Answer:
24 because you have to subtract
What’s the difference between solving a whole number and a fraction?
There’s these two methods I saw but not sure when I should use them when I do stumble on a problem.
1 method: start by multiply the numerator towards the whole number and once u do then divide the numerator and denominator separately.
2 method: start by giving the whole number a 1 of the denominator and find the lCD of the fraction and start finishing the problem from either adding or subtracting.
Both the methods can be used to solve a mixed fraction including a whole number and a fraction or solving the difference of a whole number and a fraction.
What is Mixed Fraction?Mixed fractions are type of fractions which involve a whole number and a fraction. This is of the form a \(\frac{b}{c}\). This is actually a + \(\frac{b}{c}\).
You can use either methods when solving a whole number and a fraction.
Let us take a whole number 3 and a fraction \(\frac{2}{10}\) for instance.
First Method :
Solve it by cross multiplication.
Let the denominator of the whole number 3 be 1.
\(\frac{3}{1}\) ± \(\frac{2}{10}\) = [(3 × 10) ± (2 × 1)] / (1 × 10) = [30 ± 2] / 10
If the question is for adding, we get, \(\frac{3}{1}\) + \(\frac{2}{10}\) = (30 + 2) / 10 = 32/10
If the question is finding difference, we get, \(\frac{3}{1}\) - \(\frac{2}{10}\) = (30 - 2) / 10 = 28/10
Second Method :
Again let the denominator of the whole number be 1.
Find the LCD (Least Common Denominator) of 1 and 10.
This is 10.
So we have to make the denominator of \(\frac{3}{1}\) to 10.
Multiply both numerator and denominator with 10, we get 30/10.
A normal multiplication of fractions, if the denominator is same add or subtract the numerators let the denominator be as such.
Now add or subtract \(\frac{30}{10}\) ± \(\frac{2}{10}\) = (30 ± 2) / 10.
Hence both the methods can be used.
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Question 10 of 25 What is the recursive formula for this geometric sequence? -2,-16, -128, -1024,... A. ○ B. C. (a, D. 3₁ = :-2 an = 2n-1 = = -2 an = an-1.8 • a₁ = 8 an = an-1• (-2) (a₁ = -8 30 = 20-1.2 SUBMIT
Answer:
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
Step-by-step explanation:
a recursive formula in a geometric sequence allows a term to be found by multiplying the preceding term by the common ratio r
here r = \(\frac{a_{2} }{a_{1} }\) = \(\frac{-16}{-2}\) = 8 , then
\(a_{n}\) = 8\(a_{n-1}\) ; a₁ = - 2
The histogram shows the number of cell phone calls received by Medera, a middle school student, one Saturday from 10 a.m. to 10 p.m.
A histogram titled Cell Phone Calls has time of day on the x-axis and number of calls on the y-axis. From 10 to 12 pm there were 2 calls; from 12 to 2 pm there were 8 calls; from 2 to 4 pm there were 0 calls; from 4 to 6 pm there were 10 calls; from 6 to 8 pm there were 4 calls; from 8 to 10 pm there were 2 calls.
Which statement most reasonably explains the hours when zero calls were received?
Medera turned the phone off while playing in a soccer game.
Medera’s phone can only receive 22 calls a day.
Medera only receives calls in clusters.
Medera lost her phone for two hours.
Answer:
Its A. Medera turned the phone off while playing in the soccer game
Step-by-step explanation:
Answer:
It is A.Medera turned the phone off while playing in a soccer game.
Step-by-step explanation:
got a 100 on the test
Find an equation in standard form for the hyperbola that satisfies the given conditions. Foci: (0,14),(0,-14). Transverse axis length: 6.
An equation in standard form for the hyperbola that satisfies the given conditions is \(\frac{y^{2} }{187} -\frac{x^{2} }{9} =1\)
The given conditions: Foci: (0, 14), (0,-14),
The transverse axis length is 6.
Here the foci are on the y-axis
Therefore, the equation of the hyperbola is of the form \(\frac{y^{2} }{a^{2}} -\frac{x^{2} }{b^{2}} =1\)
Since the foci are (0, 14) and (0, -14)
ae = c= 14
Since the length of the conjugate axis is 6
2b=6
b = 3
We know that
\(a^{2}+b^{2} = c^{2}\)
\(a^{2}+3^{2}= 14^{2}\)
\(a^{2} = 196-9\)
\(= 187\)
Thus the equation of the hyperbola is \(\frac{y^{2} }{187} -\frac{x^{2} }{9} =1\).
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A dairy needs 372 gallons of milk containing 6% butterfat. How many gallons each of milk containing 7% butterfat and milk containing 3% butterfat must be used to obtain the desired 372 gallons?
2x
(3x + 5)
Need a and b answered
Step-by-step explanation:
Triangle has 180 degrees in its interior angles .....90 degrees is the right angle leaving 90 degrees for 2x + 3x+ 5
2x + 3x+5 = 90
5x = 85
x = 17
smallest angle is then 2x = 34 degrees
If
log
b
(
8
)
≈
0.8
log
b
(
8
)
≈
0.8
and
log
b
(
5
)
≈
0.6
log
b
(
5
)
≈
0.6
,
log
b
(
200
)
≈
log
b
(
200
)
≈
The answer is \(Log_{b}200 = 2\)
What is logarithm?A logarithm is the power to which a number must be raised in order to get some other number.
Given that, \(log_{b} 8 = 0.8, log_{b} 5 = 0.6\)
Using formula, \(log_{b} a+log_{b} b = log_{b} ab\)
\(log_{b} 5 +log_{b} 5 = log_{b} 5*5 = log_{b} 25\\= 0.6+0.6 = 1.2\\\\\)
\(log_{b} 200 = log_{b} 25*8\\log_{b} 25*8 = log_{b} 25 + log_{b} 25*8\\ log_{b} 25 + log_{b} 25*8 = 1.2 + 0.8 = 2\)
Hence, The answer is \(Log_{b}200 = 2\)
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PLEASE HELP 50 POINTS!!
The sum of two consecutive numbers is 157. This equation, where n is the first number, represents the situation:
2n + 1 = 157.
What is the first number?
A. 77
B. 78
C. 79
D. 80
Question 14 (1 point)
Chris sells computer equipment for his company. He receives a base pay of $300
plus commission on his sales. He receives 10% for the first $5000 in sales and 15%
anything over $5000.
Last week, he sold $17000 in computer equipment. Find his gross pay.
Round to the nearest whole dollar.
For your answer, do NOT include symbols, commas, words, etc.
HELP PLS
Chris' gross pay for the week after selling computer equipment worth $17,000 is $2,600.
How is the gross pay determined?The gross pay is the addition of the base pay and the sales commission.
The sales commission is graduated and computed as follows:
Chris' base pay = $300
Sales Commissions:
First $5,000 = 10%
Above $5,000 = 15%
Last week's sales = $17,000
10% Commission = $500 ($5,000 x 10%)
15% Commission = $1,800 ($17,000 - $5,000 x 15%)
Total Commission = $2,300
Gross pay = Base Pay + Commission
= $2,600 ($300 + $2,300)
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a certain forest covers 4400 km^2 suppose that each year this area decreases by 7.25% what will the area be after 6 years?
In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.
What forest area shall remain after 6 years?
According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:
n(x) = n' · (1 - r)ˣ
Where:
n' - Initial forest area, in square kilometers.r - Grown rate.x - Time, in years.If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:
n(6) = 4400 · (1 - 0.0725)⁶
n(6) = 2801.149
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Find the product of:
\( \large \rm \: 9 \frac{2}{3} \times 1 \frac{1}{29} \times \frac{6}{15 } \times 7 \frac{1}{5} \)
Answer:
144/5
Step-by-step explanation:
\(\large \rm \: 9 \frac{2}{3} \times 1 \frac{1}{29} \times \frac{6}{15 } \times 7 \frac{1}{5} \\ = \frac{29}{3} \times \frac{30}{29} \times \frac{6}{15} \times \frac{36}{5} \\ = 10 \times \frac{216}{75} \\ = \frac{2160}{75} \\ = \frac{144}{5}
\)
Answer:
9⅔ × 1¹/²⁹ × 6/15 × 7⅕ = 29/3 × 30/29 × 6/15 × 36/5 =(29/3 × 30/29) × (6/15 × 36/5) = (29×30 / 3×29) × (6×36 / 15×5) = (30/3) × (72/25) = 30×72 / 3×25 = 144 /5.
Please mark as brainliest answer.
The coordinates of the point � G are ( 0 , 8 ) (0,8) and the coordinates of point � H are ( 8 , 8 ) . (8,8). What is the distance, in units, between the point � G and point � ? H?
The distance between the points G and H is D = 8 units
Given data ,
Let the distance between 2 points be represented as D
Now , let the first point be G ( 0 , 8 )
Let the second point be H ( 8 , 8 )
Now , let the distance between G and H be D , where
D = √( ( x₂ – x₁ )² + ( y₂ – y₁ )²)
D = √ ( 0 - 8 )² + ( 8 - 8 )²
D = √64 units
D = 8 units
Hence , the distance is 8 units
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Find the area of the triangle having the indicated angle and sides. (Round your answer to one decimal place.)
B 128°, a 86, c = 37
The area of the triangle with angle B = 128°, side a = 86, and side c = 37 is approximately 2302.7 square units.
To find the area of a triangle when one angle and two sides are given, we can use the formula for the area of a triangle:
Area = (1/2) * a * b * sin(C),
where a and b are the lengths of the two sides adjacent to the given angle C.
In this case, we have angle B = 128°, side a = 86, and side c = 37. To find side b, we can use the law of cosines:
c² = a² + b² - 2ab * cos(C),
where C is the angle opposite side c. Rearranging the formula, we have:
b² = a² + c² - 2ac * cos(C),
b² = 86² + 37² - 2 * 86 * 37 * cos(128°).
By substituting the given values and calculating, we find b ≈ 63.8.
Now, we can calculate the area using the formula:
Area = (1/2) * a * b * sin(C),
Area = (1/2) * 86 * 63.8 * sin(128°).
By substituting the values and calculating, we find the area of the triangle to be approximately 2302.7 square units.
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It takes Bethany 9 hours to proof a chapter of Hawkes Learning Systems' College Algebra book and it takes Nina 5 hours. How long would it take them working together
Hello!
Here we could use something called the work equation.
If \(x\) is considered proofing a chapter of the book, we can set up an equation such as, \(\frac{1}{9}+\frac{1}{5}=\frac{1}{x}\).
Then, all we do is solve for it.
\(\frac{1}{9}+\frac{1}{5}=\frac{1}{x}\)
\(5x+9x=45\)
\(14x=45\)
\(x=\frac{45}{14}\)
So working together, it would take them \(\frac{45}{14}\) hours to proof a chapter of the book.
Hope this helps!
Which function has a vertex at the origin?
f(x) = (x + 4)²
f(x) = x(x-4)
f(x) = -x²
f(x) = (x-4)(x+4)
Answer:
\(f(x)=-x^2\)
Step-by-step explanation:
Vertex form of a quadratic function:
\(f(x)=a(x-h)^2+k\)
where:
(h, k) is the vertexa is some constantIf the vertex is at the origin, then (h, k) = (0, 0)
\(\implies f(x)=a(x-0)^2+0\)
\(\implies f(x)=ax^2\)
Comparing this with the answer options suggests that the function with a vertex at the origin is \(f(x)=-x^2\)
Which of the following ordered pairs represents the solution to the system given below?
x − 4y = 7
5x + 9y = 6
(3, −1)
(3, 1)
(1, −3)
(−1, −3)Which of the following ordered pairs represents the solution to the system given below?
x − 4y = 7
5x + 9y = 6
(3, −1)
(3, 1)
(1, −3)
(−1, −3)
Answer:
Step-by-step explanation:
To determine which of the given ordered pairs represents the solution to the system of equations, we can substitute the values of x and y into the equations and check if they satisfy both equations.
The system of equations is:
Equation 1: x - 4y = 7
Equation 2: 5x + 9y = 6
Let's check each ordered pair:
(3, -1)
Substituting x = 3 and y = -1 into the equations:
Equation 1: 3 - 4(-1) = 7
3 + 4 = 7
7 = 7 (True)
Equation 2: 5(3) + 9(-1) = 6
15 - 9 = 6
6 = 6 (True)
Since both equations are satisfied, (3, -1) is a solution to the system.
(3, 1)
Substituting x = 3 and y = 1 into the equations:
Equation 1: 3 - 4(1) = 7
3 - 4 = 7
-1 = 7 (False)
Equation 2: 5(3) + 9(1) = 6
15 + 9 = 6
24 = 6 (False)
Since one or both equations are not satisfied, (3, 1) is not a solution to the system.
(1, -3)
Substituting x = 1 and y = -3 into the equations:
Equation 1: 1 - 4(-3) = 7
1 + 12 = 7
13 = 7 (False)
Equation 2: 5(1) + 9(-3) = 6
5 - 27 = 6
-22 = 6 (False)
Since one or both equations are not satisfied, (1, -3) is not a solution to the system.
(-1, -3)
Substituting x = -1 and y = -3 into the equations:
Equation 1: -1 - 4(-3) = 7
-1 + 12 = 7
11 = 7 (False)
Equation 2: 5(-1) + 9(-3) = 6
-5 - 27 = 6
-32 = 6 (False)
Since one or both equations are not satisfied, (-1, -3) is not a solution to the system.
Therefore, the ordered pair (3, -1) represents the solution to the system of equations.
The probability that a high school senior wins a prestigious scholarship is 0.13. The probability that a high school senior plays a varsity sport is 0.22 . If the probability that someone plays a varsity sport given that they won the scholarship is 0.55 , then what's the probability that someone wins the scholarship given that they play a varsity sport?
Answer:
0.325
Step-by-step explanation:
Let A represent the event: winning a prestigious scholarship
Let B represent the event: plays a varsity sport
Given
P(A) = 0.13P(B) = 0.22P(plays a varsity sport given that they won the scholarship)Therefore the probability that someone wins the scholarship given that they play a varsity sport is 0.325
(sin alpha +cos alpha )2
Step-by-step explanation:
sin alpha^2 + 2sin alpha* cos alpha + cos alpha^2
sin alpha^2 + cos alpha^2 +2sin alpha* cos alpha
1+ 2sin alpha* cos alpha
1+sin2 alpha
A company makes $300 each month selling its products to the public. The company has $435 in its bank account. How many months of selling its products to the public was done?
Do any of you have discord?
Answer:
300x = 435, given x represents the amount of months.
So 435 divided by 300 is 1.45 months for that amount.
Step-by-step explanation:
Ximena pays a flat cost of $44.50 per month and $4 per gigabyte. She wants to keep her bill at $50.10 per month. How many gigabytes of data can she use while staying within her budget?
Answer:
Ximena can use 1 gigabytes of data
Step-by-step explanation:
The first thing you want to do is subtract
51.10 - 44.50 = 5.6
5.6 is the amount of money she will have to spend on data
With each gigabyte costing 4 dollars and only 5 dollars to spend
she can only use one gigabyte
2− (−5) × [(−2) − (−2)] to the power of 2 + (−5) first awenswer get brainiest
Answer:
-3
Step-by-step explanation: The exponent of a number says how many times to use the number in a multiplication.
8 to the Power 2
In 82 the "2" says to use 8 twice in a multiplication,
so 82 = 8 × 8 = 64
In words: 82 could be called "8 to the power 2" or "8 to the second power", or simply "8 squared"
Exponents are also called Powers or Indices.
Some more examples:
Example: 53 = 5 × 5 × 5 = 125
In words: 53 could be called "5 to the third power", "5 to the power 3" or simply "5 cubed"
Example: 24 = 2 × 2 × 2 × 2 = 16
In words: 24 could be called "2 to the fourth power" or "2 to the power 4" or simply "2 to the 4th"
Exponents make it easier to write and use many multiplications
Example: 96 is easier to write and read than 9 × 9 × 9 × 9 × 9 × 9
You can multiply any number by itself as many times as you want using exponents.
Ty bought a new computer for $499. This brand depreciates at a rate of 12% of the original price per year. The value y of Ty's computer, x years after he purchased it, is found using an equation in the form y = mx + b. What is the approximate value of m?
Answer:
the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.
Step-by-step explanation:
o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").
Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:
m = -12% / 100 = -0.12
Mona had 32 math problems for homework. She completed 3/4 of them before dinner and the remaining 1/4 after dinner. How many problems did she complete before dinner?
Answer: 24 problems done before dinner
Step-by-step explanation:
Take the 32 total math problems and divide it by 3/4 (the amount of problems done before dinner) getting you 24 problems done before dinner
A famous recipe for New Orleans jambalaya calls for 1 1/4 cups of Gulf shrimp. The recipe serves 5 people. Trinetta and Agnes want to serve 12 people, so they increase all the ingredients proportionally. How much Gulf shrimp is required for the new recipe?
A. 1 2/5
B. 5/12
C. 3 cups
D. 4/5 cups
E. 7 cups
Answer: C. 3 cups
Step-by-step explanation:
Given: In recipe for 5 people, Required Gulf shrimp = \(1\dfrac14\) cups
Since, \(1\dfrac14=\dfrac{5}{4}\)
Required Gulf shrimp = \(\dfrac54\) cups
Then, for 1 people Gulf shrimp required = \(\dfrac{5}{4}\div 5\)
\(=\dfrac54\times\dfrac{1}{5}\)
\(=\dfrac14\) cup
For 12 people, it is required = \(12\times\dfrac14 = 3\text{ cups}\)
Hence, 3 cups of gulf shrimp is required for new recipe.
So, correct option is C. 3 cups
Sort the cards so that each group adds up to 100%
Answer:
Add the 20%, 0.40 and the 40/100 chart
Add the 1/10, the 0.10, and the 80/100 chart
And finally, add the 6%, the 4/100 chart, and the 90/100
Find the perimeter or circumference and area of each figure.
The circumference of ΔAOC, ΔAOB and ΔABC are 4√2(1+√2), 2(√5+3) and 2(3+√5+2√2) units respectively and area of ΔAOC, ΔAOB and ΔABC are 8,4 and 12 square units respectively.
What is perimeter of triangle?The perimeter of a triangle can be calculated by simply adding the length of all the sides.
What is area of triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.
There are three triangle in the given diagram namely ΔAOC, ΔAOB and ΔABC.
We will find the area and circumference of each of the triangle.
First we find area of each triangle.
Area of ΔAOC = 1/2*CO*AO = 1/2*4*4 = 8 square units.
Area of ΔAOB = 1/2*BO*AO = 1/2*2*4 = 4 square units.
Area of ΔABC = 1/2*BC*AO = 1/2*6*4 = 12 square units.
Now, we will find circumference of each triangle.
Since, ΔAOC, ΔAOB are right angled triangle
⇒ AC = \(\sqrt{AO^{2}+OC^{2} }\) = \(\sqrt{4^{2}+(-4)^{2} }\) = \(\sqrt{32}\) = 4√2 units.
and AB = \(\sqrt{AO^{2}+OB^{2} }\) = \(\sqrt{4^{2}+2^{2} }\) = \(\sqrt{20}\) =2√5 units.
Circumference of ΔAOC = AC+CO+AO = 4√2+4+4 =4√2+8 = 4√2(1+√2) units.
Circumference of ΔAOB = AB+BO+AO = 2√5+2+4 =2√5+6= 2(√5+3)units.
Circumference of ΔABC = AB+BC+AC = 2√5+6+4√2 = 2(3+√5+2√2)units.
Therefore, circumference of ΔAOC, ΔAOB and ΔABC are 4√2(1+√2), 2(√5+3) and 2(3+√5+2√2) units respectively and area of ΔAOC, ΔAOB and ΔABC are 8,4 and 12 square units respectively.
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Plz help
What is |5 x -3|?
-15
⊝
-8
⊝
15
⊝
8
Answer:
What type of math is this
Step-by-step explanation:
easiest stuff ever but I can't seem to get it
We are given that the function is related by the following
\(y=x+1\)Let us find the missing values of x and y.
1st value:
Substitute y = 1 and solve for x
\(\begin{gathered} y=x+1_{} \\ 1=x+1_{} \\ x=1-1 \\ x=0 \end{gathered}\)So, x = 0
2nd value:
Substitute x = -1 and solve for y.
\(\begin{gathered} y=x+1_{} \\ y=-1+1 \\ y=0 \end{gathered}\)So, y = 0
3rd value:
Substitute x = 10 and solve for y.
\(\begin{gathered} y=x+1 \\ y=10+1 \\ y=11 \end{gathered}\)So, y = 11
4th value:
Substitute y = 3 and solve for x.
\(\begin{gathered} y=x+1_{} \\ 3=x+1_{} \\ x=3-1 \\ x=2 \end{gathered}\)Similarly, the rest of the values are calculated.
4 children each have some beads, the mean number of beads is 8 Rajiv brings some more beads. The mean number of 5 children is now 9 what is the numberx of beads Rajiv brings
Answer:
The number of beads Rajiv brings is: 13Step-by-step explanation:
Make a plan:In this question, we need to use the formula of means to solve the. We can set the number of beads Rajiv brings as X, and use the formula of mean to get the total number of beads that the Four(4) children have and the total number of beads that the Five(5) children have.
Solve the problem:Four(4) children each have some beads, the mean number of beads is: 8
We can get the total number of beads the Four(4) children have:4 * 8 = 32
Rajiv brings some more beads:We set the number of beads Rajiv brings as:
x, so the total number of beads that the Five(5) children have is:
32 + x
The mean number of the Five(5) children is now: 9
We can get the total number of beads that the Five(5) children have:5 * 9 = 45
Now, we have the equation:32 + x = 45
x + 32 = 45
- 32 = -32
x = 13
By solving the above equation, you can get:
x = 13
Hence, The number of beads Rajiv brings is:13
Hope this helps!
Please help me understand number 3!!!
Answer:
Step-by-step explanation: