Read the problem below and find the solution.

What is 1 1/5 subtracted by 3 1/10 whoever gets it right I will choose as the brainliest

pickupchik [31]

Answer:

6/5÷31/10=12/31

Step-by-step explanation:

6/5÷31/10=?Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction.

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

6/5×10/31=?

For fraction multiplication, multiply the numerators and then multiply the denominators to get

6×10 5×31=60/155

This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 60 and 155 using

GCF(60,155) = 5

60÷51 55÷5=12/31

Therefore:

65÷3110=12/31

7 0

3 years ago

From a random sample of workers at a large corporation you find that 58% of 200 went on a vacation last year away from home for

vagabundo [1.1K]

Answer:

b. We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%.

Step-by-step explanation:

A confidence interval at the level of x% for a proportion being between a and b means that we are x% sure that the true proportion of the population is between a and b.

In this problem, we have that:

95% C.I is (0.5, 0.66)

Interpretation: 95% confident that the true proportion is between 0.5 and 0.66.

The correct answer is:

b. We are 95% confident that the proportion of coworkers who went on a vacation last year away from home for at least a week is between 50% and 66%.

6 0

3 years ago

Help if you get it right I will give you Brainliest

olga_2 [115]

Answer:

My name is Khalil, and I’m like a happy meal, in FIFA I’m defender, your ball I will steal, don’t mess with me Habibi, when will you ever learn, cause in the Middle East, I’m Mr. Steal your girlMy name is Khalil, and I’m like a happy meal, in FIFA I’m defender, your ball I will steal, don’t mess with me Habibi, when will you ever learn, cause in the Middle East, I’m Mr. Steal your girlMy name is Khalil, and I’m like a happy meal, in FIFA I’m defender, your ball I will steal, don’t mess with me Habibi, when will you ever learn, cause in the Middle East, I’m Mr. Steal your girlMy name is Khalil, and I’m like a happy meal, in FIFA I’m defender, your ball I will steal, don’t mess with me Habibi, when will you ever learn, cause in the Middle East, I’m Mr. Steal your girlMy name is Khalil, and I’m like a happy meal, in FIFA I’m defender, your ball I will steal, don’t mess with me Habibi, when will you ever learn, cause in the Middle East, I’m Mr. Steal your girlMy name is Khalil, and I’m like a happy meal, in FIFA I’m defender, your ball I will steal, don’t mess with me Habibi, when will you ever learn, cause in the Middle East, I’m Mr. Steal your girlMy name is Khalil, and I’m like a happy meal, in FIFA I’m defender, your ball I will steal, don’t mess with me Habibi, when will you ever learn, cause in the Middle East, I’m Mr. Steal your girl

8 0

3 years ago

1. If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the perimeter o

tester [92]

Answer:

Part 1) The perimeter of the new figure must be equal to the perimeter of the original figure multiplied by the scale factor (see the explanation)

Part 2) The area of the new figure must be equal to the area of the original figure multiplied by the scale factor squared

Part 3) The new figure and the original figure are not similar figures (see the explanation)

Step-by-step explanation:

Part 1) If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the perimeter of the figure?

we know that

If all dimensions are changed proportionally, then the new figure and the original figure are similar

When two figures are similar, the ratio of its perimeters is equal to the scale factor

so

The perimeter of the new figure must be equal to the perimeter of the original figure multiplied by the scale factor

Part 2) If a scale factor is applied to a figure and all dimensions are changed proportionally, what is the effect on the area of the figure?

we know that

If all dimensions are changed proportionally, then the new figure and the original figure are similar

When two figures are similar, the ratio of its areas is equal to the scale factor squared

so

The area of the new figure must be equal to the area of the original figure multiplied by the scale factor squared

Part 3) What would happen to the perimeter and area of a figure if the dimensions were changed NON-proportionally? For example, if the length of a rectangle was tripled, but the width did not change? Or if the length was tripled and the width was decreased by a factor of 1/4?

we know that

If the dimensions were changed NON-proportionally, then the ratio of the corresponding sides of the new figure and the original figure are not proportional

That means

The new figure and the original figure are not similar figures

therefore

Corresponding sides are not proportional and corresponding angles are not congruent

so

A) If the length of a rectangle was tripled, but the width did not change?

Perimeter

The original perimeter is P=2L+2W

The new perimeter would be P=2(3L)+2W ----> P=6L+2W

The perimeter of the new figure is greater than the perimeter of the original figure but are not proportionals

Area

The original area is A=LW

The new area would be A=(3L)(W) ----> A=3LW

The area of the new figure is three times the area of the original figure but its ratio is not equal to the scale factor squared, because there is no single scale factor

B) If the length was tripled and the width was decreased by a factor of 1/4?

Perimeter

The original perimeter is P=2L+2W

The new perimeter would be P=2(3L)+2(W/4) ----> P=6L+W/2

The perimeter of the new figure and the perimeter of the original figure are not proportionals

Area

The original area is A=LW

The new area would be A=(3L)(W/4) ----> A=(3/4)LW

The area of the new figure is three-fourth times the area of the original figure but its ratio is not equal to the scale factor squared, because there is no single scale factor

5 0

3 years ago

I NEED HELP PLEASE, THANKS! :) Heather invests $4,900 in an account with a 3.5% interest rate, making no other deposits or withd

Alex

Answer: $5,828.28

Step-by-step explanation:

Use the Compound Interest formula: $A=P(1+\frac{r}{n})^{nt}$ where

A is the accrued amount (balance)
P is the principal (initial amount invested)
r is the interest rate (in decimal form)
n is the number of times compounded each year
t is the time of the investment (in years)

Given: P = 4,900

r = 3.5% (0.035)

n = 2

t = 5

$A=4,900\bigg(1+\dfrac{0.035}{2}\bigg)^{2(5)}\\\\\\.\qquad = 4900(1.0175)^{10}\\\\\\.\qquad = \large\boxed{5,828.28}\\$

5 0

3 years ago