A runner leaves his house at 7:45 for a morning run. If he travels at an average speed of 6 mph and gets back home at 10:00, how many miles did he run

Answer:

1. 0.34

2. 0.46

3. 0.75

4. 0.3 with a bar over 3

5. 0.63 with a bar over 63

6. 0.259 with a bar over 259

7. 0.1875

8. 0.35

Answer:

15/4

Step-by-step explanation:

2 1/2 x 1 1/2

First, make them both improper fractions to make them easier to multiply

5/2 x 3/2

Multiply their numerators together to get the numerator and multiply their denominators together to get the denominator.

5 x 3 = 15

2 x 2 = 4

5/2 x 3/2 = 15/4

Answer:

22%

Step-by-step explanation:

You just subtract the numbers

Answer:

64%

Step-by-step explanation:

To find a percent, you have to divide the new cost by the original cost, then multiply the answer by 100.

(32/50)*100

= 0.64 * 100

= 64%

Answer:

HI

Step-by-step explanation:

In a triangle, the length size of each side corresponds to the size of the degree of the angle opposite it.

This means, the biggest angle would be opposite the side with the longest length, while the angle with the least degree will be opposite the side that is the smallest.

In ∆HIJ, the least angle measure is <J (54°).

Side length opposite to <J is HI.

Therefore the smallest side of ∆HIJ is HI

Answer:

Given

Solving for x

Both sides are equal, any value of x is a solution, so infinitely many solutions

Step-by-step explanation:

[tex]5(2x - 3) = x - 15 + 9x \\ 10x - 15 = 10 x - 15[/tex]

Both the sides are equal

Hence no specific value of x

Therefore, x has infinite value.

w=2

Step-by-step explanation:

-w=-10+4w

10=4w+w

10=5w

10/5=w

2=w

Answer:

Total tax = $25.51

Step-by-step explanation:

Total collection = $1265.23

Tax-Free amount =  $840

so

Taxable amount = $1265.23 -  $840

                            = $425.23

Given that the taxable amount was taxed at 6%

Thus,

The total tax = 6% of 425.23

                     = 6/100 × 425.23

                     = 0.06 × 425.23

                      = $25.51

Therefore,

Answer:

55

Step-by-step explanation:

6.5x - 3.5 [x = 9]

6.5(9) - 3.5

58.5 - 3.5 = 55

Answer:

11:37.02 pm

Step-by-step explanation:

11:59 pm - 21:58 minutes = 11:37.02 pm

Answer:

x+16=4x-5

16+5=3x

21=3x

21/3=x

x=7

Answer:

4+4+x+3-4=12

8+x-1=12

7+x=12

x=12-7

=5

answer is 5

Answer:

x=3

y=4

Step-by-step explanation:

I'm using 3x+y=13 to find y, then plug y into the second equation.

y= -3x+13

5x-2(-3x+13)=7

find x.

5x+6x-26=7

11x=33

x=3

now plug x into 3x+y=13(you could do it with the other equation too)

3(3)+y=13

y=13-9

y=4

The value of x and y is 3, and 4 respectively by the substitution method.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have a system of equations;

3x +y=13 ...(1)

5x-2y=7​ ...(2)

By using the substitution method.

[tex]\rm 5\cdot \dfrac{13-y}{3}-2y=7[/tex]

y = 4

Plug y = 4 in equation (1)

3x + 4 = 13

x = 3

Thus, the value of x and y is 3, and 4 respectively by the substitution method.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ2

Answer:

-4,-3,-2,-1,0,1

Step-by-step explanation:

First, doublepound and simplify it.

-15<3n

3n<6

Solve:

-5<n

n<2

Compound:

-5<n<2.

So the values are -4,-3,-2,-1,0,1

Hope this helps plz hit the crown :D

Answer:

The values of 'n' such that -15 < 3n ≤ 6 will be:

[tex]-5<n\le \:2[/tex]

[tex]-5<n\le \:2[/tex] can also be represented as: -4, -3, -2, -1, 0, 1, 2

Hence, the values of integer n will be:

Thus,

[tex]-15<3n\le \:6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-5<n\le \:2\:\\ \:\mathrm{Interval\:Notation:}&\:(-5,\:2]\end{bmatrix}[/tex]

The line graph is also attached below.

Step-by-step explanation:

Given the expression

-15 < 3n ≤ 6

Lets us solve the inequality for n

[tex]-15<\:3n\le \:6[/tex]

Divide all parts by n

[tex]\:-\frac{15}{3}<\frac{3n}{3}\le \frac{6}{3}[/tex]

simplify

[tex]-5<n\le \:2[/tex]

Therefore, the values of 'n' such that -15 < 3n ≤ 6 will be:

[tex]-5<n\le \:2[/tex]

[tex]-5<n\le \:2[/tex] can also be represented as: -4, -3, -2, -1, 0, 1, 2

Hence, the values of integer n will be:

Thus,

[tex]-15<3n\le \:6\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-5<n\le \:2\:\\ \:\mathrm{Interval\:Notation:}&\:(-5,\:2]\end{bmatrix}[/tex]

The line graph is also attached below.

Answer:

A linear equation is of the form:

y = a*x + b

Where a and b are real numbers, and we only have one term with x, and no powers of x larger than 1.

Let's rearrange all the given options to see if they take this form. I will isolate x for all of them.

a) 2x + 5y = 13

5y = -2*x + 13

y = (-2/5)*x + 13/5

(this is a linear equation)

b) -x^2 = 3y + 10

 -3*y = x^2 + 10

y = (-1/3)*x^2 + 10/3

(this is not a linear equation)

c) 3(2x + y) = 14

 6x + 3y = 14

 3y = 14 - 6x

y = (-6/3)*x + 14/3

(this is a linear equation)

d) y = 13 - 2*x^2

(this is not a linear equation, we have a x^2 there)

e) 2 = y + x^5

-y = x^5 - 2

(this is not a linear equation, we have a x^5 there)

f) y = x + 7

we can rewrite this as:

y = 1*x + 7

(this is a linear equation)

Answer:

i just wanted to say, that I took the test and A and F are correct, but C (the person above me says C is correct) is not correct

Step-by-step explanation:

The platonic solids in the given options are A. Regular pentagons and E. Equilateral triangles.

The solids that are polyhedrons, all of whose faces are congruent regular polygons and at every vertex, the same number of faces meets are called "Platonic solids"

There are only five types of platonic solids. They are:

The major types of faces that are found on platonic solids are:

Regular polygons with more than 6 sides are not the faces of the platonic solid.

Thus, from the given shapes,

A. regular pentagons, E. equilateral triangles are used as faces of a Platonic solid.

Learn more about Platonic solids here:

https://brainly.com/question/857410

#SPJ1

Answer:

I believe the answer would be

Step-by-step explanation:

a graph that goes up and then is a straight line then it goes down.

In other words the graph would be A.

Answer:

x=27 km

Step-by-step explanation:

Make an equation 2/.015=3600/x

Multiply 3600 by .015 to get 54

Divide 54 by 2 to get 27.

9514 1404 393

Answer:

  27 km/h

Step-by-step explanation:

(15 m)/(2 s) = (15 m)/(2 s)×(1 km)/(1000 m)×(3600 s)/(1 h)

  = (15×1×3600)/(2×1000×1) km/h = 15×1.8 km/h = 27 km/h

Step-by-step explanation:

12x-3y+z＝-7 ‖-12x+3y

z＝-7-12x+3y

so you can replace z with (-7-12x+3y)

4y+3*(-7-12x+3y)＝-7

4y+(-21-36x+9y)＝-7

13y-21-36x＝-7 ‖+21

13y-36x＝14 ‖-13y

-36x＝14-13y ‖*(-1)

36x＝-14+13y ‖/3

12x＝-14/3+13/3y

so-6x＝+14/6-13/6y

(+14/6-13/6y)+2y-2*(-7-(-14/3+13/3y)+3y)＝12

(+14/6-13/6y)+2y+14-28/3+26/3y-6y＝12

(+14/6-13/6y)+2y+14-56/6+52/6y-6y＝12

7+2.5y＝12 ‖-7

2.5y＝5 ‖/2.5

y＝2

so

4y+3z＝-7

4*2+3z＝-7

8+3z＝-7 ‖-8

3z＝-15 ‖/3

z＝-5

12x-3*2+(-5)＝-7

12x-6-5＝-7

12x-11＝-7 ‖+11

12x＝4 ‖/12

x＝1/3

Answer:

74

Step-by-step explanation:

its easy so you add 23 and 51 and you got the answer.

Answer:

B, C, A

Step-by-step explanation:

A = |7| = 7

B = -6

C = |-5| = 5

Order: B, C, A

Answer:

(x-4)(5x³+18x²+54x+215)+860

Step-by-step explanation:

This follows that when the fourth degree polynomial is divided by the monomial(x-4),it gives a third degree polynomial and some remainder r

That is:

5x⁴-2x³-18x²-x/x-4=(ax³+bx²+cx+d)+r

if so,then

5x⁴-2x³-18x²-x=(x-4)(ax³+bx²+cx+d)+r

5x⁴-2x³-18x²-x=ax⁴+bx³+cx²+dx-4ax³-4bx²-4cx-4d+r

5x⁴-2x³-18x²-x=ax⁴+x³(b-4a)+x²(c-4b)+x(d-4c)-4d+r

We can now equate the similar terms thus,the terms with the same power of x on both sides

5x⁴=ax⁴,a=5

Again,

b-4a=-2,but a=5

b-4(5)=-2

b-20=-2

b=18

Again,

c-4b=-18(but b=18)

c-4(18)=-18

c-72=-18

c=54

Again,

d-4c=-1(but c=54)

d-4(54)=-1

d-216=-1

d=215

Finally,

-4d+r=0(but d=215)

-4(215)+r=0

r-860=0

r=860

This means that when 5x⁴-2x³-18x²-x is divided by x-4,it gives5x³+18x²+54x+215 with a remainder of 860

Now rewriting it in the form as required by the question=(x-4)(5x³+18x²+54x+215)+860

Answer:

E

Step-by-step explanation:

We are given:

[tex]\ln(xy)=x-y[/tex]

And we want to find the second derivative at the point (1, 1).

