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ankoles [38]
3 years ago
15

- 2x – 117 = = 10x + 59

Mathematics
1 answer:
Alexxx [7]3 years ago
4 0

Answer:

\huge\boxed{x=-\dfrac{44}{3}=-14\dfrac{2}{3}}

Step-by-step explanation:

-2x-117=10x+59\qquad|\text{add 177 to both sides and subtract}\ 10x\ \text{from both sides}\\\\-2x-10x-117+117=10x-10x+59+117\\\\-12x=176\qquad|\text{divide both sides by (-12)}\\\\\dfrac{-12x}{-12}=\dfrac{176}{-12}\\\\x=-\dfrac{176:4}{12:4}\\\\x=-\dfrac{44}{3}

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A certain drug is made from only two ingredients: compound A and compound B. There are 5 milliliters of compound A used for ever
ale4655 [162]
<h3>Answer:    410 mL </h3>

=====================================================

Explanation:

The ratio of A to B is 5:3

Multiply both parts by x to get 5x:3x

We need 5x parts of A and 3x parts of B

Adding those parts should get us 656 mL total

A+B = total

5x+3x = 656

8x = 656

x = 656/8

x = 82

Therefore, we need 5x = 5*82 = 410 mL of compound A

Also, we need 3x = 3*82 = 246 mL of compound B

In total, we have A+B = 410+246 = 656 mL which helps confirm the answer.

-----------

Side note: The ratio  410:246 reduces to 5:3 after dividing both parts by 82.

7 0
3 years ago
The sum of positive integers b and h is 34. If their difference is 8, what is the value of bh?
Wittaler [7]
13 and 21
13 * 21 = 273
It would be D
3 0
3 years ago
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A base angle of an isosceles triangle measures 30, and the length of one of the legs is 12. What is the length of the altitude d
AfilCa [17]

Answer: 6

Step-by-step explanation:

From the question, a base angle of isosceles triangle is 30°.We are also informed that one of the legs is 12. The altitude is opposite to the angle having a measure of 30°. The hypoteneous in the right angled triangle which is formed by drawing the altitude is 12. This will be calculated as:

Sin = opposite/hypotenuse

Sin 30°=length of the altitude/12

Note that sin 30° = 0.5

0.5 = length of the altitude/12

length of the altitude = 12 × 0.5

Hence, length of altitude = 6

5 0
3 years ago
Số táo của An, Bình, Chi là như nhau. An cho đi 17 quả , Chi cho đi 19 quả thì lúc này số táo của Chi gấp 5 lần tổng số táo còn
soldier1979 [14.2K]

Answer:

So, the initial number of apples is 7.

Step-by-step explanation:

The number of apples of An, Binh, and Chi are the same. An gave away 17 apples, Chi gave away 19 apples, so now Chi's apples are 5 times higher than the total remaining apples of An and Binh. How many apples did each of you have at first? (Solve the above problem by equation or system of equations)

Let the initial numbers of apples is a.

An gave 17 apples

Chi gave 19 apples

So,

x - 19 = 5 (x - 17 + x)

x - 19 = 5 (2x - 17)

x - 19 = 10 x - 85

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x = 7

6 0
3 years ago
Find the area of the shape shown below.
NeX [460]

Answer:

16

Step-by-step explanation:

4x2=8

8x2=16

8 0
3 years ago
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