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arlik [135]
3 years ago
14

Esther is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 12 inches × 12 1/3 in

ches. She needs to cut another rectangle that is 10 1/2 inches by 10 1/3 inches. How many total square inches of construction paper does Esther need for her project?

Mathematics
1 answer:
blagie [28]3 years ago
7 0

Answer:

(8 × 13 1/2) + (10 1/3 x 10 1/2) = 216.50 square inches

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PLEASE HELP WILL MARK BRAINLIEST!!(plz show work too)
trapecia [35]

\huge \bf༆ Answer ༄

Let the capacity of bus be x students

And van be y students, now ;

From the given statements we get two equations ~

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:2x + 10y = 260 \:   \:  \:  \: \:  (1)

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:13x + 5y = 670 \:  \:  \:  \:  \: (2)

multiply the equation (2) with 2 [ it won't change the values ]

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:2x + 10y = 260 \: \:  \:  \:   \:  \:  \:  \:  \: (1)

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:26x + 10y = 1340 \:  \:  \:  \:  \: (3)

Now, deduct equation (1) from equation (3)

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:26x + 10y - 2x - 10y = 1340 - 260

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:24x = 1080

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x = 1080 \div 24

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:x = 45

Therefore each bus can carry (x) = 45 students

Now, plug the value of x in equation (1) to find y ~

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:2x + 10y = 260

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:(2 \times 45) + 10y = 260

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:90 + 10y = 260

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:10y = 260 - 90

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:10y = 170

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:y = 170 \div 10

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:y = 17

Hence, each van can carry (y) = 17 students in total.

5 0
3 years ago
Evaluate: cos ω, if tan ω = - 4/3 and sin ω > 0
polet [3.4K]

Answer:

-3/5

Step-by-step explanation:

tan = opp/adj using pathagorean the hypt is 5

cos = 3/5

tan is negative in quad 2 and 4

sin is positive in quad 1 and 2

so because tan is negative and sine is positive the cosine is negative

-3/5

6 0
3 years ago
Does anyone know what to do
klasskru [66]

ok, we need to factor the expression

{y}^{5}  - 2 {y}^{4}  - cxy + 6x =  {y}^{4} (y - 2) - x(cy - 6)

since the expression divisible by y-2, then

cy - 6 = k(y - 2)

since 6=2k, then k=c=3

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3 years ago
Write a rule for the nth term of the sequence 37, 32, 27, 22, . . . .
Radda [10]

Answer:

a(n) = 37 - 5(n -1)

Step-by-step explanation:

Notice that each new term is obtained by subtracting 5 from the previous term.  Thus, this is an arithmetic sequence with common difference -5 and first term 37.

The explicit formula for the nth term is a(n) = a(1) - 5(n - 1) =  37 - 5(n -1)

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4 years ago
What is the ratio of 2 cups of water for 1 cup of rice
alexdok [17]

Answer:

2 to 1; 2:1

Step-by-step explanation:

There are two cups of water and one cup of rice. It's a two to one ratio.

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4 years ago
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