Here is a diagram and its corresponding equation. Find the solution to the equation and explain your reasoning 38 x+7 x+7 x+7 x+7 4(x + 7) = 38​

Answers

Answer 1

Answer:

x = (-158)/87

Step-by-step explanation:

Solve for x:

38 x + 7 x + 7 x + 7 x + 7×4 (x + 7) = 38

Hint: | Multiply 7 and 4 together.

7×4 = 28:

38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 38

Hint: | Group like terms in 38 x + 7 x + 7 x + 7 x + 28 (x + 7).

Grouping like terms, 38 x + 7 x + 7 x + 7 x + 28 (x + 7) = 28 (x + 7) + (38 x + 7 x + 7 x + 7 x):

28 (x + 7) + (38 x + 7 x + 7 x + 7 x) = 38

Hint: | Add like terms in 38 x + 7 x + 7 x + 7 x.

38 x + 7 x + 7 x + 7 x = 59 x:

28 (x + 7) + 59 x = 38

Hint: | Distribute 28 over x + 7.

28 (x + 7) = 28 x + 196:

28 x + 196 + 59 x = 38

Hint: | Add like terms in 59 x + 28 x + 196.

28 x + 59 x = 87 x:

87 x + 196 = 38

Hint: | Isolate terms with x to the left hand side.

Subtract 196 from both sides:

87 x + (196 - 196) = 38 - 196

Hint: | Look for the difference of two identical terms.

196 - 196 = 0:

87 x = 38 - 196

Hint: | Evaluate 38 - 196.

38 - 196 = -158:

87 x = -158

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 87 x = -158 by 87:

(87 x)/87 = (-158)/87

Hint: | Any nonzero number divided by itself is one.

87/87 = 1:

Answer: x = (-158)/87


Related Questions

can someone tell me if the left side is right? if not whats the correct way? also help me with the right side please :/​

Answers

Answer:

Right: Y=52

Left: X=19

Step-by-step explanation:

Left side is correct: x = 19


Right side:
y = 3(19) - 5 and y = 2(19) + 14

y = 57 - 5 and y = 38 + 14

y = 52

Kelly's team won 85% of the games they played in a season. The team lost 12 games. How many games did Kelly's team win in the season?

Answers

Answer:

68 games

Step-by-step explanation:

According to the scenario, computation of the given data are as follows,

Games won = 85%

Game lost = 12

Here, 100% - 85% = 12

15% = 12

or 1% = 0.8

So, total games played (100%) = 80 games

Now, number of games won = Total games - Games lost

= 80 - 12

= 68 games

Hence, Kelly's team wins 68 games in the season.

A college has thirteen instructors qualified to teach a special computer laboratory course which requires two instructors to be present. How many different pairs of instructors could there be?

Answers

Answer:

156 different pairs will be there.

Step-by-step explanation:

As the order is  essential as we need different pairs therefore permutations will be used.

A permutation is any ordered subset of the objects r selected with regard to their order, from the set of  n distinct objects. It is given by nPr where n> r

Total number is 13 and required number is 2

n= 13 and r= 2

13 P2= 156 possible combinations.

A combination is any subset of the objects r selected without regard to their order, from the set of  n distinct objects. It is given by nCr where n> r

what is the greatest common factor of 48x^2 and 32x^3 ? ​

Answers

So the greatest common is 16x^2

someone pls help asap :))

Answers

Answer:

Its probably B

Step-by-step explanation:

Sorry if im wrong

A sphere has a volume of V = 1764 in. Find its surface area.

