consider the function t(x)=x/8+2x find t(16)

Answers

Answer 1
t(x) = x/8 + 2x
t(16) = 16/8 + 2(16)
t(16) = 2 + 32
t(16) = 34

Hope this helps!

Related Questions

Can you please help me!!

Answers

A is more because 1/4 is equal to 2/8 and 2/8 is less than 7/8 so you would have more than a minute
B is three minutes 2/8 goes into 7/8 three times

Write -7 - (-4) as an addition problem. Then simplify the expression.

Answers

-7 + 4

if you subtract a negative it turns it into a positive, so just take away the negative and turn the sub into an addition sign

find the range of f(x)=-3x+1 if the domain is (x=-2,7(

Answers

To find the range of this function, simply plug each of the end values into the original equation. In this case, with x of -2, the function becomes f(x) = 6+1 or 7, and with x of 7, the function becomes f(x) = -21+1 or -20. As such, the range of the function is -21 <= f(x) <= 7.

Find the number if 5/3% of it is 4.75

Answers

Final answer:

To find the number when 5/3% of it is 4.75, you can set up the equation (5/3%) x N = 4.75 and solve for N.

Explanation:

To find the number when 5/3% of it is 4.75, we can set up the equation:

(5/3%) x N = 4.75

To solve for N, we need to convert the percentage to a decimal:

5/3% = 5/3 x 1/100 = 5/300 = 1/60

Now we can rewrite the equation:

(1/60) x N = 4.75

To isolate N, we can multiply both sides of the equation by 60:

N = 4.75 x 60 = 285

Therefore, the number is 285.

during the summer you work 30 hours per week at a gas station and earned $8.75 per hour. You also work as a landscaper for $11 per hour and your work as many hours as you want. You want to earn a total of $400 per week. How many hours mostly work as a landscaper?

Answers

a very minimum of 12.5 because 30x8.75= 262.5 and when you subtract that from 400 you get 137.5 and that divided by 11 equals 12.5 
Final answer:

To earn a total of $400 per week, considering you already earn $262.50 working 30 hours a week at a gas station, you need to make up the rest ($137.50) working as a landscaper. This equates to approximately 12.5 hours of work a week at an hourly rate of $11.

Explanation:

The nature of the question is mathematical, specifically relating to linear equations. Initially, we know you're earning $8.75 per hour from your job at the gas station, working 30 hours a week, which gives you a total of $8.75 * 30 = $262.50 per week. Your goal is to earn $400 in total per week. Therefore, your earnings from the landscaping job need to make up the difference, which is $400 - $262.50 = $137.50.

Next, to find out how many hours you need to work as a landscaper, we divide that by the landscaper's hourly wage of $11, so $137.50 / $11 = 12.5 hours approximately. Hence to meet your target of $400 per week, you need to work about 12.5 hours as a landscaper, in addition to your 30 hours at the gas station each week.

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A recipe asks for 2 2/3 cups of raisins.

How many cups of raisins are needed to make 1/2 of a recipe?

Express the answer in simplest form.

Answers

you would have  1 1/3 cups

The number of cups of raisins needed to make 1/2 of the recipe is equal to [tex]1\frac{1}{3}[/tex] cups of raisins.

What is the unitary method ?

The unitary method is a method in which you find the value of one unit and then the value of required no. of units.

It is given that a full recipe asks for [tex]2\frac{2}{3}[/tex] cups of raisins.

We have to find the number of cups of raisins needed to make 1/2 of the recipe.

1 full recipe needs =  [tex]2\frac{2}{3}[/tex] cups of raisins.

So , the number of cups of raisins needed to make 1/2 of the recipe can be calculated by :

1/2 of recipe needs =  [tex]2\frac{2}{3}[/tex]  × [tex]\frac{1}{2}[/tex] cups of raisins

or

1/2 of the recipe needs :

= [tex]\frac{8}{3}[/tex]  × [tex]\frac{1}{2}[/tex] cups of raisins

= [tex]\frac{4}{3}[/tex]

or [tex]1\frac{1}{3}[/tex] cups of raisins

Therefore , the number of cups of raisins needed to make 1/2 of the recipe is equal to [tex]1\frac{1}{3}[/tex] cups of raisins.

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The length of a rectangle is 4 inches more than its width the perimeter is 96 inches what is the length and width of the rectangle

Answers

The length is 20 and the width is 16. You have to do 96/4 (for four sides) you get 24 then you have to do 24-8 (for 4 inches more than the width for two sides)

Give an example of the associative property of multiplication

Answers

(6x7)x5 = 6x(7x5), hope this helps

2+7+5=2+7+5
(2+7)+5=2+(7+5)
(9)+5=2+(12)
14=14

Jim spends 3 1/2 days a month away from home if he does this for 6 1/2 months how many days would Jim be away from home

Answers

Final answer:

Jim would be away from home for approximately 23 days.

Explanation:

To find out how many days Jim would be away from home, we need to multiply the number of days he spends away from home in a month by the number of months he does this for:

3 1/2 days x 6 1/2 months = (7/2) x (13/2) = 91/4 = 22.75 days

Since we can't have a fraction of a day, we round up the decimal to the nearest whole number. So, Jim would be away from home for approximately 23 days.

What is the answer of 3·(2x+5)−23=10?

Answers

6x - 8 = 10
+ 8 +8
6x = 18
x = 3
It becomes: 6x+15-23=10

We send 23 to the other side: 6x+15=10+23

Then it becomes: 6x+15=33

Then we send 15 to the other side: 6x=33-15 》6x=18

Divide the each side to 6: x=3

The answer is 3.

multiply (2.75×10−8)⋅(4.6×10−3)

Answers

2.75 times 10 is 27.5 minus 8 is 19.3.
4.6 times 10 is 46 minus 3 is 43

Then 19.3 times 43 equals 829.9.
so your answer is 829.9.
2.75 * 10 - 8=19.5 
4.6 *10 - 3= 43
19.5 * 43=838.5 
Good Luck, hope this helps 

Above 1700 feet to 2500 feet write compound inequality

Answers

1700>X<2500

Hope this helps! :)
1700 < x ≥ 2500

above 1700 means it cant be 1700, but as long as it's greater than 1700, the inequality works. to 2500 feet means it can be 2500, but it can't be greater than 2500. 

20 Points!!!

When you add a negative and a positive the answer is: Neg/Pos

When you add numbers with with the same sign the answer is: Neg/Pos

When you subtract a negative and a positive the answer is: Neg/Pos

When you subtract numbers with the same sign, the answer is: Neg/Pos

Answers

All right,  All you have to remember is a triangle.  In 2 angles of the triangle, add a negative sign.  In the last side, add a positive.  All you have to do now is cover up the 2 sides in your equation, and the uncovered one is your answer.  For example, -1 times -1=???  So you cover up the 2 negative sides, and you are left with a positive.  However, this only works with multiplication and division.  When it comes to subtraction and addition, the answer varies with the number.  Hope this helps.
When you add a negative and positive the answer is positive.
When you add numbers with the same sign it is positive
When you subtract numbers with the same sign it is negative

Explain how to simplify the fraction 12 over 36

Answers

The fraction 12/36
Is quite simple first find out what can go into 12 and 36
The factors that can go into 12 and 36 is 12.
12÷12=1
36÷12=3
So the final answer will be 1/3

The fraction is, 12/36 is the fraction 12 over 36.

What is fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts. When spoken in everyday English, a fraction describes how many parts of a certain size there are, for example, one-half, eight-fifths, three-quarters.

here, we have,

the fraction 12 over 36

Is quite simple first find out what can go into 12 and 36

The factors that can go into 12 and 36 is 12.

12÷12=1

36÷12=3

So the final answer will be 1/3.

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What is :
1)9.4 divided by 47
2)2.583 divided by 9
3)33.8 divided by 26
4) 37.8 divided by 18
Brain teasers answer in the comments ( I'm bored just do it )

Answers

1) 9.4 divided by 47 = 0.2

2) 2.583 divided by 9 = 0.827

3) 33.8 divided by 26 = 1.3

4) 37.8 divided by 18 = 2.1

Answer:

since u don't need the answers imma just leave this here, thnx for the points :)

Step-by-step explanation:


Which statement is true about the graphed function?

