Heather is putting together bags of groceries to donate to charity. She has 60 boxes of macaroni and cheese and 48 cans of soup. Heather wants to divide them up evenly so that each bag has the same contents and no items are leftover. What is the greatest number of bags of groceries Heather can put together? How many boxes of macaroni and cheese and how many cans of soup will be in each bag?

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Group 1:

μ1 = 59.7

s1 = 2.8

n1 = sample size = 12

Group 2:

μ2 = 64.7

s2 = 8.3

n2 = sample size = 15

α = 0.1

Assume normal distribution and equ sample variance

A.)

Null and alternative hypothesis

Null : μ1 = μ2

Alternative : μ1 < μ2

B.)

USing the t test

Test statistic :

t = (m1 - m2) / S(√1/n1 + 1/n2)

S = √(((n1 - 1)s²1 + (n2 - 1)s²2) / (n1 + n2 - 2))

S = √(((12 - 1)2.8^2 + (15 - 1)8.3^2) / (12 + 15 - 2))

S = 6.4829005

t = (59.7 - 64.7) / 6.4829005(√1/12 + 1/15)

t = - 5 / 2.5108165

tstat = −1.991384

Decision rule :

If tstat < - tα, (n1+n2-2) ; reject the Null

tstat < t0.1,25

From t table :

-t0.1, 25 = - 1.3163

tstat = - 1.9913

-1.9913 < - 1.3163 ; Hence reject the Null

Answer:

The answer would be C Hope this helps :)

Step-by-step explanation:

Answer:

C, D, E

Step-by-step explanation:

A. and B. are both less than or equal to 34.06. The others are greater than 34.06

can be tested by subtracting 34.06 by the other numbers and with a negative result, it is greater than 34.06.  for example 34.06 - E. (54.06) = -20

so E(54.06) is greater than 34.06. If you couldn't already tell.

B is incorrect because it is equal to 34.06. A also is incorrect. This is because it is less than 34.06. 34.06 - A.(18.058) = 16.002. The result of a positive number means it is less than the number on the right of the inequality sign.

Answer:B

Step-by-step explanation:

A reflection of the line segment across the line y = - x, will produce an image with endpoints at (- 4, 1) and (- 1, - 4).

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

We know, A reflection across the 180° about the origin transforms

(x, y) to (-x, - y)

Therefore A line segment has endpoints at (-1, 4) and (4,1) will have an image at  (- 4, 1), and (- 1,- 4) is a reflection of the line segment across the line y = - x.

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Answer:

The answer is QR,RS, and ST

Step-by-step explanation:

i hope this helps .

Answer:

D. 2,5, and 6

Step-by-step explanation:

Because if u mutiply 2*5 = 10 and 2*6 is 12 as 5*6 is 30 and 2*9 is 18 .

Answer: n=16

Step-by-step explanation:2(n-7) = 18  

n - 7 = 9  

+7    +7

Answer:

2(x-7) ≥ 18

2x - 7 ≥ 18

     +7    +7

2x ≥ 25

2       2

x ≥ 12.5

Check

2((12.5) -7) ≥ 18

2(5.5) ≥ 18

11 ≥ 18

I think this works

Answer:

im not sure but it might V=2197cm³

Step-by-step explanation:

Step-by-step explanation:

12 / x¹⁴ = 12x⁻¹⁴

Integrate using power rule.

-12/13 x⁻¹³

-12 / (13x¹³)

You forgot the negative sign.

Answer:

12.9

Step-by-step explanation:

A square has even lengths on each side. Since there is 4 sides on a square. We divide perimeter by 4.

51.6/4 = 12.9 inches

The length of each side of the square is 12.9 inches if perimeter of square is 51.6 inches.

A quadrilateral is defined as a two-dimensional shape with four sides, four vertices, and four angles.

The perimeter of a square is the sum of the lengths of all its sides.

Let a be the length of each side of the square, then the perimeter P is given by:

P = 4a

We are given that the perimeter is 51.6 inches, so we can set up the equation:

51.6 = 4a

Solving for a, we divide both sides by 4:

a = 51.6/4

a = 12.9

Therefore, the length of each side of the square is 12.9 inches if perimeter of square is 51.6 inches.

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Answer:

y=-3/4x+0

Step-by-step explanation:

Answer:

∠ 53°

Step-by-step explanation:

[tex]Hope\\This\\Helps[/tex]

Answer: 0.9968

Step-by-step explanation:

Let [tex]\overline{X}[/tex] be the sample mean life of television.

