Answer:
5.104 X 10^2
Step-by-step explanation:
Answer:
510.4 trillion in scientific notation = 5.104 × 1014.
Step-by-step explanation:
This can also be expressed as 5.104 × 10^14, using the caret symbol, or as 5.104e+14, which is called 510.4 trillion in e-notation,
PLEASE ANSWER ASAP!!! FULL ANSWERS ONLY!!!!!! WILL GIVE BRAINLIEST!!!!!!!!!
Two cyclists, 68 miles apart, start riding toward each other at the same time. One cycles 3 miles per hour faster than the other, and they meet after 4 hours of riding.
a. Write an equation using the information as it is given above that can be solved to answer this problem. Use the variable r to represent the speed of the slower cyclist.
b. What are the speeds of the two cyclists? _______________
Answer:
4r + 4(r + 3) = 68
r = 7 miles per hour
r + 3 = 10 miles per hour
Step-by-step explanation:
distance = rate * time
a)
4r + 4(r + 3) = 68
Distribute
4r + 4r + 12 = 68
8r + 12 = 68
8r = 56
r = 7 miles per hour
r + 3 = 10 miles per hour
a) The given equation using the information as it is given above that can be solved to answer this problem is 4r + 4(r+3) = 68
b) The speed of both cyclists are 3mi/hr and 10mi/hr respectively
The formula for calculating the distance covered is expressed as:
Distance = speed * time
Let the speed covered by one cyclist be t
If one cycles 3 miles per hour faster than the other, the speed of the other will be t + 3
If both meet after 4 hours of riding, then their time will be 4 hours
Distance covered the first cyclist = 4r
Distance covered by the second = 4(r+3)
If the two cyclists are 68 miles apart, then:
4r + 4(r+3) = 68
a) The given equation using the information as it is given above that can be solved to answer this problem is 4r + 4(r+3) = 68
b) Expand the equation in a to get "r"
4r + 4r + 12 = 68
8r + 12 = 68
8r = 68 - 12
8r = 56
r = 56/8
r = 7miles per hour
Speed of the first cyclist = 7mi/hr
Speed of the second cyclist = 3 + 7mi/hr = 10mi/hr
Hence the speed of both cyclists are 3mi/hr and 10mi/hr respectively
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Which situation would be represented with the integer -72? Select all that apply.
A hike of 72 feet.
A gain of 72 yards, but a loss of 72 yards, ending back at 0.
A withdrawal of 72 dollars.
A height of 72 inches.
A depth of 72 feet.
HELP THIS IS THE LAST TEST OF THE YEAR PLZ HELPP QUICK!!
Answer:
A withdrawal of 72 dollars & E) a depth of 72 feet
Step-by-step explanation:
It is negative, which means subtract. So we will take away 72 dollars.
A depth of 72 feet is also negative since we are going down.
peter lost 8 marbles in a game. this number was one fifth of the number that he started with. how many marbles he have at the beginning
Answer:
40
Step-by-step explanation:
8 is one fifth of x8 multiplied by 5 40A cube has edges that measures 13 cm each find volume for a cube
Answer:
2197 cm^3
Step-by-step explanation:
V = s^3
V = (13 cm)^3
V = 2197 cm^3
Mr. Brown has 20 students in his English 6 class. There are 15 boys and 5 girls. If he puts all their names in a hat and draws out one, what is the probability of
drawing a boy's name?
Fraction: type your answer...
Decimal: type your answer..
Percent: type your answer.
Answer:
Divide
Step-by-step explanation:
What is the center of the circle (x+7)^2+(y+4)^2=25
9514 1404 393
Answer:
(-7, -4)
Step-by-step explanation:
Compare the given equation to the standard form equation for a circle with center (h, k) and radius r.
(x -h)^2 +(y -k)^2 = r^2
You see that ...
-h = +7 ⇒ h = -7
-k = +4 ⇒ k = -4
Then the center is ...
