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julia-pushkina [17]
4 years ago
13

Solving system of equations with substitution.

Mathematics
1 answer:
JulijaS [17]4 years ago
6 0

Answer:

Hope it helps!

Step-by-step explanation:

Sub y=5x into y=2x+3

so

5x=2x+3

3x=3

x=1

plug x=1 into y=5x

y=5

Checking work

Plug (1,5) into y=2x+3

5=2(1)+3

5=5

Plug (1,5) into y=5x

5=5(1)

5=5

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7. y=15
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Hope this helps!
7 0
3 years ago
Read 2 more answers
Sam has $2.25 in quarters and dimes, and the total number of coins is 12. How many quarters and how many dimes?
a_sh-v [17]
N₁*$0.10 + n₂*$0.25 = $2.25

n₁ + n₂ = 12

-----------

This means that:

n₁ = 12 - n₂

And:

(12 - n₂)*$0.10 + n₂*$0.25 = $2.25

12*$0.10 - n₂*$0.10 + n₂*$0.25 = $2.25

$1.20 + n₂*$0.05*(5-2) = $2.25

$1.20 + n₂*$0.05*3 = $2.25

$1.20 + n₂*$0.15 = $2.25

n₂*$0.15 = $2.25 - $1.20

n₂*$0.15 = $1.05

n₂ = ($1.05)/($0.15)

n₂ = 7

If n₂ = 7:

n₁ + 7 = 12

Therefore, n₁ = 5.

---------

Answer:

5 dimes and 7 quarters.
8 0
3 years ago
Read 2 more answers
Which lines are parallel to 6x + 3y = 2 (Select all that apply)
BabaBlast [244]

eu não sei, desculpe companheiro, não me denuncie

6 0
3 years ago
The scheduled arrival time for a daily flight from Boston to New York is 9:35 am. Historical data show that the arrival time fol
Lady_Fox [76]

Answer:

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The mean is:

M = \frac{a+b}{2}

The standard deviation is:

S = \sqrt{\frac{(b-a)^{2}}{12}}

Arrival time of 9:18 am and a late arrival time of 9:41 am.

9:41 is 23 minutes from 9:18. So the time is uniformily distributed between 0 and 23 minutes, so a = 0, b = 23.

Mean:

M = \frac{a+b}{2} = \frac{0+23}{2} = 11.5

Standard deviation:

S = \sqrt{\frac{(b-a)^{2}}{12}} = \sqrt{\frac{(23 - 0)^{2}}{12}} = 6.64

The mean is 11.5 minutes and the standard deviation is of 6.64 minutes

8 0
3 years ago
A recipe calls for 3 times as many chocolate chips as butterscotch chips. If there are 25 oz of chocolate chips, how many oz do
Bingel [31]

The amount, in oz of butterscotch chips needed by proportional reasoning is; 75oz.

<h3>What is the amount of butterscotch chips needed by proportional reasoning?</h3>

It follows from the task content that the the amount of butterscotch chips needed can be determined by means of the proportion premise declared in which case;

  • The recipe requires 3 times as many chocolate chips as butterscotch chips.

Hence, when 25oz of chocolate chips is used, the amount of butterscotch needed is 3 times 25 and hence, = 3 × 25 = 75oz.

Read more on proportion;

brainly.com/question/1496357

#SPJ1

4 0
2 years ago
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