2.5 m³ of marble has a mass of 6775 kg.
3
a) Calculate the density of marble in kg/m³.
b) Find the mass of 1.9 m³ of marble in kg.

The value of three over five raised to the second power is nine over twenty-five.

From the question , we were given that three over five raised to the second power which can be interpreted as (3/5)^2 then we can find the square of the given value so that we can arise at the answer.

In this case ,  (3/5)^2 = 9/25 which implies that the value of the (3/5)^2 is been found and to calculate the value of (3/5)^2, we will need to find the square of 3 which is the numerator as well as the square of 5 which is the denominator.

Therefore, the third option is correct.

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The slope of the line is that passing through the points  (-1,-3) and (1,3) is m = 2

From the graph, we have to find the two points to find the slope of the line

The two points are (-1,-3) and (1,1)

The slope of the line m = [tex]\frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex]
Where m is the slope of the line

[tex](x_{1} ,y_{1})[/tex] are the coordinates of first point

[tex](x_{2} ,y_{2})[/tex] are the coordinates of second point

substitute the values in the equation of slope of the line

The slope of the line m =[tex]\frac{1-(-3)}{1-(-1)}[/tex]

= 4/2

= 2

Hence, the slope of the line is that passing through the points  (-1,-3) and (1,3) is m = 2

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Answer:

In a year you can shrink 0.625cm

Step-by-step explanation:

1.7/4=0.625

C) The two stores never charge the same rate as per the cost expression of store A and store B.

The each expression of store A and store B represent the total cost charged by them based on the number of items bought. The mentioned expressions will be equated when assuming their total cost to be same. Thus, equating the the expressions.

20x - 8 = 5 (4x + 4)

Performing multiplication on Right Hand Side of the equation

20x - 8 = 20x + 20

Since 20x is present on both the sides, it will be cancelled. The remaining expression will be :

8 = 20, which is a false case as 8 is not equal to 20.

Thus, the equation has no solution and hence, the two stores will never charge the same rate, no matter how many items are bought.

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Answer:

y = 10.5x + 35

Step-by-step explanation:

Since the roof is 35 feet tall, it will be the y-intercept (since it is constant). The number of floors can change, so it will be the x variable.

The final equation is y = 10.5x+35

Answer: 26

Step-by-step explanation:

If you take 26 minus 11 it gets you -15.

Number lines help a lot with negatives. You can also start with -15 and just start adding numbers starting at a large number and going up or down depending on you answer. Ex. -15 + 30 = 15, -15 + 25 = 10, -15 + 26 = 11.

Answer:

m<1 = 159° m<2 = 21° m<4 = 21°

Step-by-step explanation:

Since angle measure 3 was found, seeing that 3 and 1 are vertical angles (congruent) they equal the same, meaning angle measure 1 is also 159°. Also seeing that angle measure 3 and 2 are supplementary angles (2 or more angles that add up to 180°) subtracting 159° will give you 21°. Once again there are another set of verital angles, 2 and 4 making 4 also 21°

Answer:

5763 is the answer because 57 plus 63

Answer:

[tex]y = - \frac{5}{2} x + 4[/tex]

Step-by-step explanation:

The equation of a line in slope-intercept form is given by y= mx +c, where m is the slope and c is the y-intercept.

Start with the slope when forming the equation.

Given that the slope is [tex] - \frac{5}{2} [/tex], [tex]m = - \frac{5}{2} [/tex].

Substitute the value of m into the equation:

[tex]y = - \frac{5}{2} x + c[/tex]

The value of c can be found by substituting a pair of coordinates that the line passes through.

When x= -2, y= 9,

[tex]9 = - \frac{5}{2} ( - 2) + c[/tex]

9= 5 +c

c= 9 -5

c= 4

Thus, the equation of the line is [tex]\bf{y = - \frac{5}{2} x + 4}[/tex].

Additional:

What is a linear equation?

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Answer:

w = 3

Step-by-step explanation:

12 = 5w - w = 4w ( divide both sides by 4 )

3 = w

Answer:

w=2.4

Step-by-step explanation:

12 = 5w

Divide both sides by 5.

12/5=2.4

5/5=w

2.4=w

Equation of the first line =  [tex]y=-\frac{1}{2} x+1[/tex]

Equation of the second line = [tex]y=-\frac{5}{2} x -1[/tex]

What is the equation of the first line?

Co-ordinates of the first line (x, y) = (-2,2), (0,1), (2,0), (4,-1)

We know that,

[tex]\text{slope }=m=\frac{y_2-y_1}{x_2-x_1}\\\\= > \frac{1-2}{0+2} \\\\=-\frac{1}{2}[/tex]

The slope -intercept form of a line is given by,

y = mx + b    ---(1)

Let us substitute ( x, y )= (-2, 2) in (1)

2=(-1/2)*-2+b

2-1= b

b = 1 ----(2)

Let us substitute m and b in the slope-intercept equation (1)

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

What is the equation of the second line?

