The diagram below shows a rectangular prism made up of
inch cubes.

1. How many unit cubes whose dimensions are 3/5 inch fill up the rectangular prism?
_________

2. Find the total volume, in cubic inches, represented in the diagram.
_______ cubic inches

The meaning of each of the expressions Dante constructed is illustrated below.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Angelique had 20 tokens to use for games at the arcade.

After she lost 't' amount of tokens the remaining number of tokens became

20 - t.

After his father tripled the number of tokens it became 3(20 - t).

Dante distributed the terms 3(20 - t) and get the remaining number of tokens after his father tripled the number of tokens is 60 - 3t.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ9

Answer:

The answer is A

Step-by-step explanation:

Answer: 2.5 or 2 1/2

Step-by-step explanation:

One way: 1/2 x 5 = 5/2

5/2 = 2 1/2 = 2.5

Another way: 1/2 + 1/2 + 1/2 + 1/2 + 1/2 = 5/2 = 2 1/2 = 2.5

The  equivalent expression to 8k - (5 + 2k) is 6k-5.

An expression is combination of variables, numbers and operators.

The given expression is 8k-(5+2k)

Eight times k minus five plus two times of k.

We need to find the equivalent expression to the given expression.

K is the variable in the expression.

Equivalent expressions are expressions that work the same even though they look different.

Apply distributive property

8k-5-2k

Add the like terms

6k-5

Hence, 6k - 5 is the equivalent expression of 8k-(5+2k).

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ1

The formula for percentage error in physics is:

% error = (|experimental value - accepted value| / accepted value) x 100%

In this formula, the experimental value is the measured value obtained from an experiment, the accepted value is the true or theoretical value, and the absolute value of the difference between them represents the error. Dividing this error by the accepted value and multiplying by 100% gives the percentage error.

The percentage error is used to assess the accuracy of experimental measurements and to determine the degree of deviation between the experimental and accepted values. The lower the percentage error, the more accurate the measurement is considered to be.

Learn more about physics here: brainly.com/question/28600368

#SPJ4

If the scale factor of Triangle A to Triangle B is 1:2, it means that the ratio of the corresponding sides of the two triangles is 1:2.

The scale factor is defined as the ratio of the modified change in length to the original length.

Here,

If the scale factor of Triangle A to Triangle B is 1:2, it means that the ratio of the corresponding sides of the two triangles is 1:2.

More specifically, it means that for any given pair of corresponding sides of Triangle A and Triangle B, the length of the side in Triangle B is twice as long as the length of the corresponding side in Triangle A.

For example, if Triangle A has sides of length 3, 4, and 5 units, and Triangle B is similar to Triangle A with a scale factor of 1:2, then the corresponding sides of Triangle B will have lengths of 6, 8, and 10 units.

Learn more about Scale factors here:

https://brainly.com/question/22312172

#SPJ1

Answer:

1. dotted

2. solid

3. dotted

Step-by-step explanation:

dotted-- "greater than" or "less than"

solid-- "greater than" or equal " or "less than or equal"

p.s.---- i think of it as if the line is under the symbol then the line is solid, if there is no lie under the symbol then it is dotted

please mark brainliest

Answer: I think that the unknown measure is 22.

Step-by-step explanation: The bottom and height combined is the value of the longer line.

The width of the frame will be 6 inches.

The area of the rectangle is defined as the space occupied by the rectangle in two dimensional space.

Given that a rectangular picture is 9 inches wide and 12 inches long. the picture has a frame of uniform width. if the combined area of picture and frame is 180 in².

The area of the picture is calculated as:-

Area = L x W

Area =  12 x 9

Area = 108 square inches

The remaining area of the frame is,

Area = 180 - 108

Area = 72 square inches.

The width of the ram is calculated as:-

Area = L x W
72 = 12 x W
W = 72 / 12

W = 6 inches

Therefore, the frame will have a width of 6 inches.

To know more about an area of rectangle follow

https://brainly.com/question/14329641

#SPJ9

we can predict that the population of the city in 2020 will be approximately 2931 (rounded to the nearest whole number).

What is percentage ?

A percentage is a way of expressing a number as a fraction of 100. The symbol for percentage is "%". For example, 50% means 50 out of 100 or 0.5 as a decimal.

Percentages are commonly used to represent proportions, rates, and changes in quantities. They can be used to compare quantities of different sizes, or to express how much one quantity has changed relative to another quantity.

According to the question:
To predict the population of the city in 2020, we can use the formula:

P = P₀(1 + r)ᵗ

where:

P₀ = the initial population (in 2000) = 2000

r = the annual growth rate as a decimal = 0.02

t = the number of years since the initial population = 20 (since we want to predict the population in 2020, which is 20 years after 2000)

Substituting these values into the formula, we get:

P = 2000(1 + 0.02)²⁰

Using a calculator, we can simplify this to:

P ≈ 2930.63

Therefore, we can predict that the population of the city in 2020 will be approximately 2931 (rounded to the nearest whole number).

To know more about percentage visit:
https://brainly.com/question/29116686
#SPJ1

Answer:

a6 = 4/243

Step-by-step explanation:

We can represent the geometric sequence with [tex]a_n=4(\frac{1}{3})^{n-1}[/tex], so the 6th term would be [tex]a_6=4(\frac{1}{3})^{6-1}=\frac{4}{243}[/tex].

The value of the angle x in the parallel lines is 70 degrees.

When parallel lines are cut by a transversal line, angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles etc.

Therefore, let's find x in the lines.

Sum of angles in a triangle is 180 degrees.

Hence,

∠KDP = 180 - 70 - 60

∠KDP = 50 degrees

∠BDC = ∠KDP  = 50 degrees(vertically opposite angles)

∠DBC = 180 - 50 - 60

∠DBC = 70 degrees

∠DBC = x = 70 degrees(corresponding angles)

learn more on angles here: https://brainly.com/question/29169726

#SPJ1

200 tiles are required to cover the floor. The cost of tiling at the rate of $7 per tile is ₹ 1200.

A competent mason is installing square tiles with a side of 0. 5 m on the floor of a room that is 10 m long and 5 m broad at a cost of ₹ 6 for each tile.

The entire floor space that has to be tiled is:

Area

= length x width

= 10m x 5m

= 50 square meters

An area of each square tile is:

Area of a square tile

= side x side

= 0.5m x 0.5m

= 0.25 square meters

In order to tile the floor, the following total number of tiles is needed:

Total number of tiles

= Area / Area of a square tile

= 50 / 0.25 = 200

The total cost of tiling the floor at the rate of ₹ 6 per tile is:

Total cost

= Total number of tiles x Cost per tile

= 200 x ₹ 6

= ₹ 1200

So, to tile the floor of the 10m long by 5m broad room with square tiles with a 0.5m side, the professional mason will demand ₹ 1200.

For similar question on total square area,

https://brainly.com/question/29255389

#SPJ4

Question- A floor of the room 10 m long and 5 m wide is to be covered by square tiles. If each square tile is 0.5 m, find the number of tiles required to cover the floor. Also, find the cost of tiling at the rate of ₹ 6 per tile.

The main theme of Fahrenheit 451, a novel written by Ray Bradbury, is the dangers of censorship, conformity, and the importance of preserving knowledge and free thought.

The novel is set in a dystopian society in which books are banned and "firemen" are responsible for burning any that are found. The protagonist, Guy Montag, is a fireman who begins to question his job and the society he lives in, eventually leading him to join a group of rebels who memorize books in order to preserve their contents. Bradbury uses the story to warn against the dangers of censorship, mindless conformity, and the loss of intellectual curiosity, emphasizing the need for critical thinking, individuality, and the preservation of knowledge.

Learn more about fahrenheit 451 here: brainly.com/question/2677471

#SPJ4

Forty-seven and seven tenths minus twenty-three and nineteen-hundredths is equal to twenty-four and fifty-one hundredths, or 24.51 as a decimal.

To find the difference between forty-seven and seven tenths (47.7) and twenty-three and nineteen hundredths (23.19), we can simply subtract the two numbers using the standard subtraction method for decimals. Here are the steps:
1. Line up the decimals:
47.70
-23.19
2. Subtract the hundredths place: 0 - 9 = -9. Since we can't have a negative number in the hundredth place, we need to borrow 1 from the tenths place. So, 10 - 9 = 1.
3. Subtract the tenths place: 6 (after borrowing) - 1 = 5.
4. Subtract the ones place: 7 - 3 = 4.
5. Subtract the tens place: 4 - 2 = 2.
So, the final answer is 24.51.

Therefore, forty-seven and seven tenths minus twenty-three and nineteen-hundredths is equal to twenty-four and fifty-one hundredths, or 24.51 as a decimal.

Learn more about standard subtraction :https://brainly.com/question/28358285

#SPJ11

The value of a is 0.14, b is 0.2 and c is 0.33.

The horizontal straight lines in mathematics known as number lines are where integers are arranged in equal intervals. A number line can be used to represent every number in a sequence. The endpoints of this line go on forever.

Given:

The number a and b lies between 0/4 and 1/4. (0 and 0.25).

We have the numbers is 0.2, 0.333 (3/9) and 0.14 (1/7).

So, the value of a can be 0.14

and, value of b is 0.2.

and, the value of c is 0.33.

Learn more about Number line here:

https://brainly.com/question/16191404

#SPJ9

The perimeter of triangle ΔCBH found using the relationship between similar triangles, ΔCBH, and ΔFEH is 18.9

Similar triangles are triangles that have the same shape and interior angles and between which the ratio of their corresponding sides are equivalent.

The specified parameters are;

The triangles ΔCBH and ΔFEH are similar, ΔCBH ~ ΔFEH

The alternate interior angles theorem indicates that we get;

∠BCH is congruent to ∠EFH and ∠CBH is congruent to ∠FEH

Vertical angles theorem, indicates that we get;

∠CHB ≅ ∠FHE

The ratio of the corresponding sides formed between similar triangles are equivalent, therefore, we get;

CH/FH = BH/EH

7/10 = BH/6

BH = 6 × (7/10) = 4.2

BH = 4.2

CH/FH = BC/EF

7/10 = BC/11

BC = 11 × 7/10 = 7.7

BC = 7.7

The perimeter of the triangle ΔCBH = BC + BH + CH

Therefore, the perimeter of ΔCBH = 7.7 + 4.2 + 7 = 18.9

Learn more on similar triangles here: https://brainly.com/question/29782808

#SPJ1

There are 2.19,  39 euros in $100.

To determine how many 39 euros are equivalent to $100, you need to know the current exchange rate between euros and US dollars. The exchange rate varies constantly, so it's important to use the most up-to-date rate.

As of the time of writing, the exchange rate is 1 euro = 1.17 US dollars. This means that for every euro, you get 1.17 US dollars.

To determine how many 39 euros are equivalent to $100, you can use the following formula:

39 euros * (1.17 US dollars/1 euro) = X US dollars

Simplifying the equation gives:

45.63 US dollars = X US dollars

So, 39 euros are equivalent to 45.63 US dollars. To determine how many 39 euros are equivalent to $100, you can use the following formula:

$100 / (1.17 US dollars/1 euro) = X euros

Simplifying the equation gives:

85.47 euros = X euros

So, 85.47 euros are equivalent to $100. Therefore, you would need approximately 85.47/39 = 2.19 sets of 39 euros to reach $100.

To know more about exchange rate click on below link:

https://brainly.com/question/29562028#

#SPJ11

The speed of the wind is 60 mph.

Let's denote the speed of the wind as r. When the plane is flying with the wind, its speed is (360 + r) mph, and when it's flying against the wind, its speed is (360 - r) mph.

According to the question, the plane flew the same distance with and against the wind, so we can set up an equation:

2.5(360 + r) = 3.5(360 - r)

Expanding the equation, we get:

900 + 2.5r = 1260 - 3.5r

Simplifying and rearranging the terms, we get:

6r = 360

Dividing both sides of the equation by 6, we get:

r = 60

Therefore, the speed of the wind is 60 mph.

Learn more about speed at https://brainly.com/question/7359669

#SPJ11

Answer:

angle 1 is 24 degrees, and angle 2 is 66

Step-by-step explanation:

;)

The slope of line q can be found using the proportion JN/MN = KP/LP. Therefore, option D is the correct answer.

From the give graph,

In triangle LPK,

Slope = KP/LP

In triangle MNJ

Slope = JN/MN

Therefore, option D is the correct answer.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ1

Step-by-step explanation:

the difference is

1395 - 1200 = $195

how many months until that sums up to $48 750 ?

by checking how often $195 fit into $48,750 :

48750 / 195 = 250

so, it will take 250 months to reach that level.

The circumference of the table is 9.42 feet

The circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle, as if it were opened up and straightened out to a line segment. More generally, the perimeter is the curve length around any closed figure.

For a example a circular ball with diameter 7 cm will have a circumference of 44cm

The circumference of a circle is expressed as:

C = πd

C = 3.14 ×3

C = 9.42 feet

Therefore the circumference of the table is 9.42 feet.

learn more about circumference of a circle from

https://brainly.com/question/18571680

#SPJ1

Answer:

Step-by-step explanation:

2a) [tex]y=2(1.2^{x})[/tex] where x is the amount of lies he told

2b) His nose will be approximately 76.68 inches long after telling 20 lies

2c) No, No.

:]

Answer:

2a)  where x is the amount of lies he told

2b) His nose will be approximately 76.68 inches long after telling 20 lies

2c) No, No.

Step-by-step explanation:

a) Chloe will run 105 miles in 30 days.

b) the expression total miles he ran in d days is 3.5d.

Mathematical expressions correspond of at least two figures or variables, at least one computation operation, and a statement. It's possible to multiply, divide, add, or abate with this fine operation. An expression's structure is as follows Expression( Math Operator, Number/ Variable, Math Operator)

Given:

Chloe daily route is 3.5 miles long.

So, in 30 days Chloe will run

= 30 x 3.5

= 105 miles.

b) the expression for total distance Chloe has run after d days.

= 3.5 x d

=3.5d

Learn more about expression here:

https://brainly.com/question/14083225

#SPJ9

The question attached here is in other Language whose translation is:

Chloe jogs every morning. His daily route is 3.5 miles long.

a) How far will Chloe have run after 30 days?

b) Write an expression for the total distance Chloe has run after d days.

Answer:

x > 20 is the answer.

Good luck.

Answer:

7 and 45

Step-by-step explanation:

First one is 7

Second one is 45

Rule is y = 5x

Answer:

the x (input ) is by 8

Step-by-step explanation:

rule by 5

since the triangles are equivalent we can set both the equations with an equal sign

2x-15=x+15

solve for x

2x-x=15+15

x=30

plug in x into 2x-15 to get an angle of triangle ABC

2(30)-15

x=45

then to get the last angle of triangle ABC we do

180-(90+45)

= 45

to get the other triangle's (DFE) angles we plug in x again

into

x+15

45+15= 60

to get the last angle we do

180-(90+60)

= 30

The proved oil reserves in the globe were projected to be 1,000 billion barrels by the World Resources Institute in 1997, while the eventually recoverable reserves were predicted to be 2,000 billion barrels. 75 years old

The World Resources Institute (WRI) has offices abroad in Brazil, China, India, Indonesia, Mexico, and the United States. The organization's goal is to advance human health and wellbeing, economic opportunity, and environmental sustainability.  WRI collaborates with regional and federal governments, private businesses, publicly traded firms, and other non-profit organizations to provide services addressing challenges such as the global climate change, sustainable markets, ecosystem protection, and environmentally conscious governance.  Since the first of October 2008, WRI has maintained a Charity Navigator rating of 4 out of 4.

Learn more about World Resources Institute

brainly.com/question/27989234

#SPJ4