A money jar contains only quarters and dimes. The ratio of quarters to dimes in a money jar is 2:7. How many dimes are in the money jar if there are 63 total coins?
A 14
B 18
C 49
D 54​

Answer:

  2, 3, 5 are true statements

Step-by-step explanation:

A diagram of the geometry is helpful. Our understanding of your description is shown in the first attachment. The second attachment shows how the various angles relate to each other. An exterior angle and its adjacent interior angle are a linear pair, so are supplementary.

__

1. BEC is an exterior angle -- False, it is an interior angle

2. DEC is an exterior angle -- True

3. ABE and EBC are supplementary -- True, they are a linear pair

4. BCF and DEC are supplementary -- False, they are unrelated exterior angles

5. BEC is a remote interior angle to BCF -- True

Answer:

Step-by-step explanation:

2,3,5

Answer:

9x + 36 = 63

Step-by-step explanation:

Let x represent the number of toys that each club member donated.

There are 9 students in a service club.

If each club member donated 4 children's books for the baskets, it means that the total number of books donated by the club members would be

9 × 4 = 36

If each club member also donated an equal number of toys. It means that the total number of toys donated by the club members would be

9 × x = 9x

A total of 63 items were collected for the baskets. Therefore, the linear equation that you can use to find how many toys each club member donated would be

9x + 36 = 63

:)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x represent the number of toys that each club member donated.

There are 9 students in a service club.

If each club member donated 4 children's books for the baskets, it means that the total number of books donated by the club members would be

9 × 4 = 36

If each club member also donated an equal number of toys. It means that the total number of toys donated by the club members would be

9 × x = 9x

A total of 63 items were collected for the baskets. Therefore, the linear equation that you can use to find how many toys each club member donated would be

9x + 36 = 63

Answer:

39 cm ²

Step-by-step explanation:

Answer:

14 centimeters is 140 milimeters

Step-by-step explanation:

multiply centimeters by ten to get millimeteres

Answer:

The answer is

→ 14,000 cubic millimeters

Step-by-step explanation:

Given: 14 cubic centimeters.

14 cubic centimeters to cubic millimeters is 14,000 cubic millimeters.

Step 1: Multiply 14 by 1,000

[tex]14*1,000=14,000[/tex]

Hence, your answer is 14,000 cubic millimeters.

Answer:

Therefore, he should buy 6 orders of the 10-burrito special.

Step-by-step explanation:

12 x 6 = 72

7.50 x 10 = 75

Answer:

1)

Expression: (a-5)2

Simplified: 2a−10

2)

Expression: a-9 x a17a7

Simplified: a−9xa24

3)

Expression: a-4a-7

Simplified: −3a−7

4)

Expression: (a3)-2 x a2a3

Simplified: a3−2xa5

5)

Expression: a22(a3)8

Simplified: 8a25

6)

Expression: a0x (a2)6

Simplified: 2+x>4

(−3−5i)−(4+2i)

6/8

7)

Expression: (a5)3

Simplified: 3a5

8)

Expression: a-4x a15

Simplified: a−4xa15

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Answer:

Area of Circle = π[tex]r^{2}[/tex]

Step-by-step explanation:

Diameter = 40 in ....... (given)

Radis = 1/2.40 = 20 in

Area of Circle = π[tex]r^{2}[/tex]

= 22/7.[tex]20^{2}[/tex]

= 1 257,14 inches squared

The intensity of soundwave at a distance of 12 miles is 222.22 miles.

The link between two variables whose ratio is equal to a constant number is known as a direct proportional, while the multiplication of two variables whose ratio is equal to a constant number is known as an inversely proportional.

It is given that the intensity of a radio signal from the radio station varies inversely as the square of the distance from the station. therefore, the relation between the intensity of the radio wave(I) and distance(r) can be written as,

[tex]I\propto \dfrac{1}{r^2}\\\\\\I=k \dfrac{1}{r^2}[/tex]

Now, it is stated that the intensity of the radio wave at a distance of 2 miles is 8000 units, therefore, substituting the value in the above equation to get the value of the constant,

[tex]I=k\dfrac{1}{r^2}\\\\8000=k\dfrac{1}{2^2}\\\\8000=k\dfrac{1}{4}\\\\k = 8000 \times 4 = 32,000\rm\ units[/tex]

Thus, the value of the constant k is 32,000 units, and the equation of the intensity of the radio signal can be written as,

[tex]I=\dfrac{32,000 }{r^2}[/tex]

Further, the intensity of soundwave at a distance of 12 miles will be equal to,

[tex]I=\dfrac{32,000 }{r^2}\\\\I=\dfrac{32,000 }{12^2}\\\\I=\dfrac{32,000 }{144}\\\\I = 222.22\rm\ units[/tex]

Hence, the intensity of soundwave at a distance of 12 miles is 222.22 miles.

Learn more about Inversely proportional:

https://brainly.com/question/2548537

Answer:

x = 38 , y = 19

Step-by-step explanation:

using the tangent ratio in the right triangle and the exact valu

tan30° = [tex]\frac{1}{\sqrt{3} }[/tex] , then

tan30° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{y}{19\sqrt{3} }[/tex] = [tex]\frac{1}{\sqrt{3} }[/tex] ( cross- multiply )

[tex]\sqrt{3}[/tex] × y = 19[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

y = 19

--------------------------------------------------

using the cosine ratio in the right triangle and the exact value

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{19\sqrt{3} }{x}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

[tex]\sqrt{3}[/tex] × x = 38[tex]\sqrt{3}[/tex] ( divide both sides by [tex]\sqrt{3}[/tex] )

x = 38

Answer:

x=2.

Step-by-step explanation:

1) if the given points are (-3;5) and (7;5), then the required axis of symmetry is vertical. Then

2) the required axis intersects the section between (-3;5) and (7;5) in its midpoint;

3) the coordinates of the midpoint above are (2;5), then the required axis is:

x=2.

Answer:  25

Step-by-step explanation:

Let x be the amount of fish in Ju Long's aquarium.

We know that 24% of x is equal to 6.

We can now set up an equation.

24% * x = 6

24% as a decimal is 0.24"

0.24x = 6

We can divide both sides by 0.24:

x = 25

The solution is, 25 fish are in Ju long's aquarium.

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.  In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

here, we have,

given that,

Ju long has 6 guppies in his aquarium.

This is 24% of the fish in the aquarium.

Let x be the amount of fish in Ju Long's aquarium.

We know that 24% of x is equal to 6.

We can now set up an equation.

24% * x = 6

24% as a decimal is 0.24"

0.24x = 6

We can divide both sides by 0.24:

x = 25

Hence, The solution is, 25 fish are in Ju long's aquarium.

To learn more on equation click:

brainly.com/question/24169758

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Answer:

option A

Step-by-step explanation:

x² + 3x - 10 = 0

x² + 5x - 2x - 10 = 0

x(x + 5) -2(x + 5) = 0

(x + 5) (x - 2)

x = -5 x = 2

Answer:

3 times as great

Step-by-step explanation:

The most amount of water is 3/4 full

The least amount of water 1/4 full

To get from 1/4 to 3/4, you multiply by 3:

[tex]\frac{1}{4} * \frac{3}{1} = \frac{3}{4}[/tex]

(I made 3 into 3/1 to show how you multiply across easier)

Answer:

1. [tex]-12x^{5}y^{5}[/tex]

2. [tex]\frac{10b^{8} }{a^{3} }[/tex]

3. correct

4. [tex]a^{8}b^{10}c^{15}[/tex]

Step-by-step explanation:

When dividing a monomial by another monomial, we divide the coefficients and apply the quotient law of exponents, x m ÷ x n = x m – n to the variables. If both the monomials have negative coefficients, the negative signs cancel out and the answer so obtained will be having a positive coefficient only.

For example, the binomial 2x +4 can be multiplied by the monomial 4x so that (2x) (4x) equals 8x2 and 4·4x equals 16x, using the distributive property. Therefore, (2x +4) (4x) equals 8x2 + 16x.Mar 15, 2016

Use the Quotient Property. When we divide monomials with more than one variable, we write one fraction for each variable. Use fraction multiplication. Simplify and use the Quotient Property.

Answer

They would lose 14,080 a year so that would 14,080.

I hope that helped! :)

Answer:

$405

Step-by-step explanation:

3.75-1.50=2.25

2.25 x 600 = 1350

30 % of 1350 is 405 so it would equal $405

Answer:

Step-by-step explanation:

[tex]244^{2}-156^{2}=(200+44)^{2}-(200-44)^{2}[/tex]

[tex]=\left(200^{2}+2 \times 200 \times 44+44^{2}\right)-\left(200^{2}-2 \times 200 \times 44+44^{2}\right)[/tex]

[tex]=200^{2}+2 \times 200 \times 44+44^{2}-200^{2}+2 \times 200 \times 44-44^{2}[/tex]

[tex]=4 \times 200 \times 44[/tex]

[tex]=35200[/tex]

Answer:

244^2-156^2 hi this is in the form p^2-q^2=(p+q)(p-q) now, (244+156)(244-156) =(400)(88)=35,200answer.

Answer:

Step-by-step explanation:

Answer:

x ≥ 21

Hope it helps!

Answer:

3 and -14

Step-by-step explanation:

Find the factors of -42 and add them to see what they give:

1 × -42 = 42, -41

2 × -21 = 42, -19

3 × -14 = 42, -11

6 × -7 = 42, -1

The second to last is right so the numbers are 3 and -14

I am stuck on this too...
Maybe we can figure it out together

Answer:

(x - 6)^2 = 0 or (x + 2)^2 = 0

Take the square root of both sides:

x - 6 = 0 or (x + 2)^2 = 0

Add 6 to both sides:

x = 6 or (x + 2)^2 = 0

Take the square root of both sides:

x = 6 or x + 2 = 0

Subtract 2 from both sides:

Answer: x = 6 or x = -2

Step-by-step explanation: the answer is x= 6  or = -2

Answer:

The age of Jamal is 8 years.

And the age of his father is 32 years.

Step-by-step explanation:

=> let the age of Jamal be x and his father's age be y

=> so , A.T.Q ,

x+y = 40....i)

Find the value of y from here , that's y = 40-x .....

Now, After 4 years ,

=> 3(x+4) = (y+4)

=> 3x+12 = y+4

=> 3x+8 = y ...ii)

putting the value of y in equation ii)

=> 3x+8 = 40-x

=> 3x+x = 40-8

=> 4x = 32

=> x = 8

now ,

=> y = 40-x

=> y = 40-8

=> 32

Janae and Jerome each have either 3, or 4 or 5 marbles. Option C, D and E are correct.

Given that the number of marbles has:

Janae = m

Jerome  = m

Gwen = 4(m+2)

John = 8m+4

John has more marbles than Janae, Jerome, and Gwen combined, So this can be written as,

[tex]8m+4 \geq m + m + 4(m+2)[/tex]

[tex]8m+4\geq 2m + 4m+8[/tex]

[tex]8m+4 \geq 6m+8[/tex]

[tex]2m\geq 4[/tex]

[tex]m\geq 2[/tex]

It means that the value of m is greater than 2, it can be 3, 4 or 5.

Hence we can conclude that Janae and Jerome each have either 3, or 4 or 5 marbles. Options C, D and E are correct.

To know more about integers, follow the link given below.

https://brainly.com/question/1768255.

Answer:

B) x-5y=20

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=1/5(x-(-5))

y+5=1/5(x+5)

y=1/5x+5/5-5

y=1/5x+1-5

y=1/5x-4

1/5x-4=y

5(1/5x-4)=5y

5/5x-20=5y

x-20=5y

x-5y=20