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Step-by-step explanation:

there, hope it helps! :)

Answer:

x = 1/3 and x= -2

Step-by-step explanation:

-5+ and - square root 5^2 -4 times 3 times -2 which is all over 2 times 3

so square rooted 5^2-4 times 3 times -2 is 7 - -5 + and - 7 both over 2 times 3 is -5-7 divided by 2 times 3 and -5 plus 7 divided by 2 times 3 is 1/3 and -5-7 divided by 2 times 3 is -2 therefore leaving x as 1/3 and -2

Answer:

220

Step-by-step explanation:

400 x .55 = 220

Answer:

The solution to the system of equations will be:

[tex]x=0,\:y=-\frac{11}{5}[/tex]

Step-by-step explanation:

Given the expression

[tex]x - 5y = 11[/tex]

[tex]3x - 5y = 11[/tex]

solving the expression

[tex]\begin{bmatrix}x-5y=11\\ 3x-5y=11\end{bmatrix}[/tex]

Multiplying x-5y = 11 by 3:  3x-15y=33

so

[tex]\begin{bmatrix}3x-15y=33\\ 3x-5y=11\end{bmatrix}[/tex]

and

[tex]3x-5y=11[/tex]

[tex]-[/tex]

[tex]\underline{3x-15y=33}[/tex]

[tex]10y=-22[/tex]

now solving 10y = -22 for y

[tex]10y=-22[/tex]

divide both sides by 10

[tex]\frac{10y}{10}=\frac{-22}{10}[/tex]

simplify

[tex]y=-\frac{11}{5}[/tex]

For 3x-5y=11 plug in y = -11/5

[tex]3x-15\left(-\frac{11}{5}\right)=33[/tex]

[tex]3x+15\cdot \frac{11}{5}=33[/tex]

[tex]3x+33=33[/tex]

Subtract 33 from both sides

[tex]3x+33-33=33-33[/tex]

Simplify

[tex]3x=0[/tex]

Divide both sides by 3

[tex]\frac{3x}{3}=\frac{0}{3}[/tex]

Simplify

[tex]x=0[/tex]

Thus, the solution to the system of equations will be:

[tex]x=0,\:y=-\frac{11}{5}[/tex]

Answer:

168

Step-by-step explanation:

2x80 is 160 plus 2x4 is 8 160+8 is 168

Answer:

168

Step-by-step explanation:

Answer:

She gave 20% away

Step-by-step explanation:

Answer:

x=95 degrees

Step-by-step explanation:

Explanation is: Opposite interior angles are congruent. So X= 95

Answer:

Step-by-step explanation:

[tex](a*b)^{n} = a^{n}*b^{n}\\\\(a^{n})^{m} = a^{m*n}\\\\ (-5q^{2}*p)^{3}= (-5)^{3}*q^{2*3}*p^{3}\\\\= -125q^{6}p^{3}[/tex]

Answer:

-125q^6p^3

Step-by-step explanation:

put -5 in () which equals (-5) then put a 1 on top of -5 and the 3 x 1 =3 so (-5)^3 then 2x3=6 so (-5)^3q^6 then 1x3=3 so (-5)^3q^6p^3 then do (-5)^3 which equals -125 then put q^6p^3 at the end which equals -125q^6p^3

Answer:

Answer: C. 32 cm

Step-by-step explanation:

Triangle Inequality Theorem

Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:

x + y > z

x + z > y

y + z > x

Combining the above inequalities, and provided y>z, the third size must satisfy:

y - z < x < y + z

We know the triangle has two congruent angles, which means the triangle is isosceles, i.e., it has two congruent sides.

We are given two side lengths of 16 cm and 32 cm. The third side must have a length of 16 cm or 32 cm for the triangle to be isosceles.

If the third side had a length of 16 cm then the lengths would be 16-16-32. But that combination cannot form a triangle because of the condition stated above.

If y=16, z=16, and x=32 (the worst possible combination), then the inequality

0 < x < 32

wouldn't be satisfied, thus the third side cannot have a length of 16 cm and it must have a length of 32 cm

Answer: C. 32 cm

We want to find the length of the missing leg of the given triangle. We will see that the correct options are C and D.

Two angles are congruent if these have the same measure.

Then if the triangle has two congruent angles it means that the triangle must be an isosceles triangle.

We know that one side measures 16cm and the other side measures 32 cm, and this is an isosceles triangle, so it must have two equal sides.

Then the possible measures of the missing side are either 16cm or 32 cm.

So the correct options are C and D.

If you want to learn more about triangles you can read:

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Answer:

382.25

Step-by-step explanation:

Answer:

382.50

Step-by-step explanation:

Answer:

6 laps

Step-by-step explanation:

According to the scenario, calculation of the data are as follows:

Each lap = 0.25 miles

Regan's plan to run= 1.5 miles

So, we can calculate number of laps by using following formula,

Number of laps = Total miles to run ÷ each lap miles

By putting the value, we get

Number of laps = 1.5 miles ÷ 0.25 miles

= 6 laps

So, she should run 6 laps.

Answer:

n=0

Step-by-step explanation:

1-4n=1 (cancel equal terms on both sides)

-4n=0 (divide both sides of the equation by -4)

n=0

Answer:

98671

Step-by-step explanation:

Answer:

LOL

Step-by-step explanation:

sorry

Answer:

angle A + angle B = 180 degrees is correct

Step-by-step explanation:

Answer:

The perimeter of a rectangle is:

Step-by-step explanation:

Given

The width of a rectangle w =  8n - 8.5 feet

The length of a rectangle l = 8.5n + 10 feet

To determine

The perimeter of a rectangle = P = ?

The perimeter of a rectangle can be determined using the formula

[tex]P = 2(l+w)[/tex]

substitute l = 8.5n + 10 and w = 8n - 8.5

[tex]P=2\left(8.5n+10+8n-8.5\right)[/tex]

   [tex]=2\left(16.5n+10-8.5\right)[/tex]

   [tex]=2\left(16.5n+1.5\right)[/tex]

   [tex]=33n+3[/tex]

Therefore, the perimeter of a rectangle is:

question 9

a) 2 x 3 = 6m^2

b) diameter = 2m and radius = 1m

c) πr^2 is the equation, so 3.14 x 1^2 = 3.14m^2

and the semi circle is half of that, 1.57m^2

d) 6 + 1.57 = 7.57m^7

question 10

30 x 70 = 2,100m^2

πr^2 so 3.14 x 15^2 = 706.5m^2

2,100 + 706.5 = 2,806.5m^2

i hope this is correct :D

Answer:

X and Y

Step-by-step explanation:

Right triangle: a = 1/2bh

Rectangle: a = lw

Circle: a = pi*r^2

1/2*2*3 = 3

2*3 = 6

pi(1.5^2) = 7.069

Sqrt2^2 = 2

Sqrt2*2Sqrt2 = 4

2+4 = 6

figure "X" and the figure "Y" have the same amount of area.

Area is the entire amount of space occupied by a flat (2-D) surface or an object's form. On a sheet of paper, draw a square using a pencil. It has two dimensions. The area of a form on paper is the area that it occupies.

Given four figures to find the which two figures have the same area.

To calculate the area consider these mini squares to be unit squares.

For the first figure,

area of triangle = 1 /2 * base * height

In our case,

base = 2 unit

height = 3 units

Thus, area = 1/2 * 3 * 2

Area = 3 unit square

For second figure,

area of rectangle = base * height

in our case,

base = 3

height = 2

thus,

area = 3 * 2 = 6 unit squares

For  the third figure,

We will separate it into two figures one is rectangle of √2 and 2√2 sides and the other is a square of √2 side.

(Since, diagonal of the Unit square is √2 from the Pythagorean theorem)

Thus,

Area of the "Y" figure = √2 * 2 √2 + (√2)²

Area of the "Y" figure = 4  + 2

Area of the "Y" figure = 6 unit square

For the fourth figure,

Area of circle = pi * radius²

In our case,

radius = 1.5 unit

Thus,

Area = pi * 1.5*1.5

Area = 7.68 unit square

Therefore, figure "X" and the figure "Y" have the same amount of area.

Learn more about Area here:

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Answer:

8

Step-by-step explanation:

Answer:

A because if you multiply 12x6 = 72

Answer:

The correct answer is 72 pi m*3

Step-by-step explanation:

Ap3x

Answer:

D. 24.9

Step-by-step explanation:

95/382 converted to a percentage is 24.9

Answer:

D

Step-by-step explanation:

Answer: X = 300

So it would be "D"

Answer:

The slope of the graph of machine 1 is: 1/2

The slope of the graph of machine 2 is: 4/5

Step-by-step explanation:

Machine 1

Machine 1 Table is given by

Time (sec)             1         2         3         4

Amount (gal)         0.5      1        1.5       2

Taking two points

Determining the slope between any two points (1, 0.5) and (2, 1)

[tex]\left(x_1,\:y_1\right)=\left(1,\:0.5\right),\:\left(x_2,\:y_2\right)=\left(2,\:1\right)[/tex]

[tex]m=\frac{1-0.5}{2-1}[/tex]

[tex]m=0.5[/tex]

[tex]m = 1/2[/tex]

Therefore, the slope of the graph of machine 1 is: 1/2

Machine 2

Taking two points from the graph of Machine 2

Determining the between any two points (0, 0) and (10, 8)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(10,\:8\right)[/tex]

[tex]m=\frac{8-0}{10-0}[/tex]

[tex]m=\frac{4}{5}[/tex]

Therefore, the slope of the graph of machine 2 is: 4/5

Answer:

yeahh and made like the profile icon on the left hahahaha

Step-by-step explanation:

Answer:

Just combine like terms

6+2=8

4c can’t be combines

so 4c+8

Answer:162

Step-by-step explanation:

Missing value in the equation of the storage bin that gives a maximum area is 162.

" Area is the surface which represents the space occupied by any two dimensional object."

Formula used

(a -b)² =  a² -2ab + b²

According to the question we have ,

A(x) = -2x² +36x

= -2(x²- 18x)

= -2 ( x² - 18x ) + 2 (9)² - 2(9)²

= -2 (x² - 18x  + (9)²) + 2 (9)²

= -2 (x -9)² + 162

Hence  we conclude that  Option A is correct.

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