The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.

Answer:

Step-by-step explanation:

Area of the base = l x w

= 20 x 18 = 360 cm^2

Area of the triangle = hb/2

(31 x 20)/2 = 620/2 = 310 cm^2

Area of the arrow = 360 + 310

= 670 cm^2

Answer:

610 squared centimeters

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Suppose that the kids get $x_1,x_2,x_3,x_4,x_4$ pieces of candy, respectively (each twin received $x_4$ pieces). Then we seek all quadruples $(x_1,x_2,x_3,x_4)$ satisfying

\[x_1+x_2+x_3+2x_4 = 6.\]We proceed by casework, based on the number of candies the twins receive.

If $x_4 = 0$, then there are 6 candies to distribute to 3 kids. This is like arranging 6 C's and 2 |'s (dividers), so there are $\binom{8}{2} = 28$ possible distributions.

If $x_4 = 1$, there are 4 candies remaining for the other 3 kids, so there are $\binom{6}{2} = 15$ possible distributions.

If $x_4 = 2$, there are 2 candies remaining, so there are $\binom{4}{2} = 6$ possible distributions.

If $x_4 = 3$, there are 0 candies remaining, for 1 possible distribution.

Adding all of these results from the separate cases, there are a total of

\[28 + 15 + 6 + 1 = \boxed{50}\].

Answer:

6.9

Step-by-step explanation:

The hypotenuse is √2 times as long as either leg of a 45-45-90 triangle

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of ∠ACB = measure of ∠BAC = 45°

And , the measure of ∠ABC = 90°

So , the triangle is a 45-45-90 triangle

Now , the measure of the sides be AB = BC = 1 unit

And , From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

The measure of side AC ( hypotenuse ) = √ ( AB )² + ( BC )²

The measure of side AC ( hypotenuse ) = √ ( 1 + 1 )

The measure of side AC ( hypotenuse ) = √2 units

Hence , the measure of the hypotenuse of 45-45-90 triangle is √2 units

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Answer:

A -> E

B -> D

C -> F

Step-by-step explanation:

In all cases, we represent minutes that Christopher has read with variable x

Christopher has read for more than 32 minutes  corresponds with the inequality: x > 32 ."More than" is equivalent to "greater than", which is symbolized by ">".

Christopher has read for less than 32 minutes, corresponds with the inequality: x < 32 . "Less than" symbolized by "<".

Christopher has read for 32 minutes corresponds with the equality: X = 32. Here the amount of time is fixed, so it agrees with an equality instead of an inequality.

Answer: ABDE

Step-by-step explanation:

Answer:

75/15.5 = 4.83870967742 =4.84 meters per second.

This is a faster time than 5 meters per second.

Step-by-step explanation:

Answer:

1/758

Step-by-step explanation:

Part/whole

Answer:

1/758

Step-by-step explanation:

hope that helps

Answer:

The height is 4cm

Step-by-step explanation:

Multiply 9 x 5 which is 45

Then divide 180 from 45

You get 4

To check your work, multiply 9 x 5 x 4 and you get 180! hopes this helps

Answer:

False

Step-by-step explanation:

A perpendicular line parallel to the y- axis has equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (1, 5) with x- coordinate 1, thus

x = 1 ← equation of perpendicular line

Answer:

B. False

Step-by-step explanation:

I hope this helps!

Short version of the answer.

Answer:

b= 3.5

s= 10.5

p=21

Step-by-step explanation:

b for brush

s for sketch book

p for paint set

b=1/3s

s= 1/2 p

b+s+p=37-2

1/3 s +s+2 s =35

1/3 s +s +2 s =35

10/3 s=35

s= 35*3/10

s= 10.5

b=1/3 s = 10.5/3 = 3.5

s= 1/2 p so p= 2s = 2( 10.5) = 21

10.5+3.5 + 21 = 35

Answer:

t(16s+15)

Step-by-step explanation:

The highest common factor of 16st+15t is t.

t(16s) + t(15)

Factor.

t(16s+15)

Answer:

t ( 16s+15)

Step-by-step explanation:

=> 16st + 15t

Taking t common

=> t ( 16s+15)

Answer:

66 necklaces

Step-by-step explanation:

First determine how many beads Ava has

40 * 100 = 4000

Then divide by the number of beads per necklace

4000/60 =66.66666

Round down for complete necklaces

66 necklaces

Answer:

x=19/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(x+5)=2(3x−2)

3x+15=6x+−4

3x+15=6x−4

Step 2: Subtract 6x from both sides.

3x+15−6x=6x−4−6x

−3x+15=−4

Step 3: Subtract 15 from both sides.

−3x+15−15=−4−15

−3x=−19

Step 4: Divide both sides by -3.

−3x

−3

=−19−3

x=19/3

Answer:

Okay buddy the answer is 63 because if you look at all the angles they are suppose to add up to 180 so with the line D and A the angles is 128 so the angle on the other side is 52 so 52 plus65 is 117 so then 180-117 is 63

Step-by-step explanation:

mark me branliest

Answer:

You could only draw one triangle because the other side of the triangle can only be one value. This is because when the angle measure between two sides and the length of the sides is given, the length of the other side is fixed. This is also modeled by the SAS principle of congruence.

Answer:

Step-by-step explanation:

You can draw 2 triangles

Answer:

Quotient of a number and 3 = x/3

Ten less the quotient of a number and 3 will equal 6

So...

10 - x/3 = 6

    + x/3      +x/3

10 = x/3 +6

-6              - 6

3 × 4=(x/3) × 3

12 = x

Answer:

The number is 48

Step-by-step explanation:

The number be x

Quotient of the number and 3 : x/3

Ten less the quotient of the number and x :  x/3 -10

[tex]\frac{x}{3}-10=6\\\\\frac{x}{3}=6+10\\\\\frac{x}{3}=16\\\\x=16*3\\\\x=48[/tex]

Answer:

- 27

Step-by-step explanation:

To find the 8 th term substitute n = 8 into the formula, that is

a₈ = 45 - 9(8) = 45 - 72 = - 27

Answer:

2.5

Step-by-step explanation:

I think you're missing a value because none of those work. 2.5 does

4*2.5 = 10

8 - 10 = -2

4 (-2) = -8

-8 + 20 = 12

Answer:

4 cm

Step-by-step explanation:

The figure is a parallelogram with area (A) calculated as

A = bh ( b is the base and h the perpendicular height )

Here A = 36 and b = 9 , thus

9h = 36 ( divide both sides by 9 )

h = 4 cm

Answer:

Step-by-step explanation:

considering the breadth of the shape as 5cm and length as 9cm...

now... for finding the height of the plane shape...

we need to use the formula for area of a trapezium...

so. area of a trapezium = 1/2 x height x sum of parallel sides

we are given area of trapezium = 36cm^2

SO SUBSTITUTING THE EQUATION...

36 = 1/2 x height x (9+9)

height = 4cm

Answer:

5 binders

Step-by-step explanation:

3 times 5 binders would be 15$, and since he paid with 20$, that is 5 dollars change

As an algbraic equation:

3x+5=20

3x=15

x=5

Answer

your anwser would be (2,5)

Step-by-step explanation:

y - x = 3 ...1

2x + y = 9 ...2

...2 - ...1

2x + y -y + x = 9 - 3

3x = 6

x = 2

replace x you will receive y value

Answer:

Think it's 7.

Step-by-step explanation:

Because 5-4=1 so it have to be 7.

7+1=8

Answer:

A) Multiplication

The solution of given equation  x= -20

Step-by-step explanation:

Step(i):-

Given equation  - ( x /4) = 5

Multiply '-1' on both sides, we get

                     ⇒    - ( (- x /4) ) = - 5

                     ⇒    [tex]\frac{x}{4} = -5[/tex]

Step(ii):-

Multiply '4' on both sides, we get  

                     ⇒    [tex]\frac{x}{4} X 4= -5 X 4[/tex]

Cancellation '4' on left side , we get

                          x = -20

Conclusion:-

The solution of given equation  x= -20

Answer:

A

Step-by-step explanation:

Answer:

c = 27

Step-by-step explanation:

If c divided by 9 equals to 3, then the other way around would be 3 times 9 equals to c, which is how you would get 27. If you look at PEMDAS, multiplication and division are together and work the other way around when used with each other, just like addition and subtraction.

I know this is kind of a lame answer with no fancy math words to back it but please, it's the best I could do.

Answer:

Use the slope-intercept form  

y = m x + b

to find the slope  m  and y-intercept  b .

Slope:  

2

y-intercept:  

− 7 2

Lines with the same slope are parallel.

parallel = 2

Answer:

13 clay for each person

Step-by-step explanation:

Add all the clay to find the total.

15+10+13+14+13= 65 clay in total

There are 5 people in total.

Divide 65 by 5 to find the distribution for each person.

65÷5= 13

Each person get 13 clay after redistribution.

They redistribute the clay then  Each person gets 13 clay after redistribution.

We have given that,

Margo has 15 pounds of clay, Tim has 10 pounds of clay, Tray has 13 pounds of clay, Lila has 14 pounds of clay, and Jerry has 13 pounds of clay.

Add all the clay to find the total.

15+10+13+14+13= 65 clay in total

There are 5 people in total.

Divide 65 by 5 to find the distribution for each person.

[tex]65/5= 13[/tex]

Each person gets 13 clay after redistribution.

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Answer:

134 and 135

Because 269/2 is 134.5, so you know that one is 134 and the other is 135.

The page numbers are 134 and 135

Any positive or negative number without fractions or decimal places is known as an integer, often known as a "round number" or "whole number."

Given:

The left and right page numbers of an open book are two consecutive integers whose sum is 269.

Let two consecutive integers are n, n+1.

Then,

the sum of two consecutive integers is 269.

According to the question,

n + n + 1 = 269

2n + 1 = 269

2n = 268

n = 134

The integers are 134 and 135.

Therefore,  integers are 134 and 135.

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Answer:

The cost of a bag of fruit is 45p

Step-by-step explanation:

Let w be the number of water bottles.

Let f be the number of bags of fruits.

"Two bottles of water and three small bags of fruit cost a total of £2.55"

2w + 3f = 2.55

"a bottle of water costs 15p more than a bag of fruit"

w = 0.15 + f

Substitute the second formula to the first and solve.

2w + 3f = 2.55

2(0.15 + f) + 3f = 2.55

0.3 + 2f + 3f = 2.55

0.3 + 5f = 2.55

5f = 2.55 - 0.30

5f = 2.25

f = 2.25 ÷ 5

f = 0.45

Substitute to the second formula again and solve for w.

w = 0.15 + 0.45

w = 0.6

Now verify:

2w + 3f = 2.55

2(0.6) + 3(0.45) = 2.55

1.2 + 1.35 = 2.55

2.55 = 2.55 (Correct)