Simply each expression completely and you can use the power to power rule to solve this

Answer:

[tex]P(n)=-2n+75[/tex]

Step-by-step explanation:

Let n represent the number of shirts in thousands and P represent the charge per shirt. n is the independent variable and P is the dependent variable.

Since 3000 shirts sell for $69 each, this can be represented as (3, 69). Also 7000 shirts sell for $61 each, this can be represented as (7, 61).

The equation showing the relationship is gotten using:

[tex]P-P_1=\frac{P_2-P_1}{n_2-n_1}(n-n_1) \\\\P-69=\frac{61-69}{7-3} (n-3)\\\\P=-2(n-3)+69\\\\P=-2n+75\\\\P(n)=-2n+75[/tex]

Answer:

Ratios are like fractions. It is one part divided by the total amount of parts.

Step-by-step explanation:

for example there are 2 boys and 5 girls

so the ratio of boys to girls is 2:5

Answer:

I believe the answer is C

Step-by-step explanation:

Answer: $1.80

Step-by-step explanation:

600 grams - .6 kg

.6x+1.5y=4.62

y=x-1.4

.6x+1.5(x-1.4)=4.62

.6x+1.5x-2.1=4.62

2.1x=6.72

x=3.2 ( 1 KG of candy)

y=3.2-1.4

1.8=y (1 KG of cookies)

Answer:

for #9:

tan 30=x/10

tan 30*10=x

x=5.77=5.8

for #10:

tan 40=4/x

x*tan 40=4

x=4/tan 40

x=4.76=4.8

Step-by-step explanation:

hope all that helped lol

Answer:

144 square inches

Step-by-step explanation:

Total surface area of the rectangular prism =  Sum of all the area of its sides

Since it has a square base which can be covered by 16 squares of length 1 inch each, then;

length of its base = 4 inches

So that,

i. Area of its base = [tex]length^{2}[/tex]

                          = [tex]4^{2}[/tex]

area of its base = 16 square inches

ii. Area of one of the surfaces of its sides = length x width (or base x height)

                                       = 4 x 7

                                       = 28 square inches

Sum of the area of its vertical sides = 4 x 28

                                        = 112 square inches

Thus,

Total surface area of the prism = 16 + 16 + 112

                                          = 144 square inches

Answer:

a. the sign is interchange

it should be = x^2 - 3x + 4 - x^3 - 7x + 2

Answer:

see explanation

Step-by-step explanation:

(a)

The student has distributed the second parenthesis by 1 instead of - 1

(b)

Given

(x² - 3x + 4) - (x³ + 7x - 2)

distribute the first parenthesis by 1 and the second by - 1, that is

= x² - 3x + 4 - x³ - 7x + 2 ← collect like terms

= - x³ + x² - 10x + 6

Answer:

Help verify values

Step-by-step explanation:

I basically help prove that the value fits and verifies that equation or inequality. By substituting a value for the variable within the equation or inequality and then solving it as a regular expression it should correctly output the same value on the other side of the equation or make the inequality true. For example, using the following inequality...

3x + 2 > 4

We can substitute the variable x for 2 and solve the inequality, if the inequality is true then we know that the value 2 is a correct and verified value.

(3*2) + 2 > 4

6 + 2 > 4

8 > 4  ... True

Answer:

8.64x1.334x10^16

11.52576x10^16

Step-by-step explanation:

R4.00 × 340

= R1 360.00

R623.48 × 15

= R9 352.20

R9 352.20 + R1 360

= R10 712.20

R12.00 × 340

= R4 080

R4 080 - R10 712.20

= -R6 632.20

The learners are making a R6 632.20 Loss

Answer:

18x^2-23x-6

Step-by-step explanation:

multiply: 9x*2x-9x*3+2*2x-2*3

18x^2-9X(3)3+2(2X)-2(3)

18X^2-27x+4x-6

18x^2-23x-6

Answer:

7=(-9+y)÷x

Step-by-step explanation:

Answer: 18 oatmeal cookies.

Step-by-step explanation:

Simplify divide 24 by 3/4 to find how many oatmeal cookies Lucas made.

24 x 3 = 72/4 = 18

Answer:

12

Step-by-step explanation:

We can see that the base TA is 4, and the second base RS is 2. We can see that the height is 4. The area of a trapezoid is:

[tex]A=\frac{h(b_1+b_2)}{2}[/tex]

Using this, we can substitute, and get:

[tex]A=\frac{4\cdot(2+4)}{2} = \frac{24}{2} = 12[/tex]

Hope it helps!!

Answer:

105

Step-by-step explanation:

It is increasing by 3 everytime.

So you just use that and write down all numbers in order ascending to the 32nd term.

I'd list them all but I don't think you wanna read all of it.

Hope this helps.

Answer:

426.9

Step-by-step explanation:

Answer:

7 (units)

Step-by-step explanation:

If E is placed at the number 6- then it would take 6 to get to 0. If B is placed at -1, then it would be one more backward to get to B- so it would take 7 to get from E to B.

Answer:

28 and 49 are the two numbers whose sum is 77.

Step-by-step explanation:

Answer:

3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679

3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679

Hope this helps; have a great day!

Answer:

-4,2

Step-by-step explanation:

gskskdmdj

hope it helps

Step-by-step explanation:

2∠BDA = ∠BCA

2 (3x - 15)° = (2x + 32)°

6x - 30 = 2x + 32

6x - 2x = 32 + 30

4x = 62

x = 62/4

x = 15.5

Answer:

Step-by-step explanation:

VW<WX<VX

25°<65°<90°

Answer:

7isisissisisisisusjsjsjsjsjja

Step-by-step explanation:

kakqkqkqkakakskjdjdkeoesnzjzjkzjzjkssjsj

Answer:

840

Step-by-step explanation:

If 40% of the total quantity is 420, then to find 80%, just double the number.

420*2=840

Answer:

is it congruent !!!!!!!