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
zmey [24]
3 years ago
9

Solve and check the equation.

mula1" title="\frac{x}{10}=\frac{5x}{7} -43" alt="\frac{x}{10}=\frac{5x}{7} -43" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Y_Kistochka [10]3 years ago
5 0

Answer:

x = 70

Step-by-step explanation:

Step 1: Simplify both sides of the equations.

  • \frac{x}{10} = \frac{5x}{7}-43
  • \frac{1}{10}x=\frac{5}{7}x-43

Step 2: Subtract 5/7x from both sides.

  • \frac{1}{10}x- \frac{5}{7}x = \frac{5}{7}x - 43 - \frac{5}{7}x
  • \frac{-43}{70}x = -43

Step 3: Multiply both sides by 70/(-43).

  • \frac{-43}{70}x * \frac{70}{-43} = -43*\frac{70}{-43}
  • x = 70

Step 4: Check if solution is correct.

  • \frac{(70)}{10}=\frac{5(70)}{7}  -43
  • 7 = \frac{350}{7} - 43
  • 7 = 50 - 43
  • 7 = 7

Therefore, x = 70.

You might be interested in
A gardener uses 20 gallons of water each week on his 8-foot by 10-foot vegetable garden. He plans to enlarge his
MatroZZZ [7]

Answer:

60 gallons

Step-by-step explanation:

so he enlarged it by three so it would be 24by30

because of that, you have to multiply 20g by 3 also

that gives you 60 gallons

7 0
2 years ago
Find the components of the vertical force Bold Upper Fequalsleft angle 0 comma negative 8 right anglein the directions parallel
nydimaria [60]

Answer with Step-by-step explanation:

We are given that

F=<0,-8>=0i-8j=-8j

\theta=\frac{\pi}{3}

The component of force is divided into two direction

1.Along the plane

2.Perpendicular to the plane

1.The vector parallel to the plane will be=r=cos\frac{\pi}{3}i-sin\frac{\pi}{3}j=\frac{1}{2}i-\frac{\sqrt 3}{2}j

By using cos\frac{\pi}{3}=\frac{1}{2},sin\frac{\pi}{3}=\frac{\sqrt 3}{2}

Force along the plane will be=\mid F_x\mid=F\cdot r

Force along the plane will be =\mid F_x\mid=F\cdot (\frac{1}{2}i-\frac{\sqrt 3}{2}j)=-8j\cdot(\frac{1}{2}i-\frac{\sqrt 3}{2}j)=8\times \frac{\sqrt 3}{2}=4\sqrt 3N

By using i\cdot i=j\cdoty j=k\cdot k=1,i\cdot j=j\cdot k=k\cdot i=j\cdot i=k\cdot j=i\cdot k=0

Therefore, force along the plane=\mid F_x\mid(\frac{1}{2}i-\frac{\sqrt 3}{2}j)=4\sqrt 3(\frac{1}{2}i-\frac{\sqrt 3}{2}j)

2.The vector perpendicular to the plane=r=-sin\frac{\pi}{3}-cos\frac{\pi}{3}=-\frac{\sqrt 3}{2}i-\frac{1}{2}j

The force perpendicular to the plane=\mid F_y\mid=F\cdot r=-8j(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)

The force perpendicular to the plane=4N

Therefore, F_y=4(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)

Sum of two component of force=F_x+F_y=4\sqrt 3(\frac{1}{2}i-\frac{\sqrt 3}{2}j)+4(-\frac{\sqrt 3}{2}i-\frac{1}{2}j)

Sum of two component of force=2\sqrt 3i-6j-2\sqrt3 i-2j=-8j

Hence,sum of two component of forces=Total force.

6 0
3 years ago
he owner of a produce stand is selling bunches of grapes, priced by the pound. She rounded each measurement to the nearest \dfra
zavuch27 [327]
Yes I agree I don’t have a good night I have no idea what I am doing lol I just don’t have a problem I don’t
6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%5Csqrt%5B3%5D%7B8%7D%20%7D%7B27%7D%20" id="TexFormula1" title=" \frac{ \sqrt[
Verizon [17]

Answer:

0.0740R

Step-by-step explanation:

The Number is repeating.

4 0
3 years ago
2/5(r-2)=3/20(r-4)<br> What is r?
Luden [163]
R equals approximately 4/5
5 0
3 years ago
Read 2 more answers
Other questions:
  • Simplify: 3[2(6 + 4)-8]+8÷2
    7·1 answer
  • The table shows the change in the low temperature in albany compared to the day before
    7·1 answer
  • Rewrite in simplest radical form 1/x^-3/6
    15·1 answer
  • The value of a piece of land is $500 an acre. The price per acre is expected to increase 7% per year. Which function models the
    7·1 answer
  • 70 POINTS QUESTION ATTACHED (actually attached this time lol)
    8·2 answers
  • Use the distributive property to write the next step in simplifying the equation. Use the asterisk symbol (*) to represent multi
    13·1 answer
  • What is 1+1? I mark Brainly
    10·2 answers
  • HELP! need fast! will mark brainliest! 15 pts!<br> thx!
    6·1 answer
  • After watching the squirrels at the local park for several days, Sergei asks his science teacher the following question: "Do mor
    7·1 answer
  • Two sides of a parallelogram are 5.8m and 8.2m long. Find the perimeter​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!