solve :
2(3x + 6) = 18

Answer:

Variable x = $2.39 ⇒ price of 1 pound of cashews

Variable y = $1.79 ⇒ price of 1 pound of peanuts

Step-by-step explanation:

Assume that the price of each pound of cashews is $x and the price of each pound of peanuts is $y

∵ The price of 1 pound of cashews = x

∵ The price of 1 pound of peanuts = y

∵ 5 pounds of cashews and 8 pounds of peanuts cost $26.27

∴ 5x + 8y = 26.27 ⇒ (1)

∵ 7 pounds of cashews and 4 pounds of peanuts cost $23.89

∴ 7x + 4y = 23.89 ⇒ (2)

Now we have a system of equations to solve it

→ Multiply equation (2) by -2 to make the coefficients of y equal

   in values and different in signs

∵ -2(7x) + -2(4y) = -2(23.89)

∴ -14x - 8y = -47.78 ⇒ (3)

→ Add equations (1) and (3) to eliminate y

∵ (5x + -14x) + (8y + - 8y) = (26.27 + -47.78)

∴ -9x = -21.51

→ Divide both sides by -9 to find x

∴ x = 2.39

→ Substitute x in equation (1) or (2) to find y

∵ 5(2.39) + 8y = 26.27

∴ 11.95 + 8y = 26.27

→ Subtract 11.95 from both sides

∴ 8y = 14.32

→ Divide both sides by 8 to find y

∴ y = 1.79

∴ The price of 1 pound of cashews is $2.39

∴ The price of 1 pound of peanuts is $1.79

Answer:

6 places to the right....

Answer:

Step-by-step explanation:

D = 3,1

E = 1,-2

F= -4,2

Work Shown:

f(x) = (x+2)/x

f(-3) = (-3+2)/(-3) .... replace every x with -3

f(-3) = -1/(-3)

f(-3) = 1/3

Answer:

A

Step-by-step explanation:

Just look up the formula for the area of a circle. There's a calculator that you put the radi in and gives you an almost perfect answer.

Answer: I think it’s A

Step-by-step explanation

Answer:

34.56

Step-by-step explanation:

Answer:

x = 2,-8

Step-by-step explanation:

Answer:

79 degrees

Step-by-step explanation:

Quadrilaterals have a total of 360 degrees. They already gave you three of them so you just have to add all the given degrees and subtract it by 360. 101+124+56=281 ; 360-281=79

Answer:

The answer is "63%"

Step-by-step explanation:

please find the complete question in the attached file.

Time= 10 year =38.0%

let,  

x=rate

[tex]\to 38 = \frac{(36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x)}{10}[/tex]

[tex]\to 38 = \frac{(343 + x )}{10}\\\\\to 380 = (343 + x )\\\\\to 380 - 343 = x \\\\\to x= 37\%[/tex]

The rate of survival differs from the rate of loss, meaning the rate of survival were:

[tex]= 1 - loss\ rate \\\\= 1 - 37\% \\\\= 1 - \frac{37}{100} \\\\= \frac{100-37}{100} \\\\= \frac{63}{100} \\\\=63 \%[/tex]

Answer:

The height of the kite is approximately 278.6 feet

Step-by-step explanation:

The length of Jason's Kite string, l = 325 feet

The angle of elevation of the kite string, θ = 58°

The height of Jason's hand, h = 3 feet above the ground

Therefore, we have;

The height of the kite = The vertical component of the length of the kite string + The height of Jason's hand above the ground

The height of the kite = l × sin(θ) + h

Substituting the values, we get

The height of the kite = 325 × sin(58°) + 3 ≈ 278.6 (which is obtained by rounding the answer to the nearest tenth)

The height of the kite ≈ 278.6 feet.

Answer:

SAS

Step-by-step explanation:

We have 2 sides that are congruent and the angle between them

We can use SAS ( side angle side) to prove congruency

Answer:

91

Step-by-step explanation:

Sum of the middle two numbers is ''182'' for 4 consecutive even number.

The process of combining or adding two or more numbers is called the Addition.

