the equation y= 0.25x describes a proportional relationship between x and y. what is the constant of proportionality?

Answer:

1. x = 2√3 or 3.46

2. y = 4√3 or 6.93

3. z = 4√6 or 9.80

Step-by-step explanation:

1. Determination of the value of x.

Angle (θ) = 60°

Opposite = 6

Adjacent = x

Tan θ = Opposite /Adjacent

Tan 60 = 6 / x

√3 = 6/x

Cross multiply

x√3 = 6

Divide both side by √3

x = 6 / √3

Rationalise

x = (6 / √3) × (√3/√3)

x = 6√3 / 3

x = 2√3 or 3.46

2. Determination of the value of y.

Angle (θ) = 60°

Opposite = 6

Hypothenus = y

Sine θ = Opposite /Hypothenus

Sine 60 = 6/y

√3/2 = 6/y

Cross multiply

y√3 = 2 × 6

y√3 = 12

Divide both side by √3

y = 12/√3

Rationalise

y = (12 / √3) × (√3/√3)

y = 12√3 / 3

y = 4√3 or 6.93

3. Determination of the value of z.

Angle (θ) = 45°

Opposite = y = 4√3

Hypothenus = z

Sine θ = Opposite /Hypothenus

Sine 45 = 4√3 / z

1/√2 = 4√3 / z

Cross multiply

z = √2 × 4√3

z = 4√6 or 9.80

Answer:

C) la pimienta

Step-by-step explanation:

Answer:

C) la pimienta

Step-by-step explanation:

because is means pepper in spanish

Answer:

A 0.4 %

Step-by-step explanation:

I just took the test

Answer:

y=1/2x-4

Step-by-step explanation:

the answer is y=1/2x-4

Answer:

1/4(n), $7.50

Step-by-step explanation:

Expanded: cost = 0.25 * chains + 0.25 * pendants + 0.25 * beads

Simplified: c = (1/4)(total number of items)

Expression only: 1/4n where n = # chains + # pendants + # beads purchased

Total cost of 30 beads = 1/4(30) = 7.5 = $7.50

Answer:

eve7dne

eveui2w

Answer:

168

Multiply 8 times 3 times 7

Answer:

80°

Step-by-step explanation:

42° + 58° + x = 180° [Angle sum property of triangle]

=> 100 + x = 180

=> x = 180 - 100

=> x = 80 (Ans)

Step-by-step explanation:

58° + 42° + x = 180° -- (Δ sum property)

100° + x = 180°

x = 180° - 100°

x = 80°

Answer: -0.5

Step-by-step explanation:

5 + (-5.5) = -0.5 dollars

The expected return of placing this bet is -0.5 dollars.

Probability is a number that indicates the likelihood of an event occurring. Probability is defined as the ratio of favorable outcomes to all outcomes.

To calculate the expected return of this bet, we need to consider the possible outcomes and their probabilities. There are two possible outcomes:

The Denver Dragons win with a probability of 0.5. In this case, Ivy will win 10 dollars.

The Seattle Sea Turtles win with a probability of 0.5. In this case, Ivy will lose 11 dollars.

To calculate the expected return, we multiply each outcome by its probability and sum the results.

Expected return = (0.5 x 10) + (0.5 x -11)

Expected return = 5 - 5.5

Expected return = -0.5

Therefore, the expected return of placing this bet is -0.5 dollars, which means that over the long run, Ivy can expect to lose an average of 50 cents every time she places this bet.

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Answer:

#6 is 36

Step-by-step explanation:

A=b h=9·4=36

Answer:

A=276 cm²

Step-by-step explanation:

A=2(wl+hl+hw)

A=2(4x7+ 10x7+10x4)

A=2(28+70+40)

A=2(138)

A=276 cm²

Answer:

your answer for this question will be the 3rd answer choice

Answer:

Correct: a, b, c, d, f, g, h, i, l

Incorrect: e, j, k

Step-by-step explanation:

a. -120=60(-2) {insert x and y into the equation and see if it works} Correct

b. 60 is being multiplied by hours, so it is the mph Correct

c. 60 is always the one being multiplied, so it's the constant Correct

d. 210=60(3.5) {insert 3.5 as x [cause hours] and see if it equals 210 [it does]} Correct

e. y is the dependent variable, and it represent miles driven Incorrect

f. Direct variation equation is y=kx {in the equation, k=60} Correct

g. x is the independent variable, and it represents the hours driven Correct

h. The x and the y are proportional Correct

i. y is the dependent variable, and it represent miles driven Correct

j.  y is the dependent variable, and it represent miles driven Incorrect

k. Rise=y Run=x The first point would be (1,60) {rise=60 run=1} Incorrect

l. (0,0) is a solution, and it is also the y-intercept Correct

(hope this helps :P)

Answer:

35 feet

Step-by-step explanation:

We'll begin by calculating the resultant for you and your friend.

For you:

R² = 12² + 9²

R² = 144 + 81

R² = 225

Take the square root of both side

R = √225

R = 15 feet

For your friend:

R² = 16² + 12²

R² = 256 + 144

R² = 400

Take the square root of both side

R = √400

R = 20 feet

Finally, we shall determine the distance between you and your friend.

The distance between you and your friend is obtained by adding your resultant and that of your friend together i.e

You resultant = 15 feet

Your friend's resultant = 20 feet

Distance between you and your friend = 15 + 20 = 35 feet.

Therefore, you threw the baseball 35 feet away from your friend.

Answer:

Bright saved 6 dollars.

Answer:

$6

Step-by-step explanation:

10 divide 5 is 2 so

3 multiply 2 is 6 so he saved 6 dollars

Answer:

5/4 =6 /4

Step-by-step explanation:

5/4x = 1 2/4

5/4 =6 /4

I hope im right!!

Answer:

f(x)= - 4 ([tex]x^{2}[/tex]) + 3

Step-by-step explanation:

1. start with f(x)=a([tex]x-p)^{2}[/tex]+q

2. in that vertex is (p,q) noticing that use given vertex(0,3) and change the equation/function --> f(x)=a(x-0)+3 --> f(x)=a([tex]x)^{2}[/tex]+3

3. Then use the give point and substitute to find "a" value --> - 1 = a([tex]1)^{2}[/tex]+3

--> - 1 = a + 3 --> a= - 4

4. put the "a" value into the #2. function/equation --> f(x)= - 4([tex]x)^{2}[/tex]+3

Answer: 33/ 75,  0.44  & 44%  

Step-by-step explanation: hope this is helpful

Answer:

Whoa I D K THIS

nvm its 5.66 inches

Step-by-step explanation:

Answer:

35.80

Step-by-step explanation:

[tex]3.14 \times 11.4 = 35.796[/tex]

Simplify & Round

35.796 ---> 35.80

Awnser = 35.80

Answer:

$1,126.37

Step-by-step Explanation:

Given:

Account balance for:

Month 1 = $1285.12

Month 2 = $961.36

Month 3 = $1132.63

Required:

Average balance of account

SOLUTION:

Average balance of account = sum of account balance for the 3 months ÷ 3

The month in which the balance of Account A is become equal to the balance of Account B is 15th months.

Unknown variables are used to find the unknown values of the problem using the algebraic expressions.

The table shows the balances of two bank accounts for 3 months.

The amount in account A is growing with $35 each month. Thus, the amount in this account in nth month is,

[tex]50+35n[/tex]

The amount in account B is just growing with $15. Thus, the amount in this account in nth month is,

[tex]50+15n[/tex]

Let the balance of Account A be equal to the balance of Account B iin n month. Thus,

[tex]50+35n=350+15n\\35n-15n=350-50\\20n=300\\n=\dfrac{300}{20}\\n=15[/tex]

Thus, the month in which the balance of Account A is become equal to the balance of Account B is 15th months.

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Answer:

i think the answer would be 1 and 4 in calculating (if that is what your question is asking)

Step-by-step explanation:

if you calculate your answer, it would be 1.41, which would mean that the answer would be 1 and 4

Answer:

a) max 12000 , min 0

b) no solution

c) pricing based on profit

Step-by-step explanation:

a) look at the parabola

b) there is more than one x (0)

c) the y intercepts represent his profit based on how much he priced the items at

Answer:

1 5/16

Step-by-step explanation:

change to improper fractiom

reduce with the GCF

multipy

Answer:

[tex]x = 1[/tex]

[tex]y = -2[/tex]

Step-by-step explanation:

Given

[tex]2x - 3y = 8[/tex]

[tex]4x + 3y =-2[/tex]

Required

x and y

Add both equations to eliminate y

[tex]2x + 4x - 3y + 3y = 8 - 2[/tex]

[tex]6x = 6[/tex]

Divide both sides by 6

[tex]x = 1[/tex]

Substitute [tex]x = 1[/tex] in the first equation

[tex]2x - 3y = 8[/tex]

[tex]2 * 1 - 3y = 8[/tex]

[tex]2 - 3y = 8[/tex]

[tex]-3y = 8 - 2[/tex]

[tex]-3y = 6[/tex]

Divide by -3

[tex]y = -2[/tex]

Answer:

C

Step-by-step explanation:

good luck. hope this helps

Answer:

H I am pretty sure u worked it out h I think

Answer:

Step-by-step explanation:

P(R)=(number of red)/(total number of markers)

P(R)=15/64

We would expect to pick 90(15/64) reds in 90 picks

expect 21.09 reds

Answer:

1m = 100cm

75cm/100cm = 75/100 = 3/4

75 cm is 3/4 of meter.

Step-by-step explanation: