Solve and check the equation.[tex]\frac{x}{10}=\frac{5x}{7} -43[/tex]

Answers

Answer 1

Answer:

x = 70

Step-by-step explanation:

Step 1: Simplify both sides of the equations.

[tex]\frac{x}{10} = \frac{5x}{7}-43[/tex] [tex]\frac{1}{10}x=\frac{5}{7}x-43[/tex]

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

[tex]\frac{1}{10}x- \frac{5}{7}x = \frac{5}{7}x - 43 - \frac{5}{7}x[/tex] [tex]\frac{-43}{70}x = -43[/tex]

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

[tex]\frac{-43}{70}x * \frac{70}{-43} = -43*\frac{70}{-43}[/tex] [tex]x = 70[/tex]

Step 4: Check if solution is correct.

[tex]\frac{(70)}{10}=\frac{5(70)}{7} -43[/tex] [tex]7 = \frac{350}{7} - 43[/tex] [tex]7 = 50 - 43[/tex] [tex]7 = 7[/tex]

Therefore, x = 70.


Related Questions

Write an inequality that represents the graph.
-5
-4 -3
1
2
3
4
5
Inequality: x

Answers

Answer:

x<= 4

Step-by-step explanation:

Rate as BRAINLIEST

So we have 4 with solid circle so its an included number.

we get x is less than or equal to 4

What is the length of segment BC?
14
100
196
10

Answers

D)10
8*8=64
6*6=36
64+36=100
100 squared is 10

Answer:

196 / 10

Step-by-step explanation:

Not sure but hope it helps

There are 3 roses in a vase of 11 flowers. The rest are daisies.
What is the ratio of all flowers in the vase to daisies?
What is the ratio of roses to daisies?

Answers

Answer:

ratio of all flowers in the vase to daisies,= 11:8

ratio of roses to daisies= 3:8

Step-by-step explanation:

the total number of flowers in the vase is 11

but there are 3 roses,

therefore the number of daisies is 11-3 which is 8

the infor on the rations can be directly derived from this figures.

Answer: the person above me is wrong, the answers are 8:11 and 8:3

Step-by-step explanation:

Pls help I’ll add extra points

Answers

Answer:

Nosotros somos de Espana.

Maria es ed Mexico.

Yo soy de Venezuela.

Ustedes son de Cuba.

El es de Costa Rica.

please help me i dont know what to do

Answers

7

i dont know if this is right or wrong

Answer:

1977326743

Step-by-step explanation:

7x7x7x7x7x7x7x7  times 7x7x7 times 7x7x7x7

divided by 7x7x7x7x7x7x7x7x7  times 7x7x7x7x7

help me guys I don't know what to do?​

Answers

Answer:

The y-coordinate of the solution is [tex]-8[/tex].The ordered pair that is the solution to the system lies in Quadrant IV.The x-coordinate of the solution is [tex]9[/tex].

Step-by-step explanation:

Graph the equations and locate the intersection.

[tex](9,-8)[/tex]

How many solutions does this equation have?
5g + 4(-59 - 5) = -159 - 20

Answers

2
Either you cross multiply or follow the law of equation to solve it

-2=-5+z/-2
Solve for z

Steps on how to do this?

Answers

Answer: z=6

Explanation:
-2=-5+z/2
3=z/2
z=6

The next model of a sport car will cost 6.7%less than current model.the current model cost $46,000.how much will the price decrease in dollars?what will be the price of the next model

Answers

Answer:

$42,918

Step-by-step explanation:

There are basically a couple ways to do this

First way:

46,000 x 0.067 = 3,082

46,000 - 3,082 = 42,918

Second way

46,000 x (1 - 0.067)

46,000 x 0.933 = 42,918

Either way works; just use which one you prefer

f(x)=4x^2+2x-6.find the range of function f(x).

Answers

Answer:

[

25

4

,

)

,

{

y

y

25

4

}

Step-by-step explanation:

Question 21
>
This Test: 26 pts possible
Re:
More
X
Express the area of the figure, A, as a
function of one of its dimensions, X.
Write the function's equation as a
polynomial in standard form.
2x
x+10
x+2
4x
6x
2
A(x)= return (Simplify your answer. Do not factor.)
graph in whi
Eph. Cubic
aph.

Answers

Answer:

A(x) = 6x² + 26x

Step-by-step explanation:

A(x) = 4x ( x + 10 ) - 2x ( 8 ) + [tex]\frac{2x(x)}{2}[/tex] + [tex]\frac{2x(x+2)}{2}[/tex]

A(x) = 4x² + x² + x² + 40x - 16x + 2x

A(x) = 6x² + 26x

Write 0.25 as a fraction in simple form

Answers

Answer:

1/4

Step-by-step explanation:

hope it helped

If X = 3 units, Y = 3 units, and Z = 4 units, then what is the surface area of the right triangular pyramid shown above?​

Answers

The prism is not show in this problem. If you are dealing with regular triangle you use half base times height

Name the ordered pair that is 5 units to the right and 2 units down from (-3,4).

Answers

Answer:

Answer is: (2,2)

Step-by-step explanation:

Answer:

(2, 2)

Step-by-step explanation:

Moving right and left is the x-axis. Moving up and down is the y-axis. Moving right would be positive and moving left would be negative. Moving down would be negative and moving up is positive. In general, look at or visualize a coordinate plane.


(15 points) A random sample of 250 undergraduate students from a large university was found to contain 61 freshmen, 60 sophomores, 64 juniors, and
65 seniors.

Answers

The answer will be 64

Write the equation of the line in slope-intercept form The line is parallel to y + x =3 and passes through the point (-12, 0)

Answers

Step-by-step explanation:

The line is parallel to y + x =3

=> y = -x+3

the slope = -1

passes (-12, 0)

the equation would be :

y-0 = -1(x+12)

y = -x -12

Y=-x+12
Turn into mx+b form.
Y=-x+3
Plug in (-12,0)
0=-12+b
b=12
y=-x+12
It is negative X, because the slope has to be the same since it is parallel.

is 4/5 an integer, rational number, or whole number

Answers

Answer:

rational #

Step-by-step explanation:

Please dont delete my question i really need help

Select True or False for each statement.

Answers

Answer:

true

False

False

Step-by-step explanation:

if abc~ dec , what is the length of de? Please help

Answers

Answer:

B) 12

Step-by-step explanation:

Given:

ΔABC ~ ΔDEC

AB ~ DE

AC ~ DC

BC ~ EC

We will just use ratios and substitute DE as x:

[tex]\frac{AB}{AC} =\frac{DE}{DC} \\\\\frac{16}{20} =\frac{x}{15} \\\\20x=240\\\\x=\frac{240}{20} \\\\x=12[/tex]

DE = 12

The measure of the side DE of the triangle DEC will be 12. Then the correct option is B.

What is the triangle?

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees. If two triangles are similar, then the ratio of the corresponding sides will remain constant.

The triangles ABC and DEC are similar triangles. Then the ratio of the corresponding sides will be the same.

DE/AB = CD/AC

From the diagram, AB = 16, AC = 20, and CD = 15. Then the measure of the side DE will be given as,

DE/16 = 15/20

DE/16 = 0.75

DE = 16 x 0.75

DE = 12

The measure of the side DE of the triangle DEC will be 12. Then the correct option is B.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ5

After adding the ice, they noticed the soup became watery and did not taste very good. They wanted to figure out a way to quickly cool the soup but not water it down. They had two separate ideas. The older brother wanted to place the entire bowl into the freezer and let it sit for 2 minutes. The younger brother wanted to divide the soup into two smaller bowls and then place both of them in the freezer for 2 minutes. Describe how you could use science ideas and tools to decide which brother has the better method of cooling their soup. As you explain your answer, talk about energy and explain how it moved. You can include a diagram, but it must be explained with words.​

Answers

Answer: This is your opinion and is probably graded for you stating your opinion.

Step-by-step explanation:

If you use the older brothers method, your soup would not cool down as fast in 2 minutes, because it's a lot of soup in one bowl, just like how a cup of water would freeze faster than a whole lake. If you want your soup to completely cool down in 2 minutes, use the younger brothers method.

Hope this helped.

Evaluate the following linear equation for the given values y= -3x+1 and x is -5, -2, -1 and 4.

Answers

The answer : y = 16, 7, 4, -11

PLS HELP I WILL MARK YOU THE BRAINLIEST!!!
1.) 0.3v = 1.35
2.) 2.5c = 15.75
3.) -64.5g = -25.8
4.) -3.2a = -55.68

Answers

Answer:

1) [tex]v=4.5[/tex]

2)[tex]c=6.3[/tex]

3)[tex]g=0.4[/tex]

4)[tex]a=17.4[/tex]

For those who have images blocked:

1) v = 4.5

2) c = 6.3

3) g = 0.4

4) a = 17.4

Use the definition mtan=lim

Answers

(a) mtan refers to the slope of the tangent line. Given f(x) = 9 + 7x ², compute the difference quotient:

[tex]\dfrac{f(x+h)-f(x)}h = \dfrac{(9+7(x+h)^2)-(9+7x^2)}h = \dfrac{(9+7x^2+14xh+7h^2)-9-7x^2}h = \dfrac{14xh+7h^2}h[/tex]

Then as h approaches 0 - bearing in mind that we're specifically considering h near 0, and not h = 0 - we can eliminate the factor of h in the numerator and denominator, so that

[tex]m_{\rm tan} = \displaystyle \lim_{h\to0}\frac{f(x+h)-f(x)}h = \lim_{h\to0}\frac{14xh+7h^2}h = \lim_{h\to0}(14x+7h) = 14x[/tex]

and so the slope of the line at P (0, 9), for which we take x = 0, is 0.

(b) The equation of the tangent line is then y = 9.

5x + 2y, when x = 5 and y = -2

Answers

Answer:

21

Step-by-step explanation:

1. Simplify 5 × 5 to 25.

25 + 2 × -2

2. Simplify 2× −2  to −4.

25 − 4

3. Simplify.

21

Help? Please? Maybe?

Answers

Answer:

13/2

Step-by-step explanation:

The solution is in the attached file

Please help me with this question! Please and Thank you❤️

Answers

Answer:

[tex] \frac{\pi}{4} = 45° \\ \\ \frac{\pi}{6} = 30°[/tex]

[tex]( \cos( \frac{\pi}{4} ) + \sin( \frac{\pi}{6} ) ) ^{2} \\ \\ \\ {( \cos(45°) + \sin(30°) ) }^{2} \\ \\ \\ ( \frac{1}{ \sqrt{2} } + \frac{1}{2} ) ^{2} \\ \\ \\ (( \frac{1}{ \sqrt{2}} \times \frac{ \sqrt{2} }{ \sqrt{2}} ) + \frac{1}{2} )^{2} \\ \\ ( \frac{ \sqrt{2} }{2} + \frac{1}{2} )^{2} \\ \\ {( \frac{ \sqrt{2} + 1}{2} })^{2} \\ \\ \frac{( \sqrt{2} + 1)( \sqrt{2} + 1)}{ {2}^{2} } \\ \\ \\ \frac{2 + \sqrt{2} + \sqrt{2} + 1}{4} \\ \\ \\ = \frac{3 + 2 \sqrt{2} }{4} \\ \\ \\ = \frac{3 + 2(1.414)}{4} \\ \\ = \frac{3 + 2.828}{4} \\ \\ = \frac{5.828}{4} \\ \\ = 1.457[/tex]

I hope I helped you^_^

can I get help with this

Answers

Graph 1: Yes, Graph 2: Yes, Graph 3: No, Graph 4: No, Graph 5: No, Graph 6: Not entirely sure but I would say No.

what is the nth term rule for the sequence -5, -7 -9 -11 -13​

Answers

Answer:

an=-2n-3

Step-by-step explanation:

Super easy please help

Answers

To find the x-intercept, you need to see where the line intersects the x-axis, the horizontal line with numbers on it. The line intersects the x-axis at (2, 0). Therefore, the x-intercept is (2, 0).

To find the y-intercept, you need to see where the line intersects the y-axis, the vertical line with numbers on it. The line intersects the y-axis at (1, 0). Therefore, the y-intercept is (1, 0).

There are two ways to find the slope. The easiest one in my opinion is rise over run, but you can also use an equation too. I am going to be showing you the rise/run method, but you can also ask if you want the equation method as well. First of all, the line goes to the left, not the right, so we know that the slope is going to be negative. The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x). All you need to do is calculate the difference between the two points in the vertical direction (rise) and then divide it by the difference in the horizontal direction (run). I am going to choose point (1, 0) if I go up by 2 and over by 4, I'll get to the point (-4, 3) that also lands on the line. 2/4 is 1/2. Therefore, the slope is -1/2.

I hope this helps! Let me know if I got something wrong.

Find the slope between each pair of points.
(5, 6) and (6,5)

Answers

Answer

5-6/6-5

Step-by-step explanation:

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