So, we will take the derivative of both sides with respect to x:

[tex]\displaystyle \frac{d}{dx}\big[\ln(xy)\big]=\frac{d}{dx}\big[x-y\big][/tex]

Implicitly differentiate. The left will require the chain rule. Hence:

[tex]\displaystyle \frac{1}{xy}\cdot \frac{d}{dx}\big[xy\big]=1-\frac{dy}{dx}[/tex]

Differentiate:

[tex]\displaystyle \frac{1}{xy}\cdot \big( y+x \frac{dy}{dx} \big) =1-\frac{dy}{dx}[/tex]

Distribute:

[tex]\displaystyle \frac{1}{x}+\frac{1}{y}\frac{dy}{dx}=1-\frac{dy}{dx}[/tex]

Isolate the derivative term:

[tex]\displaystyle \frac{dy}{dx}\big(\frac{1}{y}+1\big)=1-\frac{1}{x}[/tex]

Divide:

[tex]\displaystyle \frac{dy}{dx}=\frac{1-\frac{1}{x}}{\frac{1}{y}+1}}[/tex]

Simplify. We can multiply both layers by xy. Hence:

[tex]\displaystyle\begin{aligned} \frac{dy}{dx}&=\frac{1-\frac{1}{x}}{\frac{1}{y}+1}}\cdot\frac{xy}{xy} \\ &=\frac{xy-y}{x+xy} \end{aligned}[/tex]

We can factor. Hence, our derivative is:

[tex]\displaystyle \frac{dy}{dx}=\frac{y(x-1)}{x(y+1)}[/tex]

Differentiate once more to find the second derivative:

[tex]\displaystyle \frac{d^2y}{dx^2}=\frac{d}{dx}\Big[\frac{y(x-1)}{x(y+1)}\Big][/tex]

Quotient rule:

[tex]\displaystyle \frac{d^2y}{dx^2}=\frac{\frac{d}{dx}[y(x-1)](x(y+1))-y(x-1)\frac{d}{dx}[x(y+1)]}{(x(y+1))^2}[/tex]

Differentiate using the product rule:

[tex]\displaystyle \frac{d^2y}{dx^2}=\frac{ \big[\frac{dy}{dx}(x-1)+y\big](x(y+1))-y(x-1)\big[(y+1)+x\frac{dy}{dx}\big] }{(x(y+1))^2 }[/tex]

You may choose to simplify, but this is not necessary, as we are only interested in the second derivative at (1, 1).

First, since first derivatives exist in our second derivative, we will find them first. Recall that the first derivative is given by:

[tex]\displaystyle \frac{dy}{dx}=\frac{y(x-1)}{x(y+1)}[/tex]

Therefore, at (1, 1), the first derivative is:

[tex]\displaystyle \frac{dy}{dx}_{(1, 1)}=\frac{1(1-1)}{1(1+1)}=\frac{1(0)}{1(2)}=0[/tex]

So, we will substitute 0 for every dy/dx for our second derivative. Thus:

[tex]\displaystyle \frac{d^2y}{dx^2}=\frac{ \big[(0)(x-1)+y\big](x(y+1))-y(x-1)\big[(y+1)+x(0)\big] }{(x(y+1))^2 }[/tex]

Simplify:

[tex]\displaystyle \frac{d^2y}{dx^2}=\frac{ y(x(y+1))-y(x-1)\big[(y+1)\big] }{(x(y+1))^2 }[/tex]

So, at the point (1, 1), our second derivative is:

[tex]\displaystyle \frac{d^2y}{dx^2}_{(1, 1)}=\frac{1(1(1+1))-1(1-1)(1+1)}{(1(1+1))^2}=\frac{2-0}{4}=\frac{1}{2}[/tex]

Hence, our final answer is E.

Answer:

48

Step-by-step explanation:

because 20% of 240 is 48.

Answer:

I'd assume inches, hope this helps!

Answer:

180

Step-by-step explanation:

Answer:

0,3 hddjbdhfjdndjdkdbdjdnd

Answer:

C. (4, -8)

Step-by-step explanation:

To reflect a point over a straight horizontal line, start from the original point and count how many units it takes to reach that line (going vertically). Keep that number in mind. Then, at that same point on the line, go vertically again and count that many units going away from the line. The point where you stop would be the reflected point.

In this case, starting from (4, 8) and then going down towards the x-axis would take 8 units. Taking that number and counting another 8 units down would land you at (4, -8). Therefore, (4, -8) is the answer.

Please look at the attached image for a clear visual explanation.

Answer:

I think option B is correct

Answer:

18

Step-by-step explanation:

[tex]2 {a}^{2} = 2 {(3)}^{2} = 2 \times 9 = 18 \\ [/tex]

Answer:

36

Step-by-step explanation:

2 times 3=6 6^2 is 6 times 6