Cherries cost $5 for 2 pounds and $7.50 for 3 pounds.
What is the cost per pound?
b. Is it constant?
c. If you were to graph this situation, would you put weight or cost on the x-axis? Which one would you put on the y-axis?
d. Plot the two points described.
e. How much would 5 pounds of cherries cost? What did you do to solve this problem?

Answers

Answer 1

Answer:

Cherries cost $2.50 per pound

Yes, it is constant.

Weight would go on the x-axis and the cost would go on the y-axis.

The two points are (2, 5) and (3, 7.5)

5 pounds of cherries would cost $12.50. To solve the problem I multiplied the 5 pounds by 2.5, the cost per pound to find the cost.

Step-by-step explanation:

$5 for 2 pounds and $7.50 for 3 pounds can be turned into the points (2, 5) and (3, 7.5).

To find the cost per pound, input the two points into the slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{7.5-5}{3-2}[/tex]

Solve:

7.5 - 5 = 2.5

3 - 2 = 1

[tex]\frac{2.5}{1}[/tex] = 2.5

The cost of cherries per pound is $2.50. This is our slope.

The equation that represents the cost of cherries for x amount of pounds is:

y = 2.5x

To find how much 5 pounds of cherries would cost, replace x with 5 in the equation:

y = 2.5(5)

y = 12.5

5 pounds of cherries would cost $12.50.

I hope this helps :)


Related Questions

solve for x:
-6 + 4x = 13

Answers

Answer:

x = 19/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

-6 + 4x = 13

Step 2: Solve for x

Add 6 to both sides:                    4x = 19Divide both sides by 4:                x = 19/4

Step 3: Check

Plug in x to verify it's a solution.

Substitute:                    -6 + 4(19/4) = 13Multiply:                        -6 + 19 = 13Add:                               13 = 13

Here, we see that 13 does indeed equal 13.

∴ x = 19/4 is a solution of the equation.

x=4.75

explanation: you would subtract -6 since there is an invisible adding sign and then you would subtract -6 from both sides so you would do 13- -6 and that would give you 19. so then it would be 4x=19 and you would divide by 4 since you are doing inverse operation so 19 divided by 4 is 4.75

PLEASE HELP ASAP!!!!!!!!!!!!!

Factories often add filler when making meatballs sold by the bag. One factory obtained 135kg of beef from overseas. They want to add 1.3oz of filler for each pound of beef. How many ounces of filler will the factory need in order to make meatballs out of this shipment of beef?

Answers

Answer:

The company needs 390 oz of filler.

Step-by-step explanation:

your welcome

A cookie recipe calls for 1 pound of butter. How many kilograms of butter would be needed for 3 batches?

Answers

Answer:

1.36078

Step-by-step explanation:

Given the table below that lists points on a line, what is the y-intercept of the line?

Answers

Answer:

D.4

Step-by-step explanation:

If you think of the table as coordinates then 4 would be your y-intercept

the answer is ( D. 4 )

porque la tierra gira mas rapido que marte?​

Answers

Answer:

Respuesta. ¿Cual de los dos planetas gira mas rapido? ¿Por que? Porque la velocidad de Marte es 0.81 veces a la de La Tierra, esto quiere decir que su velocidad es el 81% del total de la de la Tierra

Step-by-step explanation:

Answer/Step-by-step explanation:

Mars seems to go slower than the Earth, because Earth has a shorter path around the sun than Mars.

Marte parece ir más lento que la Tierra, porque la Tierra tiene un camino más corto alrededor del sol que Marte.

Kelly read 30 pages of her 300-page book in 6 hours. At this rate, how long will it take her to read the entire book? (5 points) 60 hours 5 hours 6 hours 30 hours

Answers

Answer: 60 hours

Step-by-step explanation:

it takes 6 hours to read 30/300 or 1/10 of the book

you take 6 times 10 because you read 1/10 every 6 hours . making it be 60 hours

In one hour, Jason can install at least 6 windows
but no more than 8 windows. Which of the
following could be a possible amount of time, in
hours, that Jason takes to install 100 windows in
a home?
th
A) 12
B) 16
C) 17
D) 18

Answers

Answer:

B.

Step-by-step explanation:

Possible amount of hours to install 100 windows = 16 hrs.

The correct option is (B).

What is an Inequality?

In Algebra, inequality is a Mathematical statement that shows the relation between two expressions using the inequality symbol. The expressions on both sides of an inequality sign are not equal. It means that the expression on the left-hand side should be greater than or less than the expression on the right-hand side or vice versa. If the relationship between two algebraic expressions is defined using the inequality symbols, then it is called literal inequalities.

Given,

Number of windows Jason can install in 1 hour = 6 ≤ x ≥ 8

Time taken in installing 1 window = 1/6 ≤ 1/x ≥ 1/8

Time taken in installing 100 windows = 1/6 × 100 ≤ 1/x × 100 ≥ 1/8 × 100

Time taken in installing 100 windows = 12.5 ≤ t ≥ 16.67

Then the possible amount of time taken will be in range of 12.5 to 16.67 hrs.  

Hence, Jason will take around 16 hrs. to install 100 windows.

Learn more about Inequality here:

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7 picture frames cost $15 at Harris Teeter. At Food Lion, 9 picture frames cost $17. Which is the better buy?

Answers

Answer:

It is better to to buy from At Food Lion

Step-by-step explanation:

At Harris Teeter: 7 picture frames cost $15

Cost per picture frames = Total cost of picture frames / number of picture frames

= $15 / 7

= $2.14 per picture

At Food Lion: 9 picture frames cost $17

Cost per picture frames = Total cost of picture frames / number of picture frames

= $17 / 9

= $1.89 per picture

The cost of pictures frames Amat Food Lion is cheaper than at Harris Teeter

It is better to to buy from At Food Lion

A rectangle has a perimeter of 42 m and a length of 15 m. What is
the width of this rectangle in metres? (Perimeter = 2(length + width))

Answers

Answer:

6 meters

Step-by-step explanation:

the perimeter is all of the sides added up so to find the added width you subtract the added length which is 30 so 42-30 is 12 so the added width is 12. To find one width you divide 12 by 2 so one width of the rectangle would be 6 meters

The perimeter of a rectangle is 2+2=
2
L
+
2
W
=
P
. The diagonals can be represented as 2+2=2
L
2
+
W
2
=
D
2
. Plugging in, we have:

2+2=42⟹+=21
2
L
+
2
W
=
42

L
+
W
=
21


2+2=152=225
L
2
+
W
2
=
15
2
=
225


We can square the first equation and subtract the second:

+=21
L
+
W
=
21


(+)2=212
(
L
+
W
)
2
=
21
2


2+2+2=441
L
2
+
2
L
W
+
W
2
=
441


2+2+2−(2+2)=441−225
L
2
+
2
L
W
+
W
2

(
L
2
+
W
2
)
=
441

225


2=216
2
L
W
=
216


It doesn’t tell us much, but we can now more easily substitute and solve for
L
.

=21−
W
=
21

L
& =108
L
W
=
108


(21−)=108
L
(
21

L
)
=
108


21−2=108
21
L

L
2
=
108


2−21+108=0
L
2

21
L
+
108
=
0


We can use the quadratic formula

=−±2−4√2
x
=

b
±
b
2

4
a
c
2
a


=21±441−432√2=21±9√2=21±32
L
=
21
±
441

432
2
=
21
±
9
2
=
21
±
3
2


=21+32=242=12
L
=
21
+
3
2
=
24
2
=
12


=21−32=182=9
L
=
21

3
2
=
18
2
=
9


We now know =9
L
=
9
or =12
L
=
12
. From this, we can calculate
W
by plugging
L
into =21−
W
=
21

L
.

