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ivanzaharov [21]
3 years ago
11

Find the values of x and y

Mathematics
1 answer:
makkiz [27]3 years ago
8 0

Answer:

x = 2

y = 12

Step-by-step explanation:

In triangle ABD, CE is the mid segment.

Therefore, by mid segment theorem:

2(5x - 3) = x + 12

10x - 6 = x + 12

10x - x = 12 + 6

9x = 18

x = 18/9

x = 2

Since, DE = EA

2y - 4 = y + 8

2y - y = 8 + 4

y = 12

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Reggie invests $12,000, part at 7% annual interest and part at 8.5% annual interest. how much is invested at each rate if reggie
Vika [28.1K]

Let us say that:

x = invested at 7%

y = invested at 8.5%

and that:

<span>x + y  = 12,000</span>

We can also say that:

0.07 x + 0.085 y = 900

 

Therefore:

0.07 x + 0.085 (12000 – x) = 900

0.07 x + 1020 – 0.085 x = 900

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x = $8000

 

so y is:

y = 12000 – 8000

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$8000 is invested at 7% annual interest while $4000 is invested at 8.5%

3 0
4 years ago
Mrs. Simmons gave a history test worth 92 points. There were only two types of questions on it: 2-point true/false questions and
SVETLANKA909090 [29]

Answer:

There are 8 true/false questions and 26  fill-in-the-blank questions.

Step-by-step explanation:

Let "t" be the number of 2-point true/false questions and "f" the number of 5-point fill-in-the-blank questions.

Mrs. Simmons gave a history test worth 92 points. Symbollically,

2 t + 5 f = 92   [1]

There were a total of 34 questions in the test. Symbollicaly,

t + f = 34

t = 34 - f   [2]

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We replace f = 8 in [2],

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There are 8 true/false questions and 26  fill-in-the-blank questions.

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3 years ago
Gold in the form of solid cylinders will be molded into solid blocks. Each cylinder has a diameter of 6.18 cm and a height of 6
nordsb [41]

First we need to find out the volume of one cylinder. We already know the volume of the block of gold is 360cm3

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Now we divide the volume of this cylinder with the volume of block of gold.

360/180 = 2

So it will take 2 cylinders to mold one block of gold.

6 0
3 years ago
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