Eudora ran from her home to her secret laboratory at an average speed of 12\text{ km/h}12 km/h12, start text, space, k, m, slash, h, end text. She then took one of her jetpacks and flew to her school at an average speed of 76\text{ km/h}76 km/h76, start text, space, k, m, slash, h, end text. Eudora traveled a total distance of 120120120 kilometers, and the entire trip took 222 hours. How long did Eudora spend running, and how long did she spend flying using her jetpack? Eudora ran for hours and flew for hours using her jetpack.

Answer:

48.8 years

Step-by-step explanation:

A=p(1+r/n)^nt

A= total amount

p= initial investment (800_

r/n= annual interest rate over number of years( 2.25)

t= number of years compounded ( annually , biannually, quarterly etc.)

48.8 years

Answer:

-6

Step-by-step explanation:

Answer:

thirty two multiplied by one fourth equals eight

Step-by-step explanation:

Answer:

7 teams with 6 girls and 8 boys on each team

Step-by-step explanation:

Both 42 (girls) and 56 (boys) are divisible by 7 (getting 6 and 8).

Therefore, there would be 6 girls and 8 boys on each team.

The ratio would be 6 girls:8 boys per team.

Check:

6•7=42 ––(6 girls amongst 7 teams = 42 girls total)

8•7=56 ––(8 boys amongst 7 teams = 56 boys total)

Answer:

The answer is X=-2

Step-by-step explanation:

Subtract 5 from both sides

The five cancels itself out on the left side

X+5=17

-5       -5

x =    -12

Answer:

12

Step-by-step explanation:

Move all terms not containing x to the right side of the equation. Hope this helped! :)

Answer:

Q' = (6,3)

Step-by-step explanation:

You can think of this problem in two ways:

Graph:

I've shown my working for this, where I've counted how many units it takes to get from point Q to the axis through which im reflecting. There are 6 units between Q and the y axis, so naturally there should be 6 units between Q' and the y axis.

Coordinates:

Since this is a reflection through an axis, we can assume that the the x coordinate of point Q' will be equal and opposite to Q. Therefore, while the x coordinate of Q was -6, of Q' it's 6

Answer:

D. 6x(63-3y)

Step-by-step explanation:

You would be multiplying

Step-by-step explanation:

You want to be very carful with the parentheses for this question.

You want to find the equation that is 6 times the value of 63 - 3y, so you want to put the equation 63 - 3y in one big parentheses.

6 x (63 - 3y)

Answer:

y = 3, y = - 1

Step-by-step explanation:

P is the centroid of the triangle.

Centroid of a triangle divides the median in the ratio 2 : 1

Therefore,

BP : PV = 2 : 1

[tex] \frac{BP}{ PV} = \frac{2}{1} \\ \\ \frac{ {y}^{2} + 1 }{y + 2} = \frac{2}{1} \\ \\ {y}^{2} + 1 = 2y + 4 \\ \\ {y}^{2} + 1 - 2y - 4 = 0 \\ \\ {y}^{2} - 2y - 3 = 0 \\ \\ {y}^{2} - 3y + y - 3 = 0 \\ \\ y(y - 3) + 1(y - 3) = 0 \\ \\ (y - 3)(y + 1) = 0 \\ \\ y - 3 = 0 \: \: or \: \: y + 1 = 0 \\ \\ y = 3, \: \: y = - 1 [/tex]

Given:

A fair 6 sided die is rolled and then a second fair die is rolled.

To find:

The probability that you roll 1, 2, or 3 on the first die and roll 5 on second.

Solution:

If two fair die are rolled, then the total possible outcomes are

S= {(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}

So, total outcomes = 36.

Favorable outcomes of getting 1, 2, or 3 on the first die and roll 5 on second are (1,5), (2,5), (3,5).

So, favorable outcomes = 3

We know that

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{3}{36}[/tex]

[tex]\text{Probability}=\dfrac{1}{12}[/tex]

Therefore, the required probability is [tex]\dfrac{1}{12}[/tex].

Answer:

2,375 m

Step-by-step explanation:

The computation of the distance from his walk to the bus stop is given below:

Let us assume he walks be x

So the bus trip be 4x

4x + 500m

From Home to school, it would be 10km

As we know

1km = 1000m

So for 10km it would be  = 10,000 m

4x + 500 m = 10,000 m

4x = 10,000 m - 500 m

4x = 9,500 m

x = 2,375 m

Answer:

7

Step-by-step explanation:

i have checked, i have spoken

Answer:

4

Step-by-step explanation:

Replace X with 4

(5*4)-(2*4) = 12

Answer:

x =4

Step-by-step explanation:

5x - 2x =12 (Subtract 5x - 2x and you'll get 3x)

3x = 12 (Now divide by 3 from both sides to get x)

x = 12/3 (Now that you got x, you want to simplify)

x = 4 (12 divided by 3 is 4)

Answer:

y=-3

Step-by-step explanation:

Answer:

m+4

Step-by-step explanation:

She currently has a variable "m" in her pocket which we don't know, BUT we know how much she is getting, which is 4.

Answer:

16

Step-by-step explanation:

because it is

Answer: 16

Step-by-step explanation: Here's a little tip for you. Any number can be converted to a fraction if you use 1 as the denominator:

64/1

So now that we've converted 64 into a fraction, to work out the answer, we put the fraction 1/4 side by side with our new fraction, 64/1 so that we can multiply those two fractions.

That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:

1x64/4x1 = 64/4

In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers:

The GCF of 64 and 4 is 4.  

We can now divide both the new numerator and the denominator by 4 to simplify this fraction down to its lowest terms:  

64/4 = 16  

4/4 = 1

When we put that together, we can see that our complete answer is:

16/1

The complete and simplified answer to the question what is 1/4 of 64 is:

16

Hopefully, this tutorial has helped you to understand how to find the fraction of any whole number. You can now go give it a go with more numbers to practice your newfound fraction skills.

This Is My Most Complex Answer Yet, If I Helped, Please Mark Me As Brainliest, Have A Great Day :D

Answer:

(- 1, - 2 ) and (1, 2 )

Step-by-step explanation:

Given the 2 equations

x² + y² = 5 → (1)

y = 2x → (2)

Substitute y = 2x into (1)

x² + (2x)² = 5

x² + 4x² = 5

5x² = 5 ( divide both sides by 5 )

x² = 1 ( take the square root of both sides )

x = ± [tex]\sqrt{1}[/tex] = ± 1

Substitute these values into (2) for corresponding values of y

x = - 1 : y = 2(- 1) = - 2 ⇒ (- 1, - 2 )

x = 1 : y = 2(1) = 2 ⇒ (1, 2 )

The solution with smaller x- value is (- 1, - 2 )

The solution with the larger x value is (1, 2 )

Answer:

See Explanation

Step-by-step explanation:

Given

[tex]D = s.t[/tex]

Required

Which represents 400km

This question requires options. Since none were given, I will answer on a general term.

Situation 1:

s = 20km/h and t = 20h

[tex]D = s.t[/tex]

[tex]D = 20km/h * 20h[/tex]

[tex]D = 400km[/tex]

Situation 2:

s = 10km/h and t = 40h

[tex]D = s.t[/tex]

[tex]D = 10km/h * 40h[/tex]

[tex]D = 400km[/tex]

Situation 3:

s = 40km/h and t = 10h

[tex]D = s.t[/tex]

[tex]D = 40km/h * 10h[/tex]

[tex]D = 400km[/tex]

So, all you literally have to do is multiply the values of s and t. If the product gives 400, then; that situation is D = 400

Step-by-step explanation:

Gladys blister is luggage

Answer:

the third expression

Step-by-step explanation:

x=10.8

(x2 / 18) + 33.52

10.8 x 10.8=116.64

116.64 divide by 18=6.48

6.48 + 33.52=40

Answer:

The length of the hypotenuse = 14 square + 10 square

The length of the hypotenuse =14×14 + 10×10

=296ft

Answer:

y = x-4

Step-by-step explanation:

First find the slope

m = ( y2-y1)/(x2-x1)

   = ( -3 -1)/( 1 - 5)

   = -4/-4

   = 1

Then using slope intercept form

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

y = 1x+b

Substitute one of the points in

1 = 5 +b

1-5 = b

-4 =b

y = x-4

Answer:

The bench costs $425

And the Table costs $510

Step-by-step explanation:

table + bench = $ 935

$85 + 2b = $935

$935 - $ 85 = $ 850

$850/ 2 = 425 = b

Answer:

60, 72, 86.4, 103.68, 124.42

Step-by-step explanation:

How do I add 20% to a number?

Divide the original number by 100 to get 1% of it.

Multiply 1% by your desired percentage, in this case 20.

Add the product of the previous step to your original number.

Congratulate yourself on adding 20% to your number!

Answer:

Step-by-step explanation:

Given sequence:

The rule is adding 20%

Adding 20% is converted to common ratio:

The sequence is the GP with common ratio of 1.2:

Answer:

$21.40

Step-by-step explanation:

7% is equal to .07

multiply .07 times 20

=1.40

add the $1.40 sales tax to the meal price to get 21.40

Answer:

after it has been enlarged 3 times

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

it will take him 5 months

Find how much more he wants to bench:

300-200 = 100

He needs to increase by at least 100 pounds.

So 20 pounds per month has to be greater than 100 pounds.

20x > 100

Divide both sides by 20:

X > 5 months