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natima [27]
3 years ago
7

Alicia bought a notebook and several erasers at the student store. The graph shows the relationship between the total cost of he

r items and the number of erasers she purchased.
What is the cost of each eraser?

a
$1.00
b
$2.00
c
$1.50
d
$3.50

Mathematics
2 answers:
melomori [17]3 years ago
6 0
<h3><u>Answer:</u></h3>

Option: C is the correct answer.

$ 1.50 is the cost of 1 eraser.

<h3><u>Step-by-step explanation:</u></h3>

Alicia bought a notebook and several erasers at the student store.

Let the cost of 1 eraser=$ x.

Now from the scatter plot we could see that when Alicia did not bought any eraser then her total cost =$ 2.

That means cost of a notebook=$ 2.

Now when she buys a notebook and two eraser then she pays=$ 5.

i.e.

Total cost=cost of notebook+ 2× cost of 1 eraser

Total cost=cost of notebook+2×x

i.e.

5=2+2x

⇒ 2x=5-2

⇒ 2x=3

⇒ x=1.5

Hence, cost of one eraser is:

$ 1.50

bija089 [108]3 years ago
4 0

Answer:

(B) $1.50

Step-by-step explanation:

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Liono4ka [1.6K]

Question is using standard formula ax+by=c to find the slope by converting into slope intercept form y=mx+b

so we also need to convert ax+by=c into y=mx+b as shown below:

ax+by=c

ax+by-ax=c-ax

by=-ax+c

divide both sides by

y=-\frac{a}{b}x+\frac{c}{b}

Now compare it with y=mx+b, we get

m=-\frac{a}{b}

So using values of a and b, we can find the slope


compare given equation -5x+2y=15 with ax+by=c, we get:

a=-5, b=2

Now plug both into above formula

m=-\frac{a}{b}

m=-\frac{-5}{2}

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Now matching these details with given choices we find that THIRD choice is the final answer.

7 0
3 years ago
Benny Brought $5 dozen Eggs from the Grocery store to bake some cakes how many did benny buy
user100 [1]

Answer:

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Step-by-step explanation:

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5 0
3 years ago
Karen karlin bought some large frames for $15 each and some small frames for $8 each at a closeout sale. if she bought 22 frames
BaLLatris [955]

small frames ($8): s

large frames ($15): L


Cost:        8s + 15L = 239   ⇒ 1(8s + 15L = 239)   ⇒    8s + 15L = 239  

Quantity:   s  +   L   = 22   ⇒  -8( s  +   L   = 22)   ⇒  <u> -8s   -8 L  = -176 </u>

                                                                                               7L  = 63

                                                                                                  L = 9

Quantity:   s + L = 22 ⇒   s + (9) = 22   ⇒   s = 13

Answer: 13 small frames, 9 Large frames

7 0
3 years ago
Read 2 more answers
The cost price of bicycle a is $620. The shopkeeper sells it and makes a profit of
Romashka [77]

Answer:

$341 the selling price

Step-by-step explanation:

Cost $620

$620-45% ($279 profit)

$620-$279=$341 should be the selling price

6 0
2 years ago
One-fifth of the sum of the numerator and the denominator of a particular fraction is8. If the numerator is subtracted from 22,
Alex_Xolod [135]

Answer:

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Step-by-step explanation:

Let the fraction be x/y. This means that the numerator is x and the denominator is y.

One-fifth of the sum of the numerator and the denominator of a particular fraction is 8. This means that

1/5 (x+y) = 8

Cross multiplying with 5,

x+y = 5×8 = 40 - - - - - - - -1

If the numerator is subtracted from 22, the original fraction becomes 1/3. This means that

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Cross multiplying with y and 3,

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Substituting y = 66-3x into equation 1, it becomes

x + 66 - 3x = 40

x -3x = 40-66

-2x = -26

x = 26/2 = 13

y = 40 - x = 40 - 13

= 27

The original fraction is 13/27

8 0
3 years ago
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