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Varvara68 [4.7K]
4 years ago
9

On a given morning the temperature was 71°F. The temperature dropped 5°F and then rose 8°F. How much does the temperature need t

o rise or fall to return to the initial temperature of 71°F? A) Fall 8°F B) Fall 3°F Eliminate C) Rise 8°F D) Rise 5°F
Mathematics
1 answer:
Snowcat [4.5K]4 years ago
7 0
The answer is B) Fall 3 degrees
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One positive integer is 1 less than twice another. The sum of their squares is 461. Find the integers.
soldi70 [24.7K]

Answer:

10 and 19

Step-by-step explanation:

  • In Algebra, an even number = 2x, because anything multiplied by 2 is even.
  1. There are two numbers in the question, I'll define the first one as 2x
  2. the other number is 1 less than twice of the first, so I'm going to define it <u>in algebra as 2(2x) - 1</u>, which is just 4x - 1
  3. the square of the first is 4x^2
  4. the square of the second is 16x^2-8x+1
  5. add them together: 20x^2-8x+1
  6. this equation = 461, so 20x^2-8x+1 = 461
  7. simplify to 20x^2-8x-460 = 0
  8. I wont explain how to solve this here, since it is very complicated, if you don't know search up solving quadratics.
  9. the <u>solutions are 5 or -4.6</u>, it cannot be -4.6 since the question says positive, so the solution for <u>x = 5</u>
  10. substitute x into our equations for the two numbers in steps 1 and 2
  11. the <u>first number = 10, the second = 19</u>
8 0
2 years ago
Mario travels 180 miles in 1.25 hours. if Mario travels at the same rate, how far can Mario travel in 5 hours... Answer key
Inessa05 [86]
720 miles in 5 hours
6 0
3 years ago
One side of a shipping container measures 8 feet. The container is a cube. What is the container's volume in cubic feet?
DerKrebs [107]

Answer:c

Step-by-step explanation:

3 0
3 years ago
Answer in 5 min I GIVE U BRAINLIEST
telo118 [61]

This is the formula of finding the hypotenuse: a² + b² = c².

So the legs would be a and b.

4² + 4² = c²

c² = 16 + 16

c² = 32

c = √32  (Option C)

7 0
3 years ago
Read 2 more answers
What is the image of 6, -7 after dilation by scale factor of 3 centered at the origin
earnstyle [38]

Answer:

(18,−21)

Step-by-step explanation:

Dilation: multiply each coordinate

(x,y)\rightarrow (3x,3y)

(x,y)→(3x,3y)

Dilations multiply by scale factor

(\color{red}{6},\color{blue}{-7}) \rightarrow (3\cdot \color{red}{6},3\cdot \color{blue}{-7})=\mathbf{(18,-21)}

(6,−7)→(3⋅6,3⋅−7)=(18,−21)

4 0
3 years ago
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