Marissa bought 4 cans of corn and 8 cans of green beans for a total of $7.00. Bob bought 8 cans of corn and 7 cans of green beans for a total of $8.60. Determine how much each can green beans cost.

Answers

Answer 1

Step-by-step explanation:

1 can of corn = c

1 can of green beans = b

Marissa-> 4c+8b=7

Bob-> 8c+7b=8.60

form a simultaneous equation:

4c+8b=7

8c+7b=8.60

find a common coefficient, e.g. make the number of cans of corn that Marissa has, equal to the number of cans of corn that Bob has, so you would multiply the top equation by 2, so both people have 8 cans of corn

8c+16b=14

8c+7b=8.60

now you can cancel out the cans of corn, and subtract the second equation from the first one, so you would get:

16b-7b=9b

14-8.60= 5.4

so, 9b=5.4, and b= 0.6

so 1 can of green beans would cost $0.60


Related Questions

Find two integers whose sum is 19 and product is 90​

Answers

Answer:

Step-by-step explanation:

The two integers are 10 and 9

10 + 9 = 19

10 x 9 = 90

The two numbers are 9 and 10.

What are integers?

A number without a decimal or fractional element is known as an integer, which can be both positive and negative, including zero

Let the two integers be x and y.

Given that, the sum of the integers is 19, therefore,

x + y = 19

x = 19 - y

Given that, the product of the integer is 90:

xy = 90

(19-y)y = 90

19y - y² = 90

y² -19y + 90 =0

y² -10y - 9y + 90 = 0

y(y - 10) -9(y - 10) = 0

(y -9)(y - 10) = 0

y = 9 and y = 10

Hence, the two numbers are 9 and 10.

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Gloria pays her insurance three times each year. The first payment is 50% of the annual
premium, and each of the next two payments is 25% of the annual premium. If the annual premium is
$1024, how much is each payment?

Answers

Answer:

First payment (50%) would be 512$

The next two payments would be 32$ each

Explanation:

.5(1024)= 512

.25(512)=128

.25(128)= 32

Consider the following.
cos(x) = x3
A) Prove that the equation has at least one real root.
The equation cos(x) = x3 is equivalent to the equation f(x) = cos(x) − x3 = 0. f(x) is continuous on the interval (0, 1) there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation cos(x) = x3, in the interval (0, 1).
B) Use your calculator to find an interval of length 0.01 that contains a root.

Answers

Answer:

Step-by-step explanation:

Given that:

cos(x) = x³

f(x) = cos (x) - x³

f(x) is continuous on the interval (0, 1)

when;

f(0) = cos (0) - (0)

f(0) = 1 - 0

f(0) = 1 > 0

f(1)  = cos (1) - 1³

f(1) = 0.5403 - 1

f(1) = -0.4597

f(1) = - 0.46

f(1) = - 0.46 < 0

Since, 1 > 0 > -0.46, thus there is a number ''c" in (0,1)

such that f(c) = 0

By applying the Intermediate Value Theorem, there is a root of the equation in the interval (0,1)

b) Given that:

The interval length = 0.01; this implies that it is 0.005 length from its root.

f(0.865) = 0.0014

f(0.87) = - 0.013

The solution to the interval lies between 0.865 , 0.87 by using a calculator at length 0.01.

In a bag of coloured jellybeans, the ratio of yellow to orange to red is 6 : 5 : 4. If there are 60 jellybeans in the bag, how many of each colour are there?

Answers

Yellow: 24
Orange: 20
Red: 16

Explanation:

6 + 5 + 4 = 15

60 / 15 = 4

Y : 6 x 4 = 24
O: 5 x 4 = 20
R: 4 x 4 = 16

Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:

Yellow = 24 jellybeansOrange = 20 jellybeans Red = 16 jellybeans

To find the number of yellow jellybeans:

= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total

= 6 / (6 + 5 + 4) x 60

= 24 yellow jellybeans

Orange jellybeans:

= 5 / 15 x 60

= 20 orange jellybeans

Red jellybeans:

= 4 / 15 x 60

= 16 red jellybeans

In conclusion, there are several colors of jellybeans.

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8(-4a + 8b) = 240please​

Answers

Answer:

= -32a+64b

Step-by-step explanation:

thats the answer

Solve for x.
9(x + 1) = 25 + x
O x= 2
O x = 3
0 x = 4
O x = 5

Answers

Answer:

Step-by-step explanation:

9(x+1)=25+x

9x+9=25+x  subtract x both sides

8x+9=25    subtract 9 both sides

8x=16  divide by 8

x=2

help im being timed what is the perimeter of this triangle?!

Answers

Answer:

AB + BC + CA

Step-by-step explanation:

12b-8 + 12b- 8 + 9b+8

33b - 8

To find the PERIMETER of a triangle, add the length of its sides.EXAMPLE ⇒ If a triangle has sides a, b, and c, then the perimeter of that triangle will be P = a + b + c. NOTE: The P stands for PERIMETERHope this helpsGod bless

Help please it’s needed!

Answers

Can I see the options for the answers?

The diagram shows a triangle.
45°
38°
What is the value of s?

Answers

Answer:

97 degrees

Step-by-step explanation:

If 45 + 38 = 83

A triangle is 180 always

so 180-83=97

Every month Michael pays $39.95 for phone service plus $0.10 for every text message over a preset limit. Which equation represents the amount of money Michael pays for phone service each month, y, with x text messages over the limit? what is the equation?

Answers

39.95+.10x=y
X being the text messages and y the amount paid

⚠️⚠️What is the output value, if the input value is 30?⚠️⚠️

THIS IS MY LAST ONE HELP

Answers

Answer:

15

Step-by-step explanation:

15 is half of 30, the output values are the input values divided by 2 :)

what is the answer to (-3)×(-5)

Answers

Answer:

15

Step-by-step explanation:

-3 x -5 = 15

Quiz 3-3 Parallel and Perpendicular Lines on the Coordinate Plane (Gina Wilson All Things Algebra 2014-2019) need these for a quiz please!

Answers

Answer:

14. [tex]y = -2x -1[/tex]

15. [tex]y = -\frac{3}{4}x +3[/tex]

16. [tex]y= 4x + 9[/tex]

17. [tex]y = -\frac{5}{3}x -2[/tex]

18. [tex]y= -\frac{2}{3}x -5[/tex]

19. [tex]y = 4x -3[/tex]

20. [tex]y = -3x -7[/tex]

Step-by-step explanation:

Solving (14):

Given

[tex](x_1,y_1) = (-7,13)[/tex]

[tex]Slope (m) = -2[/tex]

Equation in [tex]slope- intercept[/tex] form is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1

[tex]y - 13 = -2(x -(-7))[/tex]

[tex]y - 13 = -2(x +7)[/tex]

[tex]y - 13 = -2x -14[/tex]

Collect Like Terms

[tex]y = -2x -14 + 13[/tex]

[tex]y = -2x -1[/tex]

Solving (15):

Given

[tex](x_1,y_1) = (-4,6)[/tex]

[tex]Slope (m) = -\frac{3}{4}[/tex]

Equation in [tex]slope- intercept[/tex] form is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1

[tex]y - 6 = -\frac{3}{4}(x - (-4))[/tex]

[tex]y - 6 = -\frac{3}{4}(x +4)[/tex]

[tex]y - 6 = -\frac{3}{4}x -3[/tex]

Collect Like Terms

[tex]y = -\frac{3}{4}x -3 + 6[/tex]

[tex]y = -\frac{3}{4}x +3[/tex]

Solving (16):

Given

[tex](x_1,y_1) = (-5,-11)[/tex]

[tex](x_2,y_2) = (-2,1)[/tex]

First, we need to calculate the [tex]slope\ (m)[/tex]

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

[tex]m = \frac{1 - (-11)}{-2 - (-5)}[/tex]

[tex]m = \frac{1 +11}{-2 +5}[/tex]

[tex]m = \frac{12}{3}[/tex]

[tex]m = 4[/tex]

Equation in [tex]slope- intercept[/tex] form is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1

[tex]y - (-11) = 4(x -(-5))[/tex]

[tex]y +11 = 4(x+5)[/tex]

[tex]y +11 = 4x+20[/tex]

Collect Like Terms

[tex]y= 4x + 20 - 11[/tex]

[tex]y= 4x + 9[/tex]

Solving (17):

Given

[tex](x_1,y_1) = (-6,8)[/tex]

[tex](x_2,y_2) = (3,-7)[/tex]

First, we need to calculate the [tex]slope\ (m)[/tex]

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

[tex]m = \frac{-7 - 8}{3- (-6)}[/tex]

[tex]m = \frac{-7 - 8}{3+6}[/tex]

[tex]m = \frac{-15}{9}[/tex]

[tex]m = -\frac{5}{3}[/tex]

Equation in [tex]slope- intercept[/tex] form is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1

[tex]y - 8 = -\frac{5}{3}(x -(-6))[/tex]

[tex]y - 8 = -\frac{5}{3}(x +6)[/tex]

[tex]y - 8 = -\frac{5}{3}x -10[/tex]

Collect Like Terms

[tex]y = -\frac{5}{3}x -10 + 8[/tex]

[tex]y = -\frac{5}{3}x -2[/tex]

18.

Given

[tex](x_1,y_1) = (-6,-1)[/tex]

[tex]y = -\frac{2}{3}x+1[/tex]

Since the given point is parallel to the line equation, then the slope of the point is calculated as:

[tex]m_1 = m_2[/tex]

Where [tex]m_2[/tex] represents the slope

Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison

[tex]m = -\frac{2}{3}[/tex]

and

[tex]m_1 = m_2 = -\frac{2}{3}[/tex]

Equation in [tex]slope\ intercept\ form[/tex] is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1

[tex]y - (-1) = -\frac{2}{3}(x - (-6))[/tex]

[tex]y +1 = -\frac{2}{3}(x +6)[/tex]

[tex]y +1 = -\frac{2}{3}x -4[/tex]

[tex]y= -\frac{2}{3}x -4 - 1[/tex]

[tex]y= -\frac{2}{3}x -5[/tex]

19.

Given

[tex](x_1,y_1) = (-2,-11)[/tex]

[tex]y = -\frac{1}{4}x+2[/tex]

Since the given point is parallel to the line equation, then the slope of the point is calculated as:

[tex]m_1 = -\frac{1}{m_2}[/tex]

Where [tex]m_2[/tex] represents the slope

Going by the format of an equation, [tex]y = mx + b[/tex]; by comparison

[tex]m_2 = -\frac{1}{4}[/tex]

and

[tex]m_1 = -\frac{1}{m_2}[/tex]

[tex]m_1 = -1/\frac{-1}{4}[/tex]

[tex]m_1 = -1*\frac{-4}{1}[/tex]

[tex]m_1 = 4[/tex]

Equation in [tex]slope\ intercept\ form[/tex] is:

[tex]y - y_1 = m(x-x_1)[/tex]

[tex](x_1,y_1) = (-2,-11)[/tex]

Substitute values for y1, m and x1

[tex]y - (-11) = 4(x - (-2))[/tex]

[tex]y +11 = 4(x +2)[/tex]

[tex]y +11 = 4x +8[/tex]

Collect Like Terms

[tex]y = 4x + 8 - 11[/tex]

[tex]y = 4x -3[/tex]

20.

Given

[tex](x_1,y_1) = (-10,3)[/tex]

[tex](x_2,y_2) = (2,7)[/tex]

First, we need to calculate the slope of the given points

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

[tex]m = \frac{7 - 3}{2 - (-10)}[/tex]

[tex]m = \frac{7 - 3}{2 +10}[/tex]

[tex]m = \frac{4}{12}[/tex]

[tex]m = \frac{1}{3}[/tex]

Next, we determine the slope of the perpendicular bisector using:

[tex]m_1 = -\frac{1}{m_2}[/tex]

[tex]m_1 = -1/\frac{1}{3}[/tex]

[tex]m_1 = -3[/tex]

Next, is to determine the coordinates of the bisector.

To bisect means to divide into equal parts.

So the coordinates of the bisector is the midpoint of the given points;

[tex]Midpoint = [\frac{1}{2}(x_1+x_2),\frac{1}{2}(y_1+y_2)][/tex]

[tex]Midpoint = [\frac{1}{2}(-10+2),\frac{1}{2}(3+7)][/tex]

[tex]Midpoint = [\frac{1}{2}(-8),\frac{1}{2}(10)][/tex]

[tex]Midpoint = (-4,5)[/tex]

So, the coordinates of the midpoint is:

[tex](x_1,y_1) = (-4,5)[/tex]

Equation in [tex]slope- intercept[/tex] form is:

[tex]y - y_1 = m(x-x_1)[/tex]

Substitute values for y1, m and x1: [tex]m_1 = -3[/tex] & [tex](x_1,y_1) = (-4,5)[/tex]

[tex]y - 5 = -3(x - (-4))[/tex]

[tex]y - 5 = -3(x +4)[/tex]

[tex]y - 5 = -3x-12[/tex]

Collect Like Terms

[tex]y = -3x - 12 +5[/tex]

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

1. Determine which of the congruency shortcuts can be used to prove that point
the triangles are congruent.
+
SSS
SAS
ASA
AAS
HL
Not enough information

Answers

Answer:

SSS

Step-by-step explanation:

it shows that all three sides are congruent by the congruency lines

it does not show any angles, and it does not show only one or two sides are congruent

How do you write 352 in expanded form

Answers

Answer:

300+ 50 + 2

Step-by-step explanation:

If you add 300+50+2 you get 352 all you need to do is break down the number to pieces! :)

Answer: 300 + 50 + 2

Explanation:

The number 352 has 3 in the hundreds place, 5 in the tens place, and 2 in the ones place.

So that's why 352 = 300 + 50 + 2

HELP ASAP OTS DUE IN 5 MINUTES!!!!

Find the slope of the line.

0-5
0 -1
O 1
None of the above

Answers

Answer:

0 -1

Step-by-step explanation:

because the line is going down which is negative

solve an equation x/17= -4

Answers

Answer:

-68

Step-by-step explanation:

X/17=-4

X=-68

So the answer is -68

Help!!Find the y-intercept of the line on the graph.
Enter the correct answer.

Answers

The y-intercept of the graph is -3

How to find the y-intercept of a graph?

The y-intercept is the point where the line intersects the y-axis. This is the value of y when x is equals to zero.

Using slope intercept formula,

y = mx + b

where

m = slopeb = y-intercept

Now, let's trace the value of y when x = 0 in the graph.

Therefore,

when x = 0, y = -3

Hence, the y-intercept of the graph is -3

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Plz plz plz I need 546463+54543 times 64 it’s due in 4 min

Answers

Woah! Those are some big numbers! Anyways heres my answer: I used the old school way of fuigreing this out but using the pencil and paper I fuigred out 546463+54543 is equal to 601006 and if you were to multiply this by 64 (it took a LONG time for me and quite a few mess ups) its 38464384. Though I gave you the answer I'm just wondering if you could use a calculator because it would be a whole lot easier if you were able to do so.

In Joey's neighborhood the ratio of families with dogs to families with cats is 5 to 2. There are 15 more families with dogs than families with cats. How many families have cats, and how many families have dogs?

Answers

Answer:

10 families have cats

25 families have dogs

Step-by-step explanation:

The difference of ratio units is 5-2 = 3. The difference in pet counts is 15, so we can see that each ratio unit stands for 15/3 = 5 pets. Then ...

 dogs : cats = 5 : 2 = (5·5) : (2·5) = 25 : 10

There are 10 families with cats and 25 families with dogs.

Answer:

B D and E.

Step-by-step explanation:

What is the equation of the linear function?
= -x + 6
A
y = -2x + 3
y=-3x +3
y = ;& + 3
Done

Answers

Yes it’s the 2 choice

5x +9–3(x-1)=(3x –13)+(4x -30)
Help please

Answers

Answer:

x = 11

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

5x + 9 - 3(x - 1) = (3x - 13) + (4x - 30)

Step 2: Solve for x

Distribute 3:                              5x + 9 - 3x + 3 = 3x - 13 + 4x - 30Combine like terms:                 2x + 12 = 7x - 43Subtract 2x on both sides:      12 = 5x - 43Add 43 on both sides:             55 = 5xDivide 5 on both sides:            11 = xRewrite:                                     x = 11

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Substitute in x:                    5(11) + 9 - 3(11 - 1) = (3(11) - 13) + (4(11) - 30)Multiply:                               55 + 9 - 3(11 - 1) = (33 - 13) + (44 - 30)Subtract:                              55 + 9 - 3(10) = 20 + 14Multiply:                               55 + 9 - 30 = 20 + 14Add:                                     64 - 30 = 34Subtract:                              34 = 34

Here we see that 34 does indeed equal 34.

∴ x = 11 is a solution of the equation.

Answer:

x=11

Step-by-step explanation:

[remember: (-)(-) is (+) , (-)(+) is (-) , (+)(+) is (+)]

5x + 9 – 3(x-1) = (3x –13) + (4x -30)

5x + 9 -3x + 3 = 3x -13 + 4x -30

5x -3x + 9 + 3 = 3x + 4x -13 -30

2x + 12 = 7x - 43

2x - 7x = -43 - 12

-5x = -55

x = -55/-5

x = 11

hope you understood!!

Will give brainliest if correct.

Answers

Answer:

Step-by-step explanation:

a. $7.

b. $1x.

c. $20.

d. $5y.

e. $1x + $5y.

I hope this helps, sorry if I am incorrect. Have a nice day!

What is the slope of 3x-2y=7?

Answers

Answer:

The slope is -3/2

Step-by-step explanation:

Hope this helped have a good day!

what are the three products of celullar respiration

Answers

Answer:

Cellular respiration is this process in which oxygen and glucose are used to create ATP, carbon dioxide, and water. ATP, carbon dioxide, and water are all products of this process because they are what is created.

Step-by-step explanation:

Solve for x in the equation: 2x-7=14

Answers

Add 7 to both sides
2x = 21
Divide by 2
X = 10.5

Answer: x=10.5

Step-by-step explanation:

To solve for x, we want to use our properties to isolate x.

2x-7=14           [add both sides by 7]

2x=21              [divide both sides by 2]

x=10.5

Now, we know that x=10.5.

What is the answer to this
2(x-5)-6=-18

x=___

Answers

Answer:

x= -1

Step-by-step explanation:

Distribute:

2(x -5) -6 = -18

2x -10 -6 =-18

Subtract the numbers:

2x -10 -6 =-18

2x -16 = -18

Add 16 to both sides of the equation:

2x =16 += -18

2x -16 +16 = -18 +16

Simplify:

2x = -2

Divide both sides of the equation by the same term:

2x/2 = -2/2

Simplify:

x=-1

Answer:

x = -1


(PLEASEEE HELP) Which graph of which line represents a
proportional relationship?
Graph A
Graph B
Graph C
Graph D
Look carefully at the graph of multiple graphs shown below. Which of the graphs
represents or shows a proportional relationship?

Answers

Graph B represents a proportional relationship.

Answer:

B

a proportional relationship in a graph needs to go through the 0.0, and also needs to be a stright line.

Can someone help me with 5-6

Answers

Answer:

B, C

Step-by-step explanation:

I love slope

a line has a slope of 8 and a y intercept of 9 what is its equation in slope intercept form

Answers

Answer:

y= 8x +9

Step-by-step explanation:

Slope-intercept form:

y= mx +c, where m is the slope and c is the y-intercept.

Given that the slope is 8, m= 8.

Substitute m= 8 into the equation:

y= 8x +c

Given that the y-intercept is 9, c= 9.

Substitute c= 9 into the equation:

y= 8x +9

Thus, the equation of the line is y= 8x +9.

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