(-3/4)x + 25 = (1/8)x - 3
Find x and show your work

No links please!

9514 1404 393

Answer:

  11 73/78 ≈ 11.9359   (not 14)

Step-by-step explanation:

The similarity statement tells us ...

  QS/QR = FG/FH

  QS = QR·FG/FH

  13x -14 = 154(55/60) = 847/6

Adding 14 = 84/6, we have ...

  13x = 931/6

  x = 931/78 = 11 73/78 . . . . . . . divide by 13

__

Comment on the question

You get a nice integer answer for x if the similarity statement is written ...

  ∆FGH ~ ∆QRS . . . . . . . note the letters are in alphabetical order

Then you have ...

  QS/QR = FH/FG

  13x -14 = 154(60/55) = 168

  13x = 182

  x = 14

This nice answer to a nice similarity statement leads us to believe the question has an error in it.

We suspect you are expected to provide x=14 as the answer, even though that is NOT the answer to the question as written. You may want to discuss this with your teacher.

Answer:

im sorry you need to take a better pic i can see the graphs

Answer:

about 2

Step-by-step explanation:

you see there is a chance you might not get 10 but i belive its 2 times you will

roll a ten bc its all just random

Answer:

graph D. it shows how much has you have at the beginning and ascends down to what you have left at 500

Answer:

Graph D

Step-by-step explanation:

With the other graphs, the information is too spread out or confusing. Graph D sums it up properly and makes it easy to read and understand.

Answer:

D?

Step-by-step explanation:

I don't really know for sure but I think it's D..Im super sorry if I get this wrong I'm not that good at math.

Answer:

x (blue circle thing) = 46

y (dna) = -63

z (molecules) = 52

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

5*4=20

5*5=25, but it is bigger than 24.

So the ans is 20

Answer:

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

8*2*1=16

Answer:

203 dollars

Step-by-step explanation:

29 x 7

Answer:

C. 27.5

Step-by-step explanation:

since 24 and 31 are one standard deviation below or above the mean, we could subtract the two values and divide them by two to help find the mean.

we would first subtract the two values

we would then divide that number by 2 since we are finding the average between the two numbers

using the 3.5, you add it to the lower value (24) and subtract it from the higher value (31)

since both calculated numbers were equal, we know that we calculated the mean correctly.

Length of diagonals are :

[tex]D_1 = \sqrt{ (-5-(-1))^2 + (1-(-2))^2 }\\\\D_1 = 5\ units[/tex]

[tex]D_2 = \sqrt{(-2 -2 )^2 + (5-2)^2}\\\\D_2 = 5 \ units[/tex]

Now, Slope of both the diagonal is :

[tex]m_1 =\dfrac{1-(-2)}{-5-(-1)} \\\\m_1 = -\dfrac{3}{4}\\\\m_2 = \dfrac{5-2}{-2-2}\\\\m_2 = -\dfrac{3}{4}[/tex]

Now, product of slopes are :

[tex]m_1 \times m_2 = \dfrac{-3}{4} \times \dfrac{-3}{4}\\\\m_1 \times m_2 = \dfrac{9}{16}[/tex]

Since, the product of slope is not equal to -1 . It means that the slopes are not perpendicular.

Therefore, this quadrilateral is not square.

Answer:

slope is 1/2

Step-by-step explanation:

Answer:

Adam took 132 minutes longer than Steve.

Step-by-step explanation:

Let's find the time that takes Steve and Adam to complete the race. We will use the equation:

[tex] V = \frac{d}{t} [/tex]              

Where:

d: is the distance = 26 miles

t: is the time =?

V: is the speed

For Steve we have the following time:

[tex] t_{s} = \frac{d}{V_{s}} = \frac{26 mi}{4 mi/h} = 6.5 h*\frac{60 min}{1 h} = 390 min [/tex]

And the time of Adam is:

[tex] t_{a} = \frac{d}{V_{a}} = \frac{26 mi}{3 mi/h} = 8.7 h*\frac{60 min}{1 h} = 522 min [/tex]

So, the difference between the time of Adam and Steve is:

[tex] \Delta t = t_{a} - t_{s} = 522 min - 390 min = 132 min [/tex]

Hence, Adam took 132 minutes longer than Steve.

I hope it helps you!

Answer:

y = 1/2x + 0

Step-by-step explanation:

Answer:

$56 or $4 left over from $60

$ 56 o $ 4 sobrantes de $ 60

Step-by-step explanation:

4 2/3 pizzas would cost $56

4 2/3 pizzas costarían $ 56

Answer:

[tex]\frac{5}{9}[/tex] in

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length )

Given A = [tex]\frac{25}{81}[/tex] , then

s² = [tex]\frac{25}{81}[/tex] ( take the square root of both sides )

s = [tex]\sqrt{\frac{25}{81} }[/tex] = [tex]\frac{\sqrt{25} }{\sqrt{81} }[/tex] = [tex]\frac{5}{9}[/tex]

In this case I believe you would add 25 to both sides. The -25 +25 would cancel out and then +25 would be on the right.

Answer:

Answer:

Weight of each large box: 18.25kg

Weight of each small box: 13.25kg

Step-by-step explanation:

For this question, we have two unknowns, but we can solve them as we are given two equations.

If we use the variables 'L' for Large and 'S' for small, we  an write out the information given to us as equations:

3L + 5S = 121

6L + 2S = 136

Now we can solve these simultaneous equations by multiplying one of them by a constant so that one of the variable co-efficients are the same so we can cancel them. We can see here that we can easily double the first equation which would result in both having 6L:

2(3L + 5S) = 2(121)

=> 6L+10S=242

Now that we have one term which is the same, we can subtract one equation from the other:

  6L+ 10S = 242

- (6L + 2S = 136)

------------------------

=>0L + 8S = 106

Now we can solve for S:

8S/8 = 106/8

S = 13.25

And use this value of S to solve for L:

3L + 5(13.25) = 121

3L + 66.25 = 121

3L + 66.25 - 66.25 = 121 - 66.25

3L = 54.75

3L/3 = 54.75/3

L = 18.25

Hope this helped!

Answer:

[tex]64 m^{2}[/tex]

Step-by-step explanation:

10 x 4 = 40

8 x 3 = 24

40 + 24 = 64

Mark as brainllest

The Ball Rolls Downhill, It's Kinetic Energy Increases And It's Potential Energy Maximum.

Hope Helps! :)

[tex] \: \: [/tex]

Answer:

A. 13

B. 2

Step-by-step explanation:

You use order of operations.

A. 4x2=8+12=20-7=13

B. 2x-3=-6+8=2

Answer:

20 gallons

Step-by-step explanation:

set up proportion

15/x=75/100

cross multiply

75x=1500

x=20 gallons

Answer:

it's -63

good luck if you want explanation comment

Answer: 63

Step-by-step explanation:

All triangles' angles added up should be 180 degrees, so 70+47=117 and 180-117=63.

180 = a+b+c

180 = 47 + 70 + c

180 - 47 - 70 = c

or,

180 - (47+70) = c

Note: your teacher may not want you to enter "feet" and instead may just want the number only.

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Work Shown:

tan(angle) = opposite/adjacent

tan(40) = h/20

20*tan(40) = h

h = 20*tan(40)

h = 16.7819926 which is approximate

h = 16.8

The streetlamp is approximately 16.8 ft tall.

When using your calculator, make sure it's in degree mode. One way to check is to compute something like tan(45) and you should get 1 as a result.

Answer:

22. acute triangle

23. right triangle

24. equilateral triangle

25. right triangle

Step-by-step explanation:

let me know if any of these are wrong