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
learn more rate here: https://brainly.com/question/14040951
x=[ ? ]°
х
x
What is the answer?
Answer:
x = 60
Step-by-step explanation:
Because the triangle looks like an equalateral triangle meaning all sides and angles are congruent
So triangle equals 180 degrees and 60 times 3 equals 180
Step-by-step explanation:
x + x + x = 180° ( sum of interior angle of triangle is 180°)
3x = 180°
x = 180° / 3
x = 60°
Pythagorean Theorem
(Rounding)
Find the length of the third side. If necessary, round to the nearest tenth.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER AND POINTS!!!!
IMAGE DOWN BELOW!!
Answer:
19.2 or 19.20
Step-by-step explanation:
Side 25=hypotenuse because it is across from the rightness of the triangleThis means that teh unknown side is a leg, as well as the side that says 16This makes our equation: a²+16²=25²Next we solve16²=256 and 25² is 625 so now our equation is a²+256=625We then subtract 256 from both sides which leaves us with x²=369To find the value of x, we take the square root of both sides. This leaves us with X=19.2find the root of 6x^2+13×+6=0 using graphical method of quadratic equation
Answer....
Ok done. Thank to me >:33
On a TV game show, a contestant makes $700 for every correct answer but loses $400 for every wrong answer. After answering 22 questions, Sarah broke even. How many questions did she answer correctly?
Answer:
She answered 8 of them correctly.
Step-by-step explanation:
Everly's age is 2 years more than 3 times Gage's age .If Everly is 23 years old, which equation represents how to find Gage's age ?
A 2e + 3 =23
B 2 e - 3 = 23
C 3e + 2 =23
D 3 e -2 = 23
need help please .
Answer:
Solution: C
Equation to find Gage's age: 3g + 2 = 23 (where g is Gage's age)
Step-by-step explanation:
Let e = Everly's age
Let g = Gage's age
Given:
Everly's age is 2 years more than 3 times Gage's age:⇒ e = 3g + 2
Given
Everly is 23 years old⇒ e = 23
Combine the equations to create an equation to find Gage's age:
⇒ 3g + 2 = 23
To find Gage's age, solve the equation for g:
⇒ 3g + 2 = 23
⇒ 3g = 21
⇒ g = 7
Therefore, Gage is 7 years old
Rodney’s salary increased by 15% to $48,000 annually. What was his pay before the increase?
Answer:
$41739.13
Step-by-step explanation:
We will start by creating an equation for the problem.
Set Rodney's salary before the increase as [tex]x[/tex].
Changing the 15% to a decimal and making sure it's an increase we get 1.15
If we work backwards we get the equation:
[tex](1.15)x=48000[/tex]
[tex]\text{Solving for } x\text{ we divide }48000 \text{ by } 1.15 \text{ and we get the answer of } 41739.13[/tex]
Which postulate proves these two
triangles are congruent?
A. SSA
B. HL
C. ASA
D. SAS
Answer:
B
Step-by-step explanation:
Remark
If the Hypotenuse and a corresponding leg in one right triangle = the Hypotenuse and corresponding leg of the second right triangle, then the triangles are congruent.
Answer
HL
Determine the oreadred pair for (-10,3) when it has been reflected over the y-axis
Answer:
(10 , 3)
Step-by-step explanation:
When you reflect over the y-axis, you are flipping the sign of the x-coordinate.
Likewise, when you reflect over the x-axis, you are flipping the sign of the y-coordinate.
In this case, you are reflecting over the y-axis, and the pair given to you is (-10, 3). When you reflect over the y-axis, you must flip the sign of the x-coordinate.
(-10 , 3) reflected over the y-axis is (10 , 3).
~
The amount of Jake’s paycheck is directly proportional to the hours he works. After working 23 hours, his paycheck was $180.55. Determine the number of hours Jake needs to work to receive a paycheck of $290.45.
Answer:
35 hours
Step-by-step explanation:
what is the value of the expression below 2816 * 7
Answer: 19,712
Step-by-step explanation: 2816 times 7 = 19712
Answer:
19,712
With multiplication, you have to follow 4 easy steps to get your answer, as listed below.Count the number of decimal places in both the multiplicand, and the multiplier.Remember to ignore decimals, you need to right align the numbers one on top of the other as if they were integers.Multiply the numbers using long multiplication, an algorithm.Make sure to insert a decimal point into the product, your final result, so that it has the same number of decimal places equal to the total of decimal places from step 1.________________________________________________________
What have we learned?We learned the four steps to solving a multiplication problem, which can be helpful here, and in the future.
Questions?Ask me in the comments box.
pls help me wat is 10 × 3 + 4
Answer:
34
Step-by-step explanation:
10 x 3 = 30
30 + 4 = 34
34 is the answer.
Answer:
10×3+4
=30+4
=34
hope this helps you
simplify (2^3)^-2
urgent need for answers
Answer:
0.015625Step-by-step explanation:
I would REALLY try to explain, but I can't find any explanation.
If this is my best, give other person brainliest.
Answer:
Exact form would be 1/64
Decimal form would be 0.015625
Step-by-step explanation:
Khalil is 1.65 meters tall. At 3 p.m., he measures the length of a tree's shadow to be
34.55 meters. He stands 30.4 meters away from the tree, so that the tip of his shadow
meets the tip of the tree's shadow. Find the height of the tree to the nearest
hundredth of a meter.
1.65 m
30.4 m
34-55 m
Answer:
Step-by-step explanation:
The height of the tree to the nearest hundredth of a meter is 1.875 meters.
Given that:
Khalil is 1.65 meters tall. At 3 p.m., he measures the length of a tree's shadow to be 34.55 meters. He stands 30.4 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow.
Let h be the height of khalil h = 1.65 , H be the tree height , L be the length of the tree's shadow L = 34.55 and l be the length of khalil shadow l = 30.4
Using equivalent ratios of heights:
h : H = l : L
H : 1.65 = 34.55 : 30.4
H/1.65 = 34.55/30.4
H = 34.55/30.4 * 1.65
on solving
H = 1.875 meters which is tree height
Therefore the height of the tree to the nearest hundredth of a meter is 1.875 meters.
Learn more about the height of the tree and shadow here:
https://brainly.com/question/17138922
#SPJ1
What is the solution of log(3x+4)^125 = 3? (3x+4) is the base. 125 is the argument.
x=1/3
x=1
x=7/3
x=4
Answer:
x = 1/3
Step-by-step explanation:
[tex] = > log_{(3x + 4)}125 = 3[/tex]
[tex] = > {(3x + 4)}^{3} = 125 \: ( \because \: log_{a}b = x = > {a}^{x} = b)[/tex]
[tex] = > 3x + 4 = \sqrt[3]{125} = 5[/tex]
[tex] = > 3x = 5 - 4 = 1[/tex]
[tex] \therefore \: \: x = \frac{1}{3} [/tex]
Hope you've understood the solution.
plss help me noww if you can
Answer:
i cant see the picture at all
Step-by-step explanation:
a = 28, d = 10 Find the 30th term
Answer:
318
Step-by-step explanation:
Arithmetic sequence:
a = 28 ; d = 10 & n = 30
[tex]\boxed{a_{n}=a +(n-1)d}[/tex]
a₃₀ = 28 + (30 - 1)*10
= 28 + 29 *10
= 28 + 290
= 318
Sarah paid $3.84 for 32 ounces of carrots. Sue paid $5.20 for 40 ounces of carrots. Who paid less per ounce?
A. Sue
B. They paid the same amount per ounce.
C. Sarah
(Will mark brainliest and pls fast)
Answer:
C:) Sarah
Step-by-step explanation:
Sarah paid $3.84 for 32 ounces of carrots.
32 ounces = $3.84
1 ounce = x
Cross Multiply
x = $3.84/32
x = $0.12
For Sue
Sue paid $5.20 for 40 ounces of carrots.
40 ounces = $5.20
1 ounce = x
Cross Multiply
x = $5.20/40
x = $0.13
Who paid less per ounce?
Sarah paid less per ounce
The area of a rectangular room is 48 square feet and the width is 2 yards. What is the length of the room?
