Betty and Sally are 28 miles apart on a path when they start moving toward each other. Betty runs at a constant speed of 6 miles per hour, and Sally walks at a constant speed of 2 miles per hour. How long does it take until they meet?

Answer:

It would take her 90 minutes to run 10 miles.

Step-by-step explanation:

First you should divide 54 by 6 and you'll get 9. So it takes her 9 minutes to run 10 miles (which is physically impossible). You multiply 9 times 10 and get 90.

1. 88%

2. 20%

3. 65%

4. 4 questions incorrect

5. $75

Answer:

Cannot prove as congruent

Step-by-step explanation:

AAA cannot be used to prove whether a triangle is congruent. Only SSS, SAS, ASA, and AAS can be used.

Answer:

Concept: Percentage Change

Answer:

Formula: Future value of annuity

In 20 years: $249,875

Total Interest: $99,875

Step-by-step explanation:

Use the formula for future value:

FV =

P = $6,000

r = 0.04

n = 1

t = 25

FV =

FV = $249,875

To find the total interest earned, first find the total value of the deposit payments:

$6,000 annual payments for 25 years = 6,000 • 25

= $150,000

(I copied that explanation from somewhere else so its a little messed up. I just couldn't explain it properly. Hope this helps!)

Account balance In 20 years is $249,875 and total interest earned is $99,875.

The FV formula assumes a constant rate of growth and a single up-front payment left untouched for the duration of the investment. The FV calculation can be done one of two ways, depending on the type of interest being earned.

We have,

P = $6,000

r = 0.04

n = 1

t = 25

We know the formula for future value

​FV= PV [tex](1 + r)^{n}[/tex].

where:

P=Investment amount

R=Interest rate

T=Number of years

According to the question​​

FV=$6,000×(1+0.04

FV = $249,875

To find the total interest earned, first find the total value of the deposit payments:$6,000 annual payments for 25 years = 6,000 × 25= $150,000

Total interest earned = FV - annually payment for 25 year = $249,875 - $150,000 = $99,875

To learn more about future value from here

https://brainly.com/question/14860893

#SPJ2

Answer:

The boys' comic books are on the teacher's desk

comically

Step-by-step explanation:

Answer:

43

Step-by-step explanation:

9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  72 +64 +(4x +20) = 180

  4x = 24 . . . . . subtract 156

  x = 6 . . . . . . .  divide by 4

Answer:

Equation: y = [tex]\frac{7}{4}[/tex] x

21/2 cups of water

Step-by-step explanation:

Plug in 7 as y and 4 as x

7 = 4k

Find k

k = 7/4

Then plug k into th equation

y = 7/4 x

For the second part of the question:

Plug in x which is 6 into the bolded equation.

y = (7/4)(6) = 42/4 = 21/2 (simplified form)

21/2 cups of water

Answer:

John pay:449.65

Step-by-step explanation:

(391×15)÷100=58,65

391+58,65=449,65

Answer:

no it is not c it is b

Step-by-step explanation:

2+(5×4)-(8×5/4)

2+20-40/4

22-10

12

The correct option is B, which is 12.

Given to us:

[tex]2+5\times4-8 \div (\frac{4}{5})[/tex]

To solve such questions, we use BODMAS Rule which helps us decide the order of the operations to solve the mathematical problems.

B - Brackets

O - Order/Power

D - Division

M - Multiplication

A - Addition

S - Subtraction

Therefore, In equation [tex]2+5\times4-8 \div (\frac{4}{5})[/tex] ;

1. solve brackets first,

[tex]2+5\times4-8 \div (0.8)[/tex]

2. solve Division,

[tex]2+5\times4-10[/tex]

3. Solving Multiplication,

[tex]2+20-10[/tex]

4. Solving Addition,

[tex]22-10[/tex]

5. Solving Subtraction,

12.

Hence, the correct option is B, which is 12.

To know more visit:

https://brainly.com/question/24383445

Answer: a = 47.3;

              p = 0.65

Step-by-step explanation: A power function is of the form [tex]y=ax^{p}[/tex] and passes through points (2,5) and (3,81), i.e.:

[tex]5=a.2^{p}[/tex]

[tex]81=a.3^{p}[/tex]

To determine the two unknows, solve the system of equations:

[tex]log5=log(a.2^{p})[/tex]

[tex]log81=log(a.3^{p})[/tex]

Using multiplication and power rules:

[tex]log5=loga+plog2[/tex]

[tex]log81=loga+plog3[/tex]

Giving values to constants:

0.7=loga+0.3p

2=loga+0.5p

This system of equations can be solved by subtracting each other:

[tex]-1.3=-0.2p[/tex]

p = 0.65

Substituting p into one of the equations above:

[tex]loga+0.5(0.65)=2[/tex]

[tex]loga=1.675[/tex]

[tex]a=10^{1.675}[/tex]

a = 47.3

The constants a and p of the power function which passes through points (2,5) and (3,81) are 47.3 and 0.65, respectively.

Answer:6.59

Step-by-step explanation:

Answer:

6.59

if you meant

10% of 65.9 then you answer is 0.659

Answer:

Step-by-step explanation:

Maggie made the following quilt from 64 square pieces of fabric, what is the side length of each square piece

Answer:

B. 5 |q−10| =35

Step-by-step explanation:

Solution:

let's try to understand the problem clearly.

In this question, we asked to calculate the number units which that company produces so that it's profit is decreased from the maximum profit.

We know that, for 10000 units = company will get maximum profit.

Any value less than or greater than 10000 units will decrease the profit.

and we also know that,

For every 1000 units profit is decreased by $5000.

So if maximum profit is at 10000 units,

Then at 9000 units = it will have profit decreased by 5000 from the maximum

if q = 11000 then profit = Maximum - 5000

But we are asked to calculate the profit decrease of $35000 from the maximum.

it means we need 5000 decreased by 7 times = 10000 +  7000 = 17000 units

So, if company produces 17000 units,

profit will be decreased by 5(7000) = 35000

Finally,

B. is the only equation which satisfies this condition.

B.  5 (q-10) = 35

(q-10) = 7

q = 10 + 7 = 17

q = 17000 units

Hence, for 17000 units, company's profit will decrease $35000 from the maximum profit.

Answer:

2h + g

Step-by-step explanation:

Answer:

6 cm

Step-by-step explanation:

24 dived by 4=6

Answer:

D

Step-by-step explanation:

got it correct on EDMENTUM

Step-by-step explanation:

Coordinates of A≡(−1,3)

Coordinates of B≡(7,9)

Coordinates of C≡(15,-3)

The median through the vertex C will meet at the mid point of AB.

Coordinate of mid-point on AB=[(-1+7)/2 , (3+9)/2]= (3,6)

Now,

Length of median through vertex C= Distance between (15,-3) and (3,6)

Therefore,

Length of median = √(3-15)²+(6-(-3))²=√144+81=15unit

Hence the length of median through the vertx C is 15 units.

Answer:

A

Step-by-step explanation:

96 ounces = to 6 pounds

7-6=1

Answer:

y = 1/3x - 1

Step-by-step explanation:

Answer:

560

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Your answer is 1.5 have a good day

Answer:

The table represents a linear function.

The graph of linear function y = 3x is attached below.

Step-by-step explanation:

Given the table

Number of Hours           1             3                 5

Number of Tents             3            9                15

Given that the slope is 3.

Finding the slope between (1, 3) and (3, 9)

Slope = (y₂-y₁) / (x₂-x₁)

          = [9-3] / [3-1]

           = 6 / 2

           = 3

Finding the slope between (3, 9) and (5, 15)

Slope = (y₂-y₁) / (x₂-x₁)

          = [15-9] / [5-3]

           = 6 / 2

           = 3

As the value of slope remains constant i.e. slope = m = 3.

Using the point-slope form of the line equation

[tex]y-y_1=m\left(x-x_1\right)[/tex]

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 3 and the point (1, 3)

[tex]y - 3 = 3 (x-1)[/tex]

[tex]y-3 = 3x-3[/tex]

[tex]y = 3x-3+3[/tex]

[tex]y = 3x[/tex]

Comparing with the slope-intercept form of a linear function of line

y = mx+b     where m is the slope and b is the y-intercept

slope = 3 and y-intercept b = 0

Therefore, the table represents a linear function.

The graph of linear function y = 3x is attached below.

Answer:

The slope is 5/2

Answer:

your answer is D

Step-by-step explanation:

hope this helps

Answer:

35 dogs

Step-by-step explanation:

Given

[tex]49\ dogs: 28\ cats[/tex]

Required

Determine the number of dogs for 20 cats

Represent the required number of dogs as a ratio of number of cats

[tex]x : 20\ cats[/tex]

So, we have:

[tex]49\ dogs: 28\ cats[/tex]

[tex]x : 20\ cats[/tex]

Since, the ratio is the same throughout, we have:

[tex]x : 20\ cats[/tex] = [tex]49\ dogs: 28\ cats[/tex]

Convert ratio to fraction

[tex]\frac{x}{20} = \frac{49}{28}[/tex]

[tex]\frac{x}{20} = \frac{7}{4}[/tex]

Multiply through by 20

[tex]x = \frac{7}{4} * 20[/tex]

[tex]x = 7 * 5[/tex]

[tex]x = 35[/tex]

Answer:

12 side polygon

Step-by-step explanation:

Interior angle of n side regular polygon: = ((n-2)x180)/n

((n-2)x180)/n = 150

(n-2)x180 = 150n

180n - 360 = 150n

30n = 360

n = 12

check: (12-2)x180/12 = 150

Answer:

The polygon has 12 sides (a dodecagon).

Step-by-step explanation:

Angles in a Regular Polygon

A polygon with n sides has a total sum of internal angles equal to 180°(n-2). This means that each angle (in a regular polygon) measures

[tex]\displaystyle \frac{180(n-2)}{n}[/tex]

We are given the interior angle of 150°, thus:

[tex]\displaystyle \frac{180(n-2)}{n}=150[/tex]

Multiplying by n:

[tex]\displaystyle 180(n-2)=150n[/tex]

Operating

[tex]\displaystyle 180n-360=150n[/tex]

Rearranging and simplifying:

[tex]\displaystyle 180n-150n=360[/tex]

[tex]\displaystyle 30n=360[/tex]

[tex]n=360/30=12[/tex]

n = 12

The polygon has 12 sides (a dodecagon).

Answer:

50e=t

Step-by-step explanation:

Wheaty Squares = w

Mighty O's = m

ounces in each box = e

total ounces of cereal = t

w+m=30+20=50