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boyakko [2]
3 years ago
8

1.

Mathematics
1 answer:
stiks02 [169]3 years ago
4 0

Answer:

a. 10, 16

b. 211, 311

c. 10 , 12.5

d. -13, -22

Step-by-step explanation:

In an arithmetic sequence, there is a constant difference, which is the difference between a term and the previous term. We find the constant different for each sequence, and we add it to the second term to find the third term. Then we add the constant difference to the third term to find the fourth term.

a.

4 - (-2) = 6

3rd term: 4 + 6 = 10

4th term: 10 + 6 = 16

b.

111 - 11 = 100

3rd term: 111 + 100 = 211

4th term: 211 + 100 = 311

c.

7.5 - 5 = 2.5

3rd term: 7.5 + 2.5 = 10

4th term: 10 + 2.5 = 12.5

d.

-4 - 5 = -9

3rd term: -4 + (-9) = -13

4th term: -13 + (-9) = -22

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A map has a scale showing 3 inches represents 11 km. How many miles apart
jekas [21]

Answer:

Step-by-step explanation:

Direct proportion.

Distant between two cities= 11/3 * 9.7 = 106.7/3 = 35.56 km

3 0
3 years ago
Plz help me with this unknown side length in right triangle
aniked [119]

Answer:

7 sqrt(2)= BC

7 sqrt(2)= AB

Step-by-step explanation:

sin 45 = opp / hyp

sin 45 = BC / 14

Multiply each side by 14

14 sin 45 = BC

Sin 45 = sqrt(2)/2

14 sqrt(2)/ 2 = BC

7 sqrt(2)= BC

cos 45 = adj / hyp

cos 45 = AB / 14

Multiply each side by 14

14 cos 45 = AB

cos 45 = sqrt(2)/2

14 sqrt(2)/ 2 = AB

7 sqrt(2)= AB

3 0
3 years ago
Simplify 5(3x-6)-8(3x-7)<br><br> Can someone explain how to do this in English?
Lunna [17]
Remember the distributive property? It goes like x(a+b)=xa+xb... For example 3(6+7)=(3*6)+(3*7)=39
Same here
5(3x-6)-8(3x-7)
do the thing
(15x-30)-(24x-56)
Take parentheses off.
15x-30-24x+56
//WHY PLUS 56 NOT MINUS?
//because there was a minus sign outside the original parentheses, so the signs inside have to be flipped when the parentheses is taken off
//Let's simplify now
15x-24x-30+56
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^^The answer!
5 0
3 years ago
Read 2 more answers
Solve for x.<br> 13<br> =(5x+ 6)/8 + <br> (5x+4)/4
valkas [14]

Answer: x=6

Step-by-step explanation:

To solve for x, we want to isolate the variable.

\frac{5x+6}{8} +\frac{5x+4}{4} =13        [get common denominator]

\frac{5x+6}{8} +\frac{2(5x+4)}{8} =13     [add fractions]

\frac{5x+6+10x+8}{y} =13          [combine like terms]

\frac{15x+14}{8} =13                 [multiply both sides by 8]

15x+14=104            [subtract both sides by 14]

15x=90\\                      [divide both sides by 15]

x=6

Now, we know that x=6.

3 0
3 years ago
Kevin walked to school on 16 out of 20 days in March. Which value is equivalent to the fraction of the school days in
timurjin [86]

Step-by-step explanation:

Hi!

I can help you out!

16/20=4/5=8/10=32/40

Hope this can help, choose whichever fraction, they're all the same {it just depends the options you're given

Hope this helped! <3

8 0
3 years ago
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