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2 years ago

Can someone help me with this math homework please!

Mathematics

1 answer:

Daniel [21]2 years ago

8 0

Answer:

1st, 2nd and 6th options

Step-by-step explanation:

Given

$\frac{2}{3}$ - x + $\frac{1}{6}$ = 6x ( multiply through by 6 to clear the fractions )

4 - 6x + 1 = 36x ← option 1 will have the same solution set

----------------------------------------------------------------------

Adding the 2 fractions on the left side gives

$\frac{4}{6}$ + $\frac{1}{6}$ - x = 6x , that is

$\frac{5}{6}$ - x = 6x ← option 2 will have the same solution set

------------------------------------------------------------------------

From

4 - 6x + 1 = 36x ( add 6x to both sides )

5 = 42x ← option 6 will have the same solution set

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The value of a collector’s item is expected to increase exponentially each year. The item is purchased for $500. After 2 years,

Andreyy89

Y = 500(1 + r)^x; where r is the rate and x is the number of years.
500(1 + r)^2 = 551.25
(1 + r)^2 = 551.25/500 = 1.1025
1 + r = sqrt(1.1025) = 1.05

Therefore, the equation that represents y, the value of the item after x years is
y = 500(1.05)^x

7 0

3 years ago

In the Journal of Shell and Spatial Structures (December 1963), environmental researcher Vivek Ajmani studied the performance of

igomit [66]

Answer:

The standard deviation of the load distribution is of 5102.041 pounds.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

$\mu = 20000$

Also, the probability that the load is between 10,000 and 30,000 pounds is 0.95.

10,000 pounds and 30,000 pounds are equidistant from the mean. Due to this, and the probability of 0.95 of having a value in this range, 10000 is the (100-95)/2 = 2.5th percentile and 30000 is the (100+95)/2 = 97.5th percentile. Applying one of them, we find the standard deviation.

30,000 is the 97.5th percentile:

This means that when X = 30000, Z has a pvalue of 0.975. So when X = 30000, Z = 1.96. Then

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

$1.96 = \frac{30000 - 20000}{\sigma}$

$1.96\sigma = 10000$

$\sigma = \frac{10000}{1.96}$

$\sigma = 5102.041$

The standard deviation of the load distribution is of 5102.041 pounds.

8 0

3 years ago

Apples are on sale at four different grocery stores. Which store offers the

Arturiano [62]

Full question attached

Answer:

Greenland offers the lowest unit rate, dollars per pound

Step-by-step explanation:

For McCoy, $4.5 = 5 pounds

Therefore $1 = 5pounds/4.5= 1.11 pounds

1 pound= 1/1.11= $0.9009

For Eat smart

$3=2 pounds

Therefore $1=2pounds/3 = 0.667 pounds

1 pound = 1/0.667= $1.499

For Greenland

$1/5= 1/4 pounds

$0.2=0.25 pounds

$1= 1.25 pounds

Therefore 1 pound= 1/1.25= $0.8

For Mother Nature

$0.95= 1 pound

Therefore Greenland offers the lowest unit rate at $0.8 per pound

7 0

3 years ago

How can you use estimation to find 92 +91 +92 +91 +9?

Over [174]

Answer:

370

Step-by-step explanation:

Round each answer into easier to add numbers. 92 and 91 round down to 90. 9 rounds up to 10.

5 0

2 years ago

Read 2 more answers

To rent a certain meeting room, a college charges a reservation fee of $15 and an additional fee of $6 per hour. The chemistry c

Dafna1 [17]

Answer:

To spend at most $93, they need to rent the room less than or equal 13 hours.

Step-by-step explanation:

The complete question is

To rent a certain meeting room, a college charges a reservation fee of $15 and an additional fee of $6 per hour. The chemistry club wants to spend at most $93 on renting a room. What are the possible numbers of hours the chemistry club could rent the meeting room? Use t for the number of hours. Write your answer as an inequality solved for t,

Let

t ----> the number of hours

we know that

I this problem the word "at most" means "less than or equal to"

The number of hours rented multiplied by the cost per hour, plus the reservation fee, must be less than or equal to $93

The inequality that represent this situation is

$6t+15\leq 93$