River racing us a company that provides inner tubes for a children and adults to float the river. The child tube has a diameter of 4 feet. River racing owns a total of 160 tubes and the total diameter of all the tubes is 430 feet. Write a system to determine the number of child tubes , c , and number of adult tubes, a , that river racing owns.

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

River racing us a company that provides inner tubes for a children and adults to float the river. The child tube has a diameter of 2 feet and the adult tube has a diameter of 3 feet. River racing owns a total of 160 tubes and the total diameter of all the tubes is 430 feet. Write a system to determine the number of child tubes , c , and number of adult tubes, a , that river racing owns.

Solution:

Let c represent the number of child tubes and let a represent the number of adult tubes owned by river racing.

Given that there are a total of 160 tubes, hence:

a + c = 160        (1)

The total diameter of all tubes is 430 feet, hence:

3a + 2c = 430   (2)

To find a and c, we have to solve equation 1 and 2 simultaneously. multiply equation 1 by 2 and subtract from 2:

a = 110

Put a  = 110 in eqn 1:

110 + c = 160

c = 50


Related Questions

which set of sides will NOT make a triangle?
19cm 14cm 7cm
11cm 13cm 3cm
12cm 7cm 5cm
2cm 3cm 4cm

Answers

Answer:

12cm 7cm 5cm

Step-by-step explanation:

Since 7 + 5 is = 12, it cannot be a side of a triangle. If you add any 2 numbers, the sum must be greater than the 3rd one.

a coin is tossed and a dice is rolled. What is the probability of getting tails with rolling a 2?

Answers

Answer:

50% for the coin and 1/6 chance for the dice

find the area of the regular polygon

Answers

Answer:

i would recamend useing a ruler to help?

Step-by-step explanation:

mark me brainlyest i really need it

If it is 6 m from the center use the formula for a triangle (a=bh/2) then multiply by 5 because that is how many sides there Are

-1 = d/4

solve the equation.

Answers

Answer:

d = -4

Step-by-step explanation:

Multiple both sides by 4 to get rid of the fraction

Answer:

d = - 4

Step-by-step explanation:

Given

- 1 = [tex]\frac{d}{4}[/tex] ( multiply both sides by 4 to clear the fraction )

- 4 = d

You want to frost a 13 in. by 9 in. cake that you just baked when you notice your little brother ate a piece right out of the middle. What area of cake is left to be frosted if he ate a 2 in. by 2 in. piece? no links pls :) thanks will give brainliest

Answers

Answer:

113 inches

Step-by-step explanation:

13 times 9 is 117 inches (this is the area for the whole cake)

2 times 2 is 4 (this is just the middle)

But since the brother ate the middle you will have to subtract the area of the middle piece from the whole area.

117-4 is 113 so the area now is 113 inches

What is the unit rate for how many insects a praying mantis eats in one day?

Answers

Answer:

It's 7

Step-by-step explanation:

49 insects per week means that they eat 7 insects per day, 49 divided by 7 = 7.

What is the radius of 18 circle?




Answers

To find the radius, then, we insert 18 in for the circumference. So 18=2∏r. Solving for r gives 9/∏, or approximately 2.86 inches.

Will give brainliest if correct
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Click and place the correct answers inside the empty boxes.

Answers

Answer: put the parallelograms in the box that says 2 pairs of parallel sides next put the squares in the box that says 4 right angles the put rectangles in the box that says 4 congruent sides and last put rhombuses in the middle box that says 4 right angles and 4 congruent sides

Step-by-step explanation:

Find the volume of the cone. 10 in 20 in​

Answers

Answer:

its 47

Step-by-step explanation:

so you add a number and then you subtract and then you divide and yiu get 4657848

What is the positive solution to this equation?
4x2 + 12 x= 135

Answers

The answer is 2.25.

60 tickets to a concert was sold. Adult tickets cost $5 while children’s tickets cost $3.50. A total of $250 was collected. How many adult and children tickets were sold?

Answers

Answer:

Number of adults tickets sold = x

= 26.67 tickets

Number of children tickets sold = y = 33.33 tickets

Step-by-step explanation:

Let

Number of adults tickets sold = x

Number of children tickets sold = y

x + y = 60 (1)

5x + 3.50y = 250 (2)

From (1)

x = 60 - y

Substitute x = 60 - y into (2)

5x + 3.50y = 250

5(60 - y) + 3.50y = 250

300 - 5y + 3.50y = 250

- 5y + 3.50y = 250 - 300

- 1.50y = 50

y = -50/-1.50

y = 33.33

Substitute y = 33.33 into 1

x + y = 60

x + 33.33 = 60

x = 60 - 33.33

x = 26.67 tickets

Number of adults tickets sold = x

= 26.67 tickets

Number of children tickets sold = y = 33.33 tickets

Tea bags are sold in three sizes of box. A small box of 50 tea bags costs £2.15 A medium box of 80 tea bags costs £3.29 A large box of 125 tea bags costs £5.17 Which size of box is the best value for money?

Answers

Answer:

medium box

Step-by-step explanation:

The computation is shown below:

For small box,

= £2.15 ÷ 50

= £0.043

For medium box

= £3.29 ÷ 80

= £0.041125

And, for large box

= £5.17 ÷ 125

= 0.04136

So as per the above calculation the medium box should represent the best value for the money

Take a factor out of the square root:

Answers

Answer:

[tex]-y\sqrt{3}[/tex]

Step-by-step explanation:

Under the radical there is a perfect square, one can take the perfect square out, and write it by its square root. The result of taking the principal square root is always positive, but it is given that the perfect square factor is negative, thus, one must multiply the square root by the negative sign to ensure that the result is positive.

Answer:

[tex]-y\sqrt{3}[/tex]

Step-by-step explanation:

What is the value of x?



Enter your answer in the box.

x =

PLEASE ANSWER I WILL MARK BRAINLIEST FOR CORRECT ANSWER!

Answers

Answer:

Step-by-step explanation:

(x+1)/58.8=35/49

x+1=58.8(35)/49

x+1=42

x=41cm

Answer:

41 cm

Reason its 41cm, just answered this

Question 4: Expand -4(3g + 6)​

Answers

Answer:

-12g - 24

Step-by-step explanation:

-4(3g + 6)​

-12g - 24

Can you help me figure it out? What is the side length of side AE?

Answers

Answer:

18

Step-by-step explanation:

maybe i dont really know

Help me ASAP!!!!!!!!!

See picture attached.

Good Luck

Answers

xsd

Step-bddy-step explanatison:

xddAnswer:ddsd

HELPPP MEEE ASAP PLEASE HELP

Answers

Answer:

look up how to find the area if a kite thats what i do

Step-by-step explanation:

Answer:A. 336 square units

Hope it help plz ♥ heart and vote plz..

Write the equation in standard form for the circle x2+y2–49=0.

Answers

Answer:

2x+2y=49

Step-by-step explanation:

tell me if this is wrong

what is the derivative of 4x+ k​

Answers

Answer:

[tex]\displaystyle \frac{dy}{dx} = 4[/tex]

General Formulas and Concepts:

Calculus

Differentiation

DerivativesDerivative Notation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]  

Basic Power Rule:

f(x) = cxⁿf’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

*Note:

Treat k as an arbitrary constant.

Step 1: Define

Identify

[tex]\displaystyle y = 4x + k[/tex]

Step 2: Differentiate

Derivative Property [Addition/Subtraction]:                                                 [tex]\displaystyle y' = \frac{d}{dx}[4x] + \frac{d}{dx}[k][/tex]Rewrite [Derivative Property - Multiplied Constant]:                                   [tex]\displaystyle y' = 4 \frac{d}{dx}[x] + \frac{d}{dx}[k][/tex]Basic Power Rule:                                                                                         [tex]\displaystyle y' = 4[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

Molly ate 1/4 pint of ice-cream. Her sister did not want the last 2/4 pint of her own ice-cream, so Molly ate it. How much ice-cream did Molly eat? Pint

Answers

Answer:

3/4 a pint

Step-by-step explanation:

1/4 + 2/4 = 3/4

What Is 2x5+4 Im kinda confused

Answers

The answer is 2x5+4=14

Is this correct?????

Answers

Answer:

yes

Step-by-step explanation:

I need help please!!!!

Answers

Answer:

y = x + 3

Step-by-step explanation:

Can someone give me the correct answer to this question.

I will mark you brainliest for the correct answer.

The answer choices are at the bottom of the pick.

This is a big test.

Please help!!!

Answers

Answer:

Step-by-step explanation:

Supplementary

180-112= 68

alternate exterior

112

Answer:

∡4 and ∡3 are supplementary

∡3 = 68°

∡5 is an alternate-exterior to ∡4

∡5 = 112°

Step-by-step explanation:

Doreen bought 2 liters of lemonade. How many millimeters of lemonade did Doreen buy? ​

Answers

Answer:

2000 milliliters, because 1 liter equals 1000 milliliters, so 2 equals 2000! hope this helped!

Two number cubes are rolled.


What is the probability that the first lands on an odd number and the second lands on an even number?


Enter you answer, as a fraction in simplified form, in the box

Answers

Answer:

1/4

Step-by-step explanation:

Assuming the number cube is a six-faced die, you have

1 2 3 4 5 6

three odd numbers, and three even numbers. Therefore, the chance of it landing on an odd number or even number is 3/6, which equals 1/2. That means you have a 50% chance to get an odd number, or an even number.

So, you have two die. Both have a 50/50 chance of getting an even or odd number. So what's the chance of one landing on an odd number, and the other landing on an even number?

You would have a 25% chance for an even and then an even numberYou would have a 25% chance for an odd and then an odd numberYou would have a 25% chance for an even and then an odd numberYou would have a 25% chance for an odd and then an even number.

25% as a simplified fraction is 1/4. Therefore, 1/4 is your answer.

Answer:

1/4

Step-by-step explanation:

Find M<1, M<2, M<3, M<4, M<5

Answers

Answer:

Step-by-step explanation:

m∠2 = 52° [Alternate interior angles]

m∠1 + m∠2 = 180° [Linear pair of angles are supplementary]

m∠1 = 180° - 52°

m∠1 = 128°

m∠3 = 47° [Alternate interior angles]

m∠5 + 52° + 47° = 180° [Sum of linear angles is 180°]

m∠5 = 180° - 99°

        = 81°

m∠4 + 47° = 180° [Sum of consecutive interior angles is 180°]

m∠4 = 180° - 47°

m∠4 = 137°

(BRAINLIEST!!) Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
The polygons are similar, but not necessarily drawn to scale. Find the value of x.


question 3/4

Answers

Answer:

i am having trouble with that too

Step-by-step explanation:

Answer:

Since we are told that the two given polygons are said to  similar, their corresponding side lengths are proportional to each other.

so to solve

(x - 3)/2.5 = 16/4

(x - 3)/2.5 = 4

Multiply both sides by 2.5

x - 3 = 4 × 2.5

x - 3 = 10

Add 3 to both sides

x = 10 + 3

x = 13

So the value of x is 13.

hope this helps

What is the vertex of the following quadratic equation?
y = 7(x + 5)2 + 4

A. (5,4)
B. (-4,5)
C.(-5, 4)
D. (7,-4)

Answers

Answer:

C.(-5, 4)

Step-by-step explanation:

The vertex form of a parabola of this type is:

y = a ( x − h ) 2 + k  [1]

where  ( h , k )  is the vertex.

Explanation:

Given:

y = 7 ( x + 5 )² + 4  [2]

We can convert equation [2] into the same form as equation [1] by writing  

+5  as − − 5 :

y = 7 ( x − − 5) ² + 4  [3]

We observe that the vertex is

( − 5 , 4 )

hope it will help :)

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