Suppose we get 24 inches of snow tomorrow. Warm weather comes the next day. For the next several days it stays warm and begins to melt the snow. If the snow melts at 2.5 inches a day, how much snow will be left on the ground after 7 days?

Answer:

2c + 15 = 25

Step-by-step explanation:

The total he wants to earn is $25, so we know the equation must be an expression that equals 25.

____ = 25

He earns a fixed $15. He also earns $2 per customer.

The total he earns is the sum of the fixed amount ($15) and the amount he earns per customer. Let the number of customers be c. The amount he earns from the number of customers is 2c.

fixed amount + amount per customer = 25

15 + 2c = 25

2c + 15 = 25

Answer: 2c + 15 = 25

Answer:

Rocket can hold maximum 4.5 gallons of water.

Step-by-step explanation:

Volume of the rocket = Volume of the cone on the top + Volume of the cylinder at the bottom

Volume of the cone = [tex]\frac{1}{3}\pi r^{2}h[/tex]

Here r = radius of the circular base

h = height of the cone

Volume = [tex]\frac{1}{3}\pi (4)^{2}(14)[/tex]

             = [tex]\frac{224\pi }{3}[/tex] cubic inch

Volume of the cylinder = [tex]\pi r^{2}h[/tex]

Here r = radius of the base

h = height of the cylinder

Volume = [tex]\pi (4)^{2}(16)[/tex]

             = 256π cubic inches

Volume of the rocket = [tex]\frac{224\pi }{3}+256\pi[/tex]

                                   = [tex]\frac{992\pi }{3}[/tex]

                                   = 1038.82 cubic inches

Since 231 cubic inches volume of a rocket can hold water = 1 gallon

Therefore, 1038.82 cubic inches space can hold water

= [tex]\frac{1038.82}{231}[/tex]

= 4.497

≈ 4.5 gallons

Rocket can hold 4.5 gallons of water.

Answer:

The number of hours Moran wold have driven before Andre catches up with him is 14 hours

Step-by-step explanation:

The given information are;

The speed with which Andre will drive = 70 miles per hour

The speed with which Morgan will drive = 55 miles per hour

The time of departure of Morgan = 3 hours before Andre departs

Let the time at which Andre catches up with Morgan be, t

We have, from the definition of distance traveled;

Distance traveled =Speed × Time

The distance Morgan would have driven in t hours = 55 × t

Given that to catch up with Morgan, Andre has to travel the same distance, and that Andre starts 3 hours late, we have;

The distance Andre would  drive when Morgan has driven for t hours = 70 × (t - 3)

Therefore, since the distance at the point they meet is the same distance for them both, we have;

55 × t = 70 × (t - 3)

55 × t = 70 × t - 210

210 = 70 × t - 55 × t  = 15 × t

t = 210/15 = 14 hours

Therefore, Morgan would have driven for 14 hours before Andre catches uo with him.

Answer:

Morgan walks 2 miles per hour.

Step-by-step explanation:

took the test. ;)

Answer:

v^2 -4v-21

Step-by-step explanation:

Answer:

Statements B, D, E are TRUE

Step-by-step explanation:

A. The expression 50ℎ represents the total charge for Rock the House Digital Designs.

NOT TRUE

The expression 500 + 50h represent total charge for Rock the house digital design

B. The expression 75ℎ represents the total charge for Elegance Home Architects.

TRUE

Elegance Home Architects

75h

C. The cost for using Rock the House Digital Designs for an initial consultation only is $550.

NOT TRUE

The cost for using Rock the House Digital Designs for an initial consultation only is $500

D. If the Johnson family hires the design firm for 15 hours, then Elegance Home Architects will be cheaper.

TRUE

Rock the house digital designs

$500 + $50h

= 500 + 50(15)

= 500 + 750

=$1,250

Elegant home architect

$75h

= 75(15)

= $1,125

Elegant home architect is cheaper

E. If the Johnson family hires the design firm for 40 hours, then Rock the House Digital Designs will be cheaper.

TRUE

Rock the house digital designs

$500 + $50h

= 500 + 50(40)

= 500 + 2,000

= $2,500

Elegant home architect

$75h

= 75(40)

= $3,000

Rock the House Digital Designs will be cheaper.

Answer:

3(2a+4b+7)+6a = 12a+12b+21

Answer:

C.  Every integer is a rational number

Step-by-step explanation:

Integers are whole numbers which could be positive or negative and zero. Examples of integers are 330, 21, 10,052, 0, -425, -879, etc. Fractions are not integers.  Rational numbers are numbers that are expressed as the ratio of two integers. So numbers that have integers as their numerators and denominators can be rightly said to be rational numbers. Examples are, 5/7, 10,111/880, -365/15.

Since both the numerators and denominators are whole numbers, the entire figures can be said to be rational numbers. So, fractions are rational numbers.    

Answer:

Step-by-step explanation:

Answer:

From unit Symbol Equals Result To unit Symbol

1 quadrant quad. = 1.57 radians rad

Step-by-step explanation:

Answer:

I'm pretty sure it's c and d

Answer:

hrheje

Step-by-step explanation:

bdhsjsiskskdkdhdhennsjss

Answer:

(-1, 6)

Step-by-step explanation:

Midpoint formula:

For G(-7, 3) and H(5, 9) the midpoint:

Answer:

(-1,6)

Step-by-step explanation

use the midpoint formula:

(x 1 + x2 /2 , y1 + y2/2)

(-7+ 5 /2, 3+ 9 /2)

after simplfying

(-1,6)

Answer:

Basically  , anything  negative number.

The absolute value can not be less than 0

Step-by-step explanation:

Example

[tex]\left|x+8\right|=-8\\\\\mathrm{Absolute\:value\:cannot\:be\:less\:than\:0}\\\mathrm{No\:Solution\:for}\:x\in \mathbb{R}\\[/tex]

Answer:

7, 14, 8, 16, 10, 20, 14, 28, 22...

7 times 2 is 14, 8 times 2 is 16, 10 times 2 is 20, and so on.

hope this helps

Answer:

m = -4

Step-by-step explanation:

m - 4 = 2m

Switch sides.

2m = m - 4

Subtract m from both sides.

m = -4

Answer:

-4

Step-by-step explanation:

cause mafs

Answer:

I can explain in 2 - 3 sentences why the interge,r -2, has a greater value than the integer, -5. In order to solve, 2 - 3, you SUBTRACT. The reason, -2, has a greater value than, -5, is because, -2, is a negative so, -2  is  bigger number than -5.

​

Step-by-step explanation:

The square of a number minus TWICE the number is 48

let the number be" X "

X^2-2X-48 = 0

(X - 8)(X + 6) = 0

x = 8 ᴏʀ X = -6

mark brainliest

Answer:

10

Step-by-step explanation:

478-2=476

476÷17= 10

therefore you put 10 fish in each tank.

Let me know if this helps:)

Answer:

10

Step-by-step explanation:

Step-by-step explanation:

X2+ax+b=(x-9)(x+9)

X2+ax+b=x2-9x+9x-81

X2+ax+b=x2-81

therefore,a=0,b=(-81)

Then , ab = 0×-81 = 0

Answer:

Step-by-step explanation:

x² + ax + b = (x – 9)(x + 9)

x² + ax + b = x² – 9x + 9x – 81

x² + ax + b = x² + 0x – 81

x²=x²      +ax = +0x        +b = -81

                    a = 0            b = -81

ab = 0(-81) = 0    

Answer:

4^-2

Step-by-step explanation:

Answer:

[tex] 2^{-2} [/tex]

Step-by-step explanation:

1/4 is between 0 and 1/2.

[tex] \dfrac{1}{4} = \dfrac{1}{2^2} = 2^{-2} [/tex]

Answer:

(x - 6)(x + 4)(x - 2)

Step-by-step explanation:

since x = 6 is a root then (x - 6) is a factor

x³ - 4x² - 20x + 48 ÷ (x - 6)

= (x - 6)(x² + 2x - 8)

= (x - 6)(x + 4)(x - 2) ← factors of f(x)

By using the Remainder Theorem, all the factors of the function are,

⇒ (x - 6) (x + 2) (x - 4)

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

One root of function f (x) = x³ -4x² -20x + 48 is,  x = 6.

Hence, (x - 6) is divide the function  f (x) = x³ -4x² -20x + 48 as;

(x - 6) ) x³ -4x² -20x + 48 ( x² + 2x - 8

           x³ - 6x²

         --------------

                 2x² - 20x

                 2x² - 12x

                 -----------------

                         - 8x + 48

                         - 8x + 48

                        ----------------

                                      0

Hence, We get;

f (x) = x³ -4x² -20x + 48

f (x) = (x - 6) (x² + 2x - 8)

⇒ f (x) = (x - 6) (x² - 4x + 2x - 8)

⇒ f (x) = (x - 6) (x(x - 4) + 2(x - 4))

⇒ f (x) = (x - 6) (x + 2) (x - 4)

Thus., By using the Remainder Theorem, all the factors of the function are,

⇒ (x - 6) (x + 2) (x - 4)

Learn more about the function visit:

https://brainly.com/question/11624077

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Answer:

first option

Step-by-step explanation:

