the equation Y=1 1/2X represents the number of cups of dried fruit, Y. needed to make X pounds of granola. Determine whether each point would be on the graph of this proportional relationship
(1 1/2,1) (4,6) (18,12) (0,0) (2 1/2. 3 3/4 )

Answers

Answer 1

Answer:

[tex]2.\ \ (4,6)[/tex]

[tex]4.\ \ (0,0)[/tex]

[tex]5.\ \ (2\frac{1}{2},3\frac{3}{4})[/tex]

Step-by-step explanation:

Given

[tex]y = 1\frac{1}{2}x[/tex]

Required

Determine if the given points is on the graph

First,, we rewrite [tex]y = 1\frac{1}{2}x[/tex] as

[tex]y = \frac{3}{2}x[/tex]

[tex]1.\ \ (1\frac{1}{2},1)[/tex]

This can be interpreted as:

[tex]x = 1\frac{1}{2}[/tex]

[tex]y = 1[/tex]

Substitute [tex]x = 1\frac{1}{2}[/tex]

[tex]y = \frac{3}{2} * 1\frac{1}{2}[/tex]

[tex]y = \frac{3}{2} * \frac{3}{2}[/tex]

[tex]y = \frac{9}{4}[/tex]

This isn't equal to the given value of y.

Hence: [tex](1\frac{1}{2},1)[/tex] is not a point on the graph

[tex]2.\ \ (4,6)[/tex]

Here,

[tex]x = 4[/tex]

[tex]y = 6[/tex]

Substitute [tex]x = 4[/tex]

[tex]y = \frac{3}{2} * 4[/tex]

[tex]y = \frac{3 * 4}{2}[/tex]

[tex]y = \frac{12}{2}[/tex]

[tex]y = 6[/tex]

This point is on the graph

[tex]3.\ \ (18,12)[/tex]

Here,

[tex]x = 18[/tex]

[tex]y = 12[/tex]

Substitute [tex]x = 18[/tex]

[tex]y = \frac{3}{2} * 18[/tex]

[tex]y = \frac{3 * 18}{2}[/tex]

[tex]y = \frac{54}{2}[/tex]

[tex]y = 27[/tex]

This isn't equal to the given value of y.

Hence: [tex](18,12)[/tex] is not a point on the graph

[tex]4.\ \ (0,0)[/tex]

Here, we have

[tex]x = 0[/tex]

[tex]y = 0[/tex]

Substitute [tex]x = 0[/tex]

[tex]y = \frac{3}{2} * 0[/tex]

[tex]y = 0[/tex]

Hence:

This point is on the graph

[tex]5.\ \ (2\frac{1}{2},3\frac{3}{4})[/tex]

Here

[tex]x =2\frac{1}{2}[/tex]

[tex]y = 3\frac{3}{4}[/tex]

Substitute [tex]x =2\frac{1}{2}[/tex]

[tex]y = \frac{3}{2} * 2\frac{1}{2}[/tex]

[tex]y = \frac{3}{2} * \frac{5}{2}[/tex]

[tex]y = \frac{15}{4}[/tex]

[tex]y = 3\frac{3}{4}[/tex]

Hence:

This point is on the graph


Related Questions

Complete the steps to find the value of X
PLZ HELP LOTS OF POINTS!!

Answers

Step-by-step explanation:

72° + (7x + 24) = 180

7x + (72 + 24) = 180

7x = 180 - 96

7x = 84 divide both sides by 7

x = 12

186 subtracted from t

Answers

Answer: t-186

Step-by-step explanation:

Answer:

t - 186

Step-by-step explanation:

There's really no math involved in this one. Since t is a variable, all you have to do is write out the answer as t - 186.

What is the value of x? X- 1/6 = 8

Answers

Answer:

wouldn't it just be 8 and 1/6?

Step-by-step explanation:

because 8 1/6 - 1/6 would be 8

Graph -9.2 + 5y = 45.

Answers

X intercept: (-4,0)
Y intercept : (0, 4/3)

A farm stand sells oranges in 3-lb bags for $3.75. What equation represents the cost, c, for p pounds of oranges? Think: how much will 1-lb of oranges cost?
A c = 1.25p B p = 1.25c
C c = 3.75p D p = 3.75c

Answers

Answer:

A

Step-by-step explanation:

It’s not B, because it’s saying each pound is 1.25 multiplied by the cost. We are looking for the cost, not the amount of pounds.

it isn’t C, because the oranges are sold in 3 pound bags, and the equation is comparing the cost of a 3 pound bag to 1 pound of oranges.

And it isn’t D, because D does the same thing as B, but with The cost of a 3 pound bag.

An equation is formed of two equal expressions. The correct option is A, c=1.25p.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that the farm stand sells oranges in 3-lb bags for $3.75. Therefore, the cost of the oranges for a pound is,

Cost of a pound of oranges = $3.75 / 3

                                              = $1.25

Now, if the cost,c for p pounds of oranges is,

Cost, c = Cost of a pound of oranges × Number of pounds

            = $1.25 × p

      c = 1.25p

Hence, the correct option is A, c=1.25p.

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Rewrite equation in slope-intercept form and identify its slope.
4x - 2y =5

Answers

Answer:

y=2x-5/2

Step-by-step explanation:

HELP!!! GIVING BRAINLEST

Answers

Answer:

It’s to blurry for me ☹️

Step-by-step explanation:

I need my glasses

Let A, B, and C be any sets. Show that A × (B – C) = (A × B) – (A × C).
Can you help justify the proof

Answers

AB-AC=AB-AC

1. Factor the first problem into AB-AC
2. Multiply and add the second problem and you will get AB-AC
3. AB-AC is equal to AB-AC

If × denotes the Cartesian product, and if aA and bB, then (a, b) ∈ A × B.

First prove that A × (B - C) ⊆ (A × B) - (A × C):

Let aA and bB - C.

By definition of the product, (a, b) ∈ A × B.

By definition of complement, bB and bC.

So (a, b) ∈ A × B and (a, b) ∉ A × C.

By definition of complement, (a, b) ∈ (A × B) - (A × C).

Therefore, A × (B - C) ⊆ (A × B) - (A × C).

Prove the other direction, that (A × B) - (A × C) ⊆ A × (B - C):

Let (a, b) ∈ (A × B) - (A × C).

By definition complement, (a, b) ∈ (A × B) and (a, b) ∉ (A × C).

By definition of the product, aA, bB, and bC.

By definition of complement, b B - C.

By definition of the product, (a, b) ∈ A × (B - C).

Therefore, (A × B) - (A × C) ⊆ A × (B - C).

Hence the two sets are equal. QED

I'm in 6th grade what is 9p=72 solved mentally​

Answers

Answer:

p=8

Step-by-step explanation:

Find the exact value of cos(a + b), given sin a = 2/5 for a in Quadrant || and cos B = 1/3 for b in Quadrant IV.

Answers

Answer:

Option (4)

Step-by-step explanation:

cos(a + b) = cos(a)cos(b) - sin(a)sin(b) [Identity]

Since, sin(a) = [tex]\frac{2}{5}[/tex] for a in quadrant II

Therefore, cos(a) = [tex]\sqrt{1-\text{sin}^2(a)}=\sqrt{1-(\frac{2}{5})^2}[/tex]

cos(a) = [tex]\frac{\sqrt{21}}{5}[/tex]

But cosine of a is negative quadrant II

Therefore, cos(a) = -[tex]\frac{\sqrt{21}}{5}[/tex]

And cos(b) = [tex]\frac{1}{3}[/tex] for b in quadrant IV

Therefore, sin(b) = [tex]\sqrt{1-\text{cos}^{2}b}[/tex]

                           = [tex]\sqrt{1-(\frac{1}{3})^2}[/tex]

                           = [tex]\frac{2\sqrt{2}}{3}[/tex]

But sine of an angle is negative in quadrant IV,

Therefore, sin(b) = [tex]-\frac{2\sqrt{2}}{3}[/tex]

Now substituting these values in the identity,

cos(a + b) = [tex](-\frac{\sqrt{21}}{5})(\frac{1}{3})-(\frac{2}{5})(-\frac{2\sqrt{2}}{3})[/tex]

                = [tex]-\frac{\sqrt{21}}{15}+\frac{4\sqrt{2}}{15}[/tex]

                = [tex]\frac{4\sqrt{2}-\sqrt{21}}{15}[/tex]

Therefore, Option (4) will be the answer.  

Answer: D

Step-by-step explanation:

Edge 2021

Help
8th grade math
And I’m Loki dum

Answers

Answer:

(0,5) or 5

Step-by-step explanation:

the y intercept is the point where the line crosses the y-axis. given this info, its given that the y intercept would be 5, or (0,5) in coordinates ^_^

Answer:

0,5

Step-by-step explanation:

So this is actually simpler than it looks. All you have to do is see what point starts out with the x coordinate at zero. The center of the graph is 0,0, so the y intercept is 0,5 because that is the first graph of y.  The order is 0,5 1,6 2,7 so on and so on. Hope my explanation made sense. There is a reason why I'm not a teacher. Lol.

Please help! Don't comment if you don't know it. Please.

Answers

Answer:

So what are you trying to figure out bc I may be able to help

Camila’s box holds 363 balls. Each layer has 33 balls. How many layers does the box have?

Answers

Answer:

The box has 11 layers

Step-by-step explanation:

Since there are 363 balls and each layer has 33 balls, we have to divide 363 by 33.

363÷33= 11

So, there will be 11 layers in the box.

Hope this helps!

Find the value of f(2).
y = f(x)
10
8
6
4
-10
-8
-6
-4
-2
2
4
6
8
10
-2
4
-6
-8
-10

Answers

Answer:

the answer is d

Step-by-step explanation:

no explanation i did it before lol

a triangle has two sides of lengths 4 and 7. What could the value of the third side be? select all that apply.

Answers

Answer:

Step-by-step explanation:

5,7,9

trust the process.

can somone help me please

Answers

Answer:

x=11.75

Step-by-step explanation:

Abcd is a cyclic quadrilateral. o is the center of the circle ∠bad = 40°,then angle BCD=?,m(arc BCD) =?,m( arc BAD)=?

Answers

Answer:

m∠BCD = 140°

m(arc BCD) = 80°

m(arc BAD) = 280°

Step-by-step explanation:

In the cyclic quadrilateral, every two opposite angles are supplementary.The measure of the subtended arc to an inscribed angle equals twice the measure of this angle

Let us use these facts to solve the question

∵ ABCD is a cyclic quadrilateral in circle O

∵ ∠BAD and ∠BCD are opposite angles

→ By using the 1st fact above

∴ m∠BAD + m∠BCD = 180°

∵ m∠BAD = 40°

∴ 40° + m∠BCD = 180°

→ Subtract 40° from both sides

∴ 40° - 40° + m∠BCD = 180° - 40°

m∠BCD = 140°

∵ Arc BCD subtended the inscribed ∠BAD

→ By using the 2nd fact above

∴ m(arc BCD) = 2(m∠BAD)

∵ m∠BAD = 40°

∴ m(arc BCD) = 2(40°)

m(arc BCD) = 80°

∵ Arc BAD subtended the inscribed ∠BCD

→ By using the 2nd fact above

∴ m(arc BAD) = 2(m∠BCD)

∵ m∠BCD = 140°

∴ m(arc BAD) = 2(140°)

m(arc BAD) = 280°.

Find the slope and the y-intercept of the line.
y=8x-9

Help please

Answers

Answer:

slope=8

y intercept=-9

Step-by-step explanation:

the equation is in the form y=mx+b

where m is the slope and b is the y intercept.

brainliest fr ! ! !! After knee surgery, your trainer tells you to return to your jogging program slowly. He suggests jogging for 12 minutes each day for the first week. Each week thereafter, he suggests that you increase that time by 6 minutes per day. How many weeks will it be before you are up to jogging 60 minutes per day?

Answers

Answer: 8 weeks I believe

Step-by-step explanation:

12+6=18

18+6+6+6+6+6+6+6=60

or 18+42=60

Help! Best Answer = Braniest

Answers

Answer:

x=20, Angles are 70° and 110°

Step-by-step explanation:

Angles are supplementary, so their sum is 180°

5x-30+x+90 = 180

6x+60 = 180

6x = 180-60

6x = 120

x = 20

5x-30 = 5*20 - 30 = 100 -30 = 70°

x+90 = 20 + 90 = 110°

A line contains the points 6,23 and 12, 39 what is the slope of this line

Answers

8/3

You use the slope formula

Y2-Y1
———
X2-X1


Plug in our numbers

39-23 16 8
——— = — = —
12-6 6 3

We simply slice then simplify to get our answer which is

8

3

Covert 54 2/7% to a fraction in lowest terms

Answers

Put it over 100.

(54 2/7)/100

Simplify.

19/35

Answer: 19/35

3x + 8 = -1/2(2x + 4)

Answers

your answer would be X = -5/2

Use algebra tiles to represent this polynomial x2-5x-1

Answers

get 2 shaded x tiles, 5 clear x tiles, and 1 clear tile.

Answer:

drag one tile into the product then click check. Then drag five into the product then click check. Then drag one tile into the product and click check..

Step-by-step explanation:

Write the equation of the line in slope-intercept form that
passes through the point (-2, 4) and is perpendicular to the line
6x + 3y = 8.

Answers

Answer:

y = 1/2x + 5

Step-by-step explanation:

I checked it on desmos

Ashley has $20 to play games at the arcade. If each game cost .50 cents how many games can she play?

Answers

Answer: 40 games

Step-by-step explanation: 20/0.5=40

Need Help. ( Look at the picture). Will Mark Brainliest. Graph the step function over the interval. [ Please Show me on paper].​

Answers

Answer:

x = -3

Step-by-step explanation:

f(x)= x + 3

0 = x + 3

-x = 3

x = -3

Originally, Juan borrowed $10, but his mother loaned him $3 more, so he borrowed a total of $13. He sells $25 worth of lemonade in his first week. After Juan pays his mother back the $13 he borrowed, his profit is $12.

If Juan’s mother forgave (or took away) his debt of –13, what equation shows the amount of money Juan will have?

Answers

Answer:

25

Step-by-step explanation:

If Juan's mother forgave his debt of -$13, then Juan will have $25 left after paying back his initial loan and making a profit of $12.

Juan's money = $12 + $13

What is an equation?

Two algebraic expressions having the same value and symbol '=' in between are called an equation.

If Juan's mother forgave his debt of -$13, then it means that Juan received $13 from his mother instead of owing her $13. So the equation that shows the amount of money Juan will have is:

Juan's profit = Juan's earnings - Juan's expenses

Juan's profit = $25 - $13

Juan's profit = $12

This means that after paying back his loan and making a profit of $12, Juan will have no money left.

If we want to include the amount he initially borrowed, we can modify the equation as follows:

Juan's money = Juan's earnings  + Juan's initial loan

Juan's money = $25 - $13 - $13

Therefore, the equation is Juan's money = $12 + $13

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CJ walks 8 miles in 3 hours, at what unit rate does he walk

Answers

Answer:

24

Step-by-step explanation:

you 8times3=24

2.5 miles a hour ( 2.666666666666667 miles an hour) lemme know if im

right !

1. Which operation should be performed first to simplify the expression below?
(19 - 2 times 8 divided by 4 + 6)

Answers

Question:

Which operation should be performed first to simplify the expression below?19-2×8÷4+6

Answer:

I'm pretty sure you multiply first because PEMDAS  (Parenthesis, Exponent, Multiplication, Division, Addition, Subtraction) says you go left to right and do multiplication or division first, so I would say it'd be multiplication.

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