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Shtirlitz [24]
2 years ago
11

Tori ran 4/5 Mile in 1/5 hour. write an equation for the distance in miles Y that she ran in X hours if she ran at a constant ra

te​
Mathematics
1 answer:
nirvana33 [79]2 years ago
6 0

Answer:

y=4x

Step-by-step explanation:

Let

y ----> the distance in miles

x ----> the time in hours

using proportion

\frac{y}{x}=\frac{(4/5)}{(1/5)}

Simplify

\frac{y}{x}=\frac{4}{1}

y=4x

This is a linear direct variation

The unit rate or speed is the slope of the linear equation

The unit rate is 4 miles/hour

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What is the interquartile range of the data set? Enter the answer in the box. Key: 1|5 means 15
Aneli [31]
First of all we have to arrange the data in ascending order as shown below:

28, 40, 43, 43, 45, 50, 50

Total number of values = 7

Since the number of values is odd, the median will be the middle value i.e. 4th value which is 43. Median divides the data in two halves:

1st Half = 28, 40, 43
2nd Half = 45, 50, 50

Q1 or the First Quartile is the middle value of the lower or 1st half which is 40.
Q3 or the Third Quartile is the middle value of the upper or second half, which is 50.

IQR or the Inter Quartile Range is the difference of Q3 and Q1.

So, IQR= Q3 – Q1 = 50 – 40 = 10

Thus, IQR for the given data is 10
4 0
3 years ago
Read 2 more answers
From least to greatest 0.75, 1/2, 0.4, and 1/5
Lena [83]
1/5, 0.4, 1/2, 0.75

Just convert all of them to decimals first then it should be easy or you . 
3 0
3 years ago
Read 2 more answers
Find the values of x and y
zhuklara [117]

You can use a tangent:

tangent=\dfrac{opposite}{adjacent}

We have opposite = 17 and adjacent = x.

\tan30^o=\dfrac{\sqrt3}{3}

substitute:

\dfrac{17}{x}=\dfrac{\sqrt3}{3}       cross multiply

x\sqrt3=(3)(17)     multiply both sides by √3

x(\sqrt3)(\sqrt3)=51\sqrt3

3x=51\sqrt3      divide both sides by 3

x=17\sqrt3

Use the Pythagorean theorem:

y^2=(17\sqrt3)^2+17^2\\\\y^2=289(\sqrt3)^2+289\\\\y^2=289\cdot3+289\\\\y^2=867+289\\\\y^2=1156\to y=\sqrt{1156}\\\\y=34

-------------------------------------------------------------------------------------------------

Other method.

30^o-60^o-90^o triangle.

The sides are in the ratio 1:2:\sqrt3\to17:y:x

Therefore

17:(2\cdot17):(17\sqrt3)\to17:34:17\sqrt3\to x=34,\ y=17\sqrt3

 


4 0
3 years ago
Help pl pls pls pls pls
Svetllana [295]

Answer:

they are both a function

Step-by-step explanation:

because i did this back in 8th grade

8 0
2 years ago
Find ij i need help with this
Nuetrik [128]

Answer:

IJ is going to be 5400.

Step-by-step explanation:

60*90= 5400.

90 is the right angle on J.

I is 60 degrees.

8 0
2 years ago
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