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slavikrds [6]
3 years ago
6

Express each ratio as a unit rate.round to the bearest tenth,if necessary. 2 note books for $0.60

Mathematics
2 answers:
Vladimir79 [104]3 years ago
8 0

Answer:

(B) $0.30 per notebook

Step-by-step explanation:

FrozenT [24]3 years ago
6 0

Option B

2 notebooks for $ 0.60 expressed as unit rate is $ 0.30 per notebook

<h3><u>Solution:</u></h3>

We have to express ratio as unit rate

Given that, 2 notebooks for $ 0.60

Number of notebooks = 2

Cost of 2 notebooks = $ 0.60

So we have to find cost of 1 notebook

\begin{array}{l}{\text { cost of } 1 \text { notebook }=\frac{\text { cost of } 2 \text { notebook }}{2}} \\\\ {\text { cost of } 1 \text { notebook }=\frac{0.60}{2}=0.30}\end{array}

So unit rate = cost of 1 notebook = $ 0.30

So 2 notebooks for $ 0.60 as unit rate is $ 0.30 per notebook

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Noah and his friends are going to an amusement park. The total cost of admission for 8 students is $100, and all students share
maria [59]

Answer:

Yes, Noah did bring enough money.

Step-by-step explanation:

$100/8 student is $12.5, so each students admission costs $12.5 and Noah brough $13 so he will have 50 cents left after paying his entry fee

8 0
3 years ago
If 11250 = m(600) + b and 7650 = m(400) + b, how do I find the values of b and m? I forgot how to compare when I have two differ
Lelu [443]

Answer:

b=450 and m=18

Step-by-step explanation:

This exercise is an example of <em>linear system equations</em>. A <em>system of linear equations</em> is a set of (linear) equations that have more than one unknown. The unknowns appear in several of the equations, but not necessarily in all of them. What these equations do is relate the unknowns to each other.

The easy way to solve this problem is by using the<em> reduction method</em>.The <em>reduction method</em> consists of operating between the equations, such as adding or subtracting both equations, so that one of the unknowns disappears. Thus, we obtain an equation with a single unknown.

Ordering the equations as a system equations.

\left \{ {{600m+b=11250} \atop {400m+b=7650}} \right.

Using the reduction method, let's substract the second equation with the first equation, in order to clear m.

600m + b = 11250

<u>-400m -  b = -7650</u>

200m       = 3600    -------->  m = 3600/200 -----> m = 18

We can substitute the value of m in any of the two equations to obtain the unknow b.

Let's substitute the value of m in the second equation.

400(18) + b = 7650

7200 + b = 7650 -----> b = 7650 - 7200 -------> b = 450

We can check this values in both equations.

600m + b = 11250 -----> 600(18) + 450 = 11250

400m + b = 7650 ----->  400(18) + 450 = 7650

Satisfying the result of both equations.

6 0
3 years ago
Leah has sold magazine subscriptions worth $330 for a school fundraiser. If she reaches a total of $500, she wins a gift certifi
insens350 [35]
You can solve by subtracting: 500-330

but I like to use mental math and think this way:
she has 330
70 more will give her 400
and 100 more will give her 500
100 + 70 is 170.
7 0
3 years ago
What is the distance between (12.-7) and (-3, -7)? ​
vitfil [10]

Step-by-step explanation:

distance between (12.-7) and (-3, -7)

\sqrt{ {(12  +  3)}^{2} +  {0}^{2}  }

=12+3

=15 units

6 0
3 years ago
To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a cardboard square to line up the top
tankabanditka [31]

Answer:

Height of the silo = 18 feet.

Step-by-step explanation:

From the figure attached BC is the length of the silo and the height of the farmer is 5 ft.

Farmer is standing at 8 ft distance from the silo.

From triangle AEC,

tan(∠CAE) = \frac{CE}{AE}

                 = \frac{5}{8}

m(∠CAE) = tan^{-1}(\frac{5}{8})

               = 32°

m∠BAE = 90° - 32° = 58°

From the triangle ABE,

tan58° = \frac{BE}{AE}

BE = 8tan58°

BE = 12.8 ft

Total height of the silo = BE + EC

                                         = 12.8 + 5

                                         = 17.8

                                         ≈ 18 ft          

Therefore, total height of the silo is 18 ft.

3 0
3 years ago
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