Steps of adding 7+(-10) using number line are as following:
1) Draw a number line by ranging from -10 to +10.
2) Point out 7 on the number line.
3) Because -10 is added to 7 on the number line, please move 10 numbers left to 7 on the number line. We always go left in addition of a negative number on the number line.
4) The number we reach -3 on left side would be our final sum.
5) From the number we can clearly see that moving 10 number on left to 7, we get -3.
Note: We are moving left because of negative sign in front of 10.
Answer:
10
Step-by-step explanation:
let the lengths of sides=x (each)
x²+x²=(10√2)²
2x²=100×2
x²=100
x=√100=10
Answer:
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
Step-by-step explanation:
A. The formula for the volume of a hemisphere is ...
V = (2/3)πr³
For a radius of 5 m, the volume is ...
V = (2/3)π(5 m)³ = 250π/3 m³ ≈ 261.799 m³
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B. The formula for the volume of a cylinder is ...
V = πr²h
For a radius of 5 m and a height of 12 m, the volume is ...
V = π(5 m)²(12 m) = 300π m³ ≈ 942.478 m³
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C. Then the total volume is ...
V = hemisphere volume + cylinder volume
V = 261.799 m³ +942.478 m³ = 1204.277 m³
__
Rounded to the nearest integer, the volumes are ...
- hemisphere volume: 262 m³
- cylinder volume: 942 m³
- composite figure volume: 1204 m³
_____
As a rule, you only want to round the final answers. Here, the numbers are such that rounding the intermediate values still gives the correct final answer. That is not always the case.
Package A is less expensive for Zach to send 250 multimedia texts each month.
<u>Step-by-step explanation:</u>
Given that,
Zach plans to send 250 multimedia texts each month.
Package A charges $0.25 per multimedia text with no monthly fees.
Package B charges $0.20 per multimedia text, but has a $15 monthly fee.
We need to find out which package is less expensive for Zach to add the plan.
<u>The cost of 250 multimedia texts by package A :</u>
⇒ Number of texts × cost per text
⇒ 250 × 0.25
⇒ 62.5
∴ The package A charges $62.5 for 250 multimedia texts.
<u>The cost of 250 multimedia texts by package B :</u>
⇒ (Number of texts × cost per text) + monthly fee
⇒ (250 × 0.20) + 15
⇒ 50 + 15
⇒ 65
∴ The package B charges $65 for 250 multimedia texts.
The Package A charges $62.5 which is less than package B charge of $65.
Hence, package A is less expensive.
The equations are 30+2x and 16+5x. i plug random numbers into x until you fint the correct answer. the answer is 5.
