22. jasmine has a budget of $600.00 to spend
on home renovations. she will spend $175.00
on a new sink and the remainder on
countertops. the countertops cost $35 per
square foot. what is the maximum number of
square feet jasmine can purchase?
23. hay
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taking a
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variable:
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inequality:
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The maximum number of  square feet Jasmine can purchase is 12 square feet.

Step-by-step explanation:

Given:

Jasmine has a budget of $600.00 to spend  on home renovations.

She will spend $175.00  on a new sink and the remainder on  countertops.

The countertops cost $35 per  square foot.

Now, to get the maximum number of  square feet Jasmine can purchase.

Now, we find the remainder amount to be spend on countertops:

$600 - $175 = $425.

Remainder amount = $425.

Cost of per square foot countertops = $35.

Now, to get the number of square feet which can purchase with $425:

⇒

⇒

⇒

Estimating value = 12 square feet.

Therefore, the maximum number of  square feet Jasmine can purchase is 12 square feet.

the quotient is 4x^2 - 27x + 167 with a remainder of -996

step-by-step explanation:

in synthetic division, use -6 as the divisor and use the coefficients {4, -3, 5, 6}:

-6     )   4     -3     5     6

                -24   162 -1002

          4   -27   167   -996

thus, the quotient is 4x^2 - 27x + 167 with a remainder of -996.

note:   your "4x°-3x+5x+6" is ambiguous / incomplete.   i had to assume that you meant '4x^3 - 3x^2 + 5x + 6."