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shusha [124]
3 years ago
14

1/2y=13 Solve for y.

Mathematics
2 answers:
8090 [49]3 years ago
7 0

Answer:

The correct answer is Y = 26

natali 33 [55]3 years ago
7 0

\huge\text{Hey there!}

\mathsf{\dfrac{1}{2}y = 13}

\large\textsf{MULTIPLY 2 to BOTH SIDES}

\mathsf{2\times\dfrac{1}{2}y=2\times13}

\large\textsf{Cancel out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because that gives you 1}

\large\textsf{Keep: }\mathsf{2\times13}\large\textsf{ because it gives you the value of \bf y}

\mathsf{2\times13=\bf y}

\mathsf{2\times13 = \bf 26}

\boxed{\boxed{\large\text{Answer: \huge \bf y = 26}}}\huge\checkmark

\text{Good luck on your assignment and enjoy your day!}

~\frak{Amphitrite1040:)}

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What is the length of the shadow cast by a 12-foot lamp post when the angle of elevation of the sun is 60º? (to the nearest tent
elena-s [515]

Answer:

6.9 foot.

Step-by-step explanation:

Given: Length of lamp post= 12-foot.

           The angle of elevation of the sun is 60°.

∴ The length of Lamp post, which is opposite is 12-foot.

  Now, finding the length of shadow cast by foot lamp.

Length of shadow is adjacent.

∴ We know the formula for Tan\theta= \frac{Opposite}{adjacent}

Next, putting the value in the formula.

⇒ Tan 60° = \frac{12}{adjacent}

Cross multiplying both side and using the value of Tan 60°

∴ Adjacent= \frac{12}{\sqrt{3} } = 6.92 ≅ 6.9 (nearest tenth value)

6.9 is the length of shadow cast by a 12-foot lamp post.

3 0
3 years ago
A collection of 20 coins made up of only nickels, dimes, and quarters has a total value of $3.35. If the dimes were nickels, the
Kay [80]

Answer:  The required number of quarters in the collection is 11.

Step-by-step explanation:  Given that a collection of 20 coins made up of only nickels, dimes and quarters has a total value of $3.35.

If the dimes were nickels, the nickels were quarters and the quarters were dimes, the collection of coins would have a total value of $2.75.

We are to find the number of quarters in the collection.

Let x, y and z represents the number of nickels, dimes and quarters respectively in the collection.

We will be using the following values of nickels, dimes and quarters in form of dollar :

1 nickel = $ 0.05,   1 dime = $ 0.10   and    1 quarter = $0.25.

Then, according to the given information, we have

x+y+z=20\\\\\Rightarrow x=20-y-z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\0.05x+0.10y+0.25z=3.35\\\\\Rightarrow 5x+10y+25z=335\\\\\Rightarrow x+2y+5z=67~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(ii)\\\\0.05y+0.25x+0.10z=2.75\\\\\Rightarrow 5y+25x+10z=275\\\\\Rightarrow y+2z+5x=55~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iii)

Substituting the value of x from equation (i) in equations (ii) and (iii), we have

(20-y-z)+2y+5z=67\\\\\Rightarrow y+4z=47\\\\\Rightarrow y=47-4z~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(iv)

and

y+2z+5(20-y-z)=55\\\\\Rightarrow -4y-3z=-45\\\\\Rightarrow y=\dfrac{45-3z}{4}~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(v)

Comparing the values of y from equations (iv) and (v), we get

47-4z=\dfrac{45-3z}{4}\\\\\Rightarrow 188-16z=45-3z\\\\\Rightarrow 16z-3z=188-45\\\\\Rightarrow 13z=143\\\\\Rightarrow z=\dfrac{143}{13}\\\\\Rightarrow z=11.

Thus, the required number of quarters in the collection is 11.

7 0
2 years ago
F = {(x, y): y = 2x + 3} and D= {2, 4, 6} then, find Range of f​
Aliun [14]

Answer:

R= {7, 11, 15}

Step-by-step explanation:

Since we already know what the Domain is for f (2, 4, 6) we can use that to get the range

Since the domain is also x let's replace x for 2

y=2(2)+3= 4+3=7

One of the range is 7

Replace x for 4

y=2(4)+3= 8+3= 11

One of the other range is 11

Replace x for 6

y= 2(6)+3= 12+3= 15

The last range is 15

So the range is R= {7, 11, 15}

8 0
2 years ago
Read 2 more answers
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blsea [12.9K]
675 = 225 + 11.25h <== ur equation
5 0
3 years ago
Find an equation for the line that passes throughthe points (1,-1) and (-3,5)
Tju [1.3M]
U can pick either point to finish

y - 1 = 2(x-1)
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or

y-5 = 2(x-3)
y = 2x-6+5
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4 0
2 years ago
Read 2 more answers
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