Eight increased by the product of a number and 4 is at most 20

3

Step-by-step explanation:

eight increased by the product of a number and 4 is at most 20

these implies

8 + a x4 = 20

a is the number whose product with 4 is increased by eight to give at most 20

8 + a x4 = 20

8 + 4a = 20

subtract 8 from both sides

4a = 20 -8

4a= 12

divide both sides by 4

a = 12/4 = 3

the number is 3

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

1^3 + 2^3 + 3^3 +4^3 = (1+2+3+4)^2

step-by-step explanation:

i am only able to answer the first part. i am not sure about the second part. sorry