A student has 6 nickel 14 dimes and 8 quarter.what is the ratios of the total number of coins to the number of nickels ? In simplest form

Answer:

AC = 36

Step-by-step explanation:

since these triangles are similar, we can use the triangle similitary theorem. This means that the sides are proportional to each other.

ef/bc = 5/45 (1/9) = ed/ba =  2/18 (1/9)

we can see the sides are in a ratio of 1:9, and plug it in the proportion

df/ac = 1/9

4/ac = 1/9

cross multiply and we get that ac = 36

Answer:

85 inches

Step-by-step explanation:

Using pythag.  A^2 + B^2 = C^2  

(68*68) + (51*51) = 7225^2

Thus if you square root 7225, you get your answer - 85 inches.

Answer:

118°

Step-by-step explanation:

because 28 + 90 = 118

Answer:

5.50

Step-by-step explanation:

5 = whole number

.

5 = Tenths

0 = Hundreths

5.50

Answer:

Not apportionment

Step-by-step explanation:

Apportionment can be described as a way of sharing out or dividing out in the best fair method.

If a family of 10 leave the house at the same time and have to share just two bathrooms, the time allocation should not be based on age rather should be based on how early each person wakes up in the morning.

Answer:

 4.50

Step-by-step explanation:

4 = Whole number. 1 = Numerator. 2 = Denominator. To get 4 1/2 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction.

The decimal form of  4 and 1/2  is 4.5

Decimal is a fraction written in a unique form. The dot notation is used to represent the fraction form.

Therefore, 4 and 1/2 in decimal form is represented as follows;

Mixed fraction = 4  1 / 2

Improper fraction = 9 / 2

decimal form of  1 / 2 = 0.5

Therefore, 4 1 / 2 = 4.5

learn more on decimal here: https://brainly.com/question/236928

Answer:

Equation is [tex]x+\frac{16}{3}=\frac{15}{2}[/tex] where [tex]x[/tex] denotes number of cups of orange juice needed by Sam.

[tex]x=\frac{13}{6}[/tex]

Step-by-step explanation:

Let [tex]x[/tex] denotes number of cups of orange juice needed by Sam.

Number of cups needed to make punch [tex]=7\frac{1}{2} =\frac{15}{2}[/tex]

Number of cups with Sam [tex]=5\frac{1}{3}=\frac{16}{3}[/tex]

Therefore,

[tex]x+\frac{16}{3}=\frac{15}{2}\\\\x= \frac{15}{2}-\frac{16}{3}\\\\x=\frac{45-32}{6}\\\\x=\frac{13}{6}[/tex]

Answer:

108º

Step-by-step explanation:

to find the sum of interior angles: ( n − 2 ) × 180 = x

x = 540º

n = # of interior angles

first, solve for n

(n - 2) • 180 = 540                        distribute to 180 to (n - 2)

180n - 360 = 540                         add 360 to both sides

180n = 900                                  divide both sides by 180

n = 5

to find measure of each angle:

540 ÷ 5 = 108º

Answer:

38.9%

Step-by-step explanation:

a=28

b=77

c=33

d=56

e=72

a/e=.388888888

Answer:

D

Step-by-step explanation:

Answer:

[tex]x = 6[/tex]

Explanation:

Given:

[tex]Area = 24cm^2[/tex]

See attachment for shape

Required

Find x

The attached shape is a rectangle.

So:

[tex]x * 4 = 24[/tex]

[tex]4x = 24[/tex]

Divide both sides by 4

[tex]\frac{4x}{4} = \frac{24}{4}[/tex]

[tex]x = \frac{24}{4}[/tex]

[tex]x = 6[/tex]

Answer:

It means that x = 20

Step-by-step explanation:

Answer:

3⁸ or 6561

Step-by-step explanation:

First, let's look at PEMDAS - Parentheses, Exponents, Multiplication/Division, Addition/Subtraction.

There are no parentheses, so let's solve the exponents.

3² • 9³

3² = 9

9³ = 729

Your expression is:

9 • 729

Now let's multiply.

= 6561

This number can also be expressed with exponents.

Since 9 = 3², 9³ = 3²⁽³⁾

Now your expression is:

3² • 3²⁽³⁾

First, solve the exponents by multiplying.

3² • 3⁶

When you multiply two expressions with exponents that have the same base (3), you add the exponents.

3² • 3⁶ = 3⁽²⁺⁶⁾ = 3⁸

3⁸ also equals  6561.

Your answer is 3⁸ or 6561.

Hope this helps!

Answer:

infinite

Step-by-step explanation:

it results in 10-10x=10-10x if you simplify

can also be simplified more into x=x

but we already know x has to equal x.

Answer:

AB ≈ 5.6 cm

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos62° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{AB}{12}[/tex] ( multiply both sides by 12 )

12 × cos62° = AB , then

AB ≈ 5.6 cm ( to 1 dec. place )

Answer:

EBC and CBF are supplementary.

EBD=66

Step-by-step explanation:

Since vertical angles are congruent, ABE=CBF

ABE=40-x

40-x + 6x-30=90

5x+10=90

5x=80

x=16

16(6)-30=66

Answer:

12

Step-by-step explanation:

12 x 10 = 120

Answer: -3

Step-by-step explanation:

[tex]\frac{27}{-9} = -3 \\[/tex]

We can check our work my multiplying -3 by -9 and see that it equals 27

[tex]-9*[\frac{27}{-9} = -3 ]* -9\\27 = 27[/tex]

Answer:

1. x = 2

2. x = 5

3. x = 8

4. x = 28

5. x = 13

6. x = 11

7. x = 0

8. x = 72

9. x = 6

10. x = 38

Step-by-step explanation:

hope that helps!

1. subtract 6 on both sides

2. add 3 on both sides

3. divide both sides by 2

4. multiply both sides by 2

5. add 8 on both sides

6. subtract 9 on both sides

7. add 5 on both sides

8. multiply both sides by 6

9. divide both sides by 4

10. add 18 on both sides

Answer:

The line will not pass through the first quadrant.

Step-by-step explanation:

Since the y-intercept is negative, and the slope is negative, the line will start in the second quadrant, pass through the third quadrant to intercept the y-axis, then pass through the fourth quadrant. It will never touch the first quadrant.

Answer:

Step-by-step explanation:

180-50 = 130

130 / 2= 65

Answer:

x=65

Step-by-step explanation:

you can set up a equation

50 + x+x =180 = 50 + 2x =180

then minus the 50

2x= 130 and the divide by 2

x=65

Answer:

It's not really a spoiler but I like baby yoda

Answer:

I think Baby Yoda is adorable u.u

Answer:

You can do it! Sorry i can't help because your on a different level. Try your best!

Step-by-step explanation:

Answer:

C. 1

Step-by-step explanation:

C. 1

Answer:

1.50$

Step-by-step explanation:

difference in money amount: $6

difference in hours: 4

6 divided by 4 equals 1.50.

1.50 times 4 equals 6, hence its 1.50 per hour.

The rate of change in the Starbucks stock value is 150%.

Given that, At 10 AM, one share of Starbucks stock was $35. By 2 PM the price was $41.

We need to find the rate the Starbucks stock value was changing is - per hour.

A rate of change is a rate that describes how one quantity changes in relation to another quantity.

Now, the difference in money=41-35=$6

The number of hours between 10 AM to 2 PM is 4 hours.

The rate of change = The difference in money/Number of hours × 100

=6/4 × 100

=150%

Therefore, the rate of change in the Starbucks stock value is 150%.

To learn more about the rate of change visit:

https://brainly.com/question/12786410.

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Answer:

x= −11 2 + 5 2 √5 or x= −11 2 + −5 2 5

Step-by-step explanation:

Answer:

D on edg

Step-by-step explanation:

Answer:

1.) 18

2.) 55

3.)43

Step-by-step explanation: