if x=10 what is the value of y in the equation 3x+5y=60

Answers

Answer 1
The answer is 6
Explanation: because you substitute the given value of x which is 10 into x so 3(10) and multiply that which would give you 30+5x=60 after that subtract 30 from both sides to get 5x alone so 60-30=30 so now we have 5y=30 now divide5 from both sides to get y alone so 5 cancels 5 and 30 divided by 5 would give you y=6
Answer 2

Given :-

x = 103x + 5y = 60

[tex] \\ \\ [/tex]

To find :-

value of y

[tex] \\ \\ [/tex]

Solution :-

[tex] \\ [/tex]

[tex] \looparrowright \sf3x + 5y = 60[/tex]

Put value of x in the equation!

[tex] \\ [/tex]

[tex] \looparrowright \sf3(10)+ 5y = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf3 \times 10+ 5y = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf30+ 5y = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf5(6 + y) = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf(6 + y) = 60 \div 5[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf6 + y= \dfrac{60}{5} [/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf6 + y=\cancel \dfrac{60}{5} [/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf6 + y= \dfrac{12}{1} [/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf6 + y=12[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf y=12 - 6[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \bf y=6[/tex]

[tex] \\ [/tex]

Verification:-

[tex] \\ [/tex]

[tex] \looparrowright \sf3x + 5y = 60[/tex]

Put value of x and y.

[tex] \\ [/tex]

[tex] \looparrowright \sf3(10)+ 5(6) = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf3 \times 10+ 5(6) = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf30+ 5(6) = 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf30+ 5 \times 6= 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \sf30+ 30= 60[/tex]

[tex] \\ [/tex]

[tex] \looparrowright \bf60= 60[/tex]

LHS = RHS

HENCE VERIFIED!

If X=10 What Is The Value Of Y In The Equation 3x+5y=60
If X=10 What Is The Value Of Y In The Equation 3x+5y=60
If X=10 What Is The Value Of Y In The Equation 3x+5y=60
If X=10 What Is The Value Of Y In The Equation 3x+5y=60
If X=10 What Is The Value Of Y In The Equation 3x+5y=60

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Answer:

[tex]\log_{12}144=2[/tex]

Rewrite 144=[tex]12^{2}[/tex] in a different form:

[tex]\Downarrow[/tex]

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I hope this helps you

:)

A sports trainer has monthly costs of $65. 94 for phone service and $42. 23 for his website and advertising. In addition, he pays a $30 fee to the gym for each session in which he trains a client. Write a cost function to represent the C(x) for x training sessions. C(x) =

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Answer:

C(x) = 30x + 108.17

Hope this helps!

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Which of the following conditions make a pair of triangles congruent?

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Step-by-step explanation:

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Answer:

x=2

Step-by-step explanation:

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Answers

Answer:

So longest side is 6 units more then the shorter side

The third side is twice the length of the shortest side

The perimeter (all 3 sides added up) is 25.

What’s the 3 sides of the triangle.

So lets make variables.

Let’s make the shortest side of the triangle “s”.

The longest side is 6 units more then the shorter side so

S + 6 is the longest side.

The third side is twice the length of the shortest side so

2S is the third side

S of course is already the shortest side now solve.

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4s + 6 =25

4s = 19

s = 4.75

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The third side is 2 times the shortest side which is 4.75 * 2 which is 9.50

Answer:

Perimeter of a shape = sum of length of all sides

Let x = shortest side

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⇒ perimeter:   x + (x + 6) + 2x = 25

                                      4x + 6 = 25

                                             4x = 19

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Therefore,

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Step-by-step explanation:

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Step-by-step explanation:

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The 2 above regular hexagons are similar. (see figures) The smaller hexagon was
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Answers

The smaller and the larger hexagons both have 6 sides

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How to determine the length of each side of the larger hexagon

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Answer:
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Step-by-step explanation:

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Step-by-step explanation

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Answers

Answer:

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Step-by-step explanation:

To find the percentage spent on English, divide the amount of time spent on English by the total time, and express the fraction as a percent.

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Answer:

1)  (3 - 6x)(-8) = (-8)(3) - (-8)(6x) = -24 - (-48x) = -24 + 48x = 48x - 24

2) (-12)(2x - 3) = (-12)(2x) - (-12)(3) = -24x - (-36) = -24x + 36 = 36 -  24x

3) (10 - 2x)9 = (9)(10) - (9)(2x) = 90 - 18x

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HELP ME!! The population of a city is modeled with the function P=250,000e^0.013t​, where t is the number of years since 2000. In what year will the population reach ​450,000?

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Answer:

250,000e^0.013t, where t is the number of years since 2000. In what year will the population reach 450,000?

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Answer:

c. 73°

Step-by-step explanation:

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The diameter of a cylinder is 5 yd. The height is 4 yd. volume of the​ cylinder? Find the volume of the cylinder.

Answers

Answer:

Using volume formula in terms of cylinder and use units such as yd carefully for conversions

Step-by-step explanation:

Diameter = 3 yd

Radius (r) = 3/2 = 1.5 yd

height (h) = 4 yd

Volume (V) = πr²h

                 =π * (1.5)² * 4 =π *2.25 *4

                 = 9π cubic yd

Volume of cylinder is 78.5 cubic yd.Explanation :

Given :-

Diameter of cylinder = 5 ydHeight of cylinder = 4 yd

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Volume of cylinder?

Solution :-

Firstly lets calculate radius of cylinder, as we know that;

Radius = Diameter/2

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Radius = 2.5 yd

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Putting all values we get;

➸ Volume(cylinder) = 3.14 × (2.5)² × 4

We can write it as;

➸ Volume(cylinder) = 3.14 × 4 × 2.5 × 2.5

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➸ Volume(cylinder) = 78.5 cubic yd

Hence, volume of cylinder is 78.5 cubic yd.

A pair of shoes cost $95. If the shoes are at a 30% discount and the sales tax is 7%, how much would you end up paying for the shoes? Explain how to get your answer. You can do this by showing all of your work in an organized way or by writing out what you did in complete sentences.​

Answers

If the shoes cost 95 dollars and are at a 30% discount then we know that the shoes cost 70% of its original price. we would write this as 95 x .7 which is 66.50 dollars. The tax would up the price. To do this we need to add a 1 to whatever the tax percentage is. this would then be written as 1.07 x 66.50 and the answer is 71.155. since you can’t pay that amount you have to round up to the near test hundredth. Since the number in the thousandth spot is 5, we round up making your final price 71.16 dollars.

A printer wants to put 54 square inches of text into a rectangle on an 8 by 11 sheet of paper. She wants the text to be surrounded by a border of constant width. Which equation could be used to find the width of the border, x?

Please help I will give a lot of points.

Answers

By solving a quadratic equation, we will see that the border must measure 1 inch.

How to find the value of x?

The dimensions of the paper are 8 inches by 11 inches. If we have a border of width X all around the text, the dimensions of the text will be:

8 in - 2x by 11in - 2x.

The area of this rectangle will be:

A = (8 in - 2x)*(11in - 2x)

And we know that the area must be 54 square inches, then we need to solve:

54 in^2 =  (8 in - 2x)*(11in - 2x)

54 in^2 = 88 in^2 - (2x)*8in - (2x)*11in + 4x^2

54 in^2 = 88 in^2 - (38 in)*x + 4x^2

This is a quadratic equation, we can rewrite this as:

0 = 4x^2 - (38 in)*x + 88 in^2 - 54 in^2

0 = 4x^2 - (38 in)*x + 34 in^2

The solutions are given by Bhaskara's formula, these are:

[tex]x = \frac{-(-38 in) \pm \sqrt{(-38 in)^2 - 4*4*(34 in)^2} }{2*4} \\\\x = \frac{-(-38 in) \pm 30 in }{8} \\[/tex]

We only care for the solution that is on the wanted range, so we use the negative sign of the plus-minus sign.

x = (38 in - 30 in)/ = 1 in

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