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Arada [10]
1 year ago
9

A rock climber is planning to climb a mountain cliff over two days. The climb begins at an altitude of 6,400 feet above sea leve

l. The rock climber figures
he can climb at an average pace of 360 feet per hour. He wants to climb to an altitude higher than 8,020 feet above sea level by the end of the first day of
climbing.
Which inequality and solution describe how many hours the climber must climb on the first day to reach his goal?
A
360h + 6,400 < 8,020, with a solution of h < 4
2
B
360h + 6,400 < 8,020, with a solution of h < 7
71
C
360h + 6,400 > 8,020, with a solution of h > 75
18
D
360h + 6,400 > 8,020, with a solution of h > 4.
2

Mathematics
1 answer:
Furkat [3]1 year ago
3 0

Answer:

D

Step-by-step explanation:

360h+6,400 >8,020, with a solution is h> 4.

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Mrs Wright spent 2/9 of her paycheck on food and 1/3 on rent. She spent 1/4 of the remainder on transportation. She had $210 lef
Mashutka [201]

Answer:

Mrs. Wright's paycheck is $630

Step-by-step explanation:

Let x = Mrs. Wright's paycheck.

Mrs. Wright spent 2/9 of her paycheck on food. This means that the amount of money spent on food is 2/9 × x = 2x/9

She spent 1/3 on rent. This means that the amount spent on rent is

1/3 ×x x = x/3

Amount she spent on food and rent is x/3 + 2x/9 =3x + 2x /9

= 5x/9

The remainder is her pay check - the amount that she spent on food and rent. It becomes

x - 5x/9 = (9x- 5x)/9 = 4x/9

She spent 1/4 of the remainder on transportation. It means that she spent 1/4 × 4x/9 = x /9 on transportation.

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3 0
2 years ago
Which equation represents a line that passes through (4, left-parenthesis 4, StartFraction one-third EndFraction right-parenthes
lina2011 [118]

Answer:

y-\frac{1}{3}=\frac{3}{4}(x-4)              

Step-by-step explanation:              

we know that            

The equation of the line into point slope form is equal to                        

y-y1=m(x-x1)              

In this problem we have          

(x_1,y_1)=(4,\frac{1}{3})                            

m=\frac{3}{4}            

substitute the given values                

y-\frac{1}{3}=\frac{3}{4}(x-4)

therefore

y minus StartFraction one-third EndFraction equals StartFraction 3 Over 4 EndFraction left-parenthesis x minus 4 right-parenthesis.(x – 4)

             

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