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Delvig [45]
3 years ago
14

Mabel needs to order 8,742 binder clips for an upcoming conference. If the binder clips come in boxes of 47, how many boxes shou

ld Mabel order?
Mathematics
1 answer:
ryzh [129]3 years ago
3 0
186 boxes. One hundred
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One positive number is 5 less than twice a second number, and their product is 117. Find the two numbers.
FrozenT [24]

x,y - the numbers

one positive number is 5 less than twice a second number

(1)    x - 5 = 2y

their product is 117

(2)    xy = 117

(1)     x - 5 = 2y     <em>add 5 to both sides</em>

x = 2y + 5   <em>substitute it to (2)</em>

(2y + 5)y = 117     <em>use distributive property</em>

(2y)(y) + (5)(y) = 117

2y² + 5y = 117      <em>subtract 117 from both sides</em>

2y² + 5y - 117 = 0

2y² + 18y - 13y - 117 = 0

2y(y + 9) - 13(y + 9) = 0

(y + 9)(2y - 13) = 0 ↔ y + 9 = 0 ∨ 2y - 13 = 0

y + 9 = 0    <em>subtract 9 from both sides</em>

y = -9

2y - 13 = 0     <em>add 13 to both sides</em>

2y = 13     <em>divide both sides by 2</em>

y = 6.5

<em>substitute the values of y to (1)</em>

x = 2(-9) + 5 = -18 + 5 = -13 < 0

x = 2(6.5) + 5 = 13 + 5 = 18

<h3>Answer: x = 18 and y = 6.5</h3>
3 0
3 years ago
Write and expression so that the quotient of a decimal and a whole number is 0.04
myrzilka [38]

Answer:

0.4 divided by 10

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
a rectangle has a length of 8m and a width of 4.5m. A parallelogram has a length of 6 m. The area of the parallelogram is twice
Tcecarenko [31]

Answer:

12m

Step-by-step explanation:

work out the area of the rectangle then times it by 2 because the parallelogram is twice the area of the rectangle. 8 × 4.5m = 36m². 36 ×2 = 72cm². Now you do 72 ÷ 6 = 12 . the answer is 12m.

6 0
3 years ago
Find the surface area of figure. Round answer to nearest hundredth if necessary. Thank you!!
Crazy boy [7]

Answer: Surface area = 29.32 inches²

Step-by-step explanation:

The surface area is the sum of areas of the faces. There are two triangular faces and three rectangular faces.

The formula for determining the area of a triangle is expressed as

Area = 1/2 × base × height

Base = 2 inches

Height = 2 inches

Area = 1/2 × 2 × 2 = 2 inches²

Area of the 2 triangular faces

= 2 × 2 = 4 inches²

The area of the two equal rectangles is

Area = 2 × 2 × 4 = 16 inches²

To determine the width, w of the rectangular base, we would apply Pythagoras theorem.

Hypotenuse ² = opposite side² + adjacent side²

w² = 2² + 2²

w² = 4 + 4 = 8

w = √8 = 2.83

Area of the rectangular base is

2.83 × 4 = 11.32 inches²

Surface area = 4 + 16 + 11.32 = 31.32 inches²

5 0
3 years ago
How do i help people by answering there question
Fudgin [204]
What do you mean by this?
3 0
3 years ago
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