Hyla has blocks of clay that are each 4 centimeters by 4 centimeters by 2 centimeters. She needs to cover the bottom of a box with a 2-centimeter tall layer of clay. The bottom of the box is 24 centimeters long and 20 centimeters wide. How many blocks of clay does Hyla need?

Answers

Answer 1

Answer:

12 or 10 blocks of clay

Step-by-step explanation:

If this is correct please give me brainliest.

Answer 2

Hyla needs 30 blocks of clay to cover the bottom of the box with a 2-centimeter-tall layer of clay.

What is the area?

Area is a measure of the size of a two-dimensional surface or region. It is the amount of space inside a shape, usually measured in square units, such as square meters or square feet.

The area is an important concept in geometry and is used in many fields, including physics, engineering, and architecture, among others.

The solution to this question is:

The area of the bottom of the box is:

24 cm x 20 cm = 480 cm^2

Since the layer of clay needs to be 2 cm tall, the volume of clay needed to cover the bottom of the box is:

480 cm^2 x 2 cm = 960 cm^3

Each block of clay has a volume of:

4 cm x 4 cm x 2 cm = 32 cm^3

So, to find how many blocks of clay Hyla needs, we can divide the volume of clay needed by the volume of each block:

960 cm^3 ÷ 32 cm^3/block = 30 blocks of clay

Therefore, Hyla needs 30 blocks of clay to cover the bottom of the box with a 2-centimeter-tall layer of clay.

Learn more about the area here:

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Related Questions

Please help me I need to turn this in ASAP!! 30pts

Answers

Answer:

Step-by-step explanation:

MO bisects ∠LMN.

⇒ ∠LMO = ∠NMO

⇒ ∠LMN = 2 * ∠LMO

   6x - 28  = 2* (x +34)

  6x - 28 = 2*x + 2*34

 6x - 28  = 2x + 68

Add 28 to both sides

6x = 2x + 68 + 28

6x = 2x + 96

Subtract 2x from  both sides

6x - 2x = 96

  4x      = 96

Divide both sides by 4

x = 96/4

x = 24

∠LMO = x +  34 = 24 + 34 = 58

∠MNO = ∠LMO

∠MNO = 58°

quick math question i got stuck on this please help for a mark on brainliest:)

Answers

Answer:

you have to change the sign from - to +

Step-by-step explanation:

-1.8 + k = 8.2

k = 8.2 + 1.8

k = 10

Answer:

sorry this is the way that I usually solve these kinds of problems but, She forgot to make -1.5 into a positive. if that makes sense

Can someone explain how to solve this step by step?

Answers

Answer: [tex]\frac{x+1}{x}[/tex]

multiple by [tex]\frac{x^{2} }{x^{2} }[/tex]

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

[tex]\frac{(x+1)(x-1)}{x(x-1)}[/tex]

[tex]\frac{x+1}{x}[/tex]

Step-by-step explanation:

Thank You So Much!! I Need Help

Answers

Answer:

B

Step-by-step explanation:

plolynomial is (x+4)(x-0)(x-1)(x-4)

or x(x-1)(x+4)(x-4)

or (x²-x)(x²-16)

or x^4-x³-16x²+16x

1/8 of a mile was ran in 1 1/2 min how long will it take to reach a mile HELP

Answers

Answer:

12 minutes.

Step-by-step explanation:

If it took 1.5 minutes to run 1/8 of a mile, you need to multiply both numbers by 8 (whole number) to get your answer.

a. 1/8 × 8/1 = 8/8 or ONE WHOLE MILE

b. 1.5 × 8/1 = 12

The mile is fractioned into 8 parts, multiply by 8 to get a whole mile.

HELP DUE IN 10 MINS!

Solve for x:

−12x + 4 = -7x - 16

Answers

Answer:

I HOPE IT WILL HELP YOU.

Have a great day ahead.

Can someone HELP ME WITH QUESTION 2 ONLY PLEASE!!! 20 points !!!

Answers

Step-by-step explanation:

1. Line l can be named as line FBD

2. B and C

3. Colinear:-A,B,C

No-Colinear:-F,B,C

4. 6

5. DE = 13

2 + 2x - 3 = 13

2x - 1 = 13

2x = 12

x = 12/2

x = 6

Answer:

The intersection of line l is AC and the intersection of line m is FD.

Intersection line means the line which passes the line by crossing it.

5 1/4-2 2/3

Solve and show equations

Answers

Answer:

5 1/4 - 2 2/3 = 31/12 = 2 7/12 = 2.5833333

Step-by-step explanation:

1. Conversion a mixed number 5 1/4 to a improper fraction: 5 1/4 = 5 1/4 = 5 · 4 + 1/4 = 20 + 1/4 = 21/4

To find new numerator:

a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/4 = 20/4

b) Add the answer from previous step 20 to the numerator 1. New numerator is 20 + 1 = 21

c) Write a previous answer (new numerator 21) over the denominator 4.

Five and one quarter is twenty-one quarters

Conversion a mixed number 2 2/3 to a improper fraction: 2 2/3 = 2 2/3 = 2 · 3 + 2/3= 6 + 2/3 = 8/3

To find new numerator:

a) Multiply the whole number 2 by the denominator 3. Whole number 2 equally 2 * 3/3 = 6/3

b) Add the answer from previous step 6 to the numerator 2. New numerator is 6 + 2 = 8

c) Write a previous answer (new numerator 8) over the denominator 3.

Two and two thirds is eight thirds

Subtract: 21/4 - 8/3 = 21 · 3/4 · 3 - 8 · 4/3 · 4 = 63/12- 32/12 = 63 - 32/12 = 31/12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(4, 3) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 4 × 3 = 12. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - twenty-one quarters minus eight thirds = thirty-one twelfths.

Given: f(x) = 2x + 5 and g(x) = x2 and h(x) = -2x

h(g(f(x))) = Ax² + B + C

Which is A: 4, -8, 8
Which is B: 20,-20,-40
Which is C: 50, -50, 25

Answers

(2x+5)(2x+5)

4x^2+10x+10x+25

4x^2+20+25

A=4

B=20

C=25

the measure of the angles of a triangle are shown in the figure below. solve for x.

Answers

Answer:

[tex]\boxed {\boxed {\sf x= 12}}[/tex]

Step-by-step explanation:

We are asked to solve for x. We are given a triangle and all 3 angles are labeled. We know that the sum of the angles in a triangle must be 180 degrees. Therefore, the given angles: 81, 57, and (2x+18) must add to 180. We can set up an equation.

[tex]81+57+ (2x+18)= 180[/tex]

Now we can solve for x. Begin by combing like terms on the left side of the equation. All the constants (terms without a variable) can be added.

[tex](81+57+18)+2x=180[/tex]

[tex]156+2x=180[/tex]

We will solve for x by isolating it. 156 is being added to 2x. The inverse operation of addition is subtraction. Subtract 156 from both sides of the equation.

[tex]156-156+2x=180-156 \\2x=180-156 \\2x= 24[/tex]

x is being multiplied by 2. The inverse operation of multiplication is division. Divide both sides by 2.

[tex]2x/2= 24/2 \\x= 24/2 \\x=12[/tex]

In this triangle, x is equal to 12.

Answer:

x° = 12°

Step-by-step explanation:

Hello!

The sum of the measures of the angles of a triangle is 180°.

81° + 57° + (2x + 18)° = 180°

138° + (2x + 18)° = 180°

(2x + 18)° + 138° = 180°

2x + 18° = 180° - 138°

2x + 18° = 42°

2x = 42° - 18°

2x = 24°

x° = 24° ÷ 2

= 12°

Success! ☺️

A line includes the points (2, 4) and (3, 10). What is its equation in slope-intercept form?

Answers

Answer:

6

Step-by-step explanation:

formula is y2-y1 / x2-x1

Step-by-step explanation:

first off find the gradient dy/dx

-6÷-1=6

y=6x+c

now substitute (2,4)

4=12+c

c=-8

y=6x-8

The difference of a positive integer and an integer that is greater than it

Answers

Answer: Positive integers are all the whole numbers greater than zero: 1, 2, 3, 4, 5, ... . Negative integers are all the opposites of these whole numbers: -1, -2, -3, -4, -5, …. ... If an integer is greater than zero, we say that its sign is positive. If an integer is less than zero, we say that its sign is negative

so 8 9 10 is positive and -8 -9 -10 is negative

they cancel each other out like 8+-8 = 0 and -8+4=-4

12. Find three consecutive even integers such that
the sum of the smallest integer and twice the
median integer is 20 more than the largest
integer.

Answers

Answer:

10, 11, 12

Step-by-step explanation:

Hi there!

Let x be equal to the smallest integer.

Let x+1 and x+2 be equal to the consecutive integers.

We're given that:

⇒ smallest integer + 2 × middle integer = 20 + largest integer

Construct an equation:

[tex](x)+2(x+1)=20+(x+2)[/tex]

Combine like terms:

[tex](x)+2(x+1)=20+(x+2)\\x+2x+2=20+x+2\\3x+2=22+x\\2x=20\\x=10[/tex]

Therefore, the smallest integer is 10.

This makes the consecutive integers 11 and 12.

I hope this helps!

The following table shows the values of x and y for a certain function.

x | 0 | 2 | 3 | 4 | 5
y | 2 | 3 | 4 | 5 | 6

What will be the value of y for the inverse of this function when x=3?

4
2
It cannot be determined from the given information.
0
3

Answers

Answer:

4

Step-by-step explanation:

please help i will mark brainliest

Answers

Answer:

So I'm not sure if the shapes have to do anything for it but I solved for x

5. x = 1

AGAIN SORRY IF THIS IS WRONG I HAVENT DONE THIS KIND OF MATH IN 5 YEARS.

Year 8 maths Finding the rule using a table of values

Answers

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, a) and (x₂, y₂ ) = (1, b)

m = [tex]\frac{b-a}{1-0}[/tex] = b - a

y = (b - a)x + c

(a)

with coefficient of x being b - a

(b)

The line crosses the y- axis at (0, a ) ⇒ c = a

y = (b - a)x + a

HELPPP!!!
What is the value of f(4)

Answers

Answer:

f(4) = 0

Step-by-step explanation:

If the value of x is between 0 and 5, then the f(x) will equal 0.

x = 4 is greater than 0 and less than 5, so f(4) = 0

Amber baked 243 cookies. She wants to share the cookies evenly among 13 friends in her class. How many cookies will each friend receive?

Answers

Answer:

18

Step-by-step explanation:

243÷13=18remainder9

mark me brainliest

Answer:

18

Step-by-step explanation:

243/13

if Y varies directly with X, and Y = -5 and X = 7, what is X when Y = -85?

Answers

Answer:

X = 119

Step-by-step explanation:

Step 1: Given

Y = -5 X = 7

Y = -85 X = n

Step 2:

-85 ÷ -5 = 17

Step 3:

17 × 7 = 119

Answer:

Y = -5 X = 7

Y = -85 X = 119

n = 119

can you help me with this question? (angle names) thanks :)

Answers

Answer:

Option c because they can make 180° when added.

Answer:

c is the correct answer

have a great day

GUYS I NEED HELPPPPPP
PLEASEEEEEEEEEEE IF YOU CAN THEN TYSM

Answers

Answer:

198 cubic metres

Steps:

Find the area of cross section

Area if traingle + Area of square

1/2 × 3 × 4 + 4×4

6+ 16

22

Then times with the lenght (9)

22×9

I hope this helps, dont hesitate to ask for any question.

Mark me as brainliest is appreciated.Tq!!

