What decimal number is represented by the shaded portion of the model?

Answer:

Answer : -69

Step-by-step explanation:

-5 - 3x - x- (-16)

= -5 -3 ×(20) - 20 -( -16)

= -5 - 60 -20 +16

= -85 + 16

= -69.

Hope it helps,

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Answer: 130°

Step-by-step explanation:

Concept to know:

Linear pair: two angles that forms one line

One line: 180°

-------------------------------------------------------------

x+50=linear pair

x+50=180

     x=130°

Hope this helps!! :)

Please let me know if you have any question

Answer:

35

Step-by-step explanation:

Brianna=x

Justin=x+10

Hannah=2(x+10)

x+x+10+2x+20=130

4x+30=130

4x=130-30

4x=100

x=25

Justin =x+10 = 25+10=35

Answer:

D.

Step-by-step explanation:

p=3s

p=3(16)

p=48 pencils

Answer:

5 units

Step-by-step explanation:

Annie is located at (6,-20) and Barbara is located at (1, 14) and they meet at a point equidistant to their current locations.

This means that they have to meet at the midpoint between their two locations. Let the coordinate of the midpoint be (x,y) hence:

[tex]x=\frac{x_1+x_2}{2}=\frac{6+1}{2} =\frac{7}{2}[/tex]

[tex]y=\frac{y_1+y_2}{2}=\frac{-20+14}{2} =-3[/tex]

The point at which they met is at (7/2, -3). Charlie location is at (7/2, 2). Hence the distance upward that they have to move = 2 - (-3) = 5 units

They have to move 5 units upwards

Answer:

A B and E

Step-by-step explanation:

The statement that is true about the equation xy = 3 is:

When x = 3, y = 1.

Option B is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 3 = 8 is an equation.

We have,

xy = 3

When x = 3, y = 1

Substitute x = 3.

3 x y = 3

y = 1

This is true.

Now,

x varies directly with y.

This means,

x ∝ y

But xy = 3

x = 3/y

This is not possible.

Now,

The graph of this table would not be linear.

xy = 3

x = 1, y = 3

x = 2, y = 3/2 = 1.5

x = 3. y = 1

x = 4, y = 3/4 = 0.75

The rate of change is not the same.

So,

xy = 3 is not linear.

Thus,

When x = 3, y = 1 statement is true.

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Answer:

24%

Step-by-step explanation:

To change a decimal to a percent, all you have to do is move the decimal point 2 times to the right.

0.24 = 24%

Answer:

24%

Convert.

.24/0.24 = 24%

24% is your answer. Hope this helps.

Answer:

A

Step-by-step explanation:

Since ΔDEF has only been rotated, we know that ΔDEF ≅ ΔJKL. Using CPCTC, we can see that the answer is DF = JL which is A.

Answer:

GH=5

HI=5

IJ=5

JK=9

Step-by-step explanation:

GK=24

HJ=10

GH=HI=IJ.

Let GH, HI, IJ be x

therefore,

HI+IJ=10

=>x+x=10

=>2x=10

=>x=10/2

=>x=5

HI=IJ=GH=5

GH+HI+IJ+JK=GK

=>5+5+5+JK=24

=>15+JK=24

=>JK=24-15

JK=9

Answer:

True

Step-by-step explanation:hi

Answer:

Hey there!

The equation is y=-3/4x+6. (Note the 3/4 is negative because the line has a negative slope.

Let me know if this helps :)

Answer:

[tex]\huge \boxed{y=-\frac{3}{4}x+6 }[/tex]

Step-by-step explanation:

Two points are (0, 6) and (8, 0)

Finding the slope.

m = (y2-y1)/(x2-x1)

m = (0-6)/(8-0)

m = -6/8

m = -3/4

The y-intercept is 6.

y = mx + b

m = slope

b = y-intercept

y = -3/4x + 6

Answer:

30.2

Step-by-step explanation:

5.2 - 3y + 7

Let y= -6

5.2 -3(-6) +7

5.2 +18 +7

30.2

Just substitute and solve.

5.2 - 3(-6) + 7

5.2 - (-18) + 7

23.2 + 7

30.2

Best of Luck!

Answer:

x = 40

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

2x + x + [tex]\frac{3x}{2}[/tex] = 180 ( multiply through by 2 to clear the fraction )

4x + 2x + 3x = 360 , that is

9x = 360 ( divide both sides by 9 )

x = 40

Answer:

The coordinates of point E on CD are [tex]\left(-\frac{19}{4},5 \right)[/tex].