=21−9=12
W
=
21

9
=
12


=21−12=9
W
=
21

12
=
9


We have two solutions:

1)=9
1
)
L
=
9
& =12
W
=
12


2)=12 2)L=12 &
=9 W=9


Both of which are the same, though. Our rectangle has side lengths of 9
9
, 12
12
, 9
9
, & 12
12
.

Please someone explain and give me ths answer​

Answers

Answer:

x = 10

Step-by-step explanation:

An isosceles triangle has two sides of equal length. In this triangle, there is a little line in the middle of two out of the three sides of the triangle. This line tells us that those two sides are equal. We know that the value of these sides are 4x - 8 and 2x + 12. So, to find the value of x, we can set the equations equal to each other and solve for x:

4x - 8 = 2x + 12

Subtract 2x from both sides to isolate x:

2x - 8 = 12

Add 8 to both sides:

2x = 20

Divide both sides of the equation by 2 to find the value of x:

x = 10

Hope this helps :)

Find what a equals in this equation.

[tex]x(x+a)(x+3) = x(x+3)(x-3)[/tex]

Answers

Answer:

a = - 3

Step-by-step explanation:

The equation has common factors x(x + 3) on both sides

For the 2 sides of the equation to be equal, then the factor

(x + a) = (x - 3) and by comparison

a = - 3

SOMEONE PLEASE HELP ME ASAP

Answers

Answer:

The answer would be A.

Step-by-step explanation:

Slope Formula: y1-y2/x1-x2

So:

33+9/-3-4

42/-7

This gives a slope of -6.

For which values of x will the rational expression below be unidentified? (x-1)(x+1)/x+2​

Answers

Answer:

C

Step-by-step explanation:

Given

[tex]\frac{(x-1)(x+1)}{x+2}[/tex]

The denominator of the rational function cannot be zero as this would make it undefined.

Equating the denominator to zero and solving gives the value that x cannot be, that is

x + 2 = 0 ⇒ x = - 2 ← excluded value

Answer:

C. -2

Step-by-step explanation:

Any number divided by 0 is undefined. So, find the value of x that will make the denominator(x + 2)  equal to 0:

x + 2 = 0

Subtract 2 from both sides of the equation to find the value of x:

x = -2

The only value of x that could make the denominator 0 is x = -2.

Hope this helps :)

can someone please help me?

Answers

Answer:

70°

Step-by-step explanation:

since two lengths are equal to 3.5 that’s means there’s are two equal angles (55° and 55°)

a triangle adds up to 180°

so to find x we set this up:

x +55 +55 = 180

x + 110 = 180

x = 70°

Suppose your friend multiplied 1.2 and 2.6, then got 31.2 as the product. Is your friend’s answer reasonable? Justify your response.

Answers

Answer:

no

Step-by-step explanation:

2.6*1.2=3.12

Answer: The answer is incorrect it's actually 3.12

Step-by-step explanation: The decimal was placed in the incorrect spot.

please answer fast! I need a lot of help

Answers

Answer:

24

Step-by-step explanation:

you would multiply 12 time 2

1:6 buddy it’s like simplifying fractions

help please !!!!!!!!

Answers

(-3,4) is CORRECT!!!!!!!!!!!!!!!!

Each of the options below describes a relationship that you need to graph in a coordinate plane. which of the options will have a slope of 50? select all that apply.

A.) Driving 450 miles in 9 hours
B.) Reading 250 pages in 5 hours
C.) Buying 4 suit jackets for $240
D.) Spending $200 on 5 pairs of shoes​

Answers

You correct answer would be a.

The slope of 50 will have the two situations written below,

A.) Driving 450 miles in 9 hours

B.) Reading 250 pages in 5 hours

What is coordinate geometry?

A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.

Given that each of the options below describes a relationship that you need to graph in a coordinate plane.

