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3 years ago

12

The formula for glue says to add 55 mL of hardener to each container of resin. How much hardener should be added to 14 container

s of resin? Write your answer in liters.

1 answer:

Allisa [31]3 years ago

8 0

55 mL × 14 container = 770 mL
770 mL ÷ 1000 = 0.77 L
Remember: 1 L = 1000 mL
: L to mL = × 1000
: mL to L = ÷ 1000

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The sum of two numbers is 87. if three times the smaller number is subtracted from the larger number the result is seven. find t

Stolb23 [73]

$\left \{ {{a+b=87} \atop {a-3b=7}} \right.

$

a-3b=7
a=7+3b

a+b=87
(7+3b)+b=87
7+4b=87
4b=87-7
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a=7+3*20
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2 years ago

A field with an area of 2880 ft^2 has the shape of a rectangle, whose length is 12 ft larger than its width. Find the dimensions

tiny-mole [99]

ANSWER

w=48,l=60

EXPLANATION

Let the width of the field be, w , then,

the length of the field will be:

$l = 12 + w$

The area of a rectangle is

$Area = lw$

This implies that:

$w(12 + w) = 2880$

Expand

${w}^{2} + 12w = 2880$

${w}^{2} + 12w - 2880 = 0$

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This implies that,

$w = - 60 \: w = 48$

The dimensions are positive, the width is 48 and the length is 12+48=60

8 0

3 years ago

Reagan and Nathan are 40 miles apart on a bike trail when they start pedaling toward each other on their b bicycles. Reagan ride

irinina [24]

Answer:

They meet in 2.22 hours.

Step-by-step explanation:

We can find the time at which Reagan and Nathan meet by equaling the time as follows:

$v_{R} = \frac{x_{R}}{t}$

$x_{R} = v_{R}t$ (1)

$v_{N} = \frac{x_{N}}{t}$

$x_{N} = v_{N}t$ (2)

Where R is for Reagan and N for Nathan.

Knowing that:

$x_{R} + x_{N} = 40 mi$

By adding equations (1) and (2) we have:

$x_{R} + x_{N} = v_{R}t + v_{N}t$

$t = \frac{x_{R} + x_{N}}{|v_{R}| + |v_{N}|} = \frac{40 mi}{8 mi/h + 10 mi/h} = 2.22 h$

Therefore, they meet in 2.22 hours.

I hope it helps you!

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