Answer:
200 grams is 0.2 kilograms.
Step-by-step explanation:
divide the mass value by 1000
6 wholes 1/5 - 5 wholes 1/4 + 3
1 1/10 Should be right because you have to make the denominators match and it's pretty simple from there just subtract and add
In the school stadium, 1/5 of the students were basketball players, 2/15 the students were soccer players, and the rest of the students watched the games. How many students watched the games?
The number of students who watched the games = (2/3)x = [2/3 * Total number of students] = [2/3 * x] = (2/3) x 150 = 100 students.
Let's assume that the total number of students in the school stadium is x. So,1/5 of the students were basketball players => (1/5)x2/15 of the students were soccer players => (2/15)x
So, the rest of the students watched the games => x - [(1/5)x + (2/15)x]
Let's simplify the given expressions=> (1/5)x = (3/15)x=> (2/15)x = (2/15)x
Now, we can add these fractions to get the value of the remaining students=> x - [(1/5)x + (2/15)x]
=> x - [(3/15)x + (2/15)x]
=> x - (5/15)x
=> x - (1/3)x = (2/3)x
Students who watched the games are (2/3)x
.Now we have to find out how many students watched the game. So, we have to find the value of (2/3)x.
We know that, the total number of students in the stadium = x
Hence, we can say that (2/3)x is the number of students who watched the games, and (2/3)x is equal to [2/3 * Total number of students] = [2/3 * x]
Therefore, the students who watched the game are (2/3)x.
Hence the solution to the given problem is that the number of students who watched the games = (2/3)x = [2/3 * Total number of students] = [2/3 * x] = (2/3) x 150 = 100 students.
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can I get help with this problem as well? I don't want to get it wrong then not be able to get the credit again. It's my last problem.
Check the picture below.
well, the volume of the craft prism will simply be length * width * height, and we know that is 7140.
\(\textit{volume of a rectangular prism}\\\\ V=Lwh ~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ L=17\\ h=28\\ V=7140 \end{cases}\implies \begin{array}{llll} 7140=(17)w(28)\implies \cfrac{7140}{(17)(28)}=w \\\\\\ 15=w \end{array}\)
we know the area of the top is just w * 17, and the circle is just 2/5 of that, well that's just
\(\cfrac{2}{5}(15)(17)\implies (2)(17)\cfrac{15}{5}\implies (2)(17)3\underset{\textit{area of the circle}}{\implies 102~in^2}\)
The table shows the ratios of black and white keys on pianos of various size
The ratio of black and white keys of piano give correct values of A, B, C as 9, 52, 130.
The ratio of black to white keys of Piano of different sizes are as follow,
Black A 36 63 90
White 13 B 91 C
From the table of black and white keys relation of proportionality is equal to,
( A / 13 ) = ( 36 / B ) = ( 63 / 91 ) = ( 90 / C )
This implies ,
( A / 13 ) = ( 63 / 91 )
⇒ A = ( 63 / 91 ) × 13
⇒ A = ( 9 / 13 ) × 13
⇒ A = 9
Similarly,
( 36 / B ) = ( 63 / 91 )
⇒ B = 36 × ( 91 / 63 )
⇒ B = 36 × ( 13 / 9 )
⇒ B = 52
And
( 63 / 91 ) = ( 90 / C )
⇒ C = 90 × ( 91 / 63 )
⇒ B = 90 × ( 13 / 9 )
⇒ B = 130
Therefore, the correct values of A , B, C using the ratio of black and white keys of the piano is equal to 9, 52, 130.
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The above question is incomplete, the complete question is:
The table below shows the ratios of black to white keys on pianos of various sizes.
Black A 36 63 90
White 13 B 91 C
Determine which table has the correct values for A, B, and C.
A line passes through the points (-2, 8) and
(5,-20). Which points lie on the same line?
Select all that apply.
(-6, -2)
(-3, 12)
(4, 16)
(0, 6)
(-1, 4)
(7,5)
The points that lies on the same line are (-3, 12), and, (-1, 4).
Here, we have,
The given coordinate points are (-2, 8) and (5,-20).
Here, slope (m)= 8+20/-2-5
= 28/-7
=-4
Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get
8 = 8+c
or, c = 0
So, the equation of a line is y= -4 x
Now,
(-6, -2) in the given equation is -2=-4 (-6)
-2≠ 24
(-3, 12) in the given equation is y= -4 x
12 = 12
(4, 16) in the given equation is y= -4 x
16 ≠ -16
(0, 6) in the given equation is y= -4 x
6 ≠ 0
(-1, 4) in the given equation is y= -4 x
4 = 4
(7,5) in the given equation is y= -4 x
5 ≠ -28
Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).
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The population of an island was 2 million in 1950. The population grew in an exponential trend for 63 years and became 6.5 million in 2013. It is estimated that the carrying capacity of the island is 10 million. Assuming the population growth rate in the future remains the same as in the last 50 years, what will be the population of the island in 2050? (Assume constant carrying capacity and consumption/capita.)
The population of an island in 1950 was 2 million. The population grew exponentially for 63 years and reached 6.5 million in 2013. The carrying capacity of the island is estimated to be 10 million.
If the population growth rate in the future is similar to the last 50 years, what will the population be in 2050
The population is given to be increasing exponentially, which means it will follow the equation:
\($P(t) = P_0 e^{rt}$\)Here,\($P(t)$\) is the population after a period of time \($t$, $P_0$\) is the initial population, $r$ is the annual growth rate (which we are given is the same as the growth rate of the last 50 years), and \($t$\) is the time.
We can find the annual growth rate $r$ using the formula:\($$r = \frac{\ln{\frac{P(t)}{P_0}}}{t}$$\)
We know\($P_0 = 2$ million, $P(t) = 6.5$ million, and $t = 63$\) years. Substituting these values, we get:
\($r = \frac{\ln{\frac{6.5}{2}}}{63} = 0.032$\) (rounded to 3 decimal places)
Since the carrying capacity of the island is 10 million, we know that the population will not exceed this limit.
Therefore, we can use the logistic model to find the population growth over time. The logistic growth model is:
\($$\frac{dP}{dt} = r P \left(1 - \frac{P}{K}\right)$$\)
where $K$ is the carrying capacity of the environment. This can be solved to give:\($P(t) = \frac{K}{1 + A e^{-rt}}$\)
where \($A = \frac{K-P_0}{P_0}$. We know $K = 10$ million, $P_0 = 2$ million, and $r = 0.032$\). Substituting these values, we get:\($A = \frac{10-2}{2} = 4$\)
Therefore, the equation for the population of the island is:\($P(t) = \frac{10}{1 + 4 e^{-0.032t}}$\)
To find the population in 2050, we substitute\($t = 100$\) (since 63 years have already passed and we want to find the population in 2050, which is 100 years after 1950):
\($P(100) = \frac{10}{1 + 4 e^{-0.032 \times 100}} \approx \boxed{8.76}$ million\)
Therefore, the estimated population of the island in 2050, assuming constant carrying capacity and consumption per capita, is approximately 8.76 million.
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What does the slope of the line of best fit represent
The slope of the line of best fits will be $0.15 per minute. Then the correct option is A.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Take two points from the table which are (300, 90) and (100, 60). Then the slope of the line is given as,
m = (90 - 60) / (300 - 100)
m = 30 / 200
m = $0.15 per minute
The slope of the line of best fits will be $0.15 per minute. Then the correct option is A.
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how many ways can a conference of 4 boys and 4 girls be seated around a table so that boys and girls are alternate?
Using completing the square method to solve x^2-10x+25=0
The solution of the expression, \(x^{2} -10x+25 = 0\), using completing the square method is \((x-5)^{2}\).
According to the question,
We have the following expression:
\(x^{2} -10x+25 = 0\)
Now, we will use completing the square method to solve this expression.
We will first try to convert the first and last term into perfect squares and rewrite the expression by splitting the middle term in multiplication of 2 and the squares .
\(x^{2}\)-2*x*5+\(5^{2}\) = 0
Now, we know that this expression fits in the identity:
\((a-b)^{2} = a^{2} +b^{2} -2ab\)
In this case, we have a = x and b = 5
\((x-5)^{2}\)
Hence, the solution of the expression, \(x^{2} -10x+25 = 0\), using completing the square method is \((x-5)^{2}\).
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Find the length of AB.
8 m
80°
AB =[? ]m
Round your answer to the nearest hundredth.
Answer:11.17
Step-by-step explanation:
pi x D x angle /360
pi x 8x2x80/360
=11.170
For a research project, students are asked to study how often students at an online high school look at social
media while doing schoolwork.
1. Sofie decides to develop a survey.
(a) Give an example of a question she could ask on her survey.
(b) How could Sofie select a simple random sample of students to take her survey?
(c) She gives out 80 surveys but receives only 32 completed surveys. What are the sample and
population for Sofie’s research?
(d) Of the 32 students who completed surveys, 16 said they use social media while doing schoolwork. If
Sofie uses only the completed surveys, what conclusion could she make about the percent of all high
school students who use social media while doing schoolwork?
(a) Example question: "How often do you look at social media while doing schoolwork?
(b) Sofie can select a simple random sample of students by using a random number generator to assign a unique identification number to each student in the online high school.
(c) The sample for Sofie's research is the 32 completed surveys she received. These surveys represent the responses of a subset of the population. The population, in this case, refers to all the students at the online high school.
(d) If Sofie uses only the completed surveys, she can conclude that approximately 50% (16 out of 32) of the students who completed the survey reported using social media while doing schoolwork.
(a) Please select one of the following options: never, rarely, occasionally, frequently, or always."
(b) She can then use the random number generator again to select a specific number of students from the entire population of students, ensuring that each student has an equal chance of being selected. For example, if there are 500 students in total and Sofie wants a sample size of 50, she can generate 50 random numbers and select the corresponding students based on their identification numbers.
(d) However, it is important to note that this conclusion is specific to the sample of completed surveys and cannot be generalized to the entire population of high school students.
To make an inference about the percent of all high school students who use social media while doing schoolwork, Sofie would need a larger and more representative sample that covers a wider range of students in the online high school.
Additionally, she should consider potential biases in the sample, such as non-response bias if the students who chose not to complete the survey have different social media usage patterns compared to those who did respond.
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Fill in the blanks.
3 + (2 + 5) + (3 + 2) +_
3 + _ = 9 + 3
Answer:
3 + (2 + 5) =(3 + 2) +5_
3 + 9_ = 9 + 3
A rock is thrown into a still pond. The circular ripples move outward from the point of impact of the rock so that the radius of the circle formed by a ripple increases at the rate of 3 feet per minute. Find the rate at which the area is changing at the instant the radius is 4 feet.
The rate of change of area when radius = 4feet is 75.36 feet²/min.
What is area?Area definition, any particular extent of space or surface.
Area of circle = πr²
Let the area of the circle be πr²
dr/dt = 3feet/min (GIVEN)
Differentiating both sides with respect to time:
A = πr²
dA/dt = π(2r).(dr/dt)
dA/dt = (2 * 3.14 * r).(dr/dt)
The rate of change of area when radius = 4feet
dA/dt = (2 * 3.14 * 4).(3)
dA/dt = 75.36
Hence, the rate of change of area is 75.36feet²/min.
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HELP I WILL MARK BRAINLIEST
Answer:
I think your right my dude
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
what is the difference between ka and kb and what is the mathematical relationship between them?
Ka and Kb are both acid-base equilibrium constants, but they apply to different types of reactions. Ka (acid dissociation constant) is used to describe the dissociation of an acid in water, while Kb (base dissociation constant) is used to describe the dissociation of a base in water.
Specifically, Ka is a measure of the strength of an acid in terms of how easily it donates a proton (H+) to a solvent like water. A higher Ka value indicates a stronger acid, while a lower Ka value indicates a weaker acid. Kb, on the other hand, is a measure of the strength of a base in terms of how easily it accepts a proton (H+) from a solvent like water. A higher Kb value indicates a stronger base, while a lower Kb value indicates a weaker base. There is a mathematical relationship between Ka and Kb for conjugate acid-base pairs, which are molecules or ions that differ by the presence or absence of a single proton. The relationship is expressed by the equation: Ka x Kb = Kw, where Kw is the ion product constant for water, which is 1.0 x 10⁻¹⁴ at 25°C. This relationship shows that the stronger the acid, the weaker its conjugate base, and vice versa.
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6(2x²-5) = [?]
x = -3
Answer:
Below
Step-by-step explanation:
Put ' - 3' into the equation where 'x' is and compute
6 ( 2(-3)^2 -5) =
6 ( 2*9 -5)
6 ( 18-5)
6(13) = 78
Solve the inequality
22 + 4x - 32 < 0
Answer:
x=5
Step-by-step explanation:
22 + 4x - 32 < 0
+32 +32
22 + 4x < 32
-22 -22
2x < 10
divide by 2
x=5
Four kids. Aaron, Bessy, Carl and Dawn play with beads. They start with 200 beads in all. Aaron gave Bessy 26 beads. Bessy gave Carl 36 beads. Carl gave Dawn 32 beads, and Dawn gave Aaron 4 beads. They end up with the same number of beads as each other. How many beads did Aaron, Bessy, Carl and Dawn have at the beginning?
Answer:
200
Step-by-step explanation:
because that is what they start with
according to the sentence
The ellipse can be drawn with parametric equations. Assume the curve is traced clockwise as the parameter increases. If x = 2 cos(t) then y =
When x = 2 cos(t), the parametric equation for y in this ellipse is y = -b sin(t), assuming the curve is traced clockwise as the parameter increases.
To find the parametric equation for y in an ellipse where x = 2 cos(t) and the curve is traced clockwise as the parameter increases, you can follow these steps:
1. Remember that the general parametric equations for an ellipse with a horizontal semi-major axis of length "a" and a vertical semi-minor axis of length "b" are x = a cos(t) and y = b sin(t).
2. In your case, you are given x = 2 cos(t), so the horizontal semi-major axis length "a" is 2.
3. Since the curve is traced clockwise as the parameter increases, we need to use a negative sign for the sine function to achieve the clockwise direction.
4. Therefore, the parametric equation for y in this ellipse is y = -b sin(t), where "b" is the length of the vertical semi-minor axis.
So, when x = 2 cos(t), the parametric equation for y in this ellipse is y = -b sin(t), assuming the curve is traced clockwise as the parameter increases. Keep in mind that you'll need to determine the value of "b" based on the specific ellipse you're working with.
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what is recommended as a way to ensure that you have included all possible answer choices in a survey?
One of the ways that are recommended to ensure that you have included all possible answer choices in a survey is to pilot test the survey.
This can be done by using a small sample of the target population before the actual survey is conducted.
The pilot test is done to help in identifying any errors in the survey questions, answer choices, or instructions.
The pilot test also helps to check the length and format of the survey to ensure that it is not too long and confusing.
To ensure that all possible answer choices are included, the researcher should ensure that the questions are comprehensive and cover all the areas that the survey intends to measure.
This requires a clear definition of the research problem and objectives.
The researcher should also have a clear understanding of the target population to ensure that the survey is appropriately designed and administered.
Additionally, the researcher should avoid biased questions and answer choices that may influence the response of the participants.
The answer choices should be exhaustive and exclusive to avoid ambiguity.
The use of open-ended questions may also be used to gather more detailed responses from the participants.
The survey should be structured in a logical manner to ensure that it is easy to complete by the participants.
In conclusion, pilot testing the survey, comprehensive question design, and avoiding biased questions are some of the ways to ensure that all possible answer choices are included in a survey.
Additionally, the survey should be structured logically and avoid ambiguity.
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mov ecx, 0x00002710
mov eax, 0x00007530
div ecx
test edx, edx
jz loc_00401044
1. What are the values of eax and edx after the division takes place?
2. What are the roles of eax and edx concerning the result of the div instruction?
3. Is the jump taken? If the test instruction was replaced with 'test eax, eax' is the jump taken? Explain your answer in detail.
The values of `eax` and `edx` after the division takes place will depend on the specific architecture and the values of `eax` and `edx` before the division.
1. In the given code snippet, `eax` is set to 0x00007530 and `ecx` is set to 0x00002710. Since the `div` instruction performs unsigned division, it divides the double-word value formed by concatenating `edx` and `eax` by the value in the `ecx` register.
After the division, the quotient will be stored in `eax`, and the remainder will be stored in `edx`. However, note that dividing by zero will cause an exception, so the result will depend on whether `ecx` is zero or not.
2. The roles of `eax` and `edx` concerning the result of the `div` instruction are as follows:
- `eax`: It holds the high-order 32 bits of the dividend. After the division, it will contain the quotient.
- `edx`: It holds the low-order 32 bits of the dividend. After the division, it will contain the remainder.
3. In the given code, the `test edx, edx` instruction checks whether `edx` is zero or not. If `edx` is zero (the zero flag is set), the `jz` instruction will jump to the address `loc_00401044`.
If the `test` instruction was replaced with `test eax, eax`, it would check whether `eax` is zero or not. The jump will be taken (to `loc_00401044`) only if `eax` is zero, i.e., the zero flag is set.
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Which of the below is/are not correct? A. The product of two matrices A and B, denoted AB, is defined as the standard matrix of a linear transformation which is a composition of two consecutive linear transformations whose standard matrices are B and A, respectively. B. A column i of the matrix AB is a product of the matrix A and the columni of the matrix B. C. An entry (i,j) of the matrix AB is calculated as a sum of the products of the corresponding entries in row i of A and in column / of B. The product AB is defined when the number of rows in A is equal to the number of columns in B. D. E. Matrix multiplication is commutative: AB=BA. The cancellation law holds: if AB=AC, then B = C.
The incorrect statements are A and D.
Statement A is incorrect. The product of two matrices A and B, denoted AB, is defined as the standard matrix of a linear transformation resulting from the composition of two consecutive linear transformations whose standard matrices are A and B, respectively. In other words, the matrix B represents the transformation applied first, followed by the transformation represented by matrix A. The order of multiplication matters in matrix multiplication, and reversing the order of matrices A and B will result in a different composition of linear transformations.
Statement D is incorrect. Matrix multiplication is not commutative, meaning that in general, AB does not equal BA. The order of multiplication matters, and switching the order of matrices A and B will yield different results unless A and B happen to be special matrices with specific properties.
Statements B and C are correct. In matrix multiplication, each column i of the resulting matrix AB is obtained by multiplying the matrix A with the corresponding column i of matrix B. Similarly, each entry (i, j) of the matrix AB is calculated as a sum of the products of the corresponding entries in the ith row of A and the jth column of B. The product AB is defined when the number of rows in A is equal to the number of columns in B.
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what dx gets doxy no matter what age?
It is important to consult a healthcare provider to determine if doxycycline is appropriate for a particular individual, regardless of their age.
Doxycycline is a broad-spectrum antibiotic that is used to treat a variety of bacterial infections. However, there are certain medical conditions and factors that may contraindicate the use of doxycycline.
Some of the common medical conditions that may prevent the use of doxycycline include:
Allergy or hypersensitivity to doxycycline or other tetracycline antibiotics.
Severe liver disease or impairment.
Pregnancy or breastfeeding.
Children under the age of 8 (because doxycycline can cause permanent discoloration of teeth and affect bone growth).
Kidney disease, because doxycycline is excreted through the kidneys and may accumulate to toxic levels.
In general, the use of doxycycline is based on the patient's medical history, the severity of the infection, and other factors such as age and weight. Therefore, it is important to consult a healthcare provider to determine if doxycycline is appropriate for a particular individual, regardless of their age.
Complete question : It is important to consult a healthcare provider to determine if doxycycline is appropriate for a particular individual, regardless of their age. what dx gets doxy no matter what age?
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Which system of equations has a solution of (-2,-2,-2)?
