1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tasya [4]
3 years ago
14

What is the gcf of 378,132

Mathematics
1 answer:
Semmy [17]3 years ago
3 0
First, find the prime factorization of both numbers.

378/2 = 189
189/3 = 63
63/3 = 21
21/3 = 7
7/7 1

378 = 2 * 3^3 * 7

132/2 = 66
66/2 = 33
33/3 = 11
11/11 = 1

132 = 2^2 * 3 * 11

For the GCF, choose the common factors with lower exponent.

378 = 2 * 3^3 * 7
132 = 2^2 * 3 * 11

From 2 and 2^2 choose 2.
From 3 and 3^2 choose 3.
7 and 11 are not common, so do not choose them.

GCF = 2 * 3 = 6
You might be interested in
Which of the following employees has the greatest total employee compensation?
Elina [12.6K]
We have to choose the correct answer which of the employees has the greatest total employee compensation. We just have to subtract the job expenses from total job benefits for everyone of them. A: $49,200 - $300 = $38,900. B : $49,500 - $500 = $49,000. C : $49,800 - $700 = $41,100. D : $50,100 - $900 = $49,200. The largest sum is $49,200 ( employee D ) . Answer: The greatest total employee compensation has Employee D<span>.</span>
3 0
3 years ago
Read 2 more answers
15. Scott and Tara were asked to find the
Dmitriy789 [7]

Answer:

Both Scott and Tara have responded correctly.

Step-by-step explanation:

we know that

The area of a trapezoid is equal to

A=(1/2)[b1+b2]h

we have

b1=16 cm

b2=24 cm

h=8 cm -----> <em>Note</em> The height is 8 cm instead of 18 cm

substitute

A=(1/2)[16+24](8)

A=160 cm²

<em>Verify Scott 's work</em>

<em>Note</em> Scott wrote A = (1/2)(24 + 16)(8) instead of A = 2(24 + 16)(8)

Remember that the Commutative Property establishes "The order of the addends does not alter its result"

so

(24+16)=(16+24)

A = (1/2)(24 + 16)(8)=160 cm²

<em>Verify Tara's work</em>

<em>Note</em> Tara wrote A = (1/2)(16+24)(8) instead of A = (16 + 24)(8)

A = (1/2)(16+24)(8)=160 cm²

5 0
3 years ago
A car travelled 100 km with half the distance at 40 km/h and the other half at 80 km/h. Find the average speed of the car for th
Nana76 [90]
We must look at this question in steps
The first half of the journey is travelled at 40 km/h
Half of 100km is 50 km
Using the formula
Distance = Speed x Time
Speed = Distance / Time
Time = Distance / Speed
We can work out the time:

50km / 40km/h = 1.25 hours

Next we look at the second half of the journey
50km at 80km/h
50km / 80km/h = 0.625 hours

Add together both times to work out how long the entire journey took
1.25 + 0.625 = 1.875 hours

Using the Speed formula from before
Speed = 100km / 1.875 =
53 1/3 km/h or 53.3 recurring km/h
6 0
3 years ago
Circle A has center of (6, 7), and a radius of 4 and circle B has a center of (2, 4), and a radius of 16. What steps will help s
VARVARA [1.3K]

Answer:

Circle A will be similar to circle B when circle A is dilated by a scale factor of 4.

4 0
3 years ago
Read 2 more answers
A nursery owner buys 9 panes of glass to fix some damage to her greenhouse. The 9 panes cost
Nadya [2.5K]

Answer: $11.80 for another 4 panes of glass.

Step-by-step explanation: We know that 9 panes of glass cost $26.55, but we should first find how many dollars would it cost per pane of glass, or 1.

So, we can divide 26.55 by 9 to find the price per 1 pan of glass.

26.55/9 = 2.95, or $2.95 per pane of glass.

Now, we want to know how much it will cost for 4 panes of glass. Simply multiply 2.95 by 4.

2.95 x 4 = 11.8, or $11.80 for another 4 panes of glass.

8 0
3 years ago
Read 2 more answers
Other questions:
  • What the sum to 4/9 + 3/18
    7·1 answer
  • Select the component form of the vector shown.
    7·2 answers
  • Which value of m satisfies the inequality 170-7m 99?<br><br> 10<br> 12<br> 14<br> 15
    6·2 answers
  • Dot plot help?<br> i need help dot plotting
    11·1 answer
  • How do you get a positive number out of-3(g-2)​
    15·1 answer
  • Define the variables for the situation. Then enter an equation.
    13·1 answer
  • 200 + ( 25 * x ) = 750<br>What is x
    15·1 answer
  • Solve x·x·y·y·y = _____
    7·2 answers
  • Use the distributive properly to remove the parentheses. -(4w-y-3)
    11·1 answer
  • Pleaseeeeee help me with this.
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!