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NISA [10]
3 years ago
9

A cookie factory uses 1/6 of a bag of flour in each batch of cookies. The factory uses 5/6 of a bag of flour yesterday. How many

batches of cookies did the factory make?
Mathematics
1 answer:
aliina [53]3 years ago
7 0


From the information given, each batch of cookies requires 1/6 of a bag of flour.

So how many batches can be gotten from 5/6 of the bag of flour?

We form an equation

1batch  = 1/6

x batches = 5/6

Where x is the number of batches from 5/6 bag of flour.

Cross multiplying this equation we get:

x * 1/6 = 1 * 5/6

simplify it:

x * 0.16 = 1 * 0.83

x = 1 * 0.83 / 0.16

x = 0.83 / 0.16

x =  5.2

Therefore  factory made approximately 5 batches of cookies yesterday.

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A pyramid with a slant height 4.6 in whose triangular base measures 8 in on each side.Each altitude of the base measures of 6.9
kvasek [131]

Answer:

82.8 in²

Step-by-step explanation:

The surface area a triangular based pyramid :

Base area + 1/2(perimeter * slant height)

Base = 8 inches ; Slant height = 4.6 inches ; altitude of base measure = 6.9 inches

Base area of triangle :

1/2 * base * height

1/2 * 8 * 6.9

4 * 6.9

Base area = 27.6 in²

The perimeter, P = sum of sides ; (s1 + s2 + s3

P = 8 + 8 + 8 = 24 in

Hence,

Surface area = 27.6 in² + 1/2(24*4.6)

Surface area = 27.6 in² + (12 * 4.6) in²

Surface area = (27.6 + 55.2)

Surface area = 82.8 in²

6 0
3 years ago
Larry wants to enlarge a cube with edges of 3cm so that it's volume will be 8 times larger. How long must each edge of the enlar
Monica [59]
The answer is 6 inches, 3*3*3 equals 27, the current volume of the cube, 27*8 equals 216, the new volume, 6*6*6 equals 216, so the side lengths equal 6 inches.
6 0
3 years ago
What is the gcf of 18a and 20ab
oksian1 [2.3K]

Answer:

2

Step-by-step explanation:

the biggest number they can both divide by is 2.

7 0
3 years ago
Read 2 more answers
A rectangular prism have the dimensions, 3.5ft by 4ft by 5.2 ft. What is the volume of this 2
MrMuchimi

Answer:

Step-by-step explanation:

The units are cubic feet or ft^3

V = L * W * H

L = 5.2

W = 4

H = 3.5

All dimensions are in feet.

V = 5.2 * 4 * 3.5

V = 72.8 ft^3

5 0
2 years ago
Please answer Thank you please answer hurry PLease
Alik [6]

Answer:

$(80.5x + 69)

Step-by-step Explanation:

Recall, distributive property of multiplication can simply be expressed as follows, x(y + z) = xy + xz or x(y - z). Where x, y, and z could be any number.

Now, let's use the distributive property to show the total costs of plants Gloria decides to buy as an expression and also simplify it.

Thus, Gloria buys:

4 ferns = 4(0.5x - 3) = 4(0.5x) - 4(3) = $(2x - 12)

2 palms = 2(10x - 2.50) = 2(10x) - 2(2.50) = $(20x - 5.00)

10 lilies = 10(5 + 0.25x) = 10(5) + 10(0.25x) = $(50 + 2.5x)

8 shrubs = 8(4.50 + 7x) = 8(4.50) + 8(7x) = $(36 + 56x)

Total cost of the plants = (2x - 12) + (20x - 5) + (50 + 2.5x) + (36+ 56x)

Open the parentheses and then simplify:

Total cost = 2x - 12 + 20x - 5 + 50 + 2.5x + 36 + 56x

= 2x + 20x + 2.5x + 56x - 12 - 5 + 50 + 36

Total cost = $(80.5x + 69)

5 0
3 years ago
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