F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) > 0 over the intervals (-∞, -0.7) and (0.76, 2.5).
F(x) < 0 over the intervals (-0.7, 0.76) and (2.5, ∞).
F(x) > 0 over the intervals (-0.7, 0.76) and (0.76, ∞).

Answers

Choice A) True. The f(x) portion is below the x axis on the interval (-infinity, -0.7) and on the interval (0.76, 2.5)

Choice B) False. This is a complete contradiction of choice A. 

Choice C) False. The portion of f(x) on the interval (-0.7, 0.76) is above the x axis.

Choice D) False. The portion of f(x) is above the x axis on the interval (-0.7,0.76); however, f(x) is below the x axis on the interval (0.76, 2.5). See choice A.

---------------------------------------

In summary, the final answer is choice A

Answer: A. F(x) < 0 over the intervals (-∞, -0.7) and (0.76, 2.5).

twenty less than 8 times a number is the same as 15 more than the number in equation form

Answers

8x-20=15+x

7x=35 subtract x from left side and add 20 to right side
x=5 divide

PLZ HELP ME 50 POINTS
indicate whether the lines are parallel, perpendicular, or neither (for all of them this is NOT multiple choice

1)y=3/2x - 3 and -2x = 3y - 4

2)x+4y = -12 and 24y= -6x - 72

3)4x - 14y = -112 and 14x + 4y =16

Answers

1) perpendicular
2) parallel
3)perpendicular
1) Because they have opposite reciprocal slopes it is perpendicular
2) They have the same slope so they are parallel
3) They have opposite reciprocal slopes so they are perpendicular

Hope this helps!

A brick has a mass of 100g and a volume of 25cm3. what is the density of the brick

Answers

Final answer:

The density of the brick, calculated by dividing its mass of 100g by its volume of 25cm3, is 4 g/cm³.

Explanation:

The density of a substance can be calculated using the formula density = mass/volume. In this case, the brick has a mass of 100g and a volume of 25cm3. Therefore, its density would be 100g / 25cm3 = 4 g/cm³. This means that the density of the brick is 4 grams per cubic centimeter.

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Number 46 please help

Answers

2/3 = 8/12

5 1/4 = 21/4 = 63/12

63 divide by 8 is 7.875

7 batches should be your answer

hope this helps

what is the remainder when 864 is devided by 31? 6 27 4 ther is no remainder

Answers

Okay. So when you solve 864/31 on a sheet of paper and you divide it properly, the remainder you get should be 27. The answer is B: 27.

r 27 is the answer....

A falling stone is at a certain instant 250 feet above the ground and 3 seconds later it is only 10 feet above the ground. From what height was it dropped?

Answers

Let h =  the height (ft) from which the stone was dropped.

Assume that g = 32 ft/s² and ignore air resistance.

At time t seconds, the stone is 250 ft above ground. Therefore
(1/2)gt² = h - 250                 (1)

After another 3 seconds, the stone is 10 ft above ground. Therefore
(1/2)g(t+3)² = h - 10              (2)

Subtract (1) from (2).
(1/2)g[(t+3)² - t²] = 240
32(t+3)² = 480
(t+3)² = 15
t = 0.873 s

From (1), obtain
16*(0.873)² = h - 250
12.194 = h - 250
h = 262.194 ft

Answer: 262.2 ft (nearest tenth)

Final answer:

By applying the equations of motion for an object in free fall, it's determined that the stone was dropped from 404 feet above the ground, considering its positions at two separate times and using the acceleration due to gravity.

Explanation:

To find the original height from which the stone was dropped, we can use the equations of motion under constant acceleration due to gravity. Since we are dealing with a vertical motion and we are given the stone's positions at two different times, the most appropriate equation to use is:

h = h0 + v0t - ½gt²

Where:

h is the final height of the object above the ground,h0 is the initial height of the object above the ground,v0 is the initial velocity (which is 0 for a dropped object),g is the acceleration due to gravity (approximately 9.8 m/s², but since we are using feet, we use 32 ft/s²), andt is the time in seconds.

