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3 years ago

Please help. thank you :)

Mathematics

1 answer:

Zina [86]3 years ago

5 0

Answer:A

Step-by-step explanation: your answer is A

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13. For what value of b would the following system of equations have an infinite number of solutions?

tiny-mole [99]

Answer:

b=2

Step-by-step explanation:

we have

9x+12y=21 -----> equation A

6x+8y=7b ----> equation B

we know that

If the system of equations have an infinite number of solutions then the equation A must be equal to the equation B

Multiply equation B by 1.5 both sides

1.5*[6x+8y[=7b*1.5

9x+12y=10.5b ----> equation C

Compare equation A and equation C

9x+12y=21 -----> equation A

9x+12y=10.5b ----> equation C

For the equations to be equal it must be fulfilled that

21=10.5b

solve for b

b=21/10.5

b=2

5 0

3 years ago

Together, a house and the lot it is on costs $40,000. If the house costs seven times as much as the lot, how much does the lot c

padilas [110]

The lot costs 5000 dollars.

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

The cost of a House and the lot = $40,000.

Let us assume the cost of lot as 'x'

Given that, The cost of the house is 7 times as much as the lot.

Therefore, The cost of the house= 7x

The cost of both the house and the lot= x + 7x

$40,000 = x + 7x

40,000 = 8x

x = 40,000/8

x = 5,000

The lot costs $5000.

4 0

3 years ago

Jenny has saved $3,800 over the last 12 months. She saved either $250 or $350 a month. During the 12 month period, how many time

Nana76 [90]

Answer:

Jenny save 4 times $\$ 250$ for the month

Step-by-step explanation:

Given Jenny has saved $\$3,800$ over the last 12 months.

She saved either $\$250$ or $\$350$ a month.

Let the number of months to save $\$250$ be x

Let the number of months to save $\$350$ be y

Total period is 12 month.

$x+y=12 \ \ \ \ equation\ 1$

Jenny has saved $3,800 over the last 12 months.

$250x+350y=3800$

Dividing both side from 50 we get,

$\frac{250}{50}x+\frac{350}{50}y= \frac{3800}{50}$

$5x+7y=76 \ \ \ \ equation\ 2$

Now Multiplying equation 1 by 5 we get,

$5\times(x+y)=5\times 12\\5x+5y=60\ \ \ \ equation \ 3$

Now Subtracting Equation 3 by equation 2 we get,

$(5x+7y=76)-(5x+5y=60)\\2y=16\\y=\frac{16}{2}= 8$

Substituting the value of y in equation 1 we get,

$x+y=12\\x+8=12\\x=12-8\\x=4$

∴ Jenny save 4 Months of $\$ 250$ and 8 Months of $\$ 350$ in a 12 month duration

4 0

3 years ago

Read 2 more answers

Find the 7th term of arithmetic progression whose first term is 102 and common difference is -3

melisa1 [442]

Answer: ummm i think it's -1

Step-by-step explanation:

7 0

3 years ago

You pay a registration fee and a monthly fee to join a local fitness center. The table shows the total cost of joining the fitne

Alekssandra [29.7K]

Answer:

100 divided by 3=33.33 therefore 33.33 per month

Step-by-step explanation:

Equation:

33.33x9= 299.97

This is for 9 months

3 0

3 years ago