Answer:
an = 5n -7
Step-by-step explanation:
Try the offered formulas with n= 1 and see which gives you the first term of the sequence.
<u>an = -2n +3</u>
-2(1) +3 = 1 . . . . not -2
<u>an = -2n +7</u>
-2(1) +7 = 5 . . . . not -2
<u>an = 5n +3</u>
5(1) +3 = 8 . . . . not -2
<u>an = 5n -7</u>
5(1) -7 = -2 . . . . this is the formula you want
_____
If you recognize the common difference of the sequence to be 5, then you can automatically eliminate any formulas that don't contain 5n.
So Salem and Yorshire are 4 inches apart on a map.
Scale: 1 inch : 7 miles
So 1 inch in the map is 7 miles.
4 * 7 = 28.
Your Answer:
They are 28 miles apart.
Answer:
60 cm²
Step-by-step explanation:
a=c= 13 cm
b= 10 cm
A=?
------------
A=bh/2
- h is the leg of the right triangle with hypotenuse 13 cm and other leg 10/2 cm
- h= √13²-5²= √169-25= √144= 12 cm
<span>"In order to get the Least Common Multiple of 50 and 20 we need to factor each value and then we need to choose all of the factors which appear in any column and then multiply them."
50: 2 55
20: 225
LCM: 2255
</span><span>The (LCM) is: 2 x 2 x 5 x 5 = 100
</span>
<span>"To find the Greates Common Factor (GCF) of 20 and 50 we need to factor each value first and then choose all the copies of factors and then multiply them."
</span>
<span>20: 255
</span>
50: 55
The GCF is: 2 and 5 so you need to multiply and then you will get The Greates Common Factor. The greates common factor is: 2 x 5 = 10
Answer:
2.625 cups or 21 ounces
Step-by-step explanation:
Ava needs 3/4 cup of blue paint for every 1 cup of white paint. So, the ratio is 0.75 : 1.
She has 28 ounces of white paint. But, you have to convert ounces to cups.
1 cup = 8 ounces
28 ounces ÷ 8 ounces/cup = 3.5 cups
Now set up a ratio.
X (how much blue paint is needed) is over 3.5 cups (the amount of white paint she has)
Cross multiply and divide.
x = 0.75 × 3.5
x = 2.625 cups
To convert to ounces, multiply by 8.
2.625 cups × 8 ounces = 21 ounces
Therefore, Ava needs 2.625 cups or 21 ounces of blue paint.
Hope that helps.
