The surface area of a rectangular prism with length l, width w, and height h is given by the expression 2lw+2lh+2wh. Write an equivalent expression using the Distributive Property.

Answer:

the bisector is PR

MN= 7 2/3

Step-by-step explanation:

bisector cuts something in half and the lines on the line prove its in 2 equal parts so the line intersecting it is PR

since MN is bisected by PR and on side of MN in 3 5/6 just multiply 3 5/6 by 2 to get the answer

Answer:

s=70

t=30

r=32

:D!!

10×7=70

6×5=30

Answer:

c

Step-by-step explanation:

Answer: 4.8 i think

Step-by-step explanation: its just division

Answer:

13 CDs can be cut from 1 m x 50 cm sheet

Step-by-step explanation:

a) The circunference of the CD is represented by the following formula:

[tex]x^{2}+y^{2} = 36\,cm^{2}[/tex] (1)

Where:

[tex]x[/tex] - Horizontal position, measured in centimeters.

[tex]y[/tex] - Vertical position, measured in centimeters.

Now, we proceed to present a representation of the CD.

b) The area of a CD is represented by the following formula:

[tex]A_{CD} = \pi\cdot r^{2}[/tex] (2)

Where:

[tex]A_{CD}[/tex] - Area of the CD, measured in square centimeters.

[tex]r[/tex] - Radius, measured in centimeters.

If we know that [tex]r = 6\,cm[/tex], then the area of a CD is:

[tex]A_{CD} = \pi\cdot (6\,cm)^{2}[/tex]

[tex]A_{CD} = 113.097\,cm^{2}[/tex]

The area of the sheet is represented by this expression:

[tex]A_{s} = w\cdot l[/tex] (3)

Where:

[tex]A_{s}[/tex] - Area of the sheet, measured in square centimeters.

[tex]w[/tex] - Width of the sheet, measured in centimeters.

[tex]l[/tex] - Length of the sheet, measured in centimeters.

If we know that [tex]w = 50\,cm[/tex] and [tex]l = 100\,cm[/tex], the area of the sheet is:

[tex]A_{s} = (100\,cm)\cdot (50\,cm)[/tex]

[tex]A_{s} = 1500\,cm^{2}[/tex]

Now we divide the area of the sheet by the area of the CD:

[tex]n = \frac{A_{s}}{A_{CD}}[/tex] (4)

[tex]n = \frac{1500\,cm^{2}}{113.097\,cm^{2}}[/tex]

[tex]n = 13.263[/tex]

The maximum number of CD is the integer that is closer to this result. Therefore, 13 CDs can be cut from 1 m x 50 cm sheet.

Answer:

x=8+4sqrt3=4*(2+sqrt3)

Step-by-step explanation:

bz theorem the height of a right triangle is 1/4 of its hypotеnus and we get the hypo by using the pythagorean theorem so the hypo is equal to sqrt(x^2+16). the small triangle formed by the height with side x is similar to the initial triangle so we get the following proportion:x/sqrt(x^2+16)=sqrt(x^2+16)/4/4. by siplifying it we get the quadric equation x^2-16x+16=0 and its roots are +/-8+4sqrt3, but x is a side so it is bigger than zero so it is the positive value

Answer:

model over actual

Step-by-step explanation:

this way your comparing the model size compared to the true size of the object

Answer:

147 ants

Step-by-step explanation:

7 times 3=21 21 times 7= 147

Answer:

15 309

Step-by-step explanation:

7*3^7=15309 because every week they triple

Answer:

-7/32

Step-by-step explanation:

Multiply,Simplify

Answer:

-1 1/3

Step-by-step explanation:

cross multiply

-3×12=-36

-8×7=-56

simplify

-4/-3

simplify

-1 1/3

Answer: x=+2

Step-by-step explanation:2x-6=12x-26

We move all terms to the left:

2x-6-(12x-26)=0

We get rid of parentheses

2x-12x+26-6=0

We add all the numbers together, and all the variables

-10x+20=0

We move all terms containing x to the left, all other terms to the right

-10x=-20

x=-20/-10

x=+2

Answer:

[tex]r=0.75 = 75[/tex]%

Step-by-step explanation:

Equation of General exponential growth function is

[tex]f(x)=a(1+r)^{x}[/tex] ------------ (1)

Where a is initial value x is time and r is growth rate

Given function can be written in following form

[tex]f(x)=2500(1+0.75)^{x}[/tex] ------------ (2)

After comparing (1) and (2) we can conclude that

[tex]r=0.75 = 75[/tex]%

Answer:

Step-by-step explanation:

Here you go mate

Step 1

3x(1.05)   Equation/Question

Step 2

3x(1.05)   Simplify

3x(1.05)

Step 3

3x(1.05)   Multiply them

Answer

3.15x

Hope this helps

Answer:

False.........

Step-by-step explanation:

Answer:

that's true

Step-by-step explanation:

i hope it helped u

Answer:

III. 8

Step-by-step explanation:

Substituting x with 8 we will have -8 + 2(8), which will be equal to 8, for -8 + 16 is 8. Hence, 8 > -7.

Answer:

she spent 35 minutes on her homework

Step-by-step explanation:

Answer:

35 minutes.

Step-by-step explanation:

Because at 9:20, it's been 10 minutes. Then at 9:30, it's been 20 minutes, then at 9:45 it has been 15 minutes which all that added up is 35.

Brainliest??? Please amigo?

Answer:

4 1/6 miles of walking and eating per hour

Step-by-step explanation:

The unit rate here is

 50 miles

----------------- = 4 1/6 miles of walking and eating per hour

    12 hrs

Answer:

208

Step-by-step explanation:

The cucumber were sold at $224.

A single unit's value may be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary technique. We typically utilise this technique for math computations.

This approach allows us to calculate both the value of many units from the value of one unit and the value of many units from the value of one unit.

Given:

area of garden = 56 square feet.

1 cucumber = 72 square inches = 0.5 square feet

Number of cucumbers

= 56 / 0.5

= 112 cucumbers

Price for each cucumber = $2

So, price for 112 cucumber = 112 x 2

                                            = $224

Hence, the cucumber were sold at $224.

Learn more about unitary method here:

https://brainly.com/question/22056199

#SPJ2

Answer:

12

Step-by-step explanation:

Complete Question

In ΔVWX, w = 780 cm, ∠X =21° and ∠W=146°. Find the length of x, to the nearest 10th of a centimeter.

Answer:

499.9cm

Step-by-step explanation:

We solve for length x using the Sine rule

w/ sin W = x /sin X

Cross Multiply

x × sin W = w × sin X

x = w × sin X/ sin W

x = 780 × sin 21°/ sin 146°

x = 499.88 cm

Approximately to nearest tenth = 499.9cm

Answer:

313.8

Step-by-step explanation:

delta math said so

y =7 as it is parallel to the x axis

Answer:

The entire area of the sailboat is 60cm²

Step-by-step explanation:

You can find the area of this shape by breaking it down into simpler shapes and adding up their individual areas.

In this case, the areas we'll use are the rectangle at the bottom, and the pair of triangles at the top.

Because the two triangles can be put together to form a single triangle, we don't need to measure them independently.  We can simply take the total length of their bases, multiply it by their height, and divide by two.  This follows the rule that the area of a triangle is equal to the area of the square that contains it divided by two.

(2cm + 3cm) × 6cm

= 5cm × 6cm

= 30cm²

The rectangle's area is of course equal to its width times its height, so we can say:

2.5cm × 12cm

= 30cm²

The total area of the shapes then is 30cm² + 30 cm², giving us a total area of 60cm²

55 degrees. If you add the other three angles together you get 305. Considering that a circle is 360 degrees, you would subtract those two and get 55.

Answer:

Charles need [tex]3\frac{1}{5}[/tex] more ounces of seeds.

Step-by-step explanation:

Given that:

Quantity of seeds Charles has = [tex]2\frac{2}{3}[/tex] = [tex]\frac{8}{3}[/tex] ounces

Quantity of seeds Charles need = [tex]4\frac{4}{5} = \frac{24}{5}[/tex] ounces

Let,

x be the number of remaining seeds Charles need.

x = Seeds needed - Seeds Charles already have

x = [tex]\frac{24}{5}-\frac{8}{3}[/tex]

x = [tex]\frac{72-24}{15}[/tex]

x = [tex]\frac{48}{15}[/tex]

x = [tex]\frac{16}{5}[/tex]

x = [tex]3\frac{1}{5}[/tex] ounces

Hence,

Charles need [tex]3\frac{1}{5}[/tex] more ounces of seeds.

just wondering are you still stuck

Answer:

If 12 eggs cost $2.04, then figure out how much 1 egg costs. You do that by dividing the total (2.04) by the amount (12) = 0.17. Take that number and multiply by how many eggs (18) and you'll get the total. ($3.06)

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

Answer: 8 batches

Step-by-step explanation:

To get the number of batches she made, we can just use proportion to solve it. But first, we need to convert 5 1/3 to improper fraction

5 1/3 = 16/3

Then we can now use the proportion to solve

2/3 cups = 1 batch

16/3 cups = x (note:5 1/3=16/3)

cross multiply

2/3 × x = 16 /3

2x/ 3 = 16/3

we need to make x the subject of the formula, to do that we will multiply each side of the equation by 3/2

2/3 × 3/2 x = 16/3 × 3/2

6x /6 = 48 / 6

x = 8

Therefore she made 8 batches of cookies.

exactly one solution

The slopes of the equations are different so the lines will intersect at one point.

The answers are as follows;

The slope-intercept form of a linear equation usually take the form;

On this note, since both equations have different slopes, we can conclude that; the system of equations will have one solution, this is due to the fact that they intersect at one point as opposed to parallel lines with equal slopes.

Read more on equation solution;

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