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musickatia [10]
2 years ago
6

Solve 10 X + 8 / 2 X + 7 is equal to 4 ​

Mathematics
1 answer:
ale4655 [162]2 years ago
4 0

Answer:

x = 10

Step-by-step explanation:

\frac{10x + 8}{2x + 7}  = 4

or, 10x + 8 = 4(2x + 7)

or, 10x + 8 = 8x + 28

or, 10x - 8x = 28 -8

or, 2x = 20

or, x = 20/2

or, x = 10

x = 10

You might be interested in
A police car drives 108km in 1 1/2 hours what is its average speed in kilometers per hour.
zhuklara [117]

ANSWER

72km/h

EXPLANATION

The average speed of the car can be calculated using the formula:

Average Speed=total distance/ total time taken.

The car covers a distance of 108km in 1½ hours.

We substitute the values into the formula to obtain,

Average  \:  \: Speed= \frac{108}{1.5}

Average  \:  \: Speed=72 {kmh}^{ - 1}

Therefore the average speed of the journey is 72km/h

7 0
3 years ago
onsider the equation 0.5 times e4z =13 solve the equation for z. express the solution as a logarithm in base e
olga_2 [115]

Answer:

z=\frac{ln(26)}{4}

Step-by-step explanation:

The given equation is:

0.5\,e^{4z}=13

so, we first isolate the exponential form that contains the unknown "z" in the exponent, by dividing both sides by 0.5:

0.5\,e^{4z}=13\\e^{4z}=\frac{13}{0.5}\\e^{4z}=26

Now we bring the exponent down by applying the natural log function on both sides, and then solve for "z":

e^{4z}=26\\ln(e^{4z})=ln(26)\\4\,z=ln(26)\\z=\frac{ln(26)}{4}

5 0
3 years ago
Please please help me out!!!!!
Sliva [168]

Answer:

The answer to your question is: g(3) = 34

Step-by-step explanation:

Function                   g(x) = 4(x)² - 3(x) + 7

                                 g(3) = 4(3)² - 3(3) + 7               substitution

                                 g(3) = 4(9) - 3(3) + 7                 simplify

                                 g(3) = 36 - 9 + 7

                                 g(3) = 36 - 2

                                  g(3) = 34

                               

7 0
3 years ago
A patient who originally weighed 340 pounds lost 60 pounds. What percent of his original weight did he lose?
Semenov [28]

Answer:

82.35%

Step-by-step explanation:

60 divided by 340=0.17647058823

Multiply that by 100 and you get 17.647058823

Next, round and you get 17.65

100-17.65=82.35

4 0
2 years ago
Express each number in its simplest radical form. <br> √6⋅√60=?
Tom [10]

Answer:

6√10

Step-by-step explanation:

factorizing 6 and 60

6 =  2 x 3

60 = 2 x 2 x 3 x 5

hence

√6 · √60

= √ [ (2 x 3) · (2 x 2 x 3 x 5) ]

= √ (2· 2² · 3² · 5)

= √ (2² · 3²) x √(2·5)

= (2 · 3) x √10

= 6√10

5 0
3 years ago
Read 2 more answers
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