2(15 + q ) = __ + 2q

Answer:

x = 26

Step-by-step explanation:

1. Information

One can partition this figure into three different parts, two congruent triangles, and one rectangle. To find the value of x, one has to find the base of the two triangles, and then the base of the rectangle. Since opposite sides are congruent, the base of the rectangles is 10. To find the base of the triangle, one has to use the Pythagorean theorem.

2. Base of the rectangle

Again, opposite sides are congruent, hence the base of the rectangle is equivalent to the top part. Hence the base is 10.

3. Base of the triangle

Use the Pythagorean theorem;

[tex]a^{2}+b^{2} = c^{2}\\a-leg\\b-leg\\c-hypotenuse[/tex]

Substitute in the given value and solve

[tex]a^{2}+15^{2} = 17^{2}\\a^{2} + 225 = 289\\a^{2} = 64\\a = 8[/tex]

4. Finding x

There are two congruent trinagles, hence one has to add the base of the triangle twice. The equation will be

x = base_of_triangle + base_of_rectagle + base_of_triangle

x = 8 + 10 + 8

x = 26

Step-by-step explanation:

-7x-36=20-3x

-36-20=-3x+7x

-56=4x

-56/4=X

-14=X

X=-14 answer

Answer:

Option B.   7

Step-by-step explanation:

In order to solve this question we first have to find out what is the difference between the prices of a pen and a pencil. SO we get...

60 - 4- = 20 cents

Now if we were to assume that all 17 items were pencils then Diane would pay....

17 x 0.40 = $6.8

But then he pays 8.2-6.8 = $1.4 less than he should be.

If we substitute one pencil with a pen the total will increase by 20 cents. From here we can easily get the number of pens by doing the following...

1.4 / 0.2 = 7 pens

Therefore option B is the right answer.

Diane purchased 7 pens and 10 pencils.

The selling price of pens is 60 cents each ($0.6) while it is 40 cents each for pencils ($0.4).

Let x represent the number of pens bought and y represent the number of pencils.

Since a total of 17 items was bought for $8.20, hence:

x + y = 17   (1)

0.6x + 0.4y = 8.2   (2)

Solving equations 1 and 2 gives:

x = 7, y = 10

Therefore Diane purchased 7 pens and 10 pencils.

Find out more at: https://brainly.com/question/24169758

Answer:

y=7x+5

Step-by-step explanation:

Answer:

37

Step-by-step explanation:

(12x12)+(35x35)=ans

square root of ans

Answer:

$595.34

Step-by-step explanation:

Step one

given data

interest rate of 2.5%= 0.025

final amount= $690

time = 6 years

Required

Principal P

Step two

The compound interest formula is

[tex]A= P(1+r)^t[/tex]

substitute

[tex]690=P(1+0.025)^6\\\\690=P(1.025)^6\\\\690=P1.159\\\\[/tex]

divide both sides by 1.159

P=690/1.159

P= $595.34

Answer:

590

Step-by-step explanation:

Answer from delta math

Answer:

260 lb

Step-by-step explanation:

180/9=20

13*20=260

Answer:

Step-by-step explanation:

Use the ratio

Simplify

Find the weight x on Earth of the person with weight 13 lb on Mars:

Answer:

The answer is y = -3x + 7.

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

[tex]y = mx + b[/tex]

❃Incase you also forgot, what the slope formula is ☟

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

➊ First: We are going to be solving for the slope.

[tex]m = \frac{ - 8 - 1}{5 - 2} = \frac{ - 9}{ \: \: \: 3} = - 3[/tex]

➋Second: We find the y-intercept.

[tex]y = mx + b \\ 1 = - 3(2) + b \\ 1 = - 6 + b \\ \frac{ + 6 = + 6 \: \: \: \: \: \: \: \: \: }{7 = b}[/tex]

➌Third: Plug in.

[tex]y = - 3x + 7[/tex]

Answer

Step-by-step explanation:

i dont know but pls dont hate me no one anserd for 15 hours so i took some points

Answer:

16

Step-by-step explanation:

Answer:

10 and 3/4??

High Hopes

                      Barry-

Answer:

I would say 800, sorry if it was wrong

Step-by-step explanation:

She ran the most on 800

Answer:

x = 19.42

Step-by-step explanation:

8²+x²=21²

64+x²=441

-64      -64

x²=377

x=19.41648784

rounded is 19.42

Answer:

(3x−27)o

Step-by-step explanation:

we know that

m\angle BEC=m\angle AEDm∠BEC=m∠AED ----> by vertical angles

we have

m\angle BEC=(2x+3)^om∠BEC=(2x+3)o

The value of x is given

x=30

so

m\angle BEC=(2(30)+3)=63^om∠BEC=(2(30)+3)=63o

That means that the measure of angle AED is also 63 degrees

so

The expression that could represent the measure of Angle A E D is

(3x-27)^o(3x−27)o

because

For x=30

(3(30)-27)=63^o(3(30)−27)=63o

Answer:

(3x−27)o

Step-by-step explanation:

Answer:

3/5

Step-by-step explanation:

The equation of a line is written as

y = mx + b where

m is the slope

b is the y-intercept.

We put the given equation above in that form

10x + 6y = - 84

6y = -10x - 84

Divide both sides by 6

y = -10x/6 - 84/6

y = -5x/3 - 14

y = -5/3x - 14

The slope of this line is -5/3

But we are told that: the slope of the line is perpendicular to the line

Hence: we find the reciprocal of , -5/3

This is = 3/5

Therefore, the slope of a line perpendicular to the line whose equation is 10x + 6y = −84 is 3/5

Answer:

im not sure...cuz it says 50%

its either 11.625 or 5.8125

it is the 1st one if the question means all average but if not PROBABLY only PROBABLY the right one

Step-by-step explanation:

I added all the hours together and divided it by 24 to get 11.625 but if the ans is 5.1825 ill divide 11.625 over 2

Answer:

d. 45%

Step-by-step explanation:

According to the frequency table there are 30 sudents who like rock in grades 9-10 and 25 students that like rock and are in grades 11-12.

25 ÷ 55 = n ÷ 100          

25 · 100 = 55 · n      

2500 ÷ 55 = n         n  = 45.454545        n = 45%

55 is the total amount of students that like rock

25 is the total amount of students that like rock in grades 11-12

100 is the total percentage

Answer:

f= -4x-7/x

Step-by-step explanation:

Answer:

(2,-5)

Step-by-step explanation:

Answer:

[tex]x =6[/tex]

[tex]y=6\cdot \sqrt{2}[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios: sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Choosing any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image shows a right triangle where the angle of 45° has x as the opposite leg, 6 as the adjacent leg, and y as the hypotenuse. The trigonometric ratio that applies here is the cosine ratio, defined as:

[tex]\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \cos 45^\circ=\frac{6}{y}[/tex]

Solving for y:

[tex]\displaystyle y=\frac{6}{\cos 45^\circ}[/tex]

[tex]\cos 45^\circ=\frac{\sqrt{2}}{2}=\frac{1}{\sqrt{2}}[/tex]

Substituting:

[tex]\displaystyle y=\frac{6}{\frac{1}{\sqrt{2}}}[/tex]

[tex]y=6\cdot \sqrt{2}[/tex]

Now use the tangent ratio:

[tex]\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan 45^\circ=\frac{x}{6}[/tex]

Solving for x:

[tex]x=6\cdot\tan 45^\circ[/tex]

[tex]\tan 45^\circ=1[/tex]

Substituting:

[tex]x=6\cdot 1[/tex]

[tex]x =6[/tex]

Answer:

[tex]x =6[/tex]

[tex]y=6\cdot \sqrt{2}[/tex]

Answer:

No.

Step-by-step explanation:

Price of each pretzel = $3.25

Price of each drink = $1.85

Price of each bag of popcorn = $0.99

Maximum money to be spent = $10

Price of two pretzels = $3.25 [tex]\times[/tex] 2 = $6.5

Price of two drink = $1.85 [tex]\times[/tex] 2 = $3.70

Price of two bags of popcorn = $0.99 [tex]\times[/tex] 2 = $1.98

Total money spent for buying two items of each type = $6.5 + $3.70 + $1.98 = $12.18

The money spent when 2 pretzels, 2 drinks and 2 bags of popcorn are bought is $12.18.

But maximum money available is $10.

Therefore, Clare would not be able to buy 2 pretzels, 2 drinks and 2 bags of popcorn with the amount of money available.

Answer:

last option. absolute value doesnt matter whether it is positive or negative

Step-by-step explanation:

Answer:

Hi! The correct answer is 7x=-3!

Step-by-step explanation:

~Write in standard form~

Answer:

x=10

Step-by-step explanation:

Using Pythagoras theorem

H^2=O^2+A^2

26^2=24^2+A^2

676= 576+A^2

676-576= A^2

100= A^2

square root both sides

10= A

Therefore, x=10

Answer:

16 miles an hour

Step-by-step explanation:

40 / 2.5 = unit rate

Answer:

16

Step-by-step explanation:

40÷2.5=16

So 1 hour is 16 because if you multiply it by 2.5 it is right.

(2×16)+(16×0.5)=40

32+8=40.

Question:

Sue is thinking of a number 3/8 of 88 = 1/3 of her number

what number is she thinking of

Answer:

[tex]x = 99[/tex]

Step-by-step explanation:

Represent the number with x.

So, we have:

[tex]\frac{3}{8} * 88 = \frac{1}{3} *x[/tex]

Multiply through by 3

[tex]3 * \frac{3}{8} * 88 = \frac{1}{3} *x * 3[/tex]

[tex]3 * \frac{3}{8} * 88 = x[/tex]

[tex]3 * 3 * 11 = x[/tex]

[tex]99= x[/tex]

[tex]x = 99[/tex]

Hence, she is thinking of 99

Noah needs 1.2 ounces of paint to cover 1 box.

What is simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easily with calculations and solving.

Here, we have

Given: Noah is painting boxes that are all the same size, and I have used 2 ounces of paint to cover 1 2/3 boxes, to determine how many ounces of paint are needed to cover 1 box, the following calculation must be performed:

= 1.666 = 2

1 = X

2 / 1,666 = X

1.2 = X

Hence, Noah needs 1.2 ounces of paint to cover 1 box.

To learn more about the simplification from the given link

https://brainly.com/question/28595186

#SPJ1

Answer:

36.00$

Step-by-step explanation:

Saved 9$

Answer:

9.00

Step-by-step explanation:

9.00 is taken off the original price

45-9=36