Two cyclists start from 98 miles apart and begin racing toward each other. Three hours later, they have not yet met and the distance between them is 2 miles. How fast is each of them biking if one bikes 3 mph slower than the other?

Answers

Answer 1

Answer:

18 and 21

Step-by-step explanation:


Related Questions

10 Points!!! Write the equation of a line with slope 2 and y-intercept -1.

Answers

Answer:

y=2x-1

Step-by-step explanation:

27/125 in simplest form

Answers

[tex] \frac{27}{125} [/tex]

It is already in the simplest form. It can be written as 0.216 in decimal form (rounded to 6 decimal places).

Answer:

27 /125

is already in the simplest form. It can be written as 0.216 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 27 and 125 is 1

Divide both the numerator and denominator by the GCD

27 ÷ 1 /125 ÷ 1

Reduced fraction:  

27 /125

Therefore, 27/125 simplified to lowest terms is 27/125.

11 + 4n - 2n + 12 HELPPPPPPPPPPPPPPP

Answers

Answer:

2n + 23

Step-by-step explanation:

11 + 4n - 2n + 12

Rearrange terms:

4n - 2n + 12 + 11

Combine like terms:

2n + 23

Transpose for y.
y/5+ f = 3q

Answers

Answer:

y = 15q - 5f

Step-by-step explanation:

[tex]\frac{y}{5}[/tex] + f = 3q ( subtract f from both sides )

[tex]\frac{y}{5}[/tex] = 3q - f ( multiply through by 5 to clear the fraction )

y = 15q - 5f

What is the square root of 80?

Answers

Answer:

√80 = 4√5

80²=1600

Step-by-step explanation:

80 | 2

40 | 2

20 | 2

10 | 2

5 | 5

√80= 2⁴ × 5

80= 2² × 5

80 = 4√5.

If the ticket was $36 and she bought it at original price and marked it up 10% and resold the ticket .how much did he resell the ticket for?

Answers

36+ 10/100 *36 = 39.6

what is 7.2 times 10 with the exponent of 5

Answers

Answer:

the answer is 720000

Step-by-step explanation:

looked it up

A. If the measure of 1 = 160°, then the measure of 5 =

B. If the measure of 6 =37°, then the measure of 4 =

C. If the measure of 8 = 82, then the measure of 3 =

Answers

Answer:

A) ∠5 = 160°

B) ∠4 = 37°

C) ∠3 = 98°

Step-by-step explanation:

A)

If ∠1 = 160°

∠5 = ∠1 = 160° (∵ Corresponding angles are always equal)

B)

If ∠6 = 37°

⇒ ∠4 = ∠6 = 37° (∵ Vertical angles are always equal)

C)

If ∠8 = 82°

⇒ ∠8 = ∠6 = 82° (∵ Alternate interior angles are always equal)

Now ,

∠6 + ∠3 = 180° (∵ Linear pair)

⇒ ∠3 + 82° = 180°

∠3 = 180° - 82° = 98°

Csc(6x)-cot(6x)/csc(6x)+cot(6x)

Answers

The value of the expression Csc(6x)-cot(6x)/csc(6x)+cot(6x) is tan²3x.

What is a Trigonometric Ratios?

Trigonometric Ratios are ratios of the side of a right angled triangle. These are used to find the missing sides and angles of a right angled triangle.

[tex]\rm =\dfrac {cosine(6x)-cot(6x)}{cosine(6x)+cot(6x)}\\\\\\\ = \dfrac{ \dfrac{1}{sin6x} - \dfrac{cos6x}{sin6x}}{ \dfrac{1}{sin6x} + \dfrac{cos6x}{sin6x}}\\\\\\ = \dfrac{ 1-cos 6x}{1+cos6x}[/tex]

( 1- cosx = 2sin²x/2) ( 1+cosx = 2cos²x/2)

[tex]\rm = \dfrac{ 2 sin^2 3x}{2 cos^2 3x}\\\\\\\\=tan^2 3x[/tex]

To know more about Trigonometric Ratios

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HELP HELP HELP HELP HELP​

Answers

Answer:

1) 2 and 4

2) 3 and 4

3) 7 and 8

4) 9 and 10

5) 21 and 22

Answer:2 & 33 & 47 & 89 & 1021 & 22

Step-by-step explanation:

#1

Since √(8) = √(2×4) = 2√2

then the √(8) lies between 2 & 3

#2

Since √(9) = 3 & √(16)= 4

then √(14) lies between 3 & 4

#3

√(60) = √(4×15) = 2√(15)

  since √16 = 4 and 4 × 2 = 8

  then 2√(15) < 8

∴ the √16 lies between 7 & 8

#4

√99 = √(9×11) = 3√11

√11 lies between √9 & √16 but closer to √9

   & 3 × √16 = 12

the 3√11 = √99  likely lies between 9 & 10

#5

√444 = √(4×111)= 2√111

since √100 = 10 & √121 = 11

& 2×10= 20 & 2×11= 22

then 2√111 is likely between 21 & 22

True or Fasle


1.A different of two square has a middle term.

2.The binomial x² + 4 is equal to (x + 2) (x + 2).

3. The complete factored form of x⁴ - 16 is (x² + 4) (x² - 4)

4. When x + 3 is multiplied by x - 3, the product is a perfect square trinomial.

Answers

1. True.

2. False. x² + 4 = (x+2)(x-2)

3. True.

4. False. It gives (x²-9) which is a binomial.

Feel free to mark this as brainliest! :D

a professional baseball pitcher was capable of throwing a baseball 160 ft/s. during his career, he had the opportunity to pitch in the Houston astrodome,

Answers

Answer:

wheres the rest of question?

Step-by-step explanation:

If f(x) = 5-2x find f(9)+ 3

Answers

f (9) = 5 - 2 (9)

f (9) = 5 - 18

f (9) = - 13

f (9) + 3 = - 13 + 3

f (9) + 3 = - 10

Answer:

the answer is -10

Step-by-step explanation:

Does the following set of ordered pairs make up a relation? If so, is the relation also a function?
Why or why not?

{(2,4), (3, 6), (4,8), (5, 10), (6, 12), (7, 14)

Answers

Answer:

Yes! It does make up a relation. It is also a function. Each x has a y. And also the x doesn't repeat

REPOST* which equation or inequality shows the relationship between the plotted points on the number line
A. -4 > 3
B. -4 > -3
C. 3 > -4
D. 3 < -4

Answers

Answer:

letter a. Po sagot diyan

20 divided by 4 1/2 (last one) will give brainlist if give a step by step, and will give points.

Answers

Answer:

3/16

Step-by-step explanation:

Answer:

4.4...

Step-by-step explanation:

20 ÷ 4 1/2

let's change 4 1/2 into an improper fraction.

20 ÷ 9/2

20 is the same thing as 20/1, so we'll express it that way.

[tex]\frac{20}{1}[/tex] ÷ [tex]\frac{9}{2}[/tex]

in order to divide fractions, you must multiply the first number (20/1) by the inverse of the second number (2/9). I'll put it in normal fraction form for clarity.

20      2

---   ×  ---

1          9

now we multiply straight across.

40

----

9

now we have 40 ÷ 9, which is 4.444...

so your answer is 4.4...

{also 4.4 with a repeating bar (tiny line over the .4)}

if I have 350 cream puffs and I have to have 12 in each box how many boxes will I need​

Answers

Answer:

30

Step-by-step explanation:

350÷12=29.1666666666666666......

if you are fitting all of them with no remainder than it would be 30 boxes

if not then 29

Answer:

29 full boxes plus one for the remainder

Step-by-step explanation:

why do you need to know this

and please dont eat that many cream puffs

Give Me Brainliest

(a) Write the point–slope form of a function that has a slope of 3- 5 and passes through the point (6,1). (b) Algebraically manipulate your answer in part a to produce the slope– intercept form of the function that has a slope of 3 - 5 and passes through the point (6,1).

Answers

Answer:

sloped answer

Step-by-step explanation:

(6,1) guessed soon, look other too

Last term Mark spent $218 on college textbooks. This term the amount he spent on college textbooks decreased by 26.7%. By how much money did his textbook bill decrease this term? What is his total textbook bill for this term?

Answers

Answer:

Money decrease = $58.21

Total Bill = $159.79

Step-by-step explanation:

Starting Value = $218

Percent Decrease = 26.7%

End Value = x

Value Decrease = $218 - x

x = 1(218) - 0.267(21.8)

x = 0.733(218)

x = 159.794 ≈ $159.79

Money Decrease = $218 - $159.79 = $58.21

Total Bill = $159.79

-Chetan K

The amount by which the text book decrease is $58.206

The total textbook bill for the term is $ 159.794

How to calculate the total textbook bill for the term?

The first step is the calculate the amount by which the textbook decreased

The formular can be written as

Decrease= original amount × percentage decrease

= 218 × 26.7/100

= 218 × 0.267

= 58.206

The amount by which the textbook decreased is $58.206

The total textbook bill for the term can be calculated as follows

= Original amount- amount decrease

= 218 - 58.206

= 159.794

The total textbook bill for the term is $159.794

Read more on decrease here

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Please refer to the following attachment and find the value of x.

Answers

Answer:

5

Step-by-step explanation:

Sum of interior angles in a 4 sided quadrilateral is 360,

110 + 70 + 14x + 23x - 5 = 360

180 + 37x - 5 = 360

180 - 5 + 37x = 360

175 + 37x = 360

37x = 360 - 175

37x = 185

x = 185 / 37

x = 5

✦[tex]\bf{x=5°}[/tex]✦

Step-by-step explanation:

We know that,

For a tetragon the sum of all 4 angle is 360°

According to the question,

70+110+(23x-5)+14x=360

180+23x-5+14x=360

37x-5=360-180

37x=180+5

37x=185

x=[tex]\sf{\dfrac{185}{37} }[/tex]

x=5

Fill in the missing number. 30% of = 2,700

Answers

Answer:

810!

Hope this helped! Have a nice day!!

Answer:

30% of 2,700 is 810

Step-by-step explanation:

proportions

0.30×2,700

810

The graph off passes through (-9, -3) and is perpendicular to the line whose equation is x= -8.

Answers

Answer:

pooStep-by-step explanation:Stinky

A production process produces electronic component parts. It is presumed that the probability of a defective part is 0.01. During a test of this presumption, 500 parts are sampled randomly and 15 defectives are observed. (a) What is your response to the presumption that the process is 1% defective

Answers

Testing the hypothesis, we have that since the p-value of the test is 0 < 1, our response is that the presumption underestimates the proportion of defective parts.

At the null hypothesis, we test if the proportion of defectives is of at most 1%, that is:

[tex]H_0: p \leq 0.01[/tex]

At the alternative hypothesis, we test if the proportion of defectives is of more than 1%, that is:

[tex]H_1: p > 0.01[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

From the sample, we have that:

[tex]n = 500, \overline{p} = \frac{15}{500} = 0.03[/tex]

Thus, the value of the test statistic is:

[tex]z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}[/tex]

[tex]z = \frac{0.03 - 0.01}{\sqrt{\frac{0.01(0.99)}{500}}}[/tex]

[tex]z = 4.49[/tex]

The p-value of the test is the probability of finding a sample proportion above 3%, which is 1 subtracted by the p-value of z = 4.49.

z = 4.49 has a p-value of 1.

1 - 1 = 0.

The p-value of the test is 0 < 1, which means that our response is that the presumption underestimates the proportion of defective parts.

A similar problem is given at https://brainly.com/question/24912812

I need help with thissssss

Answers

Answer:

Loading,please wait...

Step-by-step explanation:

I need to find 15/4 + (-4 1/3)

Answers

Answer:

Step-by-step explanation:

11

Find the x- and y-intercepts of the graph of 4x – 7y = 36. State each
answer as an integer or an improper fraction in simplest form.
x-intercept:
y-intercept:

Answers

Answer:

See below

Step-by-step explanation:

X Intercept = (9,0)

Y Intercept = (0, -5.143) in fractions (0,-5 143/1000)

X Intercept is what is X when Y is 0.

Y Intercept is what is Y when X is 0.

If is helped you, please mark this as brainliest!! Thank you!! :)

who ever can answer me this can git points and a branliest but answer it rite

Answers

Answer:

2/3

Step-by-step explanation:

3-7

-----

-6-0

= -4/-6

=2/3

Answer:

- 2/3

Step-by-step explanation:

Use the slope formula:

[tex]m=(y_2-y_1)/(x_2-x_1)[/tex][tex]m=(3-7)/(0-(-6))=-4/6=-2/3[/tex]

As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 50 milligrams of Medication A with 45 milligrams of Medication B. However this week, the doctor said to only use 36 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?

Answers

Answer:

40 mg

Step-by-step explanation:

The ratio is 10:9 because 50:45 divided by 5 gives 10:9

if you divide 36/9 that gives you 4, then multiply your ratio by 4 to get 40:36.

This isn't a question, but if you need help with math come to me.

Answers

Answer:

Bet!! :D can i get brainliest !! please

Step-by-step explanation:

quadratic graphs
y=x squared - 4x

Answers

This is one way of doing it.

We want to get the function into vertex form.  

y = x2 - 4x + 2                  Subtract 2 from both sides.

y - 2 = x2 - 4x                   Add (-4/2)2 , or 4, to both sides.

y - 2 + 4 = x2 - 4x + 4       Now that the right hand side is a perfect square trinomial, factor it.

y + 2 = (x - 2)(x - 2)          

y + 2 = (x - 2)2                  Subtract 2 from both sides.

y = (x - 2)2 - 2

 

When the equation is in this form, we can see that this is the graph of y = x2 shifted to the right 2 units and shifted down 2 units. The vertex is at (2, -2). So plot the first point at (2, -2) and go up just like a basic parabola from there. :)

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