Suppose y varies directly as x. If y = 12 when x = 4:
Write the general variation equation
Find the constant of variation, k.
Write a variation equation relating x and y using the value of k found in b).
Find y when x = -5.
у

Step-by-step explanation:

[tex] \bf \underline{Given-} \\ [/tex]

[tex] \sf{Mother \: bought \: 4 \frac{1}{3} \: kilograms \: of \: bananas \: and } \\ \sf{ 4 \frac{4}{5} \: kilograms \: of \: oranges \: for \: her \: children.} \\ [/tex]

[tex] \bf \underline{To \: find-} \\ [/tex]

[tex] \sf \: Total\:kilograms \: of \: fruits \: did \: she \: buy \: in \: all \: ? \\ [/tex]

[tex] \bf \underline{Solution-} \\ [/tex]

[tex] \sf{Total \: weight \: of \: fruits = \bigg(4 \frac{1}{3} + 4 \frac{4}{5} \bigg)Kg} \\ [/tex]

[tex] \sf{ = \bigg(\frac{13}{3} + \frac{80}{5} \bigg)Kg} \\ [/tex]

Take LCM of 3 & 5 is 15.

[tex] \sf{ = \bigg( \frac{65 + 240}{15} \bigg)Kg} \\ [/tex]

[tex] \sf{ = \frac{305}{15} \: Kg} \\ [/tex]

[tex] \sf{ =2 \frac{5}{15} \: Kg} \\ [/tex]

Answer:

Step-by-step explanation:

a. To draw a secant line, just draw a straight line connecting the 2 points at x = 0 and x = 4.

b. The average rate of change of this line is going to be the change in y / the change in x. The equation will be (f(4) - f(0))/(4 - 0) = (0 - 3) / 4 = -3/4.

(3p-p)/(2-(-8))= -3

2p/10= -3

2p= -30

p= -15

Answer:

-15

Step-by-step explanation:

Given that a line has a slope of -3 and passes through the points (-8,p) and (2,3p) . And we need to find out the value of p . As we know that the slope is ,

[tex]\longrightarrow\sf slope = y_2-y_1/x_2-x_1[/tex]

Substituting the respective values ,

[tex]\longrightarrow[/tex] -3 = (p - 3p)/(-8-2)

Simplify ,

[tex]\longrightarrow[/tex] -3 = -2p/-10

[tex]\longrightarrow[/tex] -3 = p/5

[tex]\longrightarrow[/tex] p = 5 * -3

[tex]\longrightarrow[/tex] p = -15

Answer:

Step-by-step explanation:

xy = 864

x + y = 60                     Solve for y in the second equation

y = 60 - x                      

x * (60 - x) = 864          Remove the brackets.

60x - x^2 = 864           Put in order of powers and subtract 864

-x^2 + 60x - 864 =0    Multiply through by -1

x^2 - 60x + 864 = 0

This factors

(x - 36)(x - 24) = 0

Either

x - 36 = 0    in which case

x = 36

or

x - 24 = 0

x = 24

The two numbers are x = 36 and y = 24

of x = 24 and y = 36

Answer:

5 sections

Step-by-step explanation:

5 yards of fabric is cut in 1 yard long

1 yard +1 yard +1 yard +1 yard +1 yard = 5 yards

5 sections

Step-by-step explanation:

She earns $1046 that week

Answer:

-1/3

Step-by-step explanation:

y2 - y1 / x2 - x1

(1,2)(4,1)

1-2 / 4-1

-1/3

Answer:

yes

Step-by-step explanation:

Well 3 is a factor of 15, and 10 a factor of 20. So 15/3 is 5, and 20/10 is 2.

5*2 is 10, which means that 15*20 is 10 times greater than 3*10.

If you actually did multiply them, 15 by 20 is 300 and 3 by 10 is 30. It would logically be correct.

Answer:

Step-by-step explanation:

It will take 6weeks for you to have$150

Answer:

a

Step-by-step explanation:

wht not

Answer: 40

Step-by-step explanation:

15 / 37.5 x 100 = 40

Answer:

7/9

Step-by-step explanation:

2+5=7

Denominator stays the same 9

So it's 7/9

Answer:

You sure bout that this is the answer

Step-by-step explanation:

2/9=0.2~ + 5/9=0.5~ =0.777777778 or 7/9

Using the binomial distribution, we find that:

a) There is a 0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.

b) There is a 0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.

c) The mode is of 7.5 hurricanes.

For each hurricane, there are only two possible outcomes. Either it causes damage, or it does not. The probability of the home experiencing damage from a hurricane is independent of any other hurricane, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

It gives the probability of exactly x successes on n trials, with p probability.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]  

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The mode of the number of trials needed for q successes is given by:

[tex]M = \frac{q}{p}}[/tex]

In this problem, there is a 0.4 probability of experiencing damage from a hurricane, thus [tex]p = 0.4[/tex].

Item a:

This is the probability of at most 1 damage in 3 hurricanes, which is:

[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]

With [tex]n = 3[/tex].

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{3,0}.(0.4)^{0}.(0.6)^{3} = 0.216[/tex]

[tex]P(X = 1) = C_{3,1}.(0.4)^{1}.(0.6)^{2} = 0.432[/tex]

Then

[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.216 + 0.432 = 0.648[/tex]

0.648 = 64.8% probability that there will be at least two hurricanes from which the home will experience no damage before the second hurricane from which the home will experience damage.

Item b:

Then

[tex]0.432(0.4) = 0.1728[/tex]

0.1728 = 17.28% probability that the home will experience its second damage from the fourth hurricane, given that the home has not experienced two damages from the first two hurricanes.

Item c:

Then:

[tex]M = \frac{3}{0.4}} = 7.5[/tex]

The mode is of 7.5 hurricanes.

A similar problem is given at https://brainly.com/question/24923631

Answer:

1.33

Step-by-step explanation:

Divide 3 by 3, making it one.  Now divide 4 by 3, making it 1.33.

Answer:

No! Both are wrong!

Step-by-step Explanation:

the value of absolute function, (|.|) is always positive

that means -6x always has to be positive

and for -6x to be positive x has to be negative

(since, two negatives make a positive)

therefore, the value of x to the equation will be a negative value and not a positive one.

Ana thinks both positive and negative values of x will be the solution, whereas Ling thinks negative value of x can't be a solution. So, they're both wrong.

ONLY negative value of x will be the solution.

Answer:

1,000 days

Step-by-step explanation:

6 tires per minute = 600 per hour

600 per hour times 10 hours = 6,000 per day

Divide 6,000,000 by 6,000 per day = 1000 days.

Answer:

Okay I got youuu

Step-by-step explanation:

From the point Z go 5 right and 3 units up (5,3), and label it Z'. Do this for L and X, too.

The final answer is Z'(2,3) X'(5,0) L'(3,-1)! Hope this helps!

The relationship between the measured value, error and actual width of the object is |x - 14.5| = 0.02

If the actual width of the caliper is represented as x

Therefore, the equation which represents the scenario described is |x - 14.5| = 0.02

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Answer:

1(79 x 36)

Step-by-step explanation:

Answer:

the shorter man

Step-by-step explanation:

224 cm minus 174.21 = 49.79

49.79/5.56= approximately 9 standard deviations from the mean.

174.21 minus 97.8= 76.41

76.41/5.56= approximately 14 standard deviations from the mean.

bc the shorter man's height is more SD's away from the mean (average) height his height difference is more extreme.

Answer:

C

Step-by-step explanation:

1/4 is .25

4 fourths is 1. 4 times 7 equals 28 hamburgers. one half is two fourths. 28+2=30 hamburgers.

No of hamburgers she can make

[tex]\\ \sf\longmapsto 7\dfrac{1}{2}\div \dfrac{1}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{15}{2}\times \dfrac{4}{1}[/tex]

[tex]\\ \sf\longmapsto \dfrac{60}{2}[/tex]

[tex]\\ \sf\longmapsto 30[/tex]

Answer:

Step-by-step explanation:

You have some mistakes in the sentence. Also, can you add more information? I'd be glad to help you

Answer:

.30times 28.99=$8.697

Answer:

[tex]x=+2\sqrt{2} and-2\sqrt{2}[/tex]

Step-by-step explanation:

[tex]x^2-8=0[/tex]

[tex]x^2=8[/tex]

[tex]\sqrt{x^2} = \sqrt{8}[/tex]

[tex]x=2\sqrt{2}[/tex]

plus or minus

Answer:

He poured 2.5 liters into each container

Step-by-step explanation:

Add 2.75, 1.25, and 3.5 together to get 7.5. Divide 7.5 by 3 and you get 2.5 liters per container.

Answer:

x = -1

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 22.8x to both sides.

Step 3: Add 8 to both sides.

Step 4: Divide both sides by -14.

Therefore, x = -1.

The solution to the equation 4( -2 - 9.2x ) = 3( 2 - 7.6x ) is x = -1.

Given the equation in the question:

4( -2 - 9.2x ) = 3( 2 - 7.6x )

To solve the equation 4(-2 - 9.2x) = 3(2 - 7.6x), distribute the constants and then isolate the variable x:

4( -2 - 9.2x ) = 3( 2 - 7.6x )

4 × -2 + 4 × -9.2x  = 3( 2 - 7.6x )

-8 - 36.8x = 3( 2 - 7.6x )

-8 - 36.8x = 3 × 2 + 3 × -7.6x

-8 - 36.8x = 6 - 22.8x

Collect like terms:

-8 = 6 - 22.8x + 36.8x

-8 - 6 = - 22.8x + 36.8x

Add like terms:

-14 = 14x

14x = -14

Divide both sides by 14:

x = -14/14

x = -1

Therefore, the value of x is -1.

Learn more about equations here: brainly.com/question/14686792

#SPJ3

Answer:

This is SURD, but the question is not well imputed (isn't well formed) some should be in bracket and left with one outside. check it well

Answer:

Martha will walk 1.125 miles.

Step-by-step explanation:

3/4 = 0.75

1.5 * 0.75 = 1.125

Answer:

The answer is 77848.1336