You bought a can of black beans last week that cost $1.34. This week, the store advertised a sale where 5 cans of beans cost $6.00. You bought one can of beans this week as well. Find the cost per can, and determine how much less the can of beans cost this week compared to last week.

Answer:

The solutions to the system of equations are:

[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]\begin{bmatrix}2x-y=65\\ 5y=x\end{bmatrix}[/tex]

isolate 'x' for 2x-y

[tex]2x-y=65[/tex]

Add y to both sides

[tex]2x-y+y=65+y[/tex]

[tex]2x=65+y[/tex]

Divide both sides by 2

[tex]\frac{2x}{2}=\frac{65}{2}+\frac{y}{2}[/tex]

[tex]x=\frac{65+y}{2}[/tex]

[tex]\mathrm{Subsititute\:}x=\frac{65+y}{2}[/tex]

isolate 'y' for  [tex]5y=\frac{65+y}{2}[/tex]

[tex]5y=\frac{65+y}{2}[/tex]

[tex]10y=65+y[/tex]

subtract y from both sides

[tex]10y-y=65+y-y[/tex]

[tex]9y=65[/tex]

Divide both sides by 9

[tex]\frac{9y}{9}=\frac{65}{9}[/tex]

[tex]y=\frac{65}{9}[/tex]

[tex]\mathrm{For\:}x=\frac{65+y}{2}[/tex]

[tex]\mathrm{Subsititute\:}y=\frac{65}{9}[/tex]

[tex]x=\frac{65+\frac{65}{9}}{2}[/tex]

[tex]x=\frac{325}{9}[/tex]

The solutions to the system of equations are:

[tex]x=\frac{325}{9},\:y=\frac{65}{9}[/tex]

Answer:

B

Step-by-step explan

150 divide by 25

25 divide by 25

Answer:

I believe that the answer is 8 because you have 1 inch =1/8 inch since you need eight 1/8 inches to equal one whole inch, it should be 8 inches

Step-by-step explanation:

The scale factor of the drawing if the scale is 1 inch = 1/8 inch is

A scale drawing is a drawing made by enlarging or reducing the size of the original object.

The factor by which the drawing is enlarged or reduced is called the scale factor.

Given that,

Scale of a drawing is,

1 inch = 1/8 inch

That is, a drawing is drawn for which it is drawn 1/8 inch for actual dimension of 1 inch.

So, drawing is reduces by 1/8

So scale factor = 1/8

Hence the scale factor of the drawing is 1/8.

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Answer:

True

Step-by-step explanation:

x=5+7=12

The only solution is x=12.

Answer:

15.4%

Step-by-step explanation:

Calculate the volume of both containers.

The volume (V) of a cylinder is calculated as

V = πr²h ( r is the radius and h the height )

[tex]V_{A}[/tex] = π × 10² × 11 = 1100π ft³

[tex]V_{B}[/tex] = π × 7² × 19 = 931π ft³

Subtract volume of B from volume of A to find quantity left in A

quantity left in A = 1100π - 931π = 169π ft³

To calculate the percentage left in A after B has been filled

[tex]\frac{left}{full}[/tex] × 100%

= [tex]\frac{169\pi }{1100\pi }[/tex] × 100%

= [tex]\frac{169}{1100}[/tex] × 100%

= 15.4% ( to the nearest tenth )

Answer:

- 1625

Step-by-step explanation:

420 times 4 = 1680

1624 - 1680 = -56

-56 - 600 - 1000 = -1625

BRAINLIEST PLEASE

Answer: 8y -3

Step-by-step explanation:

3(2y -1) + 2y

6y -3 + 2y

8y -3

Answer:

8 y - 3

Step-by-step explanation - I got it from google so its right 100%

Answer:

Step-by-step explanation:

C

The theorem that applies is Similar SAS.

The correct option is C.

Those triangles look the same but are different in size.

And in similar triangles,

the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.

Given information:

SM = 27, angle SMA = 31 degrees, MA = 15, DL = 9, LE = 5 and Angle DLE = 31 degrees.

From the given information, we know that angle SMA is congruent to angle DLE because they both have a measure of 31 degrees. However, we do not have any information about the other angles in the two triangles.

To check if the corresponding sides are proportional, we can compare the ratios of the corresponding side lengths:

SM/ DL = 27/9 = 3

MA/LE = 15/5 = 3

Since the ratio of SM to DL is equal to the ratio of MA to LE, we know that the corresponding sides are proportional.

Therefore, we can use the Similarity-SAS (Side-Angle-Side) postulate to conclude that the triangles are similar. The postulate states that if two pairs of corresponding sides are proportional and the included angles are congruent, then the triangles are similar.

The answer is (C) Similar - SAS.

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Answer:

90° degrees

Step-by-step explanation:

cause if you look closely inside the semi circle is a right angle and a right angle is 90°

Answer:

I think it is X or Y. I might be wrong.

Answer:

∠Y = 85°  , side XZ

Step-by-step explanation:

180 = 5x - 1 + 8x + 5 + 4x + 6

180 + 1 - 5 - 6 = 5x + 8x + 4x

170 = 17x

x = 170 / 17

x = 10

∠X = 5(10) - 1 = 49°

∠Y = 8(10) + 5 = 85°

∠Z = 4(10) + 6 = 46°

therefore, the longest side of a triangle is the opposite site of

∠Y = 85°  , side XZ

Answer:

I believe its A. y=-x C and D.

Please correct If I am wrong Please and thank you

Step-by-step explanation:

9514 1404 393

Explanation:

1. ΔABC ≅ ΔDEF . . . . . 1. SAS postulate*

_____

The two given congruent sides are either side of the given congruent angle, so the SAS postulate applies. The objective appears to be irrelevant.

Answer:

15x-5=y

Step-by-step explanation:

The equation of the line will be written as y = 15x - 5.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The given data is,

The number of diamonds          Total number of points earned

      1                                                             10    

      2                                                            25

      3                                                            40    

      4                                                            55  

      5                                                            70

The slope of the line will be,

Slope = ( 25 - 10 ) / 1

Slope = 15

The y-intercept of the line,

y = mx + c

y = 15x + c

10 = 15 + c

c = -5

The equation will be written as,

y = mx + c

y = 15x - 5

Therefore, the equation of the line will be written as y = 15x - 5.

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Answer:

Answer in photo

Step-by-step explanation:

Answer:

G is equal to (8, -11)

Step-by-step explanation:

We are given the midpoint and one end of the line segment.  We can find the other end of it by taking the distance from H to M, doubling it, and adding that to H:

[tex]G(x, y) = H(x, y) + 2(M(x, y) - H(x, y))\\\\G_x = H_x + 2(M_x - H_x)\\G_x = -4 + 2(-6 - (-4))\\G_x = -4 + 2(-2)\\G_x = -4 - 4\\G_x = 8\\\\G_y = H_y + 2(M_y - H_y)\\G_y= 3 + 2(- 3 - 4)\\G_y= 3 - 6 - 8\\G_y = -11[/tex]

So the coordinates of endpoint G are (8, -11)

Answer:

7

Step-by-step explanation:

this can be written as an equation, which is 4x+2= 30

X = the number of friends

30= the total of stickers

4= the stickers each friend gets

2= the amount lan gets.

Now solve the equation, first subtract 2 on both sides, which is 28

4x=28 now divide both sides by 4, which will give you 7

x= 7, that means that answer is 7

Answer: x=2y=12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Convert the equation into mx+b format.

y=-1/2x + 6

Then, graph the line using the slope and y-intercept.

Answer:

the first one

Step-by-step explanation:

you get lower down payment but higher fee payment

Answer:

their correct

Step-by-step explanation:

Answer:

a)64

b)512

c)2^12

d)2^3m

Step-by-step explanation:

At every meal, 3 ounces of the cake is eaten

a) After 2 meals, the number of ounces consumed is 6 ounces

For each ounce, height is doubled , for 6 ounces, we have 2 * 2 * 2 * 2 * 2 * 2

Her height is multiplied by 64

b) After three meals

Total consumption is 3 * 3 = 9 ounces

So her height will be multiplied by 2^9 = 512

c) After four meals

Total ounces is 4 * 3 = 12

So her height will be multiplied by 2^12

d) After M meals

Number of ounces is m * 3 = 3m ounces

Her height will be multiplied by 2^3m

Answer:

A. [tex]8x^{6}[/tex]

Step-by-step explanation:

Answer:

8x6

Step-by-step explanation:

Answer:

131.25 miles

Step-by-step explanation:

if 1 inch equals 25 miles then you need to times 25 by 5.25 and you will get 131.25 miles.

Answer:

n <−4

42 - 28n + 4n >138

42 - 24n >138

-24n > 138 - 42

-24n >96

n <−96/24

N <−4

Answer:

1) rational

2) Irrational

3)rational

4) irrational

5) rational

Step-by-step explanation:

If it has a whole number answer and doesn't have never ending number its rational

Answer:

54

Step-by-step explanation:

As ◇PQS is congruent to ◇ PRS,

6n + 3=4n+11

n=4

QR=6×4+3+4×4+11

Answer:

 3.5x

Step-by-step explanation:

the medium box would be 1x, if small is half the size, its 0.5x, and large is 2x since its 2x the size of medium. add all of them up and its 3.5x size

Answer:

izuocha is superior

Step-by-step explanation:

Answer:

ochaochaochaocha

Step-by-step explanation:

sorry i trying to get attention from someone