Lexi ran 2/4 of a mile in 1/10 of an hour. At this rate, in how long does she run one mile?

Answer:

[tex]12s-120[/tex]

Step-by-step explanation:

Given the following question:

[tex]12(s-10)[/tex]

To rewrite the expression using the distributive property we have to remember the rule that applies to all expressions, we have to multiply all the terms inside the paratheses by the terms outside of the paratheses.

[tex]12(s-10)[/tex]
[tex]12\timess=12s[/tex]
[tex]12s-10\times12[/tex]
[tex]10\times12=120[/tex]
[tex]12s-120[/tex]

Your answer is "12s - 120."

Hope this helps.

Answer

Step-by-step explanation:

This is exponential growth, so we would use the following equation

y=a(b)^x

500(1.005)^15

1. Initial amount is $500, since that's what we started with.

2. Add the following percentage by 100%

100%+0.5%= 1.005

3. We need to find the account balance after 15 months so raise it to the 15th power.

y= 500(1.005)^15

The balance after 15 months will be $538.84.

bye~~

Answer: See below for totals:

Step-by-step explanation:

P(blue and red) = [tex]\frac{4}{16} *\frac{5}{16} = \frac{20}{256} =\frac{5}{64}[/tex]

P(yellow and green) = [tex]\frac{1}{16} *\frac{6}{16} =\frac{6}{256} = \frac{3}{128}[/tex]

P(blue or yellow, green) = [tex]\frac{5}{16} *\frac{6}{16} = \frac{30}{256} =\frac{15}{128}[/tex]

P(green and blue and red) =​[tex]\frac{6}{16} *\frac{4}{16} *\frac{5}{16} =\frac{120}{4096} =\frac{15}{512}[/tex]

Hope this helps!

Answer:Adult tickets sold is the variable a.Child tickets sold is the variable c.a + c = 1756.40a + 1.35c = 564.50The first equation can be rewritten asc = 175 - aReplace c in the second equation with what it is equal to6.40a + 1.35(175 - a) = 564.50Apply the distributive property6.40a + 236.25 - 1.35a = 564.50Combine like terms5.05a + 236.25 = 564.55.05a = 328.25a = 65c = 175 -65c = 110The sold 65 adult tickets and 110 child tickets

Step-by-step explanation:

Answer:

First, let's set up the equation

· We know the least total he's got in one month is $124.92

· In that one month, he was charged an additional $30 dollar fee.

· During the time he uses his phone, he is charged $0.07 per unknown minutes (which we can consider 'm').

It would look like this;

30 + 0.07m = 124.92

where $30 is the additional fee

$0.07 is the money he is charged per unknown minutes otherwise known as 'm'

$124.92 is the total of that whole month (which has been the least amount of money he used)

So now we solve for m:

30 + 0.07m = 124.92

-30                   -30(get rid of any constants first by performing the inverse operation of addition, subtraction)

0.07m = 94.92

/0.07     /0.07 (isolate 'm' by applying the inverse operation of multiplication, division)

m = 1,356 minutes

Answer:

x² + 3x - 989 = 0 (where x is the number of miles traveled on Monday)

Step-by-step explanation:

Let x = number of miles traveled on Monday

Let y = number of miles traveled on Tuesday

Let z = number of miles traveled on Wednesday

Given:

⇒ y = 2x - 5

Given:

⇒ z = x² + 40

Given:

⇒ x + y + z = 1024

Substitute  y = 2x - 5  and  z = x² + 40  into x + y + z = 1024:

⇒ x + 2x - 5 + x² + 40 = 1024

⇒ x² + 3x + 35 = 1024

⇒ x² + 3x - 989 = 0 (where x is the number of miles traveled on Monday)

Answer:

8/12 and 4/12

Step-by-step explanation:

simplified to 2/6 and 1/6

Answer:

y = 1/3 x + 8.

or in standard form:

x - 3y = -24.

