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2 years ago

A computer that originally cost $850 is on sale for 15%off. What is the sale price of the computer show your work

Mathematics

2 answers:

olga nikolaevna [1]2 years ago

7 0

(850)x(0.85)=722.50
By multiplying the original price by .85 you get the sale price with the 15% off.

Yakvenalex [24]2 years ago

4 0

If it is on sale for 15%, then you are paying 85% (100-15) of the original price.

To find 85% of 850, you do 850*.85 to get $722.50

Hope this helps

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oksian1 [2.3K]

Answer:

Step-by-step explanation:

Given the simultaneous equation;

$\frac{a}{b} - \frac{b}{2} = 10\\a - b = 29$

From 2;

a = 29 + b ....3

Substitute 3 into 1;

$\frac{29+b}{b} - \frac{b}{2} = 10\\\frac{2(29+b)-b^2}{2b} = 10\\\frac{58+2b-b^2}{2b} = 10\\58+2b-b^2 = 20b\\b^2-2b-58 = -20b\\b^2-2b+20b -58 = 0\\b^2+18b-58 = 0\\$

Factorize

b = -18±√18²-4(-58)/2

b = -18±√324+232/2

b = -18±√556/2

b = -18±23.58/2

b = -18-23.58/2 and -18+23.58/2

b = -41.58/2 and 5.58/2

b = -20.79 and 2.79

Since a = 29 + b

when b = -20.79

a = 29 - 20.79

a = 8.21

<em>Hence the solution to the system of equation is (8.21, -20.79)</em>

7 0

2 years ago

You and your sister went to the store. Your mom gave you $35 to buy a few things. The store charges $4 an hour for parking plus

Sav [38]

Answer:6.5

Step-by-step explanation:35-15=20, 20-12=8, 8-1.50=6.5

8 0

2 years ago

the pie factory sells an apple pie with a diameter of 16 in. for $10.99. What's the approximate cost per square inch of surface

AURORKA [14]

I'm going to assume the crust covered by the dosenot matter because the total surface area cannot be found without the depth of the pie.

So the surface are is the area of the top of the pie, the top of the pie is circular and is equal to 2 $\pi$ r²

The diameter is the sum of 2 radii, hence r=8

D=12
= 2r =12
r=8

With the raduis the area can be found
A= 2 $\pi$ r²
A=2 $\pi$ 8²
A=2(64) $\pi$
A=128 $\pi$

If the pie cost 10.99, the cost per inch can be found by dividing the area by cost

cost/inch =128 $\pi$ /10.99
cost/inch =11.64 $\pi$
= 11.64(3.14)
= 36.57

The pie costs 36 cents per square inch

5 0

2 years ago

Find four consecutive even integers such that the sum of the second and fourth and integer is one half times the sum of the firs

Artyom0805 [142]

Okay lets create an eqn from that information

A first int, B second int, C third int, D fourth int.

B = A + 2
C = A + 4
D = A + 6
A is the smallest integer

B + D = 0.5 (A + C)

Now lets substitute

(A + 2) + (A + 6) = 0.5(A + (A + 4))
now lets dist

2a + 8 = 0.5(2a +4)
2a + 8 = a + 2
a + 8 = 2
a = -6

B = -6 +2
B = -4
C = -6 + 4
C = -2
D = -6 + 6
D = 0

Now using B + D = 0.5(A + C)
-4 + 0 = 0.5(-6 + (-2))
-4 = 0.5 (-8)
-4 = -4

Correct
Therefore, First integer is -6, second integer is -4, third integer is -2 and fourth integer is 0

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2 years ago

Consider the following problem: a box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cu

Alecsey [184]

Answer:

) See annex

b) See annex

x = 0,5 ft

y = 2 ft and

V = 2 ft³

Step-by-step explanation: See annex

c) V = y*y*x

d-1) y = 3 - 2x

d-2) V = (3-2x)* ( 3-2x)* x ⇒ V = (3-2x)²*x

V(x) =( 9 + 4x² - 12x )*x ⇒ V(x) = 9x + 4x³ - 12x²

Taking derivatives

V¨(x) = 9 + 12x² - 24x

V¨(x) = 0 ⇒ 12x² -24x +9 = 0 ⇒ 4x² - 8x + 3 = 0

Solving for x (second degree equation)

x =[ -b ± √b²- 4ac ] / 2a

we get x₁ = 1,5 and x₂ = 0,5

We look at y = 3 - 2x and see that the value x₂ is the only valid root

then

x = 0,5 ft

y = 2 ft and

V = 0,5*2*2

V = 2 ft³

7 0

2 years ago