We know that the stone is 250 feet above the ground at a certain instant and 10 feet above the ground 3 seconds later. Thus, we can use these values to solve for h0 in two steps. Firstly, convert the given heights to the same unit of measurement if necessary (in this case, they are already in feet). Then, substitute the given values into the equation:

At t = 3 seconds, h = 10 feet:

10 = h0 - ½(32)(3)²

Solving this equation gives us:

h0 = 10 + ½(32)(3)² = 10 + 144 = 154 feet

However, this calculation only accounts for the latter part of the fall. To find the total height from which it was dropped, we need to consider the height above the 250 feet mark.

Since we initially observed the stone at 250 feet and then at 10 feet above the ground, it implies the stone was dropped from 250 feet + 154 feet = 404 feet above the ground.

how many 5 3/4 inch pieces of yarn can be cut from a roll that has 60 inches of yarn?

Answers

10.43 pieces of yarn could be cut from the roll 

find the perimeter of the polygon with the given vertices

G(2,4), H(2,-3), J(-2,-3), K(-2,4)

Answers

I graphed these vertices myself in the attached photo, and it turned out to be a rectangle;  With the thought that you perhaps made a typo and meant rectangle instead of polygon I continued on and found the perimeter of the rectangle.  

The formula for finding the perimeter of a rectangle is P = 2(l+w).  

I counted the units of the long side (K & J) to get the length, which is 7.

Next, I counted the units between J & H to find the width which is 4.  Now we're ready to use the formula.  

First I will add the length plus the width, 7 + 4 = 11.  

Then I will multiply 2 x 11 to get a product of 22.  

P = 22.  :D 

Can anyone help me with this question?

Answers

Since a cube is essentially 6 squares, and the base, length, and height is ∛(volume)=∛(27)=3 due to that a cube is base*width*height, with each being the same. Each square is 3*3=9 square centimeters. 6 equal squares are 9*6=54 square centimeters. which is 1 cube. 54*2=108, 54*3=162, and we have 6*27=162 square inches, meaning that we have 3 cubes!

how can you show that the ratios 10:4 abd 15:6 are equivalent

Answers

Answer:

10:4 On dividing both the number by 2 and 15 : 6

On dividing both the number by 3

Step-by-step explanation:

Given  : ratios 10:4 and 15:6 .

To find : you show that the ratios 10:4 abd 15:6 are equivalent.

Solution : We have given 10:4 and 15:6 .

For 10 : 4

On dividing both the number by 2

5 : 2

For 15 : 6

On dividing both the number by 3

5 : 2.

So, we can  see both are equal in ratio 5 : 2 .

Therefore, 10:4 On dividing both the number by 2 and 15 : 6

On dividing both the number by 3

turn 129/3930 into decimal

Answers

To find the decimal, all you need to do is take the number on top and divide it by the one in the bottom. 129/3930=0.03
Divide 129 by 3930 
Which is 0.03282442748
Then round it to .033

Hope I helped :)

The grass in the outfield of a professional baseball stadium is trimmed to a height of 5.08 * 10^-5 miles. Which unit of measurement is most appropriate to measure in height?

Answers


The height is given as 5.05 x 10⁻⁵ miles.

Because this is in English units, we should reduce the height to inches.

Note that
1 mile = 5280 ft
           = 5280*12 = 63360 in

Therefore the height is
(5.08 x 10⁻⁵ miles)*(63360 in/mile) = 3.219 in

Answer:
3.2 in (nearest tenth)
The given measurement is in English units, so the conversion stays in English units.

4 7\12 + 2 3\4 +7 5\12

Answers

4 + 2 + 7 = 13

7/12 + 3/4 + 5/12 = 7/12 + 9/12 + 5/12 = 21/12 = 1 9/12 = 1 3/4

13 + 1 3/4 = 

14 3/4 <===

Answer: 6/12 in other words 1/2

hope thats correct

Divide. Round to the nearest tenth if necessary:
39.39 divided by 3

Answers

39.39/3 = 13.13

rounded to the nearest tenth is: 13.1

hope this helps
Or... you can use a calculator. But, I can understand if you are not allowed to use a calculator.

39.39 / 3 = 13.13

You can round that down to: 13.1
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