Mathematics, 27.09.2019 12:30 hargunk329

At the market, mr. paul bought 7/8 lb of cashews and 3/4 lb of walnuts.
a. how many ounces of cashews did mr. paul buy?
b. how many ounces of walnuts did mr. paul buy?
c. how many more ounces of cashews than walnuts did mr. paul buy?
d. if mrs. toombs bought 1 1/2 pounds of pistachios, who bought more nuts, mr. paul or mrs. toombs? how many ounces more?

Answers: 2

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Answer from: SignoraPenguino

Part a) Mr. Paul bought 14 oz of cashews

Part b) Mr. Paul bought 12 oz of walnuts

Part c) Mr Paul bought 2 oz more of cashews than walnuts

Part d) Mr Paul bought 2 more ounces of nuts than Mrs Toombs

Step-by-step explanation:

Part a) How many ounces of cashews did Mr. Paul buy?

Remember that

$1\ lb=16\ oz$

To convert lb to oz multiply by 16

we know that

Mr. Paul bought 7/8 lb of cashews

Convert lb to oz

Multiply by 16

$\frac{7}{8}\ lb= \frac{7}{8}(16)=14\ oz$

therefore

Mr. Paul bought 14 oz of cashews

Part b) How many ounces of walnuts did Mr. Paul buy?

Remember that

$1\ lb=16\ oz$

To convert lb to oz multiply by 16

we know that

Mr. Paul bought 3/4 lb of walnuts

Convert lb to oz

Multiply by 16

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

therefore

Mr. Paul bought 12 oz of walnuts

Part c) How many more ounces of cashews than walnuts did Mr. Paul buy?

Subtract the ounces of walnuts from the ounces of cashews

$14\ oz-12\ oz=2\ oz$

therefore

Mr Paul bought 2 oz more of cashews than walnuts

Part d) If Mrs. Toombs bought 1 1/2 pounds of pistachios, who bought more nuts, Mr. Paul or Mrs. Toombs? How many ounces more?

Remember that

$1\ lb=16\ oz$

To convert lb to oz multiply by 16

we know that

Mrs. Toombs bought 1 1/2 pounds of pistachios

Convert mixed number to an improper fraction

$1\frac{1}{2}\ lb=\frac{1*2+1}{2}=\frac{3}{2}\ lb$

Convert lb to oz

Multiply by 16

$\frac{3}{2}\ lb= \frac{3}{2}(16)=24\ oz$

Remember that

Mr. Paul bought 14 oz of cashews and 12 oz of walnuts

In total Mr Paul bought

14 oz+12 oz=26 oz -----> total ounces of nuts

Mrs. Toombs bought 24 oz of nuts

Mr. Paul bought 26 oz of of nuts

$26\ oz 24\ oz$

Find the difference

$(26\ oz-24\ oz)=2\ oz$

therefore

Mr Paul bought 2 more ounces of nuts than Mrs Toombs

Answer from: Quest

Idon’t know the answer to this but i did find a link that might you with this click this if you want really bad.

Answer from: Quest

answer: - (a) $a_n=16+6n$

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term= $a_1 =22$

second term= $a_2 =28$

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula : $a_n=a_1+(n-1)(d)$

$a_n=22+(n-1)6\\\rightarrow\ a_n=22+6n-6\\\rightarrow\ a_n=16+6n$

b) let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

$a_{12} = 16+6\times12\\\rightarrow\ a_{12}=16+72\\\rightarrow\ a_{12}=88\ seats$

∴there are 88 seats in 12 rows.

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