Answers

Answer:

The surface area is 706.02

Step-by-step explanation:

SA = 224.4pi (704.62)

Alternatively (706.02 without rounding)

First, we need to find the radius of the sphere with the following equation

[tex]r = (3\frac{V}{4\pi } )^\frac{1}{3} \\r = (3\frac{1764}{12.56} )^\frac{1}{3} \\r = (3*140.45)^\frac{1}{3} \\r = (421.35)^\frac{1}{3} \\r = 7.49[/tex](pi as 3.14)

Now we can find the surface area using the following equation

[tex]SA = 4r^2\pi \\SA = 4(56.1)\pi \\SA = 224.4\pi \\[/tex]

solve the equation
x/2.1=4.1/3.5​

Answers

Answer:

X=2.46

Step-by-step explanation:

PLS HELP ASAP ILL GIVE BRAINLIEST
find the base of a parallelogram with a height of 15m and an area of 330m​

Answers

Answer:

22

Step-by-step explanation:

What you need to do to find the base is divide the area by the height, which would be 330/15! Hope this helps! :)

4x – 4 = – 12
X = ?
What is X ?

Answers

Answer:

X=-2

Step-by-step explanation:

4x-4=-12

Add 4 on both sides

+4 +4

4x=-8

Divide by 4 on both sides

÷4 ÷4

X=-2

Answer:

-2

Step-by-step explanation:

4x-4=-12

4x=-12+4

4x=-8

x=-8/4

x=-2

which model could represent the expression below:
3 divided by 4/7

Answers

I believe the answer would be D.

Answer:

Answer is B . I took the quiz and got a 100.

Step-by-step explanation:

The area of the rectangular school garden is 24 square units. The length of the garden is 8 units. What is the length of the fence needed to enclose the entire garden?

Answers

22 units. You are finding the perimeter here.
24/8=3
3+3+8+8=22
Your answer is 22 units

Find the volume of the sphere. Round your answer to the nearest tenth.

Answers

Answer:

See below.

Step-by-step explanation:

The formula for the volume of a sphere

= 4/3  π  r^3 where r = the radius.

So for number 1:

V = 4/3 π (5)^3

= 523 .60 mm^3   to nearest hundredth.

The others are solved in exactly the same way except where the diameter is given as in number 4 and 5 you get the radius r by dividing the diameter by 2. So in number 4,  r = 30/2 = 15.

what is the area of this trapezoid

h=4 b2=5 b1 equal 10

Answers

Answer:

5+10=15

15×4÷2

60÷2

=30

Look at this figure: What is the shape of its bases?

Answers

The shape of its bases is D. Triangle
They are triangle
D is correct.

What is the volume of the pyramid? 2.4 cm3 3.6 cm3 4.8 cm3 7.2 cm3

Answers

Answer:

C 4.8cm^3

Step-by-step explanation:

The volume of the pyramid is 4.8 cm³.

Given that a pyramid with base side length is 2 cm, we need to find the volume of the pyramid,

Volume of a pyramid = 1/3 × base area × height

So,

We have ∠ABC = 45°, in right triangle ΔACB,

Since ∠ABC = 45° therefore, ∠BAC = 45°,

So, AC = BC = 3.6 cm,

So, the volume = 1/3 × 2² × 3.6

= 4 × 1.2

= 4.8

Hence the volume of the pyramid is 4.8 cm³.

Learn more about Volume click;

https://brainly.com/question/33501668

#SPJ2

Netflix charges David $15 per month for a membership, plus a one time $5 fee to stream on his phone. How many months will David have his membership if Netflix charges David $50?

Answers

Answer:

David will have his membership for 3 months.

Step-by-step explanation:

For the first month + the one-time mobile fee, that is $15 for one month + $5 for the fee.

So far, he has been charged $20.

Another month's cost is $15 more, which will bring his total cost to $35.

Another month's cost is $15 more, which will bring his total cost to $50.

If Netflix charges David $50, that means he will have paid the mobile fee, and have had his membership for 3 months.

Find the area of this parallelogram. Be sure to include the correct unit in your answer.

Answers

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply.

