A fruit bowl has 5 apples 7 oranges and 4 bananas. What is the ratio of apples to fruit?

Answer:

For F=GMm/r^2

[tex]F = \frac{GMm}{r^{2} }[/tex]

a. [tex]M = \frac{Fr^{2} }{Gm}[/tex]

b. [tex]r = \sqrt{\frac{GMm}{F}}[/tex]

M=kxa^3/p^2

[tex]M = \frac{kxa^{3} }{p^{2} }[/tex]

a. [tex]p = \sqrt{\frac{kxa^{3} }{M}}[/tex]

b. [tex]a = \sqrt[3]{\frac{Mp^{2} }{kx}}[/tex]

Step-by-step explanation:

To solve for the unknown quantity, we will make the unknown quantity the subject of the given equation.

For F=GMm/r^2

a. M =

F=GMm/r^2

[tex]F = \frac{GMm}{r^{2} }[/tex]

The first thing to do is cross multiply, so that the equation gives

[tex]Fr^{2} = GMm[/tex]

Now, divide both sides of the equation by [tex]Gm[/tex], we then get

[tex]\frac{Fr^{2} }{Gm} = \frac{GMm}{Gm}[/tex]

Then, [tex]\frac{Fr^{2} }{Gm} = M[/tex]

Hence,

[tex]M = \frac{Fr^{2} }{Gm}[/tex]

b. r =

F=GMm/r^2

[tex]F = \frac{GMm}{r^{2} }[/tex]

Likewise, we will first cross multiply, we then get

[tex]Fr^{2} = GMm[/tex]

Now, divide both sides by [tex]F[/tex], so that the equation becomes

[tex]\frac{Fr^{2} }{F} = \frac{GMm}{F} \\[/tex]

∴ [tex]r^{2} = \frac{GMm}{F} \\[/tex]

Then,

[tex]r = \sqrt{\frac{GMm}{F}}[/tex]

For M=kxa^3/p^2

a. P =

M=kxa^3/p^2

[tex]M = \frac{kxa^{3} }{p^{2} }[/tex]

The first thing to do is cross multiply, so that the equation becomes

[tex]Mp^{2} = kxa^{3} \\[/tex]

Now, divide both sides by M, we then get

[tex]\frac{Mp^{2} }{M} = \frac{kxa^{3} }{M}[/tex]

∴ [tex]p^{2} = \frac{kxa^{3} }{M}[/tex]

Then,

[tex]p = \sqrt{\frac{kxa^{3} }{M}}[/tex]

b. a =

M=kxa^3/p^2

[tex]M = \frac{kxa^{3} }{p^{2} }[/tex]

Also, we will first cross multiply to get

[tex]Mp^{2} = kxa^{3} \\[/tex]

Then, divide both sides of the equation by [tex]kx[/tex] to get

[tex]\frac{Mp^{2} }{kx}= \frac{kxa^{3} }{kx}\\[/tex]

[tex]\frac{Mp^{2} }{kx}= a^{3}[/tex]

∴ [tex]a^{3} = \frac{Mp^{2} }{kx}[/tex]

Then,

[tex]a = \sqrt[3]{\frac{Mp^{2} }{kx}}[/tex]

Answer:

Coterminal angles are angles with the same terminal side.

When we have an angle A, the coterminal angles can be written as:

A + k*(360°)

where k can be any integer number. (Notice that when we have k = 0, means that A is coterminal with itself)

Then the set of all the coterminal angles to -225° is:

{-225° + k*360°I k ∈ Z}

where Z is the set of integer numbers.

Answer:

35^8

Step-by-step explanation:

5^8 x 7^8

(5 x 7)^8

=35^8

Answer: Maximum of 5 days

Step-by-step explanation: To find that conclusion, you subtract the "610" from "1,800" getting "1,190". But to find the amount of days you would need to divide "1,190" by "238" to get your 5 days.

An equation is formed of two equal expressions. The maximum number of days Wayne can stay at a resort within his budget is 5.

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

Given that Wayne's budget for the vacation is $1,800. Therefore, the total amount spent by Wayne during the vacation should be equal to his budget.

Also, it is given that the airfare for the vacation is $610. also, the cost of staying in a hotel for a day is $238. Therefore, the expression for x days staying can be written as,

Total cost = $610 + $238(x days)

Since the total cost or expenses should be equal to the budget, therefore, we can write,

Total cost = budget

610 + 238x = 1800

238x = 1800 - 610

238x = 1190

x = 1190 / 238

x = 5

Hence, the maximum number of days Wayne can stay at a resort within his budget is 5.

