Santos went on a bike ride of 90 miles. He realized that if he had gone 24 mph faster, he would have
arrived 12 hours sooner. How fast did he actually ride?


Need an answer fast

Answers

Answer 1
Answer:  6 mph

========================================

Explanation:

distance = rate*time

90 = r*t

where r is the slower speed and t is the time it takes when going that slower speed.

If r is bumped up 24 mph faster, to r+24, then Santos takes t-12 hours to get there. The second equation is

90 = (r+24)(t-12)

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

We can solve the first equation for r to get r = 90/t

Then plug this into the second equation and do a bit of algebra

90 = (r+24)(t-12)

90 = (90/t+24)*(t-12)

90 = 90 - 1080/t + 24t - 288

90t = 90t - 1080 + 24t^2 - 288t

0 = 90t - 1080 + 24t^2 - 288t-90t

0 = 24t^2 - 288t - 1080

24t^2 - 288t - 1080 = 0

If you apply the quadratic formula, then you should get the two solutions t = -3 and t = 15. Due to time constraints, I'll skip these steps.

We'll ignore the negative t value. It makes no sense to have a negative time.

So we focus on t = 15 as the only solution.

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

If t = 15, then,

r = 90/t

r = 90/15

r = 6

Santos rode his bike at 6 mph at first. Going this speed means he takes 15 hours.

If he rode 24 mph faster, at 6+24 = 30 mph, then he would ride for 15-12 = 3 hours instead. Note that 90/30 = 3.


Related Questions

l

Use 3 for T.
6cm
V = Ten
V ~ [?]cm
3
5cm
Enter your answer in decimal form.
Helppp

Answers

Answer:

150cm^3

Step-by-step explanation:

The problem says to use 3 for pi so then you just plug everything into  the equation as 6=height and 5=radius

3*5^2*6=450

450/3=150

Answer:

...... The answer is 37.5cm³ , please ignore the handwriting...

What is the distance between (7,2) and (-3,2)?
A.8
B.12
C.4
D.10

Answers

Answer:

The answer is D

......(don't mind this it's because it says that it needs to be 20 characters long) but the answer is D

The answer is D (10)

Explanation:

Let (7, 2) be (x1, y1) and (-3, 2) be (x2, y2)

Using the Distance Formula,
d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
= sqrt[(- 3 - 7)^2 + (2 - 2)^2]
= sqrt[(-10)^2 + 0]
= sqrt[100]
= 10 units

Someone help please I need this Answer Immediately!!!!!!

Answers

Answer:

y = -1/2x - 4

Step-by-step explanation:

?????????????!!!!!!!!!

Answers

Answer:

B

Step-by-step explanation:

The answer is B
Hope this helps

Find h.
11 in.
h = [?] in
in.
14 in.
PLEASE OH PLEASE HELP ME IM DESPERATE

Answers

11^2 = h^2 + ( 14/2)^2

11^2 = h^2 + 7^2

121 = h^2 + 49

h^2 = 121 - 49

h^2 = 72

h = √72

Write the augmented matrix for the system of linear equations. (Do not perform any row operations.)
{x − y + 3z = 3
{9x − 4y + z = −1
{3x + y = 0

Answers

Step-by-step explanation:

Write the system of equations as an augmented matrix. Then solve for x and y.

3x+y=-11

-9x-3y=33

Using the figure, find the missing values. Round each value to the nearest whole number.

Answers

Answer:

44

14

19

47

Step-by-step explanation:

using trig functions

Kendall makes candles and sells them online. To make an Essential Elegance candle, she adds
3 drops of lavender and 6 drops of vanilla to a bowl of unscented wax. To make a Garden
Glory candle, she adds 4 drops of lavender and 10 drops of vanilla to the bowl instead. Which
candle has a greater ratio of lavender to vanilla?

Answers

Answer:

Essential Elegance Candle

Step-by-step explanation:

Ratios are Lavender:Vanilla

For the Essential elegance candle the ratio is 3:6 which can be simplified to 1:2 whereas the Glory Candle is 4:10 which can be simplified to 2:5 on either one the vanilla is the bigger number but in terms of ratio it would be the essential elegance since 1/2>2/5

Jenna is opening a clothing store. She plans to start by selling T-shirts. If it
costs her $7 for each shirt, $2 for ink per shirt, and $0.10 a bag, what is her
unit cost per shirt?
O A. $9.10
O B. $2.10
O c. $4.55
O D. $7.00

Answers

A)$9.10 $7.00+$2.00+$0.10=$9.10

Her unit cost per shirt is,

= $9.10

What is Addition?

The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.

Given that;

Jenna's unit cost per shirt is, $9.10

Here, We have;

Cost for each shirt = $7

Cost for ink per shirt = $2

Cost of a bag = $0.10

Hence, Cost of T-shirt is,

= Cost for each shirt + Cost for ink per shirt + Cost for bag

= $7 + $2 + $0.10

= $9.10

Thus, Her unit cost per shirt is,

= $9.10

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ5

pls help me solve this question

Answers

Answer:

1 . x 3 +  3 x 2 y  +  3 x y 2  +  y 3

2. x 3 -  3 x 2  y  +  3 x y 2  -  y 3

3. a + b

4 . a - b

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

HELP DUE IN 15 MINS!


x = ?? degrees

Answers

Answer:

VWU and FWT are vertical angles.

Their measure is same and:

VWU = 1/2(mVU + mFT)x = 1/2(174° + 52°)x = 113°

How to measure an angle

Answers

Answer:

You can use Protector' but dint have use this method:

Acute. Draw a vertical line connecting the 2 rays of the angle. To determine the number of degrees in an acute angle, connect the 2 rays to form a triangle. Line up the short end of your ruler with the bottom ray, then draw a vertical line intersecting the other ray using the long side of your ruler.

Of the first 52 contestants, exactly 12 contestants win the game. How does the actual number of winners compare to the expected number of winners? What needs to happen for the experimental probability to approach the theoretical probability? Explain

pls help me

Answers

Answer:

Expected number of winners with 52 contestants:52*5/13 = 20.The experiment result is almost twice less (12 vs 20).In order to change the results of experimental probability some of the letters may need swapped, (probably the letters are in alphabet order) but for this we need more data.

Step-by-step explanation:

Experimental probability is probability that is determined on the basis of the results of an experiment repeated many times. Theoretical probability is probability that is determined on the basis of reasoning. Probability is a value between (and including) zero and one.

also whats your discord

What’s the equation of the line in slope intercept form

Answers

Answer:

y = 1/7x + 3

Step-by-step explanation:

Graph

P1(-7,2)

P2(0,3)

m = y2-y1/x2-x1

m = (3-2)/(0-(-7))

m = 1/0+7

m = 1/7

y - y1 = m(x-x1)

y - 2 = 1/7*(x -(-7))

y-2 = 1/7*(x+7)

y = 1/7x+7*1/7+2

y = 1/7x+1+2

y = 1/7x+3

MIC UP YOU SCARED TO GET PACKED!!!!!!​

Answers

Answer:

lol huh...

Step-by-step explanation:

6,2, 2/3 Find the 8th term

Answers

Answer:

2/729

Step-by-step explanation:

2/3÷3 = 2/9

2/9÷3=2/27

2/27÷3=2/81

2/81÷3=2/243

2/243÷3=2/729

What are all possible values of x? (This is not a right triangle!)

Answers

Answer:

solution set for x = { 4,5,6}

Answer:

2<x<12

Step-by-step explanation:

Firstly, look at this formula-

a-b<x<a+b

If we make 7, A, and 5, B, then the formula would be 7-5<x<7+5

So after you do the math it would be 2<x<12

Hence, the answer is 2<x<12

BTW if the answer is correct then can you please mark me brainlyest?

I'm only 9 years old

Thanks!

find the value of x HELP PLS

Answers

Answer:

x=45

Step-by-step explanation:

both angles are opposite angles with the same measurements

Set your formula up as

x+30=2x-15

30=2x-15-x

45=x

Now substitute 45 in place of x

x+30

45+30 = 75

2x-15

2*45-15 = 75

2x - 15 = x + 30

2x - 15 + 15 = x + 30 + 15

2x = x + 45

2x - x = x - x + 45

x = 45

What is the probability that a randomly selected student who lives in Nebraska plans to stay in his or her home state after graduation? Round your answer to the nearest hundredth.