The relationship showing the slope of 50 is:-

Driving 450 miles in 9 hours,

Slope = 450 / 9 = 50

Reading 250 pages in 5 hours

Slope = 250 / 5 = 50

To know more about coordinate geometry follow

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10 divided by 12 yeah

Answers

Answer:

10 divided by 12 equals 0.833333333

Solve for k.
6 (k + 2) +1 = 13

Answers

Answer:

k=0

Step-by-step explanation:

6(k+2)+1=13 first  distribute

6k+12+1=13 then combine like terms

6k+13=13   then subtract 13

    -13   -13

6k=0 then divide 6

/6    /6

k=0

Kailey correctly graphed the opposite of –3.3 on the number line.

A number line going from negative 5 to positive 5. Point A is between negative 4 and negative 3, point B is between negative 3 and negative 2, point C is at 3.3, and point D is at 3.9.

Which point could be the point Kailey graphed?
A
B
C
D

Answers

Point a because -3 is between -4 and -3

Answer:

C

Step-by-step explanation:

The opposite of  negative 3.3 is positive 3.3 or just 3.3 so therefore the answer would be C as it is slightly ahead of 3 on the number line but not so far as to indicate anything larger.

This is my last problem is the answer right or wrong

Answers

I need help on that one to‍♀️

please help me i will literally pay you 5$

Answers

Answer:

1. 20

2. Segment SW equals 8

Step-by-step explanation:

Setup the equation 6x+5=8x and then solve for x. x comes out to be 5/2. The substitute that in for x and solve. 6(5/2)+5 and this equals 20, your solution.

Segment SW=8 because of the perpendicular bisector theorem. It states that if a point lies on the perpendicular bisector of a segment, then it is equidistant from the endpoints of that segment (i.e., equal length). This makes Segment SW=8

If you can please make my answer the brainliest that would be much appreciated. Thanks!

And gimme them $5

i need help on this quickly plz will mark brainleist

Answers

The answer is the second one x=-1/2

The equations 3x-4y=-2 4x-y=4, 3x+4y = 3, and 4x+y=-4 are shown on the graph below.
ch
5
0
5 X
Which is the approximate solution for the system of equations 3x+4y = 2 and 4x+y=-4?
(-1.4,1.5)
(1.4,1.5)
(0.9,-0.2)
(-0.9,-0.2)
Pls help I’m timed

Answers

(-1,4,1.5)

Solve by graphing, the lines intersect near the point.

Answer: (-1.4,1.5)

Step-by-step explanation:

What is -2.63 + 3 1/4

Answers

Answer:

5.88.........................

.

0.00000012+8*10^-7 scientific notation

Answers

Answer:

9.2*10^-7

Step-by-step explanation:

Move decimal until there is one number to the left.  The number of times moved will be the exponent.  If the decimal moves left the exponent is positive, if it moves left it is negative.

So 0.00000012=1.2*10^-7

1.2*10^-7 + 8*10^-7

9.2*10^-7

-4,11)(-9,6)

Find x and y intercepts!! show work plzzz

Answers

Answer:

(-15, 0) --> x intercept

(0, 15) --> y intercept

Step-by-step explanation:

First, you need to find the equation of the line:

gradient equals 1 --> (6 - 11)/(-9 - (-4))

y = x + c

sub point (-9, 6)

6 = -9 + c

c = 6 + 9

c = 15

Equation of line: y = x + 15

x-intercept is when y = 0

0 = x + 15

x = -15 (that's the x-intercept)

(-15, 0)

y-intercept is when x = 0

y = 0 + 15

y = 15 (this is the y-intercept). The y-intercept is also the contant 'c'

(0, 15)

find the measure of each numbered angle ​

Answers

angle 2 is 360- 258= 102

Answer:

102 degrees

Step-by-step explanation:

angle in a point is equal to 360 degrees

so 163+95=258

360-258=102


Suppose that an individual has a body fat percentage of 15.6% and weighs 156 pounds. How many pounds of his weight is
made up of fat? Round your answer to the nearest tenth.

Answers

Answer:

Percent or percentage or

%

means "per 100" or "out of 100". Therefore

12.3

%

=

12.3

100

.

So 12.3% of 129 pounds is:

12.3

100

129

1586.7

100

15.867

hops this help ✨

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