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Elenna [48]
4 years ago
15

Which ratio is equivalent to 5:4? A.10:12 B.14:13 C.20:16 D.24:30

Mathematics
1 answer:
kupik [55]4 years ago
6 0

Answer:

C. 20:16

Step-by-step explanation:

For this question, you have to multiply any integers to make it as ratio that on the answer choices. When you multiply 1 on 5:4, it will be 5:4. If you multiply by 2, it would be 10:8. When you continue to multiply, when you multiply by 4, you get 20:16 which is answer choice C.

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A biologist has been observing a tree's height. This type of tree typically grows by 0.22 feet each month. Fifteen months into t
Lyrx [107]

Data:

x: number of months

y: tree's height

Tipical grow: 0.22

Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

In this case the slope (m) or rate of change is the tipical grow.

m=0.22

To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

\begin{gathered} y=mx+b \\ 20.5=0.22(15)+b \\ 20.5=3.3+b \\ 20.5-3.3=b \\ 17.2=b \end{gathered}

Use the slope(m) and y-intercept (b) to write the equation:

\begin{gathered} y=mx+b \\  \\ y=0.22x+17.2 \end{gathered}A) This line's slope-intercept equation is: y=0.22x+17.2

B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

\begin{gathered} y=0.22(29)+17.2 \\ y=6.38+17.2 \\  \\ y=23.58 \end{gathered}Then, after 29 months the tree would be 23.58 feet in height

C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

\begin{gathered} 29.96=0.22x+17.2 \\ 29.96-17.2=0.22x \\ 12.76=0.22x \\ \frac{12.76}{0.22}=x \\  \\ 58=x \end{gathered}Then, after 58 months the tree would be 29.96feet tall
3 0
1 year ago
Maria drives 130 miles in 2 hours. If she keeps driving at the same speed without stopping, what is the total time it will take
zlopas [31]
It would take her 10 hours.

Explanation: 650 divided by 130 is 5 and 2 hours multiplied by 5 hours is 10 hours. Sorry if I got it wrong, but hoped I helped.
3 0
3 years ago
Read 2 more answers
Solve for y<br> (y/x+6)+1 =(4x/x+6)<br> Enter your answer in the box.<br> y=
k0ka [10]

y = 3x :) hope this helps!

7 0
3 years ago
What’s the size of angle x
ki77a [65]

Answer:

65 degrees.

Step-by-step explanation:

It's hard to explain, but I'll try:

The outside of the first two angles is 105 and 140. Half a whole angle is 180. So, you do

180-140=40. The inside is 40.

And then 180-105=75.

Then you add the two and subtract them from 180:

40+75= 115

180-115=65

Voila!

7 0
3 years ago
if joe and jim combined their hourly pay,they would have $16. jims hourly pay is $1.50 more than joes. find each bous hourly pay
evablogger [386]
Joe : x
jim : y

x+y=16
y=1.50+x

x + 1.50 + x = 16

2x = 14.5

x = 7.25

7.25 + y = 16

y= 8.75

Joe : $7.25
Jim : $8.75
6 0
4 years ago
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