The population of the United States is approximately 320,000,000 people. Which is a
reasonable estimate for the amount of food consumed by the population of the United
States per day?

Answer:

Step-by-step explanation:

He gave $75 dollars to his mother

50+75=$125

$125 x 60% = 75

Answer:

The number of 7th graders exceed that of the number of 5th and 6th graders taken together by 5.88%.

Step-by-step explanation:

I am going to say that:

x is the proportion of 5th graders.

y is the proportion of 6th graders.

z is the proportion of 7th graders.

The number of 6th graders in RSM summer camp to that of 7th graders was 4 to 11

This means that:

\frac{y}{z} = \frac{4}{11}

z

y

=

11

4

So

11y = 4z11y=4z

y = \frac{4z}{11}y=

11

4z

The number of 5th graders to that of the 6th graders was 13 to 9.

This means that:

\frac{x}{y} = \frac{13}{9}

y

x

=

9

13

9x = 13y9x=13y

x = \frac{13y}{9}x=

9

13y

All of them is 100%

This means that:

x + y + z = 1x+y+z=1

We need to find z.

y = \frac{4z}{11}y=

11

4z

x = \frac{13y}{9} = \frac{13*4z}{9*11} = \frac{52z}{99}x=

9

13y

=

9∗11

13∗4z

=

99

52z

Then

x + y + z = 1x+y+z=1

\frac{52z}{99} + \frac{4z}{11} + z = 1

99

52z

+

11

4z

+z=1

The lcm(least common multiple) between 11 and 99 is 99. Then

\frac{52z + 9*4z + 99z}{99} = 1

99

52z+9∗4z+99z

=1

187z = 99187z=99

z = \frac{99}{187}z=

187

99

z = 0.5294z=0.5294

By what percent did the number of 7th graders exceed that of the number of 5th and 6th graders taken together ?

z(7th graders) is 52.94%.

x + y(5th and 6th graders) is 100 - 52.94 = 47.06%

52.94 - 47.06 = 5.88

The number of 7th graders exceed that of the number of 5th and 6th graders taken together by 5.88%.

Answer:

3 1/3 feet

Step-by-step explanation:

Ok so, he digs 1 1/3 feet every hour. And we're trying to find out how much he digs in 2.5 hours. We can simply multiply 1 1/3*2.5 giving us 3 1/3 feet.

Hope this helps :)

Answer:

4.65

Step-by-step explanation:

13.78 - m = 9.13

13.78 - 9.13 - m = 0 (subtracting 9.13 from both sides)

m = 13.78 - 9.13  (adding m to both sides)

m = 4.65

Answer:

m=22.91

Step-by-step explanation:

13.78+9.13=22.91

Answer:

7 ÷ 1/4 = 7 × 4

2/3 ÷ 4/5 = 2/3 × 5/4

4/5 ÷ 3/2 = 4/5 × 2/3

1/4 ÷ 1/7 = 1/4 × 7

Answer:

Green is with C, Blue is with A, Orange is with D, Purple is with B

Step-by-step explanation:

Hi!

So, it's been a while since I've done math like this, so the way I solved this was simply by doing the equations themselves and seeing which one matches. I'm sure there is an algebraic way to find which ones match, but this is all I know how to do :)

(By the way...I got the decimals by doing the fraction itself. 1 divided by 4(1/4th)=.25, as an example)

1(left)-7/1/4 is the same as 7/ .25. This is 28.

2(left) 2/3/ 4/5 is the same as .6666666/ .8. This is .83333repeating

3(left) 4/5 / 3/2 is the same as .8/1.5. This is .53333repeating

4(left) 1/4 / 1/7 is the same as .25/.143. This is 1.74(approx.)

1(right) 2/3 x 5/4 is the same as .66666 x 1.25 This is .8333 approx.

2(right) 1/4 x 7 is the same as .25*7. This is 1.75

3(right) 7*4 is 28.

4(right) 4/5 x 2/3 is the same as .8x.66666. This is .533

Now, we can match.

Green is with C.

Blue is with A

Orange is with D

Purple is with B

Hope I could help!

Answer:

28 ft

Step-by-step explanation:

since we're trying to find the distance between them you have to add 12 and 16 to get 28 and it tells how many feet the distance is between the bottom of the pool and the diving board

Answer:

28 feet

Step-by-step explanation:

To find the distance between them, add 12 and 16 to get 28, it tells how many feet the distance is between the bottom of the pool and the diving board.

Answer:

The scale of the map is 20cmx30cm

The dimensions of the garden is 6cm for width and 20 cm for the length

Step-by-step explanation:

Answer: the scale of the thing is  20cm x30cm

Answer:

B. x=45/4

Step-by-step explanation:

Answer:

B. 0.7

Step-by-step explanation:

3.5/5=0.7

Answer:

105 in^3

Step-by-step explanation:

V=whl

Volume = width x height x length

Volume = 3 x 5 x 7

Volume = 15 x 7

Volume = 105

Answer:

[tex]{ \rm{ {(7}^{1}) ^{9 } = 7 {}^{5} \times {7}^{5} : \: { \tt{ \red{false}}} }} \\{ \boxed{ \mathfrak{correction \dashrightarrow \: ( {7}^{1}) {}^{9} = {7}^{9} }}} \\ \\ { \rm{ \frac{ {y}^{13} }{ {( {y}^{2}) }^{6} } = {y}^{ - 10} \times {y}^{9} : \:{ \tt { \red{false}}}}} \\ { \boxed{ \mathfrak{correction \: \dashrightarrow \: { \rm{{y}^{1} }}}}} \\ \\ { \rm{ {b}^{4} \times {b}^{ - 6} = \frac{ {b}^{1} \times {b}^{3} }{ {b}^{6} } }} \: : \: { \tt{ \green{true}}}[/tex]

Answer:

107 patients

Step-by-step explanation:

This year Dr. McGee had 1007 patients act like this is 100%. 10% of 1007 is 107 and since there was a 90% increase 107 is the answer

Answer:

i dont know

Step-by-step explanation:

Answer:

76-24= 52

Explanation:

Answer:

B 5*2*8

Step-by-step explanation:

To calculate the volume multiply the 3 dimensions together. you don't use the diagonal.

Answer:

Answer and

Step-by-step explanation:

equation are attached

Step by step solution :Step  1  :Equation at the end of step  1  : (((3•(x2))•(y4))3) 4•—————————————————— ((2x3•(y5))4) Step  2  :Equation at the end of step  2  : ((3x2 • (y4))3) 4 • ——————————————— 24x12y20 Step  3  : 33x6y12 Simplify ———————— 24x12y20 Dividing exponential expressions :

3.1    x6 divided by x12 = x(6 - 12) = x(-6) = 1/x6

Dividing exponential expressions :

3.2    y12 divided by y20 = y(12 - 20) = y(-8) = 1/y8

Equation at the end of step  3  : 27 4 • —————— 16x6y8 Step  4  :Final result : 27 ————— 4x6y8

The simplified expression is [tex]27/(16x^6y^8).[/tex]

We have,

To simplify the expression [tex]4(3x^2y^4)^3 / (2x^3y^5)^4,[/tex] we can simplify each part separately and then divide.

Let's simplify the numerator first:

[tex](3x^2y^4)^3 = 3^3 * (x^2)^3 * (y^4)^3 = 27x^6y^{12}[/tex]

Now, let's simplify the denominator:

[tex](2x^3y^5)^4 = 2^4 * (x^3)^4 * (y^5)^4 = 16x^{12}y^{20}[/tex]

Now we can divide the numerator by the denominator:

[tex](27x^6y^{12}) / (16x^{12}y^{20})[/tex]

To divide the variables with the same base, we subtract their exponents:

[tex]27/16 * x^{6-12} * y^{12-20}[/tex]

Simplifying further:

[tex]27/16 * x^{-6} * y^{-8}[/tex]

To make the exponents positive, we can move the variables with negative exponents to the denominator:

[tex]27/(16x^6y^8)[/tex]

Therefore,

The simplified expression is [tex]27/(16x^6y^8).[/tex]

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

Answer: A. 8×100+8×(1100)

Step-by-step explanation:

before removing the 0 from 1000, we got to add 100 and 1,000. then we remove the 0.

hope this helped.

Answer:

B

Step-by-step explanation:

The distance if you look at the graph has started on 20 so that will be it when they drive

Answer: 1

Step-by-step explanation: 1 is the greatest common factor of 70 and 33.

First, let's do the numerator! 4.8 - 0.24 = 4.56. Now, let's simplify the denominator. 0.2 * 0.6 = 0.12

4.56 / 0.12 = 38

Hope this helps :)

Answer: 38 is the correct answer

Step-by-step explanation:

Answer:

Hi there!!

Since this is a positive slope, so we can use 3/1=3

The slope is 3

Answer:

375 - 243.75 = 131.25

Step-by-step explanation:

The length of fabric still needed is 131.25 m.

Hope this helped!

Answer:

24 liters

Step-by-step explanation:

We know that j = 4d+4, d represents the number of days Wanda spent making jam, and j represents the amount of jam jarred.

Plug in d

j = 4(5)+4

j = 20+4

j = 24