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Black_prince [1.1K]
3 years ago
15

Use proportions to solve each of the problems below. Homework Help ✎

Mathematics
1 answer:
Yakvenalex [24]3 years ago
7 0

Answer:

Question 2:

45 pages 700 pages  

-------------- = -------------  

1 hour X hours  

1 x 700= 700  

700/ 45= 15 and 5/9  

15 and 5/9 hours  

Question 3:

\frac{250}{3} \\ = 88.33 lbs

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3x+4y=5 what is this in slope intercept form
tia_tia [17]
Slope intercept form is to leave y by itself. ok this is the initial question 3x+4y=5 and we want y by itself. first subtract 3x by both sides. you now have 4y=5-3x, then divide 4 by both sides. y=5-3x/4, this is slope intercept form, if you still need help download the app socratic and photomath.
3 0
3 years ago
kim can mow the greens at the golf course twice as fast as shayla can. Working together, they can mow the greens in 4 hours. How
anyanavicka [17]

Answer: Kim can mow the greens alone in 6 hours.

Step-by-step explanation:

Let K be the rate Kim mows the greens, and S the rate for Shayla.  The rates K and S will be in greens/hour.

We know they can mow 1 green in 4 hours.  We can state this as a sum of their rates times the 4 hours equals one green:

(4 hours)*(K + S) = 1 green

We are told that K = 2S [Kim is twice as fast as Shayla]

Subsititute:

(4 hours)*(K + S) = 1 green

(4 hours)*(2S + S) = 1 green

4*(2S + S) = 1 green

12S = 1 green

Shalya's rate is 1 green/12 hours

Kim is twice as fast:  K = 2S

Kim's rate is 1 green/6 hours.

8 0
2 years ago
2.a)Find the prime factorizations of 90 and 168.
balu736 [363]
90|2\\45|3\\15|3\\.\ 5|5\\.\ 1|\\\\90=2\cdot3\cdot3\cdot5\\\\168|2\\.\ 84|2\\.\ 42|2\\.\ 21|3\\.\ \ 7|7\\.\ \ 1|\\\\168=2\cdot2\cdot2\cdot3\cdot7

100|2\\.\ 50|2\\.\ 25|5\\.\ \ 5|5\\.\ \ 1|\\\\100=2\cdot2\cdot5\cdot5\\\\126|2\\.\ 63|3\\.\ 21|3\\.\ \ 7|7\\.\ \ 1|\\\\126=2\cdot3\cdot3\cdot7
4 0
3 years ago
What is (6.89+14.52)+(-14.52)???
MrRa [10]
The answer is 6.89 because
6.89+14.52=21.41
So 21.41+(-14.52)=6.89
7 0
3 years ago
Can someone help me with this? sin150° =
marusya05 [52]

Answer:

sin(150°) = 1/2

Step-by-step explanation:

* Lets study how we can solve this problem

- At first the measure of the angle is 150°

- Ask your self in which quadrant can you find this measure

* To know the answer lets revise the four quadrants

# First quadrant the measure of all angles is between 0° and 90°

  the measure of any angle is α

∴ All the angles are acute

∴ All the trigonometry functions of α are positive

# Second quadrant the measure of all angles is between 90° and 180°

  the measure of any angle is 180° - α

∴ All the angles are obtuse

∴ The value of sin(180° - α) only is positive ⇒ sin(180° - α) = sinα

# Third quadrant the measure of all angles is between 180° and 270°

  the measure of any angle is 180° + α

∴ All the angles are reflex

∴ The value of tan(180° + α) only is positive ⇒ tan(180° + α) = tanα

# Fourth quadrant the measure of all angles is between 270° and 360°

  the measure of any angle is 360° - α

∴ All the angles are reflex

∴ The value of cos(360° - α) only is positive ⇒ cos(360° - α) = cosα

* Now lets check the angle of measure 150

- It is an obtuse angle

∴ It is in the second quadrant

∴ the value of sin(150) is positive

∴ sin(150°) = sinα

∵ 180 - α = 150 ⇒ isolate α

∵ α = 180° - 150° = 30°

∴ sin(150°) = sin(30°)

∵ sin(30°) = 1/2

∴ sin(150°) = 1/2

6 0
3 years ago
Read 2 more answers
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