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The ratio of adults to children on a field trip is 2:7. If there are 14 adults on the trip, how many children are there?​

Answers

Answer 1
Answer:

Answer:

49

Step-by-step explanation:

Let's set up a proportion!

2         14

--         --

7          x

Now, we cross multiply

14 times 7 = 98

2 times x = 2x

98 = 2x

98 divided by 2 equals 49
Answer 2
Answer:

Answer:

49 children

Step-by-step explanation:

Adult : Child = 2 : 7

Adult = 14

2 = 14

So, 1 = 14/2 = 1 = 7 in the ratio.

So, 7 x 7 = 49 children are there.

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I need help with math ​
Question 6/6What is the 100th term of the sequence with the following explicit rule: f(n) = 9n-1А. 900ООB. 899
5-11. A polymer is manufactured in a batch chemical process. Viscosity measurements are normally made on each batch, and long experience with the process has indicated that the variability in the process is fairly stable with 20. Fifteen batch viscosity measurements are given as follows: 724, 718, 776, 760, 745, 759, 795, 756, 742, 740, 761, 749, 739, 747, 742. A process change is made that involves switching the type of catalyst used in the process. Following the process change, eight batch viscosity measurements are taken: 735, 775, 729, 755, 783, 760, 738, 780. Assume that process variability is unaffected by the catalyst change. Find a 90% CI on the difference in mean batch viscosity resulting from the process change. What is the practical meaning of this interval
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What is the solution of the following quadratic inequality? x2 – 4x – 21 ≤ 0

Write down all elements of the set {XER: X3 -x = 0).

Answers

Answer:

The elements of given set are -1, 0 and 1.

Step-by-step explanation:

The given set is

\{x\in R:x^3-x=0\}

We need to find all the elements of given set.

The given equation is

x^3-x=0           .... (1)

Solve this equation o find the value of x.

Taking out common factors.

x(x^2-1)=0

Using zero product property,

x=0

x^2-1=0

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x=\pm 1

All rational and irrational numbers are real numbers.

On solving equation (1) we get x = -1, 0, 1. All these numbers are real number. So, the elements of given set are -1, 0 and 1. The set is defined as

{ -1, 0, 1}

Therefore, the elements of given set are -1, 0 and 1.

Which phrase represents the algebraic expression 3d+7?

Answers

Answer:

3 multiplied by a variable d and add seven to it

Step-by-step explanation:

3 multiplied by a variable d and add seven to it.

a engine supplies 120 hp to an electric generator and the generator delivers 80 hp of electrical power . What is the efficiency of the generator ?

Answers

56 mph + 89 = idont know any thing

Final answer:

The electric generator has an efficiency of approximately 66.67%, which means that 66.67% of the input energy is converted into usable electrical power.

Explanation:

The question wants to know about the efficiency of an electric generator. The efficiency of any engine or generator is defined as the ratio of useful energy output to the energy input. In this case, the energy input to the generator is 120 hp (horsepower) and the useful energy output (i.e electrical power) is 80 hp.

The formula used to calculate the efficiency is: Efficiency = (useful energy output / energy input) * 100% , Using this formula, the efficiency of the generator would be (80 / 120) * 100% = 66.67 % .

This means that 66.67% of the energy supplied to the generator is successfully converted into electrical power, while the rest is likely lost as heat or other forms of non-usable energy.

Learn more about Generator Efficiency here:

brainly.com/question/28815607

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What is the slope of the line that goes through the points (6, 4) and (8, −2)? A. −6 B. −3 C. − 1 3 D. 3

Answers

Answer:

B -3.

Step-by-step explanation:

The slope = (y2-y1)/(x2-x1)

= (-2-4)/(8-6)

= -6/2

= -3.

A truck can be rented from Company A for $130 a day plus $0.50 per mile. Company B charges $50 a day plus $0.70 per mile to rent the same truck. How many milesmust be driven in a day to make the rental cost for Company A a better deal than Company B's?
For Company A to have a better deal, the truck must be driven more than miles per day

Answers

Answer:

200 miles

Step-by-step explanation:

hope this helps :)

Answer:

The charges of both companies will be same if truck is driven 200 miles per day

Company A will have better deal if truck is driven more than 200 miles per day ( because per mile rate of company A is less than company B

Step-by-step explanation:

Let the truck is driven X miles per day

Charges of company A will be = 90+0.4X

Charges of company B will be =30+0.7X

Let us find out value of X when charges of both companies are same

which means that   90+0.4 X= 30+0.7X

                            90-30      = 0.7X-0.4X

                            60    = 0.3X

                             60/0.3 = X

                             X= 200

Consider the series 4+8+16+32+...
What is the common ratio?

Answers

The common ratio is 24 x 2 = 88 x 2 = 1616 x 2 =32
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