The family is hiking in the mountains at a rate of 6 miles every 3 hours
How long would it take the family to hike 7.5 miles?
(Hint: You will have a decimal or fraction in your final answer!)

Answer:

The correct answer is "$5000".

Step-by-step explanation:

The given values are:

Two investments totaling,

= $47,500

Annual income,

= $3000

One investment yields per year,

= 9%

Other yield,

= 6%

Let,

Now,

⇒  [tex]0.09x+0.06(47,500-x)=3000[/tex]

⇒        [tex]0.09x+2850-0.06x=3000[/tex]

⇒                     [tex]0.03x+2850=3000[/tex]

⇒                                [tex]0.03x=150[/tex]

⇒                                       [tex]x=\frac{150}{0.03}[/tex]

⇒                                       [tex]x=5000[/tex]

The answer is  4.25 miles

Answer:

4

Step-by-step explanation:

2 · 4 = 8

8 + 4 = 12

the value of x is 4

Answer:

9.61cm

Step-by-step explanation:

Let height be x thus length will also be x

since the base is a square the width and length are also equal.

volume of pyramid=length×width×height

3

296cm³=x×x×x

3

296×3=x³

888=x³

x= cube root of 888

x=9.61cm

Answer:

x =30/19 and y =2/19

Step-by-step explanation:

5x + y = 8

x + 4y = 2

then

5x + y = 8

-5(x +4y =2)

5x + y = 8

-5x - 20y = - 10

0 +y - 20y = -2

- 19y = -2

y = 2/19 then

5x + 2/19 = 8

5x = 152-2/19

5x/5 =150/19 *1/5

x =30/19

Answer:

D. Parallelogram

Step-by-step explanation:

Answer:

The answer is Parallelgram(D)

two pairs of parallel sides in a quadrilateral

hope it helps...

Answer:

14

Step-by-step explanation:

hope it helps!

Answer:

-3

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

9

9x9 = 81

Therefore, 81 ÷ 9 is 9

Let X be a random variable denoting pulse rates of females as described, with mean µ = 74.0 bpm and standard deviation σ = 12.5 bpm. Then

P(70 < X < 78) = P((70 - µ)/σ < (X - µ)/σ < (78 - µ)/σ)

… = P(-0.32 < Z < 0.32)

… = P(Z < 0.32) - P(Z < -0.32)

… ≈ 0.6255 - 0.3745

… ≈ 0.2510

where Z is normally distributed with mean 0 and s.d. 1.

• • •

Next, you sample 25 females from the population and want to find the probability that their average falls between 70 and 78 bpm. Let [tex]X_i[/tex] denote the pulse rate of the i-th woman from the sample, and let Y be the random variable for the sample mean; that is,

[tex]Y=\displaystyle\sum_{i=1}^{25}\frac{X_i}{25}[/tex]

Recall that a sample of size n taken from a normal distribution with mean µ and s.d. σ has a mean that is also normally distributed with mean µ and s.d. σ/√n.

The mean stays the same, µ = 74.0, but now the s.d. is σ/√n = σ/5 = 2.5. So we have

P(70 < Y < 78) = P((70 - µ)/(σ/5) < (Y - µ)/(σ/5) < (78 - µ)/(σ/5))

… = P(-1.6 < Z < 1.6)

… = P(Z < 1.6) - P(Z < -1.6)

… ≈ 0.9452 - 0.0548

… ≈ 0.8904

Answer:

yb

Step-by-step explanation:

Answer:

857

Step-by-step explanation:

70th term = a + d(n-1)

d= 29-17=12

a=29

n-1 = 69

70th term = 29 + 12×69

= 29 + 828

= 857

Answer:

The correct answers 252 calories

Step-by-step explanation:

How I figured it out was by dividing 180 by 5, which gave me 36. Then 36(7) which equaled out to be 252.

Answer:

There were 200 passengers on the plane.

Step-by-step explanation:

1. 3/10  of the passengers were children -> 30% of the passengers were children

2. 60 children on the flight 30% of passengers = 60 people

divide by 3 -> 10% of passengers = 20 people

multiply by 10 -> 100% of passengers = 200 people.

Answer:

x = 1 and 10

Step-by-step explanation:

Given the equation \sqrt{-x+26}=x-6, we are to find the value of x

Take the square of both sides

(\sqrt{-x+26})²= (x-6)²

-x+26 = (x-6)²

Expand the parenthesis

-x+26 = x²-12x+36

x²-12x+36+x-26 = 0

x²-11x+10 = 0

x²-10x-x +10 = 0

x(x-10) -1()-10) = 0

(x-1)(x-10) = 0

x - 1 =0 and x - 10 = 0

x = 1 and 10

Hence the value of x is 1 and 10

9514 1404 393

Answer:

  (x, y) = ((√2)/2, (√2)/2))

Step-by-step explanation:

See the attached chart. The 45° angle can be found in the upper-right portion of the chart (1st quadrant).

Answer:

x is vertical *laying down* y in upward also (x,y) so ifthe first on would be anywhere on the y axis

Answer:

[tex]y = 56.6208[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find y

To find y, we make use of the relationship between sides lengths 44 & y and angle 39

The relationship is:

[tex]cos(39) = \frac{44}{y}[/tex]

i.e.

[tex]cos(\theta) = \frac{Adjacent}{Hypotenuse}[/tex]

Make y the subject

[tex]y = \frac{44}{cos(39)}[/tex]

[tex]y = \frac{44}{0.7771}[/tex]

[tex]y = 56.6208[/tex] -- approximated

Answer:

1

Step-by-step explanation:

Since they have the same denominator, it would be:

[tex]\frac{4}{3}-\frac{1}{3}=\frac{4-1}{3} =\frac{3}{3}=1[/tex]

Answer:

B. 2(11A + 7)

Step-by-step explanation:

The common factor of 22 and 14 is 2

Answer:

your answer will be 699.78 km

Step-by-step explanation:

Answer:

I = $ 6.00

Step-by-step explanation:

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 60 × 0.1 × 1 = 6

I = $ 6.00

The simple interest accumulated

on a principal of $ 60.00

at a rate of 10% per year

for 1 years is $ 6.00.

Answer:

1230

Step-by-step explanation:

i multipled to see what i was gone get

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.....

= 90 - 18

= 72

--> 72° is the complement angle of 18°

Hope it helps!

mark me brainliest pls.....

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9514 1404 393

Answer:

  (d)  new line is less steep

Step-by-step explanation:

Changing the slope from 3 to 1/3 makes the line less steep.

__

In the attachment, the blue line is the new line.

9514 1404 393

Answer:

  5 ft

Step-by-step explanation:

You are given the area and base lengths of a trapezoid and asked for its height. The formula for the area of a trapezoid is useful.

  A = (1/2)(b1 +b2)h

Filling in the given information, you have ...

  30 ft² = (1/2)(4 ft +8 ft)h

  30 ft² = (6 ft)h . . . . . . . . . . . simplify

  h = (30 ft²)/(6 ft) = 5 ft . . . . divide by the coefficient of h

The height of the trapezoid is 5 feet.