Co-ordinates of the second line (x, y)=(-4,9), (-2,4), (0,-1), (2,-6)

We know that,

[tex]\text{slope }=m=\frac{y_2-y_1}{x_2-x_1}\\\\= > \frac{4-9}{-2+4} \\\\=-\frac{5}{2}[/tex]

The slope -intercept form of a line is given by,

y = mx + b    ---(3)

Let us substitute ( x, y )= (-4, 9) in (1)

9 = (-5/2)*-4+b

2 - 1 = b

b = - 1 ----(4)

Let us substitute m and b in the slope-intercept equation (3)

[tex]y=-\frac{5}{2} x -1[/tex]

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Fraction - The distance she walked before lunch 214 / 75 miles

What is Fraction ?

A fraction, which also represents a portion of a whole, is a mathematical symbol for any number of equal parts. A fraction, such as one-half, eight-fifths, and three-quarters, indicates the number of components of a specific size when used in conversational English.

Given that,

The distance Ruby has to walk = 10/3miles

The distance left to complete before stopping = 12/25miles

The distance Ruby has to walk before lunch = 10/3 - 12/25

                                                                          = 250 - 36 / 75

                                                                          = 214 / 75miles

Hence, she walked 214 / 75 miles before lunch

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Answer:

Yes

Step-by-step explanation:

Each x-value corresponds with only one y-value.

Answer:

4

Step-by-step explanation:

Greatest Common Factor or Divisor is 4, because it is the greatest number that divides evenly into all of them.

Hope this helps! :)

For groceries to be delivered, one particular grocery store charges 3% of the whole purchase price. The total price the store charges to deliver $140 worth of groceries will be $144.20.

A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Although abbreviations "pct.", "pct.", and occasionally "pc" are also used, percent symbol, "%," is frequently used to indicate it. A % lacks dimensions and has no associated unit of measurement.

It should be mentioned that a certain grocery store charges a delivery fee equal to 3% of the entire purchase price.

Consequently, the following is the total the store will charge to deliver $140 worth of groceries:

= Percentage charged × Cost+ Cost

= 3% × $140+$140

= 0.03 × $140+$140

= $4.20+$140

The amount charged is $144.20.

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The principal plus interest which gives the amount in the account after each year are;

Simple interest is the product of the principal amount, the rate and the time of investment

The amount Brayden deposited in the savings account, P= $2,700

The interest on savings account, R = 0.3% simple interest

The simple interest formula is, I = P•R•T

The interest in the account after each year is therefore;

1st year = $2,700×0.3%×1 = $8.7

The interest in 2 years, I = 2×$8.7 = $17.4

3 years, I = $8.7 × 3 = $26.1

4 years, I = $8.7 × 4 = $34.8

5 years, I = $8.7 × 5 = $43.5

The amount in the account after each of the 5 years are therefore;

1st year, A = $2,700 + $8.7 = $2,708.7

2nd year, A = $2,700 + $17.4 = $2,717.4

3rd year, A = $2,700 + $26.1 = $2,726.1

4th year, A = $2,700 + $34.8 = $2,734.8

5th year, A = $2,700 + $43.5 = $2,743.5

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Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.

Two Angle whose sum is 180° are called supplementary angles. If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two-two angles are two pairs of supplementary angles. That means, if supplementary angles are aligned adjacent to each other, their exterior sides will make a straight line.

If ∠ 8 is supplementary to ∠ 9, then line x and y must be parallel lines wheres line s is the transverse line.

∠ 7 = ∠ 4.

Now, ∠ 7 = ∠ 2 and ∠ 4 = ∠ 9.

So, ∠ 2 = ∠ 3 {supplementary angles}

Angle 2 is supplementary to Angle 3 Because it's given that to a supplementary to 3 lines A and B are parallel by the transverse line.

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Answer:

2

Step-by-step explanation:

A perfect square is the product of a number multiplied by itself.

So, 9 would be 3 x 3 so that's a perfect square.

1 is 1 x 1, so that is a perfect square.

4 is 2x2, so that is a perfect square.

2 does not have a number that multiplies by itself to equal 2, so it is not a perfect square.

Answer:

d) 2

Step-by-step explanation:

Now we have to,

→ find which is not a perfect square.

Let's solve the problem,

→ √9 = 3

→ √1 = 1

→ √4 = 2

→ √2 = 1.415

Hence, 2 is not a perfect square.

The θ lies in the 4th quadrant of the graph.

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The expression that models Tyrell's net proceeds algebraically is d-(1.03ns + 15)  .

In the question ,

it is given that ,

Tyrell bought n shares for s dollars

So the price Tyrell paid for shares = $ ns .

Tyrell also paid 3% commission ,

so the total cost price Tyrell paid for shares = price of share + commission

total cost price = ns + 3% of ns

= ns + 0.03ns        ....as 3% = 0.03

= 1.03ns         ...(i)

Tyrell sold the stocks for d dollars .

Tyrell also paid the flat fee of $15 .

So, the selling price for stocks = d-15 ......(ii)

The Tyrell's Net Proceeds can be calculated using the formula

Net Proceeds = Selling Price - Cost price

Substituting the values of selling price and cost price from (i) and (ii) ,

we get ,

Net Proceeds = (d-15)-(1.03ns)

= d-15-1.03ns

= d-(1.03ns + 15)

Therefore , the expression that models Tyrell's net proceeds algebraically is d-(1.03ns + 15)  .

The given question is incomplete , the complete question is

Tyrell bought n number of shares for s dollars and paid a 3% commission. He sold the stock for d dollars and paid a flat fee of $15. Write an expression to model Tyrell’s net proceeds algebraically.

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Answer:

[tex]\frac{36}{49}[/tex]

Step-by-step explanation:

the pattern identified in the sequence is to add 1/49 after each step in the sequence.

When you add 1/49 to 34/49 you get 35/49, which can be simplified to 5/7.

To get the next value in the sequence just add 1/49 to 35/49, which equals 36/49.

this answer can not be simplified further.

Answer:

45°

Step-by-step explanation:

Given:

To Find:

Concept used:

Using the above concept, we have

5x + 15 + 3x + 3x = 180

11x = 165

x = 165/11

x = 15

So, 3x = 3*15 = 45°

So, the measure of base angle is 45°

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\qquad \tt \rightarrow \:Base \:\: Angle=3x = 45° [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

Property of Triangle : sum of all interior angles of a triangle is 180°

[tex]\qquad \tt \rightarrow \: 5x + 15 + 3x + 3x = 180[/tex]

[tex]\qquad \tt \rightarrow \: 5x + 3x + 3x + 15 = 180[/tex]

[tex]\qquad \tt \rightarrow \: 11x = 180 - 15[/tex]

[tex]\qquad \tt \rightarrow \:11 x = 165[/tex]

[tex]\qquad \tt \rightarrow \: x = 165 \div 11[/tex]

[tex]\qquad \tt \rightarrow \: x = 15[/tex]

Value of x is 15°, base angle is 3x :

[tex]\qquad \tt \rightarrow \: base \: \: angle = 3x = 3 \times 15 = 45 \degree[/tex]

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Answer:

x = 31

Step-by-step explanation:

87=2x-25

-25 on each side

62=2x

divide each side by 2

31=x

x=31

The ratio is 3:5 .

The problem we are dealing with is related to the term ratio, where the ratio is characterized as the comparison of two quantities of the same units that shows how much of one amount is present within the other amount. Ratios can be classified into two sorts. One is part to part ratio and the other is part to whole ratio. The part-to-part ratio indicates how two distinct entities or groups are related. whereas, the part-to-whole proportion indicates the relationship between a particular group to an entirety.The situation we are given is that the player attempted 15 baskets in a game and out of  9 was the number of times he made the attempted baskets.We just need to find the ratio of the number of baskets made to the number of  baskets attempted,

= 9:15

Here we divide each by 3

= 9/3: 15/3

=3:5

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Answer:

A

Step-by-step explanation:

On a number line, I would start at 32 and then go left on the number line 17 spaces.  This would land me at positive 15.

If (1, -2) is reflected over the x-axis, then the image is (1, -(-2)) = (1, 2).

If (1, -2) is reflected over the y-axis, then the image is (-1, -2).

Then, the points are image over the x-axis is (1, 2), and the image over the y-axis is (-1,-2).

Answer:

C

Step-by-step explanation:

Use the distributive property to solve.

(5a²+2a-7)(3a²-a+1)

=15a⁴-5a³+5a²+6a³-2a²+2a-21a²+7a-7

=15a⁴+a³-18a²+9a-7

6.5 units to the left of the origin, and 2 units above the origin

A coordinate plane is a surface with two dimensions made up of two number lines. It is created when the origin, the point at which the X-axis and Y-axis cross, is reached. To locate points, one uses the numbers on a coordinate grid. A coordinate plane is useful for graphing points, lines, and many other things. It serves as a map and provides clear instructions for getting from one place to another

Coordinates are a pair of numbers that identify a specific point on a coordinate plane, often known as a grid of coordinates. The ordered pair (x, y), which corresponds to the X-coordinate and the Y-coordinate, is expressed in parenthesis and is used to identify a point in a coordinate plane. Depending on where the point is in relation to the different quadrants, these coordinates may be positive, zero, or negative.

6.5 units to the left of the origin, and 2 units above the origin

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The value of 0.046138792 estimated to the nearest hundredth is 0.05 and can be expressed in the form [tex]5*10^{-2}[/tex].

This is a question of place values.

Given number:-

0.046138792

We have to estimate the given number to the nearest hundredth. Also, we have to express the answer as a single digit to power of ten.

In the given number, we can see that,

After decimal,

tenth digit is 0

hundredth digit is 4

thousandth digit is 6

and so on.

We have to limit our answer till hundredth digit.

As thousandth digit is 6 we will estimate the number as 0.05.

Now,

0.05 = 5/100

= [tex]\frac{5}{10^2} = 5*10^{-2}[/tex]

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35% more than 78?

35% of 78;

78 x .35 = 27.3

78 + 27.3 = 105.3