All categories

3 years ago

Solve the word problem below using the steps given in the lesson above. Show your equation and each step you take to solve it.

Mathematics

1 answer:

maria [59]3 years ago

7 0

Answer:

Let Tom's cards = x

Equation:

Neils Cards = x + 83 (Neil has 83 more cards)

x + 83 = 517 (Tom has 83 cards less than Neil)

x = 434

You might be interested in

Jake's computer has two hard drives that can store the same amount of data.

Goshia [24]

There is a drive that is 3/8 full => it is 1-3/8 = 5/8 empty.
The other drive is 2/5 full => it is 1-2/5 = 3/5 empty.

a) The fraction of the total amount of empty storage space is : 5/8 + 3/5 = 25/40 + 24/40 = 49/40.

b)

The first drive is : 750 x 5/8 = 468.75 gigabytes (free)
The second drive is : 750 x 3/5 = 450 gigabytes (free)

So, he has a total of 1018.75 free gigabytes left.
He will have enough space to download 150 gigabytes of data.

(If anything is wrong lmk, i'll fix it asap)

3 0

3 years ago

A fruit company ships boxes of apples and pears in a crate that measures

vfiekz [6]

Answer:

none of the above

Step-by-step explanation:

The crate has a volume of ...

V = LWH = (15 in)(18 in)(24 in) = 6480 in³

The apple box has a volume of ...

V = LWH = (15 in)(15 in)(10 in) = 2250 in³

The pear box has a volume of ...

V = LWH = (12 in)(12 in)(12 in) = 1728 in³

Together, one box of each fruit takes up a volume of ...

(apple box) + (pear box) = (2250 in³) + (1728 in³) = 3978 in³

Then the part of the crate not filled has a volume of ...

6480 in³ -3978 in³ = 2502 in³ . . . . not among the answer choices

3 0

4 years ago

A rock climber's elevation above sea level changed −82 1/2 feet in 2 1/4 minutes as she descended.

IrinaK [193]

A rock climber's elevation above sea level changed −82 1/2 feet in 2 1/4 minutes as she descended.
so the the climber's average change in elevation per minute was:
x = -82 1/2 / 2 1/4x = (-165/2) / (9/4)x = (-165/2) x (4/9)x = -18 feet per minute is his change in elevation

5 0

3 years ago

Sally gets a cup of coffee and a muffin every day for breakfast from one of the many coffee shops in her neighborhood. She picks

aniked [119]

Answer:

A. Mean of the amount Sally spends on breakfast daily = $ 3.90

Standard deviation of the amount Sally spends on breakfast daily = $ 0.34 (rounding to the next cent)

B. Mean of the amount Sally spends on breakfast weekly = $ 27.30

Standard deviation of the amount Sally spends on breakfast weekly = $ 0.89 (rounding to the next cent)

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Average price of a cup of coffee = $ 1.40

Standard deviation = $0.30

Average price of a muffin = $ 2.50

Standard deviation = $ 0.15

The two prices are independent of each other

2. What is the mean and standard deviation of the amount Sally spends on breakfast daily?

Let's recall that:

1. The mean of the sum of two independent variables is the sum of their means.

2. The variance of the sum of two independent variables is equal to the sum of their variances.

Therefore,

Mean of the amount Sally spends on breakfast daily = Average price of a cup of coffee + Average price of a muffin

Replacing with the values we know:

Mean of the amount Sally spends on breakfast daily = 1.40 + 2.50

Mean of the amount Sally spends on breakfast daily = $ 3.90

Variance of the amount Sally spends on breakfast daily = Variance of the price of a cup of coffee + Variance of the price of a muffin

Replacing with the values we know:

Variance of the amount Sally spends on breakfast daily = 0.30² + 0.15²

Variance of the amount Sally spends on breakfast daily = 0.1125

Standard deviation of the amount Sally spends on breakfast daily = √0.1125

Standard deviation of the amount Sally spends on breakfast daily = $ 0.34 (rounding to the next cent)

3. What is the mean and standard deviation of the amount she spends on breakfast weekly (7 days)?

Mean of the amount Sally spends on breakfast weekly = 7 * Mean of the amount Sally spends on breakfast daily

Mean of the amount Sally spends on breakfast weekly = 7 * 3.90

Mean of the amount Sally spends on breakfast weekly = $ 27.30

Variance of the amount Sally spends on breakfast weekly = 7 * Variance of the amount Sally spends on breakfast daily

Variance of the amount Sally spends on breakfast weekly = 7 * 0.1125

Variance of the amount Sally spends on breakfast weekly = 0.7875

Standard deviation of the amount Sally spends on breakfast weekly = √0.7875

Standard deviation of the amount Sally spends on breakfast weekly = $ 0.89 (rounding to the next cent)

3 0

4 years ago

I sell cookies for $3 and muffins for $7. Yesterday, I made $129. I sold a total of 27 items. How many of each did I sell? CAN S

nordsb [41]

Answer:

skp

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers