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ololo11 [35]
3 years ago
15

Donna sent her grandson a birthday present. The box weighed 0.875 kilograms and the present itself weighed 6,800 grams. a. What

was the gross weight of the package in kilograms? b. If shipping costs 74 cents per kilograms, how much did the package cost to send, in dollars?
Mathematics
1 answer:
Nana76 [90]3 years ago
7 0
A) We know that the box weighed 0.875 kg, and the present weighed 6,800 g. However we need the gross weight of the package in kg, so we have to convert the present's weight to kg. There are 1000 grams in 1 kg, so we can divide the present's weight by 100 to find the weight in kg:

\frac{6,800}{1000} =6.8 kg

Now that we have converted to grams, let's add the weight to get the total gross weight:

0.875+6.8=7.675 kg

So the gross weight of the package is 7.675 kg.

b) Shipping costs 74 cents per kg, so in order to find the total cost of shipping for the package, let's multiply the weight of the package by the cost of shipping:

\frac{7.675kg}{1}* \frac{74 cents}{kg}=567.95 cents

However the cost of shipping has to be in dollars. There are 100 cents in one dollar, so we need to divide the amount of cents that shipping costs by 100 to get the total in dollars:

\frac{567.95cents}{100} =5.68dollars

Now we know that the total cost of shipping, in dollars, is equal to $5.68.
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2 years ago
The lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. Each quart is equivalent to 4 cups. Let n rep
tia_tia [17]

Answer:

B. 5 ≤ n≤ 8

f. 10 ≤ S ≤ 16

C. c=2n

d. S = c

Step-by-step explanation:

Jada is making lemonade for a get together with her friends. She expects a total of 5 to 8 people to be there (including herself).?

She plans to prepare 2 cups of lemonade for each person. The lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. Each quart is equivalent to 4 cups. Let n represent the number of people at the get together, c the number of cups of water, S the number of scoops of lemonade powder. Select all the mathematical statements that repsent the quantities and constraints in the situation.

A. 5<n<8

B. 5≤ n≤8

C. c=2n

d. S = c

e. 10<c<16

f. 10≤S≤16

Let

n = number of people at the get together,

c = number of cups of water,

S = number of scoops of lemonade powder.

She expects a total of 5 to 8 people to be there (including herself).

B. 5 ≤ n ≤ 8

She plans to prepare 2 cups of lemonade for each person.

With minimum of 5 people and maximum of 8 people

2 × 5 = 10

2 × 8 = 16

f. 10≤S≤16

The number of cups of water is twice the number of people at the party

C. c=2n

Number of scoops of lemonade powder is equivalent to number of cups of water

d. S = c

4 0
2 years ago
The square pyramid has a volume of 768 cubic inches. The height equals 1/6x and the base is just x. What is the value of x ?
Lunna [17]
The volume for a pyramid is V= \frac{1}{3} Bh, where B is the area of the base and h is the height.  We are given the volume, and the base and height in terms of x.  Our formula then looks like this: 768= \frac{1}{3} (x)( \frac{1}{6} x).  Simplifying the right side we have 768= \frac{1}{18}  x^{2}.  Multiply both sides by 18 to get rid of the fraction and we have 13824= x^{2}, so x = 117.575
5 0
3 years ago
A rectangular parking lot is 75 feet wide and 150 feet long. The owner wants to increase the width by 100 feet. What is the appr
Trava [24]

The <em>approximate increase</em> in Area of the parking lot is about 133%

Area of a rectangle = Length × width

<u>Initial Area of parking lot</u> :

  • 75 feets × 150 feets = 11250 ft²

<u>New Area of parking lot</u> :

Width = 75 + 100 = 175 feets

Length = 150 feets

Area = 175 × 150 = 26250 ft²

<u>Percentage increase in </u><u>Area</u><u> </u><u>of lot</u> :

((16250 - 11250) / initial Area) × 100%

(15000 / 11250) × 100% = 133.33%

Therefore, the <em>approximate increase</em> on area of lot is 133%

Learn more : brainly.com/question/18109354

5 0
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There are 56 customer in a shop.24 of them are men.the rest of the customers are women in the shop
Zina [86]

Answer:

There are 32 women in the shop.

8 0
2 years ago
Read 2 more answers
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