Answer:
she has 12 quarters and 6 nickels 6×.05 =.30 12×.25=3.00
The answer to number 1 is $7.78. all ya got to do is divide 140 by 18 to find out how much is just one foot squared.
The answer to number 2 is $0.21. same as number one just divide $2.99 by 14lbs, to find out how much money is needed to pay for one pound.
numbers 3 and 4 are a bit more tricky, i suggest getting those denominators to 100 first to be able to find the percentage value of everything, number 3 seems pretty easy when using this strategy, the denominator is 25 so just multiply both the top and bottom numbers by 4 so that the 25 equals out to 100 and 56X4=224. now the second one the denominator is 15 so i would first divide both numbers by 3 to get that 15 into an easier number like 5. so divide $32.05 by 5 to equal $6.41. now its $6.41 over 5. so multiply the top and bottom numbers by 20 to make the denominator into 100. so $6.41X100=$641.00. so essentially what we've done is make the denominators into (like) denominators. Now treat the numbers as a fraction, so the one that has a smaller number is the better deal. so $56/ 25 gal is the better deal.
for number 4, you're basically doing the same thing but they've made it pretty easy for us, all you got to do on this one is make that denominator on the second proportion a 5. so divide the second proportion by nine to make the denominator into a 1. so dividing $315 by 9 will equal 35. so now multiply the (35/1) by 5 to equal ($175/5) now just pick the answer choice that has the bigger numerator and that'll be the best deal. so number 4 is ($160/5 g).
Making the denominators into like terms makes the units the same, so getting the numerators to the prices for however many units will show you the pricings for that many units. so if your wanting to pick the best deal, then at that point u would pick the proportion that cost less for that many units.
What are you doing if your graphing the points for the first one you start at -7 on the y axis and go up 3 and over tho the left by 1
For the second one you start at 1 on the y axis and go up 3 over the right 1
Answer: -2a^3 + 9a^2 + 45a + 18b^2 + 6ab^2
Step-by-step explanation:
(a + 3) * (-2a^2 + 15a + 6b^2)
We open the brackets with (a + 3)
a ( -2a^2 + 15a + 6b^2) + 3(-2a^2 + 15a + 6b^2)
Opening the brackets
= a * -2a^2 = -2a^3
a * 15a = 15a^2
a * 6b^2 = 6ab^2
3 * -2a^2 = -6a^2
3 * 15a = 45a
3 * 6b^2 = 18b^2
Let's arrange those values weve gotten together ,don't forget the signs each carry
= -2a^3 + 15a^2 + 6ab^2 - 6a^2 + 45a + 18b^2
Collect the like terms
= -2a^3 + 15a^2 - 6a^2 + 6ab^2 + 45a + 18b^2
= -2a^3 + 9a^2 + 6ab^2 + 45a + 18b^2
Answer:
27+23K
Step-by-step explanation:
Use distributive property
15+20k+12+3K
Now combine like terms
23K+27
thats your answer
