A quantity, y, varies directly as x When y=10, x=6.
Find xwhen y= 14.

Answer:

73 cents

Step-by-step explanation:

$2.20/3 = $0.73 = 73 cents

The most the salon would be willing to pay that groomer is $25×4 = $100.

The unitary method is a technique that determines the worth of a single unit from value of multiple units, as well as the quality of multiple units from value of a single unit.

Some key features regarding the unitary method are-

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Answer:

x > -22/7

Step-by-step explanation:

To find out which inequality is is equivalent, you solve for x.

-4(x+7) < 3(x-2): distribute variables

-4x-28 < 3x-6: Add 6 to both sided

-4x-22 < 3x: add 4x to both sides

-22 < 7x: divide by 7

-22/7 < x: you can switch sides if prefered but you have to switch sign too

x > -22/7

Here. You go! I wrote down the notes for each note and I wrote down the fingering on the doc! I hope this help!! :-)

The rate of change for the given table is 13, and the initial value is -14.

What is the rate of change?

The rate of change is a measure of how much one quantity changes in relation to a change in another quantity. It is the ratio of the change in the output (dependent variable) to the change in the input (independent variable). In other words, it is the slope of the line that represents the relationship between the two variables.

In the table given, we can identify the rate of change by calculating the slope between any two points. For example, we can find the slope between the points (1,-1) and (2,12) using the formula:

slope = (y2 - y1)/(x2 - x1) = (12 - (-1))/(2 - 1) = 13

Similarly, we can find the slope between the points (2,12) and (3,25) as well as between (3,25) and (4,38) to get:

slope = (25 - 12)/(3 - 2) = 13

slope = (38 - 25)/(4 - 3) = 13

Since the slope is the same for all pairs of points, we can conclude that the rate of change for the given table is constant and equal to 13.

To find the initial value, we can identify the y-intercept of the line that represents the relationship between x and y. Since the rate of change is 13 and the line passes through the point (1,-1), we can use the point-slope form of the equation of a line to get:

y - (-1) = 13(x - 1)

Simplifying, we get:

y = 13x - 14

the initial value of the table is -14.

Hence, The rate of change for the given table is 13, and the initial value is -14.

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Answer:

the area is multiplied by 4

Step-by-step explanation:

ex. i did height and base both are two the area is two

then if both are 4 then the are is 8

I checked with base and height = 4, area = 8

base and height = 8, area =32

Answer:

1 shrub=9 and 1 hosta=5

Step-by-step explanation:

4(x)+y=9

Answer: 45

Step-by-step explanation:

Answer:

So lets do this the ole fashion way the simple ole 1-step equation

Step-by-step explanation

x=7...........i think.....girl im only a freshman annd apparently ik geometery........so wouldnt it be 7+5=12...........cuh x+5=12........

x=7

I think

Answer:

Step-by-step explanation:

d

\( \tt \huge \leadsto \frac{ \sqrt{7} - \sqrt{3} }{ \sqrt{7} + \sqrt{3} } \)

\( \tt \huge \leadsto \frac{ \sqrt{7} - \sqrt{3} }{ \sqrt{7} + \sqrt{3}} \times \frac{ \sqrt{7} - \sqrt{3} }{ \sqrt{7} - \sqrt{3} } \)

\( \tt \huge \leadsto \frac{7 - 3}{ (\sqrt{7 })^{2} - ( \sqrt{3})^{2} } \)

\( \tt \huge \leadsto \frac{4}{7 - 3} \)

\( \tt \huge \leadsto\frac{4}{4} \)

\(\tt\huge\leadsto{1}\)

Answer:

Step-by-step explanation:

To rationalize the denominator multiply the numerator and denominator by the conjugate of √7 + √3 = √7- √3

\(\frac{\sqrt{7}-\sqrt{3}}{\sqrt{7}+\sqrt{3}}=\frac{(\sqrt{7}-\sqrt{3})(\sqrt{7}-\sqrt{3})}{(\sqrt{7}+\sqrt{3})(\sqrt{7}-\sqrt{3})}\\\\\\= \frac{(\sqrt{7}-\sqrt{3})^{2}}{(\sqrt{7})^{2}-(\sqrt{3})^{2}}\\\\\\= \frac{(\sqrt{7})^{2}-2*(\sqrt{7})*(\sqrt{3})+(\sqrt{3})^{2})}{7-3}\\\\=\frac{7-2\sqrt{21}+3}{4}\\\\=\frac{10-2\sqrt{21}}{4}\\\\=\frac{2(5-\sqrt{21})}{4}\\\\=\frac{5-\sqrt{21}}{2}\)

Answer:

2

Step-by-step explanation:

3(x-4)=-6

3x - 12 =-6

3x=- 6 +12

3x =6

x =6 :3

x=2

Answer:

300 raisins

Step-by-step explanation:

sum the parts of the ratio, 3 + 27 = 30 parts

Divide the total by 30 for the value of one part of the ratio.

3000 ÷ 30 = 100 ← value of 1 part of the ratio , then

3 parts = 3 × 100 = 300 ← number of raisins in a box

Answer:

15, 20, 25

Step-by-step explanation:

added in the picture

Average rate of change gives us the slope of the secant line that connects the two points on the graph of g(t) corresponding to t = a and t = b. This can help us understand how quickly the function is changing over the interval and can be useful in many applications.

We need to use the formula:

average rate of change = (g(b) - g(a))/(b - a)

Here, g(b) represents the value of the function at t = b and g(a) represents the value of the function at t = a.

We can use this formula to calculate the average rate of change of g(t) over the given interval. Just substitute the values of g(a), g(b), a, and b into the formula and simplify the expression to get the answer.

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To subtract 1/2h-1 from 3/4h+4, we can distribute the negative sign to the expression 1/2h-1 and then combine like terms. This gives:

(3/4h + 4) - (1/2h - 1)

= 3/4h + 4 - 1/2h + 1 (distributing the negative sign)

= (3/4h - 1/2h) + (4 + 1) (combining like terms)

= 1/4h + 5

Therefore, the result of subtracting 1/2h-1 from 3/4h+4 is 1/4h+5.

Answer:

800 Kilograms!

Step-by-step explanation:

Because you have to divide that number by 1000/1.25 which that equals 800 Kilograms!!!!

Answer:

y=9

Step-by-step explanation:

The molarity of the Ca(NO₃)₂ solution is 5.855 M.

Explanation:

Given that 61.3 mL of Ca(NO₃)₂ solution reacts with 46.2 mL of 5.2 M Na₃PO₄.

The balanced chemical equation for the given reaction is:

        3 Ca(NO₂)₂ + 2 Na₃PO₄ → Ca₃(PO₄)₂ + 6 NaNO₃

The number of moles of Na₃PO₄ used is:

      n(Na₃PO₄) = Molarity × Volume

               (n = c × V)

                = 5.2 M × 0.0462 L

                = 0.2394 moles of Na₃PO₄

Since Ca(NO₃)₂ reacts with Na₃PO₄ in the ratio of 3:2, 61.3 mL of Ca(NO₃)₂ reacts with (2/3) × 61.3 mL = 40.86 mL of Na₃PO₄.

The number of moles of Ca(NO₃)₂ used is:

               n(Ca(NO₃)₂) = n(Na₃PO₄) × (3/2)

                                  = 0.2394 × (3/2)

                                    = 0.3591 moles of Ca(NO₃)₂

The volume of Ca(NO₃)₂ used is V(Ca(NO₃)₂) = 61.3 mL

                                                                         = 0.0613 L

The molarity of Ca(NO₃)₂ solution is given as:

f = n(Ca(NO₃)₂) / V(Ca(NO₃)₂) = 0.3591 moles / 0.0613 L

                                                = 5.855 M

Therefore, the molarity of the Ca(NO₃)₂ solution is 5.855 M.

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Answer:

Commutative Property of Multiplication

Step-by-step explanation:

According to the commutative property, the results of addition and multiplication are unaffected by the order of the integers.

Answer:

Commutative Property is shown.

Step-by-step explanation:

The commutative property is a multiplication property that is used when the order of the numbers doesn't matter and will result in the correct/same answer.

If you do 4*2, you will get 8 which is equivalent to saying 2*4, which is also 8.

Answer:

y = -3x + 10

Step-by-step explanation:

6x+2y=20

First, you want to subtract 6x from both sides.

2y=-6x+20

Now, you want to divide by 2 on both sides because you want to get y by itself.

y = -3x + 10

Answer:

Y = -3x + 10

Step-by-step explanation:

Subtract the 6x from both sides to get y by itself

You would have 2y=-6x+20

Divide everything by 2 for the correct formula format

You would have y=-3x+10

Answer:

It was rotated D. -180 degrees

Step-by-step explanation:

the reason that it was -180 degrees is because when you look at the points, points A and B were perfectly flipped around and on the other side of (0,0)

Answer:

the answer would be p= -4

13-3p = -5(3+2p)

13-3p = -15-10p

13 = -15-7p

28 = -7p

p = -4

In quadrant III, with sin(θ) = -4/7, we find that cos(θ) = -3/7, tan(θ) = 4/3, sec(θ) = -7/3, csc(θ) = -7/4, and cot(θ) = 3/4.

Given that sin(θ) = -4/7 and θ is in quadrant III, we can determine the values of various trigonometric functions using the information provided.

In quadrant III, sin(θ) is negative and cos(θ) is negative or positive. Since sin(θ) = -4/7, we can use the Pythagorean identity sin^2(θ) + cos^2(θ) = 1 to find cos(θ). Substituting the given value of sin(θ), we have (-4/7)^2 + cos^2(θ) = 1. Solving for cos(θ), we find that cos(θ) = -3/7.

Using the values of sin(θ) and cos(θ), we can find the remaining trigonometric functions. By definition, tan(θ) = sin(θ) / cos(θ). Substituting the given values, we have tan(θ) = (-4/7) / (-3/7) = 4/3.

The reciprocal functions can be found as follows: sec(θ) = 1 / cos(θ), csc(θ) = 1 / sin(θ), and cot(θ) = 1 / tan(θ). Substituting the values of cos(θ) and sin(θ), we find sec(θ) = -7/3, csc(θ) = -7/4, and cot(θ) = 3/4.

Therefore, in quadrant III, when sin(θ) = -4/7, the values of the trigonometric functions are: (a) cos(θ) = -3/7, (b) tan(θ) = 4/3, (c) sec(θ) = -7/3, (d) csc(θ) = -7/4, and (e) cot(θ) = 3/4 respectively.

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Answer:

7/8

you need a common denominator so multiply 3/4 by 2 to get 6/8 so now to have a common denominator then just add 1/8+6/8

Answer:

The answer is 7/8.

Step-by-step explanation:

First convert the 3/4 into eighths to get a common denominator. This will add everything together easier. Since 3/4 = 6/8, that means 1/8 + 6/8 = 1/8 + 3/4. The answer is 7/8. You can't simplify the answer any further.

Answer:

if my math is correct

Step-by-step explanation:

2501.50

2504.65

The total time Karen spent riding her bike and swimming in the race is 135 minutes.

What is algebra ?

Algebra is the study of variables and the rules for manipulating these variables in formulas; it is a unifying thread of almost all of mathematics.

To find the total time Karen spent riding her bike and swimming in the race, you need to add the time she spent riding her bike and the time she spent swimming.

Karen rode her bike for 1 1/2 hours, which is equivalent to 1.5 * 60 = 90 minutes.

She also swam for 45 minutes.

90 + 45 = 135,

The total time Karen spent riding her bike and swimming in the race is 135 minutes.

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Karen spent 135 minutes riding her bike and swimming in the race.

Algebra is a common thread that runs through practically all of mathematics. It involves the study of variables and the rules for manipulating them in formulas.

You must add the time Karen spent swimming and riding her bike to get the total amount of time she spent doing both during the race.

First, we need to convert Karen's bike riding time to minutes:

1 1/2 hours = 1 1/2 * 60 minutes = 90 minutes

Now we can add up Karen's bike riding time and swimming time:

90 minutes + 45 minutes = 135 minutes

So Karen spent 135 minutes riding her bike and swimming in the race.

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Answer:

Not parallel  

Step-by-step explanation:

Could be   perpindicular    or   not parallel

Answer:

b / a.

Step-by-step explanation:

b / c = a

b = a * c

a * c = b

c = b / a.

Hope this helps!

Answer:

$80

Step-by-step explanation:

(a) P(0) = 0.1784, P(1) = 0.3386, P(2) = 0.3201, P(3) = 0.1629

(b) P(denied) = 0.1629

(c) Average number of access lines in use = 1.42

Arrival rate (λ) = 34 calls per hour

Service rate (μ) per line = 24 calls per hour

Number of access lines (c) = 3

Queue capacity (K) = ∞ (unlimited)

(a) To find the probability that 0, 1, 2, and 3 access lines will be in use, we can use the formula for the probability of having n busy lines in an M/M/c queue:

\(P(n) = [(1 - \rho) \times \rho^n] / [1 - \rho^{c+1}]\)

where ρ is the traffic intensity and is calculated as ρ = λ / (c × μ).

ρ = (34 calls/hour) / (3 lines × 24 calls/hour) = 0.4722

Now, we can calculate the probabilities for each scenario:

P(0) = [(1 - 0.4722)×0.4722⁰] / [1 - 0.4722³⁺¹] = 0.1784

P(1) = [(1 - 0.4722) ˣ 0.4722¹] / [1 - 0.4722³⁺¹] = 0.3386

P(2) = [(1 - 0.4722) × 0.4722²] / [1 - 0.4722³⁺¹] = 0.3201

P(3) = [(1 - 0.4722) × 0.4722³] / [1 - 0.4722³⁺¹] = 0.1629

(b) To find the probability that an agent will be denied access to the system.

we need to calculate the probability of having all three access lines in use, which is P(3) = 0.1629.

P(denied) = P(3) = 0.1629

The probability of an agent being denied access to the system is 0.1629.

(c) To find the average number of access lines in use, we can use the formula:

L = λ × W

where λ is the arrival rate and W is the average time spent in the system.

Since the system has no waiting, the average time spent in the system is 1 / μ, where μ is the service rate per line.

W = 1 / μ = 1 / 24 calls per hour

= 0.0417 hours per call

L = (34 calls per hour) × (0.0417 hours per call) = 1.4167

The average number of access lines in use is 1.42

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