Esther and her 6 brothers went shopping at the mall. She shopped in 12 different stores while her brothers each shopped in 8 different stores. How many stores did Esther and her brothers shop in altogether?

Answer:

8x = 136

Where: x = 17

Step-by-step explanation:

Joshua is writing a novel. He wrote the same number of pages each day for a 8 days. At the end of 8 days he had 136 pages complete. Write an equation relating x, the number of days, to y, the total pages.

Let the number of pages read per day = x

Hence, the number of pages after 8 days = 8 × x = 8x

Total number of pages = y= 136

Therefore:an equation relating x, the number of days, to y, the total pages.

= 136 = 8x

Solving for x

136/8 = x

x = 17

Given:

The expression is

[tex](-5)^7\div  (-5)^2[/tex]

To find:

The simplified form of the given expression so there is only one positive power for the baser -5.

Solution:

We have,

[tex](-5)^7\div  (-5)^2[/tex]

[tex]=\dfrac{(-5)^7}{(-5)^2}[/tex]

Using the properties of exponents, the given expression can be written as

[tex]=(-5)^{7-2}[/tex]                  [tex][\because \dfrac{a^m}{a^n}=a^{m-n}][/tex]

[tex]=(-5)^{5}[/tex]

Here, the base is -5 and the exponent is 5.

Therefore, the correct option is C.

Answer:

y=1/3x-4

Step-by-step explanation:

Answer:

y=1/3x-4

Step-by-step explanation:

4 is negative cause it says less than..

Step-by-step explanation:

25/-15×9

The answer is -15

Answer:

true

Step-by-step explanation:

Answer:

TRUE

Step-by-step explanation:

THE FIGURE HAS PARALLEL LINES.

Answer:

4x + 6 feet

Step-by-step explanation:

The deck is the shape of a rectangle

Hence, the perimeter of a rectangle is:

P = 2L + 2W

Where

L = Length = x feet

The width of the deck was 3 feet longer than the length.

W = Width = 3 + x feet

Hence:

Perimeter = 2(x ) + 2(3 + x)

Perimeter = 2x + 6 + 2x

Perimeter = 4x + 6 feet

Hence, the expression for the Perimeter of the deck is given as:

4x + 6 feet

Answer:

The answer is 1/36

Step-by-step explanation:

Step one:

Given data

sample space= $1, $2,$5,$10,$20,$50

sample size= 6

Required

The probability of choosing 20 and 10 dollar bill

Step two

The probability is

1/6*1/6= 1/36

Answer:

Step-by-step explanation:

The answer is D

1.19/7-.17

1.20/8-.15

1.26/9-.14

1.08/6-.18

i think this is it

Answer:

Function

Step-by-step explanation:

These coordinates do represent a function. For a relation to be a function every y-value must have an x-value, this means x's cannot repeat. In this relation x's never repeat, they simply increase by one every time. Therefore, this is a function.

Answer:

An = 74(1.07)^n-1

Step-by-step explanation:

Here, we want to get the explicit rule

We are told that the sequence is geometric

At hour 4, we have that this is the 4th term

With conformance to the rule of geometric progression;

T4 = ar^3

90 = ar^3

for the 6th hour, this is the sixth term

103 = ar^5

dividing the 6th term by the 4th term, we have that

103/90 = ar^5/ar^3

103/90 = r^2

r = 1.07

To get a, we simply use any of the terms to substitute

using;

ar^3 = 90

a = 90/r^3

a = 90/1.07^3

a = 73.5 which is approximately 74

So the explicit rule is as follows;

An = 74(1.07)^n-1

Answer:

x = 12

Step-by-step explanation:

DE + EF = DF

2x - 1 + 5x - 13 = 70

7x - 14 = 70

7x = 70 + 14

    = 84

x = 84 ÷ 7

x = 12

Answer: x=12

Step-by-step explanation:

2x-1+5x-13=70

Combine like terms

7x-14=70

Add 14 to both sides

7x=84

Divide both sides by 7

X=12

9514 1404 393

Answer:

  100°

Step-by-step explanation:

Angle AKC is a vertical angle with angle BKD, so has the same measure. Since K is the center of the circle, arc AC has the same measure as angle AKC: 100°.

__

A diagram may help.

Answer:

Step-by-step explanation:

Answer:

1-1d

Step-by-step explanation:

i think that is the answer

Answer:

-1-d

Step-by-step explanation:

Answer:

The annual interest rate is 12.05%

Step-by-step explanation:

Answer:

y = (1/3)x - 4

Step-by-step explanation:

Any line perpendicular to the given equation y = -3x + 4 will have a slope which is the negative reciprocal of -3; that is, +1/3.

Start with the general slope-intercept form y = mx + b.

Insert the coordinates 6 and -2 into y = mx + b:  -2 = (1/3)(6) + b, or

-2 = 2 + b.  Thus, b = -4, and the desired equation is

y = (1/3)x - 4

Answer: Friday

Step-by-step explanation:

If February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday.

First and foremost, we should realise that February has 28 days but in leap years which takes place every 4 years, it has 29 days.

We should realise that the dates in the calendar are arranged in such a way that if a particular date falls on a particular day this year, the date will fall on the next day next year. e.g. since January 20 falls on. Wednesday this year, it will fall on a Thursday next year.

Since February 29 is a date for a leap year, following the above explanation, if February 29th is on a Sunday, then, the day that the next February 29th will fall on will be Friday which is in the next four years.

Answer:

it 982y

Step-by-step explanation: the kid just do your work

Answer:

19.5km^2

Step-by-step explanation:

4500 times 6.5%

divide 292.5 by 15

then you get 19.5

Answer:

32 quizzes

Step-by-step explanation:

It is given that,

Walter took a total of 16 quizzes over the course of 2 weeks.

16 quizzes = 2 weeks

⇒ 1 weeks = 8 quizzes

We need to find attending 4 weeks of school this quarter, how many quizzes will Walter have taken in total.

⇒ 4 weeks = 4 × 8 quizzes

= 32 quizzes

So, 32 quizzes will Walter have taken in total.

9514 1404 393

Answer:

  The central angle is about 8.7°.

Step-by-step explanation:

The relation between angle and arc length is ...

  s = rθ

where r is the radius, and θ is the central angle in radians.

  600 = 3950·θ

  θ = 600/3950 radians = (12/79)(180°/π)

  θ ≈ 8.7°

Answer:

y=5

Step-by-step explanation:

Any equation that's y=c (or any other constant) is a horizontal line. Imagine a parabola and a horizontal line plotted on a graph.

There are three possibilities of where the horizontal line can be:

It may not touch the parabola at all,

It may touch the parabola at one specific point (it's a tangent line)

Or it may touch the parabola at two points (it's a secant line)

The question prompt tells us that the horizontal line y=c touches the parabola at exactly one point; so for it not to touch two points it has to touch the parabola at the vertex point, right?

If we graph the parabola (or we could just look at the equation and it should be intuitive), we find out that the y-intercept is 5. In other words the point where the function reaches its maximum value (maxima) is at y=5.

For this reason, the value of c is 5 since if it was any value below that it would touch more than one point and if it was above it it wouldn't touch any point.

Here's an image so that it'll be a bit clearer hopefully:

Good luck!

Answer:

365

Step-by-step explanation:

200-123+289-2/2

77+289−2/2

366−2/2

366−1

= 365

Answer:

H in terms of c is H = 5c³.

Step-by-step explanation:

Given that:

H = 40 and c = 2

H varies directly to the cube of c.

Which means that,

H ∝ c³

Let,

k be the proportionality constant.

H = kc³

Putting H=40 and c=2

[tex]40=k(2)^3\\40=k(8)\\40=8k\\8k=40[/tex]

Dividing both sides by 8,

[tex]\frac{8k}{8}=\frac{40}{8}\\k=5[/tex]

Now,

H in terms of c.

H = 5c³

Hence,

H in terms of c is H = 5c³.

Answer:

Actually the one that you have marked is the answer

Step-by-step explanation:

Divide 2 by 5 and get 0.4. Next in each answer choice divide each number by each other beginning with the lowest number by the highest number.

Answer:

15in

Step-by-step explanation:

Convert the 15 ft to inches (180) and then set up the proportion.\frac{1}{12} = \frac{x}{180}121=180x .  Cross multiply to get that 12x = 180 and x = 15 inches.

YOU WILL NOT FAIL, YOU SHALL PASS

Answer: w^6/9

Step-by-step explanation:

first, i evaluated the powers.

3^-2 x 1 x 1/w^-6

then, i calculated those products.

3^-2/w^-6

then, i just expressed it with a positive exponent.

w^6/3^2

finally, i evaluated that.

w^6/9

Answer:Yes

Step-by-step explanation:

the normal exponential function is ab^x, where a represent the growth( sometimes you don't need this part), b is average rate of growth and x is the number of times we exponate. [tex]-2^{x}[/tex] is a exponetital function because it includes the b and x part. The a part is someetimes used but not always.

A function is a relationship between inputs where each input is related to exactly one output.

An exponential function is a function in the form

y = [tex]a^{x}[/tex]

Where a = constant and x = variable.

y = [tex](-2)^{x}[/tex] is an exponential function.

Where -2 is a constant and x is a variable.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

y = [tex](-2)^{x}[/tex]

An exponential function is a function in the form

y = [tex]a^{x}[/tex]

Where a = constant and x = variable.

Example:

y = [tex]3^{x}[/tex]

y = [tex]5^{x}[/tex]

We see that,

y = [tex](-2)^{x}[/tex]

-2 is a constant

x is a variable

Thus,

y = [tex](-2)^{x}[/tex] is an exponential function.

Where -2 is a constant and x is a variable.

Learn more about functions here:

https://brainly.com/question/28533782

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