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MAXImum [283]
3 years ago
6

Your mother takes you to your grandparents house for dinner? She drives 60 minutes at a constant speed of 40 miles per hour. She

reaches the highway, quickly speeds up, and drives for another30 minutes at a constant speed of 70 miles per hour.
Mathematics
1 answer:
tamaranim1 [39]3 years ago
3 0
1 hour time 40 miles/ hour =1*40=40miles
0.5 *70=0.5*70=35 miles
40+35=75 miles

60 minutes+30 minutes= 90 minutes or 1 1/2hours
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Plz help!!!<br> Solve 6 (u - 4) - 8 = -6 (-4u + 6) -2u<br> Combine like-terms before solving
Elan Coil [88]
Combining like terms:
First do the first part which is 6(u-4)-8, you first distribute 6 to u and -4, 6u-24-8
-24-8=-32, 6u-32
Second part the same thing , distribute -6 to -4u and 6, (negative times a negative equals a positive) 24u-36-2u
24u-2u=22u

Solving:
6u-32=22u-36
Subtract 6u on both sides, -32=16u-36
Add 36 on both sides, 4=16u
Divide 16 on both sides
U=4/16 which is 0.25
8 0
3 years ago
When an amount of heat Q (in kcal) is added to a unit mass (kg) of a
lisov135 [29]

Answer:

The change in temperature per minute for the sample, dT/dt is 71.\overline {6} °C/min

Step-by-step explanation:

The given parameters of the question are;

The specific heat capacity for glass, dQ/dT = 0.18 (kcal/°C)

The heat transfer rate for 1 kg of glass at 20.0 °C, dQ/dt = 12.9 kcal/min

Given that both dQ/dT and dQ/dt are known, we have;

\dfrac{dQ}{dT} = 0.18 \, (kcal/ ^{\circ} C)

\dfrac{dQ}{dt} = 12.9 \, (kcal/ min)

Therefore, we get;

\dfrac{\dfrac{dQ}{dt} }{\dfrac{dQ}{dT} } = {\dfrac{dQ}{dt} } \times \dfrac{dT}{dQ} = \dfrac{dT}{dt}

\dfrac{dT}{dt} = \dfrac{\dfrac{dQ}{dt} }{\dfrac{dQ}{dT} } = \dfrac{12.9 \, kcal / min }{0.18 \, kcal/ ^{\circ} C }   = 71.\overline 6 \, ^{\circ } C/min

For the sample, we have the change in temperature per minute, dT/dt, presented as follows;

\dfrac{dT}{dt}  = 71.\overline 6 \, ^{\circ } C/min

8 0
2 years ago
The Venn diagram shows the number of students that exercise in different ways. What number should go in the highlighted box belo
Gennadij [26K]
ANSWER:
32

EXPLANATION:
8 people jog and do Aerobics
24 jog but don’t do aerobics
So, 8+24= 32
7 0
2 years ago
Marcus works at a clothing store and gets an employee discount. The price
dybincka [34]

9514 1404 393

Answer:

  d(32) = 28.80

  the price Marcus pays on an item with an original price of 32

Step-by-step explanation:

  d(32) = 32 -0.1(32)

  d(32) = 28.8

The problem statement tells you d(32) is the price Marcus pays when the original price is 32.

3 0
2 years ago
A candy company uses 8 gallons of corn syrup to make 1,776 pieces of candy. If they use 52 gallons of corn syrup per hour, how m
kondor19780726 [428]

Answer: 11,544 pieces of candy are made per hour.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

  • <em>Gallons of corn syrup used: 8 </em>
  • <em>Pieces of candy produced: 1,776 </em>
  • <em>gallons of corn syrup per hour: 52 </em>

If we apply proportions:

8 /1,776 = 52/x

Where x is the pieces of candy made per hour.

Solving

x = 52x1, 776 /8

x = 11,544

11,544 pieces of candy are made per hour.

4 0
3 years ago
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