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3 years ago

Type the correct answer in the box.

Mathematics

1 answer:

Pie3 years ago

4 0

The inequality for this problem would be 10.99c + 8.89b ≤ 25.

To find this, we need to know that for every pound of cashews (c) we have to pay 10.99. That's how we find the first term. Similar for the second in which we charge 8.89 for blueberries (b).

Then when we add these together, we know that they must not be greater than 25. So we can express it with a ≤.

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Mr. Turner lives in St. Louis, Missouri. Mr. Turner employer pays 100% of his medical insurance. He has rent of $800 and $600 fo

sergiy2304 [10]

Given Data:

medical insurance paid = 100%.

rent = $800.

Car payment = $600.

Light bill = $100.

Car insurance = $300.

Taxes = $287.

Solution:

Minimum salary to bear all expenses is

S = Basic expenses + Payroll and taxes

S = $( 800 + 600 + 100 + 300 + 287)

S = $2087.00

His monthly salary is $2087.00 .

This is the required amount needed.

5 0

4 years ago

Y=8x-2, find the equation of the line that is perpendicular to this line and passes through the point (-5, -6)

Eddi Din [679]

Slope-intercept form: y = mx + b

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be perpendicular, their slopes have to be negative reciprocals of each other (flip the sign +/- and the fraction/switch the numerator and the denominator)

For example:

Slope = -2 or $-\frac{2}{1}$

Perpendicular line's slope: $\frac{1}{2}$ (flip the sign from - to +, and flip the fraction)

Slope = $\frac{1}{3}$

Perpendicular line's slope = $-\frac{3}{1}$ or -3 (flip the sign from + to -, flip fraction)

y = 8x - 2 The slope is 8, so the perpendicular line's slope is $-\frac{1}{8}$ .

Now that you know the slope, substitute/plug it into the equation:

y = mx + b

$y=-\frac{1}{8} x+b$ To find b, plug in the point (-5, -6) into the equation, then isolate/get the variable "b" by itself

$-6=-\frac{1}{8} (-5)+b$ (Two negative signs cancel each other out and become positive)

$-6=\frac{5}{8} +b$ Subtract 5/8 on both sides to get "b" by itself

$-6-\frac{5}{8} =b$ (To combine fractions, they need to have the same denominator, so multiply -6 by 8/8 so that they will have the same denominator)

$(\frac{8}{8}) (-6)-\frac{5}{8} =b$

$-\frac{48}{8} -\frac{5}{8}$ = b Now combine the fractions

$-\frac{53}{8} =b$

$y=-\frac{1}{8} x-\frac{53}{8}$

3 0

4 years ago

If the difference in the side lengths of two squares is 10, and the sum of the side lengths is 18, what are the side lengths?

likoan [24]

You can use a system of equations to solve this problem. Let one equation be the sum of the sides and the other equation be the difference of the equations. Using elimination method you get 4 & 14.
4+14=18
14-4=10

4 0

4 years ago

What is the formula for the system of equation usign the substitution?

olga_2 [115]

We can substitute y in the second equation with the first equation since y = y. The solution of the linear system is (1, 6). You can use the substitution method even if both equations of the linear system are in standard form. Just begin by solving one of the equations for one of its variables.

7 0

4 years ago

The cost of admission to the zoo is $10 for adults and $5 for children. How much will it cost for 7 adults and 12 children to go

77julia77 [94]

Answer:

it will cost 130

Step-by-step explanation:

10x7=70 12x5=60 60+70=130

7 0

3 years ago