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svlad2 [7]
3 years ago
6

A. The GCF of 18 and 21 is__

Mathematics
1 answer:
Nuetrik [128]3 years ago
8 0

a. The GCF of 18 and 21 is<em> </em><em>3.</em>

18 +21 = <em>6 x 3 + 7 x 3 = 3(6 + 7)</em>

b. The GCF of 56 and 35 is <em>7.</em>

56 + 35 = <em>7(8 + 5)</em>

<em />

<em>Hope I helped!</em>

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Jordie is getting balloons for his aunt's birthday party. He wants each balloon string to be 12 feet long. At the party store, s
geniusboy [140]

Answer:

216 yards

Step-by-step explanation:

You'd multiply the amount of string for each balloon (12 feet) by the 54 balloons he needs, and you get 648 feet. There are 3 feet in a yard so then you would divide 648 by 3 and get 216 yards

8 0
2 years ago
What is the nth term rule of the quadratic sequence below?<br> 8,14,22,32 ,44, 58, 74...
DanielleElmas [232]

Answer:

y=n^2+3n+4

Step-by-step explanation:

Sequence,S: 8,14,22,32 ,44, 58, 74...

First differences of S: 6,8,10,12,14,16,...

Second differences of S: 2,2,2,2,2,2,....

It is indeed a quadratic since the 1st differences that are the same are the second differences.

So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.

This means our quadratic it is in the form

y=an^2+bn+c where c=4.

So we have y=an^2+bn+4.

Now we can find a and b using two points from our sequence to form a system of equations to solve.

(1,8) gives us 8=a(1)^2+b(1)+4

Simplifying gives 8=a+b+4

Subtracting 4 on both sides gives: 4=a+b

(2,14) gives us 14=a(2)^2+b(2)+4

Simplifying gives 14=4a+2b+4

Subtracting 4 on both sides gives 10=4a+2b

So we have the following system to solve:

4=a+b

10=4a+2b

I'm going to solve using elimination/linear combination style.

Dividing second equation by 2 gives the system as:

4=a+b

5=2a+b

Subtract the 2nd equation from the first gives:

-1=-1a

This implies a=1 since -1=-1(1) is true.

If a+b=4 and a=1, then b=3. Because 3+1=4.

So the equation is y=1n^2+3n+4 or y=n^2+3n+4.

8 0
2 years ago
In my fish tank, the ratio of red fish to blue fish is 1:5. There are 15 blue fish. How many red fish are there?
ElenaW [278]

Answer:

there are 3 red fish

Step-by-step explanation:

1:5

_:15

5 times 3 =15

so 1 times 3 =3

4 0
3 years ago
Read 2 more answers
Use the distributive property to express 15+45
Nuetrik [128]
<u><em>Answer:</em></u>
15(1+3)

<u><em>Explanation:</em></u>
<u>The distributive property can be generally expressed as follows:</u>
ab + ac = a(b+c)

<u>The given expression is:</u>
15 + 45

<u>We know that:</u>
15 = 1*15
45 = 3*15

<u>Therefore, the given expression can be written as:</u>
1*15 + 3*15

<u>Taking 15 as a common factor and applying the above rule, we will reach the following expression:</u>
15(1+3)

Hope this helps :)
5 0
3 years ago
Which letter represents the y-intercept in the slope-intercept equation of a line: y = mx + b?
jeka94
Y = mx + b
m represents the slope
b represents the y intercept
8 0
3 years ago
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