Suppose that d varies jointly with r and t, and d = 110 when r = 55 and t = 2. Find r when d = 40 and t = 3.

Answers

Answer 1

Answer:

r = 13.33

Step-by-step explanation:

d = k*r*t

Where,

k = constant of proportionality

d = 110 when r = 55 and t = 2

d = k*r*t

110 = k * 55 * 2

110 = 110k

k = 110/110

k = 1

Find r when d = 40 and t = 3

d = k*r*t

40 = 1 * r * 3

40 = 3r

r = 40/3

= 13.333333333333

Approximately,

r = 13.33


Related Questions

Which of the following functions is graphed below?
(picture included)

Answers

Answer:

B

Step-by-step explanation:

the graph has been shifted 4 units to left, and 2 units down.

Answer:

Graph shifted down by 2 ... -2

graph slid  4 to the left ... + 4

B is the answer y = |x+4| -2

Step-by-step explanation:

Simplify 8(x + 1) - 12x (PLS HELP)

Answers

[tex]\sf\huge\underline\color{pink}{༄Answer:}[/tex]

[tex]\tt8(x + 1) - 12x \\ = \tt8x + 8 \times 1 - 12x \\ = \tt8x + 8 - 12x \\ = \large\boxed{\tt{\color{pink}{ - 4x + 8}}}[/tex]

[tex]\color{pink}{==========================}[/tex]

#CarryOnLearning

[tex] \sf \: 8(x + 1) - 12x \\ = \sf8x + 8 - 12x \\ \sf = 8x - 12x + 8 \\ = \underline{\bf - 4x + 8}[/tex]

what is the volume of a cylinder, in cubic feet, with a height of 5 feet and a base diameter of 10 feet? Round to the nearest tenths place

Answers

Answer:

Volume of cylinder

= π r² h

3.14 × 5×5×5392.5= 392.9 ft³

OAmalOHopeO

Answer:

The volume of the cylinder would be approximately 392.5 ft^3

Step-by-step explanation:

Just like the volume formulas for a cuboid, the formula for a cylinder is: Vol = (Circle Area)(Height). Since we already have the height value, let's move onto the circle area.

The formula for the area of a circle is: πr^2. The problem only gave us the value for the diameter (10), so to get the radius value, we just need to divide the diameter by 2, and we get a value of 5 ft as our radius. Next, we just need to square root it. So 5 x 5 = 25. Then, we multiply it by π. Because the problem is asking for an approximate answer, we can just assume that π is 3.14. And that gets us a value of 78.5 ft^2 for the area of the circle.

Finally, we just need to multiply the area and the height of the cylinder. So 78.5 x 5 is approx. 392.5 ft^3. Since we don't need to round to the nearest tenths place, we can just leave it alone.

Since I didn't use the exact value of π, the real answer may be a little off of what we got, but if you want to extra precise, you can go ahead and use the actual value of π.

Help me ASAP with this problem

Answers

Answer:

114cm

Step-by-step explanation:

3×8×4=96

3×3×2=18

96+18=114

What is the missing angles?

Answers

In a triangle the sum of all angles is 180 degrees. So add 72 and 40 to get 112 degrees. Once you get that, subtract 112 from 180, which is 68 degrees.

Step-by-step explanation:

x = ??

y = 72 + 40 = 112

x =112 - 180

x = 180-112

x = 68

or = 180 - 72 = 108

180 - 40 = 140

140 - 108 = 32

how u do the sum pls

Answers

Answer:

[tex]{ \tt{x + 36 \degree + 48 \degree = 360 \degree}} \\ { \tt{x = (360 - 48 - 36) \degree}} \\ { \tt{x = 276 \degree}}[/tex]

at the school festival , raffle tickets were sold at $1 each, or 3 for $2. At the end of the day, 15 books of tickets, each containing 20 tickets, were sold. the money collected from the sale was $236. How many tickets were sold at 3 for $2?​

Answers

Answer:

you have to take away you word they said how many

Solve the systent of equations algebraically . 5x - 3y = 6; 6x - 5y = 10

Answers

Step-by-step explanation:

x will be 0

y will be -2

thats the answer babe

2x^3x8x^8= ?
Help plzz

Answers

Answer:

16x^11

Step-by-step explanation:

2x^3 x 8x^8

= 2 x 8 ( x^8 x x^3 )

= 16 ( x ^8 + 3 )

= 16x^11

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{2x^3\times8x^8}\\\textsf{There arent any like terms so we \underline{do not} have to compare them together}\\\mathsf{= \mathsf{2\times8 \rightarrow \bf 16}}\\\mathsf{= 3+8\rightarrow\bf 11}\\\mathsf{= 16\times x^{11}}\\\mathsf{= \bf 16x^{11}}\\\\\\\\\boxed{\boxed{\large\textsf{Answer: \bf 16x}\mathsf{\bf ^{11}}}}\huge\checkmark\\\\\\\large\textsf{Good luck on your assignment and your day!}\\\\\\\\\frak{Amphitrite1040:)}[/tex]

is this righ or not please say me​

Answers

Answer:

Step-by-step explanation:

It's right

ITS RIGHT



someone please help me with mineee!!!!

28a-4a^2
Helpp it’s simplifying

Answers

Answer:

[tex]{ \tt{ = 28a - {4a}^{2} }} \\ = 4a(7 - a)[/tex]

The house Trevor's family lives in has 666 people (including Trevor) and 333 bathrooms. In the past month, each person showered for an average of 480480480 minutes and used an average 727272 liters of shower water (over the entire month). Water costs 0.200.200, point, 20 dollars per liter.
How much money did Trevor's family spend, in total, on shower water in the past month?

Answers

Answer:

$86.40

Step-by-step explanation:

The house Trevor's family lives in has 6 people (including Trevor) and 3 bathrooms. In the past month, each person showered for an average of 480 minutes and used an average 72 liters of shower water (over the entire month). Water costs 0.20 dollars per liter.

How much money did Trevor's family spend, in total, on shower water in the past month?

Total people in Trevor's family = 6

Number of bathrooms = 3

Time each person spent to shower = 480 minutes

Quantity of water each person use per month = 72 liters

Cost of water per liter = $0.20

Total amount spent on shower water = Total people in Trevor's family × Quantity of water each person use per month × Cost of water per liter

= 6 × 72 × 0.20

= $86.40

Total amount spent on shower water = $86.40

The length of a string in yards is a function f(n) of the length n in inches. Write a function rule for this situation. f(n) = 12n f(n) = 36n

Answers

Given:

The length of a string in yards is a function f(n) of the length n in inches

To find:

The function rule for the given situation.

Solution:

We know that,

12 inches = 1 yard

1 inch = [tex]\dfrac{1}{12}[/tex] yard

n inches = [tex]\dfrac{n}{12}[/tex] yards

It is given that the length of a string in yards is a function f(n) of the length n in inches. So,

[tex]f(n)=\dfrac{n}{12}[/tex]

Therefore, the required function for the given situation is [tex]f(n)=\dfrac{n}{12}[/tex].

Solve :2x/5 - 3x/4 = 3/10​

Answers

Answer: -6/7

Step-by-step explanation:

[tex]2x/5-3x/4=3/10\\(8x-15x)/20=3/10\\-7x/20=3/10\\-7x=(3/10)*20\\-7x=6\\x=-6/7[/tex]

We have to find,

The required value of x.

Given that,

→ 2x/5 - 3x/4 = 3/10

Then let's solve for the value of x,

→ 2x/5 - 3x/4 = 3/10

→ (8x - 15x)/20 = 3/10

→ -7x/20 = 3/10

→ -7x = (3/10) × 20

→ -7x = 3 × 2

→ -7x = 6

→ [x = -6/7]

Hence, the value of x is -6/7.

Abigail picked 72 pears. Sandeep picked p fewer pears than Abigail. Choose the expression that shows how many pears Sandeep picked.

Answers

Answer:

72-p=(the number of pears sandeep picked)

Step-by-step explanation:

Answer:

72 - p

Step-by-step explanation:

When it says a number fewer, that means to put it behind rather than in the front.

given that the value of circumference of a circle is 2/3 of its area. determine the length of the radius of the circle!​

Answers

~Geometry

____________

Step-by-step explanation:

circumference = 2.π.rarea = π.r²

So:

⅔ × π.r² = 2.π.r

3 = πr²/πr

3 = r

r = 3

#mathisfun

Find the distance from the point (9, -2) to the line y= 3/2x+ 4.
A)117 units
B)85 units
C)6 units
D)177 units

Answers

Answer:

[tex] \sqrt[3]{5} \: units[/tex]

Step-by-step explanation:

correct me if I am wrong

Solve the following word problems:​

Answers

Answer:

Step-by-step explanation:

SP = ₹ 2250

Loss = 1/2% = 0.5%

[tex]CP = \frac{100}{100-loss}*SP\\\\=\frac{100}{99.5}*2250\\\\[/tex]

= ₹ 2261.31

b) Profit = 15%

[tex]SP = \frac{100+profit}{100}*CP\\\\= \frac{115}{100}*2261.31[/tex]

= ₹ 2600.51

Ferrero Rocher chocolates are manufactured in the shape of spherical balls, which are
wrapped in foil. The Ferrero Rocher Company introduced the Ferrero collection, which
is a package of 15 chocolates, one layer deep in a 3 chocolate x 5 chocolate orientation.
A single chocolate has a diameter of 3.2 cm.

Answers

Answer:

N/A

Step-by-step explanation:

What's the question to the question?

Can someone help me with this math homework please!

Answers

Answer:

8/5

Step-by-step explanation:

[8-(-8)]/[2-(-6)] = 16/10 = 8/5

The snack bar at your school has added sushi to its menu. The ingredients for one roll include sushi​ rice, seaweed​ sheets, cucumbers, cream​ cheese, and 2 oz of smoked salmon. One roll can be cut into 9 servings. Write an expression for the amount of salmon needed to make s servings of sushi. How much salmon is needed to make 18 ​servings? 36 ​servings? 90 ​servings? 100 ​servings?

Answers

Answer:

The answer si:  

- 16 servings - 6 oz of salmon

- 24 servings - 9 oz of salmon

- 80 servings - 30 oz of salmon

- 100 servings - 37.5 oz of salmon

1 roll is 8 servings and it is also made of 3oz of smoked salmon. That means that 3oz of smoked salmon is needed fo 8 servings.

Now, let's made some proportions:

16 servings:

3 oz is for 8 servings, how much oz is for 16 servings:

3 : 8 = x : 16

x = 3 · 16 ÷ 8 = 6 oz

24 servings:

3 oz is for 8 servings, how much oz is for 24 servings:

3 : 8 = x : 24

x = 3 · 24 ÷ 8 = 9 oz

80 servings:

3 oz is for 8 servings, how much oz is for 80 servings:

3 : 8 = x : 80

x = 3 · 80 ÷ 8 = 30 oz

100 servings:

3 oz is for 8 servings, how much oz is for 100 servings:

3 : 8 = x : 100

x = 3 · 100 ÷ 8 = 37.5 oz

A pie chart is to be drawn for Cathy’s spending.
Cathy spent a total of $800 last month.
She spent $120on entertainment last month.

Calculate the size of the angle for entertainment in the pie chart.

Answers

Answer:

54°

Step-by-step explanation:

$800 is 360° of a pie chart

$120 is ?° of the pie chart

?° = (360*120)/800 = 54°

*if you need the answer to be in radiants

(54*π) /180 = 0.942478 rad

Step-by-step explanation

PLSSS HELP ME SOLVE THIS ABSTRACT REASONING QUESTION
I thought it was d but apparently its A and i don't understand!!

Answers

Answer:

A

Step-by-step explanation:

From the first row, you can see the number of circles increase as you move from left to right therefore the same principle was applied for the row below it.


Two numbers have a difference of 28. If the sum of the squares of the numbers is
392, what are the two numbers?

Answers

Answer:

The two numbers are 182 and 210. I hope this will help you.

Need help on this!!!

Answers

Answer:

7.8391

Step-by-step explanation:

Answer:

Step-by-step explanation:

The key to solving this equation is knowing how to "undo" a natural log. Just like square roots are "undone" by squaring, and cubing "undoes" a cubed root, raising a natural log to the base of e, Euler's number, undoes a natural log. Because this is an equation you have to raise both sides of it to the base of e:

[tex]e^{ln(x+3)}=e^5[/tex]

That leaves us on the left with simply

x + 3

On the right we have a constant. e is not a variable, it is a number. You can find its value on your calculator. Solving for x:

[tex]x=e^5-3[/tex] and

[tex]e^5=148.4131591[/tex], so

x = 148.4131591 - 3 and

x = 145.4132, the first choice listed.

The product of two algebraic expression is 4x²-9.If one of the expression is (2x+3),find the other expression​

Answers

Answer:

Solution given:

we have formula

a²+b²=(a+b)(a-b)

now

4x²-9

(2x)²-3²

using formula

(2x+3)(2x-3)

other expression is 2x-3.

Answer:

( 2x - 3 )

Step-by-step explanation:

4x² - 9 is a perfect square meaning it can be factored into 2 expressions,

( 2x + 3 ) ( 2x - 3 )

Without actual division prove that x4 +2x3 -2x2 +2x -3 is exactly divisible by
x2 +2x-3

Answers

Answer:

Step-by-step explanation:                

[tex]\displaystyle\Large\boldsymbol{} x^4+2x^3-2x^2+2x-3= \\\\\\x^4+2x^2(x-1)+2x-\underbrace{2-1}_{-3}= \\\\\\x^4-1+2x^2(x-1)+2x-2 = \\\\\\(x^2-1)(x^2+1)+2x^2(x-1)+2(x-1) = \\\\\\\underline{(x-1)}(x+1)(x^2+1)+2x^2\underline{(x-1)} +2\underline{(x-1)} =\\\\\\(x-1)((x+1)(x^2+1)+2x^2+2)=\\\\\\(x-1)(x^3+x^2+2x^2+x+2+1)=\\\\\\(x-1)(x^3+3x^2+x+3) =\\\\\\(x-1)( \underline{(x+3)}x^2+\underline{(x+3)})=(x^2+1)\underbrace{(x-1)(x+3)}_{x^2+2x-3}= \\\\\\(x^2+1)(x^2+2x-3) : (x^2+2x-3)=x^2+1[/tex]

Solve the simultaneous equation x + 2y =2 and 2x + 5y = 4​

Answers

Answer:

(2,0)

Step-by-step explanation:

   2 (x + 2y) = (2)

   

      2x + 4y = 4

-    2x + 5y = 4

-1y = 0

y = 0

2x + 5(0) = 4

2x = 4

x = 2

Answer:

x=2 y=0

Step-by-step explanation:

solve for y

x+2y=2

x=2-2y

2(2-2y)+5y

4-4y+5y=4

4+y=4

y=0

plug into equation

2x+5(0)=4

x=2

and

x+2(0)=2

x=2

If {3,4,5} is the domain of function f:x --> 2x-1, find the range. ​

Answers

Answer:

Range = {5, 7, 9}

Step-by-step explanation:

Range is the set of values that are the results of respective values of x when placed in the function f(x).

[tex] \mathfrak{\blue {\underline{\implies If\: x = 3 }}} [/tex]

f(3) = 2 × 3 - 1

f(3) = 6 - 1

f(3) = 5

[tex] \mathfrak{\blue{\underline{\implies If \:x = 4 }}} [/tex]

f(4) = 2 × 4- 1

f(4) = 8 - 1

f(4) = 7

[tex] \mathfrak{\blue{\underline{\implies If\: x = 5 }}} [/tex]

f(5) = 2× 5 - 1

f(5) = 10 - 1

f(5) = 9

Therefore, the range is the set of all these values :-

Range = {5, 7, 9}

PLSSS HELP I NEED IT REALLY BAD
1.
(05.01 LC)
A square is shown below. Which expression can be used to find the area, in square units, of the shaded triangle in the square?

A square with a side length of 4 units is shown. A diagonal is drawn with one section shaded inside the figure.
(5 points)


fraction 1 over 4 ⋅ 4 ⋅ 4

fraction 1 over 2 ⋅ 4 ⋅ 4

fraction 1 over 2 ⋅ 2 ⋅ 2

fraction 1 over 4 ⋅ 2 ⋅ 2

Answers

Answer:

If a square has a side length of 4, then the area is 16.

A = [tex]s^{2}[/tex]    where s = side length.

If a diagonal is drawn to create 2 halves, then the area of each half is 8.

So most likely the answer you are seeking is:  [tex]\frac{1}{2}[/tex] ( 4 · 4 )

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