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3 years ago

a store makes a profit of $8 on a sweater after a markup of 40%. what is the selling price of the sweater?

2 answers:

4 0

If you would like to know what is the selling price of the sweater, you can calculate this using the following steps:

40% of x is $8
40% * x = 8
40/100 * x = 8 /*100/40
x = 8 * 100 / 40
x = $20

Result: The selling price of the sweater is $20.

vovangra [49]3 years ago

4 0

Use ratios: $\frac{40}{100} = \frac{8}{?}$

Since 40/8=5, then you do the same on the bottom. 100/5=20, so the sweater was originally $20.

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Zielflug [23.3K]

Step-by-step explanation:

I just answered that. so, here again :

all we need to do is find the surface area, deduct windows and door areas.

that gives us the m² to be covered, which we have to multiply by $12.50 to get the total price.

the house surface area is like for a box, but we don't care about the top and the bottom. only about the walls.

the "box" is 18 m × 14 m × 4 m.

so, the front and the back walls are each

18m × 4 m = 72 m²

both front and back : 2×72 = 144 m²

each side wall is

14m × 4m = 56 m²

both sides : 2×56 = 112 m²

now for the deductions.

each window is

1.5 × 2 = 3 m²

both windows : 2×3 = 6 m²

the door is

1 × 2.5 = 2.5 m²

so, the total area to "side" is

144 + 112 - 6 - 2.5 = 247.5 m²

to side 247.5 m² it costs

247.5 × 12.5 = $3,093.75

7 0

2 years ago

Which expression can be used to find the sum of the polynomials? (9 – 3x2) + (–8x2 + 4x + 5)

Brums [2.3K]

Answer:

- 11x² + 4x + 14

Step-by-step explanation:

Given

(9 - 3x²) + (- 8x² + 4x + 5) ← distribute both parenthesis by 1

= 9 - 3x² - 8x² + 4x + 5 ← collect like terms

= - 11x² + 4x + 14 ← sum of the polynomials

6 0

4 years ago

Solve -8x + 4 ≤ 36 A. x ≥ -4 B. x ≤ 4 C. x ≥ 4 D. x ≤ -4

nexus9112 [7]

- 8x + 4 ≤ 36
Subtract 4 from both sides.
-8x ≤ 32
Divide both sides by -8. When dividing by a negative number change the
x ≥ - 4 inequality sign.
Letter A

7 0

3 years ago

How to differentiate ?

Bas_tet [7]

Use the power, product, and chain rules:

$y = x^2 (3x-1)^3$

• product rule

$\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{\mathrm d(x^2)}{\mathrm dx}\times(3x-1)^3 + x^2\times\dfrac{\mathrm d(3x-1)^3}{\mathrm dx}$

• power rule for the first term, and power/chain rules for the second term:

$\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(x-1)^2\times\dfrac{\mathrm d(3x-1)}{\mathrm dx}$

• power rule

$\dfrac{\mathrm dy}{\mathrm dx} = 2x\times(3x-1)^3 + x^2\times3(3x-1)^2\times3$

Now simplify.

$\dfrac{\mathrm dy}{\mathrm dx} = 2x(3x-1)^3 + 9x^2(3x-1)^2 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2 \times (2(3x-1) + 9x) \\\\ \boxed{\dfrac{\mathrm dy}{\mathrm dx} = x(3x-1)^2(15x-2)}$

You could also use logarithmic differentiation, which involves taking logarithms of both sides and differentiating with the chain rule.

On the right side, the logarithm of a product can be expanded as a sum of logarithms. Then use other properties of logarithms to simplify

$\ln(y) = \ln\left(x^2(3x-1)^3\right) \\\\ \ln(y) = \ln\left(x^2\right) + \ln\left((3x-1)^3\right) \\\\ \ln(y) = 2\ln(x) + 3\ln(3x-1)$

Differentiate both sides and you end up with the same derivative:

$\dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac2x + \dfrac9{3x-1} \\\\ \dfrac1y\dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \\\\ \dfrac{\mathrm dy}{\mathrm dx} = \dfrac{15x-2}{x(3x-1)} \times x^2(3x-1)^3 \\\\ \dfrac{\mathrm dy}{\mathrm dx} = x(15x-2)(3x-1)^2$

7 0

3 years ago

Can anyone help me plzz ?? Lakita has 66 water bottles for the 5K race participants. In addition, she is planning to buy boxes o

asambeis [7]

Answer: she will buy 60 but if she add up all the water bottles togeather it will be 126 but the answer is 60

Step-by-step explanation: so first you have to make 5 boxes on a pice of paper and put 12 lines in each box and you count all the lines in the boxes togeather and they will equal 60 water bottles so the answer is 60

3 0

3 years ago