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zhuklara [117]
1 year ago
6

Mal works at a photo gallery. He charges $50 for a large photo and $40 for a large frame. Sales tax is 5%. How much total tax wi

ll a customer pay on both?Answer the questions to show how to write and simplify expressions that represent the problem.
2. Use the distributive property to expand 0.05(50 + 40). (2 points)
Mathematics
2 answers:
statuscvo [17]1 year ago
5 0

Answer:

$4.50

Step-by-step explanation:

We can use the distributive property to solve this problem. 0.05(50+40) is the total sales tax. 0.05 being the percentage and 50 and 40 being the things we need to distribute 0.05 to. This becomes 2.5+2. This is 4.5.

Ronch [10]1 year ago
4 0

Answer:

$0.45

Step-by-step explanation:

0.05(50 + 40) = 50 x 0.05 + 40 x 0.05 = 0.25 + 0.20 = 0.45

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3х – 8y = 19<br> 3х + 5y = — 46
Vadim26 [7]

Answer:

-5

Step-by-step explanation:

multiple the second equation by negative then subtract or add the equations and the answer will be negative 5

4 0
3 years ago
What does this equal to? <br> 8ft 12 in. = ____yd
MissTica
First:
3 feet=1 yard
36 inches=1 yard

8 feet=2 \frac{2}{3} of a yard
12 inches=1/3 of a yard.

2<u />\frac{2}{3}+\frac{1}{3}=2\frac{3}{3} or 3. 

Hope this helps!
8 0
3 years ago
Read 2 more answers
A city park commission received a donation of playground equipment from a parents' organization. The area of the playground need
dalvyx [7]

Answer:

Length = 20.49 yards and Width = 12.49 yards.

Step-by-step explanation:

The area of the rectangular playground is given by 256 yards square. It is also known that one of the sides of the playground is 8 yards longer than the other side. Therefore, let the smaller side by x yards. Then the longer side will be (x+8) yards. The area of the rectangle is given by:

Area of the rectangle = length * width.

256 = x*(x+8)

x^2 + 8x = 256. Applying the completing the square method gives:

(x)^2 + 2(x)(4) + (4)^2 = 256 + 16

(x+4)^2 = 272. Taking square root on both sides gives:

x+4 = 16.49 or x+4 = -16.49 (to the nearest 2 decimal places).

x = 12.49 or x = -20.49.

Since length cannot be negative, therefore x = 12.49 yards.

Since smaller side = x yards, thus smaller side = 12.49 yards.

Since larger side = (x+8) yards, thus larger side = 12.49+8 = 20.49 yards.

Thus, the length and the width to minimize the perimeter of fencing is 20.49 yards and 12.49 yards respectively!!!

7 0
3 years ago
Lebo buys blank writable CDs in bulk. He repackages them and sells them
Kay [80]

Answer:

  1. He must sell each CD for R1,10 to make 40% profit

Step-by-step explanation:

R40×5%=2

R40-2=R38

40%×38=R15,2

15,2+40=55,2

55,2÷50=R1,10

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5 0
3 years ago
Find a numerical value of one trigonometric function of x for cscx = sinx tanx + cosx
Alex787 [66]

Answer:

Step-by-step explanation:

we have

cscx = sinx tanx + cosx\\\\\frac{1}{sinx}=sinx.\frac{sinx}{cosx} +cosx\\\\\frac{1}{sinx}.sinx.cosx= sinx.\frac{sinx}{cosx}.sinx.cosx+cosx.sinx.cosx\\  cosx= (sinx)^{3} +sinx.(cosx)^{2} \\cosx= sinx[(sinx)^{2}+(cosx)^{2})\\  cosx=sinx.1\\cosx=sinx\\tanx=1\\x=\frac{\pi}{4} +k\pi,k-integer.

6 0
3 years ago
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