What is the correct answer to the equation

The value of y in the given equation equals -3.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given equation is,

5(y + 2/5) = -13

We have to find the value of y.

Using the distributive property,

5(y + 2/5) = (5y) + (5 × 2/5)

So,

(5y) + (5 × 2/5) = -13

5y + 2 = -13

Subtracting both side by 2, we get,

5y = -13 - 2

5y = -15

Dividing both sides by 5,

y = -3

Hence the value of y is -3.

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Final answer:

To solve the equation 5(y + 2/5) = -13, you distribute the 5 across the parentheses, subtract 2 from both sides, and then divide by 5 to find that y = -3.

Explanation:

To find the value of y in the equation 5(y + 2/5) = -13, we will follow several steps to isolate y. First, we apply the distributive property of multiplication over addition, which gives us 5y + 2 = -13.

Next, we subtract 2 from both sides of the equation, obtaining 5y = -15. Finally, we divide both sides of the equation by 5 to solve for y, resulting in y = -3.

Answer:

What is the tables?

Step-by-step explanation:

Answer:

64 is a perfect square, because the square root of 64 is 8. If you mean divided by 64, it would be 16 because 16x4=64.

Answer:

20

Step-by-step explanation:

just substitute 0 for time in your equation, you will get 20.

Answer:115books= 2bookcases

360books=xbookcases

115x=2×360

115x=720

x=720/115

x=6.3 ~ 6bookcases

Step-by-step explanation:

Answer:

7 book cases

Step-by-step explanation:

Add 115 to itself until you reach past 360 (there is a remainder). 115 added 3 times is 345. 115 books=2 bookcases. So you multiply: 2×3=6. Since there is not enough room for all 360 books in 6 bookcases, you need 1 more, which makes it 7 bookcases.

Answer:

they get $2.25

Step-by-step explanation:

9 divided by 4 equals

Answer:

30 times

Step-by-step explanation:

$400 minus $250=$150

$150 divided by $5=30 so she can go 30 times

Answer:

I think it's 96 not sure though

Answer:

40

y = 30.85

10.85

Step-by-step explanation:

One complete cycle is between:

x = 4 and x = 44

Period: 44-4 = 40 cm

Range: 41.7 - 20 = 21.7

Amplitude: 21.7/2 = 10.85

Mean line:

y = 20 + 10.85

y = 30.85

The period of the cosine function is 20, its midline equation is y = 32, and its amplitude is [tex]$\boxed{12}$[/tex].

To analyze the given data, we can notice the sinusoidal nature of the relationship between the number of seconds an object has been moving (x) and its velocity (v(x)$. This indicates that a cosine function can model the data.

Now, let's find the period, midline, and amplitude of the cosine function that models this data.

The period of a cosine function is the distance it takes for the function to complete one full cycle. Looking at the data, we can see that the interval between consecutive peaks or troughs (e.g., between 4 and 24, or 24 and 44) is 20 seconds.

Hence, the period of the cosine function is 20.

The midline of a cosine function is the horizontal line that divides the maximum and minimum values of the function. In this case, since the data oscillates around a central value, it suggests that the midline is not at y = 0.

Instead, it's the average of the maximum and minimum values of the data. The maximum value is 44 and the minimum value is 20, so the midline would be the average of these, which is (44 + 20)/2 = 32.

The amplitude of a cosine function is half the difference between the maximum and minimum values.

In this case, the maximum value is 44 and the minimum value is 20, so the amplitude is (44 - 20)/2 = 12.

So, completing the statements:

- The period of the cosine function is 20.

- The equation of the midline of the cosine function is y = 32.

- The amplitude of the cosine function is [tex]$\boxed{12}$[/tex].

Answer:

4

Step-by-step explanation:

1 + 3 = 4

Answer:

cytokineses

Step-by-step explanation:

The phase of the cell cycle where the cytoplasm splits apart and the cell separates into two identical daughter cells is referred to as cytokinesis.

The phase of the cell cycle in which the cytoplasm splits apart and the cell separates into two identical daughter cells is called cytokinesis.

Cytokinesis usually follows the other stages of the cell cycle. To put these stages in context: anaphase is the phase in which the chromosomes separate, followed by telophase, in which the separated chromosomes reach opposite ends of the cell. Cytokinesis then occurs, physically splitting the cell in two and thereby creating two identical daughter cells.

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Step-by-step explanation:

Radius is half of the diameter

Circumference is 2*pi*radius

Area is pi*radius^2

So r (radius)= 10.3

C (circumference)=64.72

and A (area)=333.29

feel free to ask more questions :)

Step-by-step explanation:

Diameter = 20.6

[tex]radius = \frac{diameter}{ = 2} = \frac{20.6}{2} = 10.3 \: ft \\ \\ c = \pi \:d = 3.14 \times 20.6 = 64.68 \: ft \\ [/tex]

Answer:

m = 1/3

Step-by-step explanation:

Answer: m = 1/3

Step-by-step explanation: Lets solve the equation |6m - 2| = 0.

|6m - 2| = 0

Find absolute values of 6m - 2

-6m + 2 = 0          (Now solve both sides of the equation.)

-6m + 2 - 2 = 0 - 2

-6m = -2

-6m/-6 = -2/-6

m = 1/3

Answer:

B  v=27(0.8)

Step-by-step explanation:

if you multipy 27,000 by 0.8 you get 21,600 if you do it again you get 17,280 and so on

Answer:

The answer is B

Step-by-step explanation:

I or the question right , just trust me

Answer:

x= -b/2a

Step-by-step explanation:

hello :

 y = ax²+bx+c .... (a≠0)

the equation of the axis of symmetry of this graph is : x= -b/2a

Answer:

4 Hr.

Step-by-step explanation:

Given,

Your pump alone can empties the water in = 8 hrs

With the help of friend pump it take = 2.67 hr

time taken by friends to empty the whole tank = t = ?

We have,

[tex]\dfrac{1}{8}+\dfrac{1}{t}= \dfrac{1}{2.67}[/tex]

[tex]\dfrac{1}{t}= \dfrac{1}{2.67}-\dfrac{1}{8}[/tex]

[tex]\dfrac{1}{t}=0.2499[/tex]

[tex]t = \dfrac{1}{0.2499}[/tex]

[tex]t = 4\ hrs[/tex]

Time taken to empty the tank by the friends pump alone is equal to 4 Hr.

The time taken should be 4 hours.

Since Your pump empties the water from a swimming pool in 8 hours. When your friend's pump is used together with your pump, the pool is emptied in 2 hours and 40 minutes.

So, here the time taken be

[tex]1\div 8 + 1\div t = 1\div 2.67\\\\1\div t = 1\div 2.67 - 1\div 8\\\\1\div t = 0.2499[/tex]

t = 4 hours

hence, The time taken should be 4 hours.

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Answer:

[tex]7x^2 + 2x + 2[/tex]

Step-by-step explanation:

Step 1:  Combine

[tex]2x^2 + 3x - 7 + 5x^2 - x + 9[/tex]

[tex](2x^2 + 5x^2) + (3x - x) + (-7 + 9)[/tex]

[tex]7x^2 + 2x + 2[/tex]

Answer:  [tex]7x^2 + 2x + 2[/tex]

Answer: [tex]x^{2} +4x - 12 = 0[/tex]

Step-by-step explanation:

To find the quadratic equation when the roots are given , we will use the formula:

[tex]x^{2} -[/tex] sum of roots[tex](x)[/tex] + product of roots = 0

sum of roots = -6 + 2 = -4

product of roots = -6(2) = -12

substituting into the formula, we have

[tex]x^{2} - (-4) +(-12) = 0[/tex]

[tex]x^{2} +4x - 12 = 0[/tex]

Answer:

The answer is A. (or the first one)

Step-by-step explanation:

It's not D because the median is 46. It is not B or C either because the IQR is 35 and the OQR is 53.5 and A is the only one that has that. Hope it helped :)

Answer:

a on ed 2020

Step-by-step explanation:

Answer:

the answer is 41

Step-by-step explanation:

90-49=41

Answer:

b is 49 because 90-41equals 49

Answer:

Step-by-step explanation:

3.8×10^{-5}:8.1×10^3

[tex]\frac{3.8 \times 10^{-5}}{8.1 \times 10^3} \\\approx4.69 \times 10^{-9}[/tex]

Performing this mathematical operation in scientific notation gives us the answer 4.691 x 10^-8.

To solve this mathematical problem, we will first divide the coefficients and then subtract the exponents of the 10s, because we are dividing. The operation 3.8 ÷ 8.1 equals approximately 0.4691. However, we have to express the coefficient in scientific notation, so we adjust it to 4.691. At the same time, we adjust the exponent by adding 1 to it, to account for the fact that we moved the decimal one place. The operation -5 - 3 equals -8. So, the final answer is [tex]4.691 \times 10^-8.[/tex]

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Answer:

The angles are 126 and 54

Answer:

option A. 11 units

Step-by-step explanation:

we know that

The figure show a parallelogram

In a parallelogram the diagonals bisect each other

so

[tex]PZ=\frac{1}{2}XZ[/tex]

[tex]XP=PZ[/tex]

substitute the given values

[tex]4x-1=\frac{1}{2}(7x+1)[/tex]

solve for x

[tex]8x-2=7x+1\\8x-7x=1+2\\x=3[/tex]

Find the value of PZ

[tex]PZ=4x-1[/tex]

substitute the value of x

[tex]PZ=4(3)-1=11\ units[/tex]

therefore

[tex]XP=PZ=11\ units[/tex]

Answer:

The function is increasing in the interval (-5,∞)

Step-by-step explanation:

we have

[tex]f(x)=\frac{1}{2}x^2+5x+6[/tex]

This is a vertical parabola open upward

The vertex represent a minimum

The vertex is the point (-5,-6.5)

The domain is all real numbers

The range is the interval [-6.5,∞)

so

At the left of the x-coordinate of the vertex the function is decreasing and at the right of the x-coordinate of the vertex the function is increasing

therefore

The function is increasing in the interval (-5,∞) and the function is decreasing in the interval (-∞,-5)

Answer:

(–5, ∞)

Step-by-step explanation:

This is a vertical parabola open upward

The vertex represent a minimum

The vertex is the point (-5,-6.5)

The domain is all real numbers

The range is the interval [-6.5,∞)

so

At the left of the x-coordinate of the vertex the function is decreasing and at the right of the x-coordinate of the vertex the function is increasing

therefore

The function is increasing in the interval (-5,∞) and the function is decreasing in the interval (-∞,-5)

Answer:

  b. x(x +4)

Step-by-step explanation:

The perimeter is 4 times the length of one side, so is ...

  P = 4(x +4)

The area is the square of the length of one side, so is ...

  A = (x +4)(x +4)

The difference in these values is ...

  A - P = (x +4)(x +4) - 4(x +4)

The latter factor can be factored out to give ...

  A - P = (x +4 -4)(x +4)

  A - P = x(x +4) . . . matches B

Answer:

its 6

Step-by-step explanation:

A soccer ball is in the form of a Sphere.

Volume of a Sphere: V = (4/3)πr3

In this case, V = 288π cm3. So:

1) Substitute the known value into the equation: 288π = (4/3)πr3

2) Notice the π value is on either side of the equation. It cancels: 288 = (4/3)r3

3) Simplifying: r3 = 216

4) Solving for r yeilds : r = 6 cm

The radius (r) of a soccer ball with a volume of 288 cm3 is 6 cm

Answer:

its 6

Step-by-step explanation:

-11x+9 is the answer

Answer:

[tex]x - 1 + ( - 12x) + 10 \\ x - 1 - 12x + 10 \\ x - 12x - 1 + 10 \\ = - 11x + 9[/tex]