Write your own word problem that involves a multistep linear equation. Then translate your problem into its resulting math equation.

Answer:

Option (1)

Step-by-step explanation:

''A perpendicular bisector makes 90° with the other line segment and divides the segment into two equal parts."

From the given picture,

If [tex]\overleftrightarrow{DE}[/tex] is a perpendicular bisector of [tex]\overline{AC}[/tex] following properties must be followed.

1). m(∠DBC) = m(∠DBA) = 90°

2). AB ≅ BC

Therefore, additional information we will require is AB ≅ BC

Option (1) will be the answer.

Answer:

$70-$2x

Step-by-step explanation:

In the beginning, your friend spent $30 on interference and food, leaving him or her $70.

Since every ride costs $2, you multiply the amount of rides he rode by 2 to get how much he spent.

He subtracted that from the money he had which was $70.

Therefore, the equation is $70 - $2x

Answer:

The cube root of 1331 is 11.

Step-by-step explanation:

11 times 11 times 11 = 1331

Answer:

11

Step-by-step explanation:

=> [tex]\sqrt[3]{1331}[/tex]

We'll prime factorize it!

=> [tex]\sqrt[3]{11*11*11}[/tex]

=> [tex]\sqrt[3]{11^3}[/tex]

Since, [tex]\sqrt[3]{} = ^{1/3}[/tex]

=> [tex]11^{3*1/3}[/tex]

=> [tex]11^{3/3}[/tex]

=> [tex]11^1[/tex]

=> 11

Answer:

They both intersect eachother

Step-by-step explanation:

Answer: 1,468.5

Step-by-step explanation:

Hi, to answer this question we simply have to multiply the price of each share of stock ($19.58) by the number of shares of stock bought (75 ).

Mathematically speaking:

Price per share x number of shares = 19.58 x 75 = $1,468.5  

His purchase price was 1,468.5

Feel free to ask for more if needed or if you did not understand something.  

Answer:

  (a)  5n -300 = 1500

Step-by-step explanation:

Profit is the difference between revenue and cost.

The revenue the fundraiser will generate apparently comes only from ticket sales. At $5 each, the sale of n tickets will result in revenue of 5n dollars.

The cost the team must pay will be the sum of the cost of the DJ and the cost of the decorations. The team's total cost will be ...

  200 +100 = 300

The profit is the difference between revenue and cost. The team wants that difference to be $1500, so an appropriate equation for the number of tickets to sell is ...

  revenue - cost = profit

  5n -300 = 1500

Answer:

5n - 300 = 1,500

Step-by-step explanation:

just got it right on edge

Answer:

1/4 & 1/2

Step-by-step explanation:

4 sides to the dice

2 sides to coin

Answer:1/12

Step-by-step explanation:

The probability of getting a three on a fair die is 1/6

The probability of getting tails on an unbiased coin is 1/2

Then the probability of getting a three on a fair die and tails on an unbiased coin is 1/6 x1/2=1/12

Answer:

The distance between (-3, -4) and (6, -4) is 9 units.

Step-by-step explanation:

First, we must know the distance formula between two points.

[tex]Distance(d)=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

We will use (-3, -4) for (x₁, y₁) and we will use (6, -4) for (x₂, y₂).

[tex]Distance=\sqrt{(6-(-3)^2+(-4-(-4))^2)}[/tex]

[tex]Distance=\sqrt{(9)^2+(0)^2}[/tex]

[tex]Distance=\sqrt{81+0}[/tex]

[tex]Distance=9[/tex]

So, the distance between the two points is 9 units.

Answer: -38,686

Step-by-step explanation:

3 x 4= 12

-19 x 2037= -38,703

12 + 15= 17

17 -38,703= -38,686

Answer:

The correct option is;

A. A number line that goes from 95 to 103. A closed circle is at 98.6. Everything to the right is shaded.

Step-by-step explanation:

To represent x greater-than-or-equal-to 98.6 on the number line we note that an open circle stands for either a less than or a greater than, while an open circle stands for either less than or equal to or greater than or equal to

The correct way to represent x greater than or equal to 98.6 on the number line, we indicate the point 98.6 with a closed circle and we shade everything in the region of the solution which is to the right of the closed circle

Therefore the correct option is A. A number line that goes from 95 to 103. A closed circle at is at 98.6. Everyting to the right is shaded.

