Lets write down the information that we know.
Jessie has 7 stacks of 6 dimes, so Jessie has a total of 6*7 dimes
Dimes=7*6=42dimes
Jessie has 42 dimes, but then she found another one so lets add one more dime.
42+1=43 dimes
Jessie has 8 stacks of 5 nickels, so Jessie has 8*5 nickels
Nickels=8*5=40nickels
Jessie has 40 nickels, but then she found another one so lets add 1 to the total number of nickels.
40+1=41nickels
Now we can answer the question.
How many dimes and nickels does jessie have in all?
nickels+dimes=
41+43=84 coins
Jessie has 84 coins in total
Answer:
25
Step-by-step explanation:
If (1/5)^2 equals 1/25, then (1/5)^-2 should be the opposite.
(1/5)^-2 equals 25
Answer: G
Explanation/Calculation:
You can clearly see that the white shapes are positive while the black shapes are negative. You can determine this because all (except F) claim that the 6 shapes are negative.
To make it easier, use elimination. It's definitely not J because you are not subtracting -6, but adding (as seen in the equation.) It is not F because 2(3)=6 when the equation needs -6.
So it is either G or H...
H claims that 12x+3+(-6) is what the model symbolizes; but this is incorrect. Unless x is a decimal, you can not have the large shape as the "purest" form (so to speak.) The "purest" state you can go in this model is a cube/square which=1.
Therefore, "G Jamey modeled 12 + 3x + (-6) and it is equivalent to 12x-3" is the correct answer.
Hope this helps you!
Answer: 75+30 = 15 x 7
Step-by-step explanation:
The given expression is 75+30 (=105) which defines the sum of 75 and 30.
Prime factorization of 75 and 30 are as below:
75 = 5 x 5 x 3
30 = 5 x 3 x 2
GCD (75,30) = 5x 3 = 15 [Note: GCD = Greatest common divisor]
Consider 75+30 = (15 x 5) + (15 x 2) [75 = 15 x 5 and 30= 15 x 2]
= 15 (5+2) [taking 15 as common ]
= 15 x (7)
(=105)
So, 75+30 which is sum of the numbers and it is expressed as 15 x 7 which a product of their GCF.
Answer:
(x - 1) / (x + 3).
Step-by-step explanation:
x²+5x-6/x²+9x+18
Factoring top and bottom:
= (x + 6)(x - 1) / (x + 6)(x + 3) (x + 6) is common, so:
= (x - 1) / (x + 3) (answer).