Can someone Please! <3

Answers

Answer:

A= D , B=C

SO; angle D =102

A+B = 180

C+D=180

C+102=180 —> C = 180-102 = 78

So; C=78 , D=102

I hope I helped you^_^

Answer:

angle C = 78

angle D = 108

Step-by-step explanation:

 the measure of angle A is 102

To find the measure of angle C

let Angle C be x

102 + x = 180 (linear pair)

x = 180 -102

x = 78

angle C = 78

angle B = 78 (vertically opposite angles are equal)

angle D = 108 (vertically opposite angles are equal)

antoine brought some cans of soda to a party. His friends drank 6 cans. CReate an algebraic expression to represent how many can are left

Answers

Answer:

n - 6 = p

Step-by-step explanation:

Please help I need this​

Answers

Answer:

3m-8

Step-by-step explanation:

Kelly  = 8 less than (-8) 3 times Marcy (3m)

What else needs to be given as congruent in order to
prove that triangle AEC is congruent to triangle BED by
ASA?
D
1

Share With Class

Answers

D it’s the answer because it sounds right and to be honest I need points

Included sides AE and BE  need to be given as congruent to prove that triangle AEC is congruent to triangle BED by the Angle-Side-Angle (ASA) Congruence Theorem.

According to the Angle-Side-Angle (ASA) Congruence Theorem, if two angles and an included side of a triangle is congruent to corresponding two angles and an included side of another triangle, both triangles can be proven to be equal or congruent to each other.

We are know the following from the given image:

<AEC = <BED (vertical angles are congruent)

<EAC = <EBD (congruent angle)

This implies that two angles (<AEC and <EAC) in triangle AEC are congruent to two corresponding angles (<BED and <EBD) in triangle BED.

Therefore, to prove that both triangles are congruent by ASA, we need to be given that the included sides AE and BE are congruent.

Learn more about Angle-Side-Angle (ASA) Congruence Theorem here:

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you had $430 but you are spending $8 each day which algebraic expresion describes this situation where d represents the number of days

Answers

Answer: 430-8d

Step-by-step explanation:

you start with 430 dollars and you spend 8 a day. you multiply 8 by the number of days and subtract that from 430.

The algebraic expression that describes the situation is 430 - 8d.

Given,

You have $430 but you are spending $8 each day.

We need to find the algebraic expression that describes this situation where d represents the number of days.

What is an algebraic expression?

An algebraic expression is an expression which is made up of variables and constants.

Find the algebraic expression.

Total amount = $430

Amount spend each day = $8

Let the number of days be denoted by: d

If $8 is spent daily then 8d represents the amount spent for d days.

Now,

$430 is the amount from which the money has to be spent so,

430 - 8d is the required algebraic expression.

Thus the algebraic expression that describes the situation is 430 - 8d.

Learn more about how to make algebraic expressions here:

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Can someone please solve 10 and 11

Answers

Answer:

10) 8              11) 10

Step-by-step explanation:

10)

12-4=8

? = 8

11)

7+2=9

19-9=10

TU = 10

[tex]\large \mathfrak{Solution : }[/tex]

10. Find TU :

Given values :

ST = 4 units

SU = 12 units

As we saw :.

ST + TU = SU

4 + TU = 12

TU = 12 - 4

TU = 8 units

11. Find TU :

Given values :

ST = 2 units

UV = 7 units

SV = 19 units

According to observation :

ST + TU + UV = SV

2 + TU + 7 = 19

TU = 19 - 9

TU = 10 units

Which is the function represented by the table? fon 0 5 6 2 O fx)= x+ 5 o Ax)= X-5 0 f(x)= x+ 1 ix)= X-1​

Answers

Answer:

The choose a. f(x) = x+5

Step-by-step explanation:

f(-1)= -1+5=4

f(0)=0+5=5

Answer:

f(x)=x+5

Step-by-step explanation:

According to the table, the y values are 5 more than the x values

Please please please help

Answers

Answer:

It's linear, so its proportional/has a relationship.

The y/x thing means slope, so take the slope -- which is 9.


When q= -4 and g=1 look at picture

Answers

Answer:

-25

Step-by-step explanation:

sorry for the mistake

 

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