The total distance around a running track is 1 5/8 miles. Wayne ran 1/4 of the track. What equation can be used to find d, the distance in miles that Wayne ran?

Answers

Answer 1

Answer:

1 5/8 * 1/4 = d

Step-by-step explanation:


Related Questions

Can someone help me with this?

Answers

Answer:

Step-by-step explanation:

First triangle is a 45-45-90 triangle.  In most basic form, the two equal sides have length 1 and the hypotenuse has length √2.  Do not write x√2.

Second triangle:  The shortest side is 1, the longer side is √3 and the hypotenuse is 2.  You could verify this using the Pythagorean Theorem:

2² = 1² + (√3)² is true.

Please, no more than 2 problems per post.  Please re-post the remaining problems and either I or someone else will help you with them.

If f(x) = |x – 5| + 3, find f(2).

Answers

Answer:

f(2)=6

Step-by-step explanation:

f(x) = |x – 5| + 3 and find f(2). We plug in 2 for x

f(2) = |2 – 5| + 3

f(2) = |-3| + 3 absolute value makes the number inside positive

f(2)= 3+3

f(2)= 6

Factor the expression 3x-12

Answers

Answer:

3(x-4)

Step-by-step explanation:

Answer: 3(x-4)

Step-by-step explanation:

Hii! Do you need to factor the expression 3x-12? No problem! (:

Note that both terms have something in common; it's known as the greatest common factor, or g.c.f.

The g.c.f. of 3x and -12 is 3, so we divide both 3x and -12 by 3.

We obtain

x-4

Now we put parentheses around x-4.

(x-4)

Next, we put 3 (the number we factored out) outside these parentheses.

3(x-4)

Voila! There's our answer, cheers!

--

Hope that this helped! Best wishes.

--

a right trangle has one angle that measures 70 what is the measure of the other acute angle in the triangle

Answers

Answer:

20

Step-by-step explanation:

We know that the interior angle measures of a triangle are 180, and we are told that this is a right triangle.

Since we know the measure of two angles, we just have to do basic math:

180=90+70+x

solve for x (which equals 20) to get the measure of your acute angle

Final answer:

In a right triangle with one acute angle measuring 70 degrees, the measure of the other acute angle is 20 degrees, as the sum of all angles in a triangle is 180 degrees.

Explanation:

The sum of the angles in any triangle is always 180 degrees. In a right triangle, one of the angles is always 90 degrees, which is the angle that makes it "right." If a right triangle has one acute angle that measures 70 degrees, to find the measure of the other acute angle, we subtract the known angles from 180 degrees:

180 degrees (total in a triangle) - 90 degrees (right angle) - 70 degrees (given acute angle) = 20 degrees.

Therefore, the measure of the other acute angle in the triangle is 20 degrees.

Find the length of the missing side. The triangle is not drawn to scale. Show your work. (Will give brainliest)

Answers

A^2 + b^2 = c^2

C is your hypotenuse or the longest side of the triangle; you plug in your values and solve for the missing side:

15^2 + b^2 = 17^2

225 + b^2 = 289

*-225 on both sides to get b by itself*

B^2 = 64

*to get rid of the ^2; you take the square root*

B = sqrt 64

B= 8 <— final answer

We can use the Pythagorean Theorem to solve for the missing side length (a).

Pythagorean Theorem:

a² + b² = c²

a and b are the legs (shorter sides) of the triangle and c is the hypotenuse (the longer side of the triangle).

1. Substitute in the known values.

a = ?

b = 15

c = 17

a² + 15² = 17²

2. Solve for a.

a² + 15² = 17²

a² + 225 = 289

a² + 225 - 225 = 289 - 225

a² = 64

√a² = √64

a = 8

Hope this helps!

Suppose a football is kicked with an initial velocity of 82 ft/sec., at an angle of

58° to the ground. What is the position of the ball after two seconds?

(Remember: Acceleration due to gravity is 32 ft/s².) Round your answer

to the nearest whole foot. Show all work.

Answers

Answer:

The position P is:

[tex]P = 87\^x + 75\^y[/tex] ft     Remember that the position is a vector. Observe the attached image

Step-by-step explanation:

The equation that describes the height as a function of time of an object that moves in a parabolic trajectory with an initial velocity [tex]s_0[/tex] is:

[tex]y(t) = y_0 + s_0t -16t ^ 2[/tex]

Where [tex]y_0[/tex] is the initial height = 0 for this case

We know that the initial velocity is:

82 ft/sec at an angle of 58 ° with respect to the ground.

So:

[tex]s_0 = 82sin(58\°)[/tex] ft/sec

[tex]s_0 = 69.54[/tex] ft/sec

Thus

[tex]y(t) = 69.54t -16t ^ 2[/tex]

The height after 2 sec is:

[tex]y(2) = 69.54 (2) -16 (2) ^ 2[/tex]

[tex]y(2) = 75\ ft[/tex]

Then the equation that describes the horizontal position of the ball is

[tex]X(t) = X_0 + s_0t[/tex]

Where

[tex]X_ 0 = 0[/tex] for this case

[tex]s_0 = 82cos(58\°)[/tex] ft / sec

[tex]s_0 = 43.45[/tex] ft/sec

So

[tex]X(t) = 43.45t[/tex]

After 2 seconds the horizontal distance reached by the ball is:

[tex]X (2) = 43.45(2)\\\\X (2) = 87\ ft[/tex]

Finally the vector position P is:

[tex]P = 87\^x + 75\^y[/tex] ft

I have 811 handkerchief in all, and need 25 for one quilt. How many quilts can I make and how many handkerchief will be left over?

Answers

Answer:

32 with 11 handkerchief left over

Step-by-step explanation:

Handkerchief = 811

Quits for 1 handkerchief = 25

Number of quits

= 811 ÷ 25

= 32 Remainder 11

Answer:

32 reminder of 11

Step-by-step explanation:

a realty company makes a 6% commission on real estate sales. A house is sold fir 258,000. how much commission did the company make?

please help​

Answers

Answer:  I Believe the company made $15,480.00

Step-by-step explanation:

Because .....

6% × 258,000= 15.48

Then, you would add all the zeroes and your answer will be $15,480.00.

* Hopefully this helps:)

~ Mark me the brainliest:)!!


What value of y makes
the equation below true?
y + 2.9 = 11
A 8.1
B 8.9
C 9.1
D 13.9

Answers

Answer is “A”

Because since we know if we need to find the y is so we need to subtract 11-2.9=8.1

which mean y mean 8.1

The answer would be A

That is because you can not add unlike terms, so you would have to subtract 2.9 - 11 to find your answer. Therefore, the answer is 8.1

Hope you found this useful.

Plz help me with this

Answers

Answer:  False

Step-by-step explanation:

{2, 3, 6, 8, ... } is tending toward infinity, but the terms are increasing - not alternating.

a tank containing 64 gallons lost 6 1/4% of this through leakage how much is remaining is the tank

Answers

if we take 64 to be the 100%, how much is 6¼% off of it?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 64&100\\ x&6\frac{1}{4} \end{array}\implies \cfrac{64}{x}=\cfrac{100}{6\frac{1}{4}}\implies \cfrac{64}{x}=\cfrac{\frac{100}{1}}{\frac{25}{4}}\implies \cfrac{64}{x}=\cfrac{100}{1}\cdot \cfrac{4}{25} \\\\\\ \cfrac{64}{x}=16\implies 64=16x\implies \cfrac{64}{16}=x\implies 4=x \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{it had}}{64}-\stackrel{\textit{leakage}}{4}\implies \stackrel{\textit{remaining}}{60}[/tex]

Answer:

60 gallons of gas remained in the tank.

Step-by-step explanation:

1) 6 1/4 = 6.25

2) 64*6.25% = 4 OR 64*6 1/4 = 4

3) 64 - 4 = 60

If the equation y = 1 5 x + 2 is changed to y = 1 5 x - 4, how will the graph of the line change? A) It will shift down 4 units. B) It will shift down 6 units. C) It will shift right 4 units. D) It will shift right 6 units.

Answers

Answer:

It will shift down 6 units.

ANSWER

B) It will shift down 6 units.

EXPLANATION

The given function is

y=15x+2

We want to find how the graph of this function will change if the function is transformed to

y=15x-4

We rewrite this function in terms of the first one to get:

y=15x+2+-6

Hence the function with shift down 6 units.

In the graph, z is a complex number represented as a vector from the origin. What is the product of z and its conjugate?

Answers

Answer:

5

Step-by-step explanation:

Given a complex number x + yi then the conjugate is x - yi

Note the real part remains unchanged while the sign of the imaginary part is negated.

here z = 1 - 2i hence conjugate is 1 + 2i

and the product is

(1 - 2i)(1 + 2i) ← expand factors

= 1 - 4i² [ i² = - 1 ]

= 1 + 4

= 5

The product of z and its conjugate will be 5.

What is a complex number?

The complex number is the combination of the real part and the imaginary part. Then the complex number is given as

⇒ a+bi

In the graph, z is a complex number represented as a vector from the origin.

Then the complex number will be

z = 1 – 2i

Then the conjugate of z will be

⇒ 1 + 2i

Then the product of z and its conjugate will be

⇒ (1 – 2i)(1 + 2i)

⇒ 1² – 2²i²

We know i² = -1

⇒ 1 – 4(-1)

⇒ 1 + 4

⇒ 1² – 2²i²

⇒ 5

More about the complex number link is given below.

https://brainly.com/question/10251853

#SPJ2

What is the vertex of the parabola

Answers

Answer:

(1,-4) the vertex will always be the lowest point

Step-by-step explanation:

lowest point my dude

Answer: (1,-4)

Step-by-step explanation: The vertex is either the highest point or the lowest point on the parabola depending on whether the parabola opens upward or downward.

In this case, since the parabola opens upward, we can see that

the vertex is the lowest point on the parabola which is (1,-4).

Equation of the blue graph? Thank you!

Answers

Answer:

B

Step-by-step explanation:

The red graph is the graph of the parent function [tex]F(x)=x^2.[/tex]

The blue graph is the red graph translated 4 units to the right.

Rule of translation a units to the right:

[tex]G(x)=F(x-a).[/tex]

Then the function with blue graph has expression:

[tex]G(x)=(x-4)^2.[/tex]

PLEASE SOLVE THIS ASAP

Answers

OK..

So first you need to divide it into two shapes, rectangle and square

Then u find the area for rectangle and add it with the area of square..

Answer:

I think the answer is 23. Please tell me if I am wrong.

Step-by-step explanation: 8 + 4 = 12   4 + 5 + 2 = 11  12 + 11 = 23

Emily cycle 22 miles over four days she cycled the same amount each day how many miles per day did she cycle what operation do you use to solve this problem​

Answers

Answer:

5.5 miles per day

Step-by-step explanation:

To divide an amount equally over 4 days, use the division operation. Divide 22/4 = 5.5.

Find the value of y . 13/9 = y/18 y = ___. HELP ME IMMEDIATELYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY PLZ

Answers

Answer: 9 :)

Step-by-step explanation:

Answer:

[tex]y=26[/tex]

Step-by-step explanation:

[tex]\frac{13}{9}=\frac{y}{18}[/tex]

Cross multiply, isolate the variable, and divide by the coefficient to solve.

[tex]\frac{13}{9}=\frac{y}{18} \\ \\ 9y=234 \\ \\ y=26[/tex]

Plug back in to check.

[tex]\frac{13}{9}=1.4... \\ \\ \frac{26}{18}=1.4...[/tex]

Which of the values in the set {2, 3, 4, 5} is a solution to the equation 2x + 4 = 10? (4 points) 2 3 4 5

Answers

Answer:2

Step-by-step explanation:

Answer:

Its 3

Step-by-step explanation:

10- 4 = 6

2 x ? = 6

2 x 3 = 6

What is the sine cosine and tangent of 120 degrees

Answers

The sin of 120 is the square root of 3 over 2.

The cos of 120 is -1/2

The tan of 120 is negative square root of 3

Use cast rule

120 degrees is in the Quadrant 2 meaning it is in the “S” quadrant AKA where Sin is positive, Cos is negative, & Tan is negative.

I found the angle of the coterminal by subtracting 120° from 180° -> 180-120=60°

Then I used the 30°-60°-90° triangle rule to find my lengths and ratios for sin, cos and tan!




John has a deck of cards 52 cards of John remove the number to car from the deck what is the probability that he will pick up a number two card at random ?

Answers

Answer:

3 out of 51

Step-by-step explanation:

If he removed one number two card from the deck then there should be three left since there are 4 of each number card in a deck so therefore there should be 51 cards in the deck but only three number two cards left in the deck

The probability of drawing a number two card from a 52-card deck after removing all four number two cards is 0, as there are no such cards left to draw.

Calculating the Probability of Drawing a Number Two Card

If John removes the number two card from a standard 52-card deck, the deck then has 48 cards because there are 4 number two cards, one in each suit (clubs, diamonds, hearts, and spades). Since these cards are no longer in the deck, the probability of picking up a number two card at random from the remaining deck is 0, as there are no number two cards left to draw.

Initially, the probability of drawing a two card from a full deck would be 4 out of 52 cards or 1 out of 13, as there are 4 twos in the set of 52 cards. However, with the removal of all four number twos, there are no such cards left, hence the probability of drawing a two is reduced to 0.

Understanding probability in a deck of cards is a fundamental concept in statistics and probability theory, which can be applied to various practical situations including games and predictive models.

PLZ HELPP 10 POINTS PLZZZ

Answers

Answer:

No,yes,yes,no,yes

Step-by-step explanation:

An engineer estimated the weight of a steel beam to be 600 pounds. The actual weight of the beam was 639 pounds. Find the absolute error and the percent error of the engineer's estimate. If necessary, round your answers to the nearest tenth.

Answers

Answer:

Absolute error = 39

Percent Error = 6.10%

Step-by-step explanation:

Actual value = 639 pounds

Observed Value = 600 pounds

The formula to find absolute error is:

Absolute Error = Actual value - Observed Value

                        = 639 - 600

                        = 39

The formula to find Percent error is:

Percent Error = (Actual value - Observed Value / Actual value)*100

                       = (639 - 600/639)*100

                       = 6.10%

                 

Answer:

Absolute error = 39 pounds

Percent error = 6.10%

Step-by-step explanation:

We know that the estimated weight was 600 pounds while the actual weight of the beam was 639 pounds.

So we will find their difference to get the absolute error.

Absolute error = 639 - 600 = 39 pounds

We will use the following formula to find the percent error.

Percent error = (Estimated value - actual value / actual value) * 100

Percent error = 639 - 600 / 600 * 100 = 6.10%

The bill for a meal at a restaurant is $105.95.If the customer leaves a 20% tip,what is the total cost of the meal with tip

Answers

100% + 20%= 120%

120% of $105.95

=6/5 × $105.95

=6 × $21.19

=$127.14

in the system shown below, what are the coordinates of the solution that lies in quadrant IV? x2+y2=25 x-y2=-5

Answers

Answer:

[tex]x=4,y=-3[/tex], or as an ordered pair: (4, -3)

Step-by-step explanation:

We have the system of equations

[tex]x^2+y^2=25[/tex] (1)

[tex]x-y^2=-5[/tex] (2)

Let's solve our system step-by-step:

Step 1. Solve for [tex]y^2[/tex] in equation (1)

[tex]x^2+y^2=25[/tex]

[tex]y^2=25-x^2[/tex] (3)

Step 2. Replace equation (3) in equation (2) and solve for [tex]x[/tex]

[tex]x-y^2=-5[/tex]

[tex]x-(25-x^2)=-5[/tex]

[tex]x-25+x^2=-5[/tex]

[tex]x^2+x-20=0[/tex]

[tex](x+5)(x-4)=0[/tex]

[tex]x+5=0,x-4=0[/tex]

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

Remember that in the fourth quadrant x is positive and y is negative, so we are taking the positive value of x; in other words [tex]x=4[/tex] (4)

Step 3. Replace equation (4) (the positive value of x) in equation (1)

[tex]x^2+y^2=25[/tex]

[tex]4^2+y^2=25[/tex]

[tex]16+y^2=25[/tex]

[tex]y^2=25-16[/tex]

[tex]y^2=9[/tex]

[tex]y=\sqrt{9} ,y=-\sqrt{9}[/tex]

[tex]y=3,y=-3[/tex]

Since y is negative in quadrant IV, we take [tex]y=-3[/tex]

We can conclude that the solution of our system of equations that lies in the quadrant IV is [tex]x=4,y=-3[/tex], or as an ordered pair: (4, -3)

Answer:

if you type (4,-3) is wrong

What is the total perimeter of this figure? Express your answer in feet.

Answers

Answer:

i need to see the figure

Step-by-step explanation:

Answer:

i cant get the figure to go thru

Step-by-step explanation:

There are 25 betta fish at a pet store. The next day 9 betta were token. How many bettas are left?

Answers

Answer:

16 beta fish

Step-by-step explanation:

Take the starting number of fish: 25, and subtract it by the number of fish being taken away: 9.

Answer:

16

Step-by-step explanation:

if we have 25 bettas and then 9 were taken that means we should subtract 9 from 25 to get 16 bettas left

If 11 bumper stickers cost $10.34 then 30 bumper stickers cost

Answers

Answer:

$28.20

Step-by-step explanation:

Let's set up an equation.

Let b be the cost of a bumper sticker.

Since the sum of the prices of 11 bumper stickers total up to $10.34, we can set up an equation!

11b = 10.34

Dividing by 11 on both sides,

b  = 0.94

Plugging in b into 30b,

30(0.94)

We get

$28.20

Answer:

$28.20

Step-by-step explanation:

First, find out how much each bumper sticker costs.

Assuming that the cost of each bumper sticker is the same, the following equation represents how much one bumper sticker costs

11x =  10.34

Solve for x [divide both sides by 11]

x = 0.94

So, one bumper sticker costs $0.94

Now, find out how many 30 bumper sticker costs.

The following equation represents how much 30 stickers cost.

30x = y

X represents the cost of one sticker and y represents the cost of 30 stickers.

We already know the value of x [one bumper sticker's cost] which is $0.94, so subsitute that in for x.

30[0.94] = y

28.2 = y

So, 30 bumper stickers cost $28.20.

I hope this helps!

125.663 in terms of pi

Answers

Just divide by pi, so it would be about 39.999(Pi)

Need help with b and c

Answers

Answer:

Step-by-step explanation:

the formula is:

[tex]a_n = \frac{n+1}{n+2}[/tex]

[tex]a_100 = \frac{101}{103}[\tex]

Answer:

see explanation

Step-by-step explanation:

We note that for each term, the numerator increases by 1 and the denominator increases by 1 from the previous term, that is

term 1 = [tex]\frac{1+1}{1+2}[/tex] = [tex]\frac{2}{3}[/tex]

term 2 = [tex]\frac{2+1}{2+2}[/tex] = [tex]\frac{3}{4}[/tex]

term 3 = [tex]\frac{3+1}{3+2}[/tex] = [tex]\frac{4}{5}[/tex]

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

term 100 = [tex]\frac{100+1}{100+2}[/tex] = [tex]\frac{101}{102}[/tex]

If we let n be the term value, then the n th term is

[tex]a_{n}[/tex] = [tex]\frac{n+1}{n+2}[/tex]

Other Questions
Match the following items with the best possible description. 1.government shutdown 1995 earthquake 2.Columbia Iraq 3.control of pollution budget debate 4.free trade environment 5.San Francisco first shuttle 6.invaded Kuwait NAFTA If sin(x+y) - sin(x-y) = 2f(x)sin(y), then f(x) equals????? A turntable with a radius of 8cm rotates at 45 rpm. What is the linear speed of a point on the outside rim? When you are sick, your lymph nodes swell with extra erythrocytes. True False Help please and need to show the work! Please help me ll give you 40 branily A severe water shortage recently hit country X. The government wants to ensure that drinking water remains affordable to the public. What policy or steps should the government undertake? A) Decrease spending on water reforms.B) Introduce a price floor on drinking water.C) Increase taxes for working individuals.D) Introduce a price ceiling on drinking water.E) Increase taxes for producers of drinking water.Random answers will be reported!! What event in 1949 caused concern among Americans? A) Communist takeover of China B) Korean War C) Vietnam War D) Watergate scandal please help w precalculus will mark brainliest!-see attachment- student government members survey every 15th student who enters the school building and asks whether students favor the schools new school mascot. the sample statistics show that 57% oppose the new school mascot., 37% favor the school mascot, and 6% have no opinion. A mother who is 40 years old has a daughter and a son. The son is twice as old as the daughter. In 15 years the sum of all their ages will be 100 years. How old are the siblings now? Which are true about the area of the circle? Check all that apply what are the roots of this equation? x-4x+9=0a. 1i5b. 2i5c. 2i3d. 1i52 Marking brainliest w If someone has a mental health disorder that requires medication, which mental health professional would be the best choice?psychologistclinical social workerpsychiatristmental health counselor What is the overall order of reaction for this rate law: Rate = k ? A. zero B. first C. second D. third I just need a recipe for tacos and spagetti tacos ;-; Which idea would work BEST when dealing with conflict in a team?force the other person to listen to youstate you opinion firmly and with authorityallow the other person a way out of the conflictUse friendly terms like "sweetie" to diffuse the anger Which is an example of a local wind? a windchill a jet stream a trade wind a sea breeze When a person's words don't match their nonverbal behavior, it is known as an incongruous response? Which part does not belong to the exterior of a car? A. Puerta B. Luz delantera C. Luz indicadora D. Tablero de mandos E. Ruedas