Miss Guydan and her friend Alyssa are collecting food for the local food bank. Their goal is to collect 2100 pounds of food. They start with 400 pounds of food donated by a local grocery store. Their goal is to collect 25 pounds of food per day. Write an equation that represent this situation. Define your variables.

Answers

Answer 1

Answer: Required equation: 400+25x = 2100

Variable: x = Number of days to donate 2100 pounds.

Step-by-step explanation:

Let x = Number of days.

y = Total pounds of food donated in x days.

Given: Initial amount of food = 400 pounds

Pounds of food donated per day = 25

Total food = Initial amount of food + (Pounds of food donated per day ) (Number of days)

y =  400+25x

Their goal is to collect 2100 pounds.

2100 = 400+25x  [Substitute y= 2100]

Required equation: 400+25x = 2100

Variable: x = Number of days.


Related Questions

Is x = 6 a solution to the equation 5(x – 3) = x + 13? Follow the steps to find out. 1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. 2. Simplify both sides. Show your work. 3. Is x = 6 a solution to the equation? Why or why not? 4. Find a value of x that is a solution to 5(x – 3) = x + 13. Describe how you found the solution.

Answers

Answer:

x = 7

Step-by-step explanation:

Testing if 6 is the solution:

5(x – 3) = x + 135(6 - 3) ? 6 + 135(3) ? 1915 ≠ 19

6 is not a solution

---------------------------------------------

Solving for x:

5(x – 3) = x + 13            ⇒ open parenthesis5x - 15 = x + 13              ⇒ isolate variable5x - x = 13 + 15              ⇒ simplify4x = 28                          x = 28/4x = 7

Answer:

x = 7

Step-by-step explanation:

The cost of a 4 pack of apple juice is $ 2.24. Write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.

Answers

Answer:

Cost = y/x

Step-by-step explanation:

The cost of a 4 pack of apple juice is $ 2.24.

We need to write an equation that relates the cost in dollars, y, to the number of apple juice cartons, x.

As 4 packs = $2.24

1 pack = 0.56

So, the equation can be :

Cost = y/x

A circle has a diameter of 26 units. What is the area of the circle to the nearest
hundredth of a square unit?
A 81.68
B 530.93
C 2,123.72
D 8.494.87

Answers

Answer:

b

Step-by-step explanation:

area = pie x radius(2)

         = 3.142 x 13 (2)

          = 530.998


a) Write 5.1 x 10^-1as an ordinary number.

Answers

Answer:

0.51

Step-by-step explanation:

what is the absolute value of -6 please help

Answers

Answer:

6

Step-by-step explanation:

its 6

Explain what a rational exponent such as 5/2 means. Use this explanation to evaluate 9^5/2

Answers

Answer: The denominator of the rational exponents represents the index of a rule and the numerator of the rational exponent represents the power of the base.

(sqrt 9)^5= 243

please help me on this will give you brainliest

Answers

Answer:

x + 8*19

Step-by-step explanation:

2x-2-(2x-1)=x+4-1-(-3x)

Answers

Answer:

-1=x

Step-by-step explanation:

2x-2-(2x-1)=x+4-1-(-3x)

2x-2-2x+1=x+4-1+3x

-1=4x+3

-4=4x

-1=x

Ash is 4 years younger than Gary, and Oak is 5 times Gary's age. The sum of their three ages is 94. Find Gary's age. Show working out. Thanks!!

Answers

Answer:

Step-by-step explanation:

If Gary's age is 14 then

Ash is 4 years younger = 14 - 4 = 10

And Oak is 5 times Gary's age = 14 x 5 = 70

So total ages = 70 + 14 + 10 = 94

Which ordered pair uses the rule used in the table?

Answers

Pretty sure it’s B but I don’t rlly know

Answer:

8,17    Answer B.

Step-by-step explanation:

math, science and other stuff to keep my brain in check

Answers

Answer:

yes sirr

Step-by-step explanation:

yes sirr

Answer:

yes sirrrrrrrrrrrrrrrrrrrr

A rectangular field has an area of 646 square feet. The width of the field is 19 feet. What is the length of he field?

Answers

the length is 34 feet if you divide 646 by 19

If rectangular field has an area of 646 square feet. The width of the field is 19 feet. Then length of the field is 71.77 feet.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given,

Area of rectangular field is  646 square feet.

width of the field is 19 feet.

We need to find the length of the field.

