please answer and use statement reason

Answer:

Step-by-step explanation:

Let the width of the rectangle = x

As length is 5 inches longer than width, we have to add 5 to width

Length = x + 5

Perimeter of ractangle = 56 in

2* (length + width) = 56

2*( x + 5 + x) = 56

2* (2x + 5)    = 56

Use distributive property: a*(b +c) =(a*b) + (a * c)

2*2x + 2*5   = 56

4x  + 10 = 56

Subtract 10 from both sides

4x = 56- 10

4x = 46

Divide both sides by 4

x = 46/4

x = 11.5

Width = 11.5 in

length = 11.5 + 5

            = 16.5 in

Answer:

The bother's weight is 46.5 lb.

Step-by-step explanation:

Let the brother's weight be b.

Antonio's weight is 2b + 4.

Antonio's weight is 97 lb.

2b + 4 = 97

2b = 93

b = 46.5 lb

Answer: The bother's weight is 46.5 lb.

Answer:

See below ↓

Step-by-step explanation:

a. 4 ÷ (2/3) = 12/3 ÷ 2/3 = 12 ÷ 2 = 6

b. 4 ÷ 1 = 4

Attachment below.

Answer:

1: 6
2:4

Step-by-step explanation:

Answer:

y=-2x + 5

Step-by-step explanation:

y=mx+b

m=slope

b= y intercept

since on the y line the line intercepts on 5 you replace 5 with the b.

As for the m(slope) when the line is decreasing (going down) its automatically a negative number. and since (0,5)　(1,3) 5-3=2 -2 would be ur slope.

Answer:

z = 104°

Step-by-step explanation:

        A straight line is 180° which helps us to solve this problem.

                       180° - 76° = 104°

        This means that angle y will be 76° and x will be 104° because of vertical angles.

Step-by-step explanation:

AC= 8x-14

AC+14=8x

x=(AC+14)÷8

EC=2x+11

EC-11=2x

x=(EC-11)÷2

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

Answer:

Step-by-step explanation:

*View attached graph*

Hope this helps!

Answer:

Hope the picture will help you.Make sure to mark me brilliant

Answer:

11/2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

This is because each dot represents one plot, and the only number with one plot above it is 1 and 1/2, aka D

Answer:

567 ghbvc. the high but

Step-by-step explanation:

solve accordingly to the picture

hope it helps

Answer:

6 students

Step-by-step explanation:

Let x = number of students

Let y = total number of pens

Given:

⇒ 5x = y

Given:

⇒ 3x = y - 12

Substitute  5x = y  into  3x = y - 12  and solve for x:

⇒ 3x = 5x - 12

⇒ 12 = 5x - 3x

⇒ 2x = 12

⇒ x = 6

Therefore, there are 6 students.

Step-by-step explanation:

Since the focus lies on the x axis, and the diretcrtirx is a vertical line, we have a sideways parabola so we have the equation

[tex](y - k) {}^{2} = 4p(x - h)[/tex]

where h,k is the vertex and

p is the distance from the vertex to the focus or the distance fromcthe vertex to the directrix.

Since the focus is 1.5, and the directrix is -1.5 the vertex is (0,0) so we have

[tex]y {}^{2} = 4px[/tex]

We know p is 1.5 so we have

[tex] {y}^{2} = 6x[/tex]

[tex] \frac{1}{6 } {y}^{2} = x[/tex]

By taking the integral of the difference between the two given lines, we will see that R = 0.75.

Notice that the area will be given by the integral of the difference between the line L and our function on the interval [0, 1]

Then we just need to compute:

[tex]R = \int\limits^1_0 {-3x + 10 - (8 - x^3)} \, dx[/tex]

Solving that we will get:

[tex]R = \int\limits^1_0 {-3x + 10 - (8 - x^3)} \, dx = \int\limits^1_0 ({-3x + 10 - 8 + x^3} )dx\\\\\R = \int\limits^1_0 ({-3x + 2 + x^3} )dx\\\\\\[/tex]

[tex]R = \int\limits^1_0 ({-3x + 2 + x^3} )dx\\\\R = \frac{-3}{2}*(1)^2 + 2*1 + \frac{1^4}{4} = 0.75[/tex]

So the area of region R is 0.75 square units.

If you want to learn more about integrals, you can read:

https://brainly.com/question/14502499

Answer:

48

Step-by-step explanation:

one pound equals 16 ounces so multiply each side by three and you get that 3 lb equals 48 ounces

Answer:

48 oz

Step-by-step explanation:

We know 1 lb = 16 oz. That means that to find how many oz are in 3 lbs, you have to multiply 16 by 3. That equals 48.

