find the area of the rectangular prism ​

Answer:

5/8

Step-by-step explanation:

2/16=1/8

4/8+1/8=5/8

Answer:

10/16 or 5/8 of the cake

Step-by-step explanation:

Hopes this helps :)

Answer:

Step-by-step explanation:

As given system of linear equations,

Hence taking 1st equation ,

-3x+3y=12    

-3(x-y)=12   ( common -3 )

now take 2nd equation ,

y=x+4

Now add these two equations, we get

x-y+ y- x=-4+4

0x+0y=0

Answer:

4 thermoses of hot chocolate

The number of thermoses that Nelli makes with 3 cups of cocoa powder will be 2.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

One thermos of hot chocolate uses 2/3 cup of cocoa powder.

Then the number of thermoses that Nelli makes with 3 cups of cocoa powder will be given by the multiplication of 2/3 and 3.

⇒ (2/3) x 3

⇒ 2

The number of thermoses that Nelli makes with 3 cups of cocoa powder will be 2.

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Answer:

(2,-8)

Step-by-step explanation:

use the formula : x= -b/2a

Hope i helped :)

Answer:

220

Step-by-step explanation:

216+4

The next day+ the first day=220

Answer:

300 ft long

Step-by-step explanation:

divide 1200 by 4 sense the beginners trail is one-fourth the length of the expert trail

The length of beginner trail is 300 meter long.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The tape diagram models the lengths of two snowboarding trails.

And, The expert trail is 1200 meters long.

Now, The length of beginner trail is,

⇒ 1200 / 4 meter

⇒ 300 meter

Thus, We get;

⇒ The beginner trail is 300 meter long.

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Answer: number 14 is 30.78 x 10 to the exponent of 11

Step-by-step explanation:

you multiply 8.1 and 3.8 together which would equal 30.78 and you add the exponents together since they are being multiplied.

There are 253 girls in a school.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

A school has 575 pupils.

And, There are 56% of the pupils are boys.

Here, 56% of the pupils are boys.

Hence, Percent of the girls = 100% - 56%

                                          = 44%

Since, A school has 575 pupils.

Hence, Number of girls = 44% of 575

                                     = 44/100 × 575

                                     = 253

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Answer:

Henry has a best record for the number of shots made.

Step-by-step explanation:

It is provided that Henry made 0.45 or 45% of his shots.

And Trevor missed 58% of his shots, i.e. Trevor made 42% of his shots.

There is no information about Allison's and Arthur's probability of making the shot.

So, only based upon Henry and Trevor, it can be seen clearly that Henry has a best record for the number of shots made.

Step-by-step explanation:

Answer:

$30

Step-by-step explanation:

6 people and each one buys a $5 pumpkin so we'll multiply

6x5=30 dollars

Answer:

if each person is buying one than 30 together but if there's no amount than who knows

Step-by-step explanation:

5×6=30

Answer:

The correct answer is A.

Step-by-step explanation:

1/5*-10/1=-10/5= -2

2/3*3/1=6/3=      2

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

                          0.

Answer:

a –10 times the first equation and 3 times the second equation

Step-by-step explanation:

Answer:

the answer is A. 36

Step-by-step explanation:

because the rectangles are proportionate, I set up ratios.

90:75 so h:30

from there I did 70/30 because those sides are proportionate to each other and this got me 2.5. then I did 90/2.5 to get 36

Answer:

jjjjjjjjjjjjjjjjjjjjjjhhh,jh,jh,jh,jhjh,

Step-by-step explanation:

jh,jh,jh,j,j,j,jh,jh,jh,jh,jh,jh,

Answer:

16 ft²

Step-by-step explanation:

Since we're told that 2 ft diameter was cut of the board. We use the formula for hollow circle to find the area.

Area of remaining body = area of full body - area of removed body.

Area = πd²/4

Area of remaining body = (π * 5²)/4 - (π * 2²)/4

Area of remaining body = 19.64 - 3.142

Area of remaining body = 16.49 ft²

Therefore, the remaining area is then calculated into 16 ft²

Answer:

Take the square root of both sides

Step-by-step explanation:

I'm going to assume your questions looks like this

[tex]x^{2} =\frac{9}{16}[/tex]

To solve this you just take the sqareroot of both sides which should get you

-3/4, 3/4=x

Answer:

700

Step-by-step explanation:

when rounding a number use the place to the right of it so 739 and if its 1-4 then keep the number the same, if 5-9 round up, since its 3 keep it the same and when rounding always get rid of the numbers after number rounded

Answer:

$7.60

Step-by-step explanation:

24% of $10 is $2.40

$10-$2.40=$7.60

Answer:

The answer is $7.60.

Step-by-step explanation:

The original price is 10 dollars. 24 percent of 10 dollars is $2.40. So, subtract that from 10 dollars to get the answer.

$10.00 - $2.40 = $7.60.

Hope this helps! Have a good day. :)

Answer:

14

Step-by-step explanation:

Knowing the first triangle is isosceles, and given the degree is 69.

We can find the top left angle as 180-69-69=42

42 combine with another angle to make a right angle

90-42=48.

The second triangle is also isosceles, so to find 2

we can use 180-42=138 (supplementary angles rule)

and given 10x-8=138

10x=140

x=14

Answer:

The required expression is:

Please check the attached graph too.

Step-by-step explanation:

The slope-intercept form of the linear or line function

[tex]y = mx+b[/tex]

where

In our case,

The cost of hiring a taxi consists of a fixed cost of $3. It means the fixed cost of $3 is the initial condition.

Thus, the y-intercept b = 3

It is stated that the cost of per kilometer distance = $0.5

Thus, the rate of change or slope m = 0.5

As y represents the cost and x represents the number of kilometers.

so substituting m = 0.5 and b = 3 in the slope-intercept form of the linear or line function

y = mx+b

y = 0.5x + 3

Thus, the required expression is:

Please check the attached graph too.

Answer:

U=-4.66666 sorry if this is wrong I tried though

Step-by-step explanation:

-10 + -3u = -4

-3u=-14

U=-4.66666

Answer:

(u o w) (7) =  22

(w o u) 7) = 8

Step-by-step explanation:

We are given:

[tex]u(x)= x^2+6\\w(x)= \sqrt{x+9}[/tex]

We need to find:

a) (u o w) (7)

First we will find (u o w) (x) and then we will find (u o w) (7)

We know that (u o w) (x) = u(w(x))

Put value of w(x) into u(x)

we have:

[tex]u(x)=x^2+6\\Put\: x =\sqrt{x+9}\\u(w(x))=(\sqrt{x+9})^2+6\\u(w(x))=x+9+6\\ u(w(x))=x+15[/tex]

Now finding (u o w) (7)

We know that: (u o w) (7) = u(w(7))

[tex]u(w(x))=x+15\\Put\:x=7\\u(w(7))=7+15\\u(w(7))=22[/tex]

So, (u o w) (7) = 22

b) (w o u) (7)

First we will find (w o u) (x) and then we will find (w o u) (7)

We know that (w o u) (x) = w(u(x))

Put value of u(x) into w(x)

we have:

[tex]w(x)= \sqrt{x+9}\\Put\:x=x^2+6\\w(u(x))= \sqrt{(x^2+6)+9}\\w(u(x))= \sqrt{x^2+6+9}\\w(u(x))= \sqrt{x^2+15}[/tex]

Now finding (w o u) (7)

We know that (w o u) (7) = w(u(7))

[tex]w(u(x))= \sqrt{x^2+15}\\Put\:x=7\\w(u(7))= \sqrt{(7)^2+15}\\w(u(7))= \sqrt{49+15}\\w(u(7))= \sqrt{64}\\w(u(7))= 8[/tex]

So, (w o u) (7) = 8

Answer: rhombus, rectangle, and square — are so-called because they’re special cases of the parallelogram.

Step-by-step explanation:

Answer: rhombus, rectangle, and square — are so-called because they’re special cases of the parallelogram.

Step-by-step explanation:

Linear is a straight line. You might have heard of Linear Function.

[tex]y = mx + b[/tex]

The equation above is slope-intercept form.

Exponential is both increasing graph and decreasing graph depending on the coefficient.

Exponential Equation

[tex]y = {a}^{x} \: \: \: (a > 0) \: \: (a \neq1)[/tex]

Exponential Graph increases when a-term is greater or equal to 1.

Exponential Graph decreases when a-term is greater than 0 but less than 1.

From the equation, it is exponential of x-term as an exponent. The equation matches with exponential form.

Answer:

8 , 5 , 5.785

Step-by-step explanation:

y^2 - x^3

first just plug in the numbers and you get

(4)^2 - (2)^3

Multiply

16-8 and this equals 8

x1 + x^3 - y^2

same pattern plug in the numbers

(3)^(1) + (3)^3 - (5)^2

multiply

3 + 27 - 25

P

E

M

D

Addition

Subtraction so do 3+27 first and you get

30 - 25 = 5

x^4 / x^3 plug it in

(6)^4 / (6)^3

multiply

1269  / 216  

divide this and you get

5.875

Answer:

The inverse of a given function

d) [tex]g(x) = \frac{1}{4} x - 3[/tex]

Step-by-step explanation:

Explanation:-

Given that f(x) = 4x + 12

  let y = 4 x + 12

     4 x = y - 12

        [tex]x = \frac{y-12}{4}[/tex]

        [tex]x = \frac{1}{4} y - 3[/tex]      

we know that   y = f(x)

                   ⇒  x = f⁻¹(y)

      [tex](f^{-1} y) = \frac{1}{4} y - 3[/tex]

Put  replace 'y' in 'x'

    [tex](f^{-1} x) = \frac{1}{4} x - 3[/tex]

Final answer:-

The inverse of a given function

[tex]g(x) = \frac{1}{4} x - 3[/tex]

Answer:

D

Step-by-step explanation:

Right on edge

Answer:

The answer is below

Step-by-step explanation:

Prove ∠RQS = ∠RTS

Two triangles are said to be congruent if all the three sides and three angles of one triangle is equal to the three sides and three angles of another triangle.

Statement                            Reason

QS ≅ TS                               Given

RS ≅ RS                               Reflexive property of congruence.      

R is the midpoint of QT       Given

QR = RT                                R is the midpoint of QT. Therefore by

                                             definition, QR = RT.

ΔRQS = ΔRTS                       Side-side-side triangle congruence theorem. If

                                             three sides of one triangle is equal to three

                                             sides of another triangle, then both triangles

                                             are congruent to each other.

∠RQS = ∠RTS                        Corresponding angles of congruent triangles

                                              are equal.

Answer:

(6, -1)

Step-by-step explanation:

The coordinates of the midpoint of a line is [(x₁ + x₂)/2, (y₁ + y₂)/2]. For the given line, JK where J = (-9, 5) = (x₁, y₁) and K = (21,-7) = (x₂, y₂).

So [(x₁ + x₂)/2, (y₁ + y₂)/2]

= [(-9 + 21)/2, (5 + (-7))/2]

= [12/2, (5 - 7)/2]

= [12/2, -2/2]

= (6, -1)

Answer:

54.

Step-by-step explanation:

Cause plato.

Answer:

The slope is 55.

Step-by-step explanation:

Slope determines the direction and the rate of increase or decrease between the two points on a surface or line.

In the question, it is given initially she is 20 miles north of her house

⇒ When x = 0 the y-coordinate is 20

So, the y-intercept is 20

Now, it is given that the rate of change is 55 miles per hour

Hence, the slope is same as 55 because it is the actual rate of change between the positions of Jennifer with time.