Ratios
Express each ratio as a fraction in the simplest for
MI
1) 18 pounds to 22 pounds
Answers
Answer:
h
Step-by-step explanation:
eteujj
18/22
They’re both divisible by 2
18/22 divided by 2/2
(18/22) / (2/2)= 9/11
So, the ratio as a fraction is simplest form would be
9/11
Related Questions
A neighborhood is trying to set up school carpools, but they need to determine the number of students who need to travel to the elementary school (ages 5-10), the middle school (ages 11-13), and the high school (ages 14-18). A histogram summarizes their findings:
Histogram titled Carpool, with Number of Children on the y axis and Age Groups on the x axis. Bar 1 is 5 to 10 years old and has a value of 3. Bar 2 is 11 to 13 years old and has a value of 7. Bar 3 is 14 to 18 years old and has a value of 4.
Which of the following data sets is represented in the histogram?
{3, 3, 3, 7, 7, 7, 7, 7, 7, 7, 4, 4, 4, 4}
{5, 10, 4, 11, 12, 13, 12, 13, 12, 11, 14, 14, 19, 18}
{5, 6, 5, 11, 12, 13, 12, 13, 14, 15, 11, 18, 17, 13}
{3, 5, 10, 11, 13, 7, 18, 14, 4}
Answers
The correct answer is that the data set {3, 7, 4} is represented in the given histogram.(option-a)
The given histogram represents the number of children in each age group who need to travel to school. Since the histogram has only three bars, we can conclude that there are only three age groups.
The first bar represents children aged 5-10, of which there are 3. The second bar represents children aged 11-13, of which there are 7. The third bar represents children aged 14-18, of which there are 4.
Therefore, the data set that is represented in the histogram is:
{3, 7, 4}
None of the other data sets given match the values in the histogram. The first data set has duplicate values and is not sorted by age group. The second data set includes ages that are not represented in the histogram. The third data set has values for ages 6, 11, 12, 13, 14, 15, 17, and 18, but the histogram does not have bars for all those ages. (option-a)
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The reciprocal of 15 is
1.
Answers
Answer:
1/15 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
f(x)=x^2-8, g(x)=17-x
(f/g)(-4)=?
Answers
The quotient between the two functions evaluated in -4 is equal to 8/21.
How to find the quotient?
Here we have the two functions:
f(x) = x^2 - 8
g(x) = 17 - x
And we want to find:
(f/g)(-4)
That can be rewritten as:
f(-4)/g(-4)
By evaluating the two functions we get:
f(-4) = (-4)^2 - 8 = 16- 8 = 8
g(-4) = 17 - (-4) = 17 + 4 = 21
replacing that in the quotient we get
f(-4)/g(-4) = 8/21
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Write 26/100 as a product of a whole number and a unit fraction
Answers
Answer:
13/50
Step-by-step explanation:
the diagram shows what tina had left from a yard of fabric. she now uses 2/3 yards of fabric for a project.how much of the original yard of fabric did tina have after the project
Answers
The Photography Club has 14 members, 10 girls and 4 boys. What is the ratio
of girls to boys in the Photography Club?
A. 5:2
B. 2:5
C. 1.2
Answers
Answer:
A
Step-by-step explanation:
Divide them both by 2 an you get 5 and 2. Since the question says girls to boys then you out the girls first. so 5:2
Jenna picked a pumpkin at the pumpkin patch that weighed 8 and 1 half pounds, Her little sister, sandy, picked a pumpkin that weighed one half of that amount, how much did sandys pumpkin weigh
Answers
Answer:
4 pounds and 1/4 ounces
Step-by-step explanation:
8 and 1 half pounds = 8.5 Ibs
One half of 8.5 = 8.5/2 = 4. 25 Ibs or 4 & 1/4 or 4Ibs 4 ounces.
