On roller-skates, Ian can travel 3/4 of a mile in 5 minutes. On his bike, he can travel 3 1/2 miles in 12 minutes. How fast, in miles per hour, can Ian travel on roller skates and on his bike?
Answer:
Roller skates speed = 9 miles per hour
Bike speed = 17.5 miles per hour
Step-by-step explanation:
On roller-skates, Ian can travel 3/4 of a mile in 5 minutes.
Speed = Distance(miles)/Time(hours)
Convert 5 minutes to hour
60 minutes = 1 hour
5 minutes = 5/60
= 1/12 hour
Hence, his speed =
3/4mile ÷ 1/12
= 3/4 × 12/1
= 9 miles per hour
On his bike, he can travel 3 1/2 miles in 12 minutes.
Convert 12 minutes to hour
60 minutes = 1 hour
12 minutes = 12/60 = 1/5
Hence, his speed =
3 1/2 mile ÷ 1/5
= 7/2 ÷ 1/5
= 7/2 × 5/1
= 35/2 miles per hour
= 17.5 miles per hour
Solve 126 = 14x
*Only enter the number for what x = in the box*
Answer:
x = 9
Step-by-step explanation:
divide both sides by 14
Answer: x = 9.
Step-by-step explanation: Step 1: Flip the equation.
14x=126
Step 2: Divide both sides by 14.
14x /14
=
126 /14
x=9
Without graphing, determine whether the function represents exponential growth or exponential decay. Then find the y-intercept.
A. Exponential growth; 4
B. Exponential decay; 4
C. Exponential growth; 0
D. Exponential decay; 5
I will give brainliest to the correct answer!
Answer:
Exponential decay; 4
Step-by-step explanation:
This represents exponential decay, because the number which is being raised to the power x is less than one. This means that as x increases, y decreases.
The y-intercept occurs when x is equal to zero. When x = 0, we have [tex]y = 4(5/6)^0 = 4(1) = 4[/tex], so the y-intercept is 4.
Answer:
Now you can give the other person brainliest
Pls help will give brainlest answer
Answer:
220
Step-by-step explanation:
because i divided 1,760 by 8 i needed to find how many penguin dives in 2 minutes Hope this Helps!
Explain the difference in meaning between 10 x 4 + 5 and 10 x (4 + 5)
Answer:
10x4+5
40+5
45
10x(4+5)
10x(9)
90
Step-by-step explanation:
Answer:
-
Step-by-step explanation:
10 x 4 + 5 means that you multiply first, then add as per PEMDAS
10 x (4 +5) means that you add first, then multiply.
Find the two number who sum is 13 and whose product is 40
Answer:
A = 8 and B = 5
Brainly pls
Step-by-step explanation:
Suppose you want to prove the converse of the Pythagorean Theorem by drawing two triangles. If
one of the triangles has side lengths of m, n, and p, such that m² + n2 = pº what should
be the lengths of the sides that form a 90-degree angle in the second triangle?
А
m and n
B
m and p
С
n and p
D
p and p
Answer:
a
Step-by-step explanation:
The sides of the right angle that form 90° will be 'm' and 'n'. Then the correct option is A.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
"In the event that the square of a side is equivalent to the amount of the square of the other different sides, then triangle should be correct point triangle".
The Pythagoras theorem formula is given as
H² = P² + B²
Assume you need to demonstrate the opposite of the Pythagorean Hypothesis by drawing two triangles.
If one of the triangles has side lengths of m, n, and p, such that m² + n² = p².
Then the sides of the right angle form 90° will be 'm' and 'n'. Then the correct option is A.
More about the Pythagoras theorem link is given below.
https://brainly.com/question/343682
#SPJ2
6 ( − 2.1 x − 2 ) + ( 7 x + 5 )
Answer: −5.6x −7
Step-by-step explanation:
PLEASE HELP 20 PTS i need it quick!
Answer:
B. 6 + 0.2x
Step-by-step explanation:
One fifth = 1/5 = 0.2One fifth of x = 0.2xSum of 6 and one fifth of x = 6 + 0.2xI hope this helps!
Answer:
I think it is C
Step-by-step explanation:
if I am wrong I am soooo sorry
Let’s say you go to the store and you want to buy cheese and you find out for 1 pound it’s $3.10 and you buy 2.3 pounds. What is the cost?
A package of 4 pairs of insulated gloves costs $25.96 What is the unit price of the pairs of gloves?
Answer:
Step-by-step explanation:
25.96/4 = 6.49
Answer:
$6.49 per pair of gloves
Step-by-step explanation:
$25.96 / 4 pairs of gloves = $6.49 per pair of gloves
the slope of the line whose equation is x+y=6
The local newspaper has letters to the editor from 80 people. If this number represents 4percent of the newspaper's readers, how many does the newspaper have?
Answer:
2000 newspaper readers
Step-by-step explanation:
Let the total number did newspaper readers the local news paper has be represented by x
Therefore,
4% of x = 80 people
Hence,
4/100 × x = 80
4x/100 = 80
Cross Multiply
4x = 100 × 80
4x = 8000
x = 8000/4
x = 2000 people
Therefore, the number of people the newspaper has is 2000 newspaper readers
8 women and 12 girls can paint a large mural in ten hours. 6 women and 8 girls paint it in 14 hours. Find the time it takes 1 woman to paint it alone
Answer:
280 hours
Step-by-step explanation:
Three friends said their heights were 5 and start fraction 13 over 30 end fraction feet, 5 and one-sixth feet, and 5 and start fraction 68 over 90 end fraction feet. Put the heights of the friends in order from least to greatest. A. 5 and start fraction 68 over 90 end fraction < 5 and start fraction 13 over 30 end fraction < 5 and one-sixth B. 5 and start fraction 13 over 30 end fraction <5 and one-sixth <5 and start fraction 68 over 90 end fraction C. 5 and one-sixth <5 and start fraction 68 over 90 end fraction < 5 and start fraction 13 over 30 end fraction D. 5 and one-sixth <5 and start fraction 13 over 30 end fraction< 5 and start fraction 68 over 90 end fraction
Answer:
[tex]5\frac{1}{6} < 5\frac{13}{30} < 5\frac{68}{90}[/tex]
Step-by-step explanation:
Represent the friends with A, B and C
[tex]A = 5\frac{13}{30}[/tex]
[tex]B = 5\frac{1}{6}[/tex]
[tex]C = 5\frac{68}{90}[/tex]
Required
Order from least to highest
First, we convert the given parameters to decimal
[tex]A = 5\frac{13}{30}[/tex]
[tex]A = 5 + \frac{13}{30}[/tex]
[tex]A = 5 + 0.43[/tex]
[tex]A = 5.43[/tex]
[tex]B = 5\frac{1}{6}[/tex]
[tex]B = 5 + \frac{1}{6}[/tex]
[tex]B = 5 + 0.17[/tex]
[tex]B = 5.17[/tex]
[tex]C = 5\frac{68}{90}[/tex]
[tex]C = 5 + \frac{68}{90}[/tex]
[tex]C = 5 + 0.76[/tex]
[tex]C = 5.76[/tex]
So, we have:
[tex]A = 5.43[/tex] [tex]B = 5.17[/tex] [tex]C = 5.76[/tex]
Order from least to greatest
[tex]B = 5.17[/tex] [tex]A = 5.43[/tex] [tex]C = 5.76[/tex]
Replace them with the original values
[tex]B = 5\frac{1}{6}[/tex] [tex]A = 5\frac{13}{30}[/tex] [tex]C = 5\frac{68}{90}[/tex]
Hence, the correct order is:
[tex]5\frac{1}{6} < 5\frac{13}{30} < 5\frac{68}{90}[/tex]
Answer:
The answer is 5235 5521 2356
Step-by-step explanation:
Identify whether each set of ordered pairs is a function or is not a function.
Answer:
Step-by-step explanation:
To be a function, the x or first number of the pairs can not duplicate. It needs to pass the vertical line test.
A. not a function
B. function
C. function
D. not a function
E. not a function
Plz help. Write an equation of the line
y=mx+b format
in the diagram <4 = <40 °. Find the measure of <3 = (?)°
Answer:
∠3=140°
Step-by-step explanation:
∠4 = 40°
∠3 + ∠4 = 180° (co-exterior angles are equal)
∠3 + 40° = 180°
∠3 = 180° - 40°
∠3 = 140°
[tex]or^{}[/tex]
∠2 = ∠4 = 40° (corresponding angles)
∠3 + ∠2 = 180° (linear pair)
∠3 + 40° = 180°
∠3 = 180° - 40°
∠3 = 140°
hope you understood
2+2=FISH????????????? XD
Answer:
correct answer is 4 fish
Step-by-step explanation:
4 is the perfect number
Answer:
Yes
Step-by-step explanation:
Here is an ugly drawing of it......
Given the function f(x) = x^2, which of the following represents a vertical shift of 3 units up?
9514 1404 393
Answer:
f(x) = x² +3
Step-by-step explanation:
The transformation
g(x) = a·f((x -c)/b) +d
represents a vertical expansion by a factor of 'a', a horizontal expansion by a factor of 'b' (before the horizontal shift), a horizontal (right) shift by 'c' units, and an upward shift by 'd' units.
You want only an upward shift of 3, so ...
g(x) = f(x) +3
For f(x) = x^2, the shifted function is ...
f(x) = x^2 +3
__
Other choices are ...
b. (x -3)^2 = right shift by 3
c. 3x^2 = vertical expansion by a factor of 3
d. (x +3)^2 = left shift by 3
Amaya is reviewing her checking account statement from the bank. Her starting balance and transactions are listed.
Starting balance of $97.13
Spent $63.27 at Food Lion
Deposit from work of $415.80
Lunch at Tropical Smoothie for $12.85
Withdrawal of cash at the ATM of $60.00
If reconciled, her bank statement and personal records should have current balance of $
Answer:
376.81
Step-by-step explanation: 376.81
what is 10/3 divided by 2/3
Answer:5
Step-by-step explanation:
pretty easy! help pls!
Answer:
ok C
Step-by-step explanation:
Which statements are true about triangle ABC and its translated image, A'B'C'? Select two options.
> The rule for the translation can be written as T–5, 3(x, y).
>The rule for the translation can be written as T3, –5(x, y).
>The rule for the translation can be written as
(x, y) → (x + 3, y – 3).
>The rule for the translation can be written as
(x, y) → (x – 3, y – 3).
>Triangle ABC has been translated 3 units to the right and 5 units down.
Answer:
Option (2) and Option (5)
Step-by-step explanation:
Blue triangle ABC has been translated to form the image triangle A'B'C' (in red).
Let take a point A of ΔABC,
Coordinates of point A → (-1, 3)
Coordinates of point A' → (2, -2)
Rule for the translation will be,
A(-1, 3) → A'(2, -2)
A(-1, 3) → A'(-1 + 3, 3 - 5)
A(x, y) → A'(x + 3, y - 5)
[tex]T_{3, -5}(x, y)[/tex]
ΔABC has been translated 3 units to the right and 5 units down.
Therefore, Option (2) and Option (5) will be the correct options.
Answer:
B and E
Step-by-step explanation:
how to find 18% of 3000
Answer:
the answer is 540
Step-by-step explanation:
Hope this helps, have a good day
If y = -5x - 8, choose all the solutions.
Triangle MNO is dilated using a scale factor of 3 with the origin as the center of dilation.
What are the coordinates of point N in the dilated image?
A. (7,9)
B. (9,7)
C. (12, 18)
D. (18,12)
Answer: a
Step-by-step explanation:
I say a because I know it’s a
Write the equation of a line with a slope of 3 and a y-intercept of 4. Do not use spaces in your response
Answer:
y=3x+4
Step-by-step explanation:
it's in slope intercept form
Given f(x)=2^x and g(x)=f(x-3)+4, write the new function rule (equation) for function g and describe (using words*) the two transformations that occur between function f and function g.
Answer:
The first thing we do is find out what f(x-3) is[tex]f(x)=2^x\\f(x-3)=2^{x-3}[/tex] this is can be simplified using the rules of exponents[tex]f(x-3)=2^{x-3}\\f(x-3)=2^x\div2^3\\f(x-3)=\frac{2^{x}}{8}[/tex] Then we put that into g(x) [tex]g(x)=f(x-3)+4\\g(x)=\frac{2^{x}}{8}+4[/tex] The first transformation is at f(x), where it is divided by 8, and then inserted into g(x) which increases the new transformed f(x) by 4Rewrite the equation in Ax+By=C form. Use integers for A, B, and C. y=1/5x-6
Answer:
C I think
Step-by-step explanation: