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3 years ago

3m+3n=36 8m+5n=31 Using the process of elimination

Mathematics

1 answer:

amm18123 years ago

6 0

Answer:

m=-29/3 and n=65/3

Step-by-step explanation:

The given system has equations:

3m+3n=36

8m+5n=31

Multiply the top equation by 5 and bottom equation by 3 to get:

15m+15n=180

24m+15n=93

Subtract the top equation from the bottom equation to get:

9m=-87

Divide both sides by 9

$m = - \frac{29}{3}$

We substitute this value into the first equation to get:

$3( - \frac{29}{3} ) + 3n = 36$

$3n = 36 + 29$

$3n = 65$

$n = \frac{65}{3}$

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3 years ago

You buy items totaling $135.82. The sales tax is 4%. You give the clerk three $50 bills. Figure the following amounts:

MrRa [10]

Answer:

a. $5.43

b. $141.25

c. $8.75

Step-by-step explanation:

First you find the total amount you it cost for all the items

$135.82 + 4% = $141.25

You give three $50 dollar bills

50 * 3 = 150

$150 is the amount you give

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141.25 - 135.82 = 5.43

$5.43 is the amount of the sale price

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To find the amount is cost for all the items you add the sales tax + the original price

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$141.25 is the amount including the tax

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7 0

3 years ago

The maximum value of the function: f(x)= -5 x ^2 +30x-200 is?

VARVARA [1.3K]

Answer:

$\displaystyle - 155$

Step-by-step explanation:

we are given a quadratic function

$\displaystyle f(x) = - 5 {x}^{2} + 30x - 200$

we want to figure out the minimum value of the function

to do so we need to figure out the minimum value of x in the case we can consider the following formula:

$\displaystyle x _{ \rm min} = \frac{ - b}{2a}$

the given function is in the standard form i.e

$\displaystyle f(x) = a {x}^{2} + bx + c$

so we acquire:

b=30
a=-5

thus substitute:

$\displaystyle x _{ \rm min} = \frac{ - 30}{2. - 5}$

simplify multiplication:

$\displaystyle x _{ \rm min} = \frac{ - 30}{ - 10}$

simply division:

$\displaystyle x _{ \rm min} = 3$

plug in the value of minimum x to the given function:

$\displaystyle f (3)= - 5 {(3)}^{2} + 30.3 - 200$

simplify square:

$\displaystyle f (3)= - 5 {(9)}^{} + 30.3 - 200$

simplify multiplication:

$\displaystyle f (3)= - 45 + 90- 200$

simplify:

$\displaystyle f (3)= - 155$

hence,

the minimum value of the function is -155

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3 years ago

Look at image. reflection across y= -2

Annette [7]

Answer:

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Step-by-step explanation:

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3 years ago

Estimate 195 divided by 4. Tell which method is used.

ki77a [65]

195 ÷ 4 = 48.75
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3 years ago

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