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Answer:

ADD 4

Step-by-step explanation:

you want to get 2x by itself so you want to do opposite of -4 so you would do +4 and they cancel out, and what you do to one side you do to the other so

2x = 12 +4

2x = 16

and then you would divide the 2 on both sides so

x = 8 ... just in case you later need to know what x is :)

Answer:

1/4 is greater than 1/10, 2/10, and 1/5 but not 4/5, and 2/4

Step-by-step explanation:

1/4 = 25%

4/5 = 80%

2/4 = 50%

1/10 = 10%

2/10 = 20%

1/5 = 20%

Answer:

A) [tex]y=-5x-4[/tex]

B) [tex]y=-5x+4[/tex]

C) [tex]y=\frac{x-4}{5}[/tex]

Step-by-step explanation:

So we have the equation:

[tex]y=5x+4[/tex]

Let's write this in function notation. Thus:

[tex]y=f(x)=5x+4[/tex]

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

[tex]f(x)=5x+4\\-(f(x))=-(5x+4)[/tex]

Simplify:

[tex]-f(x)=-5x-4[/tex]

B) To flip a function over the y-axis, change the variable x to -x. Thus:

[tex]f(x)=5x+4\\f(-x)=5(-x)+4[/tex]

Simplify:

[tex]f(-x)=-5x+4[/tex]

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

[tex]f(x)=5x+4[/tex]

Switch:

[tex]x=5f^{-1}(x)+4[/tex]

Subtract 4 from both sides:

[tex]x-4=5f^{-1}(x)[/tex]

Divide both sides by 5:

[tex]f^{-1}(x)=\frac{x-4}{5}[/tex]

And we're done :)

Answer:

Q (3.4)

Step-by-step explanation:

Midpoint for point (x1,y1) and (x2,y2) is given by

(x1+x2)/2, (y1+y2)/2.

__________________________________________________________

Given

one endpoint ( R(1, -1)

midpoint is M(2,1.5)

we have to find coordinates of endpoint Q

let Q(x,y)

Thus, for x coordinate of  midpoint

2 = (1+x)/2

=> 2*2 = 1+x

=> 4 = 1+x

=> x = 4-1 = 3

x coordinate of midpoint m is 3

________________________

for y coordinate of  midpoint

1.5 = (-1+y)/2

=> 2*1.5 = -1+y

=> 3 = -1+ y

=> y = 3 + 1 = 4

y coordinate of midpoint m is 4

Thus,  the coordinates of endpoint Q (3.4)

Answer:

Option C

Step-by-step explanation:

There should be no difference ($0). This is  true about a balanced budget. Therefore, the correct option is option C among all the given options.

When your expenses are equivalent or lower than to your income, you have a balanced budget. In other words, your ability to live within your means will be shown by a balanced budget.

Any period during that a budget is not in deficit is sometimes referred to as a balanced budget. In other words, your budget is balanced if it is at a profit and has income left over. There should be no difference ($0). This is  true about a balanced budget.

Therefore, the correct option is option C among all the given options.

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Answer:

⅓y

Step-by-step explanation:

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

Answer: The area  is 13[tex]\pi[/tex]ft^2 or  40.84 ft^2

Step-by-step explanation:

First find the area of the square and subtract it from the area of the circle.

The area of a square is  one of the side length squared.

A= 6^2

A = 36  

Now find the area of the whole circle.As it indicates that the diameter is 14ft and to find the area of a circle,we need square the radius and multiply it by pi.

Since the diameter is 14 divide it by 2 to find the radius.  14/2 = 7  

A= 7^2*[tex]\pi[/tex]  

A = 49[tex]\pi[/tex]   We will leave the area in terms of pi.

49[tex]\pi[/tex] - 36 = 13[tex]\pi[/tex]

Answer:

Step-by-step explanation:

What is the probability that a randomly selected person with adequate lung capacity is a non-exerciser?

This depends on statistics given in the prior part of the question.

From this question, i can pick that there is an assumption or statement (in the full question) that exercisers have adequate lung capacity, in a population of both exercisers and non-exercisers.

Data that will help solve this include:

- Population Count or Total number of subjects in the population

- Number of exercisers

- Number of non-exercisers

- Number of subjects with adequate lung capacity

- Number of subjects with inadequate lung capacity

The formula to get the desired answer would be:

Number of non-exercisers

Number of persons with adequate lung capacity

The figure you get from this computation is the answer you seek!

Since it is a probability figure, it must lie between the values of 0 and 1.

Answer:

D. 6 feet.

Step-by-step explanation:

The third longest side of ABCD is 12 feet long and the third longest side of EFGH is 18 feet long.

As they are similar the corresponding sides are in the same ratio so

12/18 =  x/9 where x is the 4th side of ABCD.

2/3 = x/9

3x = 18

x = 6 feet.

Answer:

Step-by-step explanation:

Given the set of datas 3, 7 and 2, we are to evaluate the folowing;

Σ2X – 2 and Σ(X – 1)² =where X are the individual datas.

We will substitute each of the data as value of X and ten take the sum as shown;

For Σ2X – 2

Σ2X – 2 = [2(3)-2]+[2(7)-2]+[2(2)-2]

Σ2X – 2 = (6-2)+(14-2)+(4-2)

Σ2X – 2 = 4+12+2

Σ2X – 2 = 18

For Σ(X – 1)² where x values are also 3, 7 and 2 we will have;

Σ(X – 1)² = (3 – 1)²+(7 – 1)²+(2 – 1)²

Σ(X – 1)² = 2²+6²+1²

Σ(X – 1)² = 4+36+1

Σ(X – 1)² = 41

Answer:

C=0,10E+5

Step-by-step explanation:

La respuesta es que la expresión que indica el costo mensual "C" en función de la energía "E" consumida es:

C=0,10E+5

Esto teniendo en cuenta que se indica que hay una tarifa fija de $5 por mes y que a esto se debe sumar el resultado de multiplicar la energía consumida por el valor del kilowatt-hora.

Answer:

Step-by-step explanation:

4x12-5x6-14=0, the highest power of the variable in this equation is 12 so to make it a quadratic equation we should replace x12 by y2. Hence to rewrite the given equation as quadratic just substitute x6=y.

Answer:

8

Step-by-step explanation:

Answer:

Quadrant 1:

(6,4) and (3,2)

Quadrant 2:

(-3,4)

Quadrant 3:

(-2,-8) and (-1,-12)

Quadrant 4:

(6,-5)

HOPE THIS HELPS!!!!!! :)

<3333333333

Answer:

35000

Step-by-step explanation:

Answer:

Hey!

Your answer is 15,360!

Step-by-step explanation:

4% of 16,000 is 640

SO...

To find out the last year's amount of voters we have to minus 640 from 16,000...

16,000 - 640 = 15,360

HOPE THIS HELPED!!

Answer:

  x ≤ -7

Step-by-step explanation:

Eliminate parentheses using the distributive property.

  -8 -2x ≥ 40 +6x +8

  -8 ≥ 48 +8x . . . . . . . . . add 2x

  -56 ≥ 8x . . . . . . . . . . . subtract 48

  -7 ≥ x . . . . . . . . . . . . . . divide by 8

The solution is x ≤ -7.

Answer:

The correct option is;

b. Simpsons Rule

Step-by-step explanation:

The midpoint rule involves the estimation of the area under the curve with the aid of rectangular shaped approximations

The trapezoidal rule, involved the approximation of the curve by linear approximations by using piece by piece linear functions

In the Simpson's rule the curve is approximated using piece by piece quadratic functions. The intervals are partitioned into even numbered smaller intervals having the same width and we approximate the resulting integrals of the intervals.

Answer:

The GCF of 30 and 45 is

15.

Hope it helps.

Answer:

y = 12

Step-by-step explanation:

Use the equation y = kx

Plug in x and y to find k:

2 = k(16)

1/8 = k

Then, plug in 1/8 as k and 96 as x to find y:

y = 1/8(96)

y = 12

Answer:

4

just go with it the explaining  would take to long

Step-by-step explanation:

Answer:

y=3x+25

Step-by-step explanation:

So to find the slope-intercept we need to find the slope and the y intercept. we already know the slope so to find the y intercept you subtract 2 from the x coordinate and 6 from the y, because the slope is 3. So the answer is y=3x+23

Answer:

y=3x+25

Step-by-step explanation:

We are given a point and the slope, so let's use the slope-intercept equation.

[tex]y-y_{1}=m(x-x_{1})[/tex]

where m is the slope and (x₁, y₁) is the point given. The slope is 3 and the point is (2,31). Therefore,

[tex]m= 3 \\x_{1}=2\\y_{1}=31[/tex]

Substitute the values into the equation.

[tex]y-31=3(x-2)[/tex]

We want the equation in slope intercept form: y=mx+b. We must isolate y on the left side of the equation.

First, distribute the 3. Multiply each term inside the parentheses by 3.

[tex]y-31= (3*x)+(3*-2)[/tex]

[tex]y-31=(3x)+(-6)[/tex]

[tex]y-31=3x-6[/tex]

Next, add 31 to both sides of the equation.

[tex]y-31+31=3x-6+31[/tex]

[tex]y=3x-6+31[/tex]

[tex]y=3x+25[/tex]

This equation is in slope intercept form, so our final answer is:

y= 3x+25 (slope⇒3 , y-intercept ⇒25)

Answer:

Hey there!

2x+3y=18

2(3)+3(4)=18

6+12=18

18=18, so this is a valid ordered pair.

Let me know if this helps :)

Step-by-step explanation:

[tex] \frac{1}{4} \boxed{?} \frac{3}{8} \\ \\ \frac{1}{4} = \frac{2}{8} \\ \\ \because \: 2 < 3 \\ \therefore \: \frac{1}{4} \boxed{ < } \frac{3}{8} [/tex]

Answer:

i need the number line first lol

Step-by-step explanation:

mark brainliest

Answer: if your on apeand your options were

79,72,63,83 the answer is 72