Juwan went on a bike ride of 36 miles. He realized that if he had gone 15 mph faster, he would have arrived
10 hours sooner. How fast did he actually ride?

Answers

Answer 1

Step-by-step explanation:

Distance = (Rate)(Time) So, Time = (Distance)/(Rate)

Time at slower speed = Time at faster speed + 3

36/x = 36/(x+6) + 3

Multiply the equation by the LCD, x(x+6) to obtain:

36(x+6) = 36x + 3x(x+6)

36x + 216 = 36x + 3x2 + 18x

3x2 + 18x - 216 = 0

x2 + 6x - 72 = 0

(x + 12)(x - 6) = 0

x = -12 or x = 6

Since x can't be negative, x = 6 mph


Related Questions

Which of the following does NOT reveal the variation (spread) of the data? Check all that apply. Mean Mode Standard Deviation Range Median

Answers

Mean, mode and median does NOT reveal the variation (spread) of the data.

When analyzing data, the most sort for characteristics is the variation (spread) in the data.

The values of the data in a sample might be more closely near the mean in some data sets whereas in other data sets the values of the data might be spread out from the mean.

Common measure of variation or spread are the standard deviation, range, variance.

Find out more at: https://brainly.com/question/23754141

Help! This assignment is due at 7:00 and this is the last question!

Solve for all values of b in simplest form (delta math)
|6-3b|=4

Answers

Answer:

b=2/3, b=10/3

Step-by-step explanation:

first equation

6-3b=4

6=4+3b

3b=2

b=2/3

second equation

6-3b=-4

10=3b

b=10/3

paulita reads an average of 20 pages each day she has 6 days to read 10 pages will she finish her reading in 6 days explain?

Answers

Answer:

Yes

Step-by-step explanation:

If she is reading 20 pages a day, and needs to read 10 pages, then she needs half a day, and since she has 6 days, she can do this.

Given the following list of data, what is the five-number summary?
10, 12, 13, 13, 14, 16, 16, 18, 18, 18, 18

Answers

It would be 18 or if you added all of it up and then divided by that number and how many numbers you have
16 +14/2=30/2
The answer is 15

Express the division expression as a fraction in simplest form. Then, rewrite the fraction as a mixed number.
14 ÷ 4 ​

Answers

14/4 is simplified to 7/2 and as a mixed number it would be 3 1/2

Step-by-step explanation:

14 ÷ 4 is the same as the corresponding fraction (because a fraction is nothing else than a mini-division) :

14/4 = 7/2

and 7 divided by 2 is 3 with a remainder of 1. that means 1 time 1/2 remains as fraction.

so, the mixed number is

3 1/2

A rectangular garden is 16 feet wide. Its length is 8 feet more than twice the width. What is the area of the garden?

Answers

Answer:

640 ft²

Step-by-step explanation:

Hi there!

We're given:

Width = 16

Length = 2 x Width + 8

Solve for the length:

l = 2(16)+8

l=32+8

l=40

Therefore, the length of the garden is 40 ft.

To find the area, multiply the length and width:

A = lw

A = (16)(40)

A = 640 ft²

I hope this helps!

andi did a test. the test had 20 questions. for each correct answer he gains 5 points and if he errs he loses 2 points. andy answers the questions and at the end is evaluated with 51 points. what is the number of his correct answers?

Answers

Answer:

10.2

Step-by-step explanation:

because 51 divide by 5 is 10.2 i am not sure

I guess it’s 10.2 because 1q=10 marks
And 10q = 50 marks
So may be 10 or 10.2 is the correct ans
Hope this may help u

Darryl deposits $1,500 into a savings account that has a simple interest rate of 2.7%.
Lori deposits $1,400 into a savings account that has a simple interest rate of 3.8%.
If no other transactions are made, who will have more money in their account after 10 years? How much more?

Answers

Answer:

12

Step-by-step explanation:

Which expression represents 81 decreased by an unknown number?


81÷a

81a

81−a

81 + a

Answers

Answer:

81 - a

Step-by-step explanation:

Decreased

means to subtract

81 –

by an unknown number

means a variable such as a or x

therefor

81 – a

–42 >7f +3 what is f

Answers

Answer:

[tex]\displaystyle f < \frac{-45}{7}[/tex]

General Formulas and Concepts:

Algebra I

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify.

[tex]\displaystyle -42 > 7f + 3[/tex]

Step 2: Solve for f

[Subtraction Property of Equality] Subtract 3 on both sides:                        [tex]\displaystyle -45 > 7f[/tex][Division Property of Equality] Divide 7 on both sides:                                  [tex]\displaystyle \frac{-45}{7} > f[/tex]Rewrite:                                                                                                             [tex]\displaystyle f < \frac{-45}{7}[/tex]

Topic: Algebra I

Unit: One-Variable Equations

The graph of f(x) = x² is transformed to create the graph of g(x) = f(x + 6). Which
statement is true?
A The graph of g(x) reflects the graph of f(x) across the x-axis.
B The graph of g(x) reflects the graph of f(x) across the y-axis.
CThe vertex of the graph of g(x) is 6 units to the left of the vertex of the graph of f(x).
DThe y-intercept of the graph of g(x) is 6 units above the y-intercept of the graph of f(x).

Answers

Answer:

Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=-f\left(x\right)g(x)=−f(x) is a vertical reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about (or over, or through) the x-axis.

Given a function \displaystyle f\left(x\right)f(x), a new function \displaystyle g\left(x\right)=f\left(-x\right)g(x)=f(−x) is a horizontal reflection of the function \displaystyle f\left(x\right)f(x), sometimes called a reflection about the y-axis.

Step-by-step explanation:

The half-life of radium is 1690 years. If 80 grams are present now, how much will be present in 870 years?
grams

Answers

Answer:

A(t) = amount remaining in t years

= A0ekt, where A0 is the initial amount and k is a constant to be determined.

Since A(1690) = (1/2)A0 and A0 = 80,

we have 40 = 80e1690k

1/2 = e1690k

ln(1/2) = 1690k

k = -0.0004

So, A(t) = 80e-0.0004t

Therefore, A(430) = 80e-0.0004(430)

= 80e-0.172

≈ 67.4 g

Step-by-step explanation:

hope it helpful for you ❤️

-15(-4)
pls solve, this is page 237 in 7th grade math book, problem 2

Answers

The answer is -19!

Hope this helps! :)

Answer: 60

Step-by-step explanation:

The negatives cancel each other out and you are left with 15 times 4

The graphs of f(x) = 3x − 2 and g(x) = 2(1.2)x are shown here. Select the table that correctly shows the most accurate approximate value of x for f(x) = g(x).

Answers

f(x)=3x-2g(x)=2(1.2)x=2.4x

Graph of functions attached

x=0.33

Use the drop down to chose the inequality that makes each statement true. A. -17 - 8 B. -27 - -32 C. 110 - -212 D. -432 - 375

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textsf{Guide \#1}\huge\boxed{\downarrow}\\\\\large\text{2 negatives = [\bf positive]}\\\large\text{2 positives = \bf [positive]}\\\large\text{1 positive \&1 negative = \bf [negative]}\\\large\text{1 negative \& 1 positive = \bf [negative]}[/tex]

[tex]\huge\textsf{Guide \#2 }\huge\boxed{\downarrow}\\\large\text{Negatives are BELOW 0.}\\\large\text{Positives are ABOVE 0.}[/tex]

[tex]\huge\textsf{Guide \#3 }\huge\boxed{\downarrow}\\\large\text{Positives are on the RIGHT side of the number line.}\\\large\text{Negatives are on the LEFT side of the number line.}[/tex]

[tex]\huge\textsf{Guide \#4 }\huge\boxed{\downarrow}\\\large\text{Positives are bigger than 0}\\\large\text{Negatives are smaller than 0.}[/tex]

[tex]\huge\text{Answering \textsf{your question(s)....}}[/tex]

[tex]\huge\textsf{Option A.}\\\\\large\text{-17 - 8}\\\large\text{= \bf -25}[/tex]

[tex]\huge\textsf{Option B.}\\\large\text{-27 - -32}\\\large\text{= -27 - (-32)}\\\large\text{= -27 + 32}\\\large\text{= \bf 5}[/tex]

[tex]\huge\textsf{Option C.}\\\large\text{110 - -212}\\\large\text{= 110 - (-212)}\\\large\text{= 110 + 212}\\\large\text{= \bf 322}[/tex]

[tex]\huge\textsf{Option D.}\\\large\text{-432 - 375}\\\large\text{= \bf -807}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\large\boxed{\frak{Amphitrite1040:)}\ \bf \heartsuit}[/tex]

Please help me solve this asap.
(step by step explanation)

Answers

First off, we see the y-intercept is at (0, 240), allowing us to eliminate F and H.

Then we look for the slope: the line decreases from 240 to 210 (a change of -30) when traveling 300 miles (a change of 300). Since the slope is rise over run, we have -30/300=-1/10.

Therefore, the correct answer is J.

write an equation of the line below

Answers

Answer:

y=-x-2

Step-by-step explanation:

The slope is negative 1 and the y intercept is -2

what is 2/7 divided by 4

Answers

I think the awnser would be 2/28

Answer:

2/7 ÷ 4= 2/7 × 1/4

=2/28

...................................

8. A bamboo plant is 10 centimeters tall at noon and grows at a rate of 5 centimeters every 2 hours. The height (in centimeters) is a function h(t) of the time t it grows. When will the plant be 20 centimeters tall?​

Answers

Answer:

in 10 hours

Step-by-step explanation:

Answer: 4 hours

Step-by-step explanation: since the plant is already 10 centimeters, and it grows five centimeters every two hours, it only needs four hours to grow another 10 centimeters for it to be 20 centimeters.

Evaluate each expression.
12
N
3
(2511)
-
DONE

Answers

Answer:

1/5

Step-by-step explanation:

[tex](25^{-3/2})^{1/3} = 25^{-3/2*1/3} = 25^{-1/2}=5^{-1/2*2}=5^{-1}=1/5[/tex]

Let's evaluate the expression,

→ (25^-3/2)^1/3

→ 25^-3/2×1/3

→ 25^-3/6

→ 5^-1/2×2

→ 5^-1 {or} 1/5

Hence, the answer is 1/5.

Help me pls it's hard :(

Answers

Answer:

[tex]\huge\colorbox{blue}{A}\huge\colorbox{orange}{N}\huge\colorbox{gray}{S}\huge\colorbox{red}{W}\huge\colorbox{yellow}{E}\huge\colorbox{purple}{R}[/tex]

hitsss

Tell whether the sequence is arithmetic. If it is, what is the common difference?
2, 7, 13, 20...

a. yes; 5
b. yes; 6
c. yes; 2
d. no

Answers

Answer:

No

Step-by-step explanation:

7 - 2 = 5

13 - 7 = 6

20 - 13 = 7

b
b. (2x) + +
)
(2x3/4)+1/4=

Answers

Answer:

Exact Form:

7/4

Decimal Form:

1.75

Mixed Number Form:

1 3/4

Step-by-step explanation:

To add fractions, find the LCD and then combine.

A special cereal mixture contains rice and wheat in the ratio of 2:3. If a bag of the mixture contains 3 pounds of rice, how much wheat does it contain?

Answers

9514 1404 393

Answer:

  4.5 lb

Step-by-step explanation:

The ingredients are proportional so ...

  wheat/rice = 3/2 = ??/3 lb

Multiplying by 3 lb gives ...

  ?? = (3 lb)(3/2) = 9/2 lb = 4.5 lb

The mixture contains 4.5 lb of wheat.

_____

Additional comment

Writing the proportion with the unknown in the numerator makes it possible to find the solution in one step (multiply by the denominator). Any proportion can be written 4 different ways, so you can always choose one that makes the solution easy. (upside down and sideways)

  a/b = c/d   ⇔   b/a = d/c   ⇔   a/c = b/d   ⇔   c/a = d/b

Write the expression that represents the sum of
double a number and triple a number.

Answers

Answer: let x = the "number"

2x + 3x is the expression

Step-by-step explanation:

Which equation represents a line that is parallel to the line 4x-3y=15
1) y = -4/3x - 4
2) y = -3/4x - 2
3) y = 4/3x + 2
4) y = 3/4x - 6

Answers

Answer:

1

Step-by-step explanation:

because... it is

What is the minimum of the sinusoidal function?

Enter your answer in the box.

Answers

Answer:

The minimum is 1

Step-by-step explanation:

1 is the lowest point of the function so that's your answer (:

The minimum of the sinusoidal function is 1.

Function

The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.

Trigonometry

Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.

Right angle triangle

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.

Given

y = 2sin(x + ∅) + 3 is a function

To find

The minimum of the sinusoidal function.

How to find the minimum of the sinusoidal function?

y = 2sin(x + ∅) + 3 is a function is given

For the minimum value of sin(x + ∅) = -1, then

y = 2(-1) + 3

y = -2 + 3

y = 1

Thus the minimum of the sinusoidal function is 1.

More about the function link is given below.

https://brainly.com/question/5245372

The first factor has a degree of
2
.
The second factor has a degree of
3
.
The third factor has a degree of
.
The product has a degree of
.

Answers

Answer:

first = 2,second= 3

Step-by-step explanation:

F*s= 2*3

= 6

Calculate SP (the sum of products of deviations) for the following scores. Note: Both means are whole numbers, so the definitional formula works well: X Y 4 5 0 2 1 1 3 4

Answers

Applying the formula, it is found that the SP for both numbers is of 7.

The first step is finding the mean for both sets, hence:

[tex]M_x = \frac{4 + 0 + 1 + 3}{4} = 2[/tex]

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

Then, the SP(sum of products of deviations) is the sum of the multiplications between each value x and the mean, with each respective value of y(same index) and the mean, hence:

[tex]SP = (4 - 2)(5 - 3) + (0 - 2)(2 - 3) + (1 - 2)(1 - 3) + (3 - 2)(3 - 4) = 7[/tex]

The SP for both numbers is of 7.

A similar problem is given at https://brainly.com/question/20640860

Serena has 24 apps on her tablet. Of these apps, 6 are games. What percent of Serena's apps are games?​

Answers

Answer:

25%

Step-by-step explanation:

Like and give 5 star rating

Mark brainllest please

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