Area of rectangle=Length×Width

646=Length×19

Divide both sides by 19

Length=646/9

Length=71.77 feet

Hence 71.77 feet is the length of the field.

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Please help I have 30 minutes or I fail this assignment no joke please answer all the questions there's only four.

Answers

Answer:

Sorry if I am wrong don´t count on me tho I would wait until someone else answers cause I might be wrong.

1). 9

2). -2

3). i don´t know

4). i don´t know

Step-by-step explanation:

Sorry plz don´t be mad I´m only in 4th grade

Jonathan deposits $6,000 in a savings account that pays 2.1% interest compounded
quarterly. What is his balance after one year?

Answers

Given:

Principal= $6000

Rate of interest = 2.1% compounded quarterly.

To find:

The balance after one year.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is rate of interest, n is number of times interest compounded in an year and t is number of years.

We have, P=6000, r=0.021, n=4 and t=1.

Putting these values in the above formula, we get

[tex]A=6000\left(1+\dfrac{0.021}{4}\right)^{4(1)}[/tex]

[tex]A=6000\left(1+0.00525\right)^{4}[/tex]

[tex]A=6000\left(1.00525\right)^{4}[/tex]

[tex]A=6126.9957[/tex]

[tex]A\approx 6126.996[/tex]

Therefore, the balance after one year is $6126.996.

Answer:

C. $7,800

Step-by-step explanation:

find the trigonometric ratio

this is geometry with trig

Answers

Answer:

tanZ = [tex]\frac{20}{15}[/tex]

Step-by-step explanation:

tanZ = [tex]\frac{opposite}{adjacent}[/tex] =  [tex]\frac{XY}{ZY} }[/tex] = [tex]\frac{20}{15}[/tex]

A bee flies at 6 feet per second directly to a flowerbed from its hive the bee stays at the flowerbed for 17 minutes, and then flies directly back to the hive at 4 feet per second. It is away from the hive for a total of 22 mins

Answers

Answer:

576 feet.

Step-by-step explanation:

5 - 13 = 2 minutes x 60 =120 seconds that the bee spent flying back and forth.

a - Distance = Time x Speed

Time =Distance / Speed

 D / 12  +  D / 8 = 120, solve for D

 

b - D = 576 feet from the hive to the flowerbed.

In the rectangle
P
Q
R
S
, the side
P
Q
is of length
2
and the side
Q
R
is of length
4
.

Points
T
and
U
lie inside the rectangle so that
P
Q
T
and
R
S
U
are equilateral triangles.

What is the area of the quadrilateral
Q
R
U
T
?

Answers

Answer:

maths challenge>

Step-by-step explanation:

samee

Elimination method

3x + -3 =6
3x + 2y = 16​

Answers

Answer:

(4,2)

Step-by-step explanation:

hope this answerss

What is the value of the expression "eight more than three times the difference of four and a number" when n =
3?
□44
□19
□17
□11​

Answers

Answer:

11

Step-by-step explanation:

3 (4 - n) + 8

When n = 3:

3 (4 - 3) + 8

3 (1) + 8

3 + 8

11

Answer:

11

Step-by-step explanation:

PLEASE ANSWER ASAP !!!!! WILL GIVE BRAINLIEST

Answers

Answer:

f=-1/9

Step-by-step explanation:

Answer:

First, isolate the variable, f. Subtract 4 to both sides to result with 2f > -7f -1.

Then, add 7f to both sides to result with 9f > -1. Now, we can divide 9 to both sides to get f > -1/9.

plz show how you got the answer​

Answers

D. Would be correct. Turn 2 1/4 to a mixed fraction. 2 1/4 would be 9/4. 1 1/4 into mixed fraction form would be 5/4. 9/4+ 5/4 = 14/4. 14/4 equals 3 2/4 which equals 3 1/2.

Hi there! I'm here to help. :)

Okay, so here you are solving for x. To solve for x, you must get it alone on one side of the equal sign. As we can see, it is not alone, and it is with 1 1/4 on the left side of the equal sign.

To get it alone, we need to subtract 1 1/4 from both sides. However, to subtract fractions, we need to make sure they have the same denominator. Looking at the fractions, we can see that they have two different denominators.

Begin by converting both fractions into improper fractions:

1 1/4 = 5/4

3 1/2 = 7/2

So now our equation looks like this: x + 5/4 = 7/2

Now we need to make it to where we our fractions have the same denominator.

Our current denominators are 4 and 2. The LCM (lowest common multiple) of 4 and 2 is 4, so you leave 5/4 as it is (because it's denominator is already 4) and you change 7/2.

Multiply 2 * 2 to make the denominator 4 in 7/2, but whatever you do to the denominator, you MUST do to the numerator. So multiply 7 * 2 = 14. Now your fraction looks like this: 14/4

Now we have:

1 1/4 = 5/4

3 1/2 = 14/4

Our denominators are the same now! Now here comes the easy part: We subtract! Do 3 1/2 - 1 1/4, or, 14/4 - 5/4. To subtract fractions, simply subtract the numerators and leave the denominators as is. 14 - 5 = 9, so 14/4 - 5/4 = 9/4.

Now our equation looks like this:

x = 9/4

LASTLY: All of your options are mixed numbers, so convert this improper fraction back into a mixed number. 9/4 = 2 1/4.

So, x = 2 1/4. :)

Joyce uses 3/10 bag of chocolate chips for each batch of cookies she makes. What is the least number of batches Joyce can make if she has to open a second bag of chocolate chips?

Answers

Answer:

6 batches is the least amount.

Step-by-step explanation:

can someone plz help i need it quick

Answers

Answer:

The correct answer is 70.

60+50=110

180-110=70

the angels x and y are equivalent

Step-by-step explanation:

hoped this helped

✩brainliest appreciated✩

Answer:

the answer is dododoodod

Step-by-step explanation:

Is there a way to quickly find a function if you have a handful of ordered pairs?
ex. (-6, 10) (-4, 7) (-2, 4) (0, 3) (2, 0) (4, -3)

Answers

Yeah. You basically have to look at every x value and see if for every x value, is there ONLY one y-value. So in your example, it is a function because every x value has only one y value. Let’s say you had (1,3) and (1,5). That would not be a function because the x value of 1 has TWO y values (3 and 5), therefore it is not a function.

That’s how you can easily spot if something is a function by just looking at a handful of ordered pairs. I hope this makes sense.
Plug into your calculator and Use linear regression

The equation of a line is given below.
9x - 3y=3
Find the slope and the y-intercept.
Then use them to graph the line.

Answers

sorry i’m not gonna graph it but with this info u easily can

the y intercept is -1
slope is 3/1
final equation is y=3x-1

(x+3)(x-8) Multiply and Simplify

Answers

Answer:

x^2-5x-24

Step-by-step explanation:

Please hurry
5/6x-1/3>1 1/3?​

Answers

Answer:

-5/18 >4/3

Step-by-step explanation:

Make this brainliest , thank you!

2 3/5 x 5/6 plz help​

Answers

Answer:

2 1/6

Step-by-step explanation:

2 3/5 x 5/6

convert the 2 3/5 to an improper fraction so it can be easier to multiply

2 3/5 = 13/5

13/5 * 5/6

All you need to do is multiply across. Both denominators, and both numerators.  

13 * 5 = 65 (numerator)

5 * 6 = 30 (denominator)

65/30 and that is in an improper form

2 5/30 = 2 1/6 = In a simplified mixed number

2 1/6

Hope this helped!

Have a supercalifragilisticexpialidocious day!

The scatter plot shows the maximum noise level when different numbers of the people are in the stadium. The linear model is given by the equation y=1.5x+22.7, where y represents maximum noise level and x represents the number of people the number of people ,in thousands, in the stadium. y=1.5x+22.7

3. What is the y intercept of the linear model given? What does it mean in the context of the problem? Is this reasonable? Explain the reasoning? ​

Answers

The y intercept is 1.5x+22.7 + the linear equation which is 22

The y-intercept of the equation is 22.7 and it represents the initial value of the noise at the y-axis.

What is a scatter plot?

A scatter plot is a type of plot or mathematical diagram that displays values for two variables for a set of data using Cartesian coordinates. One more variable can be displayed if the points are coded.

Given that the scatter plot shows the maximum noise level when different numbers of people are in the stadium. The linear model is given by the equation y=1.5x+22.7, where y represents the maximum noise level and x represents the number of people,in thousands, in the stadium. y=1.5x+22.7

The equation for the maximum noise is given as, y=1.5x+22.7. In the given equation the slope of the line is equal to 1.5. The y-intercept of the equation is 22.7 which represents the initial value of the noise at the y-axis.

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g−9=−19

Help plz


Pleaseeeeee

Answers

Answer:

g = -10

Step-by-step explanation:

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