Mindy is training to run a marathon. She runs 4 miles each day. Write an equation that would represent the number of miles m, she runs on a given day, d.

Answers

Answer 1

You know that she runs 4 miles every day, so we can set up the equation:

[tex]\sf m=4d[/tex]

For any given day you just plug that number in for 'd' and it will give you the total number of miles.

Related Questions

If male and female college students work an average of 15 hours per week during the school year and the standard deviation is 5.4 for male students and 2.3 for female students, what may we conclude?

Answers

The variance of hours males spend working is almost two times as large as females. 60% of those females are more likely to work between 12.7 to 17.3 hours while 60% of the males work between 9.6 to 20.3 hours based on one standard deviation.

Answer: the male sample is more spread than the female sample

Step-by-step explanation:

The mean is the same for both genres, but the standard deviation form males is bigger than the one for females.

This means that the data of the male students is more spread than the female data (so there are more male students that study more hours, but there also are more male students that study less hours).

So the general conclusion is that the male sample is more spread than the female sample

Which of the following are the coordinates of the vertex of y=-x^2+2x+1

Answers

y=-x²+2x+1
way 1:
common equation of parabola is y=ax²+bx+c.
rule: x₀=-b/(2a), y₀=-D/(4a), where x₀ and y₀ are coordinates of the vertex.
According to the described rule above x₀=(-2)/(-2)=1, y₀=8/4=2.
The vertex is (1;2).
way 2:
re-write the given equation into the form y=(x+m)²+n.
y=-(x-1)²+2.
Rule: point (-m;n) is vertex of the parabola.
According to the described rule the vertex is (1;2).

Which statements are true?

Choose all answers that are correct.

A.

All quadrilaterals can be classified as either parallelograms or trapezoids.

B.

All rhombuses are parallelograms.

C.

Some trapezoids are parallelograms.

D.

Some parallelograms are squares.

Answers

Answer:

Step-by-step explanation:

B, C and D

Can anyone please help me I will give you 13 points and make your answer the brainliest.Please help.

Answers

The true statements are ...

2. All squares are rectangles.

3. Not all parallelograms are rectangles.

_____

The attached diagram shows the relationships between various quadrilataral types. The line connecting a lower box to a higher box means "all of the lower box is a higher box." For example, all square are rectangles, and all rectangles are parallelograms.

However, it is typical for a higher box to have several different lower boxes. That is "a higher box may be any of the list of lower boxes or none of them" For example, a parallelogram may be a rhombus or a rectangle or neither.

The ice rink sold 95 tickets for the afternoon skating session, for a total of $828. General admission tickets cost $10 each and youth tickets cost $8 each. How many general admission tickets and how many youth tickets were sold?

Answers

GA=general admission=10 dollars
Youth=Y=8 dollars
GA+Y=95
GA=95-Y
10GA+8Y=828
10(95-Y)+8Y=828
950-10y+8Y=828
-2Y=-122 multiply by (-1)
2Y=122
Y=61
GA=34
There were sold 61 youth tickets and 34 general admission

Final answer:

By solving the system of linear equations formed from the scenario given, we find that the ice rink sold 34 general admission tickets and 61 youth tickets during the afternoon skating session.

Explanation:

This problem is a simple linear algebra problem. We can represent the total number of tickets with the variable x (for the general admission tickets) and y (for the youth tickets). The scenario provides us with two equations:

The total number of tickets sold is 95, so x + y = 95.The total amount of money collected is $828, so 10x + 8y = 828.

To solve the system of equations, we can multiply the first equation by 8 to have both equations involving '8y', which gives us 8x + 8y = 760.

Subtracting the first modified equation from the second gives: 2x = 68. Therefore, solving for x gives us x = 34. That means, there were 34 general admission tickets sold.

Substitute x=34 into x + y = 95, we get 34 + y = 95, which simplifies to, y = 61. That means, there were 61 youth tickets sold.

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What is the diameter of a circle that has an area of 452.16 mm 2? 144 mm 12 mm 24 mm 6 mm

Answers

[tex]\bf \textit{area of a circle}\\\\ A=\pi r^2\quad \begin{cases} r=radius\\ -----\\ A=452.16 \end{cases}\implies 452.16=\pi r^2 \\\\\\ \cfrac{452.16}{\pi }=r^2\implies \sqrt{\cfrac{452.16}{\pi }}=r\implies 11.99695787\approx r[/tex]

now, that's the radius of the circle, recall that the diameter is twice the radius.

Answer:

the diameter is 24

Step-by-step explanation:

How long will it take for a sum of money, invested at 5% compounded annually, to double in value?

Answers

Using the compound interest formula, where n=number of years,
2x=x(1+0.05)^n
(1.05)^n=2
=>
n=log(2)/log(1.05)=14.21 years

Note: This problem can also be solved in the head using the rule of 72.
Since the amount is doubled at an interest rate of 5%, the time needed is 72/5=14 years, approximately.

To determine the time needed for an investment to double at a 5% compounded annual rate, apply the Rule of 72 by dividing 72 by the interest rate, resulting in approximately 14.4 years.

The question pertains to the time it takes for an investment to double in value with compound interest. To calculate this, we can use the Rule of 72. This rule states that you can approximate the number of years it'll take for an investment to double by dividing 72 by the annual interest rate. In this case, with a 5% interest rate, it would be calculated as 72 \/ 5, which equals approximately 14.4 years.

Here's a step-by-step explanation:

Apply the Rule of 72 by dividing 72 by the interest rate: 72 ÷ 5 = 14.4.

Therefore, it will take roughly 14.4 years for the sum of money to double at an annual compounded interest rate of 5%.

This is a quick and efficient way to estimate the power of compound interest and make informed investment decisions.

Ivan was given two data sets, one without an outlier and one with an outlier.

Data without an outlier: 108, 113, 105, 118, 124, 121, 109
Data with an outlier: 108, 113, 105, 118, 124, 121, 109, 61

How is the median affected by the outlier?

Answers

It make it 121 instead of 118 because there is an extra number and median is the middle of a data set so the number of numbers is important.

Answer:

Median is decreased by the outlier or Outlier made median lower.

Step-by-step explanation:

First we calculate median of the data without an outlier:

Data in Ascending or increasing order ,

105 , 108 , 109 , 113 , 118 , 121 , 124

Now there are 7 terms so

Median = [tex]\frac{7+1}{2}^{th}\:term[/tex] = 4th term = 113

Now we find median of the data with outlier:

Data in ascending or descending order,

61 , 105 , 108 , 109 , 113 , 118 , 121 , 124

here no of terms are 8.

So, Median = [tex]\frac{(\frac{8}{2})^{th}+(\frac{8}{2}+1)^{th}}{2}[/tex]

= [tex]\frac{4^{th}+5^{th}}{2}=\frac{109+113}{2}[/tex]

= 111

So, Median is decreased by the outlier or Outlier made median lower.

Find an equation for the nth term of the arithmetic sequence.

9, 11, 13, 15, ...

Answer Choices
A) an = 9 + 2(n - 1)
B) an = 9 + 2(n + 1)
C) an = 9 + 2
D) an = 9 + 2(n)

Answers

The first term is 9. The common difference is 11 -9 = 13 -11 = 2. The general term has the formula
an = a1 + d(n-1)

Substituting the values above, you have ...
A) an = 9 + 2(n - 1)

how many prime numbers are there between 0 and 25

Answers

10

hope this helps<3

A prime number is a number which is only divideable by 1 or the number itself.

The prime numbers between 0 and 25 are:
2
3
5
7
11
13
17
19
23.
This are 9 numbers, so the answer is 9.

what is the least common denominator of the rational expressions below?
6/x^2+7x - 8/x^2+10x+21
a. x(x+7)(x+3)
b. x+7
c. x(x+7)^2(x+3)
d. x(x+3)

Answers

The first thing we need to do is factor the denominators in the rational expressions.
Notice that in the denominator of the first rational expression we have a common factor [tex]x[/tex], so we can factor x out:
[tex] x^{2} +7x=x(x+7)[/tex]
Now, the denominator of the second rational expression is a quadratic polynomial, we can factor it by finding tow numbers whose product will 21 and its sum will be 10. Those numbers are 7 and 3, (7x3=21 and 7+3=10):
[tex] x^{2} +10x+21=(x+7)(x+3)[/tex]

Lets rewrite our rational expression with our factored denominators:
[tex] \frac{6}{ x(x+7)} - \frac{8}{(x+7)(x+3)} [/tex]

Now, to find the least common denominator we are going to take one of the common factors (x+7) and all the non-common factors: x and (x+3):
[tex]x(x+7)(x+3)[/tex]

We can conclude that the correct answer is a. x(x+7)(x+3)

Explanation of finding the least common denominator of rational expressions.

The least common denominator of the rational expressions provided is option (d): x(x+3).

To find the LCD, first factor each denominator completely. Then, identify the unique factors and their highest powers. The LCD will be the product of these unique factors raised to their highest powers.

Express the complex number in trigonometric form. 3

Answers

The complex number 3, in trig form, would be 3 cos 0 degrees. This is a ray from the center, right, along the x-axis, for a distance of 3 units.

Answer:

Step-by-step explanation:

3(cos(0)+isin(0))

Find the new amount given the original amount and the percent amount 810 songs; 130% increase

Answers

130% of 810

Let's break this down. We need to find 100% and 30% of 810 and add those two numbers to the original number of 810.

STEP 1:
Find 100% of 810
=100% * 810
=1.00 * 810
=810

STEP 2:
Find 30% of 810
=30% * 810
=0.30 * 810
=243

STEP 3:
Add to Original #:
Original # + (100% # + 30% #)
=810 + (810 + 243)
=810 + 1053
=1863

130% of 810 is 1863.

Hope this helps! :)

Find a ⋅ b. a = 4i - 4j, b = 4i + 5j

Answers

a=<4,-4>
b=<4,5>

a.b =4*4-4*5=16-20=-4

For this case we have the following vectors:

[tex]a = 4i - 4j\\b = 4i + 5j[/tex]

We must find the product point of both vectors.

To do this, we multiply component by component and add the results.

We have then:

[tex]a.b = (4) (4) + (-4) (5)\\a.b = 16 -20\\a.b = -4[/tex]

Answer:

The point product of both vectors is given by:

[tex]a.b = -4[/tex]

Solve the equation x2 = 10.

Answers

Answer:

[tex]\large\boxed{x=-\sqrt{10}\ or\ x=\sqrt{10}}[/tex]

Step-by-step explanation:

[tex]x^2=10\iff x=\pm\sqrt{10}[/tex]

The solution of the equation is x = ±3. 162.

What is equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.

An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables.

Given:

x² = 10

Now to solve the above equation we have to take the square root on both side, we get

√x² = √10

x= ±√10

x= ±3. 162 ( because root provides two values one is positive and other is negative)

Hence, the value of x is ±3. 162.

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What is the equation of the line that contains the points (3, –6) and (–3, 0)?
A.
y = x – 3
B.
y = –x – 3
C.
y = –x + 3
D.
y = x + 3

Answers

Consider this option:
Common equation for the line is 'y=kx+b', where k&b - numbers, x&y - coordinates.
1) using the points it's possible to make up the system of equations:
[tex] \left \{ {{-6=3k+b} \atop {0=-3k+b}} \right. \ =\ \textgreater \ \ \left \{ {{3k+b=-6} \atop {-3k+b=0}} \right. [/tex]
b=-3 and k=-1
2) y=-x-3
Answer: B.

To determine the equation of a line given two points, calculate the slope and then use one point to write the equation in slope-intercept form. The equation of the line through (3, -6) and (-3, 0) is B. y = -x - 3.

To find the equation of the line that contains the points (3,
-6) and (
-3, 0), we need to calculate the slope (m) of the line using the slope formula:

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

Plugging in the given points:

m = (0 - (-6)) / (-3 - 3)

m = 6 / -6

m = -1.

With the slope now known, we can use one of the points and the slope to write the equation of the line in point-slope form (y - y1) = m(x - x1) and then convert it to slope-intercept form (y = mx + b). Let's use the point (-3, 0):

y - 0 = -1(x + 3)

y = -1x - 3.

Therefore, the correct equation of the line is B. y =
-x - 3.

A repairman charged $93.06. the price included 2 hours of labor and a $40 serive charge how much does the repaiman charge per hour for labor?

Answers

93.06 - 40 = 53.06
53.06 / 2 = 26.53 per hour

93.06 - 40 = 53.06

53.06/2 = 26.53

The answer should be $26.53 per hour of labor

A company has determined that the number of items it sells varies inversely as the price of the item. If 20,000 items can be sold if the price is $9.50, how many items can be sold of the price is $8.75? Round your answer to the nearest whole number.

Answers

Let N be the number of items sold and p the price.
Since the variation is inverse, then the relation between N and p is:
[tex]N=k\dfrac{1}{p}[/tex]
For N=20000 and p = $9.5, we get the formula:
[tex]20000=k\dfrac{1}{9.5}\\p=20000\times9.5=190000[/tex]
If p = 8.75, then the number of items sold can be computed using the formula:
[tex]N= 190000\dfrac{1}{8.75}=21714 \text{ total items}[/tex]

Crystal charges a flat fee of $10 plus an additional $5 per hour to babysit given the situation what is the range

Answers

Answer:

perhaps $10 to $10,810

Step-by-step explanation:

We assume Crystal may be willing to babysit for a period of up to 3 months (90 days), so 90×24 = 2160 hours. Her hourly fee for that period will be ...

... (2160 hours) × ($5/hour) = $10,800

That amount added her $10 initial charge may represent the upper limit of her pay. The lower limit will be the $10 initial charge.

_____

Comment on the question

Since no upper limit on hours is given, we conclude the problem is not well-specified.

We can make a variety of different assumptions regarding the upper limit of babysitting time.

We might choose to consider this a daily charge, so the upper limit is $130 per day. We might consider that Crystal is willing to babysit while the child's parents are on a 2-week vacation. We might consider that Crystal is willing to babysit for the duration of her summer vacation from school (about 3 months). This is the assumption we use here.

What are the zeros of the polynomial function f(x) = x3 – 4x2 – 12x

Answers

fx=x3−4x2−12x.‌fx/x‌=‌x3−4x2−12x/x‌

f=x2−4x−12

x³ - 4x² - 12x
x(x² - 4x - 12)
x(x - 6)(x + 2)
x = 0
x = 6
x = -2
The zeros are 0, 6, and -2

Could you please help me out ?

Answers

1. The sum of the interior angles of a triangle is 180º, so we have:

m∠K= 180º-58º-38º
m∠K= 84º

2. If we draw a perpendicular segment from "K" to "k", we will obtain two right triangles and we can find the value of "k".

3. Let's find the heigh ot these two triangles (The perpendicular segment from "K" to "k", which we will call "y"):

Sen(α)=Opposite leg/Hypotenuse
Sen(58º)=y/2.3
y=2.3xSen(58º)
y=1.95 units

4. Now we must find the adjacent leg of the triangle on the left:

Cos(α)=Adjacent leg/Hypotenuse
Cos(58º)=Adjacent leg/2.3
Adjacent leg=1.21 units

5. Let's find the adjacent leg of the other triangle:

Tan(38º)=Opposite leg/Adjacent leg
Adjacent leg=2.49 units

6. The lenght of "k" is:

k=2.49 units+1.21 units
k=3.7 units

7. The length KL is:

Cos(38º)=Adjacent leg/Hypotenuse
Cos(38º)=2.49/KL
KL=2.49/Cos(38º)
KL=3.15 units
KL≈3.2 units

Find the probability when a couple has 6 children at at least one of them is a boy

Answers

Try this solution:
1. Probability (P): 1-[probability_all_the_girls]
2. P=1- 1/2⁶=1- 1/64=63/64≈0.984375.

Note: P_all_the_g=[needed_cases]/[all_possible_cases], where needed cases=1 (all the girls means 'gggggg'), and all possible cases=2⁶=64 (all possible cases means 'gggggg';'bbbbbb';gbbbbb';'ggbbbb';'gggbbb';'ggggbb';gggggb';'bggggg', etc. Total 64 combinations.)

The probability when a couple has 6 children at at least one of them is a boy is 63/64

First step

Probability of all 6 girls=(1/2)^6

Probability of all 6 girls = 1/64

Second step is to determine the probability at least one of them is a boy

Let at least one boy means not all girls

Hence:

P(all girls)+P(not all girls)=1

P(at least 1 boy)=1-P(all girls)

P(at least 1 boy)=1-1/64

P(at least 1 boy)=63/64

Inconclusion The probability when a couple has 6 children at at least one of them is a boy is 63/64

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Kat has 19 coins, all quarters and dimes, that are worth a total of $4. The system of equations that can be used to find the number of quarters, q, and the number of dimes, d, she has is shown.

q + d = 19
0.25q + 0.1d = 4
How many quarters does she have?

4
5
14
15

Answers

the answer will be 14

Final answer:

To find the number of quarters, solve the system of equations. Kat has 14 quarters.

Explanation:

To find the number of quarters Kat has, we can solve the system of equations given. The first equation states that the number of quarters (q) and the number of dimes (d) add up to 19.

The second equation represents the total value of the coins, where each quarter is worth $0.25 and each dime is worth $0.10.

By solving this system of equations, we can determine the value of q, which represents the number of quarters.

Using the first equation, we can solve for d by subtracting q from both sides: d = 19 - q.

Substituting this value of d into the second equation, we get: 0.25q + 0.1(19 - q) = 4.

Solving this equation, we find q = 14. Therefore, Kat has 14 quarters.

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Divide 3x^2 -2x^2 -61x -20 by x -5

Answers

Synthetic division shows the quotient to be
.. (3x^3 -2x^2 -61x -20)/(x -5) = 3x^2 +13x +4

the number 0.4 can be written as 4/10 so it is a rational number

Answers

this is correct because 4/10 is .4

Answer: yes it's correct

Step-by-step explanation: yes it's correct

A line and a plane are considered parallel if they have no points in common. True or False?

Answers

True Bc they both have two lines that are point in the same direction

Annie's cafe borrows $6100 at 6% for 290 days. Find the total amount that must be repaid after 290 days. (Use a 365 day year.)

Answers

If its 6% interest, then the answer would be $6,466. You would do this by multiplying 0.06 to 6100 and adding the product (366) to 6100.

General Idea:

The formula to find the Amount 'A' that need to be paid after ' t ' years for a Principal ' P ' with a annual rate of interest ' r ' is given below:

[tex] A= P(1+r \cdot t) [/tex]

Applying the concept:

Annie's cafe borrows $6100 at 6% for 290 days.

From the above statement we can conclude,...

[tex] P= \$6100\\ \\ r=6\%\\ \\ t=\frac{260}{365} [/tex]

Substituting the values of P, r and t in the formula, we get...

[tex] A=6100 \cdot (1+6 \% \cdot \frac{260}{365} )\\ \\ A=6100(1+\frac{6}{100} \cdot \frac{260}{365} )=6100(1+\frac{1560}{36500} ) \approx 6361 [/tex]

Conclusion:

The total amount that must be repaid after 290 days is approximately [tex] \$6361 [/tex]

what is the measure of C?

Answers

60 degrees
If its an equilateral all angles are equal

I think the answer is 60

The can of wood stain is twice as wide but half as tall as the can of paint. What is true about the areas of their labels?

Answers

In this case the areas would be exactly the same. To prove this, think of a can of stain as 4 inches wide by 6 inches tall/long. If the can of paint is 8 inches wide and 3 inches tall/ long, both areas would be 24 inches squared. By cutting one dimension in half and doubling the other dimension, you do not change the overall area.

Answer:

Astain = Apaint

..........................................................................................................

Step-by-step explanation:

A box contains 3 cherry frozen treats and 2 grape frozen treats. Maggie takes a treat from the box without looking, gives it to her brother, and then selects another treat. What is the probability that her brother gets a grape treat and she gets a cherry treat?

Answers

Answer:

6/20 = 3/10

Step-by-step explanation:

Her brother gets the first treat. There are 2 grape treats out of 3+2 = 5 total; this is a probability of 2/5.

Maggie gets the second treat. There will still be 3 cherry treats left, but only 5-1 = 4 treats remaining; this is a probability of 3/4.

Together this gives us 2/5(3/4) = (2*3)/(5*4) = 6/20 = 3/10

Answer:

3/10 or 6/20

Step-by-step explanation:

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