Answer:
8 feet = 2 ²/₃ yards
Step-by-step explanation:
1 yard = 3 feet
Given width = 2 yards
⇒ width = 2 × 3 = 6 feet
Area of a rectangle = width × length
⇒ 48 ft² = 6 ft × length
⇒ length = 48 ft² ÷ 6 ft
⇒ length = 8 ft
To convert the length to yards, divide by 3:
⇒ 8 ÷ 3 = 2 ²/₃ yards
Bob shoots off a small rocket from the balcony of his apartment. The balcony is 30 ft above the ground and the rocket travels at 40 ft/second. When does it reach the highest point? What is the highest point? When does it hit the ground (seconds)?
From the calculations;
The highest point above the ground is 112 feetThe time taken to reach this height is 8 secondsEquations of motionThe equations of motion are used in kinematics to obtain the various variables that has to do with motion.
In this case;
distance covered = 30 ft
initial velocity = 40 ft/second
Final velocity = 0 m/s at the maximum height
Hence;
v^2 = u^2 - 2gh
since v = 0
u^2 = 2gh
h = u^2/2g
h = (40)^2/2(9.8)
h = 82 feet
highest point above the ground = 82 feet + 30 feet = 112 feet
Now;
v = u - gt
since v = 0
u = gt
t = u/g
t = 40/9.8
t = 4 seconds
Time taken to hit the ground = 2(4 seconds) = 8 seconds
Learn more about kinematics:https://brainly.com/question/27126557
A buoy starts at a height of 0 in relation to sea level and then goes up. its maximum displacement in either direction is 6 feet, and the time it takes to go from its highest point to its lowest point is 4 seconds. which of the following equations can be used to model h, the height in feet of the buoy in relation to sea level as a function of time, t, in seconds? h = 4 sine (startfraction pi over 6 endfraction t) h = 4 sine (startfraction pi over 3 endfraction t) h = 6 sine (startfraction pi over 4 endfraction t) h = 6 sine (startfraction pi over 2 endfraction t)
The equation of the model h will be h = 6 × sin(2πt/8). Then the correct option is C.
What is a 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.
A buoy starts at a height of 0 in relation to sea level and then goes up.
Its maximum displacement in either direction is 6 feet, and the time it takes to go from its highest point to its lowest point is 4 seconds.
Then we have
[tex]h=A \times \sin \omega t, \ \ at=0, \ \ h =0[/tex]
The maximum displacement of the buoy in either direction is 6 ft, then we have
[tex]h=6 \times \sin \omega t[/tex]
The time it takes the buoy to get from the lowest to the highest point is 4 seconds then the oscillation time period will be 8 seconds.
Then we have
[tex]\omega T = 2\pi\\\\\omega = \dfrac{2\pi}{8}[/tex]
Then the h will be given as
[tex]h =6\times \sin (\dfrac{2\pi}{8}t)[/tex]
More about the function link is given below.
https://brainly.com/question/5245372
What is the length of BD?
A. 53.3 units
B. 30 units
C. 67.5 units
D. There is not enough information to determine the length of BD.
Answer: B
Step-by-step explanation:
Please explain this to me step by step. Thanks!
Answer:
Step-by-step explanation:
14) Amount in Harper's school lunch account = $ 75
Cos of one meal = $ 3.25
Cost of 'm' meals = 3.25 * m = 3.25m
Balance amount in Harper's account after getting 'm' meals = $ 19.75
Total amount - Cost of 'm' meals = 19.75
75 - 3.25m = 19.75
To find the value of 'm', isolate m. To isolare m subtract 75 from both sides
-3.25m = 19.75 - 75
-3.25m = -55.25
Now divide both sides by (-3.25)
m = -55.25/(-3.25)
m = 17
15) Starting height = 24 ft
Height after t seconds = 4.5*t = 4.5t
To see the river, the drone should reach the height atleast 330 ft above the ground. ⇒ It should be at the height greater than or equal to 330 ft
Initial height + height after 't' seconds ≥ 330
24 + 4.5t ≥ 330
Subtract 24 from both sides
4.5t ≥ 330 - 24
4.5t ≥ 306
Divide both sides by 4.5
t ≥ 306/4.5
t ≥ 68
He will be able to see the river from 68 seconds ( 1 minute 8 seconds) and above.
