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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.

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

Answer:

Y=120°

Step-by-step explanation:

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

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.

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

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.

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

Answer:

2

Step-by-step explanation:

13 × 4 = 52

52 ÷ 26 = 2

13 × 4 = 2 × 26

n = 2

Answer:

f(3) = 30

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = 3x² + 2x - 3

f(3) is x = 3

Step 2: Evaluate

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:

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]

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)

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

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

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

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

Answer:

it is c

Step-by-step explanation:

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

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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Answer:

9 4/5

Step-by-step explanation:

Answer: 9.8

Step-by-step explanation:

Answer:

Domain is <-4,+∞)

X >= -4

Step-by-step explanation:

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

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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Answer:

132

Step-by-step explanation:

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

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:

Answer:

(D) Side-Angle-Side, SAS

Step-by-step explanation:

Answer:

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

Answer: Checkings, Retirement, Savings

Answer:

3750

Step-by-step explanation:

Answer:

25,000 x 0.15 =3750

Step-by-step explanation:

Answer:

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

53+90+m<C=180

m<C=180-143

m<C=37

Answer: According to my calculations the answer is 10.5 hours

Step-by-step explanation:

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