Nicole can run 4
laps in 2/5 hour.
How long will it
Hake her to run 5
laps?

[tex]7.01568 * 10^6=7015680[/tex] minutes

There are:

60 minutes in an hour

24 hours in a day (60 * 24 = 1440 minutes)

30 days in a mouth (1440 * 30 = 43,200 minutes)

360 days in a year (1440* 365 = 525,600 minutes)

To find out how many years old she is we must divide the number of minutes old she is by the number of minutes in a year.

7015680 / 525,600 = 13 years with a remainder of 182,880 minutes

To find out how many months old she is we must divide the remaining minutes by the number of minutes in a month.

182,880 / 43,200  = 4 months with a remainder of 10,080 minutes

To find out how many days old she is we must divide the remaining minutes by the number of minutes in a day.

10,080 / 1440 = 7 days

Answer: Mia is 13 years, 4 months and 7 days old

Answer:

£1 = 100p

100:26

÷2

=50:13 thats the answer

Answer:

right

Step-by-step explanation:

two transverse lines make a right angle ... no triangle gas 2 right angles

The correct answer is A. In a Zero-Based Budget, you spend your checking account balance down to $0 every month.

Zero-base budgeting is an analysis and planning method that is used in cost management, in which the budget is planned from base zero.

Each department has to define different measures for the coming period. The total budget is now divided among the most important measures until it is used up. Particularly important measures are carried out with the special solution, rather unimportant measures with the minimal solution.

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Answer:

Step-by-step explanation:

Find the perimeter of an isosceles triangle whose equal sides have a size of 10 m each and the angle between them equal to 30°. We need to know all sides in order to find the perimeter of this triangle. Let x be the base of this isosceles triangle.

Answer:

136 miles

Step-by-step explanation:

subtract $119.59 with how much he rented the truck for, which is $18.95 which makes his money at $100.64, then divide by how much each mile costed which was 74 cents

which gives you 136 so 136 miles.

Hope this helps :)

Answer:

12)

a =140º

b=40º

c=40º

d 140º

Step-by-step explanation:

a line is 180º

Answer:  π = c/d

Step-by-step explanation: srry if its wrong im not well at math

Answer: $2.18

Step-by-step explanation:

 You are trying to solve for the cost of one bag or unit cost. Take

  the amount of money spent and divide it by the number of bags

  purchased.

  10.90 ÷ 5 = 2.18

Answer:

2.60

Step-by-step explanation:

4.70 hotdogs

fries 1.25

water 2.60= 8.55-10=1.45

Answer:

(3,-7)

Step-by-step explanation:

The point where they cross is the solution

Answer:

Q4) 256 roses

Q5) 40 hamburgers

Q6) 60 professors and 168 lecturers

Q7) 20 percussionist on the sideline

Step-by-step explanation:

Q4) First to set up a proportion you simply have to write a letter to represent the missing number. In this case we'll be using x. So it'll look something like these:

I) 160:5 = x:8 (using colon) or

II) 160/5 = x/8 (as two equal fractions)

You can use one of the two above.

I used the fractions here to solve the question.

After setting up the proportion, your going to cross multiply to get the value of x so its going to look like this:

160×8 = 5×x

1280 = 5x

5x = 1280

Now you have to divide on both sides to isolate x.

5x÷5 = 1280÷5

x = 256

Therefore your answer is 256 roses.

Q5) Use the same method in Q4.

Q6) This is where the proportion using colon comes in. It should look like this 5:14. 5 representing the professors and 14 the lecturers. Now it said that the total number of faculty members is 228.

First thing your going to do is add the proportion together. So basically 5+14=19.

After acquiring this your going to use the sum to divide the total number of faculty members which is 228. So 228÷19=12.

And finally you now have to multiply both sides of the proportion by 12. Therefore 5×12:14×12

60:168

To make sure the answer is right add the proportions of the working above which will give you the total number of faculty members. 60+168=228.

Your final answer: There are 60 professors and 168 lecturers.

Q7) Use the same method done in Q6.

I gave the answers to questions 5 and 7 because I wanted to give you the opportunity to try out the working outs yourself for a better understanding on your part and see if you can get the same answers as me. Anyway hope this helped.

The statements that are true about the functions are:

The leading coefficient is positive.

It has two relative maximums

It has four linear factors.

One of the zeroes is x = 2.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

From the graph,

The graph passes through the following points on the graph.

x = -4

x = -2

x = 2

x = 6

This means the polynomial function is:

P(x) = (x + 4)(x + 2)(x - 2)(x - 6)

If we simplify the polynomial we get,

P(x) = (x² + 2x + 4x + 8) (x² + 6x - 2x + 12)

P(x) = [tex]x^{4}[/tex] + 6x³ - 2x³ + 12x² + 2x³ + 12x² - 4x² + 24x + 4x³ + 24x² - 8x² + 48x + 8x² + 48x - 16x + 96

P(x) =[tex]x^{4}[/tex] + 10x³ + 44x² + 104x + 96

The leading coefficient is positive 1 so it is positive.

The constant term is a positive number (96).

The relative maximum is a point on the graph where the function changes from increasing to decreasing.

So,

From the graph, there is only one point.

So only one relative maximum.

The relative minimum is a point on the graph where the function changes from decreasing to increasing.

So,

From the graph, there are two relative maximums.

The function has four linear factors

(x + 4), (x + 2), (x - 2), and (x - 6).

x = -4, x = -2, x = 2, and x = 6

Thus,

The statements that are true about the functions are:

The leading coefficient is positive.

It has two relative maximums

It has four linear factors.

One of the zeroes is x = 2.

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The quadratic equation with the given conditions is:

[tex]f(x) = \frac{3}{16}(x^2 + 2x - 24)[/tex]

The standard form of a quadratic equation with roots [tex](x_1,0)[/tex] and [tex](x_2,0)[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2)[/tex]

In which a is the leading coefficient.

In this problem, the roots are [tex]x_1 = -6, x_2 = 4[/tex], thus:

[tex]f(x) = a(x - (-6))(x - 4)[/tex]

[tex]f(x) = a(x + 6)(x - 4)[/tex]

[tex]f(x) = a(x^2 + 2x - 24)[/tex]

It passes through point (2,-3), which means that when [tex]x = 2, f(x) = -3[/tex], and this is used to find a.

[tex]a(2^2 + (2)(2) - 24) = -3[/tex]

[tex]-16a = -3[/tex]

[tex]a = \frac{3}{16}[/tex]

Thus, the equation is:

[tex]f(x) = \frac{3}{16}(x^2 + 2x - 24)[/tex]

A similar problem is given at https://brainly.com/question/17987697

The measure of m∠14 is 110 degrees and the angle relationship is a supplementary angles

Let us assume that angle m∠10 and m∠14 are supplementary, this means that the sum of both angles will be 180 degrees.

Since the angles are supplementary, hence the required expression will be:

m∠10 + m∠14 = 180

Given that m∠10 = 70 degrees

70 + m∠14 = 180

m∠14 = 180 - 70

m∠14 = 110 degrees

Hence the measure of m∠14 is 110 degrees and the angle relationship is a supplementary angle.

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Answer:

the answer is 6

Step-by-step explanation:

the absolute value is how far from 0 the number is on the number line. -6 is 6 away from 0

Answer:

B. 7.5%

Step-by-step explanation:

First, we need the Simple Interest (S.I)

Total = Principal + Simple Interest

T = P + S.I

6500 = 5000 + S.I

[make S.I the subject of the formula]

S.I = 6500 - 5000

S.I = 1500

Simple Interest = (Principal × Rate × Time) / 100

S.I = (P × R × T) / 100

1500 = (5000 × R × 4) / 100

1500 = 20000R / 100

1500 = 200R

[divide both sides of the equation by 200]

1500 / 200 = 200R / 200

R = 1500 / 200

R = 7.5

The annual interest rate is 7.5%

Answer:

Step-by-step explanation:

Weight decreased = 108 - 88 =  20 Kg

Percentage decrease = [tex]\frac{20}{108}*100[/tex]

                   = 18.52%

Answer:

y = 120x + 100

x = y/120 - 5/6

Step-by-step explanation:

Answer:

The answer is $48

Step-by-step explanation:

48x15=720

Answer:

85

Step-by-step explanation:

Equation-

48 seconds / 12 copies = 4 seconds per copy

4 seconds per copy x 5 copies = 20 seconds

Answer: 20 seconds

Answer:

True

Step-by-step explanation:

The Factor theorem states that  for any polynomial f(x) if f(c)=0 then x-c is a factor of the polynomial f(x).

If any polynomial f(x) is divided by x-a and remainder is 0 that means f(a)= 0 .In other words we can say x-a is a factor of the polynomial f(x).So the statement :If a polynomial is divided by (x-a) and the remainder equals zero then (x -a) is a factor of the polynomial is True.

Have a happy day! <3Miss Hawaii

Answer:

7/100 × 4.2 = 0.294ft

(find 7% of 4.2 ft)

4.2-0.294= 3.91 ft

(subtract 7% from 4.2ft)

FINAL ANSWER: depth of river this year is 3.91 ft

Answer:

The answer is 3x3x3x3

Step-by-step explanation:

Reason: The 4 on top is an exponent. That exponent shows how many 3's you need to put. You need to put 4 3's, so 3x3x3x3

Answer is corresponding angle

Answer:

b

Step-by-step explanation:

Answer:

1.32 x 104: 2.64 x 103

1.32 x 10*4 1.32

------------ = ----- x 10*4-3 = 0.5 x 10 = 5

2.64 x 10*3 2.64

Step-by-step explanation:

A scale on a map is used to compare one length with another length.

The two locations on the map are 3 centimeters apart.

From the question, a map represents every 18 kilometers with 1 centimeter. Hence:

18 kilometers = 1 centimeter

54 kilometers = ?

Cross Multiply

54 kilometers x 1 centimeter / 18 kilometers

= 3 centimeters.

Therefore, the two locations on the map are 3 centimeters apart.

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