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andriy [413]
2 years ago
12

In which expression should the exponents be multiplied?

Mathematics
2 answers:
almond37 [142]2 years ago
6 0
The second one is correct
Vlada [557]2 years ago
5 0

i think that is is the second

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A recipe calls for 2 cups of flour to make 24 cookies. write and solve a proportion to find how much flour is needed to make 54
bekas [8.4K]
2 cups of flour          x cups of flour
––––––––––––   =   –––––––––––––
24 cookies                 54 cookies

cross multiply
2*54=24x
24x=108
x=4.5

4.5 cups of flour

8 0
3 years ago
Can someone help me with this problem? 8z when z =12 Evaluating Expressions
Sindrei [870]

Answer:

96

Step-by-step explanation:

8z when 12=z

substitute the z for 112 when doing that multiply 8(12)=96  

8 0
2 years ago
Read 2 more answers
Real World Scenario:
iragen [17]

The distance of a train from the city depends on the speed, the time of

travel, and direction of motion of the train.

Correct responses:

  • Distance Train A is from the city: <u>750 - 75·t</u>
  • Distance Train B is from the city: 50·t
  • After <u>six</u> hours, the two trains are the same distance from the city
  • At that time both trains will be <u>300</u> miles away

1) From the time of departure of Train B to just before 6 hours after Train B's departure; 0 ≤ t < 6 hours

2) At time period, t > 6 hours

3) 250 miles

<h3>Method used to find the above response</h3>

Given:

The distance of train A from the city = 750 miles

Speed of train A = 75 mph

Time at which Train B leaves the city = When Train A is 750 miles from the city

Speed of Train B = 50 mph

Solution:

The equations are;

  • Distance of Train A from the city is; <u>x₁ = 750 - 75·t</u>
  • Distance of Train B from the city is <u>x₂ = 50·t</u>

When the train are the same distance from the city, we have;

750 - 75·t = 50·t

750 = 50·t + 75·t = 125·t

Therefore;

  • t = \mathbf{\dfrac{750}{125}} = 6

The time it takes the two trains to be the same distance from the city is 6 hours.

Which gives;

  • After <u>6</u> hours, the two trains are the same distance from the city.

The distance the trains will be after 6 hours is therefore;

750 - 75 × 6 = 300

The distance of the trains from the city after 6 hours = 300 miles

Therefore, we have;

  • At that time both trains will be <u>300</u> miles away

1) The time period Train A is further from the city is before the first 6 hours elapse; <u>0 hours ≤ t < 6 hours</u>

2) The Train B is further from the city after 6 hours of its departure from the city; <u>t > 6 hours</u>

3) The distance of Train A from the city after 4 hours is given as follows;

x₁ = 750 - 75 × 4 = 450

x₁ = 450 miles

The distance of Train B from the city after 4 hours is; x₂ = 50 × 4 = 200

x₂ = 200 miles

Therefore;

  • The distance between the trains after 4 hours = 450 miles - 200 miles = <u>250 miles</u>

Learn more about distance and time relationship equation here:

brainly.com/question/10804931

3 0
2 years ago
1
Nina [5.8K]
B, is the correct answer
4 0
3 years ago
A cylinder closed tin of radius r cm is made from 600cm2 tin sheet of metal.
Zarrin [17]

Answer:

Note:  The expression "h =300- pi r /pi r" would equate to 299, as written.  I find h = (300 - πr^{2} )/πr to be the equation for height.

Step-by-step explanation:

The total surface area of a sylinder is 2πr(h+r) where h is the height and r is the radius.  That consists of top and bottom disks, each with an area of πr^{2}, for a total of 2πr^{2}.  The side is a  continous sheet that has an area of 2πrh, where h is the height.  2πr is the circumference of the can, so the surface area of the side is 2πrh.

The total surace area of a closed cylinder is therefore 2πr^{2} + 2πrh.

2πr^{2} + 2πrh = 600

πr^{2} + πrh = 300

πrh = 300 - πr^{2}

h = (300 - πr^{2} )/πr

7 0
2 years ago
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