The produce department of a grocery store sold 288 pounds of tomatoes. The rest spoiled and had to be discarded. The amount that spoiled represented 28% of the shipment the store received. How many pounds of tomatoes were originally received?

Will mark brainliest

Answer:

18 per serving

Step-by-step explanation:

54/3=18   just divide to find the unit rate

Given:

In a geometric sequence,

First term = 11

Common ratio = 4

To find:

The function for the geometric sequence.

Solution:

We have,

First term: a = 11

Common ratio: r = 4

We know that, nth term of a geometric sequence is

[tex]a_n=ar^{n-1}[/tex]

Putting a=11 and r=4, we get

[tex]a_n=(11)(4)^{n-1}[/tex]

The function notation is

[tex]f(n)=(11)(4)^{n-1}[/tex]

Therefore, the function for the geometric sequence is [tex]f(n)=(11)(4)^{n-1}[/tex], where n is a positive integer.

Answer:

(1, -3) is a solution to the system of equations ⇒ B

Step-by-step explanation:

Let us solve the system of equations

∵ 3x + 2y = -3 ⇒ (1)

∵ 3x - y = 6 ⇒ (2)

→ Subtract equation (2) from equation (1)

∵ (3x - 3x) + (2y - -y) = (-3 - 6)

∴ (0) + (2y + y) = (-9)

∴ 3y = -9

→ Divide both sides by 3 to find y

∴ y = -3

→ Substitute the value of y in equation (2) to find x

∵ 3x - (-3) = 6

∴ 3x + 3 = 6

→ Subtract 3 from both sides

∵ 3x + 3 - 3 = 6 - 3

∴ 3x = 3

→ Divide both sides by 3 to find x

∴ x = 1

To check the answer substitute the values of x any in each equation if the two sides of the equation are equal, then the solution is right

∵ 3x + 2y = -3

∵ 3(1) + 2(-3) = -3

∴ 3 - 6 = -3

∴ -3 = -3

→ The two sides of the equation are equal

∵ 3x - y = 6

∵ 3(1) - (-3) = 6

∴ 3 + 3 = 6

∴ 6 = 6

→ The two sides of the equation are equal

∴ The solution satisfies the two equations

∴ (1, -3) is a solution to the system

Answer:

Yes, your total savings on gas is proportional to the number of beverages you purchase.

Step-by-step explanation:

What is a proportional relationship?

A proportional relationship, also known as direct relation, between two variables exists when the ratio between every pair of data is constant.

In this case the variables are:

number of beverage purchased

savings

Thus, as per every beverage purchase you save $ 0.20 the ratio of total savings to the number of beverage purchases is:

savings / beverages purchase = $ 0.20 / beverage

That means that you can determine the savings by multipliying the number of beverages times $ 0.20.

For proportional relationships it is easy to build a table that shows the behavior of the variables. This shows you that:

Number of beverages   savings    ratio

        1                              $ 0.20      $0.20 / 1 beverage = 0.20

        2                             $ 0.40      $0.40 / 2 beverages = 0.20

        3                             $ 0.60       $0.60 / 3 beverages = 0.20

        4                             $ 0.80       $0.80 / 4 beverages = 0.20

Answer:

2 oz.

Step-by-step explanation:

2 eggs is 4 oz. of oil so 4/2 =2 oz for 1 egg

Answer:

20

Step-by-step explanation:

30/3=10

10*2=20

One solution.

[tex]7x + 21 = 21 \\ 7x = 21 - 21 \\ 7x = 0 \\ x = 0[/tex]

If we can solve for the value of x. Then the solution would be one only for system of linear equations.

For your information, When the equation is true or rather say that both sides are the same, the solution will be infinite.

When the equation is false or rather say that both sides have different number or value then there won't be any solutions.

Answer:

your answer will bw the option A.

Step-by-step explanation:

Answer:

Number 5 is 65 percent.

Number 6 is 74 percent.

Number 7 is 61 percent

Number 8 is 85 percent

Step-by-step explanation:

Its pretty easy you just take the two numbers given so for number 5 it says iPhone so you take 87 + 43 and then divide that number by 2. And do that for all of them.

Answer:

d. 250π/3

Step-by-step explanation:

A = πr²

A = 3.14(10)² = 314.159

A = 314.159*(5/6) = 261.799

A = 261.799 = 250π/3

Answer:

D

Step-by-step explanation:

You need to set up a ratio between the area of the sector & the area of the circle vs the angle of the sector & 360 degrees.

[tex]\frac{SectorAngle}{360} =\frac{SectorArea}{CircleArea}[/tex]

That above is your formula you need to remember for these equations.

Now let's solve. You've been given the sector angle, which is 300 degrees, and you've been given the radius of the circle, 10 feet.

The area of a circle is the formula: A = πr²

Given that formula and you know the radius. You plug in 10 feet for r and solve for the area.

[tex]A=\pi10^2\\A=314.159[/tex]

Now lets solve for the missing variable (Sector Area).

[tex]\frac{300}{360} = \frac{x}{100\pi }\\100\pi * \frac{300}{360} = \frac{x}{314.159}*100\pi\\100\pi* \frac{300}{360} = x\\\frac{250\pi }{3} = x[/tex]

I kind of messed up since I didn't realize the answer choices were simplified, make sure for the area you don't completely solve the area, keep the pi simple if the answer choices include pi.

Answer:

-5

Step-by-step explanation:

As, x = - 1

So 2(-1)-3 = - 2 - 3 = - 5

So y = - 5

Answer:

#1 yes #2

Step-by-step explanation:

I added comments on why it is correct

Answer:

11.265 minutes.

Step-by-step explanation:

A minute is about a a kilometer so 7 miles is about 11.265 minutes.

Answer:

Gertrude, Bart, Hermione, Jojo

Step-by-step explanation:

Ok to start of lets identify the money in each bank account

I will not be using names to make this simpler.

Student A: $-100.54

Student B: $95.88

Student C: $50.00

Student D: $-120.37

Lets pretend that were not talking about money to help you understand this.

So just from glancing at this you'd think -120.37 would be the most because its the largest number correct?

Well you have to include the negative sign. The negative sign shows that this number is below 0.

Lets take a look at the other negative number.

-100.54

Greater or less than -120.37?

-100.54 is actually greater than -120.37

Why?

On a number line, the negative side, your counting back from 0. So the farther away you are from 0 for negatives, the less that number is.

So -120.37 would be the least and -100.54 would be the second least.

The greatest would be 95.88 because its greater than 50.

So the order would be 95.88, 50, -100.54, then -120.37

Just find which students that goes with and your done!

If you ever need more help don't be afraid to reach out and I hope that helps!

Answer:true

Step-by-step explanation:

Answer:

x = 3

y = 18

Step-by-step explanation:

you replace y with 6x

x + 6x = 21

combine like terms

7x = 21

divide both sides by seven

x = 3

then you plyg 3 into the other equation

y = 6(3)

y= 18

Answer:

x=3

y=18

Step-by-step explanation:

x+y=21..........equation 1

or,x=21-y......equation 2

y=6x.......equation3

substituting the value of x in equation 3

y=6(21-y)

or,y=126-6y

or,7y=126

y=18

again,substituting the value of y in equation 2

x=21-y

or,x=21-18

x=3

x=3,y=18

Answer:

The answer is A

Step-by-step explanation:

Answer:

missing value is 5

Step-by-step explanation:

Change them to all have the same denominator

8/12 + 3x/12 = 23/12

multiply all by 12

8 + 3x = 23

subtract 8

3x = 15

divide by 3

x = 5

Answer:

Between 0 and 1 minute: 25

Between 1 and 2 minutes: 0

Between 2 and 4 minutes: -25

Step-by-step explanation:

Notice the changes in the table and how the line increases, stays constant, and decreases.

Answer:

The slope-intercept form of the equation of this line is:

[tex]y=-x[/tex]

Hence, option 'c' is true.

Step-by-step explanation:

From the line equation, let us take two points

Finding the slope between two points

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

[tex]\left(x_1,\:y_1\right)=\left(1,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:1\right)[/tex]

[tex]m=\frac{1-\left(-1\right)}{-1-1}[/tex]

[tex]m=-1[/tex]

From the line graph, we can determine the y-intercept by setting x=0 and checking the y-value at x=0

at x=0, y=0

Thus, (0, 0) is the y-intercept

We know that the slope-intercept form of the line equation is

y=mx+b

where

As we have already determined m=-1 and y-intercept=b=0

so substituting m=-1, b=0 in the slope-intercept form of the line equation

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

[tex]y=(-1)x+0[/tex]

[tex]y=-x[/tex]

Thus, the slope-intercept form of the equation of this line is:

[tex]y=-x[/tex]

Hence, option 'c' is true.

Answer:

D) x=5, x=-5.

Step-by-step explanation:

x^2-25=0

factor

(x+5)(x-5)=0

x+5=0, x-5=0,

x=0-5=-5,

x=0+5=5.

Answer:

58

Step-by-step explanation:

Replace the p in the function with 10. 5(10) + 8 = 58

ANSWER 35

Step-by-step explanation:

7 and 5 - 35

Now just simplify the 3 and 4 :)

Answer:

8

Step-by-step explanation:

Just do 40 divided by 5.

Answer:

The answer is 8

Step-by-step explanation:

Pay attention bro

Answer:

x = 50°

Step-by-step explanation:

According to exterior angle property of a traingle , measure of exterior angle is equal to sum of it's two interior angles of the triangle. So,

[tex]x = 15 + 35 = 50[/tex]

Answer:

15x + 28y = 116

x + y = 6

Step-by-step explanation:

Answer:

A :)

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Slope of first equation: -1/2; y-int: -1

Slope of second equation: 1/4; y-int: -4

Answer:

C:

y=  -1/2x -1

y=  1/4x -4

Step-by-step explanation:

Quick maths