Tell whether the table represents a proportional relationship. If it does, identify the constant of proportionality.

Answer:

j = 24

t = 2

h = 4

Step-by-step explanation:

Three hats, two T-shirts, and one jacket cost $40.

3h + 2t + j = 40

Two hats, two T-shirts, and two jackets cost $60.

2h + 2t + 2j = 60

One hat and three T-shirts cost $10.

h + 3t = 10

3h + 2t + j = 40 (1)

2h + 2t + 2j = 60 (2)

h + 3t = 10. (3)

From (3)

h = 10 - 3t

Substitute into (1) and (2)

3(10 - 3t) + 2t + j = 40 (1)

2(10 - 3t) + 2t + 2j = 60 (2)

30 - 9t + 2t + j = 40

20 - 6t + 2t + 2j = 60

- 7t + j = 40 - 30

-4t + 2j = 60 - 20

-7t + j = 10 (1a)

-4t + 2j = 40 (1b)

Multiply (1a) by 2

-14t + 2j = 20

-4t + 2j = 40

Subtract to eliminate j

-4t - (-14t) = 40 - 20

-4t + 14t = 20

10t = 20

t = 20/10

t = 2

Substitute t = 2 into

h = 10 - 3t

h = 10 - 3(2)

= 10 - 6

= 4

h = 4

Substitute t = 2 and h = 4 into

3h + 2t + j = 40

3(4) + 2(2) + j = 40

12 + 4 + j = 40

16 + j = 40

j = 40 - 16

= 24

j = 24

Answer:

Step-by-step explanation: it would be B= 3/20

hope this helps!!!!

Answer: B) m=3/20

Step-by-step explanation: X is increasing by 3 each time, while Y is increasing by 20. Therefore, it is 3/20.

Given that,

Shelley's pet food store sold one customer 5 peanut butter biscuits for $3. She sold another customer 7 beef treats for $4.20.

For peanut, the cost is ratio is

[tex]\dfrac{5}{3}[/tex]

For beef, the ratio is

[tex]\dfrac{7}{4.2}[/tex]

If we take cross product of these items,

[tex]\dfrac{5}{3}=\dfrac{7}{4.2}\\\\5\times 4.2=3\times 7\\\\21=21[/tex]

It implies, that the sale is in true proportion. From the cross product, we find that it is equal.

Answer:

21

Step-by-step explanation:

Answer:

Sorry Ion play COD

Step-by-step explanation:

Answer:

y = 5.19615 or 3√3

x = 10.3923 or 6√3

also missing angle is 60°.

hope this helps!

Step-by-step explanation:

Answer:

They are called opposites.

Step-by-step explanation:

"Zero is called the origin, and it's neither negative nor positive. For every positive integer, there's a negative integer an equal distance from the origin. Two integers that lie the same distance from the origin in opposite directions are called opposites. For example, negative 5 is the opposite of positive 5."

-Google

Hope this helps :)

-3                   -24

-120               9

-21                  -9

8                   -48

Answer:

(-27) / 9 = -3                   4 * (-6 )= -24

12 * (-10) = -120              (-45) / (-5) = 9

7 * (-3) = -21                    72 / (-8) = -9

64 / 8 = 8                        (-8) * 6 = -48

Answer:

11

Step-by-step explanation:

See picture for math work and answer.

Answer:

A

Step-by-step explanation:

2Red                                            6 Blue Balls

+4Yellow                                  

= 6 balls    

Answer:

I'd assume the last one but I don't know exactly what the graph is measuring

Answer:

1, 2, 3, 4, 6, 9, 12, 18

Answer: the slope is 1/1

Step-by-step explanation:

it rises up 1 and goes over 1

Answer:

4/5

Step-by-step explanation:

(4, 2)

(-1, -2)

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

2 - (-2)/4 -(-1)

Slope = 4/5

Hope this helps!

Let me know if I'm incorrect :)

Answer:

4

Step-by-step explanation:

answer is four don't worry it's correct

The value is a solution of the equation is x= 4.

The correct option is B.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have an Equation as 3- 2x  = -5.

Now, solving the above equation for x

Subtract 3 from both side

3- 2x - 3 = -5 -3

-2x = -8

Now, divide both by (-2) we get

-2x/(-2) = -8/(-2)

x = 4

Thus, the value of x is 4.

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Answer:

y = 1/2x + 2.5 and y = -1/5x + 8

Step-by-step explanation:

2x - 4y = 10 (subtract 2x on each side)

-4y = -2x + 10 ( divide by - 4 on both sides)

y = 1/2x + 2.5

x + 5y = 40 (subtract x on both sides)

5y = -x + 40 (divide by 5 on both sides)

y = -1/5x + 8

Hope this helped!!

Answer:

(- 9, - 6 )

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , thus

(9, - 6 ) → (- 9, - 6 )

Answer:

-9+5=-4

Step-by-step explanation:

a negative times a negative is always a positive.

Answer:

-9 + 5

Step-by-step explanation:

If there is a negative sign in front of a negative number in parenthesis, then that makes the negative number a positive number which is -9 + 5

Answer:

The answer is 3.7

✨

Answer:

(y= -3 and x = 9)

Step-by-step explanation:

For the y intercept, make x = 0 and solve. For the x intercept, make f(x) = 0 and solve.

Answer:

x=-6, x=1

Step-by-step explanation:

The zero product property

It states that if a.b=0, then it must be satisfied that a=0 or b=0. It's commonly used to solve equations where one of the sides is 0.

The given equation is:

(x+2)(x+3)=12

Since neither side is 0, we operate the expression:

x^2+3x+2x+6=12

Moving 12 to the left side and simplifying:

x^2+3x+2x+6-12=0

x^2+5x-6=0

Factoring:

(x+6)(x-1)=0

Now, since there is zero on the right side, we apply the property to solve:

x+6=0, or x-1=0

The two solutions come directly:

x=-6, x=1

Answer:

f(1)=16

Step-by-step explanation:

f(t)=-16t+32t

f(1)=-16(1)+32(1)

f(1)=-16+32

f(1)=16

Answer:

f(1)=16

Step-by-step explanation:

Answer:34.7

Step-by-step explanation:

h/ 13 = 2/0.75

h= 2 • 13 / 0.75

34.7 m (rounded)

Tree is 34.7m tall.

In similar triangle, shape is same but size is varing. So the ratio of corresponding sides are also equal.

So according to asked question,

Let height of the tree =h

The triangle formed by the tree and its shadow is similar with the triangle formd by the the trangle formed by the lamppost and its shadow.

So, according to the propoties of the similar triangle

a₁/a₂=b₁/b₂

h/x=2m/75cm

⇒h/13=2/(3/4)

⇒h/13=2*4/3=8/3

⇒h=8*13/3=34.666≅34.7m

Therefore tree is 34.7m tall.

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Answer: 73 feet

Step-by-step explanation:

1inch =5feet

L=3.5 inches W=2.5 inches

P= L1+L2+W1+W2

L=3.5(5) =17.5

W= 2.5(5) = 12.5

17.5+ 17.5 +12.5+ 12.5= 73 feet

Answer:   72

Step-by-step explanation:  i multiplied 18 and 4 and that gave me 72

hopefully im not wrong let me know if i am

Answer:

5 and half packet of seeds or 5.5 which is 6 packets

Step-by-step explanation:

12 / 4 = 3

he can plant 3 plants with 1 seed packet

which means he needs 5 packets and half

the answer is 6

Answer:

I mite be rong but I think 8x and 3x

0,4

is where it would land and you can

Answer:

Part A: [tex].50x+120 = .70x+80[/tex]

Part B: [tex]200[/tex] miles

Step-by-step explanation:

So to start, we need to put this information into slope-intercept form. Slope intercept form is [tex]y=mx+b[/tex]  where [tex]m[/tex] represents the slope of a line and [tex]b[/tex] represents the y-intercept. In this question [tex]y[/tex] represents the total cost of the rental, [tex]x[/tex] represents the number of miles driven, [tex]m[/tex] represents the price per mile, and [tex]b[/tex] represents the base price of the rental. Now that we know the variables, we need to plug in the information we have.

Since we know that company A charges $125 a day and $0.50 per mile we would have [tex]y=.50x+120[/tex]

Since we know that company B charges $80 a day and $0.70 per mile we would have [tex]y=.70x+80[/tex]

Now that we have two equations we can move onto the next step. We're looking to know the number of miles ([tex]x[/tex]) that would make the total cost ([tex]y[/tex]) equal. To do this we can make the equations equal each other since we know that [tex]y[/tex] will be the same.

Written out, the equation will look like this: [tex].50x+120 = .70x+80[/tex]

Now, we are trying to find [tex]x[/tex] so we need to isolate the variable.

To start we need to put [tex]x[/tex] on the same side so we'll subtract [tex].70x[/tex] from both sides to get  [tex]-.20x+120=80[/tex]

Next, we'll subtract [tex]120[/tex] from both sides of the equation to get [tex]-.20x=-40[/tex]

Finally, we'll divide both sides by [tex]-.20[/tex] to get [tex]x=200[/tex]

This means that at [tex]200[/tex] miles, both companies will cost the same amount.

Answer:

p=2

Step-by-step explanation:

22-10=12

12/6p=2

Answer:  answer is A

A:3/32

B:2/3

C: 1 1/2

D:4

She hike 1.5 miles  per hour.A common unit of measurement is the mile (mi).

1.609344 kilometers are exactly one unit of length. mile, any of several different measures of distance, such as the statute mile, which has a length of 5,280 feet, is also equivalent to 1,760 yards (1.609 km). It derives from the mile passus, or "thousand paces," of the Romans, which was equivalent to 5,000 Roman feet.

A common unit of measurement is the mile (mi). It is typically used to express the distance between cities, the length of rivers, and the distance between roadways. The letter "mi" stands for the unit mile in writing. Therefore, a marathon race would be roughly 26.3 miles or 26.3 mi in length.

Given ,

1/4hrs=15mins

15mins=3/8miles

60mins=more

60/15 × 3/8

=4/1 × 3/8

=12/8

=1.5miles

Therefore 1.5 miles fast she hike per hour.

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Answer:

r=-3

Step-by-step explanation:

the first step in this equation is to isolate 6r,to do this you got to add 12 to -30 which you get -18 which gives the equation 6r=-18 which now you got to divide both sides by 6 which you should get r=-3

Answer:

r=-3

Step-by-step explanation:

add 12 to -30 you get -18 divide -18 by 6 and you get -3