Answer:

the correct answer is A

Step-by-step explanation:

Answer:

2(x+y)

Step-by-step explanation:

Simple 5-3 with some added variables that don't change.

Answer:

0.50

Step-by-step explanation:

Simply plug -2 in for x into the equation.

2(2^-2) = 0.50

Answer:

0.50

Step-by-step explanation:

Answer:

3/10

Step-by-step explanation:

Josh and Lucy share some money in the ratio 3:7.

3+7=10

The fraction Lucy gets is 7/10

The fraction Josh must get is 3/10.

Answer:

17

Step-by-step explanation:

Plot in the points for each variable to find the y-intercept.

1=-4(4)+c

1=-16+c

1+16=c

17=c

9=-4(2)+c

9=-8+c

9+8=c

17=c

Answer:

Step-by-step explanation:

Given:

2 Points

(4,1) and

(2,9)

Slope

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

y2 = 9

y1 = 1

x2 = 2

x1 = 4

m = (9 - 1) / (2 - 4)

m = 8 / - 2

m = - 4

y intercept

y = mx + b

y = -4x + b

Use (9, 1) to find the y intercept

1 = - 4*9 + b

1 = - 36 + b

b = 37

Answer

The equation is y = - 4x + 37

Answer:

addition

Step-by-step explanation:

Answer:

7/8 of an hour

Step-by-step explanation:

Answer:

duration of movie = 3 hours 30 minutes

= 180 + 30

= 210 minutes

Lily turned of 1/4 of the way

time she spend watching

= 1/4 × 210

= 52.5 minutes

Answer:

(17,0) and (-2,19)

Step-by-step explanation:

First, find the gradient of AB, which is 1. As CD is perpendicular, its gradient will be -1. The equation of CD will be y=17-x. The x intercept is where y=0. So, that will give you x=17. When x=-2, y=19. It proves the equation right.

Answer:

20%

Step-by-step explanation:

16/80= ?/100

16 times 100 is 1600

1600 divided by 80 is 20%

hope this helps

Answer:

B. 20%

Step-by-step explanation:

16 as a percent of 80 can be written as:

16/80

Simplify the fraction using the greatest common factor 16.

16÷16/80÷16

1/5 = 0.2

1/5 as a percent is 20%.

Answer:

86° Fahrenheit

Step-by-step explanation:

F=1.8C + 32

C=30°

Plugging into the formula:

[tex]F=1.8*30+32\\F=54+32\\F=86[/tex]

The Fahrenheit for 30° Celsius using the given formula is 86° Fahrenheit.

Answer:

86 degrees

Step-by-step explanation:

Answer:

x = 37 degrees

Step-by-step explanation:

Let the unknown angle be x

So,

Tan x = [tex]\frac{opposite}{Adjacent}[/tex]

Opposite = 3, Adjacent = 4

Tan x = [tex]\frac{3}{4}[/tex]

Tan x = 0.75

x = [tex]tan ^{-1} 0.75[/tex]

x = 37 degrees

Step-by-step explanation:

(-2)-(+15)=(-17)

the difference between those two temperature s is (-17)

Answer:

If a is negative or zero  there are no real solutions

Step-by-step explanation:

y=ax^2-8

Set equal to zero to find the solution

0 =ax^2-8

Add 8 to each side

8 = ax^2

Divide by a  a cannot be zero or we cannot divide by it

8/a = x^2

Take the square root of each side

sqrt(8/a) = sqrt(x^2)

We need 8/a to be positive for it to have real solutions

That means a has to be positive

If a is negative or zero  there are no real solutions

Answer:

[tex]x=\frac{12}{7} \\y=\frac{12}{5} \\z=-12[/tex]

Step-by-step explanation:

Let's re-write the equations in order to get the variables as separated in independent terms as possible \:

First equation:

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

Second equation:

[tex]\frac{xz}{x+z} =2\\xz=2\,(x+z)\\\frac{1}{2} =\frac{x+z}{xz} \\\frac{1}{2} =\frac{1}{z} +\frac{1}{x}[/tex]

Third equation:

[tex]\frac{yz}{y+z} =3\\yz=3\,(y+z)\\\frac{1}{3} =\frac{y+z}{yz} \\\frac{1}{3}=\frac{1}{z} +\frac{1}{y}[/tex]

Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":

[tex]1=\frac{1}{y} +\frac{1}{x} \\-\\\frac{1}{3} =\frac{1}{z} +\frac{1}{y}\\\frac{2}{3} =\frac{1}{x} -\frac{1}{z}[/tex]

Combine this last expression term by term with the reduced equation 2, and solve for "x" :

[tex]\frac{2}{3} =\frac{1}{x} -\frac{1}{z} \\+\\\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\ \\\frac{7}{6} =\frac{2}{x}\\ \\x=\frac{12}{7}[/tex]

Now we use this value for "x" back in equation 1 to solve for "y":

[tex]1=\frac{1}{y} +\frac{1}{x} \\1=\frac{1}{y} +\frac{7}{12}\\1-\frac{7}{12}=\frac{1}{y} \\ \\\frac{1}{y} =\frac{5}{12} \\y=\frac{12}{5}[/tex]

And finally we solve for the third unknown "z":

[tex]\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\\\\frac{1}{2} =\frac{1}{z} +\frac{7}{12} \\\\\frac{1}{z} =\frac{1}{2}-\frac{7}{12} \\\\\frac{1}{z} =-\frac{1}{12}\\z=-12[/tex]

Answer:

x ≈ 8.0

Step-by-step explanation:

Using the cosine ratio in the right triangle

cos37° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] ( multiply both sides by 10 )

10 × cos37° = x , thus

x ≈ 8.0 ( to the nearest tenth )

The value of the x is 8 units after applying the cos ratio, which is the ratio of the side adjacent to angle to hypotenuse.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have a right angle triangle shown in the picture.

As we know, the cos is the ratio of the side adjacent to angle to hypotenuse.

cos37 = x/10

x = 10cos37

x = 10(0.79)

x = 7.9 ≈ 8 units

Thus, the value of the x is 8 units after applying the cos ratio, which is the ratio of the side adjacent to angle to hypotenuse.

Learn more about the right angle triangle here:

brainly.com/question/3770177

#SPJ5

Answer:

79

Step-by-step explanation:

       78

         ---------

7 |       62 03 

          49

         ----------

148 |   13 03

          11 84

         -----------

            19

         -----------

78^2 = 6084.

We observe that 78^2 < 6203.

79^2 = 6241.

We observe that 79^2 > 6203.

Hence the number to be added to 6203 is 6241 - 6203 = 38.

6203 + 38 = 3241

                  = 79 * 79

                  = 79.

Therefore 38 should be added to 6203 to obtain a perfect square.

Answer:

simplest Form (fractions) A fraction is in simplest form when the top and bottom cannot be any smaller, while still being whole numbers.

Step-by-step explanation:

To simplify a fraction: divide the top and bottom by the greatest number that will divide both numbers exactly (they must stay whole numbers). hope this helps you :)

Answer:

-8r/s

Step-by-step explanation:

r /s - 9r /s

The denominator is the same so subtract the numerators

r - 9r

-8r

Put this back over the denominator

-8r/s

Answer:

b = 40

Step-by-step explanation:

Let b= brownies made

b* 2/5 = brownies left over

b*2/5 = 16

Multiply each side by 5/2

b * 2/5 *5/2 = 16*5/2

b = 40

Answer:

40

Step-by-step explanation:

.4/.4 is 1 so 16/.4 is 40

Answer: -3 and 7

Step-by-step explanation:

x - 7

Add 7 to get 0

x - 7 ( + 7) = 0

x + 3

Subtract 3 to get 0

x + 3 ( - 3) = 0

Answer:

The angle [tex]\theta[/tex] measures approximately [tex]28.81^o[/tex]

Step-by-step explanation:

Since this problem involves the finding of an angle in a right angle triangle for which we know the opposite side and the adjacent side, the trigonometric function that relates them is the tangent:

[tex]tan(\theta)=\frac{opposite}{adjacent}[/tex]

Then, for our case we get a starting equation that reads:

[tex]tan(\theta)=\frac{opposite}{adjacent} \\tan(\theta)=\frac{7.7}{14}[/tex]

and for which we need to solve for [tex]\theta[/tex]. Then we use the arctangent function to get the final answer:

[tex]tan(\theta)=\frac{7.7}{14} \\\theta=arctan(\frac{7.7}{14})\\\theta= 28.81^o[/tex]