A box of light fixtures cost $43 if you had $600 and I bought is moving boxes as you could how much money would you have left

Answer:

Step-by-step explanation:

Two points A and B are given

Using two point formula for straight lines we get

[tex]\frac{x+6}{8+6} =\frac{y-4}{9-4} \\5(x+6) = 14(y-4)\\5x+30 = 14y-56\\5x-14y+86 =0[/tex]

b) A line parallel to AB would be of the form

5x-14y +k=0

Since the line passes through (14,-6) substitute to get k

5(14)-14(-6)+k=0 Or k = -154

Line is 5x-14y-154 =0

c) A line perpendicular to AB would have form as

14x+5y =k1

Substitute (-5,-10) to get k

14(-5)+5(-10) =k1

Or k1 = -120

Hence equation is 14x+5y = -120

Answer:

There are 400 people in the group

Step-by-step explanation:

people with brown eyes = people * percentage with brown eyes

We know that 65 percent have brown eyes

There are 260 people with brown eyes.

We are looking for people

260 = people * .65

Divide each side by .65

260/.65 = people

400= people

Answer:

55

Step-by-step explanation:

Add from left to right

1+2+3+4+5+6+7+8+9+10

3 +3+4+5+6+7+8+9+10

6+4+5+6+7+8+9+10

10+5+6+7+8+9+10

15+6+7+8+9+10

21+7+8+9+10

28+8+9+10

36+9+10

45+10

55

Answer: There are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

Step-by-step explanation:

Since we have given that

Total number of students and teachers = 409

Let the number of vans be x

Let the number of buses be x+5

Number of students and teachers each bus transported = 55

Number of students and teachers each van transported = 12

According to question,

[tex]55(x+5)+12x=409\\\\55x+275+12x=409\\\\67x=409-275\\\\67x=134\\\\x=\frac{134}{67}\\\\x=2[/tex]

Total number of students and teachers who rode to the zoo in buses will be

[tex]55(x+5)\\\\=55(2+5)\\\\=55\times 7\\\\=385[/tex]

Total number of students and teachers who rode to the zoo in vans will be

[tex]12x\\\\=12\times 2=24[/tex]

Hence, there are 385 students and teachers who rode to the zoo in buses and 24 students and teachers who rode to the zoo in trains.

To find the total number of students and teachers who rode to the zoo in buses, we need to determine the number of buses and multiply it by the number of students and teachers each bus transported. Each bus transported 55 students and teachers, while each van transported 12. By solving the equation using the given information, we can find the total number of students and teachers in each type of vehicle.

To find the total number of students and teachers who rode to the zoo in buses, we need to determine the number of buses and multiply it by the number of students and teachers each bus transported.

Let x be the number of vans.

Since there were 5 buses more than vans, the number of buses can be represented as x + 5.

Each bus transports 55 students and teachers, so the total number of students and teachers in buses is (x + 5) * 55.

Each van transports 12 students and teachers, so the total number of students and teachers in vans is x * 12.

Since there were a total of 409 students and teachers, we can create an equation: (x + 5) * 55 + x * 12 = 409.

Solving this equation will give us the value of x, which represents the number of vans. Once we know x, we can calculate the total number of students and teachers who rode to the zoo in buses and vans.

Expand

4x - 28 = 0.3x + 0.6 + 2.11

Simplify 0.3x + 0.6 + 2.11 to 0.3x + 2.71

4x - 28 = 0.3x + 2.71

Add 28 to both sides

4x = 0.3x + 2.71 + 28

Simplify 0.3x + 2.71 + 28 to 0.3x + 30.71

4x = 0.3x + 30.71

Subtract 0.3x from both sides

4x - 0.3x = 30.71

Simplify 4x - 0.3x to 3.7x

3.7x = 30.71

Divide both sides by 3.7

x = 30.71/3.7

Simplify 30.71/3.7 to 8.3

x = 8.3

Answer:

C

Step-by-step explanation:

f(x) = ∛(x-1) has a positive slope everywhere. Graphs A, C, D all have f(x) properly shown.

g(x) = f(-x), so is a reflection of f(x) across the y-axis. Only graph C shows this properly.

Answer:

The answer is C (my colors are reversed)

Step-by-step explanation:

I would never have been able to guess the syntax of this question (that it was a cube root for one thing) and am posting my answer only so you can choose the answer of SQDF as Brainliest.

Having found out the syntax, Desmos can reproduce the graph and that will give you the answer.

Red: f(x) = cube root(x - 1)

Blue: g(x) = cube root(-x - 1)

Answer:

6.24 feet (to nearest hundredth)

Step-by-step explanation:

Use the Pythagoras Theorem:-

20^2 = x^2 + 19^2     where x = height of the loading dock.

x^2 = 20^2 - 19^2 =  39

x =  √39

= 6.2449 feet

The height of the loading dock is found to be approximately 6.24 feet.

To solve this problem, we will use the Pythagorean theorem, which is applicable when we have a right triangle. The theorem states:

a² + b² = c²

Here:

a is the height of the loading dock (which we need to find).

b is the base of the ramp (19 feet).

c is the length of the ramp (20 feet).

We can set up the equation as follows:

a² + 19² = 20²

a² + 361 = 400

a² = 39

a = √39 ≈ 6.24 feet

Thus, the height of the loading dock is approximately 6.24 feet.

Answer:

9.2 hours for the total drive

To determine how long it took for an object to travel 230 miles at 25 miles per hour, divide the distance by the speed, which results in 9.2 hours.

This problem is a straightforward application of the formula for calculating time when distance and speed are known. The formula is Time = Distance ÷ Speed.

In this case, the distance (d) is 230 miles and the speed (v) is 25 miles per hour. Using the formula:

Therefore, it took 9.2 hours for the object to travel a distance of 230 miles at a speed of 25 miles per hour.

Answer:

The answer is B!

Step-by-step explanation:

The equation and the equation from scenario B are both, when simplified, g = 9.

Answer:

Option B matches the equation

Step-by-step explanation:

Equation: 34 = g + 25

A:Since we are given that The temperature on Monday was 25 degrees below zero So, in given equation there should be -25 in place of 25

So, It does not matches the equation

B: The year before, when the students were in seventh grade, there were 25 students.

Let g be the no. of students added  between seventh and eighth grade

So, Total students = 25+g

We are given that  The eighth-grade class has 34 students.

So, equation becomes : 34=g+25

It matches the equation.

C :A person bikes 34 miles on Monday

He bikes 25 miles on Tuesday.

So, Total miles =25+34

So, It does not matches the equation

D: Jack has 25 marbles.

Mary gives him 34 marbles.

Total marbles = 25+34

So, It does not matches the equation

Hence Option B matches the equation

Answer:

option B

Given : |x + 4| < 5

A. –5 > x + 4 < 5

B. –5 < x + 4 < 5

C. x + 4 < 5 and x + 4 < –5

D. x + 4 < 5 or x + 4 < –5

In general , |x|< n where n is positive

Then we translate to -n < x < n

|x + 4| < 5

5 is positive, so we translate the given absolute inequality to

-5 < x+4 < 5

So option B is correct

Answer:

it will take 15 weeks for Nancy’s account to have TWICE as much money as Fred’s account

Step-by-step explanation:

Fred brown and his sister, Nancy, each have $15 in the bank

Initially both Fred and Nancy have $15

Every week Nancy plans to add $3 to her account

Let 'n' be the number of weeks she plans to add in her account

for 1 week, $3

For n weeks , its 3n

So amount of money in Nancy's account after 'n' weeks = 15 + 3n

Fret plans to add $1 to his account each week

for 1 week, $1

For n weeks , its 1n

So amount of money in Fred's account after 'n' weeks = 15 + 1n

Now we need to find out 'n' when

Nancy's account = 2 times of Fred's account

15 + 3n = 2(15+1n)

Distribute 2 inside the parenthesis

15 + 3n = 30 + 2n

Subtract 2n on both sides

15 + n = 30

Subtract 15 on both sides

n = 15

Hence, it will take 15 weeks for Nancy’s account to have TWICE as much money as Fred’s account

Answer:

86

Step-by-step explanation:

Subtract 322 from 408

8-2=6

we cant subtract 2 from zero so we take 1 from the next

10-2=8

3-30

86

Hope this helps! (Brainliest please!)

Answer: h = -16t^2 + 120t + 2

let's say Artaud's age is "x", its opposite will then be -x, so

[tex]\bf \stackrel{\textit{opposite of his age plus 40}}{-x+40}~~\stackrel{is}{=}~~28\implies -x+40-28=0 \\\\\\ -x+12=0\implies \boxed{12=x}[/tex]

Answer:

12 years old

Step-by-step explanation:

28 - 40 = -12

Note that -12 is the opposite of 12.

Artaud is 12

Answer:

B. 51 in²

Step-by-step explanation:

π14²= 615.752160104 (find total circle area)

30/360= 1/12 (calculate fraction size the section would be of the entire circle)

615.752160104/12= 51.3126800087 (the slice's area)

Answer:

51

Step-by-step explanation:

[tex]-3x+2y=11\qquad\text{add 3x to both sides}\\\\2y=3x+11\qquad\text{divide both sides by 2}\\\\y=\dfrac{3}{2}x+\dfrac{11}{2}\\\\for\ x=1\to y=\dfrac{3}{2}(1)+\dfrac{11}{2}=\dfrac{3}{2}+\dfrac{11}{2}=\dfrac{14}{2}=7\to(1,\ 7)\\\\for\ x=-3\to y=\dfrac{3}{2}(-3)+\dfrac{11}{2}=-\dfrac{9}{2}+\dfrac{11}{2}=\dfrac{2}{2}=1\to(-3,\ 1)\\\\for\ x=-5\to y=\dfrac{3}{2}(-5)+\dfrac{11}{2}=-\dfrac{15}{2}+\dfrac{11}{2}=-\dfrac{4}{2}=-2\to(-5,\ -2)[/tex]

Answer:

3.3

Step-by-step explanation:

To find the amount of gasoline when Deborah's tank is 1/4 full, divide the tank's full capacity (13.2 gallons) by 4, which results in 3.3 gallons of gasoline in the tank at 1/4 full.

To find out how many gallons of gasoline Deborah's car has when the tank is 1/4 full, we need to calculate 1/4 of the total capacity of the tank. Since the tank holds 13.2 gallons when full, the amount of gasoline at 1/4 full is calculated as follows:

Therefore, when Deborah's gas gauge indicates that the tank is 1/4 full, it contains 3.3 gallons of gasoline.

Answer:

A 25¢ per piece

Step-by-step explanation:

To find the unit price, we take the dollar amount and divide by the number of pieces

$2.25 / 9 pieces

$.25 per piece

Your answer to 284*36 will be 10,224.Hope this helps!

Please mark brainliest!!!!!!!!