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GenaCL600 [577]
3 years ago
9

1. A costume designer made 10 costumes that each used 5.8 yards of fabric. If she had 238.2 yards of fabric to start with, about

how much fabric does the costume designer have left? Write an equation and estimate the amount of fabric left.
2. A costume went to a garden shop and bought some potting soil for $12.50 and 6 shrubs. If the total bill was $71.00, how much did each shrub cost if they all cost the same?
Mathematics
1 answer:
Zinaida [17]3 years ago
4 0
 <span>You only need an estimate? Great. Think of the necessary material as 6 yards, so ten costumes would take 60 yards. Then think of the fabric on hand as 240 yards, so taking 60 yards away from that would leave [an estimated] 180 yards of fabric. 

For an equation, use: 

F" = F' - 5.8 C 

Where F' is the initial fabric stock, F" is the remaining fabric, and C is the count of costumes. 

In exact numbers, the formula works out to: 

F" = 238.2 - (5.8 * 10) 

F" = 180.2 

The estimate was very close. 

Good luck.</span>
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You spent $145 purchasing 3 student tickets and 7 adult tickets. Adult tickets cost $5 more than a student ticket. Find the cost
vova2212 [387]

Answer:

$11 and $16

Step-by-step explanation:

let x be the cost of a student ticket then an adult ticket is x + 5 , then

3x + 7(x + 5) = 145 , that is

3x + 7x + 35 = 145

10x + 35 = 145 ( subtract 35 from both sides )

10x = 110 ( divide both sides by 10 )

x = 11

Student ticket costs $11 and adult ticket = x + 5 = 11 + 5 = $16

3 0
2 years ago
The sum of the areas of two circles is 80 pi
katovenus [111]
The area of a circle is A = πr^2. We let A1 And A2 the areas of the circles and r1 and r2 the radius of each, respectivley.

A1 + A2 = 80π
Substitute the formula for the area,
π(r1)^2 + π (r2)^2 = 80π

From the statement, we know that r2=2(r1).

<span>π(r1)^2 + π (2 x r1)^2 = 80π
</span>We can cancel π, we will have

5 x (r1)^2 = 80
Thus,

r1 = 4 and r2 = 8
5 0
3 years ago
Find the area of each figure
jeka94

Answer:

50.74 yds^2

Step-by-step explanation:

7 0
3 years ago
I would appreciate it if someone could help answer this problem:)
miskamm [114]

Answer:

Sum of Interior Angles = 900°

One Interior Angle = 128.57°

Step-by-step explanation:

We know that the figure is a Heptagon (a 7 sided polygon), therefore;

→ As by the formula of (n - 2) * 180° we can find the sum of the interior angles;

=> (n - 2) * 180 = Sum of Interior Angles

=> (7 - 2) * 180 = Sum of Interior Angles

=> 5 * 180 = Sum of Interior Angles

=> <u>900° = Sum of Interior Angles</u>

Now that we know the sum of interior angles,

→ We can find 1 interior angle by dividing the sum by the number of sides in the polygon.

=> Sum of Interior Angles / n = One Interior Angle

=> 900 / 7 = One Interior Angle

=> <u>128.57° = One Interior Angle</u>

Hope this helps!

7 0
3 years ago
Read 2 more answers
Help with question 5,9, and 13. It would be a big help.
solniwko [45]
I am using "x" but alphabet letter does not matter.

#9

Words: x is greater than or equal to -4
Algebra: x ≥ -4
Possible solutions: 0,1,2

#13

Words: x is greater than 0
Algebra: x > 0
Possible solutions: 1,2,3
3 0
3 years ago
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