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3 years ago

What is (7x-2y)(3x+5y)

Mathematics

1 answer:

Ymorist [56]3 years ago

7 0

(7x - 2y) (3x +5y) ( First open brackets)

= 21x² + 35xy - 6xy - 10y² ( solve like terms)

= 21 x² - 10y² + 29xy.

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Chynna has one hour to bake muffins for the PTA bake sale. The muffins take 25 minutes to bake fully. Each pan holds one dozen m

BabaBlast [244]

Total time avalable = 1 hour = 60 minnutes.
Time for preheating the oven = minutes.

Time available for baking is 60 - 10 = 50 minutes.
This allows two sets of muffins to be baked (25 minutes for each bake).

Let p = number of muffins made.
p = (4 pans)*(12 muffns/pan)*(2 sets) =96 muffns

Answer: 96 muffins

3 0

3 years ago

Jade has $60. She wants to buy some movies that cost $11 each. Jade wants to have at least $20 remaining.

Anni [7]

Answer:

60-11x < 20

Step-by-step explanation:

Let's first set out all the information we know.

Jade has only $60, so we cannot go above the amount she has.

Each movie costs $11

She wants at LEAST $20 remaining

So, the first thing that will be in the inequality would be $60. Since you are wasting money, you have to subtract.

The thing that will be subtracted more than once is $11, so it will have the variable "x" added to it.

What we have so far is:

60-11x

Because this is an inequality, we will have a less than sign.

After that, we can conclude that $20 will come next because that is at the end of the problem.

So, the answer is:

60-11x < 20

5 0

3 years ago

Can the volume of a cone with the same size base as a cylinder ever have a bigger volume? Explain

Liono4ka [1.6K]

Answer:

No, because if a cone and a cylinder have bases with equal areas, and both have identical heights, then the volume of the cone is one-third the volume of the cylinder.

3 0

3 years ago

Gift box in the shape of a triangular prism has a volume of 140 cubic inches that a base height of 10 inches, and a height of 4

slamgirl [31]

Step-by-step explanation:

The area of a triangle is 1/2×width×length. Volume of a triangular prism is 1/2×width×length×height.

Fill in and we get 1/2×10×length×4=140. length=(140×2)/(10×4)=280/40=7. So you're right.

6 0

3 years ago

Suppose that in a certain population, individuals’ heights are approximately nor-mally distributed with parametersμ=70 andσ=3 in

ruslelena [56]

Answer:

a) 25.14% of the population is over 6ft tall.

b) Both are going to be normally distributed.

Centimeters: $\mu = 177.8, \sigma = 7.62$ cm

Meters: $\mu = 1.778, \sigma = 0.0762$ cm

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

Normally distributed with parameters $\mu = 70, \sigma = 3$ .