Answers

Answer:

[tex]P (Yes | Nebraska) = 0.10[/tex]

Step-by-step explanation:

Given

See attachment for contingency table

Required

[tex]P (Yes | Nebraska)[/tex]

From the contingency table, we have:

[tex]P (Yes\ n\ Nebraska) = 0.044[/tex]

[tex]P (No\ n\ Nebraska) = 0.400[/tex]

The required can be represented as:

[tex]P (Yes | Nebraska) = \frac{P(Yes\ n\ Nebraska)}{P(Nebraska)}[/tex]

Where

[tex]P (Nebraska) = P (No\ n\ Nebraska) +P (Yes\ n\ Nebraska)[/tex]

So, we have:

[tex]P (Nebraska) = 0.400 + 0.044[/tex]

[tex]P (Nebraska) = 0.444[/tex]

So, we have:

[tex]P (Yes | Nebraska) = \frac{P(Yes\ n\ Nebraska)}{P(Nebraska)}[/tex]

[tex]P (Yes | Nebraska) = \frac{0.044}{0.444}[/tex]

[tex]P (Yes | Nebraska) = 0.10[/tex] --- approximated

Does the table show growth or decay?

Answers

Answer:

growth because the numbers are clearly getting higher.

GROWTH

because each x theres more and more y

express (3-i)^2 in standard form

Answers

Step-by-step explanation:

=3^2- 2×3×i + i^2

=9- 6i + i^2

See the picture below

I need help please I dont get this

Answers

Answer:

Step-by-step explanation:

Since this is a 30-60-90 triangle, we need the Pythagorean triple for such a triangle. the side length across from the 30 degree angle is labeled as x, the side across from the 60 degree angle is x√3, and the hypotenuse is 2x. Since we know the side length of the side across from the 60 degree angle, we use that identity and solve for x:

[tex]x\sqrt{3}=18[/tex] and

[tex]x=\frac{18}{\sqrt{3} }[/tex] and rationalizing the denominator,

[tex]x=\frac{18}{\sqrt{3} }*\frac{\sqrt{3} }{\sqrt{3} }=\frac{18\sqrt{3} }{3}=6\sqrt{3}[/tex]

This is the side length of the side across from the 30 degree angle. In order to find the hypotenuse, we have to multiply this value by 2 to get

12√3, the third choice down.

What is the value of y in the diagram?
х
56°
у
29°

Answers

Answer:

2y+29+29 =360

2y +58 =360

2y. =360-58

2y. =302

y. =151

what number lies in between 18 and 24

Answers

Answer:

21

Step-by-step explanation:

24 - 18 = 6

6/2 = 3

18 + 3 = 21

Answer: 21

Step-by-step explanation:

18, 19, 20, 21, 22, 23, 24

1     2    3         3     2    1

21 is in the middle

In a class of students, the following data table summarizes how many students passed
a test and complete the homework due the day of the test. What is the probability that
a student chosen randomly from the class did not complete the homework?

Answers

Answer:

3/16

Step-by-step explanation:

The total number of students = no. of students passed + number of students who failed.

i.e, 13+3=16

probability = 3/16 = 0.1875

Hope u understand

Please mark as the brainliest

Thank You

please explain asap :(

Answers

Answer:

x = 40

Step-by-step explanation:

Both angles are opposites and will therefore have the same measurements.

Set your formula up as

142 = 3x + 22

142 - 22 = 3x

120 = 3x

120/3 = x

40 = x

You can also test this by placing 40 in place of x in your formula to check your work

3 * 40 + 22 = 142

tell the correct pls pls​

Answers

Answer:

True

False

True

Step-by-step explanation:

1. False (because m can be 0, it is n that cannot be 0 because it is the denominator)
2. False (They both contain the same variables, and so are like terms)
3. True (The equation is correctly written from the words)

A) 350 – 180 B) 468 – 257 C) 2,456 – 2,388 D) 986 – 799 E) 687 – 623A) 350 – 180 B) 468 – 257 C) 2,456 – 2,388 D) 986 – 799 E) 687 – 623v

Answers

Answer:

Whats ur quetsion?

please help me out !! i rlly need it!

Answers

So we want to use the Pythagorean a^2 + b^2 = c^2

The answer is explained in photo. B

What is the measure of A in the given figure?

Answers

The answer is 77 because 39+x=116
-39. -39
. ---------------

X= 77
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