Step-by-step explanation:

Let be [tex]C = (-1,-5)[/tex], [tex]D = (-7,11)[/tex] and [tex]\frac{CE}{ED} = \frac{5}{3}[/tex]. The given ratio can be translated vectorially into this:

[tex]\overrightarrow {CE} = \frac{5}{3} \cdot \overrightarrow{ED}[/tex]

And let consider that each point is a vector with respect to origin:

[tex]\vec C = (-1, -5)[/tex] and [tex]\vec {D} = (-7,11)[/tex]

Then,

[tex]\vec E -\vec C = \frac{5}{3}\cdot (\vec D -\vec E)[/tex]

[tex]\vec E +\frac{5}{3}\cdot \vec E = \frac{5}{3}\cdot \vec D + \vec C[/tex]

[tex]\frac{8}{3}\cdot \vec E = \frac{5}{3}\cdot \vec D + \vec C[/tex]

[tex]\vec E = \frac{5}{8}\cdot \vec D + \frac{3}{8}\cdot \vec C[/tex]

[tex]\vec E = \frac{5}{8}\cdot (-7,11)+\frac{3}{8}\cdot (-1,-5)[/tex]

[tex]\vec E = \left(-\frac{35}{8},\frac{55}{8} \right)+\left(-\frac{3}{8},-\frac{15}{8} \right)[/tex]

[tex]\vec E = \left(-\frac{35}{8}-\frac{3}{8},\frac{55}{8}-\frac{15}{8} \right)[/tex]

[tex]\vec{E} = \left(-\frac{19}{4}, 5\right)[/tex]

The coordinates of point E on CD are [tex]\left(-\frac{19}{4},5 \right)[/tex].

Answer:

  57.95

Step-by-step explanation:

The area of the floor is (6.1 ft)(9.5 ft) = 57.95 ft². This will be the minimum that Marcus will want to purchase.

If we assume that tiles come in pieces 1 ft square, then Marcus will need a minimum of 58 square feet.

If Marcus does not want to piece together any tiles at the edges, he will want to purchase 10×7 = 70 square feet of tile.

Answer:

12 ft^2

Step-by-step explanation:

48 inches needs to be converted to ft

12 inches = 1 ft

48/12 = 4 ft

36 inches needs to be converted to ft

12 inches = 1 ft

36/12 =3 ft

Find the area

4 ft * 3 ft = 12 ft^2

Answer:

C: Radicals in the denominators of fractions are considered unsimplified. You need to multiply a fraction by a value that removes radicals or imaginary numbers in the denominator, which is the complex conjugate of the denominator.

Step-by-step explanation:

Answer:

107.500

Step-by-step explanation:

5.450.000-75.000=5.375.000

5.375.000:12 1/2=5.375.000:25/2=5.375.000*2/25=430.000

430.000:4=107.500

+ and - ,

*  and :

are inverse  operations

Where it is an operation and the result is a number , we have to do the inverse operation for finding the initial number.

verifying :

107.500*4*12 1/2+75.000=5.450.000

Answer:

x=0

Step-by-step explanation:

7x+(-7)=9x-7

Add 7 to each side

7x+(-7)7=9x-7+7

7x = 9x

Subtract 7x from each side

7x-7x = 9x-7x

0 = 2x

Divide by 2

0 = 2x/2

0 = x

Hello,

I hope you and your family are staying safe and healthy!

Answer: 0

Step-by-step explanation:

[tex]7x + (-7) = 9x - 7[/tex]

[tex]7x - 7 = 9x - 7[/tex]

Now susbtract [tex]9x[/tex] from both sides

[tex]7x -7 - 9x = 9x - 7 - 9x\\-2x - 7 = -7[/tex]

Then add 7 to both sides

[tex]-2x - 7+7=-7+7\\2x=0[/tex]

[tex]x = \frac{0}{-2} \\x = 0[/tex]

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Answer:

The total cost is $850

Step-by-step explanation:

From the function

C = 2T + 250

where

T is the number of T-shirts they purchase.

If the the shop purchases 300 T-shirts, then it means

T = 300

substituting into the function, we have

C = 2(300) + 250

C = 600 + 250

c = $850

Answer:

x=49

Step-by-step explanation:

Let's solve your equation step-by-step.

1

8

x−

49

8

=0

Answer:

x=49

Answer:

The answer is 1

Step-by-step explanation:

You replace the x with 4 making it 4-2/2=1

Answer:

I guess that you want to find the profit:

We have two equations:

the cost equation:

C(x) = -0.1*x^2 + 100.

And the selling equation, that is a vertical stretch of the cost equation by a factor of 1.4:

S(x) = 1.4*C(x) = 1.4*( -0.1*x^2 + 100.) = -0.14*x^2 + 140

Now, whit those two equations we can find the profit equation, that is defined as the difference between the selling price, and the cost:

P(x) = S(x) - C(x) = 1.4*C(x) - C(x) = (1.4 - 1)*C(x) = 0.4*C(x).

Then the profit is 0.4 times the initial cost.

P(x) = 0.4*( -0.1*x^2 + 100.) = -0.04*x^2 + 40

Answer:

D. S(C(x))= –0.14x^2+140; $108.50

Step-by-step explanation:

Cause the others are wrong

Answer:

3x^3+ 12x^2-15x

Step-by-step explanation:

First, you would have to distribute the 3x to everything in the parentheses. So you can write it out as (3x*x^2)+(3x*4x)+(3x*5). Solving this will give you the answer. We'll start off with (3x*x^2). Because we are MULTIPLYING, this part will equal to 3x^3. There is ONE x with 3x (think of it as 3x^1) and 2 x's in x^2, having a total of 3 x's, or x^3. Since the 3 is being multiplied as well, we can write it as 3x^3.

Second, we will solve (3x*4x). We are multiplying, so first we multiply 3*4 and then x*x. 3*4 is 12 and x*x is x^2.  There are 2 x's being mutipled by each other, so the x becomes squared. Now we finish and multiply 12*x^2 wich is 12x^2.

Lastly, we solve (3x*5). 3x is being multiplied 5 times which gives us 15x.

I hope this helped :)

Answer:

108

Step-by-step explanation:

There are 31 students in the pep band. One third of students in the marching band signed up, and 5 changed their mind. 31 + 5 = 36, and 36 x 3 = 108. 36 is one third of 108 and there are 108 students in the marching band.

Answer:

x=-4

Step-by-step explanation:

Filp the sign

The reflection of the line x = 4 will be x = -4.

Reflection is basically a mirror image of the shape, in which the image of a given figure changes accordingly to a given line or axis.

The given equation of line,

x = 4.

The reflection of the line x = 4 will be x = -4.

The reflected graph is shown below.

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Answer:

k = 2

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step 1: Replace variables

[tex]\frac{(k+3)-2}{3+1} =\frac{3}{4}[/tex]

Step 2: Combine like terms

[tex]\frac{k+1}{4} =\frac{3}{4}[/tex]

Step 3: Solve for k

k + 1 = 3

k = 2

Answer:

k=2

Step-by-step explanation:

The slope is 3/4

The slope formula is (y1-y2)/(x1-x2)

We can plug the values in

(2-k-3)/(-1-3)=3/4

Combine like terms

(-1-k)/-4=3/4

Cross multiply

-12= -4 - 4k

-8=-4k

k=2

Hope this helps!

Solution:

Given, x=-3, y=6 and z=-4

Putting the value in the given equation: 2z-3y+4x, we will get,

=2(-4)-3(6)+4(-3)

=-8-18-12

=-38

Answer:

0

Step-by-step explanation:

Given

a + 7(a + b) - 8(a + b) + b ← distribute both parenthesis

= a + 7a + 7b - 8a - 8b + b ← collect like terms

= a + 7a - 8a + 7b - 8b + b

= 0

Answer:

0

Step-by-step explanation:

a+7a+7b-8a-8b+b

combining like terms

a+7a-8a+b+7b-8b

8a-8a+8b-8b

0

Answer:

(2, 3)

Step-by-step explanation:

First of all, let us understand what does a linear system mean.

A linear system means a mathematical model that contains more than one linear equations.

Linear equations mean maximum power of the variable is 1.

Now, how to solve for system of linear equations.

There are two methods to solve the system:

1. From equations: A linear equation is generally written as:

[tex]Ax+By+C=0[/tex]

Two such equations are solved for the values of [tex]x[/tex] and [tex]y[/tex].

2. From Graph:

The intersecting point of the graphs of the equations is the solution of the system of linear equations.

Now, let us consider the given graph of two lines.

The intersecting point is (2, 3)

Where 2 is the value of x coordinate and

3 is the value of y coordinate.

So, solution is (2, 3)

Please refer to the attached image for the answer.

We want to see the solution of a system of equations by looking at its graph, we can see that the solution is the point (2, 3)

A system of equations is a group of equations that must be solved simultaneously. When graphed, these solutions appear as intersections between the curves that represent each equation.

So for the graphed system, the solution is just the intersection between the two lines, we can see that it happens at the point (2, 3).

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