If x/5 = 4/15, what is the value of x? Please hurry and answer!!! In a test!!!!​

Answer:

For train A, the distance traveled as a function of time in hours is written as:

y = 68*x

For train B, we know that it's equation passes through the points (0, 0) and (1, 64)

Remember that:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then the slope for the equation of train B is:

a = (64 - 0)/(1 - 0) = 64

Then equation of train B is something like:

y = 64*x + b

Now, we know that it passes through the point (0, 0), this means that when x = 0, we also have y = 0, then if we replace these two values in the equation we get:

0 = 64*0 + b

0 = 0 +b

then b = 0

This means that the equation for train B is:

y = 64*x

Where again, y is the distance in miles and x is the time in hours.

If we look at both equations, we can see that train A has a larger slope, which means that for each unit of time, train A travels a larger distance, then we can conclude that train A is faster than train B.

Answer: 5 terms.

Step-by-step explanation:

We know that the n-th term of a sequence is:

Aₙ = n² + 20

Where n can be any natural number, then n ∈ {1, 2, 3, ...}

We want to find how many terms are smaller than 50.

Then we could find the first value of n such that Aₙ is equal or larger than 50.

Then we can solve:

Aₙ = n² + 20 = 50

then:

n² = 50 - 20 = 30

n = √30 = 5.48

This is not a natural number, so we need to round to the next one that is n = 6

This means that the first natural number n such that Aₙ is equal or larger than 50 is n = 6, then for the values:

n = 1, 2, 3, 4, 5

Aₙ is smaller than 50

This means that there are 5 terms of the sequence that are smaller than 50.

Answer:

b = 15.59

Step-by-step explanation:

a^2 + b^2 = c^2

9^2 + b^2 = 18^2

81 + b^2 = 324

-81             -81  

b^2 = 243

b = 15.59

Pythagorean Theorem -

[tex]a^{2} + b^{2} = c^{2} [/tex]

1 - Input the values!

[tex] 9^{2} + x^{2} = 18^{2} [/tex]

2. Find the exponents!

[tex]81 + x^{2} = 324[/tex]

3. Multi step Equations!

[tex]81 - 81 = 0 \\ 324 - 81 = 243[/tex]

4. Use square roots to find x!

[tex]x = \sqrt{243}[/tex]

Answer: X=The Square Root Of 243

Answer:

PR = 6.93 units

PQ = 13.86 units

Step-by-step explanation:

From ΔPQR,

m∠Q = 30°

QR = 12

By applying tangent rule for the given angle in the triangle,

tan(30°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

tan(30°) = [tex]\frac{PR}{QR}[/tex]

[tex]\frac{1}{\sqrt{3}}=\frac{PR}{12}[/tex]

PR = [tex]\frac{12}{\sqrt{3} }[/tex]

PR = 4√3 ≈ 6.93

Now we apply cosine rule,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{QR}{PQ}[/tex]

[tex]\frac{\sqrt{3} }{2}=\frac{12}{PQ}[/tex]

PQ = [tex]\frac{24}{\sqrt{3} }[/tex]

PQ = 8√3 ≈ 13.86

Answer:

21.875

Step-by-step explanation:

you do 175 divided by 8

The required number of tables to seat 175 people are 22.

Division is defined as the splitting of a large group into smaller groups such that every group will have an equal number of items.

it is given that,

Number of chairs for 1 table = 8

Number of people to seat =  175

Therefore chairs = 175

Since 8 chairs are required at every round table

Therefore,

Number of tables to seat 175 people = Number of people to seat/Number of chairs for 1 table

⇒ Number of tables to seat 175 people = 175/8

⇒ Number of tables to seat 175 people = 21.87 ≈ 22 tables

Thus, the required number of tables to seat 175 people are 22.

To learn more about division:

https://brainly.com/question/14905604

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The original amount of the loan of Margo is $1560.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the original amount is x

Given that,

She has already paid $315 and still owes them $1245.

So,

x - 315 = 1245

x = 1560.

Hence "The original amount of the loan of Margo is $1560".

For more about the equation,

https://brainly.com/question/10413253

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Answer:

(0, -6)

Step-by-step explanation:

At the y-intercept, the x-coordinate equals zero.

3x - 4y = 24

3(0) - 4y = 24

-4y = 24

y = -6

Answer: (0, -6)

Answer: well no I dont think so because it’s not a whole. it would be 12/12 I believe.

Step-by-step explanation:

Answer:

4  

Step-by-step explanation:

4/1=4

Answer: i think its  3 i not the best at math so im so sorry if this is wrong lol

Step-by-step explanation:

Answer:

1 1/3

Step-by-step explanation:

Randy studied for the same amount of time so it would be the same answer im not sure if I'm correct but hope this helps

Answer:

2x(x + 3)

2x^2 + 6x

Answer:  2x²+6x

Step-by-step explanation:

A = bh

A = 2x(x+3)

A = 2x²+6x

512 c2 so A sorry if im wrong

Answer:

384

Step-by-step explanation:

So there are 6 faces in a cube so first you need to know how big is one face then just multiply by 6 for all 6 faces. so 8*8 = 64. that means 64 is the area of one face.

then multiply that by 6 to get the total surface area.

there it is your answer 384 the 3rd option there

Answer:

y = -3/4x -5

Step-by-step explanation:

(4, -8) and (-8, 1)

m = (y2-y1)/(x2-x1)

m= (1+8)/(-8-4)

m = (9)/(-12)

m = -3/4

y - y1 = m(x-x1)

y + 8 = -3/4(x -4)

y + 8 = -3/4x + 3

y = -3/4x -5

Answer:

y = -3/4x - 5

Step-by-step explanation:

Hope this helps!

Answer:

N CCX  XN

Step-by-step explanation:

For the first box, you would multiply.

For the second box, you would multiply both sides by 3/2.

For the third box, the answer is 18.

[tex]\frac{2}{3}x=12[/tex]

[tex](\frac{3}{2} )*\frac{2}{3}x=12*(\frac{3}{2})[/tex]

[tex]x = 18[/tex]

If you have any further questions, please reach out to me :)

Answer:

multiply both sides by 3/2. The correct answer is 18

Step-by-step explanation:

Answer:

50.27 (to 2dp)

Step-by-step explanation:

radius = 4

area of circle = pi * r * r

16 pi is area = 50.2655 units^2 (to 4dp)

Answer:

50.24

Step-by-step explanation:

Area of the circle is [tex]\pi r^{2}[/tex]. If the diameter is 8, then we know that the radius is 4, because the radius is half of the diameter. Then solve. 4 squared is 16, then multiply by 3.14 in place of pi and you will get 50.24. So yes, you are correct, it is 50.24.

Answer:

A) it's positive

B) 37/30 or 1 7/30

Step-by-step explanation:

Answer:

-13.6

Step-by-step explanation:

Open the bracket

-9.07-(-2.8+1.3).

-25.39+11.79

-13.6

Answer:

-7.57

i found the answer by solving the equation in the parenthises, then i subtract the answer i got with -9.07, and thats how i found out the answer is -7.57 (feel free to use a calculator to make sure its correct :D)

Answer:

Hi! Your answer is down below!

Step-by-step explanation:

Hope this helps!

Have a nice day <3

Answer:

57.2243187

Step-by-step explanation:

it would be way too long to explain

here's the right answer!

A)  76 + 80 + 78 + x = 82 times 4

234 + x = 328

x = 94

B) Mei needs a score of at least 94 on the next exam.

hope you have a good day

Answer:

5/6

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

4/12 = 1/3 yepppp djdkkdkdd

Answer:

3

Step-by-step explanation:

3x+1=10 subtract 1 to both sides

3x+1-1=10-1

3x=9 divide both sides by three

3x/3=9/3

x=3

Answer:

225 [tex]units^{2}\\[/tex]

Step-by-step explanation:

Answer:

(0, -2)

Step-by-step explanation:

Since line is intersecting y axis at point (0, - 2)

Hence, y-intercept = (0, - 2)