HE is 1/3 the length of HG , HE=x-3 and HG=4x-15 find HE

Answers

Answer 1

Answer:

x=24

Step-by-step explanation:

HE= 1/3(HG)

x-3=1/3(4x-15)

3x-9=4x-15

-x=-24

x=24

Answer 2

Answer:

HE=3

Step-by-step explanation:

Equations

With the data provided, we can set up an equation. Then we need to solve the equation. Finally, we use the just-found value of x to calculate HE.

Data:

HE=1/3 HG

HE=x-3

HG=4x-15

Replacing the last two equations in the first:

x-3=1/3(4x-15)

Multiply both sides by 3:

3(x-3)=4x-15

Operate:

3x-9=4x-15

Moving x's to the left and numbers to the right:

3x-4x=-15+9

Joining like terms:

-x=-6

Multiply by -1:

x=6

Since HE= x-3:

HE=6-3

HE=3


Related Questions

In Mrs. Bishop’s closet, there are 10 shirts and 15 skirts.
(a) Find the simplified ratio of shirts to skirts.

(b) If the ratio of shirts to skirts doesn’t change, but now the closet has 75 items in it. How many skirts will there be?

Answers

Answer:

(a) 2/3

(b) 45

Step-by-step explanation:

(a)

The "ratio of shirts to skirts" means "the number of shirts divided by number of skirts."

10 shirts

15 skirts

shirts : skirts = 10/15 = 2/3

Answer: 2/3

(b)

In the simplified ratio, there are 2 shirts for every 3 skirts.

Add 2 + 3 = 5.

The ratio of skirts to total number of items of clothing is 3:5.

There are 3 skirts to each 5 items of clothing.

Set up a proportion.

3/5 = x/75

5x = 3 * 75

x = 3 * 15

x = 45

Answer: 45

HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!HEEEEEEELLLLLLPPPPPPPP!!!
THIS IS DUUEEEE TTTOOOODDDAAAYYYYY.
Question 1:
-|7-2x|+11= -8
Question 2:
9-7|-x-3|= -61
Question 3:
13|-2x+1|-10=159

Answers

Answer:

-|7-2x|+11= -8

x=-6 0r x=13

9-7|-x-3|= -61

x=-13 or x=7

13|-2x+1|-10=159

x=-6 or x=7

Step-by-step explanation:

-|7-2x|+11= -8

-|7-2x|=-8-11

either :

7-2x=-19

-2x=-19-7

x=-26/2

x=13

Or: 7-2x=19

-2x=19-7

-2x=12

x=-12/2

x= - 6

9-7|-x-3|= -61

9−7(|−x−3|)=−61

−7(|−x−3|)=−61-9

−7(|−x−3|)=−70

|-x-3|=-70/-7

|-x-3|=10

either :

-x-3=10         or -x-3=-10

-x=13                   -x=-7

x=-13                    x=7

13|-2x+1|-10=159

13|-2x+1|=159+10

13|-2x+1|=169

|-2x+1|=169/13

|-2x+1|=13

either                                          or

-2x+1=-13                                     -2x+1=13

-2x=-14                                        -2x=12

x=-14/-2                                        x=12/-2

x=7                                               x=-6

What is the equation of the line that passes through the point (-2,5) and has a slope of -6

Answers

Answer:

y = -6x - 7

Step-by-step explanation:

y = mx + b

5 = -6(-2) + b

5 = 12 + b

b = -7

y = -6x - 7

What is 938,492,948,934,895*929,038,292,839,283,892,948,394,839

Answers

Answer:

8.7189589e+41

Step-by-step explanation:

Calculator

Answer:

i do not understand the question

explain

Step-by-step explanation:

Help ! I’ll mark you brainly

Answers

Answer:

There you go :)

Hope this helped you

<3

Red

Shawna wants to purchase some shorts and a few pairs of socks. The shorts cost $10 and a pair of socks cost three dollars. Shawna can spend them no more than $45.

Let’s see represent the number of shorts purchased and Kay represent the number of pairs of socks purchased.

Which in quality represents the situation?

Answers

Answer:

The answer - C

Step-by-step explanation:

c- number of shorts

k - number of socks

10 shorts and 3 socks

10c+3k

no more than $45

no more than is a characteristic of less than or equal to.

10c+3k ≤  45

And obviously, that isn't an answer choice so you have to switch the sign so it looks like this:

45≥10c+3k

Ming li spent $15 at the movies. She then earned $30 babysitting. She spent $12 at the bookstor. She now has $18 left. How much money did ming li have to begin woth

Answers

Answer:

$15

Step-by-step explanation:

30 - (12+15)

30-27=3

18-3=15

Hope this helps ;)

Spent total 27
Earned total 30
Left 18

15 + 30 = 45
45 - 27 = 18

She started off with 15

Speedie ran the 200 meter race in 25.5 seconds. How much of an hour did it take Speedie to run
the race? 1.0 hour = 3600.0 seconds

Answers

Answer:

Speedie ran the race in 0.708(3)% of an hour, the 3 in the parentheses means the 3 repeats forever

Step-by-step explanation:

We have 25.5/3600, and when we convert it to a decimal, we have 0.00708(3), the 3 in the parentheses means the 3 repeats forever. To convert it to percentage, we multiply it by 100, to get 0.708(3). Hope it helps!

Point G(-3,2) is translated using the rule (x+10, y-6). What is the x-coordinate of G'?
Enter your answer in the box.

Answers

Answer:

the anser is 7 :)

Step-by-step explanation:

Which polynomial is in standard form?
2x-3x+ 10x
-16x2-9x+12
15x-6x2+3
-7x?+ 9x9 - 11x

Answers

Answer:

[tex]-16x^2-9x+12[/tex]

Step-by-step explanation:

[tex]2x-3x+ 10x[/tex]

[tex]-16x^2-9x+12[/tex]

[tex]15x-6x^2+3[/tex]

[tex]-7x+ 9x^9 - 11x[/tex]

Standard form is when the polynomial's terms's degrees go down so the highest power is the first and the lowest is the last.

We see that the first expression can be more simplified so that isn't right.

We see that the second expression is in standard form so that might be right.

We see that the third expression has the highest power as the second term so that is wrong

We see that last expression is the same as the third one so that is also wrong.

We can conclude that [tex]-16x^2-9x+12[/tex] is the correct one or in standard form.

(5a^2 + 3) (4a^2 + 3)

Answers

Answer:

204+272+9

Step-by-step explanation:

7 What is the unit rate of miles to gallons?

Answers

  Example           Rate               Read 68 miles in 1 hour      68 miles1 hour         68 miles per hour 36 miles to 1 gallon    36 miles1 gallon     36 miles per gallon

Hope this helps!

Find the extreme values of f on the region described by the inequality.
f(x, y) = e−xy; x2 + 4y2 ≤ 1

Answers

Answer:f(x, y) = e

−xy. For the interior of the region, we find the critical points:

fx = −ye−xy

, fy = −xe−xy, so the only critical point is (0, 0), and f(0, 0) = 1.

For the boundary, we use Lagrange multipliers.

g(x, y) = x

2 + 4y

2 = 1 ⇒ λ∇g = h2λx, 8λyi, so setting ∇f = λ∇g we get

−ye−xy = 2λx and −xe−xy = 8λy. The first of these gives e

−xy = −2λx/y,

and then the second gives −x(−2λx/y) = 8λy ⇒ x

2 = 4y

2

. Solving this

last equation with the constraint x

2 + 4y

2 = 1 gives x = ± √

1

2

and y = ±

1

2

2

.

Now f

± √

1

2

, ∓

1

2

2

= e

1/4 ≈ 1.284 and f

± √

1

2

, ±

1

2

2

= e

−1/4 ≈ 0.779.

The former are the maxima on the region and the latter are the minima.

Step-by-step explanation:

Derik earns $10.00 per hour. He works 35 hours per week. How much will he earn in two weeks? If he spends $50, how much will Derik have left?

Answers

Answer:

650

Step-by-step explanation:

so the way I did this was by adding how much he works per week which is 35 per week. so he works 70 hours in 2 weeks. he earns 10 dollars per hour. so 10 times 70 you get 700 but he spends 50. so 700 minus 50. you get 650. he has 650 dollars left.

solve for brainliest A keem measured the capacity of a glass as
2 7 0 mL and the capacity of a Th e rm o s® a s
1 L. He said that the ratio 270 :1 compare s
the capacity of the glass with the cap a c i t y
of the Th e rm o s®. Is his reasoning corre c t ?
E x p l a i n .

Answers

Answer:

[tex]his \: reasoning \: is \: correct.[/tex]

Step-by-step explanation:

[tex]since \: the \: ratio \: of \: the \: glass \: to \:that \\ \: of \: the \: thermos \: is \: in \: the \: fraction : \\ \frac{2 7 0 mL }{1mL} \: which \: is \:270 mL : 1mL \\ then \: the \: keem \: is \: right.[/tex]

На сколько процентов уменьшится объем прямоугольного параллелепипеда, если его длину уменьшить на 25%, а ширину и высоту на 20%?

Answers

Answer:

I dunno what your saying.

