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y is directly proportional to x.
When y = 30, x = 6
a) Work out an equation connecting y and x.
b) Work out the value of y when x = 12.

Answers

Answer 1

9514 1404 393

Answer:

  a) y = 5x

  b) y = 60

Step-by-step explanation:

a) The equation for a proportional relationship is ...

  y = kx

We can use the given values for x and y, and solve for k:

  k = y/x = 30/6 = 5

The equation is ...

  y = 5x

__

b) For x=12, the value of y is ...

  y = 5·12

  y = 60


Related Questions

There are 10 squares and 6 triangles. What is the simplest ratio of triangles to total shapes?

Answers

Answer:

3 : 8

Step-by-step explanation:

→ Find the sum of the shapes

10 + 6 = 16

→ Relate the triangles : total shapes

6 : 16

→ Divide by 2 on both sides

3 : 8

HELP SOMEONE
Steven is going to mail some gifts to his family members. This graph shows the weights of the packages.

Answers

The heaviest package is 2 (7/8) heavier than the lightest package.

What is a dot plot?

A dot plot is a simple form of data visualization that consists of data points plotted as dots on a graph with an x- and y-axis.

We have,

From the given dot plot,

we see that there is one gift that weighs 1/8 pounds which is the lightest package.

The weight of the lightest package is:

= 1/8 pounds

we see that there are 4 gifts that weigh 6/8 pounds for each gift which is the heaviest package.

The weight of the heaviest package is:

= 4 x 6/8

= 3 pounds

The difference between the weight of the heaviest package with the lightest package is:

= 3 - 1/8

= (24 - 1) / 8

= 23/8

= 2 (7 / 8) pounds

Thus the heaviest package is 2 (7/8) heavier than the lightest package.

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PLEASE HELP ASAP WILL GIVE BRAINLIST

Answers

iffx=3x−4findf1x0

Step 1: Add -3x to both sides.

f2ix+−3x=−4df2in+3x+−3x

f2ix−3x=−4df2in

Step 2: Factor out variable x.

x(f2i−3)=−4df2in

Step 3: Divide both sides by f^2i-3.

x(f2i−3)

f2i−3

=

−4df2in

f2i−3

x=

−4df2in

f2i−3

Answer:

x=

−4df2in

f2i−3

Let f(x)=3x2+2x−3. What is f(3)?

Answers

Answer:

f(3) = 30

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Function Notation

Step-by-step explanation:

Step 1: Define

f(x) = 3x² + 2x - 3

f(3) is x = 3

Step 2: Evaluate

Substitute in x:                    f(3) = 3(3)² + 2(3) - 3Exponents:                          f(3) = 3(9) + 2(3) - 3Multiply:                               f(3) = 27 + 6 - 3Add:                                     f(3) = 33 - 3Subtract:                              f(3) = 30

A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of
plates weighs 20 lbs. If x pairs of plates are added to the barbell, the total weight of
the barbell and plates in pounds can be represented by f(x)=20x+4.
What is the domain of the function for this situation?

Answers

Answer:

i would like to help you but Im not really understand the question

Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set.

(PLEASE HELP!!!)

Answers

The solution to the system of inequalities y < 2x - 8 and y > -1/2x - 3 is (2, -4)

How to solve the system of inequalities graphically?

The system of inequalities is given as

y < 2x - 8

y > -1/2x - 3

Next, we plot the system of inequalities on a graph (see attachment)

From the attached graph, we have both lines of the graph intersect at (2, -4)

Hence, the solution to the system of inequalities y < 2x - 8 and y > -1/2x - 3 is (2, -4)

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A magician's assistant makes $10.60 an hour. If he has already saved $53.70, how many hours must he work in order to save at least $165?

Answers

Answer: According to my calculations the answer is 10.5 hours

Step-by-step explanation:

please mark me brainliest

Find the unknown number in the equation 13 x 4 = n x 26. (4 points)
2
4
16
20


Will be marked as brainlist!

Answers

Answer:

2

Step-by-step explanation:

13 × 4 = 52

52 ÷ 26 = 2

13 × 4 = 2 × 26

n = 2

Solve the system.



6x - 2y + z = -2
2x + 3y – 3z = 11
х+ 6у = 31

Answers

6x - 2y + z = -2 .......... (i)2x + 3y – 3z = 11 ...........(ii)х + 6у = 31 ..............(iii)

After Multiplying 3 with the eq. (i) we will add this to eq. (ii)

[tex] \sf 18x - 6y + 3z = - 2[/tex]

[tex] \sf2x + 3y - 3z = 11[/tex]

_______________________

[tex]⇒ \sf20x - 3y = 9 \: \: .........(iv)[/tex]

After Multiplying 2 with the eq. (iv) we will add this to eq. (iii)

[tex] \sf \: x + 6y = 31[/tex]

[tex] \sf40x - 6y = 18[/tex]

_________________

[tex] \sf \: 41x = 49[/tex]

[tex]⇒ \sf \: x = \frac{49}{41} [/tex]

After putting the value of x in the eq. (iii)

[tex] \sf \frac{49}{41} + 6y = 31[/tex]

[tex]⇒ \sf6y = 31 - \frac{49}{41} [/tex]

[tex] \sf \: ⇒ 6y = \frac{1271 - 49 }{41} [/tex]

[tex]⇒ \sf6y = \frac{1222}{41} [/tex]

[tex]⇒ \sf \: y = \frac{1222}{41 \times 6} [/tex]

[tex]⇒ \sf \: y = \frac{611}{123} [/tex]

After putting the value of x and y into eq. (i)

[tex] \sf6 \times \frac{49}{41} - 2 \times \frac{611}{123} + z = -2 [/tex]

[tex]⇒ \sf\frac{294}{41} - \frac{1222}{123} + 2 = - z[/tex]

[tex]⇒ \sf \frac{882 - 1222 + 246}{123} = - z[/tex]

[tex]⇒ \sf - \frac{94}{123} = - z[/tex]

[tex]⇒ \sf \: z = \frac{94}{123} [/tex]

Hence,

[tex] \bf • \: The \: value \: of \: x = \frac{49}{41}

[tex] \bf • \: The \: value \: of \: x = \frac{49}{41} [/tex]

[tex] \bf • \: The \: value \: of \: y = \frac{611}{123}

[tex] \bf • \: The \: value \: of \: y = \frac{611}{123}[/tex]

[tex] \bf• \: The \: value \: of \: z \: = \frac{94}{123}[/tex]

Plzzzz help... due tonight

Answers

h I’m only on 6th grade go to your teacher
36 and 8 your welcome

98 x 1/10
help me out, please.

Answers

Answer:

9 4/5

Step-by-step explanation:

Answer: 9.8

Step-by-step explanation:

3x + 2y = 12 y = x - 9
solve by substitution

Answers

point form: (6,-3)
equation form: x=6, y=-3

can you help me with this.

Answers

Answer:

i cant see but yes ill comment the answer when i download the file

Step-by-step explanation:

Answer:

The answer is "y = 1/4x + 16

Step-by-step explanation:

Please help meh asap with this math problem

Answers

Answer: Checkings, Retirement, Savings

A mountain climber records her altitude and the surrounding temperature at various points as she ascends a mountain. She then plots the points on a scatter plot and draws a line of best fit. The equation of the line is y=−3.6x+59 , where x is the altitude in thousands of feet and y is the temperature in degrees Fahrenheit (°F). What does the slope of the equation represent in this scenario?

Answers

Answer:

-3.6

Step-by-step explanation:

The general equation of a straight line formula is represented as y = mx + c, where m is the gradient or slope of the line and c is called the intercept on the y-axis.

The equation of the line in the question above is y= −3.6x + 59 ,

Therefore comparing both equations together,

y = mx + c = y = −3.6x + 59

m = -3.6

Therefore, the slope of the equation represent in this scenario is -3.6

What is the slope of the line that passes through the points (6, 7) and (4, 1)?

Answers

Answer:

The answer is 3 Hope this help :)

Step-by-step explanation:(6,7) (4,1)

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{1-7}{4-6}[/tex]

[tex]\frac{-6}{-2}[/tex]

x=3

what is the domain of the square root function graphed below

Answers

Answer:

Domain is <-4,+∞)

X >= -4

Step-by-step explanation:

The algebraic expression p(x) = 3x^4 +1 can become a polynomial:

a) for any value of a, b and c
b) a + b=c
c) b=0
d) b=√2

Answers

Answer:

A polynomial p(x) in one variable x is a mathematical articulation in x of the structure p(x) = anx n + an−1x n−1 + ....... + a2x 2 + a1 x + a0, where a0, a1, a2, .... an are individually the coefficients of x 0 , x 1 , x 2 , .... x n and n is known as the level of the polynomial if a ≠ 0. Each anx n ; an−1x n−1 ; .... a0, is known as a term of the polynomial p(x)

Sarah buys a package of 500 jewelry to decorate for different pairs of jeans she uses the same number of Jewelry each pair of jeans how many jewelry well she use for each pair of jeans

Answers

When Sarah buys a package of 500 jewelry to decorate four different pairs of jeans, the number of jewelry fur each pair is 125 jewelries.

How to illustrate the information?

It should be noted that Sarah buys a package of 500 jewelry to decorate 4 different pairs of jeans and it was stated that she uses the same number of Jewelry each pair of jeans.

Therefore, it should be noted that the number of jewelry that she will use for each pair of jeans will be:

= Number of jewelry / Number of jeans

= 500 / 4.

= 125

Therefore, when Sarah buys a package of 500 jewelry to decorate four different pairs of jeans, the number of jewelry fur each pair is 125 jewelries.

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Sarah buys a package of 500 jewelry to decorate 4 different pairs of jeans she uses the same number of Jewelry each pair of jeans how many jewelry well she use for each pair of jeans

The mean number of independent-reading books read by the 4 eighth-grade students shown in the scatterplot is the same as the mean number of independent-reading books read by all 62 eighth-grade students in the school last year. In total, how many independent-reading books were read by all eighth-grade students at Wilson School during the last school year? A) 992 C) 1240 B) 1116 D) 1271​

Answers

Answer:

it is c

Step-by-step explanation:

1.83 x 108 is how many times greater than 6.1 x 105?

Answers

Answer:

1.83 x 108 is about 3 times smaller

Step-by-step explanation:

1.83 x 108 = 197.64

6.1 x 105 = 640.5

640.5/197.64 = 3.24

*4. On Saturday, a minor league baseball team gave away baseball cards to each person entering the stadium. One group received 28 baseball cards. A second group received 68 baseball cards. If each person entering the stadium received the same number of cards, what was the greatest number of baseball cards that each person could have received?

Answers

9514 1404 393

Answer:

  4

Step-by-step explanation:

The greatest common factor of 28 and 68 is 4.

  28 = 4×7

  68 = 4×17

Each person could have received 4 baseball cards.

55% of what number is 264?

Answers

Answer:

132

Step-by-step explanation:

I would go with 145.2 (145.2000)

y = ?°

i completely forgot how to do this.

Answers

The answer is Y=120

Answer:

Y=120°

Step-by-step explanation:

as you would add 33° and 87° together which gives you 120

Landon is building new bookshelves for his bookstore's new mystery section. Each shelf can hold 37 books. There are 1,221 mystery books. How many shelves will he need to build? (please help I suck at mathhhh!)

Answers

Answer:

33

Step-by-step explanation:

Landon is building new book shelves for his bookstore's new mystery section

Each of the shelf can hold 37 books

There are 1221 mystery books

Therefore the number of shelves that Landon will need to build can be calculated as follows

= 1221/37

= 33

Hence Landon needs to build 33 shelves

HELP PLEASE ILL GIVE BRAINLIEST
An agent makes 15% commission on an athlete's signing bonus. If the bonus is $25,000, what is the agent's commission?

Answers

Answer:

3750

Step-by-step explanation:

Answer:

25,000 x 0.15 =3750

Step-by-step explanation:

4cm
4cm
area -
9cm
acm
12cm
12cm
6cm
\ 14cm​

Answers

Answer:

162

Step-by-step explanation:

I started with the left I did it like a rectangle 4×12=48

because both sides are like that 48×2=96 for the middle 12-9=3 I did that because I needed to know the sides of this new rectangle so now 3×6=18 now we need to add them together to get the area 48+96+18=162

It's been a while, since I've done this, I'm not completely sure

Help plssss I’ll give BRAINLIEST

Answers

Answer:

(D) Side-Angle-Side, SAS

Step-by-step explanation:

What equals C in this problem?

Answers

Answer:

m<A + m<B + m<C = 180

53+90+m<C=180

m<C=180-143

m<C=37

1.83 x 10^8 is how many times greater than 6.1 x 10^5?

Answers

Answer:

1.83 x 10^8 is how many times greater than 6.1 x 10^5?1.83 x 10^8 is how many times greater than 6.1 x 10^5?

Step-by-step explanation:

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