For every $4 Gillian makes, her friend Lucas makes $5.
Lucas makes $54,000 each year. How much does Gillian
make in a year?

Answer:

16 cm

Step-by-step explanation:

Diameter= 2(Radius)

Diameter=2(8)

Diameter=16 cm

The right answer is 16 cm.

You can find diameter by using the formula:

D=r*2

Hope it will help you

Answer:

The probability of getting a nickel, then a dime is 2/21

Step-by-step explanation:

No. of pennies = 9

No. of nickels = 10

No. of dimes = 12

No. of quarters = 5

Total items = 9+10+12+5=36

So, Probability of getting nickel on first draw = [tex]\frac{10}{36}[/tex]

Now the nickle in not replaced

So, Total items = 36-1 = 35

So, Probability of getting dime on second draw =[tex]\frac{12}{35}[/tex]

So, the probability of getting a nickel, then a dime = [tex]\frac{10}{36} \times \frac{12}{35}=\frac{2}{21}[/tex]

Hence the probability of getting a nickel, then a dime is 2/21

Final answer:

The probability of selecting a nickel followed by a dime from a jar filled with various coins, without replacement, is calculated to be 2/21.

Explanation:

The question involves calculating the probability of selecting a nickel and then a dime from a jar containing various coins without replacement. Initially, there are 9 pennies, 10 nickels, 12 dimes, and 5 quarters, totaling 36 coins. To find the probability of selecting a nickel and then a dime, we first calculate the probability of picking a nickel, then multiply it by the probability of picking a dime afterwards.

Probability of selecting a nickel first: 10/36 (as there are 10 nickels out of 36 coins).

After a nickel is selected, there are 35 coins left, including 12 dimes. So, the probability of selecting a dime next is 12/35.

Therefore, the probability of selecting a nickel and then a dime, in that order, without replacement is (10/36) * (12/35) = 120/1260 = 1/10.5, simplifying to 2/21 when expressed in fraction form.

Answer:

56 ml < 562 cl

Step-by-step explanation:

56 ml converted into 5.6

562 cl is converted into 5620

use the formula

56 ml / 10 =5.6 ml

or times ten for cl

562 cl X  10= 5620

Step-by-step explanation:

when you put the number and the square root in the calculator, always at the same time, you should either get a number with a bunch of numbers after the decimal point or not very many. for example, a rational number could be[tex]\sqrt{9[/tex] = 3 where as the numbers could be multiplied (3x3=9). and a irrational number is like [tex]\sqrt{5[/tex] = 2.2360679775, so they cannot be multiplied to get 5. hope this helps!

Answer:

y = 9x -1

Step-by-step explanation:

The slope is 9 and the y intercept ( where x is zero) is -1

We can use the slope intercept form of the equation is

y = mx+b where m is the slope and b is the y intercept

y = 9x -1

Answer:

y=9x-1

Step-by-step explanation:

y=mx+b

m=9

b=-1

Answer: y=9x-1

Answer:

X= 12

Y=-3

Step-by-step explanation:

Answer:

$5,843 or $642

Step-by-step explanation:

At the end of 2 years, your savings will have grown to $5,842.

You will have earned in $642 in interest.

Answer:

(5200×.06) 2.5

Step-by-step explanation:

this would be the equation

Answer:

28.4 in

Step-by-step explanation:

Answer:A

Step-by-step explanation:

divide top and bottom by 6

Answer:

3x+5

Step-by-step explanation:

Answer:

D : Y = 3x + 5

Step-by-step explanation:

on edge :) hope this helps

Step-by-step explanation:

sub. 3 from both sides

distribute 4(2x-6)

8x-24<16

add 24 to both sides

8x<40

divide 8 from both sides

x<5

The correct equation that can be used to find the circumference of the circle is:

C = π x  4.

A circle is a two-dimensional figure with a radius and circumference of 2pir.

The area of a circle is pir^2.

We have,

The formula for the circumference (C) of a circle is:

C = π x diameter

We are given that the diameter of the circle is 4 cm.

Substituting this value into the formula, we get:

C = π x  4

Simplifying the expression, we get:

C = 4π

Therefore,

The correct equation that can be used to find the circumference of the circle is:

C = π x  4.

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Answer:

Phil is 16 inches tall and his shadow is 8 inches tall

Step-by-step explanation:

this is an algebra word problem.

1. Find the unknown and label it x.

Let Phil's shadow be x inches.

2. find other unknown quantities and define them with

Phil's height= 2x (phil is shadow is half as long as Phil is tall)

3. FInd the equation

if he was 4 inches taller (2x+4)

and his shadow was three inches shorter (x-3)

his height ( 2x+4) times the shadow's height (x-3) would be 100 square inches.

(2x+4) ×(x-3)=100

(2x+4)(x-3)=100

this is a quadratic equation and there are a number of ways to solve these. the two main ways are

1. quadratic equation

2. expanding and factorising

3. graphing

we will use 2. expanding and factorising for this problem. We need to make the right hand side = 0 by first factorising then rearranging.

(2x*x)+(2x*-3)+(x*4) +(4*-3)=100

2x^2 -6x+4x-3x-12=100

2x^2 -2x=112

2x^2 -2x-112=0

once factorised take out the common factor of 2

2(x^2-x-56)=0

now factorise what's in the brackets ( two numbers multiply to make 56 but add to make -1.

2(x-8)(x+7)=0

x-8=0 =>   x=8

x+7=0        x=-7 not possible

the shadow is 8 inces long. Phil is 16 inches tall.

Hope this is of help :)

Phil's height is 16 inches, and the length of his shadow is 8 inches.

To solve the problem, we will let Phil's height be denoted by h (in inches) and the length of his shadow be s (in inches).

1. Phil's shadow is half as long as Phil is tall.

2. If Phil were 4 inches taller and his shadow were 3 inches shorter, the product of his height and his shadow's length would be 100 square inches.

From the first condition:

[tex]\[ s = \frac{h}{2} \][/tex]

From the second condition, we can write the equation involving the modified height and shadow:

[tex]\[ (h + 4) \times (s - 3) = 100 \][/tex]

Next, substitute [tex]\( s = \frac{h}{2} \)[/tex] into the equation:

[tex]\[ (h + 4) \times \left(\frac{h}{2} - 3\right) = 100 \][/tex]

Simplify inside the parentheses:

[tex]\[ (h + 4) \left(\frac{h - 6}{2}\right) = 100 \][/tex]

Multiply both sides by 2 to eliminate the fraction:

[tex]\[ 2(h + 4) \left(\frac{h - 6}{2}\right) = 2 \times 100 \][/tex]

[tex]\[ (h + 4)(h - 6) = 200 \][/tex]

Expand the left-hand side:

[tex]\[ h^2 - 6h + 4h - 24 = 200 \][/tex]

[tex]\[ h^2 - 2h - 24 = 200 \][/tex]

Move 200 to the left side to set the equation to zero:

[tex]\[ h^2 - 2h - 224 = 0 \][/tex]

Now, we solve the quadratic equation using the quadratic formula [tex]\( h = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} \) where \( a = 1 \), \( b = -2 \), and \( c = -224 \):[/tex]

[tex]\[ h = \frac{-(-2) \pm \sqrt{(-2)^2 - 4(1)(-224)}}{2(1)} \][/tex]

[tex]\[ h = \frac{2 \pm \sqrt{4 + 896}}{2} \][/tex]

[tex]\[ h = \frac{2 \pm \sqrt{900}}{2} \][/tex]

[tex]\[ h = \frac{2 \pm 30}{2} \][/tex]

This gives us two potential solutions:

[tex]\[ h = \frac{32}{2} = 16 \][/tex]

[tex]\[ h = \frac{-28}{2} = -14 \][/tex]

Since height cannot be negative, we discard ( h = -14 ).

Thus, Phil's height is:[tex]\[ h = 16 \text{ inches} \][/tex]

Using [tex]\( s = \frac{h}{2} \)[/tex]:

[tex]\[ s = \frac{16}{2} = 8 \text{ inches} \][/tex]

The point where two lines meet is known as an angle. The value of x if OA is perpendicular to OC is 30 degrees

The point where two lines meet is known as an angle.. From the given diagram;

(180 - 4x) + x = 90

Simplify the result

180 - 3x = 90

Subtract 180 from both sides

-3x = 90 - 180

-3x = -90

Divide both sides by -30

x = 90/3

x =30degrees

Hence the value of x if OA is perpendicular to OC is 30 degrees

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Answer: 62.4

Step-by-step explanation: just multiplied 2.6 x 3 x 8

Answer:

i think it is A

Step-by-step explanation:

Answer:

the same amount

Step-by-step explanation

4/10 half of four is 2

and half of 10 is 5

which is 2/5

Answer:

D. 913 people

Step-by-step explanation:

a) Igor's data point on the graph represents his salary and age after re-doing his medical training in the UK. b) The scatter graph might support the managing director's conclusion that salary is linked to age if there is a positive correlation between age and salary. c) To make the conclusion more reliable, other factors like years of experience and specialization should be considered.

a) Igor's data point on the scatter graph would represent his salary and age after re-doing his medical training in the UK. This data point would likely be separate from the other data points for experienced surgeons in the UK.

b) The scatter graph might support the managing director's conclusion that salary is linked to age if there is a positive correlation between age and salary for the surgeons in the data. This means that as age increases, salary also tends to increase.

c) To make the conclusion more reliable, additional factors should be taken into account, such as years of experience, specialization, and performance ratings, as these factors may also contribute to salary differences among surgeons.

