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3 years ago

Find an equivalent ratio where the total number of students is 250

Mathematics

1 answer:

nadezda [96]3 years ago

4 0

Answer: 125 boys and 125 girls = 1:1

Step-by-step explanation:

An equivalent ratio means there will be an equal number of boys and girls.

Since there are 250 students,

Boys = 250/2 = 125

Girls = 250/2 = 125

The ratio of boys to girls = 125 : 125

1 : 1 when simplified

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A grocery store manager notices that this month her store sold a total of 623 gallons of ice cream, which represents a decrease

kotykmax [81]

Answer:

- The store sold 733 gallons of ice cream last month.

- The store sold 748 pounds of broccoli last month.

Step-by-step explanation:

Given

$Ice\ Cream = 623$

$\%\ Ice\ Cream = 15\%$

$Broccoli = 912$

$\%\ Broccoli = 22\%$

Solving (a): Gallons of Ice Cream

Let Gallons sold last month be G1; Gallons sold this month be G2;

The relationship between both is:

$G2 =G1 - 15\% * G1$

Substitute 623 for G2

$623 =G1 - 15\% * G1$

$623 =G1 - 0.15 * G1$

$623 =G1 - 0.15 G1$

$623 =0.85 G1$

Divide through by 0.85

$G1 = 623/0.85$

$G1 = 732.941176471$

$G1 = 733$

Solving (b): Pounds of Broccoli

Let Pounds sold last month be P1; Pounds sold this month be P2;

The relationship between both is:

$P2 =P1 + 22\% * P1$

Substitute 912 for P2

$912 =P1 + 22\% * P1$

$912 =P1 + 0.22 * P1$

$912 =P1 + 0.22 P1$

$912 =1.22 P1$

Divide through by 1.22

$P1 = 912/1.22$

$P1 = 747.540983607$

$P1 = 748$

6 0

3 years ago

Gavin is working to get his private pilot certificate he must fly minimum of 2020 hours with his plane instructor before he can

irinina [24]

Answer: He needs a minimum of 2011.25 hours

Step-by-step explanation:

In order for Gavin to get his private pilot certificate he must fly solo.

He must fly a minimum of 2020 hours with his plane instructor before he can fly solo.

He has already flown 8 3/4 hours with his instructor. This is express as 8hours + (3/4 × 1) = 8.75 hours

To determine how many more flying hours that he needs before he can fly solo, we will subtract the number of hours that he had flown from the the minimum of 2020 hours . it becomes

2020 - 8.75 = 2011.25.

He needs a minimum of 2011.25 hours

5 0

3 years ago

Deondra is 1.35 meters tall. At 10 a.m., she measures the length of a tree's shadow to

pashok25 [27]

Answer:

If the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be : 11.74m

Given:

Denora height=1.35 meters

Length =35.25 meters

Width =31.2 meters

Height of the tree=x

Proportion:

1.35 : 35.25 :: x : 31.2

Now let's determine the height of the tree:

35.25 - 31.2 / 1.35 = 35.25 / x

4.05 / 1.35 = 35.25 / x

Cross multiply

4.05x = 35.25 × 1.35

4.05x = 47.58

Divide both sides

x = 47.58 / 4.05

x = 11.74

In conclusion, if the length of a tree's shadow is 35.25 meters. The height of the tree to the nearest hundredth of a meter will be: 11.74m

6 0

1 year ago

I need help Plzzzzzzzzzzz.

Furkat [3]

Answer: 1st one is no solution

and then i cant see the question for the 2nd one

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

58.April would like to invest $200 in the bank for one year. Three banks all have a nominal APR of 1.5%, but compound the intere

nasty-shy [4]

Answer:

$203.00

Step-by-step explanation:

Since the bank in question compounds interest just once, and this is a one year investment, it can be treated as a simple rate interest problem. Therefore, the total balance after one year (B) is given by the following formula:

$B= 200*(1+i)\\B= 200*(1+0.015)\\\\B= 203$

April's balance would be $203.00 after one year.

7 0

3 years ago