At the sixth-grade school dance, there are 132 boys, 89 girls, and 14 adults.

A. Write the ratio of the number of boys to the number of girls.

B. Write the same ratio using another form (A: B vs. A to B).

C. Write the ratio of the number of boys to the number of adults.

D. Write the same ratio doing another form.

Answer:

2 1/6 hours

Step-by-step explanation:

2 1/3 + 1 1/2 + x = 6

convert all mixed numbers to improper fractions

7/3 + 3/2 + x = 6/1

change all numbers to have a common denominator

14/6 + 9/6 + x = 36/6

combine like terms

23/6 + x = 36/6

subtract 23/6 from both sides

x = 13/6

convert improper fraction to mixed number

2 1/6

Answer:

[tex]\mu=473.2[/tex]

Step-by-step explanation:

Binomial Distribution

The binomial distribution is commonly used to model the number of successes in a sample of size n drawn with replacement from a population of size N.

The mean value of a binomial distribution is given by:

[tex]\mu=np[/tex]

Where b is the number of trials and p is the success probability for each trial.

We need to find the mean value with parameters n=676 and p=0.7, thus:

[tex]\mu=676\cdot 0.7[/tex]

[tex]\boxed{\mu=473.2}[/tex]

Answer:

b^20/a^12

Step-by-step explanation:

b to the power of 20 over a to the power of 12

Answer:

11/12

Step-by-step explanation:

Step-by-step explanation:

Find a common denominator (12)

For 3/4, multiply the numerator and denominator by 3 to get 9/12

For 1/6, multiply by 2 to get 2/12 and then add the fractions to get 11/12

Answer: 11/12

Answer:

x = No Real Solutions

Step-by-step explanation:

[tex]-10x^2+7x+1=37[/tex]

37-1=36; [tex]-10x^2+7x+(-36)=0[/tex]

[tex]x=\frac {-7(+/-)\sqrt{7^2-4(-10)(-36)}} {2^-10}[/tex]

[tex]x=\frac {-7(+/-)\sqrt{-1391}} {-20}[/tex]

x = No Real Solutions

Answer:

the answer is A. 3/4

Step-by-step explanation:

Try using Symbolab for future reference it works really well (it's what I use ALL the time)!

Answer:

12

Step-by-step explanation: if she has 12 pounds lasagna and make 1 pounds she can make 12 pounds for 12 people? hope this help you ;]

Answer:

36

Step-by-step explanation:

Answer:

48.668 ≤ μ ≤ 63.332

Step-by-step explanation:

Given the data:

Sample (X) : 71, 45, 54, 75, 50, 49, 63, 55, 48, 50

Number of samples (n) = 10

α = 95% = 0.05

Determine the range within which the true mean of the fluid samples from the day shift will be with a 95% confidence

True mean = μ

Confidence interval :

m ± t(α/2 ; df) * s/√n

m - t(α/2 ; df) * s/√n ≤ μ ≤ m + t(α/2 ; df) * s/√n

m = sample mean ; s = sample standard deviation ; df = degree of freedom =(n - 1) = (10 - 1) = 9

Calculating the sample mean and standard deviation using calculator to save computation time :

71, 45, 54, 75, 50, 49, 63, 55, 48, 50

m = 56 ; s = 10.25

m - t(0.05/2 ; 9) * s/√n ≤ μ ≤ m + t(0.05/2 ; df) * s/√n

From t table : t(0.05/2 ; 9) = t(0.025, 9) = 2.262

56-2.262 * (10.25/√10) ≤ μ ≤ 56+2.262 * (10.25/√10)

48.668 ≤ μ ≤ 63.332

Answer:

f(x) = 17/2 or 8.5

Step-by-step explanation:

f ( x ) = 10-9/2x

By substituting the values,

f (x) = 10 - 9/2(-1/3)

= 10-3/2 = 17/2= 8.5

Answer: A

Step-by-step explanation:

The |13| means absolute value. Absolute value tells you that the value inside is always positive. Even if you have a negative number in the absolute value bars, it automatically becomes positive.

|13|-|-7|           [rewrite without absolute value]

13-7                [subtract]

6

Now, we know that the answer is 6.

Answer:

i think 6

beacase 13-71 is 6

Answer:

14 hours

Step-by-step explanation:

Jason get 12 dollars and hour so if you do 12×14 you get 168. the awnser wouldn't be 13 because 12×13 equals 157 which isn't enough.

hope this helps

Answer:

[tex] \sqrt{ \frac{c}{2} } = r[/tex]

Step-by-step explanation:

c=2rr

c = 2r×r

c= 2r²

c/2= r²

[tex] \sqrt{ \frac{c}{2} } = \sqrt{ {r}^{2} } \\ \\ \sqrt{ \frac{c}{2} } = r[/tex]

Answer:

Find the exact value using trigonometric identities.

100

Step-by-step explanation:

The exact value of 2 divided by (0.01) 2 is 20000.

We are given that;

2 divided (0.01)2

Now,

To find the exact value of 2 divided by (0.01) 2, we can use the following steps:

Rewrite 0.01 as a fraction: 0.01 = 1/100

Square both the numerator and the denominator: (0.01) 2 = (1/100) 2 = 1/10000

Flip the fraction and multiply by 2: 2 / (0.01) 2 = 2 x 10000/1 = 20000

Therefore, by algebra the answer will be 20000.

More about the Algebra link is given below.

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Given problems;

Interpret mathematically;

5. X to the fourth power plus the product of six and the square root of nine.

          X⁴  + (6 x [tex]\sqrt{9}[/tex])

X to the fourth power  X⁴

Plus    +

product of six   6 x

square root of nine    [tex]\sqrt{9}[/tex]

6. Fifteen plus eight cubed minus the sum of fourteen and six squared.

Fifteen                                   15

plus eight cubed                 + 8³

minus                                      -

the sum of fourteen and six squared  (14 + 6²)

                15 + 8³   -    (14 + 6²)

7. The product of three and fifteen minus nine plus the quotient of fifteen and three.

product of three and fifteen                         (3 x 15)

 minus nine                                                          - 9

plus the quotient of fifteen and three          + ([tex]\frac{15}{3}[/tex])

            (3 x 15) - 9 +  ( [tex]\frac{15}{3}[/tex])

8. The product of seventeen and y, plus the square root of eighty-one minus the product of six and x minus four.

The product of seventeen and y                              (17 x y)          

plus the square root of eighty-one                         + [tex]\sqrt{81}[/tex]

minus the product of six and x minus four            - (6 x X)

minus four                                                                       -4

(17 x y)   + [tex]\sqrt{81}[/tex] - (6X)  - 4

Answer:

22-9=16

so,

22-9

is 16

then you would take

16=16

so, you would have to divide the 2 numbers

then 1 is your answer

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

Answer:

perimeter is 76

area is 330

hope this helps if you can brainliest plz

Answer:

Step-by-step explanation:

7 - (6x + 3)

7 - 6x - 3 = 4 - 6x

Answer:

$0.90 per pound.

Step-by-step explanation:

4.50:5

5/5=1

4.50/5=0.90

Answer:

87 cans left

Step-by-step explanation:

multiply.16 x 6 =96 then you subtract 9 and you get 87 cans

There are 87 cans of cola left.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

If there are 6 cans in a pack, and you bought 16 packs.

Total cans.

= 6 x 16

= 96 cans

If you drank 9 cans, then the number of cans left.

=  96 - 9

= 87 cans.

Therefore,

There are 87 cans of cola left.

Learn more about expressions here:

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Answer: p(-4)=0

Step-by-step explanation:

100% correct

If x + 4 is factor of polynomial p than p(-4) = 0. Hence, option C. is correct.

(x + 4) is a factor of polynomial p

Factors can be define splitting the value in multipliable values.

If x + 4 is factor of the polynomial p
This can be true only if,
x + 4 = 0
x = -4, satisfy the polynomial equation i.e.
p(-4) = 0

Thus, x + 4 will be the factor of polynomial p only if p(-4) = 0.

Learn more about Factors here:
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Answer:

answer is 7.9 will 2 by 2 9 routing reading swimming on a rope and length to 1188 answer is land to hoga tomato hoga to answer to yahi hai gana

Answer:

D

Step-by-step explanation:

y = a[tex]x^{2}[/tex] + bx + c  is an equation for a parabola in standard form.

y = a(x - h)² + k is the equation for a parabola in vertex form.

We use y = because the parabola opens vertically.

The vertex is the point on the curve of the parabola, so either the lowest or highest point depending on whether it opens up or down.

We are given the vertex of (1,3), is the vertex formula h is the x and k is the y.

(h,k) or in this case (1,3).

Let's substitute the vertex.

y = a(x - 1)² + 3

To find a, we use the other point (2,6) to substitute in x and y to solve.

x = 2   y = 6

6 = a(2 - 1)² + 3

6 = a(1)² + 3

6 = a(1) + 3

6 = a + 3  Subtract 3 from each side.

6 - 3 = a + 3 - 3

6 - 3 = a

3 = a    

Now we have all the elements of the equation.

a = 3

h = 1

k = 3

y = 3(x - 1)² + 3

So the answer is D.

Answer:

186.3 quarts of punch

Step-by-step explanation:

175+11.3=186.3

it asks how much did she make in total so you would need to add the 2 together to get the total

Answer:

Smaller=x Larger=x+2

x+x+2=144

2x+2=144

2x+2-2=144-2

2x=142

2x/2=142/2

x=71

Smaller=71

Larger=73

Check: 71+73=144

Step-by-step explanation:

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Answer:

71 and 73

Step-by-step explanation:

First, set up an equation: let x be the smaller number, and let x+2 be the bigger one.

Then, since these two number's sum is 144, we can set up the equation x+(x+2) = 144.

Solve for x: 2x+2=144 -> 2x = 142 -> x = 71

As the smaller number is defined as x, we solved for the smaller number: 71. The bigger number is defined as x+2, so the bigger number is just going to be 2 more than the smaller number, which is 73.

Therefore, we arrive at our answers 71 and 73.

One equivalent ratio is 1:6

To get this ratio, you divide both parts of 2:12 by 2

2/2 = 1

12/2 = 6

So that's why 2:12 is equivalent to 1:6

From here we could multiply both parts by say 3

1*3 = 3

6*3 = 18

Meaning that 1:6 and 2:12 are equivalent to 3:18

==============================================

Two possible answers are 1:6 and 3:18

There are infinitely possible answers