No, Imani will not be able to the river after the drone has been raising for one minute. At 1 minute 8 seconds Imani will start seeing the river. So at one minute, the drone will not have reached the required height .
A clothing store sells shirts with long, short, or no sleeves. Each style is available in gray, red, or pink. A clerk incorrectly states the sample space for the possible color and sleeve styles as (gray, long), (gray, short), (red, long), (red, short), (pink, long), and (pink, short). Use a table to show the sample space. What error did the clerk make?
Need asap
WILL GIVE BRAINLIEST
Graph the step function over the interval
Answer:
hope this helps
Round of to the numbers as indicated:
1. 48521
To nearest 10:
To nearest 100:
To nearest 1000:
1. 674502
To nearest 10:
To nearest 100:
To nearest 1000:
3. 3875
To nearest 10:
To nearest 100:
To nearest 1000:
Answer:
See below.
Step-by-step explanation:
1. 48521
To nearest 10: 48520
To nearest 100: 48500
To nearest 1000: 49000 (8 goes up to 9 becasue of the 5)
1. 674502
To nearest 10: 674500
To nearest 100: 674500
To nearest 1000: 675000
3. 3875
To nearest 10: 3880
To nearest 100: 3900
To nearest 1000: 4000
To nearest 10:
= 48520
To nearest 100:
= 48500
To nearest 1000:
= 49000
1. 674502To nearest 10:
= 674500
To nearest 100:
= 674500
To nearest 1000:
= 676000
3. 3875To nearest 10:
= 3880
To nearest 100:
= 3900
To nearest 1000:
= 4000
(if the number your rounding is higher than 5, round the number up)
six bags of flour and 4 bags of sugar weighs 64 pounds 8 bags of flour weigh 64. all bags of flour weigh the same and all bags of sugar weigh the same. what is the ratio of one bag of flour to one bag of sugar ?
Answer:
the ratio of one bag of flour is 8
D) If Clarissa pays $84 to buy a watch after a
discount of 20%, find the original price of the
watch
Answer:
$100.80
Step-by-step explanation:
84 * 1.20 (120%) is 100.80
Answer:100.8
Step-by-step explanation:
0.2x84=16.8 so 16.8 is the discount.
84+16.8=100.8
What is the volume of this cone? use 3.14 for π and round your answer to the nearest tenth. in your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.
Answer:
Volume of a cone = 1/3•pi r•r•h
V = 1/3•pi•2•2•8
V = 33.49333333333333
V = 33.5 inches squared
I hope this helps! Have a good day! :)
The volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.
How to find volume of a right circular cone?Suppose that the radius of considered right circular cone be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
[tex]V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3[/tex]
Right circular cone is the cone in which the line joining peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.
The missing image for this problem is attached below.
For this case, the radius is of 2 inches, and height is of 8 inches, thus, the volume of the considered cone is:
[tex]V = \dfrac{1}{3} \pi r^2 h \: \rm unit^3 \approx \dfrac{1}{3} \times 3.14 \times (2)^2 \times 8 \approx 33.51 \approx 33.5 \: \rm in^3[/tex]
(rounded to the nearest tenth, which is first place to right of the decimal point.
Thus, the volume of the considered cone whose heigth is 8 inches and radius of the base is 2 inches is 33.5 cubic inches approximately.
Learn more about volume of a cone here:
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a. translation; four units right and six units down
b. translation; four units left and six units down
c. rotation; 90 degrees
d. reflection; across y=-4
Answer:
b. translation; four units left and six units down
The mean length of 10 childrens' index finger is 12.6cm.
The mean length of 6 adults' index finger is 16.1cm.
What is the mean length (rounded to 2 DP) of these 16 people's index finger?
Get total lengths by multiplying:
10 x 12.6 = 126
6 x 16.1 = 96.6
Add the total lengths together and divide by 16:
126 + 96.6 = 222.6
222.6 / 16 = 13.9125
Rounded to 2 decimal places = 13.91
answer: 13.91
