Skis dhdjaknsjdkjshdjdkbsjfkdnbskdksndjrjdbndje
Answer: 160
Step-by-step explanation:
So here they are telling you that there are 4 twelves, a.k.a 4 groups of 12. Which means that you have to multiply 4 x 12 = 48
Then there are 7 sixteens, a.k.a 7 groups of 16.
Which also means that you have to multiply 7 x 16 = 112
Add both numbers and there you have your answer!
I hope you found my answer helpful! :)
Answer:
Distributive Property, Subtraction Property of Equality, Subtraction Property of Equality, Division Property of Equality
Step-by-step explanation:
First, you need to distribute. Next, you subtract on both sides. Then, you subtract again. Finally, you divide.
Answer:
5 + 8 + 11 + 10 = 34
Step-by-step explanation:
The lengths of the horizontal and vertical sides are easily determined. The slant side is seen to be the hypotenuse of a 3-4-5 triangle (times 2), so is 10 units long. The perimeter is the sum of the side lengths:
5 + 8 + 11 + 10 = 34
_____
You can always estimate the length of the hypotenuse of a right triangle as being between 1 and 1.5 times the length of the <em>longest</em> side. Here, the longest side of the right triangle whose hypotenuse is of interest is 8 units, so the hypotenuse will be between 8 and 12 units long. That means the perimeter of the blue trapezoid will be between 32 and 36, a guess of sufficient accuracy to allow you to choose the correct answer.
In a figure like this, you can also measure the hypotenuse on the grid. Using a compass, ruler, or a piece of paper with a couple of marks, you can rotate the slant length so that it corresponds to a vertical or horizontal grid line. Then the length of it is easily estimated to good accuracy. (See the second attachment.) As we said in the previous paragraph, even poor accuracy is sufficient to choose the correct answer.
Represent
d=number of dimes
q=number of quarters
thererfor
q+d=23
1q=0.25
1d=0.10
therefor
total value=3.35=0.25q+0.1d
so we have
q+d=23
0.25q+0.1d=3.35
solve
q+d=23
subtract q from both sides
d=23-q
subsitute
0.25q+0.1(23-q)=3.35
distribute
0.25q+2.3-0.1q=3.35
group like terms
0.25q-0.1q+2.3=3.35
add like terms
0.15q+2.3=3.35
subtract 2.3 from both sides
0.15q=1.05
multipliy both sides by 100 to get rid of decimal
15q=105
divide both sides by 15
q=7
subsitute
q+d=23
7+d=23
subtract 7
d=16
7 quarters
16 dimes