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Answer:

any whole number between 0 and 14, so 13 would work as a possible solution.

Step-by-step explanation:

0<x<14

Answer:

0.103

Step-by-step explanation:

Answer:

0.103

Step-by-step explanation:

Answer: D.

Step-by-step explanation:

First, find the area of the two squares:

The photograph: (-3, -2), (-2, 2), (2, 1), and (1, -3).

The square is diagonally aligned, so we need to find the length between two points in order to find the area.

I will use (1, -3) and (2, 1).

There is a 1 unit length and a 4 unit height. We can use the Pythagorean theorem to find the hypotenuse of the triangle, which is the length of the square's side:

1^2 + 4^2 = x^2

1 + 16 = x^2

x = square root of 17

The side length for the square of the photograph is the square root of 17, so the area of the photograph is 17 units^2.

The red paper has side lengths of 8. The distance between (-4, 4) and (4, 4) is 8 units wide, so we do not need to use the Pythagorean theorem.

Now that we know the area of the red paper and photograph, you can subtract the area to find the red paper with the hole:

64 - 17 = 47 square units.

Answer:

D

Step-by-step explanation:

Let's plot these points (see attachment).

We need to find the area of the paper and then the area of the photograph and subtract the photograph area from the red paper area.

The area of the big paper is easy; the side lengths of the square are 8 by 8, so the area is 8 * 8 = 64 square units.

Now, to find the area of the photograph, we just need the length of one side because it's a square. We use the distance formula between any two adjacent points; let's do (-2, 2) and (2, 1):

d = [tex]\sqrt{(2-1)^2+(-2-2)^2} =\sqrt{1+16} =\sqrt{17}[/tex]

Then the area is (√17)² = 17.

Subtract 17 from 64:

64 - 17 = 47

The area is 47 square units, or D.

To determine the clown's travel rate, divide the distance by time, resulting in a speed of 53 feet per second.

The student has asked how many feet per second the clown traveled if he was shot 212 feet into a net in 4 seconds. To find the rate of the clown's travel, we can use the formula for speed which is distance divided by time. So, we would take the total distance traveled, 212 feet, and divide it by the total time it took, which is 4 seconds.

The calculation would be:

Speed = Distance \/ Time

Speed = 212 feet \/ 4 seconds

Speed = 53 feet per second.

Therefore, the clown was traveling at a rate of 53 feet per second.

Properties of functions can be compared graphically using line graphs, bar graphs, or pie charts or algebraically. Ensure you're comparing similar properties like domain, range, minima, or maxima among others. Keep in mind the old rule, you can't compare apples and oranges - make sure quantities you are comparing are dimensionally consistent.

Comparing properties of two functions each represented in a different way can incorporate various methodologies including algebraically or graphically analyses. This comparison can be facilitated using different kinds of plots such as line graphs, pie charts, or bar graphs. The key is to ensure you are comparing similar properties of the functions such as domains, ranges, minima, maxima, or continuity to name a few.

Line graphs are particularly useful in depicting relationships between two variables where one is on the x-axis and the other on the y-axis. This can be used to reveal trends, patterns or comparisons in the data. Pie charts illustrates how something is apportioned or distributed such as amounts or categories. Each slice signifies a proportion of the whole. Bar graphs, on the other hand, utilise the height of bars to depict relationships. Each bar represents a particular entity or category, and can also be subdivided for more comprehensive insights.

Remember, it's vital that you're comparing apples to apples - in other words, that the quantities or aspects of the functions you're comparing are dimensionally consistent.

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Answer:

On average, A New Leash on Life Animal Clinic treats MORE DOGS PER DAY than No Ruff Stuff Animal Hospital.

Step-by-step explanation:

Answer:

On average, A New Leash on Life Animal Clinic treats more dogs per day than No Ruff Stuff Animal Hospital.

Step-by-step explanation:

I took the quiz and got it right

Answer:

135

Step-by-step explanation:

1. 540/60=9

2.9×15=135

Answer:

b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

I am doing the same thing and I don't know  what it is and I need help..

Step-by-step explanation:

I need help on this one too

Answer:

D

Step-by-step explanation: