Answer:
10
Stepbystep explanation:
In this problem we need to round off 8.546 to the nearest tens. 8 is in ones place, 5 is in tenths place, 4 is in hundredths place and 6 is in thousandth place.
8 falls between 5 and 10 on the number line. It is less than 5 and more than 10. When it is rounded off to nearest tens it can be given by 10.
To round 8.546 to the nearest tens, the answer is 10.
To round 8.546 to the nearest tens, you need to look at the digit in the ones place, which is 6.
Since 6 is greater than or equal to 5, you round up the tens digit, which is 4.
Therefore, the final answer is 10.
Learn more about rounding here:
#SPJ3
Answer:
1. 15 to 21 = 21  15 / 15 = 0.4*100% = 40%
2. 12 teachers to 48 teachers = 48  12/48 = 0.75 * 100% = 75%
3. 80 pencil to 120 pencil = 120  80 / 80 = 0.5*100% = 50%
4. 40 cans to 70 cans = 70  40 / 70 = 0.43 * 100% = 43%
Answers:
Option 1)
6a + 8s = 102
14a + 4s = 150
each adult ticket costs 9 dollars
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Explanation:
6 adult tickets and 8 student tickets bring in $102, so that means 6a+8s = 102
14 adult tickets and 4 students tickets bring in $150, so 14a+4s = 150
The system of equations is
If we multiply both sides of the second equation by 2, we get this updated system
Add the equations straight down
6a+(28a) = 22a
8s+(8s) = 0s = 0 ... the 's' terms go away
102+(300) = 198
So we end up with the equation 22a = 198 and that solves to a = 9 after dividing both sides by 22.
Each adult ticket costs $9
If you want the value of s, then
6a+8s = 102
6(9)+8s = 102
54 + 8s = 102
8s = 10254
8s = 48
s = 48/8
s = 6
Meaning each student ticket costs $6
Or you could use the other equation
14a+4s = 150
14(9)+4s = 150
126+4s = 150
4s = 150126
4s = 24
s = 24/4
s = 6
We get the same value of s
3 cm
2 cm
3 cm
6 cm
Find the surface area of the above solid.
A. 81 cm2
B. 78 cm2
C. 84 cm2
D. 72 cm2
Answer:It’s C
Stepbystep explanation:
16
12
8
20 16 12

4
48
12
16 2024
8
12
16
If the graph of the second equation in the system passes through (12, 20) and (4,12), which statement is true?
Answer:
y = C₂ e²ᵗ + e⁻ᵗ [C₁  (5t/3)]
Stepbystep explanation:
y"  y'  2y = 5e⁻ᵗ
The total solution of this differential equation will be a sum of its complimentary and particular solutions.
y = y꜀ + yₚ
The complimentary or homogenous solution is a solution of
y"  y'  2y = 0
y꜀ = Ay₁ + By₂
Solving this part in the attached image, we obtain
y₁ = e⁻ᵗ and y₂ = e²ᵗ
The particular solution can be obtained using the method of variation of parameters and the method of undetermined coefficients.
The method of variation of parameters is used and explained in the page 1, 2 and page 3 of the attached images.
The method of undetermined coefficients is then used to check if the solution obtained is correct.
With y = C₂ e²ᵗ + e⁻ᵗ [C₁  (5t/3)],
y' and y'' were obtained and put in the equation, and the answer obtained was 5e⁻ᵗ.
So, Proved!
y = C₂ e²ᵗ + e⁻ᵗ [C₁  (5t/3)]
Hope this helps!!!