5x-3y=-12 in slope-intercept form

Answers

Answer 1

Answer:

Subtract 5x from both sides of the equation

-3y = 12 - 5x

Then, divide each term by -3 and simplify.

y = -4 + 5x

           ------

              3

After that, you'll do this

y= 5x

   ----- - 4

     3

Lastly, you put that into slope-intercept form.

y = 5

    ---- x - 4

     3

Answer 2
5x-3y= -12
-3y= -12 - 5x Move 5x to the right side
3y= 12 + 5x Change signs on both sides
y= 4 + 5/3x Divide both sides by 3
y= 5/3x + 4 Rewrite

y= 5/3x +4 Answer

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Related Questions

at a currency exchange,8 u.s dollars can be exchanged for 6 euros. how many euros will you receive for 1 u.s dollar

Answers

Final answer:

You will receive 0.75 euros for 1 U.S dollar.

Explanation:

In this currency exchange, you receive 6 euros for every 8 U.S dollars. To find out how many euros you will receive for 1 U.S dollar, you can set up a proportion.

Let x represent the number of euros you will receive for 1 U.S dollar. The proportion can be set up as follows: 8 U.S dollars / 6 euros = 1 U.S dollar / x euros.

Now, cross-multiply and solve for x: 8x = 6 * 1. Divide both sides by 8 to isolate x, and you will find that x = 0.75 euros.

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Dedra is making headband to sell to her friends.Each headbands requires 1 7/8 feets fabric.If dedra plans to make 14 headbands than how much fabric will she need .

Answers

Answer:

26.25 feets

Step-by-step explanation:

Given:

Each headbands requires 1 7/8 feets fabric

Dedra has to  make 14 headbands .

Question asked:

how much fabric will she need  to make 14 headbands = ?

Solution:

By applying unitary method :

Length of fabric require to make a headband = [tex]1\frac{7}{8}[/tex]

                                                                           = [tex]\frac{15}{8}[/tex]

Length of fabric require to make 14 headbands = [tex]14\times\frac{15}{8}[/tex]

                                                                                = [tex]\frac{210}{8}[/tex]

                                                                                = [tex]26.25 feets[/tex]

Therefore, Dedra needs 26.25 feets fabric to make 14 headbands.

some of Helen's plants need water every day, some need water every other day,and others need water every third day. if she waters them all today, how many days will it be before she waters them all again​

Answers

Answer:

6 days

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have to find the Least common Multiple of 1,2,3

LCM (1,2,3) = 6

2. What are the means of the following proportion?
3/15 = 12/60
A. 15 and 12
B. 3 and 15
C. 3 and 60
D. 12 and 60

Answers

Answer:

Step-by-step explanation:

A) 15 and 12

Round 75,218 to the nearest thousand

Answers

75,000

Explanation:

The 200 would round down.The 18 would round down aswell.

This results in getting the answer 75,000.

Answer:

The answer is 75,000

Step-by-step explanation:

To work this out you need to put a line after the thousand like this 75|218 Then if the numer after is 5 or above you round the number up eg 75|818 Would round to 76000

wide all along its perimeter. What is an expression for
A portrait without its frame has a height 1.5 times its width w, in inches. Its frame is 2 in wide all along its perimeter what is an expression for
the area of the framed portrait in terms of w?
O A 1.5w2 + 5w + 4
B. 1.5w? + 8w + 8
C
1.5w2 + 8,5W + 16
O
D. 1.5w2 + 10w + 16

Answers

Answer:

1.5w² + 10w + 16 sq, inches.

Step-by-step explanation:

The height of the portrait without the frame is 1.5 times its width.

Let the height is 1.5w inches and width is w inches.

Now, the frame around the portrait is 2 inches wide.

So, the dimensions of the portrait with frame are (1.5w + 4) inches by (w + 4) inches.

Therefore, the area of the framed portrait will be  

(1.5w + 4)(w + 4)  

= 1.5w² + 10w + 16 sq, inches. (Answer)

AB= 7x-6 BC= 12-2x B is the midpoint of AC. Find AB

Answers

Answer:

8

Step-by-step explanation:

set 7x-6 = 12-2x because midpoint segments are equal to each other than solve

9x-6=12

9x=18

x=2

then substitute in values.

Final answer:

B is the midpoint of AC. Using this information, we can set up an equation to solve for AB. After solving for x, we substitute the value back into the equation to find AB. The length of AB is 8 units.

Explanation:

We are given that B is the midpoint of AC. This means that the lengths AB and BC are equal. We can set up an equation to solve for AB.



AB = BC

7x-6 = 12-2x

Now we can solve for x and then find AB.



Bring like terms together:

7x + 2x = 12 + 6

9x = 18



Divide both sides by 9:

x = 2



Now substitute the value of x back into the equation for AB:

AB = 7(2) - 6

AB = 14 - 6

AB = 8



Therefore, AB is equal to 8 units.

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The following graph shows the solution to which system of inequalities?

Answers

Answer:

y ≤ 3x-4

-1 ≤ y ≤ 2

step by step explanation:

the highlighted area is situated under the line of equation y=3x-4 and respectivelybetween the two lines of equations y=-1 and y=2

Then the system of inequalities is :

y ≤ 3x-4

-1 ≤ y ≤ 2

Answer:

y ≤ 3x-4

-1 ≤ y ≤ 2

Roman purchased 2 1/2 pounds of
chocolate covered peanuts for $9.75.
What was the price per
pound?

Answers

Answer:

$3.90 is the answer.

Step-by-step explanation:

9.75 ÷ 2.5 = 39/10 (3.9).

To check do 3.9 × 2.5 = 9.75.

Final answer:

To determine the price per pound of chocolate covered peanuts, divide the total cost ($9.75) by the total weight (2.5 pounds), resulting in $3.90 per pound.

Explanation:

The question asks to calculate the price per pound of chocolate covered peanuts Roman purchased.

Here is a step-by-step explanation:

First, it is important to take note of the total weight of the chocolate covered peanuts, which is 2 1/2 pounds or 2.5 pounds.

Next, we look at the total price paid for the 2.5 pounds, which is $9.75.

To find the price per pound, divide the total price by the total weight: $9.75 ÷ 2.5 pounds.

The price per pound turns out to be $3.90.

Therefore, the price per pound of the chocolate covered peanuts is $3.90.

8 less than 5 times a number

Answers

Answer:109

Step-by-step explanation:

The inequality obtained from the given statement; 8 less than 5 times a number is 8< 5x.

What is a solution set to an inequality or an equation?

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.

Such values are called solution to that equation or inequality.

A Set of such values is called solution set to the considered equation or inequality.

Given statement; 8 less than 5 times a number

We know that the 8 is less than 5 times a number So, we first put 8 <.

From the given, we have the value 5 being multiplied by a number, that number can be any variable unless that specifically state which variable to use.

Thus, the inequality;

8< 5x

Hence, The inequality obtained from the given statement; 8 less than 5 times a number is 8< 5x.

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3 1/3 of it is 10
Find the number

Answers

Answer:

3

Step-by-step explanation:

3 times 3 is 9

1/3 of 3 is 1

add them to get 10

Answer:

3

Step-by-step explanation:

[tex]3x \times \frac{1}{3} x = 10 \\ \frac{10}{3} x = 10 \\ 10x = 30 \\ x = 3[/tex]

x-wanted number

right triangle ABC has to legs of lengths 9 cm (AB) and 12 cm (AC). what is the length of the third side (BC)?
a. 6 cm
b. 8 cm
c. 14 cm
d. 15 cm

Answers

Answer:

D. 15 cm

Step-by-step explanation:

9² + 12² = x²

81 + 144 = x²

225 = x²

√225 = x

15 = x

D is the correct answer

What is the distributive property to create an equivalent expression to 9x+21

Answers

Answer:

3(3x+7)

Step-by-step explanation:

9x+21=3(3x+7)

HELP!!! A cell phone is 132 mm long and 57 mm wide. What is ratio of the width and length in simplest form.

Answers

The ratio of width to length in simplest form is 19 : 44

Solution:

Given that, A cell phone is 132 mm long and 57 mm wide

Length of cell phone = 132 mm

Width of cell phone = 57 mm

We have to find the ratio of width and length in simplest form

[tex]\frac{Width}{Length} = \frac{57}{132}\\\\\text{Reduce to lowest terms }\\\\\frac{width}{length} = \frac{57 \div 3}{132 \div 3}\\\\\frac{Width}{Length} = \frac{19}{44}[/tex]

In ratio form, we know that,

[tex]\frac{a}{b} = a : b[/tex]

Writing in ratio form, we get

Width : length = 19 : 44

Thus the ratio of width to length in simplest form is 19 : 44


Which of the following is the best description for this pair of angles?

Answers

Answer:

Supplementary

Step-by-step explanation:

Supplementary angles add to 180 degrees.

Answer:

Supplementary

Step-by-step explanation:

VSW and TSW combine and make 180. Complementary is when they make up to 90

if angles of a triangle are 2 is to 3 is to 4 is to .find the value of each angle​

Answers

Answer:

Angles of triangle are 40°,60° and 80°.

Step-by-step explanation:

Given:

if angles of a triangle are 2 is to 3 is to 4.

Let the common factor between the angles be 'x'.

So we can say that;

Angle 1 = [tex]2x[/tex]

Angle 2 = [tex]3x[/tex]

Angle 3 = [tex]4x[/tex]

We need to find the value of each angle.

Solution:

Now we know that;

"Sum of all angles of triangle is 180°."

framing in equation form we get;

[tex]Angle \ 1+Angle\ 2+Angle \ 3 =180[/tex]

Substituting the values we get;

[tex]2x+3x+4x=180\\\\9x=180[/tex]

Dividing both side by 9 we get;

[tex]\frac{9x}{9}=\frac{180}{9}\\\\x=20[/tex]

Angle 1 = [tex]2x=2\times20=40\°[/tex].

Angle 2 = [tex]3x=3\times20=60\°[/tex]

Angle 3 = [tex]4x=4\times20=80\°[/tex]

Hence Angles of triangle are 40°,60° and 80°.

Mr Miller drove 568 miles last week. This week he drove 308 miles on Tuesday and 97 miles on Wednesday. What was the number of miles he drove in these two weeks?

Answers

The number of miles Mr Miller drive was 973 miles.

Step-by-step explanation:

Given,

Miles driven on first week = 568 miles

Miles driven on Tuesday this week = 308 miles

Miles driven on Wednesday this week = 97 miles

Total miles driven = Miles in first week + Miles on Tuesday + Miles on Wednesday

Total miles driven = 568 + 308 + 97 = 973 miles

The number of miles Mr Miller drive was 973 miles.

Keywords: addition

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SOLVE THE EQUATION




10=8h

h=?

Answers

Answer: h = 1.25

Step-by-step explanation:

divide 10 by 8 to get 1.25 or 5/4

In this question, you're solving for h.

Solve for h:

10=8h

"h" can't have a number next to it, it has to be by itself, so divide both sides by 8

1.25 = h  

Answer:

1.25 = h

What is the value of log5^{125}?

Answers

The value of [tex]\log_5{125}[/tex] is 3.

Solution:

Step 1: Given expression is [tex]log_5{125}[/tex].

125 can be expressed as [tex]5^3.[/tex]

[tex]\log_5{125}=\log_5{5}^3[/tex]

Step 2: Using log rule: [tex]\log_a{x^b}=b\log_a{x}[/tex]

 [tex]\log_5{5}^3=3\log_5{5}[/tex]

Step 3: Using log rule: [tex]\log_a{a}=1[/tex]

[tex]\log_5{5}= 1[/tex]

⇒ [tex]3\log_5{5}= 3(1)[/tex]

⇒ [tex]3\log_5{5}= 3[/tex]

∴ [tex]\log_5{125}=3[/tex]

Hence the value of [tex]\log_5{125}[/tex] is 3.

Which function represents g(x), a reflection of f(x)=4(1/2)^x
across the x-axis?

Answers

Answer:

[tex]g(x)=-4(\frac{1}{2})^x[/tex]

Step-by-step explanation:

Given:

The parent function is given as:

[tex]f(x)=4(\frac{1}{2})^x[/tex]

The function [tex]g(x)[/tex] is a reflection of the parent function about the x-axis.

Now, in order to find the function g(x), we need to use the rules of function transformations.

As per transformation rules, when a function is reflected about the x-axis, the function rule is given as:

[tex]f(x)\to-f(x)[/tex]

So, the new function or the reflected function is the negative of the original function.

Therefore, the reflected function [tex]g(x)[/tex] is given as:

[tex]g(x)=-f(x)\\\\g(x)=-4(\frac{1}{2})^x[/tex]

Hence, the function that represents the reflection of the given function across the x-axis is [tex]g(x)=-4(\frac{1}{2})^x[/tex]

3 more than twice as many oranges equals 18

Answers

7.5 x 2 = 15 + 3 = 18

Answer:

15/2

Step-by-step explanation:

2x+3=18

2x=18-3

2x=15

x=15/2

how to solve 5×743=(_×700)+(_×40)+(_×3)

Answers

Answer:

Step-by-step explanation:

5*743=(5*700)+(5*40)+(5*3)

The radius of a circle is 2 meters. What is the circle's circumference?

(Another part with the picture(Will give brainiest))

Answers

Answer:

C≈12.57

Step-by-step explanation:

The formula for circumference if 2(3.14) * r

The r represents the radius do you would just take 2 * 3.14 which is 6.28.

Next, you would take 6.28 * r (which is 2 meters) and you get 12.566, but if you're rounding it would be 12.57.

Make sure to label your answers

I hope this helped!

While visiting Crimson Lake, Sally decided to go Kayaking. The rangers charge $8.50 per hour in addition to a $25.00 deposit to rent the kayak. If she rented the kayak from 11:30 a.m. to 2:30 p.m., write and solve a linear equation to find the total cost to rent the kayak.

Answers

The total cost to rent the Kayak will be $50.50

Step-by-step explanation:

Let h be the number of hours

Given

Charges per hour = $8.50

Renting Charges = $25.00

The renting charges are constant and will be used only once while the per hour charges will be calculated as number of hours change.

The function will be written as:

[tex]f(h) = 8.50h +25.00[/tex]

Here h is the number of hours.

From 11:30 AM to 02:30 PM makes three hours. So, to find the cost for 3 hours we have to put h = 3

[tex]f(h) = 8.5(3) + 25.00\\= 25.5+25.00\\= 50.5[/tex]

Hence,

The total cost to rent the Kayak will be $50.50

Keywords: Linear functions,, slope

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A big cruise ship dropped anchor off the Caribbean island of Barbuda. The heavy anchor was released from a height of
54
5454 meters above the water's surface, and it fell at a constant rate. After
35
3535 seconds, the anchor was
9
99 meters below the water's surface.
How fast did the anchor drop?
meters per second
How long did it take the anchor to reach the water's surface?
seconds

Answers

54+9= 63 m = distance and time=35 sec hence, speed= 63/35=9/5=1.8 m/s

time taken to reach water surface= distance/speed=54/1.8=30 sec

Help i don’t understand

Answers

Answer:

VERTICAL LINES

Step-by-step explanation:

8 2/5 - 5 3/5 need help solving step by step

Answers

Answer: 2 and 4/5

Explanation: To subtract mixed numbers, first subtract the fractions. Notice here however that we have 2/5 - 3/5 which will give us a negative fraction. Since this will cause us a lot of trouble, instead, let's rewrite the first mixed number.

We can do this by thinking of 8 and 2/5 as 7 + 1 and 2/5 or 7 + 7/5 by changing 1 and 2/5 to the improper fraction 7/5. So 8 and 2/5 can be written as 7 and 7/5.

So we have 7 and 7/5 - 5 and 3/5.

Now, subtract the fractions. So we have 7/5 - 3/5 which is 4/5. Then subtract the whole numbers so we have 8 - 5 which is 2.

2 and 4/5 is in lowest terms so 8 and 2/5 - 5 and 3/5 is 2 and 4/5.

What is a point slope equation of the line with slope - 13 that goes through
the point (5,7)?
O A. y+7=-13(x+5)
O BY+5=-13(x+ 7)
OG 1-7=-13(x - 5)
O D. y-5=-13(x-7)

Answers

Answer:

C. y - 7 = -13(x -  5)  

Step-by-step explanation:

The point-slope equation for a straight line is

y - y₁ = m(x - x₁)

where m is the slope and(x₁, y₁) is a point on the line.

If m = -13 and  (5, 7) is the point, the equation is

y - 7 = -13(x -  5)

A jar contains 6 blue marbles, 4 yellow marbles, and 10 green marbles. What is the probability of randomly choosing a blue marble, replacing it, and then choosing a yellow marble?


Answers

Answer:4 out of 19

Step-by-step explanation:

you add them all and then say 4 because that is  yellows amount of marbles

Marcus loves baseball and wants to create a home plate for his house. Marcus needs to calculate the area of the home plate at the ball field so he can reconstruct it when he gets home. Calculate the area of the polygon. (5 points)

Pentagon with square measuring 7 inches by 4 inches and two triangles with heights of 6 inches and 5 inches.

Group of answer choices

50 in2

59 in2

85 in2

90 in2

Answers

Answer:

59 in2

Step-by-step explanation:

we know that

The area of the polygon is equal to the area of rectangle plus the area of two triangles

so

Find the area of rectangle

[tex]A_1=LW[/tex]

we have

[tex]L=7\ in\\W=4\ in[/tex]

substitute

[tex]A_1=(7)(4)=28\ in^2[/tex]

Find the area of triangle with height of 6 in

[tex]A=\frac{1}{2}bh[/tex]

we have

[tex]b=7\ in\\h=6\ in[/tex]

substitute

[tex]A_2=\frac{1}{2}(7)(6)=21\ in^2[/tex]

Find the area of triangle with height of 5 in

[tex]A=\frac{1}{2}bh[/tex]

we have

[tex]b=4\ in\\h=5\ in[/tex]

substitute

[tex]A_3=\frac{1}{2}(4)(5)=10\ in^2[/tex]

The total area is

[tex]A=A_1+A_2+A_3=28+21+10=59\ in^2[/tex]

Answer:

The answer is 59 in2

Step-by-step explanation:

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