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1 year ago

At 9am you have run 2 miles. At 9:24 you have run 5 miles. What is your running rate in minutes per mile?

Mathematics

1 answer:

Drupady [299]1 year ago

3 0

Answer:

8minutes per mile

Step-by-step explanation:

You ran 3 miles since 9am divide 24 by 3 to get 8 minutes

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In triangle RST, U is the midpoint of RS, V is the midpoint of ST, and W is the midpoint of TR. Use the triangle diagram to answ

Zolol [24]

(1)

we are given

U is the midpoint of RS

and we have

$RU=12$

so, we can use formula

$RS=2RU$

we can plug values

$RS=2\times 12$

$RS=24$ ............Answer

(2)

V is the midpoint of ST

so, we get

$SV=VT$

now, we can plug values

$2x=11$

divide both sides by 2

$x=5.5$ .........Answer

(3)

now, we can find y

W is the midpoint of TR

so, we get

$RW=WT$

we can plug value

$15.9=3y$

divide both sides by 3

$y=5.3$

(4)

we can see that

triangles URW and RST are similar

so, their sides ratios must be equal

so, we get

$\frac{RW}{RT} =\frac{UW}{ST}$

we can plug values

$\frac{15.9}{2\times 15.9} =\frac{UW}{2VT}$

$\frac{15.9}{2\times 15.9} =\frac{UW}{2\times 11}$

$UW=22\times \frac{15.9}{2\times 15.9}$

$UW=11$ ...........Answer

(5)

we can see that

triangles SUV and RST are similar

so, their sides ratios must be equal

so, we get

$\frac{SU}{SR} =\frac{UV}{RT}$

now, we can plug values

$\frac{12}{2\times 12} =\frac{UV}{2\times 15.9}$

$UV=2\times 15.9\times \frac{12}{2\times 12}$

$UV=15.9$ .............Answer

4 0

1 year ago

The dot plot below shows how many chocolate chips were in each cookie Lauren brought to school.

Marta_Voda [28]

8+9+10= 27 and 27 divided by 3 is 9. So the mean of the chocolate chips is 9

5 0

1 year ago

The Leaning Tower of Pisa in Italy was built between 1173 and 1350. A. Write an equation in slope-intercept form for the yellow

mote1985 [20]

Answer:

The answer is below

Step-by-step explanation:

From the image of the leaning tower of Pisa, we can see that it passes through the point (7.75, 0) and (10.75, 42).

a) The equation of a line in slope intercept form is given by y = mx + b, where m is the slope and b is the intercept. Also, the equation of line passing through

$(x_1,y_1)\ and\ (x_2,y_2)\ is:\\\\y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)$

Hence since it passes through (7.75, 0) and (10.75, 42), the equation is:

$y-0=\frac{42-0}{10.75-7.75} (x-7.75)\\\\y=14(x-7.75)\\\\y=14x-108.5$

b) When the tower is 56 meters tall, i.e. y = 56, we need to find the value of x:

y = 14x - 108.5

56 = 14x - 108.5

56 + 108.5 = 14x

164.5=14x

x = 164.5/14

x = 11.75

When the tower is 56 meters tall, the top of the tower is 11.75 m off center

5 0

2 years ago

in june , a camp has 325 campers and 26 counselors, in july,265 campers leave and 215 new campersarrive.How many counselors does

Lostsunrise [7]

Answer:

22 counselors

Explanation:

1. Ratio of campers to counselors in june:

number of campers: 325

number of counselors: 26

Ratio = number of campers / number of counselors

Ratio = 325 campers / 26 counselors

2. Ratio of campers to counselors in july:

number of campers = 325 - 265 + 215 = 275

number of counselors = x (unknown)

Ratio = 275 campers / x

3. Equivalent ratios:

325 campers / 26 counselors = 275 campers / x

Solve for x:

x = (26counselors/325campers) × 275campers = 22 counselors ← answer

3 0

1 year ago

The grocery store is having a sale on frozen vegetables. 4 bags are being sold for $11.96. At this rate what is the cost of: 9 b

Alexandra [31]

Answer:

$26.91

Step-by-step explanation:

11.96 divided 4 = 2.99

2.99 x 9 = $26.91

4 0

1 year ago

Read 2 more answers