We have to given that;

Sum of 4 consecutive even numbers = 364

Let 4 consecutive even numbers are,

⇒ (x - 2), x, (x + 2), (x + 4)

So, We can formulate;

⇒ (x - 2) + x + (x + 2) + (x + 4) = 364

Solve for x;

⇒ 4x + 4 = 364

⇒ 4x = 364 - 4

⇒ 4x = 360

⇒ x = 90

Hence, The two middle numbers are,

⇒ (x) = 90

⇒ (x + 2) = 90 + 2

              = 92

So, Sum of two middle numbers = 90 + 92

                                                  = 182

Learn more about the addition visit:

https://brainly.com/question/5454147

#SPJ2

The complete question is this,

The sum of 4 consecutive even numbers is 364. What is the sum of the middle two numbers?

Answer:

two of the points are (0,5) and (2.5,0)

Answer:

Place one dot at y = 5 x = 0. This represents the y intercept or the "5" in the equation.

Then place dots at:

(-3,10)

(-2,9)

(-1,7)

(1,3)

(2,1)

(3,-1)

(4,-3)

(5, -5)

(6, -7)

(7, -9)

The slope is -2x which makes the line slope downward, and the points above are the points on the line. Starting at the y intercept we can use the rise over run method to plot the points.

I hope this helps!!

- Kay :)

Answer:

2x +23

Step-by-step explanation:

Let the required number be x

Twice of number = 2x

23 more than twice a number = 2x + 23

Answer:

2x + 23

Step-by-step explanation:

Let x be the number

I hope this helps!

Answer:

The length is 8

Step-by-step explanation:

Answer: Each girl will receive $18.75.

Step-by-step explanation:

Given: Two girls babysat three children for five hours.

Hourly pay for each child = $2.50

Payment for 5 hours per child = [tex]5\times\$2.50=\$12.5[/tex]

Payment to 3 children for 5 hours = [tex]3\times \$12.5=\$37.5[/tex]

So, the amount received by each girl  = [tex]\dfrac{\text{Payment to 3 children for 5 hours}}{2}[/tex]

[tex]=\dfrac{37.5}{2}=\$18.75[/tex]

Hence, each girl will receive $18.75.

Answer:

I think the answer is is X-15

Answer:

60°

Step-by-step explanation:

We can get the other two angles in the top triangle because they are alternate interior.  Then we subtract them from 180.

180-82-38=60

Answer:

10/10 =1 / 1 =1

m = ^^

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

Answer:

Step-by-step explanation:

What i would do is multiply both sides by 2z + 1

so you get z-6=20z+10

-19z=16

z=-16/19

Answer:

z is every integer and the study of z and its properties is a general understanding save the satisfying of your rate of change

Answer:

7:12 a.m

Step-by-step explanation:

Given that:

Train to New York city leaves station every 7 minutes

Train to Boston leaves station every 6 minutes

Current time = 6:30 a.m

Time both will leave station together is obtained by finding the least common multiple of 6 and 7

Multiples of ;

6 = 6, 12, 18, 24, 30, 36, 42, 48, 54, 60,...

7 = 7, 14, 21, 28, 35, 42, 49, 56, 63, 70,...

The least common multiple of 6 and 7 is 42.

Hence, both trains will leave the station together after 42 minutes ;

Current time + 42 minutes

6:30 a.m+ 42 minutes = 7:12 a.m

Answer:

300:500

Step-by-step explanation:

If there are 200 left handed gloves, then there are 300 right handed gloves.

The total amount of gloves is 500, so its 300:500.

Answer:

x = -65

Step-by-step explanation:

To start off, we can create our equation. We know that "of" is just another word for multiply. We will then end up with [tex]\frac{2}{5}[/tex] * x = -26. To solve this equation, we will find [tex]\frac{2}{5}[/tex] of -26. To make things less confusing, lets take away the negative for now. 26 x 5 = 130 and 130 ÷ 2  is 65. We then add our negative back on and x = -65.

Answer:

B. 32%

Step-by-step explanation:

16/50 = 32% lol

goodluck!

Answer:

0.03846153846

Step-by-step explanation:

Answer: 1/26 or 0.0384615

Step-by-step explanation: You Have To Figure Out How Many Times 22 can go into 57 The Answer is 2 leaving 13 bring down the 2 it makes 132         22 times 6  = 132 so the answer is 1/26.

Answer:

i think its answer is option A

Answer:

Y= -1/3x + 8/3

Step-by-step explanation: