Sergio runs 2 and 1/4 miles in 30 minutes. What is Sergio's speed in miles per hour ? Answer as a decimal.

Answer:

Step-by-step explanation:

3/8 if you change 1/4 to 8ths you get 2/8. so if you add 1 3/8 + 2/8 you get 1 5/8 so you only need 3/8 to get to 2 quarts.

Answer:

25km/hr (take the word train as bus )

Step-by-step explanation:

Answer

Let x km/hr be the constant speed of the train,

Then Time taken to cover 300km=

x

300

hrs

Time taken to cover 300km when the speed is increased by 5km/hr=

x+5

300

hours

It is given that the time to cover 300km is reduced by 2 hours

∴

x

300

−

x+5

300

=2

⇒

x(x+5)

300(x+5)−300x

=2⇒2x

2

+10x=1500

⇒x

2

+5x−750=0⇒x

2

+30x−25x−750=0

⇒(x+30)(x−25)=0⇒x=25orx=−30

But x cannot be negative. Therefore x=25

Hence, the original speed of the train is 25km/hr

Answer:

[tex]x=54.6[/tex]

Step-by-step explanation:

Because ΔABC is similar to ΔSTU, we know that their corresponding sides are proportional. Therefore, we know that [tex]\frac{AB}{AC}=\frac{SU}{ST}[/tex]. We are given that [tex]AB=x[/tex], [tex]AC=21[/tex], [tex]SU=13[/tex], and [tex]ST=5[/tex]. After substituting the given values into the proportion and solving for [tex]x[/tex], we get:

[tex]\frac{AB}{AC}=\frac{SU}{ST}[/tex]

[tex]\frac{x}{21} =\frac{13}{5}[/tex] (Substitute given values into the proportion)

[tex]5*x=13*21[/tex] (Cross-Products Property)

[tex]5x=273[/tex] (Simplify)

[tex]\frac{5x}{5}=\frac{273}{5}[/tex] (Divide both sides of the equation by [tex]5[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=54.6[/tex] (Simplify)

Hope this helps!

Answer:

x=55

Step-by-step explanation:

these are similar triangles(they have same shape and different sizes)

also two side of these triangles are equal.

lets write ratio:

21:5=x:13

x=21×13/5=54.6≈55

Answer:

x > - 4

Step-by-step explanation:

Given

x > [tex]\frac{5x-12}{8}[/tex]

Multiply both sides by 8 to clear the fraction

8x > 5x - 12 ( subtract 5x from both sides )

3x > - 12 ( divide both sides by 3 )

x > - 4

Answer:

10560 feet

Step-by-step explanation:

Answer:

b=-1

Step-by-step explanation:

First step to any algebraic equation is to combine like-terms. This would mean that we would have to subtract 4b from both sides, I'm assuming its supposed to be plus ten and you just typed it wrong but, we get 5b+15=10 here we  subtract 15 from both sides and get 5b=-5. Now we isolate the variable b, getting b=-1.

Answer:

[tex]\frac{2}{3}[/tex]

Explanation:

What we need to do is to convert [tex]\frac{8}{12}[/tex] into a new - but still equal - fraction, one with a denominator of 3. In order to convert a fraction, you either divide or multiply both the denominator and the numerator by the same number.

We know that the answer has to be a fraction with the denominator of 3. Take a look at the denominator of [tex]\frac{8}{12}[/tex] - it's 12. Ask yourself: 12 divided by what number equals 3? That number would 4.

So, divide 8 by 4 as well and you would get 2. Therefore, the numerator would be 2 and the answer is [tex]\frac{2}{3}[/tex].

Answer:

a) Speed of the cyclist is (2.75/0.4) = 6.875 miles per hour.

b) It will take (5.5/6.875) = 0.8 hours to travel 5.5 miles at this rate.

Answer:

the answer is 86

Step-by-step explanation:

the answer is 86 because if all of her shirts are from the mall and she has 86 of them, 100% of 86 is 86

Answer:

Linear graphs have straight line so (B,C)

NON LINEAR GRAPHS DON'T HAVE STRAIGHT LINE (A,D)

appreciated if you mark brainliest

Answer:

B is linear

Hope it helps

Answer:

both angle 2x+60 and 4x+20 are equal

2x+60=4x+20

60=2x+20

40=2x

x=20

Step-by-step explanation:

Answer:B 26

Step-by-step explanation:

Answer:

The answer should be x = 3.

Step-by-step explanation:

Here is my work attached below:

Answer:

w1= -8, w2 = -4

Step-by-step explanation:

Answer: [tex]w^{2} + 13w + 36 = (w + 4)(w + 9)[/tex]

Step-by-step explanation:

[tex]w^{2} + 13w + 36 = (w + 4)(w + ?)[/tex]

w (w + ?) +4 (w + ?)

w² + ?w + 4w + ?

4w + ?w = 13w

Subtract both sides by 4w

?w = 9w

? = 9

4 (?) = 36

Divide both sides by 4

? = 9

[tex]w^{2} + 13w + 36 = (w + 4)(w + 9)[/tex]

Hope I helped!

Answer:

I believe it's A.

Step-by-step explanation:

She can kinda pick whatever, she wants, but i hope i answered properly

Arrow2Mania<3

Answer:

22738.96

Step-by-step explanation:

119.5% x 19028.42=

22738.9619

now rounded to 2 d.p is 22738.96

Answer:

[tex]AB= \frac{97}{3}[/tex]

Step-by-step explanation:

Properties of Rhombus

We are given two sides of the rhombus BC and CD. According to the first property:

4x + 15 = 7x + 2

Subtracting 4x:

15 = 3x + 2

Subtracting 2:

13 = 3x

Dividing by 3:

[tex]x=\frac{13}{3}[/tex]

It's required to find the side AB. Applying the first property again:

AB= BC = CD = 4x + 15

[tex]AB =4*\frac{13}{3}+15[/tex]

[tex]AB= \frac{52}{3}+15[/tex]

[tex]AB= \frac{97}{3}[/tex]

Answer:

a

Step-by-step explanation:

Answer:

d its y=12

Step-by-step explanation:

first you do that then 25 gbg

Answer:

the answer is $22.32

Step-by-step explanation:

Answer:

$22.32

Step-by-step explanation:

Answer:

A) [tex]84\pi[/tex] or approximately [tex]263.76[/tex] cubic meters

Step-by-step explanation:

The formula for finding the volume of a cone is [tex]V=\frac{1}{3}\pi r^{2} h[/tex] where [tex]V[/tex], [tex]r[/tex], and [tex]h[/tex] are the cone's volume, radius, and height, respectively. We are given that we need to solve for the cone's volume, and we are also given the cone's height, but we don't know its radius. Not to worry though because we are given its diameter, and since radius is simply half of the diameter, we know that the cone's radius is [tex]\frac{12}{2}=6[/tex] m. Now, we know that [tex]r=6[/tex] and [tex]h=7[/tex], so plugging these values into the equation, we get:

[tex]V=\frac{1}{3}\pi r^{2} h[/tex]

[tex]= \frac{1}{3} \pi *6^{2} *7[/tex] (Substitute given values into equation)

[tex]=\frac{1}{3}\pi *36*7\\=84\pi[/tex] (Simplify)

Since [tex]\pi[/tex] is approximately [tex]3.14[/tex], we know that [tex]84\pi =84*3.14=263.76[/tex]. Therefore, the volume of the cone is [tex]84\pi[/tex] or approximately [tex]263.76[/tex] cubic meters. Hope this helps!

5.33 F  is the average change in temperature per hour.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given, At 8:00 A.M., the temperature is 53 °F. At 11:00 A.M., it is 69 °F.

Since there is a Sum change in temperature in 3 hours

From the formula of average:

Average change = total change/ time taken

in our case

Total change = 69 - 53

Total change = 16 F

Total time taken = 11 - 8

Total time taken = 3

Thus Average = 16/3

Average = 5.3333

Therefore, the average change in temperature per hour is 5.33 F.

Learn more about Mean here:

https://brainly.com/question/521501

#SPJ5

Answer:

The correct answer is: -7, 7

Step-by-step explanation:

Given numbers are:

-7, 0, 7, 14

We have to check all pairs of numbers with respect to sum to check that which pair of numbers sums up to zero. So first of all, we will take -7 and will find its sum with other numbers.

So,

[tex]-7+0 = -7\\-7+7=0\\-7+14 = 7[/tex]

We can see that the sum of -7 and 7 is zero.

Hence,

The correct answer is: -7, 7

Your answer is B.) -7, 7

Answer:

no to low he ran 1144 miles in 11 years

Answer:

Sierra's profit was $41.

Step-by-step explanation:

Sierra realized she lost two-third of a dollar each hour when the shop was closed.

The expression that models this situation is,  ............. (1)

Now, we have to calculate Sierra's profit if the shop was closed for 6 hours.

So, putting h = 6 hours in the equation (1) we get,

dollars.

So, Sierra's profit was $41. (Answer)

Step-by-step explanation:

Answer:

$41 is your answer (~UnU)~

Step-by-step explanation:

Have a great day!

Answer:

You would have to mulitiply the reciprical by the 7.5t^3 by the other 3 terms

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Answer:

because u just do 3 x 65 then you divide by 10  two times

Step-by-step explanation: