How many one-third cubes are needed to fill the gap in the prism shown below?
MATH EASY AND MARK BRAINLIEST
A prism has a length of 4 and two-thirds, height of 2, and width of 4. 16 blocks are inside of the prism.
4
8
16
24

Answer:

A.) [tex]10\sqrt{5}[/tex]

Step-by-step explanation:

I'll explain rn hold up

Answer:

A.) [tex]10\sqrt{5}[/tex]

Step-by-step explanation:

Fist simplify [tex]40\sqrt{40}[/tex] :

[tex]40\sqrt{40}\\\\40\sqrt{4}\sqrt{10}\\\\40*2\sqrt{10}\\\\80\sqrt{10}[/tex]

Now simplify [tex]4\sqrt{8}[/tex] :

[tex]4\sqrt{8}\\\\4\sqrt{4}\sqrt{2} \\\\4*2\sqrt{2}\\\\8\sqrt{2}[/tex]

Insert both into expression:

[tex]\frac{80\sqrt{10}}{8\sqrt{2}}[/tex]

Simplify:

[tex]\frac{10\sqrt{10}}{\sqrt{2}}[/tex]

Rationalize:

[tex]\frac{\sqrt{2}}{\sqrt{2}}*\frac{10\sqrt{10}}{\sqrt{2}}\\\\\frac{10\sqrt{20}}{\sqrt{4}}\\\\\frac{10\sqrt{20} }{2}[/tex]

Simplify:

[tex]5\sqrt{20}[/tex]

Convert to simplest radical form:

[tex]5\sqrt{4*5} \\\\5\sqrt{4}\sqrt{5}\\\\5*2\sqrt{5}\\\\10\sqrt{5}[/tex]

:Done

Answer:

he should set up the problem so he can find the amount he has left to save. so 129.85 - 89.25 = X or the amount he needs.

he could also do 89.25 + X = 129.85

Answer:

Counting the unit on graph, we observes:

EK = MI = 8

EK // MI // x-axis

=> MEKI is parallelogram

Hope this helps!

:)

Answer: It has two pairs of parallel lines

Step-by-step explanation:

coordinates of E (-4,4)  K (4,4)   M(-6,-3) I( 2,-3)

The distance from E to K is 8  the same as the distance from M to I.

The distance from M to E is  about 7.3 and the distance between K and I is the the same thing.

Step-by-step explanation:

Total marbles = 8 + 9 + 10 + 5 = 32.

Probability of green pencil= 8 / 32 = 1 / 4

Probability of yellow = 10 / 32 = 5 / 16

Step-by-step explanation:

7x + 8 + 15 - 7x

Solving like terms

23

Option C is the correct answer

Answer:

23

Step-by-step explanation:

Given

(7x + 8) + (15 - 7x) ← remove parenthesis

= 7x + 8 + 15 - 7x ← collect like terms

= 23

Answer: y= -2x -4

Step-by-step explanation:

-3-4= -7

2-(-12)=14  

14/-7= -2 as the slope.  y=-2x +B

2=-2(-3) +b

2=6 +b     b=-4

y= -2x -4

Mean: 10.5

Median: 10.5

Range: 5

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

To find the mean you order the numbers then add then divide.

Add

8+9+10+10+10+11+11+11+12+13=105

Divide

105÷10=10.5

Mean = 10.5

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

Finding the median essentially involves finding the value in a data sample that has a physical location between the rest of the numbers.

Find the middle number. Put your left finger on 8 and your right finger on 13. Move your left finger to the right to 10 and move your right finger to 11.

the middle number is 10.5 so therefore it is the median.

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

To find the range you subtract the biggest number to the smallest number.

Subtract

13-8=5

Therefore 5 is the range

Answer:

The median is 10.5 the range is 5 and the mean is 10.5

Step-by-step explanation:

To find the median you have to cross out each number till you get 2 since there are 10 numbers together then add 10 and 11 and get 21 divide by 2 which gives you 10.5 to find the mean add all the numbers then divide 105 by 10 and get 10.5 to find the range take 13-8 and get 5

Answer:

C

Step-by-step explanation:

So you already know you do 480 calories for the first 3 miles so it doesnt need to be multiplied by the X amount of extra miles

Now you burn 98 calories per extra mile so for instance (if you did say 2 miles you would want to multiply 98 calories by 2 cause you burn 98 calories per mile)

Lastly, you just ate Y amount of calories so you need to subtract that from the burned calories cause you just now consumed Y amount of calories

So in conclusion, the answer would be C. f(x, y) = 480 + 98x + y

Answer:

6, -7

Step-by-step explanation:

when I followed those instructions, that's what i got.

:)

Answer:

are there answer choices

Step-by-step explanation:

sorry i did not answer

Answer:

x² + (y - 3)² = 9

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k) = (0, 3) and r = 3, thus

(x - 0)² + (y - 3)² = 3², that is

x² + (y - 3)² = 9 ← equation of circle

Answer:

80? bc yhu cant use solution a because it only has 35...i think

Step-by-step explanation:

if im wrong sorry

The requried scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.

Let's assume the scientist uses x ounces of Solution A and y ounces of Solution B to obtain the desired mixture.

From the information given, we can set up the following equations:

Equation 1: The total amount of solution is 90 ounces, x + y = 90

Equation 2: The amount of salt in the mixture can be expressed as, 0.35x + 0.80y = 0.40 * 90

Simplifying Equation 2:
0.35x + 0.80y = 36

To solve these equations, we can use substitution or elimination. Let's use the substitution method.

From Equation 1, we can express x = 90 - y and substitute it into Equation 2:

0.35(90 - y) + 0.80y = 36

31.5 - 0.35y + 0.80y = 360

45y = 4.5y = 10

Substituting y = 10 back into Equation 1:

x + 10 = 90

x = 80

Therefore, the scientist should use 80 ounces of Solution A (35% salt) and 10 ounces of Solution B (80% salt) to obtain a 90-ounce mixture that is 40% salt.

Learn more about equations here:

https://brainly.com/question/29120208

#SPJ4

Answer:

y=-2x+8

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer would be -1, 0

The first numbers represent the A axis, so -3-2 = -1

The 2nd number represents the B axis, so 5-5=0

The midpoint of the line segment is (-1/2, 0).

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

A = (-3, -5) = (a, b)

B = (2, 5) = (c, d)

The midpoint of AB is (x, y).

x = (a + c)/2

x = (-3 + 2)/2

x = -1/2

y = (b + d) / 2

y = (-5 + 5)/2

y = 0/2

y = 0

(x, y) = (-1/2, 0)

Thus,

The midpoint is (-1/2, 0).

Learn more about midpoints of a line segments here:

https://brainly.com/question/13792156

#SPJ2

Answer:

35 deg

Step-by-step explanation:

1/2(100 - 30 deg) = 35

Answer:

= 40%

Step-by-step explanation:

Original price = 100%

Discount = Op - Np = $49.99 - $29.99 = $20

If $49.99 = 100%

What about $20 = ?

= (20 x 100) ÷ 49.99

= 2000 ÷ 49.99

= 40.008

= 40%

Answer:

I would say B

Step-by-step explanation:

I think

Answer:

b

Step-by-step explanation:

Answer:

Trey's number line model is incorrect because it represents the expression 2 1/2 / 3/4. The correct equation is 2 1/2 / 3/8 = 6 2/3. Ms. Nellies has enough vinegar for 6 groups of students.

Answer:

incorrect

wrong equation 2 1/2 / 3/4

correct equation 2 1/2 / 3/8 = 6 2/3

6 groups of students.

Step-by-step explanation:

Answer:

a=he went back home

b=speed=240km/h

Step-by-step explanation:

ps: wouldn't mind brainliest

Answer:

a) Jo moved 1 kn from her starting position at minute 10

b) 0.13 km/min

Step-by-step explanation:

Look at the picture

Answer:

yes

Step-by-step explanation:

because the angles can be, acute, obtuse or right.

Answer:

yes

Step-by-step explanation:

The answer is yes because the angles add up to 180

Answer:

3/8

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

Answer:

Inconsistent equations: No solutions

For instance, 3=3 is a identity equation. A  equation like 3=5 is a conflicting equation, since 3 isn't equivalent to 5. On the off chance that during the time spent tackling a equation you end up with a conflicting equation (accepting you didn't commit an error), at that point the first condition has no arrangements.

Step-by-step explanation:

Answer: 75°

Step-by-step explanation:

Using the Base Angles Theorem, we can conclude that <ABC and <ACB are congruent. The angles of a triangle add up to 180 degrees so we can write this equation to solve for x:

x + 5 + 3x + 3x = 180

simplify

7x + 5 = 180

subtract 5 from both sides

7x = 175

divide each side by 7

x = 25

plug 25 in for x to find the angle measure

3(25) = 75

The measure of angle ∠C would be 75 degrees which is the correct answer would be option (D).

The lengths of sides AC and AB are congruent.

Angle CAB = (x + 5) degrees.

Angle ABC = (3 x) degrees.

Two triangles are said to be congruent if their corresponding sides and angles are equal.

We may deduce that ABC and ACB are congruent by using the Base Angles Theorem. Because the angles of a triangle sum up to 180 degrees, we may solve for x using this equation:

⇒ x + 5 + 3x + 3x = 180

Rearrange the likewise terms and apply the arithmetic operation,

⇒ 7x + 5 = 180

Subtract 5 from both sides of the above equation,

⇒ 7x = 175

Divide both sides by 7 of the equation,

⇒ x = 25

Since Angle ∠ABC is (3 x) degrees.

Substitute the value of x = 25 to find the angle measure

⇒ Angle ∠C = 3(25) = 75°

Therefore, the measure of angle ∠C would be 75 degrees.

Learn more about congruent triangles here:

brainly.com/question/4364353

#SPJ6

Answer:

a) Each 1m² of fence panel costs: £2

b) I metre of wooden frame costs: £1

Step-by-step explanation:

Let the price of 1 sq.m. of fence panel be x

Let the price of 1 m of wooden frame be y

In Fig 1

Length = 4 m

Breadth = 3 m

Area =[tex]Length \times breadth = 4 \times 3 = 12 sq.m.[/tex]

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(4+3)=14 m

Cost of 1 m of wooden frame = y

Cost of 14 m of wooden frame = 14y

We are given that total cost of framing and fencing is 38

So. 12x+14y=38 ----1

In Fig 2

Length = 6 m

Breadth = 2 m

Area =[tex]Length \times breadth = 6 \times 2 = 12 sq.m[/tex].

Cost of 1 sq.m. = x

Cost of 12 sq.m. = 12x

Perimeter =2(l+b)=2(6+2)=16 m

Cost of 1 m of wooden frame = y

Cost of 16 m of wooden frame = 16y

We are given that total cost of framing and fencing is 40

So. 12x+16y=40---2

Substitute the value of 12x form 1 in 2

38-14y+16y=40

2y=2

y=1

Substitute the value of y in 2

12x+16=40

12x=24

x=2

So, cost of 1 sq.m. of fence panel is 2 and cost of 1 m of wooden frame is 1

In fig 3

To verify :

Length = 3 m

Breadth = 5 m

Area = [tex]Length \times breadth = 3 \times 5 = 15 sq.m.[/tex]

Cost of 1 sq.m. = 2

Cost of 12 sq.m. =[tex]15 \times 2 = 30[/tex]

Perimeter =2(l+b)=2(3+5)=16 m

Cost of 1 m of wooden frame = 1

Cost of 16 m of wooden frame = 16

So, Total cost = 30+16=46

We are given that cost of fencing and framing is 46

Thus verified

Hence

a) Each 1m² of fence panel costs: £2

b) I metre of wooden frame costs: £1

Answer:

a circle with center at (h, k) or (3, -4) and radius 3

Step-by-step explanation:

Next time, please share the answer choices.

(x - 3)^2 + (y + 4)^2 = 9 = 3^2

is a circle with center at (h, k) or (3, -4) and radius 3.

The polynomial in descending order would be:

x^12 + 3x^7 + 4x^3-9x.

It all has to do with their degrees (exponents).

I don't know what the answer choices are because you didn't post them, but that is the answer.

I hope this helps.