Answer:

A = 126 cm²

Step-by-step explanation:

The area (A) of a parallelogram is calculated as

A = bh ( b is the base and h the perpendicular height )

Here b = 14 and h = 9 , then

A = 14 × 9 = 126 cm²

The ages in years of eight boys are 14,
14.5, 12, 11.5, 15, 13, 10.5, 13.5. What is
their average age?
A. 14 B. 13
C. 12 D. 11​

Answers

Answer:

B) 13

Step-by-step explanation:

Average age means to calculate mean:

Mean = (Sum of all numbers)/(Number of numbers)

Mean = (14 + 14.5 + 12 + 11.5 + 15 + 13 + 10.5 + 13.5)/8

Mean = (104)/8

Mean = 13

round to 1000 and estimate the sum 11904+3808​

Answers

Answer:

16000

Step-by-step explanation:

Simply add the two roughly in your head and round up or down to nearest thousand

Help on this complete the square problem.


[tex]x^2+3x+7[/tex]

Answers

X2+3x+7=0 that’s the answer

Given the function f(x)=2|x+6|-4,for what values of x is f(x)=6

Answers

Answer:

[38]

Step-by-step explanation:

Marco picked answer A for the following problem. Why is that not the correct answer? (NO LINKS)

Answers

Answer:

This is not correct because the organic rice line in Graph A is increasing more than the conventional rice line. This is why the x- and y-labels are important: organic rice in Graph A; you are able to get more pounds for the same amount of weight. If organic rice costs more, you should get less pounds of rice. Graph B shows this relationship because the conventional rice line is higher than the orangic rice line, which indicates that you can get more conventional rice than organic rice at the same price, which is what the question says.

can someone help me please

Answers

Answer:

3.5

Step-by-step explanation:

If you divide x from y on each row, you will always get 3.5

helppppppppppppppppppppppppppp

Answers

Answer: A

Step-by-step explanation:

solve 6x + 6 = 3x - 6

Answers

Answer:

x = -4

I hope it's helps you t

Answer:

x = -4

Step-by-step explanation:

Simplifying

6x + 6 = 3x + -6

Reorder the terms:

6 + 6x = 3x + -6

Reorder the terms:

6 + 6x = -6 + 3x

Solving

6 + 6x = -6 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

6 + 6x + -3x = -6 + 3x + -3x

Combine like terms: 6x + -3x = 3x

6 + 3x = -6 + 3x + -3x

Combine like terms: 3x + -3x = 0

6 + 3x = -6 + 0

6 + 3x = -6

Add '-6' to each side of the equation.

6 + -6 + 3x = -6 + -6

Combine like terms: 6 + -6 = 0

0 + 3x = -6 + -6

3x = -6 + -6

Combine like terms: -6 + -6 = -12

3x = -12

Divide each side by '3'.

x = -4

In 1994 , about 493 CDs were sold for every 9 albums . A large music store sold 912 albums . About how many were sold (to the nearest CD?

Answers

Answer:

49,886

Step-by-step explanation:

A triangle has angle measurements of 71°, 33°, and 76º. What kind of triangle is it?

Answers

Answer:

A triangle that has three acute angels is called an acute triangle.

Step-by-step explanation:

Oblique triangle

Explanation

Question
The volume of a cube is 0.125 in^3 What is the length of one side?

Answers

Answer:

0.5 inches

Step-by-step explanation:

Volume of a cube = L × L × L = L³

0.125 = L³

L = ³√0.125

L = 0.5 inches

is this rational or irrational?

Answers

Answer:

rational

hope it helps.

HELP PLEASE. find the volume of the figure. (3.14 as pi)

Answers

Answer:

The volume of the figure is 720 cm^3

Step-by-step explanation:

Here, we want to find the volume of the figure

mathematically, we can have this as the product of the base of the figure and it’s height

the base is a rectangle and the area is the product of the side lengths

Mathematically, we have this as;

9 * 20 = 180 cm^2

So the volume here can be obtained by simply multiplying by the height of the shape

we have this as;

180 cm^2 * 4 cm = 720 cm^3

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