Matt travelled on a bike and cover a distance of 60 miles . If he had gone 6mph faster, he would have arrived 5 hours. Therefore, the actual rate is 6 mph.
What is rate?Rate is the ratio between two related quantities in different units.
He went on a bike ride of 60 miles.
He realized if he had gone 6 miles per hour he would have arrived 5 hours earlier.
The speed he actually ride can be calculated as follows:
let
x = speed he actually ride
y = time he arrived
Therefore,
speed = distance / time
x = 60 / y
On, the other hand his permutation is as follows:
x + 6 = 60 / y - 5
(x + 6)(y - 5) = 60
since, x = 60 / y we can substitute it in the equation
(60 / y + 6)(y - 5) = 60
60 - 300 / y + 6y - 30 = 60
- 300 / y + 6y = 60 - 30
- 300 / y + 6y = 30
6y² - 300 = 30y
6y² - 30y - 300 = 0
y² - 5y - 50 = 0
y² + 5y - 10y - 50 = 0
y(y + 5) -10(y + 5) = 0
(y - 10)(y + 5) = 0
y = 10 or -5
we cannot use negative values.
Therefore,
y = 10
x = 60 / y = 60 / 10 = 6 miles per hour
He actually rode 6 miles per hour.
If he went 6 mph faster that would be 6+6 = 12 mph
If he arrived 5 hrs sooner that would be 10 - 5 = 5 hrs
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PLEASE HELP 20 POINTS!
which statement is true of this graphed function?
A. this function is an even function because it is symmetric about the Y axis
B. this function is an even function because it is symmetric about the origin
C. dysfunction is an odd function because it is symmetric about the origin
D. dysfunction is an odd function because it is symmetric about the Y axis
Answer:
OPTION C
Step-by-step explanation:
This function is odd function because it is symmetric about the origin
Note:This graph also represents the graph of tanx
I hope it helped you
Answer:
Step-by-step explanation:
Select an expression that is equivalent to 10n4. Mark all that apply. A. 10nn B. 10+ C. 10n?n? D. 5(2n") E. 10-10 F. 10(n x n x n x n)
Answer:
the answer is simple 4
Step-by-step explanation:
10n4 simple just like 10 to the 4th power
The height of a triangle is 4 times its base. If the triangle has an area of 162ft^2, find the length of the base and the height.
Answer:
base is root66 ft and height is 4root66 ft
Step-by-step explanation:
see the picture for full solution
Find the Volume of 2 centimeter 2 centimeter 8 centimeters
Answer:
32 cm^3
Step-by-step explanation:
Hope it will help you
Answer:
32 cm^3
Step-by-step explanation:
V = L x W x H
V = 2 x 2 x 8
V = 4 x 8
V = 32
The answer would be 32cm^3
I hope it helps! Have a great day!
Your Murderer~
Make y the subject
z+2 = 2/1-y
6 to the power of 3=216. Using exponents, write three more expressions whose value is 216.
Answer:
i think its (2 x 2^2) (3x3^2)
Step-by-step explanation:
Joey worked 8 more hours than Chandler last week. Together, they worked a total of 59 hours. Which system of equations can be
used to determine the number of hours Joey worked, x, and the number of hours Chandler worked, y?
Answer:
x + y = 59
x = 8 + y
Step-by-step explanation:
Joey: x hours
Chandler: y hours
total hours is sum of both:
x+y = 59
Joey (x) worked 8 more hours than chandler (y)
x = 8 + y
A triangular banner is to be made according to the specifications in the figure shown, with dimensions given in inches.
image
Wooden sticks will be used to outline the perimeter of the banner in order to attach the interior material.
How many inches of wooden sticks will be required?
The inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.
Perimeter of a triangleThe perimeter of a triangle is the sum of the whole three sides.
Therefore, the perimeter of the triangle can be found by adding the whole sides of the triangle.
The remaining sides of the triangle can be found using Pythagoras theorem.
c² = a² + b²
where
a and b are the legsc = hypotenuseTherefore,
a² = 13² - 5²
a² = 169 - 25
a = √144
a = 12 inches
Therefore,
b² = 15² - 12²
b² = 225 - 144
b = √81
b = 9 inches
Therefore,
perimeter = 13 + 15 + 5 + 9 = 42 inches
Therefore, the inches of wooden stick required to outline the perimeter of the banner in order to attach the interior material is 42 inches.
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Frank and Jerry save quarters in a piggy bank. The bank had $28 in it, then Frank put in F quarters and Jerry put in J quarters. Which expression can be used to represent the amount of money in the bank now? A) FJ + 28 B) 0.25FJ + 28 C) 0.50(F + J) + 28 D) 0.25F + 0.25J + 28
Answer:
D
Step-by-step explanation:
Solve the triangle. Round to the nearest tenth.
answer:
213.176 units^2
explanation:
1) find the height
10.8^2+h^2=22.5^2
h^2=389.61
h=19.7
2) use formula to find area
A=1/2bh
A=1/2(21.6)(19.7)
A=213.176
--
if this helped, please consider giving brainliest !
The manager of a car dealership is offering a bonus to any salesperson who sells 2 cars today. Lately, Kim has been able to sell a car to 20% of the customers she greets. She wants to know the probability that she gets the bonus if she greets 7 customers today. To determine this, she uses a random number generator. The following table shows 50 sets of 7 digits. For each digit, Kim assigns the numbers 0 and 1 to selling a car and the numbers 2 through 9 to not selling a car.
The experimental probability of Kim getting the bonus if she greets 7 customers today is
_______.
Answer:
o.48
Step-by-step explanation:
To find the experimental probability of Kim getting the bonus, count the number of sets of digits that have at least two 0's or 1's.
Notice there are 24 sets of numbers that have at least two 0's or 1's. So, the experimental probability of Kim getting the bonus if she greets 7 customers today is or 0.48.
How to find the base of a triangle if your height is 6 inches.
Answer:
Triangle Area = 1/2 x Base Length x Height Example:
if a*b=a^2-b^3, then what is the value of 3*-2
Huy borrowed $4500 from a bank at a rate of 5% per year compound interest. He paid back the money and interest at the end of 2 years.
How much interest did he pay?
Answer:
Step-by-step explanation:
FV = PV ( 1 + i)^n i = decimal interest per period(year) n = periods(years)
FV = future value PV = present value (deposit or loan amount)
FV = 4500 ( 1 + .05)^2
FV = 4500(1.05)^2 = 4961.25 subtract the orginal deposit which means 461.25 interest paid at 2 yrs
The sum of two numbers is 37 the larger number is 21 more than the smaller number what are the numbers
Answer: a= 24 , B is 13
Step-by-step explanation:
A + B = 37
A = B +21
Marshall has $700 in an account that earns 13% interest compounded annually.
To the nearest cent, how much interest will he earn in 1 year?
Marshall has $700 in an account that earns 13% interest compounded annually. At the end of one year Marshall will have the sum of $791.
How to calculate simple interest amount?If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest.
then the interest amount earned is given by:
[tex]I = \dfrac{P \times R \times T}{100}[/tex]
The principal amount (P)= $700
The interest rate(R) = 13%
The period of investment (T) = 1 year
Simple interest
= P×T×R/100
= 700×T×13/100
= 9100/100
= $91
Therefore, the total amount she will receive at the end of a year
= 700 + 91
= $791
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What is the numerator for the following
Answer:
Can you please check the photo I sent you it has the answer and step-by-step explanation
Step-by-step explanation:
What is the area of a circle with a diameter of 4x?
(second question): how to deal with loss of a family member..
please help :)
Answer:4x^2 π
Step-by-step explanation:
Well to solve the area of a circle with diameter with 4x, you need to find the radius which is half the diameter so 4x / 2 = 2x. Then you subsitute that into πr^2 which is 2x^2 π = 4x^2π.I don't have any solution for your second question... sorry...
Hewo!
The answer to your first question: 4x^2 π
To your second..
First, im really sorry about your loss.. it will get better i promise.
But, i would suggest letting it all out. I know its hard right now, so let it out.Get a notebook and keep track of your feelings.. get better soon Lilo..
-Nat
Subtract --5x^2-
9x- 8 from
-6x^2 + 5.
Answer:
-x²+9x+13
Step-by-step explanation:
if your question is (-6x²+5)-(-5x²-9x-8)
-(-a-b)=(a+b)
=-6x²+5+5x²+9x+8
=-6x²+5x²+9x+5+8
=-6x²+5x²+9x+13
Then the answer is -x²+9x+13
Please answer the 4 questions.
first slide:
a. not statistical
b. statistical
c. statistical
second slide:
a. yes
b.no
c. yes
d. no
third slide (drop-down question)
a. statistical
b. vary
fourth slide:
the last question, how many miles does each member of the biking club...
Please help me with this problem
Answer:
-36
Step-by-step explanation:
6^2+(y-x)
=> 6^2+[-77 - (-5)]
=> 6^2+[-77+5]
=> 6^2+(-72)
=> 36+(-72) [6^2 = 36]
=> -36
can you mark me brainliest?
Hello-
6² + (y - x) is our equation. And wonder of wonders, our x and y values are given! What a beautiful thing, having both given to us.
x = -5
y = -77
Let's plug our given values into our equation for x and y. Like so-
6² + (y - x) becomes 6² + (-77 - (-5))
In math, we must do whatever operations are contained within parentheses first and foremost. So we must subtract -5 from -77. That, by the way, equals -72.
6² + -72
Now we do our exponents, or powers.
6² = 36
36 + -72
Now we do the easiest part - adding.
32 + -72 = -36
So the answer to this problem (if I've done my algebra correctly) is -36.
Hope this helps.
12. In a poll taken in March of 2007, Gallup asked 1006 national adults whether they were
baseball fans. 36% said they were. A year previously 37% of a smaller sample had
reported being baseball fans.
a. Find and interpret a 90% confidence interval for the 2007 poll.
b. Would the margin of error be larger or smaller for a 99% confidence interval?
C. Find and interpret a 98% confidence interval.
The margin of error of the 90% confidence interval will be 0.024 and it increases when there's a higher confidence interval.
How to calculate the confidence interval?The margin of error of the 99% confidence interval will be:
= 1.645 × [✓0.36(1 - 0.36)/1006
= 0.024
The margin of error for a 99% confidence interval will be calculated thus:
= 2.576 × [✓0.36(1 - 0.36)/1006
= 0.03898
This implies that margin error increases when there's a higher confidence interval.
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There is a pair of parallel sides in the following shape. 4 4 6
20 units²
Step-by-step explanation:[tex]Becanse\ simple\ form:[/tex]
[tex]S=(4+6)\times4\times\frac{1}{2}[/tex]
[tex]=10\times 2\\ =20\ units\ ^2[/tex]
[tex]algorithm\ rule)[/tex]
I hope this helps you
:)
The area of the shape is 20 square units.
What is a trapezoid?An open, flat object with four straight sides and one set of parallel sides is referred to as a trapezoid or trapezium. A trapezium's non-parallel sides are referred to as the legs, while its parallel sides are referred to as the bases.
Given that a shape is in trapezoid form.
The dimensions of the parallel sides are 4 and 6 units.
And a perpendicular side is 4 units.
The formula for the area of a trapezoid is:
Area = (1/2) × (sum of parallel sides) × (perpendicular distance between them)
In this case, the parallel sides have lengths 4 and 6 units, and the perpendicular distance between them is 4 units.
Substituting these values into the formula, we get:
Area = (1/2) × (4 + 6) × 4
Area = (1/2) × 10 × 4
Area = 20 square units
Therefore, the area of the trapezoid is 20 square units.
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Please helpppppppppp
Answer:
96 pizza slices
Step-by-step explanation:
Make a chart if 1 slice = 1.25, 20 pizza slices will cost 25.00, 50 will cost 62.50. An easy way you coud do it would be divided 120 by 1.25. When yu divided it it will give you 96. So, 96 slices will cost 120.00.
please help to simplify 4+2×-4+8×-1
_____________________________________________________
Calculate[tex]4+2\times (-4)+8\times (-1)[/tex]
_____________________________________________________
Determine the sign for multiplication or division[tex]4-2\times 4+8\times (-1)[/tex]
[tex]4-2\times 4-8[/tex]
______________________________________________________
Calculate the product or quotient[tex]4-8-8[/tex]
______________________________________________________
Calculate the sum or difference[tex]-4-8[/tex]
[tex]-12[/tex]
I hope this helps you
:)
WHOEVER HELPS ME WILL GET MARKED BRAINLIEST PLSSSSS HELP
Answer:
D please mark brainliest
Step-by-step explanation:
Answer:
The answer to your question is D(-6, -3)
Step-by-step explanation:
please find the area
Answer:
254.34 m²
Step-by-step explanation:
The formula used to find the area of a circle is π · r².
The radius of a circle is half of it's diameter.
Using the given values, we can solve:
3.14 · 9²
3.14 · 81
= 254.34 m²
hope this helps!
Answer:
Area = 254.469004940773 m²
Step-by-step explanation:
formula : (area of a circle)
Area = π × r²
where r is the radius of the circle
[tex]\large \text r = \frac{\large \text Diameter \ of \ the \ circle }{2} = \frac{18}{2} =9\ m[/tex]
then
Area = π × 9²
= π × 81
= 254.469004940773 m²
What is the equation of the line that passes through the point (- 2, - 1) and has a slope of 5/2
Answer:
[tex]equation \: of \: a \: line \\ y - y1 = m(x - x1) \\ y - ( - 1) = \frac{5}{2}(x - ( - 2)) \\ 2(y + 1 )= 5(x + 2) \\ 2y + 2 = 5x + 10 \\ 2y - 5x - 8 = 0[/tex]
How do you find the volume of a cube?
Answer:
V = s³
Step-by-step explanation:
You multiply all sides together (L×W×H)
Could someone help me please.
Answer:
D
Step-by-step explanation:
The expression is equal to 1/300
D is the only other one equal to 1/300