Given: [tex]\mu=138,\ \ \ \sigma^2=324\Rightarrow\ \sigma=\sqrt{324}=18,\ \ \ , n=83[/tex]

The probability that the sample mean would be less than 143.4 months will be :

[tex]P(\overline{X}<143.4)=P(\dfrac{\overline{X}-\mu}{\dfrac{\sigma}{\sqrt{n}}}<\dfrac{143.4-138}{\dfrac{18}{\sqrt{83}}})\\\\=P(Z<2.733)=0.9969\ \ \ [\text{By p-value table}][/tex]

hence, the required probability = 0.9968

Answer:

Answer=44

Step-by-step explanation:

Rectangle: 6x4=24.

Triangle: 4x4=16, and 16/2=8.

Semicircle: Pi x radius squared, so pi x 2 squared is 16.something, and since it's a semicircle, we divide by 2, so it's 8 again.

Overall: 24+8+8=44 cm squared.

Answer:

He will love the Tea

Step-by-step explanation:

12 divided by 2 is 6

We take 6 ( the liter that he likes ) and multiply it by 15. This gives us 90, exactly what Peggy made.

Answer:

It is just right!

Step-by-step explanation:

12 divided by 2 is 6 . We take 6 and multiply it by 15. This gives us 90, which is exactly what Peggy made.

Answer: answer is $23

Step-by-step explanation:

first divide 6.90 by 3

and you should get 2.3

Then you multiply 2.3 by 10

and you should get $23

Answer:

Irrational Number

Step-by-step explanation:

Answer:

irrational because pi is a number that can not be converted into a fraction from and its infinite

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

oof give me your points

Step-by-step explanation:

Answer:

The scale is by 4 becuase if you mutiply 4 by the numbers on the smaller triangle then you will get the numbers on the larger triangle.

Step-by-step explanation:

x = 3

Hi there !

3x + 2 = 11

3x = 11 - 2

3x = 9

x = 9/3

x = 3

Good luck !

Answer:

48 lbs

Step-by-step explanation:

say that the cat weighs x pounds. then the dog weighs 8x pounds. together they weigh 54 pounds. So our equation is x+8x=54. solve for x to get the cat's weight, and you get x=6. The cat weighs 6 lbs. all I need to do now is multiply 6 by 8 so this the dog weighs 8 times as much as the cat. 8•6=48. the dog weighs 48 pounds.

Answer:

Is that the question? I don't think it is

Answer:

NP = 5.39

Step-by-step explanation:

This is the answer because opposite diagonals have equal lengths.

In quadrilateral LMNO which is a parallelogram, diagonals bisect each other, hence NP = LP = 5.39

A polygon can be defined as a two-dimensional closed shape with straight sides and no curved side. Types of polygons are triangle, quadrilateral, pentagon, hexagon, etc.

A parallelogram is a quadrilateral (four sides and four angles) in which opposite sides are equal and parallel. Opposite diagonals bisect each other.

In quadrilateral LMNO:

NP = LP = 5.39 (diagonals bisect each other)

In quadrilateral LMNO which is a parallelogram, diagonals bisect each other, hence NP = LP = 5.39

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Answer:

4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

well when we multiply to get a common denominator we get 25/30 and 12/30 so the only possible answer is 1/3

Answer:

Step-by-step explanation:

1. yes

2. no

3. -10 and 5

4. -6

5. 3x+3

6. 3x+4

7. 14xy^2-3y+7

8. -3y-7x

9. 10x -5

Answer:

1) yes they are if y is alone its just 1y so yes their like terms.

2)no 5xy^2 is different bc the exponent

3)5x-5

4)-6

5)3x+3

6)4+4x

7)14xy^2-3y+7

8)3y-7x

9)10x-5

Step-by-step explanation:

= 5x - 25 = -10

= 5x = -10 + 25 ( transposing-25 from LHS to RHS changes -25 to +25 )

= 5x = 15

= x = 15 ÷ 5 ( transposing ×5 from LHS to RHS changes ×5 to ÷5 l

= x = 3

Let us check whether or not we have found out the correct value by keeping 3 in the place of x :

= 5 × 3 - 25 = -10

= 15 - 25 = -10

= -10 = -10

LHS = RHS

We have found out the correct value of x .

Therefore x = 3 .

Answer:

It is the portion of the cost based on renting a car for d days

Step-by-step explanation:

Given:

Total cost = 15 + 18d

Total cost = fixed cost + variable cost

Fixed cost are cost that do not change.

Fixed cost = base rate = 15

Variable cost changes during production process. The variable cost in the above varies with the number of days (d)

Therefore, 18d is the portion of the cost based on renting a car for d days.

If you rent the car for 1 day

Total cost = 15 + 18d

= 15 + 18(1)

= 15 + 18

= 33

Answer:

A Drill Pickle

Step-by-step explanation:

A Drill Pickle is the overall answer sentence, tho I can't really do all the work for you. Just count the squares and after the first 4 do mutiplication of the base (hight)