An equation that represents the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling is S = 10 - 2t
In this question, there was a depth of 10 inches of snow on the lawn when the storm ended and then it started a melting at a rate of 2 inches per hour.
We need to write an equation for S in terms of t, snow representing the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling.
So, the equation would be,
S = 10 - 2t
Therefore, an equation that represents the depth of snow on Audrey's lawn, in inches, t hours after the snow stopped falling is S = 10 - 2t
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Answer:
- D. No, they are not similar.
Step-by-step explanation:
<u>Check the ratio of the two given sides:</u>
- MV/VT = 21/49 = 3/7
- LV/VU = 8/28 = 2/7
Ratios are different so the triangles are not similar
Correct choice is D
First simplify
x-4y-8=3/4-10y
add 10y both sides and add 8
x+6y=8+3/4
times 4 both sides
4x+24y=32+3
4x+24y=35
5y-3(6-7/8)=5x-4y+3
add 4y both sides
9y-3(6-7/8)=5x+3
distribute
9y-18+21/8=5x+3
minus 5x both sides
9y-5x-18+21/8=3
add 18 to both sides and minus 21/8 both sides
9y-5x=21-21/8
times 8 both sides
72y-40x=147
72y-40x=147
so we got
24y+4x=35
72y-40x=147
multiply first equation by -3 and add to 2nd
-72y-12x=-105
72y<span>-40x=147 +</span>
0y-52x=42
-52x=42
divide both sides by -52
x=-21/26
sub back
24y+4x=35
24y+4(-21/26)=35
using math
y=497/312
the solution is
Answer:
360
Step-by-step explanation:
The given digits are 1,2,3,4,5,6.
So, total number of digits = 6.
We need to find the number of different ways to form four-digit numbers using the digits, without repetition.
Total ways for first place = 6
After selecting 1 digit the number of remaining digits is 5. So,
Total ways for second place = 5
Similarly,
Total ways for third place = 4
Total ways for forth place = 3
Total number of ways =
Therefore, 360 four digit numbers are possible.
Answer:
A. 8 and 9
Step-by-step explanation:
Between which two consecutive whole numbers does √ 78 lie?
a.
8 and 9
b.
6 and 7
c.
9 and 10
d.
7 and 8
A. 8 and 9
8^2 = 8 × 8 = 64
9^2 = 9 × 9 = 81
B. 6 and 7
6^2 = 6 × 6 = 36
7^2 = 7 × 7 = 49
C. 9 and 12
9^2 = 9 × 9 = 81
12^2 = 12 × 12 = 144
D. 7 and 8
7^2 = 7 × 7 = 49
8^2 = 8 × 8 = 64
The correct answer is A. 8 and 9