A pyramid is made above a cuboid with measure 90cm×50cm×225cm. If the height of the pyramid including cuboid is 240cm, find the total volume.​

9514 1404 393

Answer:

  x = -5/2

Step-by-step explanation:

The equation ...

  [tex]\dfrac{1}{4}x=-\dfrac{5}{8}[/tex]

is a "one-step" linear equation. It has a variable term on one side of the equal sign and a constant term on the other sided of the equal sign. It is solved by multiplying both sides of the equation by the reciprocal of the coefficient of the variable. The variable coefficient is 1/4, so you multiply by the reciprocal of that, 4. Multiplying by this value causes the coefficient of the variable to become the multiplicative identity element, 1. Both sides of the equation are multiplied by this value in accordance with the multiplication property of equality. That way, the variable value is not changed. Then the equation becomes ...

  [tex]\dfrac{4}{4}x=-\dfrac{5\cdot4}{2\cdot4}\\\\x=-\dfrac{5}{2} \qquad\text{simplified}[/tex]

After simplifying the coefficient and the constant, the solution is found to be x = -5/2, or x = -2 1/2.

Your goal is to isolate the x. This is a multiplication problem, so use the inverse operation, which is division. Divide both sides of the equation by

1

4 by multiplying by the reciprocal, 4. (−

5

8)(4) is −

5

2. Use substitution to check the answer. x = −

5

2

Answer:

16

Step-by-step explanation:

[tex]\sqrt{121}[/tex] + [tex]\sqrt[3]{125}[/tex]

= 11 + 5

= 16

The record set on January 7th in relation to the sea level is calculated as [tex]24,000[/tex] feet.

The term "not real" or "non-real" refers to imaginary and unreal numbers. The number line cannot display non-real numbers. A "actual" and practical idea, infinity. Infinity, on the other hand, is not a number on the real number line since it is not a part of the mathematically defined set of "real numbers." When measuring continuously fluctuating quantities like size and time, real numbers are utilized.

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Answer: five is < than 5.4

Answer:

A)3(2x²-x+4)

Step-by-step explanation:

The amount of 10% alcohol solution in 50 ml alcohol solution is 30ml and amount 15% alcohol solution is 20ml.

In the given question

Bruce wants to make 50ml solution with 12 % concentration.

and he has 10% and 15% alcohol solution for that .

Let the amount of 10% alcohol solution = x

Let the amount of 15% alcohol solution = y

Given that x+y=50    ...(i)

According to the question the equation to find the 10% solution will be

0.10x + 0.15(50 – x) = 0.12(50)

Solving further we get

0.10x + 7.5 - 0.15x = 6

-0.05x + 7.5 = 6

-0.05x = 6 - 7.5

-0.05x = -1.5

x = -1.5/-0.05

x=30

So , 10% solution is 30 ml

Substituting the value of x=30 in equation (i)  we get

30 + y = 50

y = 20

So , 15% solution is 20 ml

Therefore , the amount of 10% alcohol solution in 50 ml solution is 30ml and amount 15% alcohol solution is 20ml.

The given question is incomplete , the complete question is

Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.

How much of the 10% alcohol solution should Bruce use?

How much of the 15% alcohol solution should Bruce use?

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Answer:

it is equal to it

Step-by-step explanation:

4 times four is sixteen four times five means that it if four fifths

Answer:

4

Step-by-step explanation:

Did it on edgeunity! Gl

The possible number of person is 5.

Linear equation: an equation in which there is only one variable present. It is of the form Ax + B = 0, where A and B are any two real numbers and x is an unknown variable that has only one solution

Let,

The total amount of coffee= c

The total amount of milk = m

Total number of person = p

according to the question, c and m can't be .

Given,

Total amount of milk and coffee is 8 oz.

so,

[tex]\frac{c}{4} +\frac{m}{6} =8\\[/tex]

[tex]\frac{3c+2m}{12} =8[/tex]

So, this is linear equation.

3c+2m=8×12

[tex]$$ \\$3 \mathrm{c}+2 \mathrm{~m}=96$[/tex]

and

[tex]\eq[/tex][tex]c+m=8p[/tex]

2(c+m) = 8p×2

[tex]2c+2m=24p[/tex] ...(2)

By equation 1 and 2

[tex]3c+2m=96\\ 2m=96-3c\\ 2c+2m=16p\\ 2c+96-3c=16p\\96-c=16p\\96=16p+c\\[/tex]

16p and 96 both are divisible by 16

So, let c =16k

Now 3c+2m =96

3(16k) +2m= 96

48k =2m= 96

k can't be 0, otherwise c is 0 and k cannot be 2, otherwise m is 0. Therefore k must be 1,

[tex]48+2m=96\\2m=96-48\\2m=48\\m=\frac{48}{2} \\m=24[/tex]

BY putting m=24 in equation (1)

[tex]3c+2m=96\\3c+2(24)=96\\3c+48=96\\3c=96-48\\3c=48\\c=\frac{48}{3} \\c=16[/tex]

Therefor, the number of person is 5

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Answer:

31%

Step-by-step explanation:Ive got no idea why, I just know the answer lol.

Answer:

The only line there that is parallel to x = 8 is x = 7.

Answer: wow thats a lot of questions

Step-by-step explanation:

Answer:

I'll try to do my best man, with all of my warnings

Step-by-step explanation:

Answer:

y = (-13/11)x - 5/11

Step-by-step explanation:

Where's the list of equations from which you're to choose?

