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docker41 [41]
3 years ago
13

Getting trained and licensed involved a one time cost of $474. Gas and insurance costing him $2 per kilometer. Jayden will get p

aid $350 plus $4 per kilometer that he drives. Solve using substitution
Mathematics
1 answer:
Igoryamba3 years ago
3 0

Answer:

y=474+2x

y=350+4x

Answer: x=62 y=598

Step-by-step explanation:

Place the two equations equal to each other.

350+4x=474+2x

Then Subtract 350 from 474 which gets you to 124.

4x=124+2x

Then subtract 2x from both sides.

Which make the equation look like this: 2x=124

Now divide 124 by 2.

so x=62.

Then you will need to plug in x in one of the equations to know what y is.

I plugged it into this one: y=474+2(62)

Now solve.

It should get you to the answer of 598.

So, overall x=62 while y=598.

You might be interested in
Boris invested his savings in two investment funds. The $12,000 that he invested in fund a returned a 6% profit the amount that
Sedbober [7]

Answer:

$4000

Step-by-step explanation:

Let B represent amount invested in account 'b'.  

We have been given that an amount of $12,000 that Boris invested in fund a returned a 6% profit.

So the profit earned from fund 'a' would be 12,000\times\frac{6}{100}=12,000(0.06).

We are also told that the amount that he invested in fund b returned at 2% profit. So the profit earned from fund 'b' would be B\times\frac{2}{100}=B(0.02)=0.02B.

Further, both funds together returned a 5%. We can represent this information as:

(12,000+B)\times\frac{5}{100}=0.05(12,000+B)

Now, we will equate profit earned from account 'a' and 'b' with profit earned from both accounts as:

12,000(0.06)+0.02B=0.05(12,000+B)

720+0.02B=600+0.05B

600+0.05B=720+0.02B

600-600+0.05B=720-600+0.02B

0.05B=120+0.02B

0.05B-0.02B=120+0.02B-0.02B

0.03B=120

\frac{0.03B}{0.03}=\frac{120}{0.03}

B=4000

Therefore, Jason invested $4000 in fund 'b'.

4 0
3 years ago
What is 12.92 divided by 3.4
Effectus [21]


12.92/3.4=3.8

Hope this helps.

5 0
3 years ago
For a given population of high school seniors, the Scholastic Aptitude Test (SAT) in mathematics has a mean score of 500 with a
tresset_1 [31]

Answer:

The probability that a randomly selected high school senior's score on mathematics part of SAT will be

(a) more than 675 is 0.0401

(b)between 450 and 675 is 0.6514

Step-by-step explanation:

Mean of Sat =\mu = 500

Standard deviation = \sigma = 100

We will use z score over here

 What is the probability that a randomly selected high school senior's score on mathe- matics part of SAT will be

(a) more than 675?

P(X>675)

Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}

Z=1.75

P(X>675)=1-P(X<675)=1-0.9599=0.0401

b)between 450 and 675?

P(450<X<675)

At x = 675

Z=\frac{x-\mu}{\sigma}\\Z=\frac{675-500}{100}

Z=1.75

At x = 450

Z=\frac{x-\mu}{\sigma}\\Z=\frac{450-500}{100}

Z=-0.5

P(450<X<675)=0.9599-0.3085=0.6514

Hence the probability that a randomly selected high school senior's score on mathematics part of SAT will be

(a) more than 675 is 0.0401

(b)between 450 and 675 is 0.6514

6 0
2 years ago
Is 70thounsand written in standard form or word form?explain
Burka [1]

Answer:

It is a mixture of the two.

Step-by-step explanation:

Standard form would be 70,000

Word form would be seventy thousand

3 0
3 years ago
Solve S = 2πrh for r
Elodia [21]
Divide both sides by 2<span>πh:-

r = S / 2</span><span>πh  Answer</span>
6 0
3 years ago
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