Simplify the following and express in the form a+bi. (-8-i)(-8+i)

At the market, Ms. Winn bought 3/4 lb of grapes and 5/8 lb of cherries.

wolverine [178]

Answer:

Part a) Ms. Winn bought 12 oz of grapes

Part b) Ms. Winn bought 10 oz of cherries

Part c) Ms. Winn bought 2 oz more of grapes than cherries

Part d) Mr. Phillips bought 6 more ounces of fruit than Ms. Winn

Step-by-step explanation:

Part a) How many ounces of grapes did Ms. Winn buy?

Remember that

$1\ lb=16\ oz$

To convert lb to oz multiply by 16

we know that

Ms. Winn bought 3/4 lb of grapes

Convert lb to oz

Multiply by 16

$\frac{3}{4}\ lb= \frac{3}{4}(16)=12\ oz$

therefore

Ms. Winn bought 12 oz of grapes

Part b) How many ounces of cherries did Ms. Winn buy?

Remember that

$1\ lb=16\ oz$

To convert lb to oz multiply by 16

we know that

Ms. Winn bought 5/8 lb of cherries

Convert lb to oz

Multiply by 16

$\frac{5}{8}\ lb= \frac{5}{8}(16)=10\ oz$

therefore

Ms. Winn bought 10 oz of cherries

Part c) How many more ounces of grapes than cherries did Ms. Winn buy?

Subtract the ounces of cherries from the ounces of grapes

so

$12\ oz-10\ oz=2\ oz$

therefore

Ms. Winn bought 2 oz more of grapes than cherries

Part d) If Mr. Phillips bought 1 3/4 pounds of raspberries, who bought more fruit, Ms. Winn or Mr. Phillips? How many ounces more?

Remember that

$1\ lb=16\ oz$

To convert lb to oz multiply by 16

we know that

Mr. Phillips bought 1 3/4 pounds of raspberries

Convert mixed number to an improper fraction

$1\frac{3}{4}\ lb=\frac{1*4+3}{4}=\frac{7}{4}\ lb$

Convert lb to oz

Multiply by 16

$\frac{7}{4}\ lb= \frac{7}{4}(16)=28\ oz$

Remember that

Ms. Winn bought 12 oz of grapes and 10 oz of cherries

In total Ms. Winn bought

12 oz+10 oz=22 oz -----> total ounces of fruit

so

Mr. Phillips bought 28 oz of fruit

Ms. Winn bought 22 oz of fruit

$28\ oz > 22\ oz$

Find the difference

$(28\ oz-22\ oz)=6\ oz$

therefore

Mr. Phillips bought 6 more ounces of fruit than Ms. Winn

4 0

3 years ago

If the population of a certain city increased 25% in two years, the new population was what percent of the old?

disa [49]

Answer:

125%

Step-by-step explanation:

This because if in origin the city was made up for example by 100,000 people, that was the 100% of the city. Now you add the 25% in two years and the city will be made by 125,000 people. So 100%+25%=125%. 

I think it's right

7 0

3 years ago

Eric is planning to paint the four pillars that are attached to the front of his house. But, he needs to know how many square fe

mariarad [96]

Assume that the pillars are cylindrical..you're looking for the lateral surface area correct? to get the lateral surface area, you use the formula LSA = 2rh(pi) where r is radius h is height substitute the values... h = 10 d = 1 so r =1/2 so LSA = 2 (1/2)(10)(3.14) LSA = 10(3.14) LSA = 31.4 sq ft :D Can You Mark Me Brainlest Plz...

6 0

3 years ago

Read 2 more answers

Leiff goes online to buy a new video game. He finds a site that currently has a promotion of 15% off on all orders over $50. Lei

Hatshy [7]

Answer:

$119.32

Step-by-step explanation:

Leiff decides to buy his video game, with a price tag of $128, at this site

he will get the 15% discount when he checks out.

100-15= 85%

Discounted price=85% of 128 is $0.85 \cdot 128=108.8$

Leiff pays 5.3% sales tax on the discounted price

5.3% is 0.053

sales tax amount=0.053 times 108.8=5.7664

So we add the sales tax amount and shipping fee

$108.8+5.7664+4.75=119.32$

So $119.32 is the total amount

6 0

4 years ago

Read 2 more answers

1. The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag a

lapo4ka [179]

Answer:

Option d :18 bags of chips and 6 jars of salsa

Step-by-step explanation:

Given : The networking organization you joined is throwing a party. You are in charge of buying the chips, which cost $2.50 per bag and salsa, which costs $4 per jar. The chips & salsa budget you are given totals $60.

Inequality : $2.5x+4y\leq 60$