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melomori [17]
3 years ago
8

What is $96 spent in 4 hours written as a unit rate in minutes​

Mathematics
1 answer:
lara31 [8.8K]3 years ago
3 0

Answer: The unit rate of $96 spent in 4 hours is, $24 per hour.

Step-by-step explanation: To find the unit rate, you will need to write the information as a ratio, $96/4 hours. If you divide 96 by 4 you will get 24. That means this person spends $24 every hour or $24 per hour or $24/1 hour.

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Carlos can print a document on an Apricot printer in 4.5 minutes. How long would it take him to print the same document on a sur
yawa3891 [41]

see the attached figure to better understand the problem

Step 1

<u>Find the number of pages printed  on an Apricot printer </u>

we know that

The speed of an Apricot printer is 8ppm

so

in 4.5 min

Carlos print

4.5*8=36 pages

step 2

<u>Find the time it takes Carlos to print the same amount of documents on a sure fire printer printer</u>

we know that

The speed on a sure fire printer is 12ppm

so

Divide the total of pages by the speed of the printer

36/12=3 minutes

therefore

<u>the answer is</u>

3 minutes

8 0
3 years ago
Find the value of b. Round your answer to the nearest tenth.
marissa [1.9K]

Answer:

Side CA = 7.8

Step-by-step explanation:

<u>Given:</u>

Acute angled \triangle ABC.

\angle B =40^\circ

AB = 10

BC = 12

We can use cosine rule here to find the side AC = b

<em>Formula for cosine rule: </em>

cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}

Where  

a is the side opposite to \angle A

b is the side opposite to \angle B

c is the side opposite to \angle C

cos 40 = \dfrac{12^{2}+10^{2}-b^{2}}{2\times 12\times 10}\\\Rightarrow cos 40 = \dfrac{144+100-b^{2}}{240}\\\Rightarrow 0.77 = \dfrac{244-b^{2}}{240}\\\Rightarrow 244-b^{2} = 0.77 \times 240\\\Rightarrow 244-b^{2} = 183.85\\\Rightarrow 244-183.85 = b^{2}\\\Rightarrow b^2 = 60.15\\\Rightarrow b = 7.76

To the nearest tenth <em>b = 7.8</em>

8 0
3 years ago
Enter values to write the function that matches the graph shown.
Bogdan [553]

Answer:

h(x) = (-2x + 4)(3x − 3 )

Step-by-step explanation:

4 0
3 years ago
If you have a line that goes through (-1, 7) and (8, -2), what would the equation of the line be in point-slope form?
Eddi Din [679]

Answer:

y-9 = -1/12(x-8)

Step-by-step explanation:

To write an equation of a line perpendicular to the graph of y = 12x-3 and passing through the point, we will follow the following steps.

The standard form of point-slope form of the equation of a line is  given as

y − y1 = m(x − x1),

m is the slope of the unknown line

(x1, y1) is a point on the line.

Step 1: We need to calculate the slope of the known line first,

Given y = 12x-3

from the equation, m = 12 on comparison.

Step 2: get the slope of the unknown line. since the line given is perpendicular to the line y = 12x - 3, the product of their slope will be -1 i.e Mm = -1

M = -1/m

M is the slope of the unknown line

M = -1/12

Step 3: We will substitute M = -1/12 and the point (8, 9) into the point-slope form of the equation of a line i.e y − y1 = M(x − x1),

M = -1/12, x1 = 8 and y1 = 9

y-9 = -1/12(x-8)

5 0
3 years ago
I really need help with this question i dont understand it
QveST [7]
The answer is D, I don’t know if you wanted me to explain it so I just put the answer!
6 0
3 years ago
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