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MariettaO [177]
2 years ago
10

Find the equation of the line that has the same slope as y = 2x – 3 and goes through the point (–1, 3).

Mathematics
1 answer:
tankabanditka [31]2 years ago
6 0

Answer:

y=2x+5

Step-by-step explanation:

y=2x+b

3=2(-1)+b

3=-2+b

+2    +2

b=5

y=2x+5

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Kamila buys a notebook for $1.59 and pens for $0.29 each. She spends $5.07.
emmasim [6.3K]

Answer:

12 pens

Step-by-step explanation:

Let the variable that can be used to determine the number of pens that Kamila bought be represented by n.

Price of a notebook = $1.59

Price a pen = $0.29

Total amount spent = $5.07

But,

1.59 + 0.29 n = 5.07

So that,

0.29 n = 5.07 - 1.59

0.29 n  = 3.48

n = \frac{3.48}{0.29}

  = 12

Therefore, Kamila bought 12 pens.

6 0
2 years ago
Find the indicated limit, if it exists. <br><br> See file below.
White raven [17]

Answer:

c

Step-by-step explanation:

The limit exists because it's continuous since they equal each other

when x approaches zero.

Substitute both expressions with x=0 and both of them will equal 2, so the limit should be 2.

6 0
2 years ago
One 3.8 lb bag of fertilizer covers 1000 square feet each bag cost $9.95 the square feet of the yard is 1307.25 ft squared how m
zaharov [31]

Answer:

Exactly 1.30725 bags are needed to cover the garden.

Step-by-step explanation:

We have a yard with a surface of 1307.25 square feet.

We know that one bag of fertilizer covers 1000 square feet.

We want to know how many bags are needed to cover the garden. We can calculate the number of bags as:

B=S\cdot b=1307.25\;\text{sq.ft.}\cdot \dfrac{1\,\text{bag}}{1000\,\text{sq.ft.}}=1.30725\,\text{bags}

B: number of bags needed for the yard.

S: surface of the yard.

b: number of bags per square foot.

4 0
3 years ago
Two consecutive integers have a sum of 513. find the smaller of these two number
nexus9112 [7]
513/2=256.5
which means 256 and 257 are the answers
5 0
3 years ago
Read 2 more answers
How many solutions does 9(z+8)=-9z-72 have
zloy xaker [14]

Answer:

1 solution.

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

9(z + 8) = -9z - 72

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute 9:                              9x + 72 = -9z - 72
  2. Add 9z to both sides:               18z + 72 = -72
  3. Subtract 72 on both sides:       18z = -144
  4. Divide 18 on both sides:           z = -8

Here we see that we will get only 1 solution for <em>z</em>.

4 0
2 years ago
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