The width and the length of a rectangle are consecutive even integers. If the width is decreased by 3 inches, then the area of the resulting rectangle is 24 square inches. What is the area of the original rectangle

Answer:

4x + 4y - 8

Step-by-step explanation:

4(x - 2 +y) = 4*x -4*2 + 4*y by the distributive property

Answer:

It started on the 55th floor.

Step-by-step explanation:

We can work backwards from the 54th floor. Since we are working backwards, if the elevator goes up, we will subtract and if it goes down, we will add. Starting with 54, we get 54 + 5 = 59, then 59 - 9 = 50, then 50 + 2 = 52, then 52 - 6 = 48, then 48 + 14 = 62, then 62 - 7 = 55.

Answer:

  $900

Step-by-step explanation:

Kyle's commission on an extra $5000 in sales was ...

  $1575 -1350 = $225

So, his commission on $10000 in sales would be ...

  $225 × 2 = $450

Since $450 of Kyle's first month's sales was commission, his base salary was ...

  $1350 -450 = $900 . . . . Kyle's fixed monthly salary

Answer:

16-7+22-12+18-9

The correct answer is $28

Step-by-step explanation:

Thanks

The expression that uses adding the additive inverse to rewrite the expression is 16 + (–7) + 22 + (–12). Therefore, option C is the correct answer.

The given expression 16 – 7 + 22 – 12.

We need to rewrite the expression needed to find his total earnings.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The additive inverse of a particular number refers to the number that when the added will to the number will be equal to 0.

Now, based on the information given in the question, the additive inverse will be 16 + (–7) + 22 + (–12).

Therefore, option C is the correct answer.

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Your question is incomplete, probably the complete question/missing part is:

Juan ran the lemonade stand for 3 more days. Each day, he used the money from sales to purchasing more lemons, cups, and sugar to make more lemonade. On day 2, he earned $16 and spent $7 on supplies. On day 3, he earned $22 and spent $12. The expression 16 – 7 + 22 – 12 can be used to model the situation for these 2 days.

Identify the expression that uses adding the additive inverse to rewrite the expression.

–16 + (–7) + (–22) + (–12)

–16 + 7 + (–22) + 12

16 + (–7) + 22 + (–12)

16 + (–7) + 22 + 12

Answer:

money with Gopal rs. 60

money with laxmi Rs. 90

Total money with them = Rs. 150

Step-by-step explanation:

Let money with gopal be x

let money with laxmi be y

Given

Gopal gives Rs 10 from his money to Laxmi her money becomes double thanthat of the remaining money of Gopal

Money left with gopal after giving Rs 10 = x-10

money with Laxmi after getting rs 10 = y+10

according to given condition

money with laxmi = 2*money left with Gopal

y+10 = 2(x-10)

___________________________________________________

Laxmi gives Rs 10 to Gopal his moneyis still Rs 10 less than the remaining money of Laxmi.

Money left with Laxmi after giving Rs 10 = y-10

money with Gopal after getting rs 10 = x+10

according to given condition

money with laxmi -10 =money  with Gopal

y-10-10 =x+10

y-20 = x+10

=> y = x+10+20

y = x+30

substituting y = x+30 in    y+10 = 2(x-10)

x+30 +10 = 2(x-10)

x+40 = 2x-20

=>40+20 = 2x-x

=> x = 60

y = x+30 = 60+30 = 90

Thus,

money with Gopal rs. 60

money with laxmi Rs. 90

Total money with them = 60+90 = rs. 150

Answer:

14 square inches

Step-by-step explanation:

Since, three one inch cubes are stacked.

Therefore,

l = 1 in

w = 1 in

h = 3 in

Surface area of the composite figure

= 2(lw + wh + lh)

= 2( 1*1 + 1*3 + 1*3)

= 2 (1 + 3 + 3)

= 2 * 7

= 14 square inches

Answer:

- 27/64

Step-by-step explanation:

Third power = cubed = multiplying by itself three times

(-3/4)^3 = (-3/4) * (-3/4) * (-3/4) = 9/16 * (-3/4) = - 27/64

The graph is a representation of how the value of the variable y vary.

Given that y is equal to a constant, 8.4, the graph is an horizontal line.

Response:

The given equation is; -7 + 5·y = 35

The number of variables in the given equation is one (y), the

power of the variable is also one and the variable is y.

Therefore;

Solving the equation gives;

-7 + 5·y = 35

5·y = 35 + 7 = 42

[tex]y = \dfrac{42}{5} = \mathbf{8.4}[/tex]

The graph of the equation is the graph of the line, y = 8.4

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Answer:

Step-by-step explanation:

Perimeter of a rectangle = 2l + 2w

where

l is the length

w is the width

From the question

Perimeter = 24m

The statement

The length is 30 m less than five times the width is written as

l = 5w - 30

Substitute the expression into the above formula and solve for the width

That's

24 = 2( 5w - 30) + 2w

24 = 10w - 60 + 2w

84 = 12w

Divide both sides by 12

w = 7

Substitute this value into l = 5w - 30

That's

l = 5(7) - 30

l = 35 - 30

l = 5

Therefore the dimensions are

width = 7 m

length = 5 m

Hope this helps you

Answer:

1053.543 in

Step-by-step explanation:

I divided the length value by 2.54

Answer:

1053.5 in

Step-by-step explanation:

                      1 in

2676 cm  x ------------   =  1053.5 in

                    2.54 cm

Answer:

Graph A

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Since we are dealing with a slope of zero, we replace m with 0:

y = 0x + b

y = b

Here, we see that we would have a horizontal line. Therefore, graph A would be our answer.

Answer:

A

Step-by-step explanation:

A slope of zero is a horizontal line, because it does not change vertically

A would be the graph of a line with a slope of zero

Answer:

5

Step-by-step explanation:

2+3=5

Answer:

1

how did i get it:

-6 - (-5) = 1

Answer:

(4, -9)

Step-by-step explanation:

Find the distances between the x and y coordinates of point T and the midpoint:

2 - 0 = 2 (distance of x values)

-2 - 5 = -7 (distance of y values)

Add these two values to the coordinates of the midpoint:

2 + 2 = 4 (x value of point S)

-2 - 7 = -9 (y value of point S)

So, point S is at (4, -9)

Answer:

x=0.1

Step-by-step explanation:

-3.7-9.7x=7x-5.2

-3.7+5.2=7x+9.7x

1.5=16.7x

x=0.08982

x=0.1

Answer:

[tex]\boxed{Rs 1084.5}[/tex]

Step-by-step explanation:

One pack = Rs 120.5

→ Multiply both the brackets and price by 9

9 packets = Rs 1084.5

Answer:

Step-by-step explanation:

Cost of one pack of sweets = Rs 120.5

Cost of 9 packs of sweets = ?

Finding the cost of 9 packs of sweets

Since, the cost of 9 packs of sweets is more than that is 1 pack of sweet. So, the cost of 1 pack of sweet is multiplied by 9 ( i.e 120.5 × 9 )

⇒ Rs 1084.5

Hope I helped!

Best regards!!

Answer:

n = 9

Step-by-step explanation:

Step 1: Solve the equation

85 = -5 + 10n

90 = 10n

n = 9

Therefore n is equal to 9

Answer:

speed of Jim's train = 35 mi/h

speed of Sarah's train = 35 +20 mi/h = 55 mi/hour

Step-by-step explanation:

Let the speed of Jim's train be x mi/h

Given, Sarah and Jim leave a train station at the same time traveling 20mi/h faster that Jim’s train.

speed of Sarah's train = x + 20 mi/h

we know distance = speed * time

time = 3 hours

distance traveled by Sarah's train = 3*(x+20) = 3x+60 miles

distance traveled by Jim's train = 3*x =  3x miles

It is not given that if trains are moving in same or opposite direction.

__________________________________

if they are travelling in same direction

Then, then distance between them = total distance traveled by

faster train -  total distance traveled by

slower train = 3x +60 -3x = 60 miles

which is wrong as the two trains are 270 miles apart

hence, they are travelling in opposite direction

In this case

distance between them = total distance traveled by

faster train +  total distance traveled by

slower train = 3x +60 + 3x = 6x + 60 miles

given that the trains are 270 miles apart

6x + 60 miles = 270 miles

6x = 270 - 60 = 210

x = 210/6 = 35

Thus, speed of Jim's train = 35 mi/h

speed of Sarah's train = 35 +20 mi/h = 55 mi/hour

Answer:

[tex]\Huge \boxed{\mathrm{B. \ 6}}[/tex]

Step-by-step explanation:

We can apply the Intersecting Secant-Tangent Theorem.

TV is the secant.

VW is the tangent.

VW² = VT × VU

(x+6)² = (5+x+4) × (x+4)

Combine the terms in bracket.

(x+6)² = (x+9)(x+4)

Expand brackets on both sides of the equation.

x²+12x+36=x²+13x+36

Subtract x² from both sides.

12x+36=13x+36

Subtract 12x from both sides.

36=x+36

Subtract 36 from both sides.

0=x

WV = x+6

x=0

WV = 0+6 = 6

The measure of the tangent WV is 6.

Answer:

I think the sides of polygon are 6

Step-by-step explanation:

Because to form a polygon we need to the first to form a horizontal and vertical line,to find the number in that line,and join the line based on the numbers given, then you will get a polygon with 6 side

Answer:[tex]x^{2}[/tex]

Step-by-step explanation:

The highest degree is [tex]x^{2}[/tex]

quadratic equations are usually in this form: [tex]ax^{2}[/tex] +bx +c =0 (the signs may be positive or negative depending on the question given)

Answer:

2 ft/min

Step-by-step explanation:

Given that :

Kim was waling down a path for 4 minutes the elavation changed at the same rate altogether it dropped 8 feet what was the change in elavation each minute?

Time taken it wall down the path = 4 minutes

Rate of change of elevation is the same

Distance = 8 Feets

Therefore, change in elevation per minute :

Distance dropped / time taken to drop that distance

8 Feets / 4 minutes

2 Feets / minute

Change in elevation = 2 Feets per minute

========================================================

Explanation:

The domain is the set of allowed x values. In terms of a graph, we look at the left most point to see that x = -5 is the smallest x value possible. However, there's an open hole at this endpoint, so -5 itself is actually not part of the domain. So x must be larger than -5. At the same time, x can be as large as x = 3. Look at the very right tip of the graph to find this x value.

So x spans from -5 to 3, excluding -5 but including 3. We would write [tex]-5 < x \le 3[/tex] which converts to the interval notation (-5, 3]. Note the mix of curved parenthesis and square bracket. The curved parenthesis means to exclude the endpoint, while the square bracket means include the endpoint.

-----------

The range is the set of possible y outputs. Find out the lowest point of the graph. That is when y = -4 and this value is included due to the filled in circle at the endpoint. But we do not include the largest y value y = 5 as there's an open hole at this endpoint.

So the range is the set of y values such that [tex]-4 \le y < 5[/tex] which in interval notation would be written as [-4, 5)

-----------

So in short, you're looking for the min and max of x and y to get the domain and range respectively. Be sure to exclude any values where there are open holes as those do not count as part of the graph.

For a given function f(x), we define the domain as the set of the possible inputs for that function.

Here we will see that the domain is (-5, 3]

So, to find the domain by looking at a graph, we need to see the smallest x-value and the largest x-value.

In the graph, at the left, we can see that we have a white dot at x = -5

This means that the point itself does not belong to the domain, so here we need to use an open interval symbol, which is (

Then at the moment, we have:

domain = (-5

Now if we look at the right side, we can see that we have a black dot at x = 3.

This means that the value x = 3 belongs to the domain, so here we need to use the close symbol ].

Then the domain will be:

(-5, 3]

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Answer:

6:4:3.....................

The ratio between A, B, and C is 6:4:3.

To determine the ratio between A, B, and C based on the given information, we can set up the following equations:

2% of A = 3% of B

4% of C = 3% of B

Let's solve for the variables and find the ratio:

First equation: 2% of A = 3% of B

0.02A = 0.03B

A/B = 0.03/0.02

A/B = 1.5

Second equation: 4% of C = 3% of B

0.04C = 0.03B

C/B = 0.03/0.04

C/B = 0.75

Now, let's express the ratio A:B:C based on the ratios we found:

A:B = 1.5:1

B:C = 1:0.75

To obtain a common ratio, we can multiply both ratios by 4:

A:B = 6:4

B:C = 4:3

Combining these ratios, we have:

A:B:C = 6:4:3

Therefore, the ratio between A, B, and C is 6:4:3.

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Answer:

25

Step-by-step explanation:

For each problem, the two numbers on the left are perfect squares. The number in the upper right is the square of the difference between the two numbers on the left. The number on the bottom right is equal to the number on the upper right plus the number on the upper left.

For problem 16, we know that the square of the difference between 36 and the missing number is 121. The square root of 121 is 11, so the missing number is 36 - 11 = 25 which fits the pattern because it is also a perfect square.

(Also if you look at problem 15, it basically gives you the answer to problem 16.)

Answer:

See below

Step-by-step explanation:

The upper left box and the bottom left box are being subtracted. When the result is obtained we square it and the squared answer is written in the top right box. After that , the squared answer and the top left answer are added to get the bottom left answer.

See the attached file.

Answer:

A graph has time ont the x-axis and height on the y-axis

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

ok first multiply 6 and 4 it becomes 24 then we divide 24 with 8.

Answer: Y=60x

Step-by-step explanation:

find the slope (Y2-Y1)/(X2-X1)

                       (240-150)/4-2.5)

                        90/1.5 =60

It's multiple choice so it can only be a or b. If you do 60 x 2.5 you get 150 so there's no way you will add 480 so you are done it's A. If it's not a multiple choice question then you would do the who y=mx+b and plug in x, y and m and then find the b which in this case would be 0.

Answer:

(2.5,150)(4,240)

slope = (240 - 150) / (4 - 2.5) = 90 / 1.5 = 60

y = mx + b

slope(m) = 60

(4,240)...x = 4 and y = 240

now we sub and find b, the y int

240 = 60(4) + b

240 = 240 + b

240 - 240 = b

0 = b

so ur equation is : y = 60x + 0 which is written as : y = 60x <==

Answer:

x=8

Step-by-step explanation:

-2x+2-7x=-70

Minus two from each side.

-2x-7x=-72

Combine like terms.

-9x=-72

Divide -9 from each side.

x=8