a cyclist travels 14 hours in per hour. what is the cyclists speed in feet/ minute. 1 mile= 5280 feet

Answer:

a = 2, b = 4, c = 8

Step-by-step explanation:

Let:

First (smallest) number = a

Second number = b

Third number(Largest) = c

The sum of three numbers is 14.

a + b + c = 14...... Equation 1

The largest number is 4 times the smallest number.

c = 4a.... Equation 2

The sum of the smallest and twice the largest is 18.

a + 2c = 18........ Equation 3

We substitute Equation 2 in Equation 3

to solve for a

a + 2(4a) = 18

a + 8a = 18

9a = 18

a = 18/9

a = 2

Hence, the smallest number = 2

We find c

c = 4a.... Equation 2

c = 4(2)

c = 8

The largest number is 8

We find b

a + b + c = 14...... Equation 1

2 + b + 8 = 14

b + 10 = 14

b = 14 - 10

b = 4

What are all three numbers?

a = 2, b = 4, c = 8

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Answer

n= 0

Explanation

- 3 (n - 3) = 3n + 9−3(−3)=3+9

−3+9=3+9

−3=3

-3n=3n−3n=3n

−3−3=3−3

−6=0

Answer:

24/6048 = 252

Step-by-step explanation:

brainlest plz

and why does she have so many beads

Answer:

she said 24 only goes into 60 once, when in reality it can go in twice

Answer:

36

Step-by-step explanation:

9x is equal to 9 multiplied by x.

x=4 so it is 9 x 4

9 x 4=36

Answer:

180

Step-by-step explanation:

just add 174 to 3 +3 then ya will find ya andwer

Answer: 1:6

Step-by-step explanation:

Reduce each side of the ratio

Answer:

For every 1 squirrel there are 6 acorns

Step-by-step explanation:

u just divide 18 by 3

Answer:

B

Step-by-step explanation:

4|x - 3| > 8=x< 1 and x2 5

i think

Answer: $8.4

Step-by-step explanation:

To find 30% of 12 first, we move the decimal point to the left two times. Now we have .3 next multiply it by twelve. (3.6) This number is 30% of 12. Lastly, subtract 3.6 from 12 to get your answer.

Answer:

a

Step-by-step explanation:

Answer:

first we have divide

8x/2x their power going to sub 3-9

4xpower-6

we have to keep than 1/4power sign going to plus

1/4 power 6

Answer:

3

Step-by-step explanation:

In a slope intercept linear equation, the slope is always the number in front of the x value in an equation like y = mx + b.

So the slope is the 3 in front of the x value.

Complete question is;

Statistics can help decide the authorship of literary works. Sonnets by a certain Elizabethan poet are known to contain an average of 8.88 new words (words not used in the poet's other works). The standard deviation of the number of new words is 3. Now a manuscript with 6 new sonnets has come to light, and scholars are debating whether it is the poet's work. The new sonnets contain an average of 12.4 words not used in the poet's known works. We expect poems by another author to contain more new words, so to see if we have evidence that the new sonnets are not by our poet we test the following hypotheses.

H0 : µ = 8.88 vs Ha : µ > 8.88

Give the z test statistic and its P-value. What do you conclude about the authorship of the new poems? (Let a = .05.)

Use 2 decimal places for the z-score and 4 for the p-value.

a.What is z ?

b.The p-value is greater than ?

c. What is the conclusion? A)The sonnets were written by another poet or b) There is not enough evidence to reject the null.

Answer:

a) z = 2.87

b) P-value ≈ 0.0021

c) The sonnets were written by another poet

Step-by-step explanation:

We are given the hypothesis as;

Null hypothesis; H0 : µ = 8.88

Alternative hypothesis; Ha : µ > 8.88

We are also given;

Sample size; n = 6

Population Standard deviation; σ = 3

Sample mean; x¯ = 12.4

a) formula for z - value is;

z = (x¯ - µ)/(σ/√n)

z = (12.4 - 8.88)/(3/√6)

z = 2.87

b) we are given the significance value as α = 0.05.

From online p-value from z-score calculator attached and using z = 2.87; one tail distribution; α = 0.05, we have;

P-value = 0.002052

Approximating to 4 decimal places;

P-value ≈ 0.0021

c) The p-value is less than the significance level, thus we react the null hypothesis and conclude that the sonnets were written by another poet

1250/10=125

Hope this helps and have and AWESOME night!!! :)

Answer:

i dunno

Step-by-step explanation:

Answer:

Y = x + 3

Step-by-step explanation:

The first equation has a slope of 1 so this new one must get the y intercept you must subtract 1 from both the x and the y. Then use the same slope.

Answer:

Y = x + 3

Step-by-step explanation:

The first equation has a slope of 1 so this new one must get the y intercept you must subtract 1 from both the x and the y. Then use the same slope.

Answer:

it's either the 1st choice or 4th

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From up to down :

[tex]6[/tex]

_________________________________

[tex]60[/tex]

_________________________________

[tex]600[/tex]

_________________________________

[tex]6,000[/tex]

_________________________________

[tex]60,000[/tex]

_________________________________

[tex]600,000[/tex]

_________________________________

[tex]6,000,000[/tex]

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Answer:

1. 6

2. 60

3. 600

4. 6,000

5. 60,000

6. 600,000

7. 6,000,000

Step-by-step explanation:

Answer:

y-intercept occurs when x = 0

19x + 8y=7​

19*0 + 8y = 7

y -intercept = (0, 7/8)

Step-by-step explanation:

Answer:

Hope this helped!

Step-by-step explanation:

The most easiest way to understand this is by considering a simple right angled triangle:-

For any right angled triangle

sin(theta)=perpendicular/hypotenuse

cos(theta)=base/hypotenuse

Since hypotenuse is the largest side so neither sin nor cos could be larger than 1.

Answer:

12:05 PM

Step-by-step explanation:

Priya started at 9:00 AM.

Speed of Priya = 6 km/hr

Joe started at 9:30 AM.

Time at which Joe overtakes Priya = 10:20 AM

Total time taken by Priya = 1 hour 20 min = [tex]\frac{4}{3}\ hr[/tex]

Total time taken by Joe = 50 min = [tex]\frac{5}{6}\ hr[/tex]

Distance traveled by Priya and Joe is same.

Formula for distance is:

[tex]Distance =Speed\times Time[/tex]

Distance covered by Priya = [tex]6 \times \frac{4}{3}[/tex] km

Let speed of Joe = [tex]S[/tex] km/h

Distance covered by Joe = [tex]S \times \frac{5}{6}[/tex]

[tex]S \times \dfrac{5}{6} = 6 \times \dfrac{4}{3}\\\Rightarrow S =\dfrac{48}{5}\ km/hr[/tex]

Total distance to be covered = 16.8 km

Total time to be taken by Joe =

[tex]\dfrac{16.8}{\frac{48}5} = \dfrac{16.8\times 5}{48} = \dfrac{84}{48} = 1.75\ hours[/tex]

1.75 hours mean 1 hour and 45 minutes.

Finishing time at which Joe finishes = 9:30 AM + 1 hour 45 minutes = 12:05 PM

Answer:

1000  centímetros = 10 metros por 5 segundos a velocidad constante

Step-by-step explanation:

1 centímetro = 0.01 metros

80 centímetro = 0.08 metros

Answer:

217648314.791

Step-by-step explanation:

Answer:

217648314.791

Step-by-step explanation:

Multiply first and then divide and then you add the numbers together.