Check your work here:
1)7/8.
7/8=0.875 and 3/4=0.75
2)3/20.
3/20=0.15 and 12.5%=0.125
3)48.4
increase by 10% means you multiply 44 by 100%+10% or 110% to get 48.4
4)612
decrease by 10% means you multiply 680 by 100%-10% or 90% to get 612
5)36,36,60
132/(3+3+5)*3,132/(3+3+5)*3,132/(3+3+5)*5
6)9.6,22.4
32/10*3, 32/10*7
7)20
14/0.7
8)31.5
18/4*7
9)17/12
2/3=8/12, 3/4=9/12 8/12+9/12=17/12
10)15/4
5*3/4
11)8
2^2+2*2=4+4=8
12)0
(-2)^2+(-2)*2=4-4=0
13)3
3(x-3)=0,(x-3)=0,x=3
14)2/5 or 0.4
5x+1=3,5x=2,x=2/5
15)5n+2
The sequence difference is 5 and the first term is 7
16)20
6(3)+2=18+2=20
17)-5
4(-2)+3=-8+3=-5
18)1
the coefficient of x is 1
19)4pi or 12.56
area of a circle is r^2*pi=2^2*pi=4pi
20)14pi or 43.96
circumference of a circle=2r*pi=2*4*pi=14pi
9514 1404 393
Answer:
1
Step-by-step explanation:
The third term is g. It is equivalent to 1g. (A coefficient of 1 is rarely shown.) The coefficient is the constant multiplier of the variable expression. In the third term, the coefficient is 1.
Answer:
Yes, they are congruent.
Step-by-step explanation:
Congruent segments are segments whose lengths are equal.
You plotting of the points is correct.
Now look at the length of each segment.
Points R and S are both on the same horizontal line since their y-coordinates are both equal, 7. The distance from 3 to 6 is 3, so the length of segment RS is 3.
Points T and U are both on the same vertical line since their x-coordinates are both equal, 5. The distance from -3 to 0 is 3, so the length of segment TU is 3.
The lengths of segments RS and TU are both 3, which makes them equal. That makes the segments congruent.
Answer: Yes, they are congruent.
Answer:
x = -1/5 = -0.5
Step-by-step explanation:
9(x + 5)2 = 81
The fastest typist is Charlie at 60wpm. Let's figure out how many words he can type in 30 minutes using place value strategies.
6 * 3 = 18
Now, move the decimal two places to the right because there is one zero in 60 and one zero in 30.
1800.
Charlie can type 1800 words in 30 minutes.
The slowest typist is Jerome, at 40 wpm. Let's figure out how many words he can type in 30 minutes using place value strategies.
4 * 3 = 12
Now, move the decimal two places to the right because there is one zero in 40 and one zero in 30.
1200.
Jerome can type 1200 words in 30 minutes.
Now, subtract Charlie's words in 30 min by Jerome's words in 30 min.
1800 - 1200 = 600
Charlie can type 600 more words in 30 minutes than Jerome.