Answer:

x=4.8

I think ur supposed to solve for x. Since the rectangles are similar, we can set a proportion for the sides

5/3 = 8/x (then just solve for x)

24=5x

4.8=x

The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)

Volume is the amount of space occupied by a three dimensional shape or object.

Let w represent the width of the base and h represent the height. Hence:

w²h = 2

h = 2/w²

The surface area = 2w² + 4(hw) = 2w² + 4(2/w² * w) = 2w² + 8/w

The total cost = 2w² * $10 + (8/w) * $20 = $(20w² + 160/w)

The total surface area is 2w² + 8/w, while the total cost is $(20w² + 160/w)

Find out more on volume at: https://brainly.com/question/12410983

Answer:

5'3

Step-by-step explanation:

trust me I know what im talking about

Answer:

f(x)= (x-3)^2-3

Step-by-step explanation:

Vertex Form: y= a(x-h)^2+k

a is the reflection

h and k are the vertex so in an ordered pair (x,y) = (h,k)

Since it is translating 3 units down it is going to be a negative 3.  If it was translating up it would be positive 3.  This represents the "k" because it is moving on the y-axis.

Since it is translating 3 units to the right it is going to be positive 3.  If it was translating left it would be negative 3. This represents the "h" because it is moving on the x-axis.

After plugging it into the vertex form formula: f(x)= (x-3)^2-3

*notice when I plugged the "h" in it became negative because x-(3)= x-3*

Answer:

Step-by-step explanation:

YES IS THE ANSWER BECAUSE X=9

AND 11+3=87

Answer:

$21.56

Step-by-step explanation:

Cost and discount of 5 bottles

Answer:

$21.56

Step-by-step explanation:

Original cost of one bottle of detergent = $3.85

Cost of one bottle after 40% mark up = 1.4 × $3.85 = $5.39

Cost of 5 bottles = 5 × $5.39 = $26.95

Cost of 5 bottles after applying 20% discount = 0.8 × $26.95 = $21.56

Therefore, the total cost of 5 bottles of detergent is $21.56

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Information about percetange increase/decrease

If you increase the price of something by 40% then it will be 140% of the original price (the original price is 100% and 100% + 40% = 140%).

Convert to decimal form:  140% = 140/100 = 1.4

Therefore, to calculate an increase of 40%, multiply the original price by 1.4

If you decrease the price of something by 20% then it will be 80% of the previous price (the original price is 100% and 100% - 20% = 80%).

Convert to decimal form:  80% = 80/100 = 0.8

Therefore, to calculate a decrease of 20%, multiply the previous price by 0.8

Using a system of equations, it is found that the correct option is:

A) 1389x+1660y=787x+1121y.

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, considering the amounts in each olympics(1389 men and 787 women participated on the 19th, 1660 men and 1121 women in the 22th), the system is:

A) 1389x+1660y=787x+1121y.

More can be learned about a system of equations at https://brainly.com/question/24342899

Answer:

B)1, 2, 3, 6, 9, 18

Step-by-step explanation:

1×18

2×9

3×6

HOPE IT HELPS YOU

Answer:

parallelogram

Step-by-step explanation:

opposite sides are congruent so this meets the minimum requirement to be a parallelogram.

Answer:

-5(x+2)

Step-by-step explanation:

Answer:

529/55 and 57/2

Step-by-step explanation:

Answer:

180 cm2 is the answer you can multiply all sides

Answer:

Step-by-step explanation:

length = l = 9 cm

Width = w= 3 cm

height = h  = 4 cm

Lateral surface area = 2 *( lh+ lw)

                                 = 2*( 9*4 + 9*3)

                                 = 2 * (36 + 27)

                                 = 2 * 63

                                  = 126 square cm

Answer:

I-9I

Step-by-step explanation:

Absolute value (the straight brackets) is how far away the number is from zero, this makes -9 into positive 9

Answer:

C. |-9|

Step-by-step explanation:

|-9| = 9

9 > 7 > |5| (5) > -12

well, from birth to your twentieth birthday that'll just be 20 years, so

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$7000\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{quarterly, thus four} \end{array}\dotfill &4\\ t=years\dotfill &20 \end{cases} \\\\\\ A=7000\left(1+\frac{0.08}{4}\right)^{4\cdot 20}\implies A=7000(1.02)^{80}\implies A\approx 34128.07[/tex]