Step-by-step explanation:

Please us English

Solve the following system of equations.
(15 Points)
5x + 10 = -5y & x + y = -2

Answers

Answer:

x = -2-y

Step-by-step explanation:

What is the slope of this graph

Answers

Answer:

-7/8

Step-by-step explanation:   If you use RISE/RUN, then you will see that they RISE is 7 and the RUN is 8 so therefroe,you would get 7/8. The graph is pointing down so, it is negative. Overall, your answer should be -7/8.      

If = and x > 0 what is the value of x ?

Answers

O valor de x é 45º

Explicação:Confia no pai

An example of multistage samples

Answers

Answer:

Multistage sampling divides large populations into stages to make the sampling process more practical.

Step-by-step explanation:

Let’s say you wanted to find out which subjects U.S. school children preferred. A population list a list of all U.S. school children would be nearimpossible to come by, so you cannot take a sample of the population.

An example of multistage samples is the Gallup poll.

What is the multistage sample?

In this, we have to drawn the sample that should arise from the population that used the smaller and smaller group at every stage. It is applied for collecting the data from the large, and the group of people in national surveys.

The Gallup poll used multistage sampling. Like it randomly select a particular no of area codes after this randomly sample a no of phone numbers from within each area code.

Learn more about sample here: https://brainly.com/question/9555918

Write 0.6 as a percentage.

Answers

Answer:

60%

Step-by-step explanation:

all you need to do is multiply this by 100 (move two decimal places to the right).

0.6--> 60

60 percent

Answer: 60%

Explanation: .6 x 100 = 60

y = 6 sin(x) y = 6 cos(x) 0 ≤ x ≤ π/4 about y = −1

Answers

are you speaking another language

find the value of x in the figure shown.
(Hint: the sum of angle measures in any triangle is 180
2x-10
(4x-80)
4x-10

Answers

Answer:

28

Step-by-step explanation:

2x +4x +4x-10 -80-10

10x-100=180

10x=180+100

10x=280

10x/10=280/10

x=28

please help me with this Geo question

Answers

Answer:

x = 31

Step-by-step explanation:

4x + 38 = 2x + 10 + 90

2x = 62

x = 31

The pmf of the amount of memory X (GB) in a purchased flash drive is given as the following. x 1 2 4 8 16 p(x) 0.05 0.15 0.25 0.30 0.25 (a) Compute E(X) (in GB). (Enter your answer to two decimal places.) GB (b) Compute V(X) (in GB2) directly from the definition. (Enter your answer to four decimal places.) GB2 (c) Compute the standard deviation of X (in GB). (Round your answer to three decimal places.) GB (d) Compute V(X) (in GB2) using the shortcut formula. (Enter your answer to four decimal places.) GB2

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data :

x: ____ 1____ 2____ 4____ 8____ 16

p(x): _0.05_ 0.15__ 0.25__0.30__ 0.25

E(X) : Σ[(X). P(X)]

Σ(1*0.05) + (2*0.15) + (4*0.25) + (8*0.30) + (16 * 0.25)

= 7.75

B)

E(x) = u = 7.75

Var(X) = E[(x - u)²*p(x)] = (1 - 7.75)^2 * 0.05 + (2 - 7.75)^2 * 0.15 + (4 - 7.75)^2 * 0.25 + (8 - 7.75)^2 * 0.30 + (16 - 7.75)^2 * 0.25 = 27.7875

C)

Standard deviation (s)

s = √Var(x)

s= √27.7875

s = 5.271

D)

VAR(X) = E(X²) - (E(X))²

E(X²) = Σx²*p(x)

E(X²) = Σ(1^2 * 0.05 + 2^2 * 0.15 + 4^2 * 0.25 + 8^2 * 0.30 + 16^2 * 0.25) = 87.85

V(X) = E(X^2) - (E(X))^2 = 87.85 - 7.75^2 = 27.7875

A container holds 13 pencils, 5 black pens, and 3 blue pens. What is the ratio, in fraction form, of pens to all writing tools?

Answers

Answer:

8/21

Step-by-step explanation:

The group of points {(0, 1), (0,5), (2, 6), (3, 3)}
is not a function, but the group of points {(1, 4),
(2, 7), (3, 1), (5, 7)} is a function. What do you
notice about the two groups of points? What do
you think it means to be a function?

Answers

Answer:

each x point should be mapped to a y point

Step-by-step explanation:

How many 5/16 are in. 1. 9/16

Answers

Answer:

The answer is 1.8.

Step-by-step explanation:

What is 3/4 of a dollar forgot will mark Brainliest if right

Answers

Answer:

0.75 U.S. dollars

Step-by-step explanation:

If you're talking U.S dollar. It's 0.75 cents.

This doesn't seem like college work.

Can someone help
Please

Answers

Answer:

Step-by-step explanation:

.

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