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BaLLatris [955]
1 year ago
11

Ms. Smith drove a total of 700 miles on a business to

Mathematics
1 answer:
kiruha [24]1 year ago
6 0

Answer:

The total amount of gas Ms. Smith used on the trip is $25.

Step-by-step explanation:

To solve this problem, we first must figure out how many gallons of gas Ms. Smith used on her trip.  If she drove 700 miles and averaged 35 miles per gallon, if we divide 700 by 35 we can figure out how many gallons she used.

700/35 = 20

Thus, Ms. Smith used 20 gallons on her trip.  Next, to figure out what the cost of the gasoline was, we must multiply the number of gallons (20) by the cost of gasoline per gallon ($1.25).

20 gallons * $1.25/gal = $25

Therefore, the cost of gasoline for the trip was $25.

Hope this helps!

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If the quantity 4 times x times y cubed plus 8 times x squared times y to the fifth power all over 2 times x times y squared is
MA_775_DIABLO [31]
\dfrac{4xy^3 + 8x^2y^5 }{2xy^2}

= \dfrac{4xy^3(1+2xy^2)}{2xy}

= 2y^2(1 + 2xy^2)

= 2y^2 + 4xy^4

Answer: a = 1, b 2, c = 1, d = 4
8 0
2 years ago
Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need a
saveliy_v [14]

Answer:

Sofia will order 7 more rolls of sushi (84 pieces) and pay $56

Step-by-step explanation:

They need at least 100 pieces of sushi

Sofia had ordered and paid for 24 pieces of sushi already

Sushi comes in rolls

Each roll=12 pieces at $8

R=additional rolls that Sofia orders

Additional sushi= Needed sushi - ordered sushi

=100-24

=76 pieces of sushi

Each roll has 12 pieces

76/12=6.33

Sofia has to order in rolls

So, she will order 7 more rolls of sushi of 12 pieces each

12*7=84 pieces

Recall, that they needed at least 100 pieces, so the number of pieces could be more than 100

If Sofia orders 84 pieces + the already ordered 24 pieces

Total pieces=108 pieces

She has paid for 24 pieces (3 rolls) at $8 per roll

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7 0
1 year ago
Read 2 more answers
Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of s
Elenna [48]

I will rewrite the question for better understanding:

Ashley recently opened a store that uses only natural ingredients. She wants to advertise her products by distributing bags of samples in her neighborhood. It takes Ashley 2/3 of a minute to prepare one bag. It takes each of her friends 75% longer to prepare a bag. How many hours will it take Ashley and 4 of her friends to prepare 1575 bags of samples?

Answer:

  • <em><u>5.3 hours</u></em>

Explanation:

<u>1) Time it takes Ashley to preprate one bag: </u>

  • 2/3 min

<u>2) Time it takes each friend of Ashley: 75% more than 2/3 min</u>

  • 75% × 2/3 min = 0.75 × 2/3 min = 3/4 × 2/3 min= 2/4 min = 1/2 min = 0.5 min
  • 2/3 min + 1/2 min = 7/6 min

<u>3) Time it takes Ashley and the 4 friends working along to prepare one bag:</u>

  • Convert each time into a rate, since you can set that the total rate of Ashley along with her four friends is equal to the sum of each rate:

  • Rate of Ashley: 1 bag / (2/3) min = 3/2 bag/min

  • Rate of each friend: 1 bag / (7/6) min = 6/7 bag/min

  • Rate of Ashley and 4 friends = 3/2 bag/min + 4 × 6/7 bag/min = (3/2 +24/7) bag/min = 69/14 bag/min

<u>4) Time of prepare 1575 bags of samples:</u>

  • time = number of bags / number of bags per min = 1,575 bags / (69/14) bags/min = 319.56 min

<u>5) Convert minutes to hours:</u>

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3 0
1 year ago
A=&lt;3,0,-1&gt;, find a vector b such that comp(sub a) b=2.
Anna35 [415]
Compab=a.b/|a|
b=<0,1,−2√10>
a.b= 2√10
|a| = √10
a.b/|a|=2√10 / √10=2


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a bookshelf is 14 inches wide.there is enough space to fit 2 trophies one trophy is 2 inches wider than the other. how wide is t
Orlov [11]
The answer is 9 because half of 14 is 7, and 7+2=9
5 0
1 year ago
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