OA
s+y=0
3-==-2
s+y=z=-4
OB. 31 - y = -8
y - 3z = -8
2 + y + z = -8
OC.
1 + 2y = -6
y + 2z = -6
I-y-z = 2
OD. 1-2y + z = 0
2y +9z = -20
I= y + z = 0
The system of equations that have a solution of (-2,-2,-2) is (b) x + 2y = -6, y + 2z = -6 and x - y - z = 2
How to determine the system of equations?The attached figure represents the proper format of the equations.
The solution is given as:
(x,y,z) = (-2,-2,-2)
To determine the system of equation, we simply substitute the values of x, y and z in the equations in the options.
So, we have:
Option 1:
x + y = 0
y - z = -2
x + y - z = -4
Evaluate
x + y = 0
-2 - 2 = 0 --- False
This means that this system of equations do not have a solution of (-2,-2,-2)
Option 2:
x + 2y = -6
y + 2z = -6
x - y - z = 2
Evaluate
x + 2y = -6
-2 + 2 * -2 = -6 --- True
y + 2z = -6
-2 + 2 * -2 = -6 ---- True
x - y - z = -2
-2 + 2 + 2 = 2
This means that this system of equations have a solution of (-2,-2,-2)
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A car travels 180 miles in 4 hours. Calculate the average speed of the car in mph.
Answer:
45 mph
Step-by-step explanation:
180 / 4= 45
Write an exponential function in the form y=ab^x that goes through points (0, 2) and (6, 8192)
Answer:
y=2(2 2^(1/6))^x
Step-by-step explanation:
y=2(2 2^(1/6))^x
since b^x with x being zero b has to be 1 and since y = 2 a also = 2
then insert that back into the equation
Hope that helps :)
The exponential function that goes from (0, 2) and (6, 8192) will be y = 2(\(4^{x}\)).
What is an exponential function?In mathematics, an exponential function is a relationship of the type y = ax, where x is an independent variable that spans the entire real number line and is expressed as the exponent of a positive number.
As per the given exponential function,
y = a\(b^{x}\)
Put (0, 2) into the above function,
2 = a(b)⁰
a = 2
Put (6, 8192) and a = 2
8192 = 2(b)⁶
b⁶ = 4096
b = 4
Thus required function will be y = 2(\(4^{x}\)).
Hence"The exponential function that goes from (0, 2) and (6, 8192) will be y = 2(\(4^{x}\))".
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Suzy needs a raise in her allowance to buy the new iPhone. In order to do so, she must make a total average of 90 in all of her classes. Her science average is an 85, her math average is a 92, her history average is a 95, and her choir class is a 95. Her English class is undetermined as of now. What does Suzy have to make in English to be able to receive her raise?
Answer:
83
Step-by-step explanation:
Total averages from the known classes
85+92+95+95=367
367+83=450
Divide 450 by the number of classes she has(5)
=90
what is the volume of the cube if one side is equal to 6 cm
Answer:
The volume is 216 cm³
Step-by-step explanation:
Hope this helped Mark BRAINLEST!!!
Mr.Lopez has 24 more books than Mrs.Hill if the ratio of their books is 7:4 how many books does Mrs. Hall have?
Answer:
Number of books with Mrs. Hall = 32
Step-by-step explanation:
Suppose that Mrs. Hill has \(x\) books.
Also, Mr. Lopez has 24 more books than Mrs. Hill.
So,
Number of books with Mr. Lopez = \(x+24\)
Ratio of their books = \(7:4\)
Therefore,
\(\frac{x+24}{x}=\frac{7}{4}\\\\4(x+24)=7x\\\\4x+96=7x\\\\96=3x\\x=\frac{96}{3}\\\\x=32\)
Number of books with Mrs. Hall = 32
The wrestling team wants to sell pies for a
fundraiser, The cafeteria helped out by
donating 2 pies. Each pie will be cut into 4
pieces. If the team wants to sell at least 32
pieces, how many pies must the wrestling
team bake ?
Answer:
6
Step-by-step explanation:
2x4=8
32-8=24
24/4=6
=6