Step-by-step explanation:

To answer this we use the point-slope form of the equation of a line:

y - y1 = m(x - x1)

Here we have m = 1/3 and (x1, y1) = (-3, 7), so:

y - 7 = 1/3(x - (-3))

y - 7 = 1/3( x + 3)

y - 7 = 1/3 x + 1

y = 1/3 x + 8 .

This is the slope-intercept form of the equation.

Converting to standard form, we first multiply by 3:-

3y = x + 24

- x + 3y = 24

x - 3y = -24.

Find lengths by reasoning shortcut

Its a rectangle

Perimeter:-

2(JK+JM)=2(5+3)=2(8)=16units

Answer:

Perimeter = distance around a two-dimensional shape

⇒ Perimeter of a rectangle = (2 × width) + (2 × length)

From inspection of the diagram:

⇒ Perimeter of the rectangle = (2 × 3) + (2 × 5)

                                                 = 6 + 10

                                                 = 16 units

Answer:

$650+$150x

Step-by-step explanation:

Base number and 150 is added per month.

Answer:

x = 30°

Step-by-step explanation:

2sinx - 1 = 0

2sinx = 1

sinx = 1/2

x = 30°

Answer:

x = nπ + ( -1 )π π/6, where n is the integer

Step-by-step explanation:

Answer:

170 yards

Step-by-step explanation:

First off we know that Rebecca ran 60 yards at first. Then she ran another distance of 80 yards. She then ran diagonally across to get back. If she ran diagonally back that means would have run 30 yards back which is half of the first distance she ran.
(representation of how she ran)

1st: Up along the width |

2nd: sideways along the length ----

3rd: diagonally back to the starting point /

This would form a triangle. The first distance he ran would be halved to show the amount that Rebecca ran diagonally, we will represent this with x.

Equation representation:
60 + 80 = 140 yards

x = 60 divided by 2
x = 30 yards

60 + 80 + 30 = 170 yards




Have a great rest of your day
#TheWizzer

Answer:

3 = f

Step-by-step explanation:

3(6 - f) - 4 = 3f - 4

Distribute within Parenthesis

18 - 3f - 4 = 3f - 4

Combine like terms

14 - 3f = 3f - 4

Add 3f on both sides of the equation

14 = 6f - 4

Add 4 on both sides of the equation

18 = 6f

Divide by 6 on both sides of the equaiton to get your answer of

3 = f

Hope this helps :)

Answer: First option

Step-by-step explanation:

Answer:

not possible

Step-by-step explanation:

the two congruent sides do not include the angle in between them, which makes the rule that makes them congruent SSA, which is a rule that doesn’t not exist. Ur welcome :)

Answer:

10 hours

Step-by-step explanation:

A car is from the previous model year, there is a 10% chance that it is a coupe. Then the correct option is A.

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen. It is the ratio of the favorable event to the total number of events.

A car dealer organizes the inventory of a specific model of a car into a frequency table comparing the type of car and the model year.

The dealer used the data from the frequency table to create this conditional relative frequency table by column.

A car is from the previous model year, there is a 10% chance that it is a coupe.

More about the probability link is given below.

https://brainly.com/question/795909

Answer:

A.) Given that a car is a coupe, there is a 10% chance it is from the previous model year.

Step-by-step explanation:

The person above me is correcttt~

edge2022

good luck! :)

~nxmbus

Answer:

C

Step-by-step explanation:

it’s the only one that is a line

Answer:

c because the line is straight

Step-by-step explanation:

in order for a line on a graph to be linear it must have the same rise over run so the line would have to be strait

The probability  of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%

we know that the formula for probability is given by

[tex]Z=\dfrac{X-\mu }{\sigma}[/tex]

where,

Z = Z score,

X = raw score,

μ = mean,

σ = standard deviation,

The probability  of the students to be selected randomly between 350 and 550 will be given as

[tex]=P(350 < X < 550)[/tex]

[tex]=P(350-500 < X-500 < 550-500)[/tex]

[tex]=P(\dfrac{350-500}{110} < \dfrac{X-500}{110} < \dfrac{550-500}{110}[/tex]

[tex]=P(-1.36 < Z < 0.45)[/tex]

[tex]=P(Z-1.36)-P(Z-0.45)[/tex]

[tex]=(0.9131-0.6736)[/tex]

[tex]=0.2395[/tex]

Thus the probability of the students to be randomly selected between 350 and 550 will be 0.2395 or 24%

To learn more about probability follow

https://brainly.com/question/24756209

Answer:

9

Step-by-step explanation:

h(x)=| 2x+7|

h(-8)= |2(-8)+7|

= |-16+7|

=|-9|

=9

Answer:

B.) 5%

Step-by-step explanation:

You'll need to multiply 0.05 by 100. Since 100 = 1, we are only multiplying by 1 and not changing the value of our number.

0.05 × 100 = 5

5/100 is 5 over 100 and means 5 per 100. 5 "per 100" means 5 "percent" or 5%

Therefore, 0.05 = 5%

I hope this helps! ^-^

Answer:

30

Step-by-step explanation:

15 x 4 = 60, which means that Beetle has 15 bottles of water and that Ameezy has bottles.  45 - 15 = 30.

Hope this helps :)

Answer:

36 bottles.

Step-by-step explanation:

If you wrote them out, like 1 over 4, 2 over 8, and added up their totals at the bottom, you would eventually reach 60. The last column has 12 over 48, so we subtract 12 from 48, which gives us 36. So the answer is 36 bottles.

Hope this helped!

Answer:

true

Step-by-step explanation:

example: $10 for 10 chocolate

10.00÷10=1.00

Answer:

y=-2x+7

enter the point into point slope form to find the slope and then use one of the points in point slope form  and rearrange it to have y by itself

Answer:

a) [tex]a_n=3n-1[/tex]

b) [tex]a_n=2n+7[/tex]

Step-by-step explanation:

a)  From inspection, we can see that this is an arithmetic sequence as the difference between each term is the same:

14 - 11 = 3

11 - 8 = 3

8 - 5 = 3

5 - 2 = 3

(so the common difference = 3)

General equation of arithmetic sequence:  [tex]a_n=a+(n-1)d[/tex]

(where [tex]a[/tex] is the first term and [tex]d[/tex] is the common difference between terms)

Given:

[tex]\implies a_n=2+(n-1)3[/tex]

[tex]\implies a_n=2+3n-3[/tex]

[tex]\implies a_n=3n-1[/tex]

b)  From inspection, we can see that this is an arithmetic sequence as the difference between each term is the same:

17 - 15 = 2

15 - 13 = 2

13 - 11 = 2

11 - 9 = 2

(so the common difference = 2)

General equation of arithmetic sequence:  [tex]a_n=a+(n-1)d[/tex]

(where [tex]a[/tex] is the first term and [tex]d[/tex] is the common difference between terms)

Given:

[tex]\implies a_n=9+(n-1)2[/tex]

[tex]\implies a_n=9+2n-2[/tex]

[tex]\implies a_n=2n+7[/tex]

Answer:

5

Step-by-step explanation:

4^2 +3^2 = 5^2

Answer:

sqrt([4 * 4] + [3 * 3]) = 5

Step-by-step explanation:

Fill in the parameters for the Pythagorean Theorem and solve it.

Answer:

m∠QPS = 112

Step-by-step explanation:

Shape PQRS is a cyclic quadrilateral as every vertex of the quadrilateral touches the circumference of the circle.

The opposite angles in a cyclic quadrilateral add up to 180°.

⇒ m∠QPS + m∠QRS = 180°

⇒ m∠QPS + 68° = 180°

⇒ m∠QPS = 180° - 68°

⇒ m∠QPS = 112°

Answer:

Step-by-step explanation:

p = k / sqrt(q)

The first job is to find k.

p = 12

q = 36

Solution for k

12 = k / sqrt(36)

sqrt(36) = +/- 6

Multiply both sides by +/-6

12 * +/- 6 = k

k = +/- 72

Solution for q = 16

p = +/-72/ sqrt(16)

p  = +/- 72 / sqrt(16)

p = +/- 72 / +/-4

p = 18