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AveGali [126]
3 years ago
5

Keisha runs 4 miles in 30 minutes. At the same rate, how many minutes would she take to run 10 miles?

Mathematics
2 answers:
trasher [3.6K]3 years ago
8 0
75 minutes will be ran
jekas [21]3 years ago
6 0

Answer:

75 minutes

Step-by-step explanation:

find how long she take to run 1 mile,

30/4=7.5 minutes

then,

find how many minutes she takes to run 10 miles,

10 * 7.5 = 75 minutes

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Solve this equation for x. Round your answer to<br> the nearest hundredth.<br> 3 = In(x + 9)
Mrac [35]

Answer:

x ≈ 11.09

Step-by-step explanation:

Using the rule of logarithms

log_{b} x = n ⇒ x = b^{n}

Given

ln(x + 9) = 3 , that is

log_{e} (x + 9) = 3 , then

x + 9 = e³ ( subtract 9 from both sides )

x = e³ - 9 ≈ 11.09 ( to the nearest hundredth )

7 0
3 years ago
Is 6.5 greater then 4?
S_A_V [24]

Answer:

yes

6.5 > 4

6.5 - 4 > 0

2.5 > 0


5 0
3 years ago
Read 2 more answers
The test scores of 32 students are listed below. Construct a boxplot for the data set and include the values of the 5-number sum
zhenek [66]

Answer:

Boxplot is constructed using quartiles and 5 No. summary means including minimum value of data, 1st quartile, 2nd quartile, 3rd quartile and maximum value of data.

As data already in increasing order, we find quartiles using the following formula,

value\:of\:K_{th}\:Quartile\:,\, Q_k=\:value\:of\:(\frac{k\times{(n+1)}}{4})\,\:th\,observation

where n = No. of Observations.

∴, 1st Quartile,

Q_1 = \frac{1\times{(32+1)}}{4}\, th\:\:observation\\\\ \:\:\:=8.25\,th\:observation\\\: \:\:= 8th\,+0.25(9th-8th)\\\:\:\:= 55 + 0.25(57-55)\\\:\:\:= 55.5

2nd Quartile,

Q_2 = \frac{2\times{(32+1)}}{4}\, th\:\:observation\\\\ \:\:\:=16.5\,th\:observation\\\: \:\:= 16th\,+0.5(17th-16th)\\\:\:\:= 69 + 0.5(70-69)\\\:\:\:= 69.5

3rd Quartile,

Q_3 = \frac{3\times{(32+1)}}{4}\, th\:\:observation\\\\ \:\:\:=24.75\,th\:observation\\\: \:\:= 24th\,+0.75(25th-24th)\\\:\:\:= 79 + 0.75(81-79)\\\:\:\:= 80.5

Minimum value of data = 32 & Maximum value of data = 99

So, Values of 5 no. that are to ne include in Boxplot are 32, 55.5, 69.5, 80.5, 99.

BoxPlot is attached with this ans.

7 0
3 years ago
(02.02)Line segment EF is shown on a coordinate grid: A coordinate plane is shown. Line segment EF has endpoints negative 3 comm
Andrew [12]

Answer:

E'F' and EF are equal in length

Step-by-step explanation:

we have

The coordinates of point E(-3,2) and F(-1,2)

we know that

The rule of the reflection across the x-axis is

(x,y) ------> (x,-y)

so

Applying the rule of reflection across the x-axis

E(-3,2) -------> E'(-3,-2)

F(-1,2) --------> F'(-1,-2)

using a graphing tool

see the attached figure to better understand the problem

therefore

E'F' and EF are equal in length

7 0
3 years ago
Read 2 more answers
A car is driving at 70 kilometers per hour. How far, in meters, does it travel in 5 seconds?
notka56 [123]

Answer:

97.2 m

Step-by-step explanation:

\frac{70 km}{1 h} = \frac{70000 m}{3600 s} = 19.4 m/s

Distance = speed x time = 19.4 m/s x 5 s = 97.2 m

8 0
3 years ago
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