(h, k) = (-7, -4)
__
The radius is ...
r^2 = 25 ⇒ r = √25 = 5 . . . radius of the circle
Juanita is decorating for a birthday party. She buys more than 30 balloons and attaches 6 of them to the chair for the birthday girl. She also wants to attach balloons to each of the 4 tables, with the same number of balloons at each table. If n represents the number of balloons at each table, this situation can be represented by the inequality 6 + 4n > 30. What does the solution to this inequality represent? A. She must attach fewer than 6 balloons to each table. B. She can attach more than 6 balloons to each table. C. She must attach fewer than 9 balloons to each table. D. She can attach more than 9 balloons to each table
Which equation represents the solution of the linear equation - 4x + 5 = 9?
A. x = 4
B. x = 1
C. x = -1
D. x = -4
Points Pand Q are at the following locations on a number line.
Pis at -8.
Q is at -3.
Which number is on Pq but not on QP?
8 is in the left side of the number line
3 is in the right side of the number line
Find the measure of arc CD, which is the value of y.
48°
59°
73°
146°
Answer:
D
Step-by-step explanation:
Sum of Inner angles of a triangle = 180
59 + 48 + a = 180
107 + a = 180
a = 73
y = 73 * 2 = 146 degrees
Solve for x.
5(x - 10) = 30 – 15x
O x= 1
O x = 4
O x = 5
O x = 8
Answer:
X=4
Step-by-step explanation:
Distribute
5(x−10)=30−15x
5 − 5 0 = 3 0 − 1 5
Rearrange terms
5x−50=30−15x
5 − 5 0 = − 1 5 + 3 0
Add 5 0 to both sides of the equation
5x-50+50=-15x+30+50
Add 1 5 to both sides of the equation
5 + 1 5 = − 1 5 + 8 0 + 1 5 \
2 0 /2 0 = 8 0/ 2 0
= 4
Option B is correct, the value of x in the equation 5(x - 10) = 30 – 15x is 4,
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 5(x - 10) = 30 – 15x
Five times of x minus ten equal to thirty minus fifteen times of x.
x is the variable in the equation
Apply distributive property on left hand side
5x-50=30-15x
Take the variables on one side and constants on other side
5x+15x=30+50
Combine the like terms
20x=80
Divide both sides by 20
x=4
Hence, the value of x in the equation 5(x - 10) = 30 – 15x is 4, option B is correct.
To learn more on Equation:
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A publishing house is selling subscriptions to magazines for 10% off the original price.
If a subscription to Time Magazine usually costs $50, how much will it cost on sale?
A) $5
B) $45
C) $42
D) $55.56
Answer:
B. 45
Step-by-step explanation:
50x.10=5 discount
50-5=45
]A friend lends you $200 for a week, which you agree to repay with 5% one-time interest. How much will you have to repay (including the principal)?
Answer:
$210
Step-by-step explanation:
$200 is your base payment
5% of $200 = $10
$200 + $10 = $210
Answer:
$210
Step-by-step explanation:
$200 is your base payment
5% of $200 = $10
$200 + $10 = $210
A. -11/3
B. -7/3
C. 7/3
D. 11/3
Answer:
[tex]\displaystyle a = \frac{-11}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Exponential Rule [Powering]: [tex]\displaystyle (b^m)^n = b^{m \cdot n}[/tex] Exponential Rule [Rewrite]: [tex]\displaystyle b^{-m} = \frac{1}{b^m}[/tex]Step-by-step explanation:
Step 1: Define
Identify
[tex]\displaystyle 9 = (\frac{1}{27})^{a + 3}[/tex]
Step 2: Solve for a
Rewrite: [tex]\displaystyle 3^2 = (\frac{1}{27})^{a + 3}[/tex]Rewrite: [tex]\displaystyle 3^2 = (\frac{1}{3^3})^{a + 3}[/tex]Rewrite [Exponential Rule - Rewrite]: [tex]\displaystyle 3^2 = (3^{-3})^{a + 3}[/tex]Exponential Rule [Powering]: [tex]\displaystyle 3^2 = 3^{-3(a + 3)}[/tex]Set up: [tex]\displaystyle 2 = -3(a + 3)[/tex][Division Property of Equality] Divide -3 on both sides: [tex]\displaystyle \frac{-2}{3} = a + 3[/tex][Subtraction Property of Equality] Subtract 3 on both sides: [tex]\displaystyle \frac{-11}{3} = a[/tex]Rewrite: [tex]\displaystyle a = \frac{-11}{3}[/tex]I need help ASAP Please
Answer:
49
Step-by-step explanation:
working is attached
if its wrong don't flame me im just a random girl on this app
BRAINLIEST if correct
help- pleasee brainilist - -3/7 divided by 1/2
Answer:
6/7
Step-by-step explanation:
I reduced the expression by cancelling the common factors
Can y’all help me on question 31?!
Answer:
D
Step-by-step explanation:
Area of 1 surface=1×16=16 square units
hence, 16×6=96 square units
Umm can someone help me lol
Answer:
Answer is C
Step-by-step explanation:
C 63
A 37
B 59
The triangle shown above is possible.
A. True
B. False
Answer:
B. false
because the sum of interior angles of a triangle is 180°
this one is 63+37+59=159
Can u help me on this plzz
List three fractions that are equivalent to 1
Answer:
6/6 2 times 4/8 and 2/2
Step-by-step explanation:
Find (f o g)(0) *serious answers only*
solve
3x+3y=18
2x-2y=4
PLEASEEEEEE I NEEED HELLPPPPP IM BEGGGINGGGG SOMONE PLEASEEEEE HELPPPPPPPPPPPP
Answer:
2nd option:
8x+2y=32
x+y=7
Step-by-step explanation:
Answer:
It is in fact the second one.
Step-by-step explanation:
It says that he bought a total of 7 tickets and it cost $32.
x represents the number of adult tickets and y represents the number of chid tickets.
So:
x + y = 7 because the adding the number of adult and child tickets should equal the total number bought.
and
8x + 2y = 32 because each adult ticket was 8 dollars and each child was 2 and the total should add up to 32
What’s the volume?
someone please help
Answer:
17734.55 inches cubed. If you found this helpful, love the answer! Thank you :D
Step-by-step explanation:
Very simple. We find the area of the circle, A=Pi Radius Square.
So 3.14 (15x15)
A≈706.86
The bottom shape is 706.86x24=16964.64
The top is a cone, meaning its V≈3769.91
So 3769.91+16964.64=17734.55
You may want to double check later with other peoples answer!
9. If the range of the data 11, 13, 15, 8, 7, m, 9, 20, 33, 30, 18, 19, 16, 32, 12, 8 is 28, then m cannot be (A) 5 (B) 35 (C) 33 (D) greater than 30
TRICK QUESTION BE CAREFUL
Answer:
Just a guess, 65?
Step-by-step explanation:
This looks fun. I shall try it.
63-17 = 46
46 + 19 = 65.
Solve each equation for 0 ≤ θ 2π -2√2=-4sin 2θ
Answer:
Step-by-step explanation:
Begin by dividing both sides by -4 to get:
[tex]\frac{\sqrt{2} }{2}=sin2\theta[/tex] and then take the inverse sin of both sides to get
[tex]sin^{-1}(\frac{\sqrt{2} }{2})=2\theta[/tex] (the inverse sin undoes the sin on the right). Now we need to look on our unit circle to find the angles where [tex]sin(\frac{\sqrt{2} }{2})[/tex] is positive. There are 2 places. Sin is positive in both QI and QII. The angles are
[tex]\frac{\pi}{4},\frac{3\pi}{4}[/tex]. Therefore, our 2 equations are
[tex]\frac{\pi}{4}=2\theta[/tex] and [tex]\frac{3\pi}{4}=2\theta[/tex]. Solving the first equation:
[tex]\theta=\frac{\pi}{8}[/tex]
and the second equation:
[tex]\theta=\frac{3\pi}{8}[/tex]
Can someone help me? Step by step, no links. Will give brainliest to the right answer