What is x and y if you have 4x-2y=5 and y=2x+10

Final answer:

To convert 3 square feet to square centimeters, multiply by the correct conversion factor of 9.29 × 10⁻².

Explanation:

To convert square feet to square centimeters, you need to understand the conversion factor between these two units. Since 1 foot is equal to 30.48 centimeters and area is defined as the product of the two dimensions, you need to square the conversion factor of 30.48 to convert square feet to square centimeters.

So, the correct conversion factor is (30.48 cm/1 ft)².

To convert 3 square feet to square centimeters, you can use the conversion factor as follows:

(3 ft²) × (30.48 cm/1 ft)² = 274.32 cm²

Therefore, the statement is True as multiplying 3 by the correct conversion factor of 9.29 × 10⁻² will indeed give you the value of 274.32 square centimeters.

Answer:

3/4

Step-by-step explanation:

- He ate 1/4

- 4-1=3

- 3/4 of the pizza is left

Final answer:

The fraction representing the remaining pizza after Jason ate 1/4 of it is 3/4. We calculate this by subtracting the portion Jason ate (1/4) from the whole (4/4).

Explanation:

If Jason ate 1/4 of the whole pizza for dinner, we can easily calculate the fraction that represents the amount of pizza remaining. To find out the remaining portion of the pizza, we subtract the portion Jason ate from the whole. Since the whole is considered to be 1 (or 4/4 in this case, as there are four quarters in a whole), we subtract 1/4 from 4/4:

Remaining pizza = Whole pizza - Portion eaten by Jason

Remaining pizza = 4/4 - 1/4

Remaining pizza = (4 - 1)/4

Remaining pizza = 3/4

Therefore, the fraction that represents the remaining pizza after Jason has eaten is 3/4.

Answer:

[tex]\frac{1}{216}[/tex]

Step-by-step explanation:

We have been given that three cubes are being rolled and we are required to find the probability of getting 4 on each of the three cubes.

We know the probability of rolling a 4 on one cube will be [tex]\frac{1}{6}[/tex]. Since there are 3 cubes, the probability of rolling 4 in each of the individual cubes will be [tex]\frac{1}{6}[/tex].

But we want 4 to be rolled on all three cubes at once, in order for that to happen, we need to get a four on first cube AND second cube AND third cube. Since there is AND between the events, we will multiplied their probabilities as per counting principle. Thus, the required probability of rolling 4 on each of the three cubes is [tex]\frac{1}{6}\cdot\frac{1}{6}\cdot\frac{1}{6}[/tex] which simplifies to [tex]\frac{1}{216}[/tex].

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

1  2  3  4  5  6  7  8  9  10  11  12  13  14  15  

BOLD number are multiples of 4 or 6

4 out of the 15 numbers are a multiple of either 4 or 6,

so the probablilty would be 4/15 or a 26.6% chance.

The probability that the result is a multiple of 6 or a multiple of 4 is 4 /15.

The spinner has 15 equal areas numbered 1 through 15.

If the spinner is spun one time the probability of getting a multiple of 6 or a multiple of 4 can be calculated below;

The numbered side are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 14, 15.

multiple of 6 are 6 and 12.

multiple of 4 are 4, 8 and 12

union of the set = 4, 6, 8, 12

number of acceptable value = 4

The probability of getting a multiple of 6 or a multiple of 4 = number of acceptable value / number of possible value

probability of getting a multiple of 6 or a multiple of 4 = 4 / 15 = 4 / 15

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Answer:

-10

Step-by-step explanation:

Write out the equation

5n-8=n-48

move like terms to the same side

4n=-40

divide 4n and 4 by 4 to get n by itself.

n=-10

The number is -10.

An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.

For example, 3x + 5 = 15.

Given,

Eight less than 5 times a number is 48 less than the number

Let the number be x

then statement can be written as

5x - 8 = x - 48

5x - x = - 48 + 8

4x = -40

x = 40/4

x = -10

Hence, -10 is the number.

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Answer:

y = 3 and x = -2  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Solve for y                                                  

4y - 2x = 16

-y + 2x = -7

3y    =  9

y = 9 ÷ 3

y = 3

Input y to find x

2x = 4(3) - 16

2x = 12 - 16

2x = -4

x = -4 ÷ 2

x = -2

Input both x and y to see if it works

2(-2) = 4(3) - 16                                2(-2) - 3 = -7

-4 = 12 -16                                         -4 -3 = -7

-4 = -4                                                 -7 = -7

The solution to the system of equations is [tex]x = -2[/tex] and [tex]y = 3[/tex].

To solve the system of equations given by

Here is a step-by-step guide on how to solve for [tex]x[/tex] and [tex]y[/tex].

Step 1: Simplify the first equation

Start by rearranging the first equation to express it in terms of one variable. We can isolate [tex]y[/tex]:

[tex]2x = 4y - 16[/tex]
[tex]4y = 2x + 16[/tex]
[tex]y = \frac{2x + 16}{4}[/tex]
[tex]y = \frac{x}{2} + 4[/tex]

Step 2: Substitute [tex]y[/tex] in the second equation

Now, we can substitute [tex]y[/tex] in the second equation:

[tex]2x - \left(\frac{x}{2} + 4\right) = -7[/tex]

Step 3: Solve for [tex]x[/tex]

Distributing the negative and simplifying:

[tex]2x - \frac{x}{2} - 4 = -7[/tex]

Multiply every term by 2 to eliminate the fraction:

[tex]4x - x - 8 = -14[/tex]

This simplifies to:

[tex]3x - 8 = -14[/tex]
[tex]3x = -14 + 8[/tex]
[tex]3x = -6[/tex]
[tex]x = -2[/tex]

Step 4: Substitute [tex]x[/tex] back to solve for [tex]y[/tex]

Now substitute [tex]x = -2[/tex] back into the equation for [tex]y[/tex]:

[tex]y = \frac{-2}{2} + 4[/tex]
[tex]y = -1 + 4[/tex]
[tex]y = 3[/tex]

[tex]x^2=\dfrac{121}{196}\iff x=\pm\sqrt{\dfrac{121}{196}}\\\\x=-\dfrac{\sqrt{121}}{\sqrt{196}}\ \vee\ x=\dfrac{\sqrt{121}}{\sqrt{196}}\\\\\boxed{x=-\dfrac{11}{14}\ \vee\ x=\dfrac{11}{14}}\\\\\sqrt{a}=b\iff b^2=a\\\\\sqrt{121}=11\ \text{because}\ 11^2=121\\\\\sqrt{196}=14\ \text{because}\ 14^2=196[/tex]

Answer:

Price of floor seat =$ 17 and

Price of stadium seats = $8.5

Step-by-step explanation:

Let x represents the cost of floor seats and y represents the cost of stadium seats.

Then, from the given condition, we have;

Total cost for selling floor seats =  62x  and the total cost for stadium seats = 120y.

Since, a math club earn $2,080.

⇒ 62x + 120y = 2080                         .....[1]

Also, it is given that the floor seats cost twice as much as Stadium seats.

⇒ x = 2y                                               .....[2]

Substitute this equation [2] in [1] we get;

[tex]62(2y) + 120y = 2080[/tex]

Simplify:

124y + 120y =2080

Combine like terms;

244y =2080

Divide both sides by 144 we get;

[tex]y = \frac{2080}{144} = 8.5[/tex]

⇒y = $8.5

Substitute this in [2] we get x;

x = 2(8.5) = 17

i.e, x = $ 17

Therefore, the price of floor seat is, $ 17 and the price of stadium seats is, $8.5

Answer:

A = 2/5

Step-by-step explanation:

r = sqrt(v) / (pi*h)

10 = sqrt(v) /(pi * h)

Solve for the volume by multiplying by pi * h on each side

10 * pi * h = sqrt(v)

Now square each side

(10*pi* h) ^2 = v

Now we have a second cylinder with a height that is 25 times the height of the other cylinder  but the same volume.  Solving for volume, we will multiply by

r = sqrt(v) / (pi*h)

r = sqrt(v) /(pi *25h)

r* pi * 25h = sqrt(v)

Now square each side

(r*pi*25h) ^2 = (sqrtv) ^2

(r*pi*25h)^2 = v

The problem states the the 2 cylinders have the same volume

(10 * pi * h) ^2 =  ( r * pi * 25h) ^2

Take the square root of each side

10*pi*h = r*pi * 25h

Divide each side by pi and h

10 = 25r

Divide by 25

10/25 =r

2/5 =r

Answer:

The pole is 6 ft tall

Step-by-step explanation:

We can solve this using ratio's

4ft tall Mary        x ft tall  pole

-----------        =     -------------------

10 ft shadow      15 ft shadow

Using cross products

4 * 15 = 10 x

60 = 10x

Divide by 10

60/10 = 10x/10

6 =x

The pole is 6 ft tall

Answer:

it is 6 feet

Step-by-step explanation:

i dont have much of an explaination except that you have to draw a diagram inorder not tom get confused.

hope it helps.

Answer:

2520

Step-by-step explanation:

There are 405 deer per 45 tags.

The ranger tagged 280 deer.

No. of deer = 280 × 405/25

No. of deer = 280 × 9

No. of deer = 2520 deer

There are 2520 deer in the forest

Answer:

Total deers in the forest is 640

Step-by-step explanation:

Since the Number of tagged deer is 280

the number of caught deer is 405 after all tagged deers were released

Surprisingly 45 of 280 of tagged deer was found hence the remaining tagged deer has exscaped in to the forest

The number of deers in the forest is

405-45+250=640

The remaining tagged deer that did not return is

280-45= 235

Answer:

51,400 thats my answer hope it helps!

Equivalent fractions are fractions that are equal to each other.

So they might have different denominators

and different numerators but they're

going to be equal fractions.

Answer:

72 is 8 times as many as 9

Step-by-step explanation:

72 is the product of 8 groups of nine

72 is 9 times as many as 8 is the answer that completes the statement.

To solve the equation 72 = q × 8, we need to find the value of q.

By dividing both sides by 8, we get:

72/8 = q × 8/8

q = 72/8

q = 9.

This means that 72 is 9 times greater than 8 and to correctly complete the statement, we write: 72 is 9 times as many as 8.

Answer:

Part A: $27.32

Part B: $32.24

Step-by-step explanation:

Part A:

$25.30 is the cost, since we are increasing it by the 8% meals tax, we are going to do 25.3 * the decimal form of 8%, or 0.08, plus one so that we already have our 25.3 factored in. Which equals 25.3 * 1.08, which equals 27.324, which we round to $27.32.

Part B:

We take our $27.32 and we times it by 1.18 for the reason stated above, which equals 32.2376, which is rounded to $32.24.

Answer:

The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is  5.

Step-by-step explanation:

When we add the 5 inside the absolute value, we shift the graph to the left 5 units.   The y intercept  of abs (x) is 0 and the y intercept of y = abs(x+5) is 5 .  The x intercept of  y =abs (x) is 0 and the x intercept of y =abs(x+5) is -5.  The graph has the same shape

Answer:

it says it already a function so your just plotting (-4,10) (0,8) (4,6) (10,3) on a graph, there isnt a graph to do it for you. Sorry if im reading this wrong :(

Step-by-step explanation:

Answer:

The points represent a linear function (first-order polynomial).

Step-by-step explanation:

The points are included in the attached image, which depicts a constant slope and, consequently, represents a linear function (first-order polynomial).

Answer:

2 3/8

Step-by-step explanation:

1 1/4 + 1 1/8

We need to get a common denominator to add the fractions.  The common denominator is 8

1 1/4 *2/2  + 1 1/8

1 2/8 + 1 1/8

2 3/8

Answer:

$22.30

Step-by-step explanation:

To determine how much money Chapman saved from purchasing a gift for his mother, calculate 2/5 of $55.75, which equals $22.30.

To find how much money Chapman saved:

Calculate 2/5 of $55.75: (2/5) x $55.75 = $22.30

Therefore, Chapman saved $22.30

Answer: The answer is 60.

Step-by-step explanation: To determine this, we need to square root the number in question. In this case, that’s 3600.

The square root of 36 is 6, so the square root of 3600 is 60, following the rules of zeros.

I hope this helps!

Answer:

10.) y = -5x + 7

12.) y = 3/2x - 8

Step-by-step explanation: Since you have to create a new line that us parallel, the slopes will be equivalent. So the mx value will not change. Now we can plug in the coordinates to find the value of b.

10.)

2 = -5(1) + b.

2 = -5 +b

b = 7

therefore...

y = -5x + 7

12.)

2(-5) = 3(2) + b

-10 = 6 + b

b = -16

therefore...

2y = 3x - 16

simplified:

y = 3/2x - 8

Answer:

Solutions are  (3, -8) and (5, -10)

Step-by-step explanation:

From the equation x + y + 5 = 0 :-

x = -y - 5

Substitute for x in the other equation:

y = (-y - 5)^2 - 9(-y-5) + 10

y = (y^2 + 10y + 25) + 9y + 45 + 10

y^2 +  18y + 80 = 0

( y + 8)(y + 10) = 0

y  = -8, -10

Substitute these values of y in the equation x + y + 5 = 0:-

x = -8:-

x - 8 + 5 = 0 so x = 8-5 giving.x = 3

x = -10:-

x - 10 + 5 = 0 sox = 10-5 giving x = 5

Answer:

n=2

Step-by-step explanation:

I am assuming that you want to solve this algebraic equation

4n+3 =11

Subtract 3 from both sides

4n+3-3=11-3

4n =8

Divide each side by 4

4n/4 = 8/4

n =2

[tex]f(x)=x^2;\ g(x)=x-3\\\\(g\ \circ\ f)(x)=(x^2)-4=x^2-3\\\\\text{Put x = -2 to the equation}\\\\(g\ \circ\ f)(-2)=(-2)^2-3=4-3=1\to\boxed{a)}[/tex]