We already have 60\%60%60, percent of the items on our list, her father says. Anastasia sees 121212 items in the cart. How many grocery items are on the list?

Answers

Answer 1

Answer: If there were already 121212 items on the cart that only comprises of the 60 % of the list of the father, then there would be 202,020 items on his items in total. This is solve by dividing 121212 by 60% which will give us 202,020

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The area of a square picture frame is 55 square inches. Find the length of one side of the frame. Explain to the nearest whole inch.

Answers

Given:

The area of a square picture frame is 55 square inches.

To find:

The length of one side of the frame.

Solution:

Let the length of one side of the frame is x inches.

Area of square is

$Area=a^2$

where a is side length.

Area of frame is

$Area=x^2$

$55=x^2$

Taking square root on both sides.

$√(55)=x$

$x=7.4161985$

$x\approx 7$

$49<55<64$ , so $7<√(55)<8$ . Since 55 is closer to 49, therefore, $√(55)$ is closer to 7.

Therefore, the length of one side of the frame is 7 inches.

Xz is 15 and the perimeter of triangle xwz is 50 what is the length of wz

Answers

Well if you have a congruent lines, and you have P = 50 and xz = 15 P = xz + 2 * wz so to find wz you need to subtract xz and divide by 2 50 - 15 = 35 and then divide by 2 to get 17.5

Adam buys a bigger turkey than he needs the turkey he buys weighs 7kg the cooking instructions are:less than 4kg-allow 20 minutes per kg, plus 70 minutes

over 4kg allow 20 minutes per kg, plus 90 minutes

always leave the turkey to rest for 30 minutes before carving to retain moisture.

he plans to carve the turkey at 17:15.

what time should he start cooking the turkey?

Answers

Given:
7 kg turkey

cooking instructions:
over 4kg allow 20 minutes per kg, plus 90 minutes
always leave the turkey to rest for 30 minutes before carving.

7kg * 20 minutes/kg = 140 minutes

140 minutes + 90 minutes = 230 minutes
230 minutes + 30 minutes rest = 260 minutes

260 minutes * 1hr/60 minutes = 4 hours 20 minutes

17:15 is 5:15 pm

17:15 - 4:20 = 12:55 pm

Adam should start cooking at 12:55 pm

A major concern with Social Security is the possibility that funds will not be available when today’s tax-payers retire to become beneficiaries. According to the Social Security Trustee’s report, an increase of 1.89% in the Social Security payroll tax would keep the account full for the next 75 years. To achieve similar results, benefits would have to be decreased from the current 42% of the ending salary to 29% of the salary.Cindy is relatively new to the workforce. She has 32 years until she can retire. Her current annual salary is $45,000.

1a) Calculate how much Cindy will have to pay in Social Security tax (6.2%) based on this salary.
1b) Calculate how much Cindy will have to pay in Social Security tax if the tax was increased by 1.89%.

2a) Calculate Cindy’s annual Social Security benefit (about 42%) if her salary remains unchanged until she retires (annual average is $45,000).
2b) Calculate Cindy’s annual Social Security benefit if her salary remains unchanged but benefits (based on her annual salary of $45,000) were cut from 42% to 29%.

3) If Cindy were given a choice between the increase in Social Security tax now or the decrease in Social Security benefits when she retires, which would you recommend she choose? Explain your answer thoroughly.

Answers

1a) 45,000 * 6.2% = 2,790
1b) 45,000 * (6.2% + 1.89%) = 45,000 * 8.09% = 3,640.50

2a) 45,000 * 42% = 18,900
2b) 45,000 * 29% = 13,050

3) I think it would be better to have an increase in Social Security tax now and receive 18,900 as annual pension rather than the decrease in Social Security benefits when she retires.

Answer:

1a) $45,000 * 0.062 = $2,790

1b) 6.2% + 1.89% = 8.09%; $45,000 * 0.0809 = $3640.50

2a) $45,000 * 0.42 = $18,900

2b) 42% - 13% = 29% $45,000 * 0.029 = $13,050

3) You should probably recommend she pay the extra taxes now. If the tax were increased by 1.89%. Cindy would have to pay an extra $3640.50 - $2,790 = $850.50 per year for the 32 years before she retires. This adds up to $27,216 over the length of 32 years. On the other hand, if benefits were decreased from 42% of her salary to 29% of her salary the time of Cindy’s retirement (approximations), she would receive $18,900 - $13,050 = $5,850 less per year after she retires. This adds up to $58,500 in just 10 years.

Step-by-step explanation:

This is the answer they have given me.

What is the solution of the system? Use substitution.4x – y = 5
3x – 7 = 2
A) (3, 7)
B) (7, -7)
C) (-3, 7)
D) (3/4, 2/5

Answers

4x-y=5

3x-7=2

We need to solve 3x-7=2 for x

Let's start by adding 7 to both sides

3x-7+7=2+7

3x=9

Now just divide both sides by 3 so we can find the value for x

3x/3=9/3

x=3

Now substitute 3 for x in 4x-y=5

4x-y=5

(4)(3)-y=5

-y+12=5

Now add -12

-y=12-12=5-12

-y=-7

Divide both sides by -1 so we can eliminate the negative sign

-y/-1=-7/-1

y=3

The answer is A

(3,7)

I hope that's help:0

When a volcano erupts, the height of the peak is reduced and the upper portion is removed. The height of a volcano after it erupted was 8,219.5 feet. This was 85% of the original height. What was the original height?

Answers

The height of the volcano is reduced after the eruption, then the original height of thevolcano is 9670 feet.

What is the Percentage?

The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.

As per the given information in the question,

Height of the volcano after eruption = 8,219.5 feet

Let the original height of the volcano is x.

85% of x = 8219.5

x = (8219.5 × 100)/85

x = 9670 feet.

To know more about percentages:

brainly.com/question/29306119

#SPJ5

Answer:

9,670

Step-by-step explanation: