On skates, Ian can travel `\frac{3}{4}`of a mile in 5 minutes. On his bike, he can travel `3\ \frac{1}{2}`miles in 12 minutes. How fast, in miles per hour, can Ian travel on skates AND on his bike?

Answers

Answer 1

Answer:

a) 9 miles/hour

b) 17.5 miles/hour

Step-by-step explanation:

The formula for speed = Distance (Miles) / Time(hours)

a) he can travel 3/4 of a mile in 5 minutes.

= 3/4 miles = 5 minutes

We convert 5 minutes to hour

= 60 minutes = 1 hour

5 minutes = x

Cross Multiply

60x = 5

x = 5/60

x = 1/12 hour

Hence, his skate speed =

3/4miles /1/12 hour

= 3/4 ÷ 1/12

= 3/4 × 12/1

= 9 miles/hour

b) On his bike, he can travel 3 1/2 miles in 12 minutes.

= 3 1/2 = 12 minutes

= 7/2 miles = 12 minutes

We convert 12 minutes to hour

= 60 minutes = 1 hour

12 minutes = x

Cross Multiply

60x = 12

x = 12/60

x = 1/5 hour

Hence, his skate speed =

7/2 miles /1/5 hour

= 7/2 ÷ 1/5

= 7/2 × 5

= 35/2 miles/hour

= 17.5 miles/hour


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y=5/2x-4

Step-by-step explanation:

Proportional or non-Proportional

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Answer:

A. proportional

Step-by-step explanation:

Non proportional because it doesn’t have a pattern

Which postulate or theorem would you use to prove triangle MXQ congruent to triangle PXN

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Answer:

H) SAS

Step-by-step explanation:

you would find the measure of angle MXQ and angle NXP using the vertical angles theorem which states that all vertical angles are congruent. now you have 2 sides and an included angle. hope this helps!!

Anyone please help me please I will pray for you I’m crying Ron I’m trying my hardest to answer I can’t please anyone help

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Answer: Joanna will have 275.4 and Zinaya will have 360.

Joanna Equation: 1,530 x .06 = 91.8
91.8 x 3 = 275.4

Zinaya Equation: 1,500 x .08 = 120
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Hope this helps!!

Which statement is true about solving absolute value equations

Answers

Answer:

This sounds like it's a multiple choice question but you didn't include the possible answers. If it helps, you ignore the sign (negative or positive) of each number in an absolute value equation because the absolute value is essentially the number's distance from zero (for example, the absolute value of 7 is 7, and the absolute value of -7 is also 7 because both the negative and positive number are 7 numbers from 0)

(5-4) - 10 = 5 - (4 - 10)
O A. True
OB. False

Answers

Answer:

B. False

Step-by-step explanation:

Answer:

The equation is false.

Step-by-step explanation:

5−4−10  = 5−(4−10)

−9≠11

False

When adding 32.83 to a certain number, the sum is 37.63, as seen below. What number should go in the box to complete the addition problem?

The decimal 32.83 is added to an unknown whole number and 8 tenths to equal 37.63.

2
3
4
5

Answers

Answer:

4.

Step-by-step explanation:

32.83 + 0.8 = 33.63

37.63 - 33.63 = 4.

Answer:

The answer is the 3rd option/C, 4

Step-by-step explanation:

ME SMART

IM GIVING BRAINLIEST
A painter places a ladder against a house. The base of the ladder is 4 ft from the house
and the ladder touches the house 12 ft above the ground. How long is the ladder?

Answers

See Below (Process and answer)

Please Helpppppppppp!!!!!!!!!!!!!!!

Answers

Answer:

122/3435.35/67

Step-by-step explanation:


PLEASE SOMEONE HELP I TRULY DO NOT UNDERSTAND
Find F^-1(x), the inverse of F(x).

f(x)-9x^3-4
Show your work please because I don’t understand.

Answers

9514 1404 393

Answer:

  [tex]f^{-1}(x)=\dfrac{\sqrt[3]{3x+12}}{3}[/tex]

Step-by-step explanation:

For function ...

  [tex]y=f(x)[/tex]

sometimes we know y, but we want to find the corresponding value x. That is, we would like to have an inverse function:

  [tex]x=f^{-1}(y)[/tex]

Here, I have said the input to the inverse function is the value of y for which we want the corresponding value of x.

__

Normally, we write the inverse function basically the same way we write the function. The input is named x, and the output is named y. We can swap the variable names for input and output either before or after we find the equation that relates them.

Perhaps you can see that finding the inverse function

  [tex]x=f^{-1}(y)[/tex]

amounts to solving the function relation y = f(x) for x. If we interchange variables first, it is the same as solving x = f(y) for y.

__

To find the inverse, we can interchange the variables and solve for y.

  [tex]x=f(y)=9y^3-4\\\\x+4=9y^3\qquad\text{add 4}\\\\\dfrac{x+4}{9}=y^3\qquad\text{divide by 9}\\\\\dfrac{3x+12}{27}=y^3\qquad\text{make the denominator a cube; multiply by 3}\\\\y=\dfrac{\sqrt[3]{3x+12}}{3}\qquad\text{take the cube root}\\\\\boxed{f^{-1}(x)=\dfrac{\sqrt[3]{3x+12}}{3}}[/tex]

_____

The graph of the inverse of a function is the reflection of the graph of the function across the line y=x. The given function and the inverse we found are graphed in the attachment. The dashed line is y=x.

If two polygons are similar, then the corresponding angles must be...??

Answers

Answer:

similar? im not sure :]

Step-by-step explanation:

Answer:

They should be congruent

Step-by-step explanation:

Sides are similar angles are congruent :)

A tree is 212 feet tall. How tall will it be in 3 years if it grows 14 foot each year?

Answers

answer
254 feet
explanation
212 + (14 x 3)

HURRY I AM TIMED !!!!

what is the value of expression for -16 plus 12 ??

Answers

Answer:

your answer is negative -4

Step-by-step explanation:

you can use a number line and go forward 12 times starting at -16.

-16+12=--4

brainliest please? have a geat day

Nelly has to choose between two different accounts for an investment of $500. Both accounts
earn 4% but have different compounding periods, continuous versus annual.
Comparing continuous compounding to annual compounding, which method will grow the
account to $1000 faster and by how many years?
MGSR9-12FBFS
A. Continuous compounding; by.35 years
C. Continuous Compounding by 10.2 years
B. Annual Compounding, by.15 years
D. Annual Compounding; by.35 years

Answers

Answer:

A. continuous compounding by 35 years

Someone please help
I will give brainliest

Answers

Volume = base area x height.

Volume = 98.9 x 8.6

Volume = 850.5 cubic meters.

Answer:

Solution :-

As we know that

[tex] \tt \: Volume = base \: area \times height[/tex]

[tex] \tt \: Volume = 98.9 \times 8.6[/tex]

[tex] \tt \: Volume = 850.5 \: cubic \: m[/tex]

Which statement about numbers is true?
O All whole numbers are rational numbers.
O All rational numbers are integers.
O All rational numbers are whole numb
O All integers are whole numbers.

Answers

Answer:        All whole numbers are rational numbers

HOPE IT HELPED U,

PLS MARK AS THE BRAINLIEST

^_^

I will give 100 points if you can help me
(5x^3+3x^2+1)-(2x^3-x^2+3)
Please show all work and explain

Answers

Answer:

3x ^3  +4x^2  −2

Step-by-step explanation:

STEP

1

:  Equation at the end of step 1

 (((5•(x3))+(3•(x2)))+1)-((2x3-x2)+3)

STEP  2  Equation at the end of step

 (((5•(x3))+3x2)+1)-(2x3-x2+3)

STEP  3  :

Equation at the end of step

 ((5x3 +  3x2) +  1) -  (2x3 - x2 + 3)

STEP

4:

Polynomial Roots Calculator :

4.1    Find roots (zeroes) of :       F(x) = 3x3+4x2-2

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  3  and the Trailing Constant is  -2.

The factor(s) are:

of the Leading Coefficient :  1,3

of the Trailing Constant :  1 ,2

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -1.00      

     -1       3        -0.33        -1.67      

     -2       1        -2.00        -10.00      

     -2       3        -0.67        -1.11      

     1       1        1.00        5.00      

     1       3        0.33        -1.44      

     2       1        2.00        38.00      

     2       3        0.67        0.67    

Hope This Helps

Imagine telling a guy you liked him. He tells you he has feelings for you but he likes your best friend. But, your best friend likes your older brother. What do you do?

Answers

Answer:get with your older brother

Step-by-step explanation:

Answer:

that doesnt make sense you can't like 2 people at the same time. dont waste your time. find better :)

If i can answer 50 questions in 20 mins how many answers could i answer in 12 mins

Answers

Answer:

50÷20=2.5

12×2.5=30

so you can answer 30 questions in 12 minutes

i hope this helped

Step-by-step explanation:

Solve the system of equations by the substitution method.
12x + 6y= 15
- 2x=y+4

Answers

Answer:

there is no solution to this problem  

Step-by-step explanation:

Answer:

12x + 6y = 15

-2x = y + 4 -------->   0 = 2x + y + 4  ------>  -y = 2x + 4 -------> y= -2x -4

12x + 6 ( -2x - 4 ) = 15

12x -12x - 24 = 15

-24 = 15

No solutions

Step-by-step explanation:

-24 does not equal 15 so this problem has no solutions.

HELP HELP HELP WILL GIVE BRAINLIEST

Answers

Answer:

Put one of the dots on (0, -3) and put the other one 3 below and 2 to the right of (0, -3)

Step-by-step explanation:

slope= -3/2

y intercept= (0,-3)

what kind of lines are shown in the picture below?
Answers:
A. Parallel
B.intersecting
C. Skew
D.perpendicular

Answers

Answer:

B. Intersecting

Step-by-step explanation:

If you were to extend the lines, they would cross eachother

The given lines are intersecting.

What are intersecting lines?

When two or more lines cross each other in a plane, they are called intersecting lines. The intersecting lines share a common point, which exists on all the intersecting lines, and is called the point of intersection.

As, from the figure we can see that the line p and q are not parallel to each other because the distance between them is not constant.

Now, the lines are not either skew or perpendicular.

If we extend the lines p and q then will meet at some point which is know as intersecting lines.

Learn more about intersecting lines here:

https://brainly.com/question/14217061

#SPJ5

are 48 boys in the sixth grade. The number of girls in the sixth grade is 56.
says the ratio of the number of boys to the number of girls in the sixth grade is 8: 7.
mine if Emma is correct.
ma is correct, explain how she arrived at the answer.
e is not correct, determine the correct ratio of boys to girls.
chnad to show your work

Answers

Answer:

6:7

Step-by-step explanation:

emma is not correct since the number of boys are 48 and the girls are56

ratio of boys to girls

48:56

24:28

12:14

6:7

hence the ratio is 6:7

someone help me fast its due at 8 pm

Answers

Answer:

Eric's statement is false.

Step-by-step explanation:

When a positive and a negative number is added, pay attention to what number has a greater absolute value. If the positive number is greater, then the answer will be positive. In the negative number is greater, then the answer will be negative. For example, 23 + (-4) is going to end up as a positive sum, since 23 has a greater absolute value than -4. On the other hand, (-23) + 4 is going to end up as a negative number since -23 has a greater absolute value than 4.

How many integers are there between -3.74 and 5.2?

Answers

Answer:

I want to say 4, hope this is correct

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

The blueprint of a fishing pier uses a scale of 1/8 inch = 5 feet. If the pier is 3 19/4 inches long on the blueprint, find its actual length.

pls!

Answers

Answer:

190

Step-by-step explanation:

1/8= 5 ft

19/4 = 38/8

38/8 = 38*5 = 190 feet


The graph of the function
m(x) = x^3 + 3x^2 - 2x - 4
has a zero at -1. What are the
other zeros of the function?

Answers

Answer: -1 + or - root5

Step-by-step explanation:

The other zeros of function m(x) = x^3 + 3x^2 - 2x - 4 are x = 2, x = -2

Zero of a function:

To find the zero of a function f(x), we need to find the value of f(0).

What is trinomial?

"A trinomial is a polynomial consisting of three terms."

For given question,

Given function : m(x) = x^(3) + 3x^(2) - 2x - 4

We need to find the zeros of a function.

to find the value of x for which m(x) = 0

x^(3) + 3x^(2) - 2x - 4 = 0

We know, x = -1 is a zero of given function.

So, (x + 1) is the factor of given trinomial x^(3) + 3x^(2) - 2x - 4 = 0.

To factorize above trinomial we divide it by x + 1.

Using synthetic division,

m(x)/(x + 1)

= (x^(3) + 3x^(2) - 2x - 4)/(x + 1)

= x^(2) + 2x - 4

So, x^(3) + 3x^(2) - 2x - 4 = (x + 1)(x^(2) + 2x - 4)

Now, to find other zeros of a function we solve the quadratic equation x^(2) + 2x - 4 = 0

⇒ x^(2) + 4x - 2x - 4 = 0

⇒ x(x + 2) - 2(x + 2) = 0

⇒ (x + 2)(x - 2) = 0

⇒ x + 2 = 0 or x - 2 = 0

x = -2 or x = 2

This means, x = -2 and x = 2 are other zeros of a function.

Learn more about zero of a function:

https://brainly.com/question/4737570

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HELP PLEASE
8y-(8+6y)=20

Answers

Answer:  Y= 14

Step-by-step explanation: The screen shot is the anwser too just in case you have t show your work mark me  please  

I hope this helped!

Answer:

y=14

Step-by-step explanation:

8y-(8+6y)=20

8y - 8 - 6y = 20

2y - 8 = 20

2y = 20 + 8

2y = 28

y = 14

What is the greatest common factor of 16 and 24? ​

Answers

Answer:

8

S-by-step explanation:

Answer:

There are three 2's common to both numbers, so 2*2*2 = 8 is the "greatest common factor" (GCF) of 16 and 24.

What number is 0.4% of 40


Thank you so much

Answers

It is 0.16 correct me if I’m wrong
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