Lorenz needs to run 13 1/2 miles this week to meet his goal for his training plan. So far this week he has run 3 1/2 miles on Monday and 4 1/4 Tuesday. How many moremiles does he needs to run this week in order to meet his goal

Answers

Answer 1

Answer:

The Answer is 5 (3/4) more miles.

Step-by-step explanation:

For this we just need to add and subtract fractions.

We we want  to get to 13 (1/2) miles...however we have already ran

3 (1/2) + 4 (1/4) ... this is the same as 3.5 plus 4.25. When we add those up we get...

3.5+4.25 = 7.75 then we subtract ... 13.5 - 7.75 = 5.75 = 5 (3/4) our answer.

Answer 2

Final answer:

Lorenz needs to run 5 3/4 more miles to meet his goal for his training plan this week.

Explanation:

To find out how many more miles Lorenz needs to run this week to meet his goal, we need to add up the miles he has already run and subtract that from his goal. Lorenz has already run 3 1/2 miles on Monday and 4 1/4 miles on Tuesday, so we can add these two amounts to get 3 1/2 + 4 1/4 = 7 3/4 miles. Next, we subtract this amount from his goal of 13 1/2 miles: 13 1/2 - 7 3/4 = 5 3/4 miles. Therefore, Lorenz needs to run 5 3/4 more miles to meet his goal for his training plan this week.


Related Questions

If the shaded of a bar representing 1/3 is divided into 6 equal parts, what is the fraction of one of these parts

Answers

Answer:

1/18 is the answer of that

The shape to the right is a rectangle.how can you use the information shown to find it's perimeter?

Answers

Answer:

Step-by-step explanation:

you have to add up all the sides to find your answer

Find the ares of a sector with the central angle of 200 and a diameter of 5.3 cm. Round to the nearest tenth

Answers

Answer:

12.3

Step-by-step explanation:

In order to find the solution.

1. You need to memorize the formula for the area of a sector, which is

   (central angle/360) * pi (r)^2

2. You then plug in the variables carefully.

    * You were given the diameter. Transform the diameter into radius by diving the diameter by two

     (200/360) * pi (2.65)^2

3. Simplify and round to nearest tenth

    12.3

Final answer:

The area of a sector with a central angle of 200 degrees and a diameter of 5.3 cm can be found by first finding the area of the full circle and then scaling it by the ratio of the central angle to the full circle angle (360 degrees). The final answer is approximately 12.2 cm².

Explanation:

First, let's clear up some definitions. A sector is a part of a circle, defined by two radii and their enclosed arc. The central angle here is the angle at the centre of the circle formed by the two radii.

Start by calculating the radius of the circle. Given the diameter is 5.3 cm, the radius would be half of that, which is 2.65 cm.

The area ('A') of a full circle is calculated by the formula A = πr² where 'r' is the radius. Substituting the values to find the area of the full circle, we get A = π * (2.65 cm)² = 22.02 cm².

Since we are not interested in the area of the full circle but rather a sector of the circle, we need to scale this area down by the ratio of the central angle of the sector to the full angle of the circle (360 degrees). So, the area of the sector is (200/360) * 22.02 cm² = 12.2 cm².

So, the area of the circle sector is approximately 12.2 cm² when rounded to the nearest tenth.

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Christopher is analyzing a circle, y2 + x2 = 121, and a linear function g(x). Will they intersect?

Yes, at positive x coordinates
Yes, at negative x coordinates
Yes, at negative and positive x coordinates
No, they will not intersect

Answers

3rd : yes, at negative and positive x coordinates

Answer:

Yes, at positive x coordinates

Step-by-step explanation:

5 fewer than a number is greater than 17

Answers

Answer:

22

Step-by-step explanation:

17+5=22

Answer:

x > 22

Step-by-step explanation:

number = x

5 fewer than the number

x - 5

The number is greater than 17

x -5 > 17

x -5 > 17

x > 17 + 5

x > 22

Determine whether the graph of f(x) is a sinusoid.
f(x) = sin 20x + cos 8x

Answers

Answer

b. No

Step-by-step explanation:

We can easily solve this question by using a graphing calculator or any plotting tool, to check if it is a sinusoid.

The function is

f(x) =  sin(20*x) + cos(8*x)

Which can be seen in the picture below

We can notice that f(x) is a not sinusoid. It has periodic amplitudes, and the function has a period T = π/2

The maximum and minimum values are

Max = 1.834

Min = -2

Answer:

B

Step-by-step explanation:

no

Evaluate. 12!/12!



A.) 0
B.) 1
C.) 12

Answers

12/12=1

answer is B) 1

Hope this helps chu

Answer:

B.) 1

Step-by-step explanation:

Let x = 12!

We have

x / x

Anything divided by itself = 1

Jason used his car as collateral to borrow money from his bank. After losing his job, Jason is now unable to make his monthly payments for the loan, defaulting on the loan. If Jason is unable to continue to make his payments, what is likely to happen to his car? a. The bank will ask Jason to sell the car to help pay back his loan. b. The bank will seize the car and likely sell it to pay off Jason's loan. c. The bank will notify the local government of Jason's default on his loan, making it illegal for Jason to drive the car. d. The bank will put a "boot" on one wheel of the car, making it un-drivable until Jason begins making his payments again.

Answers

Answer:Hey guys hope yall are having a good day the answer is B

b.The bank will seize the car and likely sell it to pay off Jason’s loan.

Answer:

Option B is the right option.

Step-by-step explanation:

A collateral is something that a person keeps as a security against some loan. If he fails to re-pay the loan, the collateral is seized by the lender.

Here, it is given that Jason used his car as collateral to borrow money from his bank. Now unable to make his monthly payments for the loan, defaulting on the loan.

In this case, the bank will seize his car or collateral.

So, option B is correct - The bank will seize the car and likely sell it to pay off Jason's loan.

rewrite the following biconditional as two conditionals:
A quadrilateral is a parallelogram if and only if it has two pairs of opposite sides that are parallel.

Answers

Answer:

If it has two pairs of opposite sides that are parallel, then a quadrilateral is a parallelogram.If quadrilateral is a parallelogram, then it has two pairs of opposite sides that are parallel.

Step-by-step explanation:

One of the conditions has the condition and the conclusion written in one order; the other has them written in the opposite order.

If it has two pairs of opposite sides that are parallel, then a quadrilateral is a parallelogram.If quadrilateral is a parallelogram, then it has two pairs of opposite sides that are parallel.

The vertex of the parabola below is at the point (4, -1). Which of the equations below could be the one for this parabola?  
A.x = 2(y - 4)^2 - 1 
B.x = -2(y + 1)^2 + 4 
C.x = 2(y + 1)^2 + 4 
D.y = -2(x - 4)^2 - 1

Answers

Answer:

The answer is B

Step-by-step explanation:

Please help!!!!!!!!!!

Answers

Answer:

  The area of the triangle is 0.5 square units more than the area of the parallelogram.

Step-by-step explanation:

The vertical sides of the parallelogram are 3 units long and separated by 2 units. Hence the area of that figure is 3×2 = 6 square units.

The leg lengths of the right triangle are each

  √(2^2 + 3^2) = √13

so the area of the triangle is ...

  A = (1/2)(√13)^2 = 13/2 = 6.5

The triangle has area 0.5 square units more than the parallelogram.

Which of the following points is a solution to the system of equations shown?
x + y = -5 and 4x + y = 1

(2,-7)
(7,12)
(4, -5)

Answers

Answer: First Option (2,-7)

Step-by-step explanation:

We have a system of equations formed by the following equations:

[tex]x + y = -5\\\\4x + y = 1[/tex]

To answer this question we must solve the system of equations. There are several ways to solve it. The easiest way to solve it for this case is to multiply the second equation by -1 and then add it to the first equation.

[tex]\ \ \ x + y = -5\\-4x - y = -1[/tex]

----------------------

[tex]-3x + 0 = -6\\\\x = 2[/tex]

Now substitute x = 2 in any of the system equations and solve for y.

[tex]2 + y = -5\\\\y = -7[/tex]

Therefore the solution of the system is the point: (2, -7)

There are 16 gifts under the Christmas tree. If 1 4 of them are for Chloe, how many gifts will Chloe receive? gifts

Answers

Answer: 4

Step-by-step explanation: If 1/4 of them are for Chloe, you'd divide 16 by 4 to find the answer. 16 divided by 4 equals 4.

Answer:

4

Step-by-step explanation:

There are 16 gifts under the tree, in which 1/4 is addressed to Chloe. To solve the amount she will get, Multiply 16 with 1/4:

16 x 1/4 = (16 x 1)/4 = 16/4 = 4

Chloe will receive 4 of those gifts.

~

The Burns family went to breakfast at the huddle house. Mr. Burns ordered a meal for $7.75, Mrs. Burns ordered a meal for $ 9.50. the four kids ordered kids meals for $3.49 each. They left a 20% tip. How much was the bill Excluding tax?

Answers

The value of the total bill Excluding tax would be [tex]\$31.21.[/tex]

Given that,

Mr. Burns ordered a meal for [tex]\$7.75[/tex], and Mrs. Burns ordered a meal for [tex]\$ 9.50[/tex]. the four kids ordered kids' meals for [tex]\$3.49[/tex] each.

Now, the total cost of all the meals first:

Mr. Burns' meal:  [tex]\$7.75[/tex]

Mrs. Burns' meal: [tex]\$ 9.50[/tex]  

Kids (4 of them) meals: [tex]\$3.49[/tex] each

Hence, the total cost of kids' meals:

[tex]4 \times \$3.49 = \$13.96[/tex]

Now, the subtotal by adding up the individual meal costs:

Subtotal = Mr. Burns' meal + Mrs. Burns' meal + Total cost of kids' meals

[tex]= \$7.75 + \$9.50 + \$13.96[/tex]

[tex]= \$31.21[/tex]

Hence, the total bill Excluding tax would be $31.21.

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Can someone please explain to me asap? Will mark brainiest

Answers

Answer:

It has a period of 180 degrees.

which equals (1/2) PI

Step-by-step explanation:

The answer is 1/2pi!

A wheel spins at 360 rpm. What is the angular velocity of the wheel, in radians per second?

Answers

Answer:

The angular velocity is approximately  12  π radians per second.

Step-by-step explanation:

Answer:

[tex]12\pi[/tex]

Step-by-step explanation:

Q1: If r = 9, b = 5, and g = -6, what does (r + b - g)(b + g) equal?

-14

-20

220

154


Q2: If 9(x - 9) = -11, then x = ?

70/9

108

-2/9

-90

(The images are 2 more questions)

Answers

The answers to the questions are: -20 for Q1, 70/9 for Q2, 36 for Q3, and -1 for Q4.

Q1: If r = 9, b = 5, and g = -6, what does (r + b - g)(b + g) equal?

First, calculate the expression inside the parentheses:

r + b - g = 9 + 5 - (-6) = 9 + 5 + 6 = 20

b + g = 5 + (-6) = 5 - 6 = -1

Now multiply these results together:

(r + b - g)(b + g) = 20 × (-1) = -20

The answer is -20.

Q2: If 9(x - 9) = -11, then x =?

First, simplify the equation:

9x - 81 = -11

9x = 70

Now, solve for x:

x =  rac{70}{9}

The answer is 70/9.

Q3: If (1/2)x + (2/3)y = 6, what is 3x + 4y?

Multiply the original equation by 6 to eliminate the fractions:

6((1/2)x) + 6((2/3)y) = 6 × 6

3x + 4y = 36

The answer is 36.

Q4: Evaluate f(x) = 4x + 3x² - 5 when x = -2

Substitute -2 for x and calculate f(x):

f(-2) = 4(-2) + 3(-2)² - 5

f(-2) = -8 + 3(4) - 5

f(-2) = -8 + 12 - 5

f(-2) = -1

The answer is -1.

"Reduce Fractions to lowest terms"

6 divided by 3.66

Answers

Answer:

100/61 or 1.63934

Step-by-step explanation:

The reduced fractions of 6/3.66 to the lowest terms is 100/61.

How to reduce fractions to the lowest terms?To reduce a fraction to its lowest terms, divide the numerator and denominator by the greatest common factor.A fraction is in its lowest or simplest term when the numerator and denominator have no common factor other than 1.A fraction is reduced, simplified, or in the lowest terms if one is the only common factor of the numerator and denominator.

⇒ 6/3.66 = 600/366 = 100/61.

Hence, the reduced fraction of 6/3.66 to its lowest terms is 100/61.

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Find the number of permutations of the first 10 letters of the alphabet, taking 3 letters at a time.




1040



980



720



630

Answers

Answer:

720

Step-by-step explanation:

The permutation looks like this for that set of data:

[tex]_{10}P_{3}[/tex]

and the formula to solve it like this:

[tex]_{10}P_{3} =\frac{10!}{(10-3)!}[/tex]

which simplifies down to

[tex]_{10}P_{3} =\frac{10!}{7!}[/tex]

Since every number less than 8 in the numerator cancels out with the denominator, we have

[tex]_{10}P_{3}=10*9*8[/tex]

which equals 720

A car drove 64 miles in 230 minutes. Which expression represents the rate of the car, in miles per hour? A - 64 / 2 B - 64 x 2 C - 64 / 120 D - 64 x 120

Answers

Answer:

230 minutes = 3 hours + 5/6 hours

64 miles per 230 minutes =

64 miles / 3.83333 hours = 16.695 mph

which equals NONE of the answers

Step-by-step explanation:

A function, F(x), is shown below.

Answers

Answer:

  range of f(x) = [-4, -2) ∪ [2, 8)

  a+b+c+d = -4

Step-by-step explanation:

The graph is attached. The range is the vertical extent of the function. It is defined at f(0) = -4 and f(2) = 2.

The limits f(2-) and f(4-) are -2 and 8, respectively, so the graph has open circles there. These are the ends of the two half-open intervals that make up the range of the function.

The portion of the graph in the domain [4, 7) is included in the range [2, 8), so no special treatment is needed for that piece of the function.

Convert the line integral to an ordinary integral with respect to the parameter and evaluate it. modifyingbelow integral from nothing to nothing with upper c xyz font size decreased by 5 ds​; c is the line segment from left parenthesis 0 comma 0 comma 0 right parenthesis to left parenthesis 1 comma 3 comma 6 right parenthesis

Answers

Parameterize [tex]C[/tex] by

[tex]\vec r(t)=(1-t)(0,0,0)+t(1,3,6)=(t,3t,6t)[/tex]

with [tex]0\le t\le1[/tex]. Then the line integral is

[tex]\displaystyle\int_Cxyz\,\mathrm dS=\int_0^1x(t)y(t)z(t)\left\|\frac{\mathrm d\vec r}{\mathrm dt}\right\|\,\mathrm dt[/tex]

[tex]=\displaystyle18\sqrt{91}\int_0^1t^3\,\mathrm dt=\boxed{\frac{9\sqrt{91}}2}[/tex]

Final answer:

The line integral over the path C from (0,0,0) to (1,3,6) can be converted into an ordinary integral by parameterizing the line segment and then substituting in the integral. The result of the integral amounts to 5.

Explanation:

The given integral involves a line segment from (0,0,0) to (1,3,6). Our task is to convert this line integral to an ordinary integral.

The path C from (0, 0, 0) to (1, 3, 6) can be parameterized as r(t) = ti + 3tj + 6tk for 0 ≤ t ≤ 1. So, the dr = dt(i + 3j + 6k).

Substituting for ds in the integral, we get: ∫ r(t)dt from 0 to 1, which can be reduced to three separate integrals with respect to x, y, and z respectively: ∫xdx from 0 to 1, ∫3ydy from 0 to 1, and ∫6zdz from 0 to 1. Now these can be easily integrated.

So, the solution will be:
∫xdx from 0 to 1 = [x^2/2] from 0 to 1 = 1/2,
∫3ydy from 0 to 1 = [3y^2/2] from 0 to 1 = 3/2,
∫6zdz from 0 to 1 = [6z^2/2] from 0 to 1 = 3.

Adding these up gives the result of the original line integral, which is 5.

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What was done to the linear parent function f(X) = x to get the function g(x) = 1/5x

A. Horizontally compressed by a factor of 5
B. Vertically stretched by a factor of 5
C. Shifted 1/5 unit up
D. Vertically compressed by a factor of 5

Answers

Answer:

Step-by-step explanation:

f(x) = x becomes g(x) = (1/5)x through vertical compression by a factor of 5.

We have to vertically compress by a factor of 5 the liner parent function s(X)=x to get the function g(x)=1/5x.

What is function?

A function is relationship between two variables in such a way that all the values of x corresponds to values of y.

How to determine function?

The given function is f(X)=x and we need to form the function g(x)=1/5x from the function f(x)=x. Because we need to change the value of the function means we are changing y so we need to vertically walk in the graph. If we walk horizontally we might change the value of x.

Hence to get the function g(x)=1/5x we need to vertically compress by a factor 5 the function f(x)=x.

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which geometric object is defined as the set of all points in a plane that are equidistant from the two sides of a given angle

Answers

Answer:B.) Bisector Of An Angle

Step-by-step explanation:

Angle bisectors are lines that bisect the considered angle. The correct option is B.

What are angle bisectors?

Angle bisectors are lines that bisect the considered angle. Bisect refers to splitting into two equal parts. Therefore, the bisected parts of the considered angle are half of the original angle.

As the angle bisector is a line, that is exactly between the two rays of an angle, therefore, it can be concluded that the geometric object is the angle bisector or  Bisector of an angle.

The geometric object is defined as the set of all points in a plane that are equidistant from the two sides of a given angle is the angle bisector.

Hence, the correct option is B.

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PLEASE HELP! Answer the questions about Figure A and Figure B below.

Answers

I THINK that; Yes they are congruent but I don’t know the second parts. I think D is one of them. maybe B as well? Sorry

Please check out my question
Thank u soo much

Answers

Answer: 1. C) (4, 5)

              2. D) (3, 4)

              3. B) 5/2

Step-by-step explanation:

Plug in the (x, y) coordinates to see which makes a true statement for both of the given inequalities.

             y ≥ -2x + 11               and                 y > 3x - 9

A) (2, 1)   1 ≥ -2(2) + 11   → 1 ≥ 7 is false

B) (4, 1)   1 ≥ -2(4) + 11   → 1 ≥ 3 is false

C) (4, 5) 5 ≥ -2(4) + 11   → 5 ≥ 3 is TRUE    5 > 3(4) - 9  → 5 > 3 is TRUE

D) (6, 6) 6 ≥ -2(6) + 11   → 6 ≥ -1 is TRUE   6 > 3(6) - 9  → 6 > 9 is false

The only option that produces a TRUE statement for both inequalities is C

********************************************************************************************

[tex]y=\dfrac{k}{x}\qquad \implies \qquad x\cdot y=k[/tex]

Given (2, 6), the k-value is 2 · 6 = 12.

Which (x, y) coordinates have a product of 12?

A) (1, 3) --> 1 · 3 = 3

B) (1, 4)  --> 1 · 4 = 4

C) (3, 3) --> 3 · 3 = 9

D) (3, 4) --> 3 · 4 = 12      THIS WORKS!

********************************************************************************************

In order for the equation to have infinite solutions, the left side must equal the right side.  Solve for "c"

8x - 2x(c + 1) = x

     -2x(c + 1) = -7x               subtracted 8x from both sides

           c + 1 = (-7x)/(-2x)      divided both sides by -2x

           c + 1 = 7/2                simplified

           c      = 5/2                subtracted 1 from both sides

What transformation was not done to the linear parent function, f(x) = x, to get the function [tex]g(x) = -\frac{1}{2}(x-3)+7[/tex]?

A. Shifted left 3 units
B. Vertically compressed by a factor of 2
C. Reflected over the x-axis
D. Shifted up 7 units

Answers

Answer:

The transformation was not done is Shifted left 3 units

Step-by-step explanation:

* Lets talk about the transformation

- If the function f(x) reflected across the x-axis, then the new

 function g(x) = - f(x)

- If the function f(x) reflected across the y-axis, then the new

 function g(x) = f(-x)

- If the function f(x) translated horizontally to the right  

 by h units, then the new function g(x) = f(x - h)

- If the function f(x) translated horizontally to the left  

 by h units, then the new function g(x) = f(x + h)

- If the function f(x) translated vertically up  

 by k units, then the new function g(x) = f(x) + k

- If the function f(x) translated vertically down  

 by k units, then the new function g(x) = f(x) – k

- A vertical stretching is the stretching of the graph away from

 the x-axis

- A vertical compression is the squeezing of the graph toward

 the x-axis.

- if k > 1, the graph of y = k•f(x) is the graph of f(x) vertically

  stretched by multiplying each of its y-coordinates by k.

- if 0 < k < 1 (a fraction), the graph is f(x) vertically compressed

 by multiplying each of its y-coordinates by k.

- if k should be negative, the vertical stretch or compress is

 followed by a reflection across the x-axis.  

* now lets solve the problem

∵ f(x) = x

∵ g(x) = -1/2 (x - 3) + 7

# -1/2 means the graph is vertically compressed by a factor of 2

  and reflected over the x-axis

# x - 3 means the graph shifted to the right 3 units

# + 7 means the graph shifted up 7 units

* The transformation was not done is Shifted left 3 units

15 pts awarded and brainliest chosen
Which of the following are solutions to ? Check all that apply.

Answers

ANSWER

[tex]x = \frac{9}{2} [/tex]

EXPLANATION

The given absolute value equation is:

[tex] |x + 4| = 3x - 5[/tex]

This implies that, either

[tex] x + 4= 3x - 5[/tex]

[tex]x - 3x = - 5 - 4[/tex]

[tex] - 2x = - 9[/tex]

[tex]x = \frac{9}{2} [/tex]

Check for extraneous solution.

[tex]| \frac{9}{2} + 4| = \frac{27}{2} - 5[/tex]

[tex] \frac{17}{2} = \frac{17}{2} [/tex]

This is the real solution.

Or

[tex] - (x + 4)= 3x - 5[/tex]

This implies that:

[tex]x + 4= - 3x + 5[/tex]

Group similar terms:

[tex]x + 3x= 5 - 4[/tex]

[tex]4x = 1[/tex]

[tex]x = \frac{1}{4} [/tex]

Check for extraneous solution

[tex]| \frac{1}{4} + 4| \ne \frac{3}{4} - 5[/tex]

This is an extraneous solution.

Hi, please help!

Isaiah has worked 50 hours this week at a grocery store. For the first 40 hours, he gets paid $12 an hour. For any additional hours, Isaiah gets paid overtime at 1.5 times his base pay per hour. How much will Isaiah earn this week?

a. $600
b. $750
c. $660
d. $720

Answers

Isaiah will earn $660 for the 50 hours he worked

Answer:

c. $660

Step-by-step explanation:

Please Help !
Answer the questions about Figure A and Figure B below.

Answers

Answer:yes

Step-by-step explanation:

Each of their corners are at a 90* angle

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