Answer:
1 --- The cyclist's average speed was 18 miles per hour.
2 --- I would travel 280 miles far.
3 --- Your average speed was 52.5 miles per hour.
4 --- You should expect to arrive in Leeds at 11:50 AM.
5 --- The athlete will run 2000 m in 8 minutes and 20 seconds.
6A --- The average speed of the journey is 48 miles per hour.
6B --- It will take him 6 hours and 40 minutes.
Step-by-step explanation:
1) 90 / 5 = 18
2) 70 x 4 = 280
3) 315 / 6 = 52.5
4) 210 / 90 = 2.3333
0.333 = 0:20
9:30 + 2:20 = 11:50
5) 2000 / 4 = 500
500 / 60 = 8.3333
0.3333 = 0:20
8.3333 = 8:20
6A) 0:45 = 0.75
420 / 8.75 = 48
6B) 420 / 63 = 6.666
6.6666 = 6:40
Contributions to the annual Grayson School fund raising campaign were 10% greater in 1984 than they were in 1983. In 1983, contributions were 15% greater than they were in 1982. If contributions for 1984 total $8855, what was the total in 1982?
Answer:
6774.075
Step-by-step explanation:
1984: 8855
1983: 8855*10/100=885.5
8855-885.5
7969.5
1982
7969.5*15/100=1195.425
7969.5-1195.425
6774.075
Is 15/16 bigger than less than or equal to 1/2
Answer:15/16 > 1/2
Step-by-step explanation:
Answer:
15/16 is greaterStep-by-step explanation:
Can someone help me im having a hard time
Puzzles are packaged in groups of 3. If the store has 183 nature puzzles and 165 animal puzzles, how many packages of puzzles are there?
Answer: 116 packages
Step-by-step explanation:
From the question, we are informed that Puzzles are packaged in groups of 3 and that the store has 183 nature puzzles. The number of packages here will be:
= 183/3
= 61 packages
For the 165 animal puzzles, the number of packages will be:
= 165/3
= 55 packages
The total number of packages of puzzles will be:
= 61 + 55 packages
= 116 packages
Answer:
116
Step-by-step explanation:
First find total number of puzzles.
183+165=348
Then divide the total puzzles by puzzles in a package (3)
348÷3=
116 packages of puzzles
Why are inverse relationships between operations used to solve two step inequalities?
Answer:
The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable. We do this by performing the inverse of each operation on both sides of the equation.
Reverse addition and subtraction (by subtracting and adding) outside parentheses. Reverse multiplication and division (by dividing and multiplying) outside parentheses. When multiplying or dividing by a negative number, flip the inequality sign. It does not matter if the number being divided is positive or negative
It's necessary to apply inverse operations on both sides of the equals signs so that you can solve for the variable and balance the equation.
Multi-step inequalities are solved using the same processes that work for solving equations with one exception. When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol. (Much like when you divide by a negative number, the sign of the inequality must flip! Here's why: When you multiply both sides by a negative value you make the side that is greater have a "bigger" negative number, which actually means it is now less than the other side!)
Answer:
Step-by-step explanation:
The goal in solving an equation is to get the variable by itself on one side of the equation and a number on the other side of the equation. To isolate the variable, we must reverse the operations acting on the variable. We do this by performing the inverse of each operation on both sides of the equation.
5 ^ 3 + 1/2 ^ 2.
I need help.
Answer:
125.25
Step-by-step explanation:
5 cube =125
1/2=0.5
0.5 squared =0.25
125+0.25=125.25
the diameter of a circle is 19 meters complete the description of how you would find the circumference
Answer:
Then substitute 3.14 for pi and 19 for the diameter.
The image shows the circumference formula.
19/2=9.5
C = 2(9.5)times pi.
C = 19 times 3.14
3.14 times 19 ≈ 59.69
Can someone please help me? I already done the first two just confused on the last part please explain when u answer thx peeps brainliest :)
Answer:
c.
[tex] - 1 < - 0.25 < 0 < 0.5 < 1.5[/tex]
Y really help in this problem !
I will give you 40 points
Answer:
160
Step-by-step explanation:
Hello, I really struggle with math and I was wondering if you could help me with the following problem please? It will be much appreciated and I will give brainliest to the answer that explains it to make it the easiest. Thanks
Answer:
x=7
Step-by-step explanation:
Simplifying
3x + 2(4 + 6x) = 113
3x + (4 * 2 + 6x * 2) = 113
3x + (8 + 12x) = 113
Reorder the terms:
8 + 3x + 12x = 113
Combine like terms: 3x + 12x = 15x
8 + 15x = 113
Solving
8 + 15x = 113
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-8' to each side of the equation.
8 + -8 + 15x = 113 + -8
Combine like terms: 8 + -8 = 0
0 + 15x = 113 + -8
15x = 113 + -8
Combine like terms: 113 + -8 = 105
15x = 105
Divide each side by '15'.
x = 7
Simplifying
x = 7
Answer:
x=7
Step-by-step explanation:
3X+2(4+6X)=113
=> 3X +2x4+2x6X=113
=> 3X+8+12X=113
=> 3X+12X=113-8
=>15X=105
=>X=7
Jennifer is saving money to buy a bike. The bike costs $258. She has $125 saved, and each week she adds $19 to her savings.
How long will it take her to save enough money to buy the bike?
It will take her___
weeks to save for the bike.
Answer:
7 weeks
Step-by-step explanation:
Answer:
7 weeks
Step-by-step explanation:
5
After simplifying the expressions on each side of an equation, you observed that the coefficients of x and the constants
on each side of the equal sign were the same. What kind of solution(s) do you expect for this equation?
No solution
Infinitely many solutions
One unique solution
T
Answer:
The solution has infinitely many solutions.
Step-by-step explanation:
Correct option is - The solution has infinitely many solutions.
The expression is of the form -
ax + b = ax + b
In the expression , any value of x will satisfy
So, we get infinitely many solution
For example -
for x = 1
a(1) + b = a(1) + b
⇒ a + b = a + b
satisfied.
for x = 2
a(2) + b = a(2) + b
⇒ 2a + b = 2a + b
satisfied.
Hereon, for any value of x , it satisfies.
Find the equation of the exponential function represented by the table below:
Answer:
[tex]y =5(3)^x[/tex]
Step-by-step explanation:
Given
The attached table
Required
Determine the equation of the table
The table represents an exponential function. So, we make use of
[tex]y = ab^x[/tex]
When x = 0, y= 5.
So:
[tex]y = ab^x[/tex] becomes
[tex]5 = ab^0[/tex]
[tex]5 = a*1[/tex]
[tex]5 = a[/tex]
[tex]a = 5[/tex]
When x = 1; y = 15
So;
[tex]y = ab^x[/tex] becomes
[tex]15 = a * b^1[/tex]
[tex]15 = a * b[/tex]
Substitute 5 for a
[tex]15 = 5 * b[/tex]
Divide both sides by 5
[tex]\frac{15}{5} = \frac{5 * b}{5}[/tex]
[tex]3 = b[/tex]
[tex]b = 3[/tex]
Substitute values for a and b in: [tex]y = ab^x[/tex]
[tex]y =5(3)^x[/tex]
Suppose that G(x) = F(x + 9). Which statement best compares the graph of G(x) with the graph of F(x)?
A. The graph of G(x) is the graph of F(x) shifted 9 units up.
B. The graph of G(x) is the graph of F(x) shifted 9 units to the right.
C. The graph of G(x) is the graph of F(x) shifted 9 units down.
D. The graph of G(x) is the graph of F(x) shifted 9 units to the left.
Answer:
Option D
Step-by-step explanation:
The graph of G(x) is the graph of F(x) shifted 9 units to the left.
The positive 9 in the parenthesis let's us know that the transformation should be 9 units to the left.
BRAINLY Find the surface area of the pyramid.
Answer:
100 square centimeters
Step-by-step explanation:
-8=1/2(-4)+b what is b
Answer: -6
Step-by-step explanation:
Answer:
B = - 6
Step-by-step explanation:
Multiply the numbers
[tex]-8=\frac{1}{2} (-4)+b\\-8=-2+b\\[/tex]
Rearrange terms
[tex]-8=-2+b\\-8=b-2[/tex]
Add 2 to both sides of the equation
[tex]-8=b-2\\-8+2=b-2+2[/tex]
Simplify
Add the numbers
Add the numbers
Move the variable to the left
[tex]b=-6[/tex]
An article in Fire Technology, 2014 (50.3) studied the effectiveness of sprinklers in firecontrol by the number of sprinklers that activate correctly. The researchers estimate the probability of a sprinkler to activate correctly to be 0.7. Suppose that you are an inspector hired to write a safety report for a large ballroom with 10 sprinklers. Assume the sprinklers activate correctly or not independently.
Required:
a. What is the probability that all of the sprinklers will operate correctly in a fire?
b. What is the probability that at least 7 of the sprinklers will operate correctly in a fire?
c. What is the minimum number of sprinklers needed so that the probability that at least one operates correctly is at least 0.98?
Answer:
0.028 ; 0.649 ; 4
Step-by-step explanation:
P(correctly activation), p = 0.7
Number of sprinklers, n = 10
q = 1 - p = 1 - 0.7 = 0.3
Using the binomial probability relation :
P(x =x) = nCx * p^x * (1 - p)^(n - x)
Probability that all sprinklers activate correctly;
P(x = 10) = 10C10 * 0.7^10 * 0.3^0
P(x = 10) = 1 * 0.0282475249 * 1
P(x = 10) = 0.028
Probability that atleast 7 will operate correctly :
P(x ≥ 7) = p(x = 7) + p(x = 8) + p(x = 9) + p(x = 10)
P(x ≥ 7) = 0.267 + 0.233 + 0.121 + 0.028
P(x ≥ 7) = 0.649
3.)
Probability of atleast 1 operates :
P(x ≥ 1) = 0.98
1 - probability of 0 operates
1 - p(x =0)
P(x = 0) = nC0 * 0.7^0 * 0.3^n = 0.02
Recall :
nC0 = 1 ;
1 - p(x = 0)
P(x = 0) = 1 * 1 * 0.3^n = 0.02
0.3^n = 0.02 - - - (1)
0.3^3.24 = 0.02 - - - (2)
Comparing (1) and (2)
n = 3.24
Since, n cannot be a fraction ;
Then n is rounded to the next whole number = 4
PLEASE HELP ;-; Ill GIVE BRAINLY
What is the solution to the following system of equations? Explain how you know.
Answer:
-3,1
Step-by-step explanation:
When you are doing Systems Of Equations using a graph, the point where the lines intersect is your answer
Solve the following equation.
4x - 2 = 22-8x
Answer:
x = 2
Step-by-step explanation:
4x - 2 = 22 - 8x
Move all variables to a single side by adding 8x to both sides of the equation.
4x + 8x - 2 = 22 - 8x + 8x
12x - 2 = 22
Add 2 to both sides to move the constants to one side.
12x - 2 + 2 = 22 + 2
12x = 24
Divide both sides by 12 to isolate the x.
12x / 12 = 24 / 12
x = 2
Answer:
x = 2
Step-by-step explanation:
Add 2 to both sides.
4x - 2 +2 = 22 - 8x + 2
Simplify.
4x=-8+24
Add 8x to both sides.
4x+8x= -8x + 24 + 8x
Simplify.
12x = 24
Divide both sides by 12.
12x/12 = 24/12
Simplfy.
x = 2
hope this helps! :)
Use the substitution method to solve the system of equations. choose the correct ordered pair.x+y=12 -x=-y+10
Answer:
x=1 y=11
Step-by-step explanation:
whats warmer -3 or -4 degree celcius
Halla tres enteros consecutivos tales que 4 veces el entero del medio es 6 más que la suma del primero y el tercero
The square pyramid shown below has a base with sides of 101010 units. The slant height of the pyramid is 888 units.
Answer:6.12
Step-by-step explanation:
got the answer right
Answer:
on khan the answer is 6.12
PUT THE NUMBERS IN ORDER FROM LEAST TO GREATEST.
-29/5^2
(1, 2.5)
4,21
5.5
6
9
DONT SKIP ILL GIVE 40 POINTS.!!!
Answer:
boop
Step-by-step explanation:
Write formulas for the following mathematical statement.
The difference between the selling price and cost price is profit.
(1 Point)
profit=S.P-C.P
profit=S.P+C.P
profit=C.P-S.P
profit=C.P+S.P
Answer:
[tex]Profit = SP - CP[/tex]
Step-by-step explanation:
Given
[tex]S.P = Selling\ Price[/tex]
[tex]C.P = Cost\ Price[/tex]
Required
Represent the profit, mathematically
The profit is the difference between SP and CP.
This is represented as:
[tex]Profit = SP - CP[/tex]
Select all the equations where x = 3 is a solution.
Choose 2 answers:
3
5-2= 2
82 = 32
22 - 10 = 7
Leann wants to gift wrap a present she got for her little brother how many square inches of gift wrap will be needed to cover a box that is 4in by 6in by 2in
Answer:
48 square in.
Step-by-step explanation:
so first off you do 4x6 and you get 24 now you want t do 24x2 and get 48
homework 1 relations domain range and functions 3-8
Answer:
Step-by-step explanation:
Domain - Set of x-values
Range - Set of y-values
3). Since, x values vary from x = -6 to x = 5,
Domain of the graph = [-6, 5]
Since, y-values vary from y = -2 to y = 3
Range of the graph = [-2, 3]
4). Domain of the graph = [-3, 3]
Range of the graph = [-6, 5]
5). Domain of the graph = (-∞, ∞)
Range of the graph = (-∞, ∞)
6). Domain of the graph = (-∞, 4]
Range of the graph = (-∞, ∞)
7). Domain of the graph = (-∞, ∞)
Range of the graph = [-1, 5]
8) Domain of the graph = [-1, 5)
Range of the graph = [-3, 3)
Answer:
Step-by-step explanation:
Will mark brainliest for correct answer, due soon!
circumference = pi*d
70cm*pi = 219.8cm
219.8cm × 240 rev = 52752 cm
52752cm/100 = 528m
A Cepheid variable star is a star whose brightness alternately increases and decreases. Suppose that Cephei Joe is a star for which the interval between times of maximum brightness is 6 days. Its average brightness is 3.5 and the brightness changes by /-0.25. Using this data, we can construct a mathematical model for the brightness of Cephei Joe at time t, where t is measured in days: B(t)=4.2 +0.45sin(2pit/4.4)
A) Find the rate of change of the brightness after t days.
B) Find the rate of increase after one day.
Answer:
a) The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
b) The rate of increase after one day is of 0.0915.
Step-by-step explanation:
The brightness after t days is given by:
[tex]B(t) = 4.2 + 0.45\sin{(\frac{2\pi t}{4.4})} = 4.2 + 0.45\sin{(0.4545\pi t)}[/tex]
A) Find the rate of change of the brightness after t days.
This is [tex]B^{\prime}(t)[/tex]
The derivative of a constant is 0, the derivative of [tex]\sin{at}[/tex] is [tex]a\cos{at}[/tex]
So, in this case, we have that:
[tex]B^{\prime}(t) = 0.45*0.4545\pi\cos{(0.4545\pi t)} = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
The rate of change of the brightness after t days is [tex]B^{\prime}(t) = 0.204525\pi\cos{(0.4545\pi t)}[/tex]
B) Find the rate of increase after one day.
This is [tex]B^{\prime}(1)[/tex]. So
[tex]B^{\prime}(1) = 0.204525\pi\cos{(0.4545\pi)} = 0.0915[/tex]
The rate of increase after one day is of 0.0915.