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
bonufazy [111]
3 years ago
9

24 + 28 as a product of two factors using the GCF and distributive property

Mathematics
1 answer:
Yakvenalex [24]3 years ago
8 0

Answer:

52

Step-by-step explanation:

Using GCF:

The factors of 24 are; 1, 2, 3, 4, 6, 8, 12, 24

Factors of 28 are; 1, 2, 4, 7, 14, 28

The highest greatest common factor is 4.

Now, 4 × 6 gives 24

While 4 × 7 gives 28.

Thus, our original equation is now;

4(6 + 7)

Using distributive property, let's add the number in the bracket first to get;

4(13).

Now,we multiply out to get 52.

You might be interested in
A(3,4) and B(-3,2) are pointd on a coordinate plane. find the coordinate of a points C on the x axis such that AC=BC​
mr Goodwill [35]

Answer:

Step-by-step explanation:

Here's the game plan. In order to find a point on the x-axis that makes AC = BC, we need to find the midpoint of AB and the slope of AB. From there, we can find the equation of the line that is perpendicular to AB so we can then fit a 0 in for y and solve for x. This final coordinate will be the answer you're looking for. First and foremost, the midpoint of AB:

and

Now for the slope of AB:

and

 So if the slope of AB is 1/3, then the slope of a line perpendicular to that line is -3. What we are finding now is the equation of the line perpendicular to AB and going through (0, 3):

and filling in:

y - 3 = -3(x - 0) and

y - 3 = -3x + 0 and

y - 3 = -3x so

y = -3x + 3. Filling in a 0 for y will give us the coordinate we want for the x-intercept (the point where this line goes through the x-axis):

0 = -3x + 3 and

-3 = -3x so

x = 1

The coordinate on the x-axis such that AC = BC is (1, 0)

7 0
2 years ago
What is the difference between a copyright and a trademark, and how are they used to protect intellectual property?
kirill [66]

Answer: Copyright protects original work, whereas a trademark protects items that distinguish or identify a particular business from another.

The trademark laws protect the product or service name and any slogans used in the advertising, while the copyright laws protect the additional creative written expression contained in the ad. Hope this helps!

Step-by-step explanation:

8 0
2 years ago
Gus is making 48 oz of spiced cider. If he serves an equal amount to 7 people will each person get more than 1 cup of cider or l
Elena-2011 [213]
Less than 1 cup because 48 divided by 7 equals 6.85
5 0
3 years ago
Customer account numbers for a certain company consists of 3 letters followed by 5 numbers how many different account numbers ar
Arturiano [62]

Answer:

1,757,600,000

Step-by-step explanation:

company consists of 3 letters followed by 5 numbers how many different account numbers are possible if repetitions of letters and digits are allowed.

We have 26 lettrs and 10 digits

So, the possible out comes for each one of the letters = 26

And the possible out comes for each one of the numbers = 10

∵ repetitions of letters and digits are allowed.

So, the possible accounts are = 26³ * 10⁵ = <u>1,757,600,000</u>

5 0
3 years ago
Find f(g(x)) and g(f(x)) for the following functions<br><br> f(x) = 2x<br><br> g(x) = x + 5
Helga [31]
F(x)=2x
G(x)=x+5
Now
F(g(x))=2(x+5)
=2x+10
G(f(x))=2x+5
4 0
3 years ago
Other questions:
  • You are planning to make a collage and are gathering materials.for the backing you will use a piece of heavy recycled cardboard
    13·1 answer
  • -4.6+5.3 help please thank you are the best
    14·2 answers
  • Trig with picture included
    15·1 answer
  • What is an expression ?
    15·1 answer
  • If 5 miles=8 km about how many would be equal to 70 km
    9·2 answers
  • 6(2x-1)-12=3(7x+6<br> Please help ALGEBRA
    9·1 answer
  • The triangular prism shown below is 6 \,\text{cm}6cm6, start text, c, m, end text wide and 4\,\text{cm}4cm4, start text, c, m, e
    15·1 answer
  • Solve: 0 = 2x^2 + 16x
    8·1 answer
  • A scientist planted seeds in $4$ sections of soil for an experiment. Not all of the seeds grew into plants. After $20$ days, the
    9·1 answer
  • Given m = 7 and the point (3, -1), which of the following is the point-slope form of the equation
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!