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Studentka2010 [4]
3 years ago
6

A group of friends were working on a student film. They spent all their budget on props and costumes. They spent $693 on props,

and 45% of the total budget on costumes. What was the total budget for their student film?
Mathematics
1 answer:
sergeinik [125]3 years ago
5 0

Answer:

The total budget is $1260

Step-by-step explanation:

Given

Props = \$693

Costumes = 45\%

Required

Determine the total budget

Since all budgets was spent on Props and Costumes only.

We have that.

\%Props + \%Costumes = 100\%

\%Props + 45\%= 100\%

\%Props= 100\% -45\%

\%Props= 55\%

In other words, 55% was spent on Props

Let the total budget be x, we have:

55\% * x = \$693

Make x the subject

x = \$693/55\%

x = \$1260

Hence, the total budget is $1260

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6 pounds of apples and 3 pounds of oranges cost 24 dollars.5 pounds of apples and 4 pounds of oranges cost 23 dollars. Set up a
vitfil [10]

Answer:cost of each pound of apple= $3

And cost of each pound of orange =$2

Step-by-step explanation:

Step 1

Let cost of apples = x

And cost of Oranges =y

Let 6 pounds of apples and 3 pounds of oranges cost 24 dollars be represented as

6 x + 3y= 24----- equation 1

Also, Let 5 pounds of apples and 4 pounds of oranges cost 23 dollars be represented as

5x+ 4y= 23----- equation 2

Step 2

6 x + 3y= 24----- equation 1

5x+ 4y= 23----- equation 2

Using substitution method to solve the equation

6 x + 3y= 24

24-6x=3y

y= 24-6x/3 = 8-2x

Y= 8-2x

Substituting the value of y= 8-2x  into equation 2

5x+ 4( 8-2x)= 23

5x+ 32 -8x= 23

32-23= 8x-5x

9=3x

x=9/3

x=3

Putting the value of x= 3 in equation 1 and solving to find y

6 x + 3y= 24

6(3) +3y= 24

18+3y=24

3y= 24-18

3y=6

y=6/3= 2

Therefore the cost of each pound of apple= $3

And cost of each pound of orange =$2

8 0
3 years ago
Josh drew ∆ ABC with mm∠A = 40°, m∠B = 60° and m∠ C = 80°. Howard drew ∆ XYZ with m∠Y = 60° and m∠ Z = 80°. What can you say abo
aliya0001 [1]

Answer:

Both of these triangles are congruent.

Step-by-step explanation:

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7 0
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Step-by-step explanation: this is to easy

8 0
3 years ago
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Which situation can be modeled by the inequality 50 - 12x > 8?
eduard

Answer:

Option D.

Step-by-step explanation:

Borrowed $50 from your cousin. You pay him $8 and must pay him back within 12 weeks.

Let x be the amount paid on each week.

50-8\leq 12x

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You can buy bags of pretzels in packages of 12. You $50 to spend, but want to have at least $8 left.

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7 0
3 years ago
3x + 2y — z + 5w = 20<br> y = 2z – 3w<br> z= w+1<br> 2w =8​
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Answer:

this is tricky ngl

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