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2 years ago

Solve each system of equations using the substitution method

Mathematics

1 answer:

boyakko [2]2 years ago

7 0

Step-by-step explanation:

y=-3+5x

substitute y into equation 2

3x-8y=24

3x-8(-3+5x)=24

3x+24-40x=24

x=0

y=-3+5(0)

y=-3

(x,y)=(0,3)

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For every $10 Helen takes home, her employer withholds $3 for taxes and social security. Helen's gross pay each month is $1950.

goldfiish [28.3K]

$1,671.43 I believe is the answer

3 0

3 years ago

A store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid. Late

Molodets [167]

Answer:

The clearance price is $17.28.

The clearance price will not give the store any profit.

Step-by-step explanation:

We have been given that a store pays a manufacturer $20 for a hat. To make a profit, the store prices the hat 60% higher than the amount they paid.

The price of the hat after increasing the price by 60% will be:

$\text{Price of the hat after an increase of 60\%}=20+(\frac{60}{100}*20)$

$\text{Price of the hat after an increase of 60\%}=20+(0.60*20)$

$\text{Price of the hat after an increase of 60\%}=20+12$

$\text{Price of the hat after an increase of 60\%}=32$

So, the price of hat after the increase of 60% will be $32.

As the sale reduces the price of hat by 10%, so the price of hat after sale will be:

$\text{Price of the hat after sale of 10\%}=32-(\frac{10}{100}*32)$

$\text{Price of the hat after sale of 10\%}=32-(0.10*32)$

$\text{Price of the hat after sale of 10\%}=32-3.2$

$\text{Price of the hat after sale of 10\%}=28.8$

So the price of hat after 10% sale will be $28.8.

As the clearance sale reduces the price by 40%, so price of hat after clearance sale will be 28.8 minus 40% of 28.8.

$\text{Price of the hat after clearance sale}=28.8-(\frac{40}{100}*28.8)$

$\text{Price of the hat after clearance sale}=28.8-(0.40*28.8)$

$\text{Price of the hat after clearance sale}=28.8-11.52$

$\text{Price of the hat after clearance sale}=17.28$

Therefore, the clearance price is $17.28.

As store has purchased the hat from manufacturer for $20 and sold it $17.28, therefore, the store will not have a profit.

7 0

3 years ago

How many integers between 199 and 599 are multiple of 3

Reptile [31]

A.P. series would be: 201, 204, 207 .... 597
Here, a = 201, d = 3, l = 597

Now, l = a + (n - 1) d
597 = 201 + (n - 1)3
597 - 201 = 3n - 3
396 + 3 = 3n
n = 399/3
n = 133

In short, Your Answer would be 133

Hope this helps!

8 0

3 years ago

Read 2 more answers

7) Una epidemia mató los 3/7 de las vacas de un granero y de las que le quedaron vendió 1/2. Si todavía le quedaron 24 vacas, ¿C

4vir4ik [10]

Answer:

Habían inicialmente 84 vacas. Murieron 36 vacas. 24 vacas fueron vendidas.

Step-by-step explanation:

Sea $x$ la cantidad inicial de vacas. De acuerdo con el enunciado, murieron tres séptimos de la cantidad inicial y la mitad de ese remanente fue vendida, quedando 24 vacas. Matemáticamente, tenemos las siguientes operaciones: