Solve the equation.

−3(y+5)=15

Answers

Answer 1
Answer:

Answer:

y = -10

Step-by-step explanation:

−3(y+5)=15

Divide each side by -3

−3/-3(y+5)=15/-3

y+5 = -5

Subtract 5 from each side

y+5-5 = -5-5

y = -10


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What is 3 - 1.5? Please also explain!
Karleigh walks 5/8 mile to school every day. How far does she walk to school in 5 days?

(square root of 6+the square root of 11)/(square root of 5+square root of 3) =

Answers

ANSWER

(√(30)  + √(55)-   √(33)  -3√(2) )/( 2 )

EXPLANATION

The given radical expression is

( √(6)  +  √(11) )/( √(5) +  √(3)  )

We rationalize the denominator to get:

( √(6)  +  √(11) )/( √(5) +  √(3)  )  *  (√(5)  -  √(3))/(√(5)  - √(3))

This implies that:

(( √(6)  +  √(11) )(√(5)  -   √(3)))/( (√(5) +  √(3))(√(5)  -  √(3)) )

We expand using the distributive property and also applying difference of two squares on the denominator.

\frac{( √(6)  *  √(5)   -   √(6)  *  √(3)  + √(5) *  √(11)   -   √(3) *  √(11) )}{  {( √(5) )}^(2)  -  {( √(3) )}^(2)  }

This will give us,

(√(30)   -   3√(2)  + √(55)-√(33) )/( 5 - 3 )

(√(30)  + √(55)-   √(33)  -3√(2) )/( 2 )

It should be 22.880627.

Product of a whole number and unit fraction for 3x3/4

Answers

Because all real numbers can be expressed as fractions, whole numbers can be too, with the denominator as 1.

e.g. 3 = 3/1

And then it works like normal multiplication

3/1 x 3/4 = (3 x 3) / (1 x 4)
               = 9/4
               = 2 and 1/4

Also for future reference, normally * (the asterix, shift + 8) is used to show multiplication on a computer, because "x" is normally used in algebra to mean something else.
I believe its 2 and 1/4

What is 1.16 rounded to the nearest tenths?

Answers

1.16 rounded to its nearest tenths is 1.2.

What is place value?

The placevalue of a number is given as:

Example:

1234.567

1 = thousand place value

2 = hundred place value

3 = tens place value

4 = ones place value

5 = tenths place value

6 = hundredths place value

7 thousandths place value

We have,

1.16

The number 1 after the decimal point is in the tenthplacevalue.

Now,

Since 6 is greaterthan 5 tenth place value will be rounded to the next number.

So,

1.16 rounded to the nearest tenths.

= 1.2

Thus,

1.16 rounded to its nearest tenths is 1.2.

Learn more about placevalue here:

brainly.com/question/27734142

#SPJ2

The answer is 1.2

You want to round to the tenths, and the tenths spot is taken by a 1.
So, you use the 6 (in the hundredths spot) and since it is over 5, you boost it up.
The 1 will now become a 2, so the answer is 1.2.
A helpful phrase I use is “five or above, give it a shove. Four or below, keep it low.”
:) hope i helped :)

The top letter is “L”
Please help!! Answer correctly and no guessing, please!

Answers

The first thing you must do is find KL. You use a^2 + b^2 = c^2 to do that.

Then you find the various sines and cosines and Tangents of the angles involved.

Step One

Find KL

a^2 + b^2 = c^2

c = 219

b = 178

a = ??

219^2 = 178^2 + a^2

47061 = 31684 + a^2

a^2 = 48061 - 31684

a^2 = 127.97

Step Two.

Find the sines and cosines of J and L

Choice A

Sin(J) =opposite/hypotenuse =   127/219 = 0.5799

Cos(L) = adjacent/hypotenuse = 127/219 = 0.5799

Conclusion Sin(J) = Cos(L) A is not true. Neither is bigger than the other.

Choice B

Choice B does exactly what Choice A did. The Sin of L is the same thing as the cos(J).

Choice C

C can't be true.

Tan(J) = opposite / Adjacent. = 127/178

Tan(L) = opposite / Adjacent = 178/127

One is larger than 1 and the other one is less than 1. They use the same values but in a different order.

D

We discussed this for choice A. So D is the correct answer

First you need to find out what K and L's angle is

Step #1: Finding L's angle number

to do this you are going to subtract  219-178=?

answer should be 41.

Step #2: Desiding if J is Larger than L

Is 219 Larger than 41? or is 41 larger than 219?

Help!! A cylindrical water tank is being filled with a hose. The depth of the water increases by 1 1/4 ft per hour. How many hours will it take for the water level in the tank to be 3 1/2 ft deep? Enter your answer as a mixed number

Answers

Depth: 7/2 feet
Rate: 5/4 feet per hour

Time = depth / rate of filling
Time = 7/2  /  5/4
Time = 14/5
Time = 2 4/5 hours
Rate :  1 1/4 ft per hour = 5/4 ft per hour
Depth :  3 1/2 = 7/2 ft
7/2 : 5/4 = 7/2 * 4/5 = 28/10 = 14/5 = 2  4/5
Answer:
2  4/5  hours. 

A room is 5m by 3m and has a height of 3.5m. Find the distance from a comer point on the floor to the opposite comer of the ceiling.

Answers

Answer:

Approximately 6.8m

Step-by-step explanation:

We can picture this problem by drawing a rectangular prism with a width of 5m, a depth of 3m, and a height of 3.5m. To find the length from one corner of the floor to the opposite corner of the floor, we can use the pythagorean theorem and plug in the width and depth of the room for a and b:

5^(2)+3^(2)=c^(2)

And now we can solve for c...

34 = c^(2)

√(34)=\sqrt{c^(2)}

c = 5.831m

Now that we have the length from corner to corner across the floor, we can use the pythagorean theorem again, this time using the length from corner to corner across the floor we just derived and the height of the room:

5.831^(2) + 3.5^(2)=c^(2)

And now we can solve for c again...

46.25=c^(2)\n√(46.25)=√(c^2)

c = 6.8m