1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Anni [7]
3 years ago
5

Please look at the image provided.

Mathematics
1 answer:
SpyIntel [72]3 years ago
8 0

Answer:

x=3

Step-by-step explanation:

\frac{6\left(x-2\right)}{2}=\frac{3\left(x+5\right)}{8}\\\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c\\6\left(x-2\right)\cdot \:8=2\cdot \:3\left(x+5\right)\\Simplify\\48\left(x-2\right)=6\left(x+5\right)\\\mathrm{Expand\:}48\left(x-2\right):\quad 48x-96\\48\left(x-2\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b-c\right)=ab-ac\\a=48,\:b=x,\:c=2\\=48x-48\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:48\cdot \:2=96

=48x-96\\\mathrm{Expand\:}6\left(x+5\right):\quad 6x+30\\6\left(x+5\right)\\\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=6,\:b=x,\:c=5\\=6x+6\cdot \:5\\\mathrm{Multiply\:the\:numbers:}\:6\cdot \:5=30\\=6x+30\\48x-96=6x+30\\\mathrm{Add\:}96\mathrm{\:to\:both\:sides}\\48x-96+96=6x+30+96\\Simplify\\48x=6x+126\\\mathrm{Subtract\:}6x\mathrm{\:from\:both\:sides}\\48x-6x=6x+126-6x\\\mathrm{Simplify}\\42x=126\\\mathrm{Divide\:both\:sides\:by\:}42

\frac{42x}{42}=\frac{126}{42}\\Simplify\\x=3

You might be interested in
Find the perimeter of the following triangle.
Masteriza [31]

Answer:

If I did my math correctly, I'm pretty sure the answer is 3 1/36 yards.

Step-by-step explanation:

1. First, you have to turn them all into an improper fraction.

1 7/18 becomes 25/18

1 2/9 becomes 11/9

5/12 remains the same as it's already an improper fraction.

2. Find a common denominator, which is 36

25/18 becomes 50/36

11/9 becomes 44/36

5/12 becomes 15/36

3. Add them all together and you get 109/36

4. Turn it into a mixed number, and in this case, is 3 1/36

Solution is 3 1/36

5 0
3 years ago
Read 2 more answers
Answer n.8 for me pls
Nimfa-mama [501]

Answer:

Step-by-step explanation:

(13)2−(2x+7)=0

19x2−2x−7=0

9(19x2−2x−7)=9(0)

x2−18x−63=0

(x−21)(x+3)=0

Therefore, the value of x are

x - 21 = 0 and x + 3 = 0

x = 21 x = -3

5 0
4 years ago
Please help me it’s the bottom question with the picture!
kicyunya [14]

Answer:

x=1

Step-by-step explanation:

3·(-x) + 3·(-1) = 6·(-1)

-3·x - 3 = -6

3·x = 3

x = 1

6 0
3 years ago
Use the interactive number line to find the difference. 4.7 - 2.3 = 4.7 + (-2.3) =
FromTheMoon [43]

Answer:

Arrow from 0 to 4.7 and from 4.7 to 2.4

Step-by-step explanation:

4.7 is also 0+4.7

arrow from 0 to 4.7.

-2.3 from 4.7 is 4.7-2.3=2.4

arrow from 4.7 to 2.4.

5 0
3 years ago
In 2008, the population of 10- to 14- year- olds in the united states was 20,484,163. Write this number in expanded form plz hel
Over [174]
20,000,000+400,000+80,000+4,000+100+60+3
7 0
4 years ago
Other questions:
  • Two number cubes are rolled. What is the probability that the first lands on 2 and the second one lands on a number greater than
    14·1 answer
  • How can you use greatest common factor to simplify a fraction?<br> Question #15
    8·2 answers
  • What is the solution to the following equation 4(4n + 7) = -20
    7·1 answer
  • 2x-3y=4<br> -4x+6y=-8. <br> solve by elimination
    11·2 answers
  • 8th graders can solve 7 problems in 14 minutes. How long with it take them to solve 37 problems?
    7·1 answer
  • A circle has a center at (8,2). The point (3,7) is on the circle. What is the area of the circle to the nearest tenth of a squar
    10·2 answers
  • 00:00
    7·1 answer
  • Here, take some coins. 5+5?
    5·2 answers
  • The expression below describes the number of organisms in a population of bacteria
    14·1 answer
  • What is 2.3g as a percentage of 5.98g ? (Round the nearest whole number)
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!