To find the product, that is

(4x + 1)(x² - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

4x(x² - 5) + 1(x² - 5) ← distribute both parenthesis

= 4x³ - 20x + x² - 5

= 4x³ + x² - 20x - 5

Answer:

11 is the smallest whole number when divided by 4 gives a remainder of 3, when divided by 3 gives remainder of 2, when divided by 2 gives a remainder of 1

. Answer:1.when divide by 4 and gives a remainder of 3 = 12

2 .when divided by 3 gives a remainder of 2 = 6

3. when divided by 2 and gives a remainder of 1 = 2

Step-by-step explanation:

1. 12 ÷ 4 = 3

2. 6 ÷ 3 = 2

3.2 ÷ 2 = 1

Answer:

9 cm

Step-by-step explanation:

Answer:

y = (2-3d)/(7+c)

Step-by-step explanation:

-cy + 2 = 3d + 7y

To solve this equation in terms of y, we must first move all of the terms containing a y to one side of the equation and move all of the other terms to the other side.

Our first step is going to be to add cy to both sides of the equation.

- cy + cy + 2 = 3d + 7y + cy

2 = 3d + 7y + cy

Next, we can subtract 3d from both sides of the equation.

2 - 3d = 7y + cy

Next, we can factor out a y from the right side of the equation.

2 - 3d = y (7 + c)

Finally, we can divide both sides by the quantity (7+c) to get the y alone on the right side of the equation.

(2-3d)/(7+c) = y

Therefore, your answer is y = (2-3d)/(7+c).

Hope this helps!

Answer:The quotient of -100 and -5  is the same as the quotient of 100/5 because if you divide a negative number by a negative number, you will get a positive number and the same way if you divide a positive number by a positive number you will get a positive number.

Step-by-step explanation:

-100/-5 = 20

100/5 = 20

Answer:

See Explanation

Step-by-step explanation:

Given

Angle: JKL

Bisector: KN

Required

How to determine JKN if JKN is known

When a line bisects an angle into two, the angle are divided into two equal parts.

In this case, JKL is bisected by KN;

The resulting angles are JKN and NKL

So:

[tex]JKL = JKN + NKL[/tex] --------- (1)

From the explanation, we can understand that JKN and NKL hold the same value.

i.e. [tex]JKN = NKL[/tex]

So, (1) becomes

[tex]JKL = JKN + JKN[/tex]

[tex]JKL = 2JKN[/tex]

Divide by 2

[tex]JKN = \frac{JKL}{2}[/tex]

Take for instance; JKL =8

[tex]JKN = \frac{8}{2} = 4[/tex]

Answer:

6 days

Step-by-step explanation:

Let the time taken by Carpenter working alone = [tex]C[/tex] days

Then time taken by apprentice alone = Twice as that of taken by Carpenter = 2[tex]C[/tex] days

Time taken working together = 2 days

Work done in one day working together = [tex]\frac{1}{2}[/tex]

Work done in one day by Carpenter working alone = [tex]\frac{1}{C}[/tex]

Work done in one day by apprentice working alone = [tex]\frac{1}{2C}[/tex]

Work done in one day by Carpenter working alone + Work done in one day by Carpenter working alone =  [tex]\frac{1}{C}[/tex]+[tex]\frac{1}{2C}[/tex] = Work done in one day working together = [tex]\frac{1}{2}[/tex]

[tex]\dfrac{1}{C}+\dfrac{1}{2C}=\dfrac{1}{2}\\\Rightarrow \dfrac{2+1}{2C}=\dfrac{1}{2}\\\Rightarrow C = 3\ days[/tex]

Time taken by Carpenter alone to complete the work = 3 days

Time taken by Apprentice alone to complete the work = 3 [tex]\times[/tex] 2= 6 days

We are required to calculate the number of days it would take the apprentice working alone

The number of days it takes the apprentice working alone is 6 days

let

Number of days taken for the carpenter to work alone = x

Number of days taken by the apprentice to work alone = 2x

Number of days taken to work together = 2 days

Work done per day Carpenter = 1/x

work done per day apprentice = 1/2x

work done per day together = 1/2

So,

work done per day together = Work done per day Carpenter + work done per day apprentice

1/2 = 1/x + 1/2x

1/2 = (2 + 1) / 2x

1/2 = 3/2x

cross product

1(2x) = 2(3)

2x = 6

x = 6/2

x = 3 days

Therefore,

Number of days taken by the apprentice to work alone = 2x

= 2(3)

= 6 days

Read more:

https://brainly.com/question/11965590

Answer:

Midpoint of a Line Segment

Step-by-step explanation:

Add both "x" coordinates, divide by 2.

Add both "y" coordinates, divide by 2.