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vlabodo [156]
3 years ago
5

Katya is baking cookies that require 8 1/2 grams of vanilla paste per batch. She has 22 1/5 grams of vanilla paste. How many bat

ches of cookies can she bake?
Mathematics
2 answers:
SashulF [63]3 years ago
7 0
She can make 2 batches.
UkoKoshka [18]3 years ago
7 0

Answer: 222/85

Step-by-step explanation:

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A 6000​-seat theater has tickets for sale at ​$28 and ​$40. How many tickets should be sold at each price for a sellout performa
solniwko [45]

Answer:

Manu tickets should $68 for 12

6 0
2 years ago
A bacteria culture starts with 100 bacteria and doubles in size every half hour.
taurus [48]

Answer:

y=25600

y=100(2)^{2t}

y=252

Step-by-step explanation:

A bacteria culture starts with 100 bacteria and doubles in size every half hour.

y=100(2)^{2x}

where x represents the number of hours

(a) t= 4 hours

Plug in 4 for t  and find out the number of bacteria y

y=100(2)^{2 \cdot 4}\\y=25600

25600 bacteria

y=100(2)^{2t}

convert 40 seconds into hour

40 divide by 60 =2/3

y=100(2)^{2\frac{2}{3} }\\y=100(2)^{\frac{4}{3} }\\\\y=252

The graph is attached below

4 0
2 years ago
(From Textbook) A company makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce,
Doss [256]

Answer:

The company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.

Step-by-step explanation:

Let x be the number of ounces of chicken

let y be the number of ounces of grains

We are given that Chicken has 10 grams of protein and 5 grams of fat per ounce.

Chicken has protein in 1 ounce = 10

Chicken has protein in x ounces = 10x

Chicken has fat in 1 ounce = 5

Chicken has fat in x ounces = 5x

We are also given that grain has 2 grams of protein and 2 grams of fat per ounce

Grain has protein in 1 ounce = 2

Grain has protein in y ounces = 2y

Grain has fat in 1 ounce = 2

Grain has fat in y ounces =2y

Now we are given that . A bag of dog food must contain at least 200 grams of protein and at least 150 grams of fat.

So, equation becomes:

10x+2y\geq 200 ---A

5x+2y\geq 150  ---B

Since x and y represent the ounces .

So, x\geq 0 ---C and y\geq 0 ----D

Plot A ,B ,C and D on the graph

Refer the attached graph so , the corner points are (0,100),(10,50) and (30,0)

We are also given that chicken costs 10 cents per ounce and grain costs 1 cent per ounce

So, Cost function becomes : c=10x+y

At(0,100)

c=10x+y

c=10(0)+100

c=100

At(10,50)

c=10x+y

c=10(10)+50

c=150

At(30,0)

c=10x+y

c=10(30)+0

c=300

Minimum cost is 100 cents at (0,100)

So,  the company use 0 ounces of chicken and 100 ounces of grain in each bag of dog food in order to minimize cost.

3 0
3 years ago
A person jogs 1/7 mile in 1/42 hour. How many miles do they jog an hour?
vitfil [10]
You multiply both by 42: They jog 6 miles per hour
6 0
3 years ago
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Identify the type of transformation given the rule M(x, y) = (x, –y).
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Reflection about x axis
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