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crimeas [40]
3 years ago
15

Hot dogs come in packages of 8. hot dog buns come in packages of 12. if grace wants to have enough to serve 24 people and have n

one left over, how many packages of hot dogs and hot dog buns should she purchase?
Mathematics
1 answer:
OLga [1]3 years ago
5 0
She would by 3 packages of hot dogs and 2 packages of hot dog buns. This is because 3*8 would be 24 and 12*2 is also 24. These would both be the minimum amount of packages.
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What is the quotient of 2 1/9÷3 4/5
Karolina [17]

Answer:

\frac{5}{9}

Step-by-step explanation:

2 \frac{1}{9}  \div 3 \frac{4}{5}  \\  \\  =  \frac{2 \times 9 + 1}{9}  \div  \frac{3 \times 5 + 4}{5}  \\  \\  =  \frac{18 + 1}{9}  \div  \frac{15 + 4}{5}\\  \\  =  \frac{19}{9}  \div  \frac{19}{5}\\  \\  =  \frac{19}{9}  \times  \frac{5}{19} \\  \\  =  \frac{5}{9}

4 0
3 years ago
5 + {[2 × (14 − 9)] − 1}
aivan3 [116]
It will be 14.
i’ll attach an image to show work

7 0
2 years ago
During a 20 kilometer hike, Deana consumed 334 quarts of water. What was Deana's average water consumption in quarts per kilomet
boyakko [2]

Answer:

  • 16.7 quarts/km

Step-by-step explanation:

  • Distance = 20 km
  • Water consumed = 334 quarts

<u>Water consumption rate is:</u>

  • 334 quarts / 20 km = 16.7 quarts/km
8 0
3 years ago
9cm is equal to what in mm
-BARSIC- [3]
The answer to this question is 90 mm
8 0
2 years ago
Read 2 more answers
LMN is a right-angle triangle. Angle NLM=90. PQ is parallel to LM. The area of triangle PNQ is 8cm^2. The area of triangle LPQ i
likoan [24]

Answer:

The area of LQM is 48cm^2

Step-by-step explanation:

Given

Area of PNQ = 8

Area of LPQ = 16

See attachment for triangles

The area of PNQ is calculated as:

Area = \frac{1}{2} * PQ * PN

Substitute 8 for Area

8 = \frac{1}{2} * PQ * PN

PQ * PN = 16

The area of LPQ is calculated as:

Area = \frac{1}{2} * PQ * LP

Substitute 16 for Area

16= \frac{1}{2} * PQ * LP

From the attachment:

PN + LP =LN

Make LP the subject

LP = LN -PN

So:

16= \frac{1}{2} * PQ * (LN -PN)

We have:

16= \frac{1}{2} * PQ * (LN -PN) and PQ * PN = 16

Equate both expressions:

\frac{1}{2} * PQ *(LN - PN) = PQ * PN

Divide both sides by PQ

\frac{1}{2} (LN - PN) = PN

Multiply both sides by 2

LN - PN = 2PN

LN= 3PN

Since PNQ is similar to LNM, the following equivalent ratios exist:

\frac{LM}{PQ} = \frac{LN}{PN}

Substitute LN= 3PN

\frac{LM}{PQ} = \frac{3PN}{PN}

\frac{LM}{PQ} = 3

LM = 3PQ

Area of LQM is:

Area = \frac{1}{2} * LM * LP

This gives:

Area = \frac{1}{2} * 3PQ * LP

Area = 3 *\frac{1}{2} *PQ * LP

Recall that:

16= \frac{1}{2} * PQ * LP

So:

Area = 3 *16

Area = 48cm^2

5 0
3 years ago
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