Answer:
312cm2
Step-by-step explanation:
Area of the triangles:
A =1/2bh
A=1/2(10*12) = 1/2*120=60.
There are two triangles. 60*2=120. 120 is the area of both triangles.
Area of the rectangle:
16*12=192.
120+192=312cm2
We want to multiply the monomial
by the monomial
.
Remember that to multiply monomials we need to use the laws of exponents; in this case, the law for multiplying powers with the same base. The rule says that, when you multiply powers of the same base, you just need to add the exponents:
,
. Also, is worth pointing out that the exponent of a variable with no exponent is 1:
.
Remember that we also need to multiply their coefficients , which are the numbers that multiply the variables; again, variables with no numbers have a coefficient of 1, so
. Multiply coefficients is easy, you just need to multiply them as you usually do with everyday numbers.
Let's apply all of that to our multiplication:

We can conclude that 2x times x squared is 2x cubed.
To solve this problem, you will first want to convert 5 pounds into ounces. To do this, first determine how many ounces is in 1 pound.
There are 16 ounces in 1 pound, so to convert 5 pounds into ounces, you simply have to multiply 5 × 16. This will give you 80 ounces total.
Allie give 12 ounces away, so you must first subtract 12 ounces from your total (80 ounces). 80 - 12 gives us 68 ounces.
Allie then divides the trail mix up into 4 ounce portions. To figure out how many small bags she can make, you simply divide your new total (68 ounces) by 4.
68 ÷ 4 = 17
Allie made 17 small bags.
Answer:
-8
Step-by-step explanation:
you add 5 to -7 to get -2
7 x -1 is -7
so x = -1
8 x -1 = -8