The line that connects points (-8 ,9) and (3, -4) has the following slope:

          9 - (-4)

m = ----------------- = -13/11

          -8 - 3

Then the new line with this slope is y = (-13/11)x + c

and because (-8, 9) satisfies this equation, 9 = (-13/11)(-8) + c, and we need to calculate c from this.                                 9 = 104/11 + c, or

                                                                        -c = 104/11 - 99/11, or - 5/11

Then the desired equation is y = (-13/11)x - 5/11

Answer:

w ≤ 593

Step-by-step explanation:

Missing option;

w ≥ 593

w > 593

w ≤ 593

593 < w

Explanation:

w ≥ 593    No

Number of wrapping paper sold never be more than 593.

w > 593    no

Number of wrapping paper sold never be more than 593.

w ≤ 593  yes

Number of wrapping paper sold will be equal or less than 593.

The graph of a system of inequalities that represents this scenario will be A. On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 4) and (2, negative 2). Everything below and to the right of the line is shaded.

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions.

On one day, x, the outside temperature never fell below 1°. A automobile was always at least 4 degrees warmer inside than it was outdoors.

y -1 is the inequality for the first line.

Y > x + 4 is the inequality that represents the second line.

The darkened area is therefore above the first line, which is a solid horizontal line.

The shaded area lies above and to the left of the second line, which has a broken line and a positive slope.

Therefore, the correct option is A.

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Answer:

-4/5

Step-by-step explanation:

Since theta is in quadrant II, we can visualize a triangle with two acute angles at (0,0) and (-x, 3). The distance between the two acute angles is 5 (hypotenuse), so using the Pythagorean Theorem, x = sqrt(5^2 - 3^2) = sqrt(16) = 4. Therefore the hypotenuse is 5, opposite is 3, and adjacent is -4.

COS = ADJ/HYP = -4/5

Answer:

[tex]\cos \theta =-\frac{4}{5}[/tex]

Step-by-step explanation:

We are given:

[tex]\sin \theta =\frac{3}{5}[/tex]

Then

[tex]\cos^{2} \theta =1-\sin^{2} \theta[/tex]

         [tex]= 1 - (\frac{3}{5} )^2[/tex]

         [tex]= 1 -\frac{9}{25}[/tex]

Then

[tex]\cos^{2} \theta =\frac{16}{25}[/tex]

Then

[tex]\cos \theta =\sqrt{\frac{16}{25} }\ \ \text{or}\ \ \cos \theta =-\sqrt{\frac{16}{25} }[/tex]

We know that θ is in Quadrant 2.

Then  cos θ < 0.

Therefore

[tex]\cos \theta =-\sqrt{\frac{16}{25} }[/tex]

        [tex]= -\frac{4}{5}[/tex]

Answer:

D. y = 2x + 3

Step-by-step explanation:

[tex]y - 5 = 2(x - 1) \\ \\ y - 5 = 2x - 2 \\ \\ y = 2x - 2 + 5 \\ \\ y = 2x + 3[/tex]

Step-by-step explanation:

-and -are + and + and - are -

u can do it

Multiply commission percentage by sales and add to the salary.

1200 x 0.045 = 54

325 + 54 = 379

Total made = $379

Answer:

d

Step-by-step explanation:

18 always still have the same amount of money

Answer:

£60

Please vote for Brainliest and I hope this helps!

Answer:

When point A with coordinates (0, -1) is reflected across the x-axis and mapped onto point A', the coordinates of A' will be (0, 1).

i.e A'(0, 1) is the image of point A after a reflection.

Hence, point A is reflected across the x-axis.

Step-by-step explanation:

When we reflect a point A across the x-axis, the value of 'y' gets negated, but the value of 'x' remains unchanged.

In other words, when point P with coordinates (x, y) is reflected across the x-axis and mapped onto point P', the coordinates of P' will be (x, -y).

Thus, the rule is:

P(x, y) → P'(x, -y)

Thus, when point A with coordinates (0, -1) is reflected across the x-axis and mapped onto point A', the coordinates of A' will be (0, 1).

i.e A'(0, 1) is the image of point A after a reflection.

Hence, point A is reflected across the x-axis.

If the store sold 52 apples total and 20 of the  apples they sold were red, then the ratio of green apples sold to red apples sold is 8:5

Given,

The total number of apples sold in the morning= 52 apples

Number of red apples sold = 20 apples

Number of green apples sold = Total number of apples sold -  Number or red apples sold

Then,

Number of green apples sold = 52-20=32

The ratio of green apples sold to red apples sold = 32:20

We have find the simplest form

[tex]32:20= \frac{32}{20}[/tex]

Then, divide both numerator and denominator by 4

[tex]\frac{32}{20}=\frac{8}{5}[/tex]

The ratio = 8:5

Hence, if the store sold 52 apples total and 20 of the  apples they sold were red, then the ratio of green apples sold to red apples sold is 8:5

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Answer:

1x-7.875 *is les than symbol* 0.375

Step-by-step explanation:

Answer:

400

Step-by-step explanation:

EE

Sports its in the game

Answer:

its c

Step-by-step explanation:

took the test

Karen performed a transformation of (C) counterclockwise rotation of 90 degrees about origin

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is at A'(-y, x).

Parallelogram ABCD has vertices at A(-4,-1) , B (-7,-6) , C (-14, -6) , D(-11, -1), if it is rotated 90° counterclockwise about the origin, the new point would be at A'(1.-4) , B'(6.-7),  C'(6.-14) , D'(1.-11)

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Answer:

π 3.142?

Step-by-step explanation:

Answer:

I-11I

Step-by-step explanation:

To find the distance between two numbers, find the absolute value of each number and add them together.

I-11I = 11

I0I = 0

11 + 0 = 11

Answer:

Hope this helps!

Step-by-step explanation:

The answer is 11. To find the distance between two numbers, find the absolute value of each number and add them together.