3 to the power of 5 = 243. Explain how to use that fact to quickly evaluate 3 to the power of 6
Answers
Step-by-step explanation:
3^6 = 3 * 3^5
= 3 * 243 = 729
In ΔFGH, h = 840 inches, � m∠F=93° and � m∠G=49°. Find the length of g, to the nearest 10th of an inch.
Answers
Let's use the formula:
g / sin(G) = h / sin(H)
Substituting the given values:
g / sin(49°) = 840 / sin(93°)
Now, we can solve for g. Rearranging the equation, we have:
g = (sin(49°) * 840) / sin(93°)
Using a calculator, we can evaluate this expression to find the approximate length of g.
g ≈ (0.7502 * 840) / 0.9998
g ≈ 630.168 / 0.9998
g ≈ 630.227
Therefore, the length of side g, rounded to the nearest tenth of an inch, is approximately 630.2 inches.
Is. She analyzes
st.
Martha graphs the data for the number of bracelets made, a, and the number of beads used,
y, and draws a line through the points.
Number of Beads Used
600
500
400
300
200
100
0
Bracelets Made
versus Beads Used
(31, 651)
(23, 483).
(10, 210)
5 10 15 20 25 30 35
Number of Bracelets Made
Write an equation that represents the relationship between the number of bracelets made
and the number of beads used. Show or explain how you found the slope and y-intercept.
Enter your equation and your work or explanation in the space provided.
You may use the drawing box to add a drawing to help explain your answer.
A
7
44
▶
Exhibits
P
Answers
The equation for the relationship between the number of bracelets made and the number of beads is y = 21x.
First, the rate of change
= (483 - 210) / (23 - 10)
= 273 / 13
= 21
So, the equation for the relationship between the number of bracelets made and the number of beads used.
(y - 210) = 21 (x- 10)
y - 210 = 21x - 210
y = 21x
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Question Tell whether the statement is true or false. If A is 15% of B, then B:A is 85:15. Please Help!!!
Answers
To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
Answers
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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There are 17 counters in a bag. The table shows the number of counters of each colour. Colour Number of Counters Red 7 What fraction of the counters are blue? Blue 2 Yellow 5 Green 3
Answers
Answer: 2/17 or 2 over 17
Step-by-step explanation:
Convert (87.1352) 10 to base 8
Answers
Answer:
It comes out to around 127
Step-by-step explanation:
(6x+4)(3x+2)
what is the answer
Answers
Answer:
\(18x^{2} + 24x+8\)
Step-by-step explanation:
Hello! Find Domain and range, thank you :-)
Answers
Range:[-infinity,3)
You may want to check your notation with this as I am rusty with interval notation but here are the answers.
What is the domain of f(x)? {x | 1 < x < 5} {x | 1 < x < 5} {y | −4 < y < 1} {y | −4 < y < 1}
Answers
The domain of function f(x) is given as follows:
{x | 1 ≤ x < 5}.
How to define the domain and range of a function?The domain of a function is defined as the set containing all possible input values of the function, that is, all the values assumed by the independent variable x in the context of the function.The range of a function is defined as the set containing all possible output values of the function, that is, all the values assumed by the dependent variable y in the context of the function.The values of x of the function given at the end of the answer are as follows:
Starts at x = 1(closed interval).Ends at x = 5 (open interval).Hence the domain is given as follows:
{x | 1 ≤ x < 5}.
Missing InformationThe function is given by the image presented at the end of the answer.
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Answer:
A - {x | 1 < x < 5}
Step-by-step explanation:
took the Quiz
What is the domain of the function y=2 /X-6? EXCO o osx
Answers
Answer:
last option
\(6 \leqslant x < \infty \)
i do not understand how this works... b(n)=4−6(n−1)
Answers
John has 6 pairs of pants and 3 shirts. How many possible outfits consisting of one shirt and
one pair of pants can he select?
Answers
Answer:
18
Step-by-step explanation:
3 shirts for each pants
Evaluate x³ - y¹ if x = 2 and y = 7.
Answers
Step-by-step explanation:
x³-y¹ if x=2,y=7 we will just substitute for the value
2³-7¹
=8-7
=1
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To find the quotient 104/8 104 as an expression with partial products
Answers
The value of the quotient 104/8 is 13
How to rewrite the expression as a partial product?The quotient expression is given as
104/8
Express 104 as 80 + 24
So, we have
104/8 = (80 + 24)/8
Split the fraction in the above expression
So, we have
104/8 = 80/8 + 24/8
Evaluate the quotients
So, we have
104/8 = 10 + 3
Evaluate the sum
So, we have
104/8 = 13
Hence, the value of the quotient 104/8 is 13
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g An orange juice producer buys oranges from a large orange grove that has one variety of orange. The amount of juice squeezed from these oranges is approximately normally distributed, with a mean of 4.70 ounces and a standard deviation of 0.40 ounce. Suppose that you select a sample of 25 oranges. a. What is the probability that the sample mean amount of juice will be at least 4.60 ounces
Answers
Answer: An orange juice producer buys oranges from a large orange grove that has one variety of orange. The amount of juice squeezed from these oranges is approximately normally distributed, with a mean of 4.70 ounces and a standard deviation of 0.40 4. ounce. hope i helped
Step-by-step explanation:
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $21 monthly fee and charges an additional
$0.14 for each minute of calls. The second plan has a $29 monthly fee and charges an additional $0.10 for each minute of calls. For how many minutes of calls
will the costs of the two plans be equal?
Answers
Answer:
200 minutes of calls
Step-by-step explanation:
Let x represent the number of minutes of calls
Set up expressions that represent the costs for each plan:
0.14x + 21 can represent the first plan
0.10x + 29 can represent the second plan
Now, set them equal and solve for x to find when they will be equal:
0.14x + 21 = 0.10x + 29
0.04x + 21 = 29
0.04x = 8
x = 200
So, the costs will be equal with 200 minutes of calls
One side of a rectangle is 6 centimeters shorter than six times another side. Find the length of the shorter side if we also know that the perimeter of the rectangle is 156 centimeters.
Answers
length of the shorter side is 12cm
Explanation:let one of the side of th rectangle = x
six times this side = 6x
Another side is 6cm shorter than six times the previous side
this side = 6x - 6
The perimeter of a rectangle = 2(length + width)
let the unknown side = width = x
let the length = 6x - 6
The perimeter of the triangle is given as 156 cm
Perimeter = 2(6x - 6 + x)
156 = 2(6x - 6 + x)
solve for x:
156 = 2(7x - 6)
divide both sides by 2:
\(\begin{gathered} \frac{156}{2}=2(\frac{7x -6}{2}) \\ 78\text{ = 7x - 6} \end{gathered}\)\(\begin{gathered} \text{Add 6 to both sides:} \\ 78\text{+ 6 = 7x } \\ 84\text{ = 7x} \end{gathered}\)\(\begin{gathered} \text{divide both sides by 7:} \\ \frac{84}{7}\text{ = }\frac{7x}{7} \\ x\text{ = 12} \end{gathered}\)The width = x = 12
The length = 6x - 6 = 6(12) - 6
The length = 66
From the above, we see the length of the shorter side is 12cm
1. If 12 kg of sugar cost $ 250, calculate the cost of 20 kg of sugar.
Answers
Answer: 416.7
250/12 = 20.8
20.8 x 20 = 416.7
Please help me answer this question:
Answers
Answer:
Total area = 141,
the trapezoid = 117, the triangle=24
Help please!!!!!!!!!!!!!
Answers
Answer:
See below
Step-by-step explanation:
1. Here, we use the law of alternate interior angles. <3 and <6 are are alternate interior angles, meaning they have the same measure. We can solve x by using this equation:
3x-2=34
Add 2 to both sides
3x-2+2=34+2
3x=36
Divide both sides by 3
3x/3=36/3
x=12
2. Here, we use the law of consecutive interior angles. <4 and <6 are consecutive interior angles, meaning that the sum of their measures is equal to 180 degrees. We can solve x by using this equation:
-2x+20+6x+20=180
4x+40=180
Subtract both sides by 40
4x+40-40=180-40
4x=140
Divide both sides by 4
4x/4=140/4
x=35
3. Here, we use the law of alternate exterior angles. <7 and <2 are alternate exterior angles, meaning that their measures are the same. We can solve x by using this equation:
4x+3=x+15
Subtract both sides by 3
4x+3-3=x+15-3
4x=x+12
Subtract both sides by x
4x-x=x+12-x
3x=12
Divide both sides by 3
3x/3=12/3
x=4
4. Here, we use the law of alternate interior angles (again). <4 and <5 are alternate interior angles, meaning that they have the same measure. We can solve x by using this equation:
5x-3=3x+17
Add both sides by 3
5x-3+3=3x+17+3
5x=3x+20
Subtract both sides by 3x
5x-3x=3x+20-3x
2x=20
Divide both sides by 2
2x/2=20/2
x=10
5. Here, we use the law of consecutive interior angles (again). <3 and <5 are consecutive interior angles, meaning that the sum of their measures is equal to 180 degrees. We can solve x by using this equation:
5x-6+19=180
5x+13=180
Subtract both sides by 13
5x+13-13=180-13
5x=167
Divide both sides by 5
5x/5=167/5
x=33.4
I hope this helps!
Answer:
Here, we use the law of alternate interior angles. <3 and <6 are are alternate interior angles, meaning they have the same measure. We can solve x by using this equation:
3x-2=34
Add 2 to both sides
3x-2+2=34+2
3x=36
Divide both sides by 3
3x/3=36/3
x=12
2. Here, we use the law of consecutive interior angles. <4 and <6 are consecutive interior angles, meaning that the sum of their measures is equal to 180 degrees. We can solve x by using this equation:
-2x+20+6x+20=180
4x+40=180
Subtract both sides by 40
4x+40-40=180-40
4x=140
Divide both sides by 4
4x/4=140/4
x=35
3. Here, we use the law of alternate exterior angles. <7 and <2 are alternate exterior angles, meaning that their measures are the same. We can solve x by using this equation:
4x+3=x+15
Subtract both sides by 3
4x+3-3=x+15-3
4x=x+12
Subtract both sides by x
4x-x=x+12-x
3x=12
Divide both sides by 3
3x/3=12/3
x=4
4. Here, we use the law of alternate interior angles (again). <4 and <5 are alternate interior angles, meaning that they have the same measure. We can solve x by using this equation:
5x-3=3x+17
Add both sides by 3
5x-3+3=3x+17+3
5x=3x+20
Subtract both sides by 3x
5x-3x=3x+20-3x
2x=20
Divide both sides by 2
2x/2=20/2
x=10
5. Here, we use the law of consecutive interior angles (again). <3 and <5 are consecutive interior angles, meaning that the sum of their measures is equal to 180 degrees. We can solve x by using this equation:
5x-6+19=180
5x+13=180
Subtract both sides by 13
5x+13-13=180-13
5x=167
Divide both sides by 5
5x/5=167/5
x=33.4
I hope this helps!
Step-by-step explanation:
Matrix M has x-rows and (11-x) columns. Matrix N has y-rows and (y+5) columns. If MN and NM both are defined, find the values of x and y
Answers
Answer:
\(x=8, y=3\)
Step-by-step explanation:
Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.
Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:
\(y=11-x----(1)\)
Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:
\(y+5=x----(2)\)
Substitute (1) into (2):
\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)
Substitute (3) into (1):
\(y=11-8=3\)
Hw
EXERCISE solve the following problems
? Rhonda had to draw the lines of symmetry in the parallelogram below
She drew this:
Was she correct?
Yes No
shape
Explain your answer
How many lines of symmetry are
in the 5-pointed star to the right?
raw the lines of symmetry
Answers
hpps|hskao.con