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lara [203]
3 years ago
13

The original price of a book is $25. The book is on sale for 30% off.

Mathematics
1 answer:
katrin2010 [14]3 years ago
5 0

Answer:

You will pay 70% of the original price. You will pay $17.50

Step-by-step explanation:

100% is full price because 100%=1 (one whole).

100% - 30% = 70%

70% = 0.7

0.7 multiplied by $25 is $17.50

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Which expression best represents the product of two consecutive integers? CLEAR CHECK x?(2+x) x?(x+1) 2?(x+1) 2x+2
Stella [2.4K]

Answer:

<h2>The product of two consecutive integers:</h2><h2>x · (x+1) = x(x + 1)</h2>

Step-by-step explanation:

Consecutive integer:

... -2, -1, 0, 1, 2, 3, ...

Difference between two consecutive integers is equal to 1.

Therefore two consecutive integers is x and x + 1.

4 0
3 years ago
The solution for the system equations 8x-6y=-32 and -8x+5y=36
Ghella [55]

Answer:

x=47, y=68

Step-by-step explanation:

Add the two equations. Then we get

-y=-68

y=68

Substituting the value of y in the first equation,

8x-6(68)=-32

8x-408=-32

8x=376

x=47

6 0
3 years ago
If ∆BCD ~ ∆GEF, find the value of x.
Karolina [17]
X=48
Y=44
Because the triangles are congruent.
8 0
3 years ago
Read 2 more answers
Reuben bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $150 more than the desktop. He p
cupoosta [38]
Same case as Pablo's, more or less.

a = price for the desktop

b = price for the laptop

we know the laptop is 150 bucks more than the desktop,  b = a + 150.

how much is 7% of a?  (7/100) * a, 0.07a.

how much is 9.5% of b?  (9.5/100) * b, 0.095b.

total interests for the financing add up to 303, 0.07a + 0.095b = 303.

\bf \begin{cases}&#10;\boxed{b}=a+150\\&#10;0.07a+0.095b=303\\&#10;----------\\&#10;0.07a+0.095\left(\boxed{a+150}  \right)=303&#10;\end{cases}&#10;\\\\\\&#10;0.07a+0.095a+14.25=303\implies 0.165a=288.75&#10;\\\\\\&#10;a=\cfrac{288.75}{0.165}\implies a=1750

how much was it for the laptop?  well b = a + 150.
8 0
3 years ago
A cone has radius 9 and height 12. A frustum of this cone has height 4.
Rom4ik [11]

The radii of the frustrum bases is 12

Step-by-step explanation:

In the figure attached below, ABC represents the cone cross-section while the BCDE represents frustum cross-section

As given in the figure radius and height of the cone are 9 and 12 respectively

Similarly, the height of the frustum is 4

Hence the height of the complete cone= 4+12= 16 (height of frustum+ height of cone)

We can see that ΔABC is similar to ΔADE

Using the similarity theorem

AC/AE=BC/DE

Substituting the values  

12/16=9/DE

∴ DE= 16*9/12= 12

Hence the radii of the frustum is 12  

3 0
3 years ago
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