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WINSTONCH [101]

3 years ago

14

A pancake recipe suggests that you use a 2/3 cup of water for every cup of pancake mix. If you plan to use 7/2 cups of the mix,

how much water should you use?

1 answer:

Aleksandr [31]3 years ago

5 0

Answer:

2 1/3 cups of water

Step-by-step explanation:

7/2 cups of mix =3.5 cups of mix

3 cups of mix*2/3 cups of water=2 cups of water

2/3cups of water*.5 cups of mix=2/6 cups of water=1/3 cups of water

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Write the expression as a product of expressions.

scoray [572]

Answer:

$a^2(ab^{3}-b^{2}-c^{2})$

Step-by-step explanation:

Given

$a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}$

Required

Factor

$a^{3}b^{3}-a^{2}b^{2}-a^{2}c^{2}$

Factor out $a^2$

$a^2(ab^{3}-b^{2}-c^{2})$

<em>The expression cannot be further factored</em>

8 0

3 years ago

Use the following information for questions 1 through 6. The dietitian at a camp is planning breakfast for the first day of camp

Dima020 [189]

Answer:

Let x and y be the pieces of toast and sausage required.

Then the objective function is

Min Z=0.04x+0.08y

Constraints:

Vitamin A, 2x+4y≥20

Vitamin B, 3x+1.5y≥15

Iron, 2x+2y≥16

Sausage, y≤4

The non-negative constraints are x≥0, y≥0

Thus, the linear programming model is

Min Z=0.04x+0.08y

Subject to,

2x+4y≥20

3x+1.5y≥15

2x+2y≥16

y≤4

x≥0, y≥0

1) There are two variables in the LP model. So, option (B) is correct.

2) The LP model contains four constraints (excluding the non negative constraints). So, option (D) is correct.

3) Solving the LP model using a software, we get the solution as

z=0.4, at x=6 and y=2

So, The cost of the breakfast is $ 0.4. Option (B) is correct.

4) The breakfast should contains 6 toasts.

5) The amount of Vitamin B in the breakfast = 3(6)+1.5(2)=18+3=21 milligrams. So, option (C) is correct.

6) The amount of Iron in the breakfast= 2(6)+2(2)=12+4=16 milligrams. So, option (B) is correct.

Step-by-step explanation:

4 0

3 years ago

PLEASEEEEEEEEEE HELPPPPPPPPPPP

ankoles [38]

Answer:

I would just guess, but if i were to actually think about it, i would think C. I hope it helps, and blame it on me if you fail.

Step-by-step explanation:

8 0

3 years ago

Markiya deposited $500 in a savings account. The annual interest rate is 2%, and the interest is compounded monthly. Write a com

motikmotik

I=Prt
I=500*0.02*4
I=$40

So, basically the answer is $40.

7 0

3 years ago

Read 2 more answers

The systolic blood pressure (BP) of adults in the USA is nearly normally distributed with a mean of 121 and standard deviation o

Wittaler [7]

Answer:

Around 0.73% of adults in the USA have stage 2 high blood pressure

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 121 and standard deviation of 16.

This means that $\mu = 121, \sigma = 16$

Around what percentage of adults in the USA have stage 2 high blood pressure

The proportion is 1 subtracted by the p-value of Z when X = 160. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{160 - 121}{16}$

$Z = 2.44$

$Z = 2.44$ has a p-value of 0.9927.

1 - 0.9927 = 0.0073

0.0073*100% = 0.73%

Around 0.73% of adults in the USA have stage 2 high blood pressure

5 0

3 years ago