Answer:
10 hours
Step-by-step explanation:
Let's set up a proportion using the following setup.
hours/laps=hours/laps
We know that it takes him 2 hours to run 12 laps. We don't know how long it will take him to run 60 laps, so we can say it takes x hours to run 60 laps.
2 hours/12 laps=x hours/60 laps
2/12=x/60
We want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.
x is being divided by 60. The opposite of division is multiplication, so multiply both sides by 60.
60*2/12=x/60*60
60*2/12=x
10=x
It will take Lebron 10 hours to run 60 laps.
this is numbers 1,2 and 3
Answer:
1. c
i think its right i hope it is im so sorry if it is not
State the main principle of solving equations
Answer:
The main principle of solving equations is to find the unknown value
Step-by-step explanation:
For example:
[tex]x + 3 = 6[/tex]
[tex]-3=-3[/tex]
[tex]x=3[/tex]
I hope this helps
Answer:
The fundamental principle of equation solving is based on the fact that after applying the same operation on both sides of the equation the solutions of the original equation are also solutions of the new equation.
Step-by-step explanation:
Gus has a checking account balance of $75. His bank will fund the a debit card purchase that creates a negative balance up to a limit of $200, but charges a $35 fee per transaction for any purchase made in overdraft. Gus made a purchase of $100 yesterday, and another purchase of $27 today. He used a debit card for each purchase. Then, he deposited a check for $25. What is Gus' current account balance?
Answer:
Step-by-step explanation:
Starting off we have this information:
Gus has $75 (g = 75).
He can withdraw up to 200 dollars more than he has.
This is the tricky part: when they say "Made in overdraft" it can mean two things. 1. Any transaction made while already in overdraft, or 2. Any transaction made that puts him into over draft. I will provide answers for both.
Anyway, every time he purchases while in overdraft, he loses another $35.
He spends a total of $127 before overdraft fees.
He then gains $25 dollars.
So, for the first interpretation:
75-100-(27+35)+25 = $-62
For the second interpretation:
75-(100+35)-(27+35)+25 = $-97
Hope this helped.
Is (1, 4) a solution to the equation y = 7x?
Answer:
No
Step-by-step explanation:
y=7x
4=7(1)
4=7
This is not a true statement.
There are 1250 students in a school. 58% of them are female. How many are male?
Answer:525 boys
Step-by-step explanation:
Multiply 1250 times .58 and then subtract that answer from 1250....
1250x.58=725
1250-725=525
Answer:
There are 525 boys in that school.
Step-by-step explanation:
Since the number of students in that school are 1250 and 58% of them are female, therefore the percentage of the male is
⇒100% - 58% = 42%
To find how many boys are in that school, you multiply 1250 by 42%.
i.e. [tex]\frac{42}{100} * 1250[/tex]
= [tex]\frac{42}{10} * 125[/tex]
= 4.2 × 125
= 525
∴ There are 525 boys in that school.
OR
You can find the number of boys there by subtract the product of 58% and 1250 by 1250.
i.e. Number of girls= [tex]\frac{58}{100} * 1250[/tex]
= [tex]\frac{58}{10} * 125[/tex]
= 5.8 × 125
= 725
∴ The boys in that school are:
= 1250 - 725
= 525
∴ There are 525 boys in that school.
Hope this helps!!!
Solve: StartFraction 10 Over x EndFraction = 2 a. x = 5 c. x = 20 b. x = 10 d. x = 15 Please select the best answer from the choices provided A B C D
solve: [tex]\frac{10}{x}[/tex] = 2
Answer:
a. x= 5
Step-by-step explanation:
To solve the question given, we will follow the steps below;
[tex]\frac{10}{x}[/tex] = 2
multiply x to both-side of the equation
[tex]\frac{10}{x}[/tex] × x= 2× x
at the left-hand side of the equation, x will cancel-out x, leaving us with 10
10 = 2x
divide both-side of the equation by 2
10/2 = 2x/2
at the right-hand side of the equation, 2 at the numerator will cancel-out 2 at the denominator leaving us with just x, while on the left-hand side of the equation, 10 will be divided by 2
5 = x
x=5
Answer:
a
Step-by-step explanation:
An isosceles triangle has two congruent side lengths of 20 inches.
The base of the triangle has a length of 32 inches. What is the height of the
triangle?
12 inches
10 inches
15 inches
Answer:
h = 12
Step-by-step explanation:
We can use the Pythagorean theorem
a^2 + b^2 = c^2
The legs are 32/2 = 16 and the height h
The hypotenuse is 20
16^2 + h^2 = 20^2
256 + h^2 = 400
h^2 = 400-256
h^2 = 144
Taking the square root of each side
h = sqrt(144)
h =12
1. How many possible outcomes are there for flipping a coin three times
1. 3
2. 14
3. 8
2. What is the theoretical probability of all three flips being heads
1. 1/8
2. 3/8
3. 1/2
3. What is the probability of thete being at least one tail
1. 1/8
2. 1/2
3.7/8
Answer:
1. 14
2. 1/8
3. 7/8
Step-by-step explanation:
Which correlation coefficient indicated the strongest linear relationship between the variables?
A: 0.65
B: -0.87
C: -0.52
D: 0.8
Answer:
-0.87 has the strongest linear relationship
Step-by-step explanation:
-0.87, since it is the closest value to either one or negative one,
0.8 is the second strongest
0.65 is the third strongest
-0.52 is the least strongest
GUYS PLS I NEED HELP
Answer:
z = 75°
Step-by-step explanation:
You can see that CGE and FGD are vertical angles.
FGD = 15°
Now you have a 90° angle, a 15° angle, and a z° angle. They add up to 180°
105° + z° = 180°
z = 75°
Answer:
75 degrees...
Step-by-step explanation:
if you look at the diagram, the angle with 15 degrees is the same as the one opposite!
So we know that it is on a right angled corner, so all the angles here should add up to 90 degrees!
Now we do 90 degrees - 15 degrees
This gives us 75 degrees!
So x = 75 degrees!
HOPE THIS HELPS!!
Given that AABC= ADEF, which of the following must be true?
Answer:
it's b because b and e are in the same place
Factor 15x3 – 5x2 + 6x – 2 by grouping. What is the resulting expression?
Answer:
( 3x − 1) ( 5x^2 + 2 )
Step-by-step explanation:
15x^3 − 5x^2 + 6x − 2
= ( 3x − 1) ( 5x^2 + 2 )
Using factorization by grouping, the resultant expression is [tex](5x^{2} +2)(3x-1)[/tex].
What is factorization by grouping?Factorization by grouping means that we need to group the terms with common factors before factoring.
[tex]= 15x^{3} - 5x^{2} + 6x-2\\ =5x^{2} (3x-1)+2(3x-1)\\=(5x^{2} +2)(3x-1)[/tex]
Learn more about factorization by grouping here
https://brainly.com/question/27742891
#SPJ2
algebra applications
Answer:
X=55°
Y=30°
Step-by-step explanation:
2y=x+5
Y=1/2x+2.5
3y+30=4x-100
3(0.5x+2.5)+30=4x-100
1.5x+7.5+30=4x-100
4x-1.5x=137.5
2.5x=137.5
X=55°
Y=30°
Answer:
[tex]x = 55\\y = 30\\[/tex]
Step-by-step explanation:
Finding x:
4x - 100 + x + 5 = 180 (Angles on a straight line)
5x - 95 = 180
5x = 180 + 95
5x = 275
Dividing both sides by 5
x = 55
Finding y:
2y + 3y +30 = 180 (Angles on a straight line)
5y = 180-30
5y = 150
Dividing both sides by 5
y = 30
A person who can afford a monthly payment of
and agreed to a
monthly payment of
was most likely the victim of predatory
lending
Answer:
D
Step-by-step explanation:
Need some help with congruence and similarity
(Picture bellow)
Answer:
a and b are similarity i think that's what your looking 4 idk
Step-by-step explanation:
what are the similarities in the pythagorean theorem and the distance formula
Answer:
The Pythagorean theorem states that, for all 90-degree triangles, the relationship between the lengths of the sides is given by the formula a^2 + b^2 = c^2.
DISTANCE FORMULA
The study of geometry in a graphical environment is called co-ordinate geometry.
In co-ordinate geometry, the standard formula for calculating the distance between 2 points is called the distance formula.
Step-by-step explanation:
Answer:
Short answer: They are essentially the same thing.
The distance formula is derived from the Pythagorean Theorem
We have distance formula:
[tex]D = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Pythagorean Theorem:
[tex]a^2+b^2=c^2 \Rightarrow c=\sqrt{a^2+b^2}[/tex]
The shortest distance between two points if a line. If you draw a line in the cartesian plane both points will have an x-coordinate and y-coordinate. Note that it forms a right triangle! Therefore, the distance between those points is the hypotenuse.
We can have a point [tex]a=(x_{1}, y_{1})[/tex] and point [tex]b=(x_{2}, y_{2})[/tex]
But once [tex]a[/tex] and [tex]b[/tex] can be positive or negative:
[tex]c = \sqrt{a^2+b^2}= D = \sqrt{(\pm a)^2+(\pm b)^2}[/tex]
The average cost of a movie ticket is $7.50. If this price increases annually by 7 percent, how much would a movie ticket cost in 9 years?
Question 5 options:
A)
$13.79 per ticket
B)
$12.55 per ticket
C)
$10.99 per ticket
D)
$11.21 per ticket
Answer:
A) $13.79 per ticket
Step-by-step explanation:
Hi, to answer this question we have to apply an exponential increase function:
A = P (1 + r) t
Where:
p = original price
r = increase rate (decimal form)
t= years
A = price after t years
Replacing with the values given:
A =7.50 (1+ [7/100]) ^9
A = $13.79 per ticket
Feel free to ask for more if needed or if you did not understand something.
Which inequality is graphed below?
y<1/4x-1
y>1/4x-1
y<=1/4x-1
y>=1/4x-1
Please help ASAP.Will mark as brainliest.
Answer:
angle 1 and 3, and angle 2 and 4
Step-by-step explanation:
Answer:
1 and 3 AND 2 and 4
Step-by-step explanation:
Supplementary angles are angles that add up to 180, therefore we can assume that any angles that make a straight line together are supplementary. 1 and 4 do not make a straight line. 2 and 3 do not either. So we have to assume that the answer is either 1 and 3 or 2 and 4. Not sure whether you want one or two answers
A piece of duct measures 48 inches. When pieces are fitted together, 1 72 inches is lost connecting each successive length of duct. On the job 7 and 12 pieces of ducting are used. What, in inches is the total length of the finished duct?
Answer:
A piece of duct measures 48 inches.
In each connection, we lost 1.72 inches (it also could be 1/2 inches, but i will go with the other option)
Then:
If we have 7 pieces of duct connected we have 5 connections (the ones in the extremes are not connected between them)
So here we have 7 times 48 inches for the pieces, minus 5 times 1.72 inches for the connections, the length is:
L = 7*48in - 5*1.72in = 327.4 inches.
for the 12 pieces duct, we have 12 pieces and 10 connections, so the length is:
L = 12*48in - 10*1.72in = 558.8 in
Now, if we want to make only one duct with those two, then we must add their lengths, but if we connect them, we also need to subtract the 1.72in of the new connection:
L = 558.8 in + 327.4 in - 1.72in = 884.48 in
Is anyone good at this? Can you answer some of the questions I cant figure out?
Answer:
sure, what questions?
Step-by-step explanation:
Answer:
Sure what are the question
Step-by-step explanation:
PLZ HELPP
Which expressions will help you find the surface area of this right triangular prism? Select all that apply.
11 × 3
1/2 × 3 × 5
4 × 11
5 × 11
Answer:
Select:
11 x 3
4 x 11
5 x 11
Step-by-step explanation:
Notice that the surface area of the prism consists of three rectangles (whose area formula is the product of "length times the width" of each lateral surface), plus the area of two equal right-angle triangles of base 4 and height 3)
Therefore, the formulas we will need to use are:
1) for one of the rectangular faces = 11 x 3
2) for another rectangular face = 5 x 11
3) for the third rectangular face = 4 x 11
4) for each of the triangular bases = [tex]\frac{1}{2}\, base\,*\,height=\frac{1}{2}\,*4\,*\,3[/tex]
Therefore only three formula expressions need to be selected from the given list.
In the following arithmetic number pattern: 5,9,13,17... what is the 100th term?
Reduce -6+b^6 by 2+b^4
A. -8+b^10
B. -4+b^10
C. -4+b^2
D. -8+b^6-b^4
Answer:
D
Step-by-step explanation:
-6 + b⁶ - (2 + b⁴) = - 6 + b⁶ - 2 - b⁴ {Now add the like terms}
= -6 - 2 + b⁶ - b⁴
= -8 + b⁶ - b⁴
Work out the value of 2^3 + 5^2
Answer:
33
Step-by-step explanation:
A number raised to a power is that number multiplied by itself that many times. 2^3 is equal to 2 x 2 x 2, which is equal to 4 x 2, which is equal to 8. 5^2 is equal to 5 x 5, which is equal to 25. 8 plus 25 is equal to 33.
I need help cause I don’t understand the concept
Answer:
make a graph based on the equation
Step-by-step explanation:
then match the graph you made to the answer choices
You pick a card at random, put it back, and then pick another card at random.
2 3 4 5
What is the probability of picking a number greater than 3 and then picking a 5?
Answer:
12.5%
Step-by-step explanation:
out of the 4 cards only two are >3 (4 and 5)
so 2/4 on the first choice (simplified to 1/2)
picking a 5 is 1/4 since there is only one 5
since they are happening at the same time multiply the two probabilities
1/2*1/4
=1/8
=0.125
=12.5%
Nichole bought a gift for her friend. She
placed the gift in a box with the length
of 10 inches, width of 5 inches, and
height of 2 inches. What is the surface
area of the box?
Answer:
10 by 5 =50
10 by 5=50
10 by 2=20
10 by 2=20
2 by 5=10
2 by 5=10
100+40+20=160
2y + 18x = 2x(x + 9)
3(y - 4) = 9x - 12-6
Help! Please show work and match the algebraic functions to the correct graph.
Answer:
2y + 18x = 2x(x + 9) ⇒ Graph II
3(y - 4) = 9x - 12-6 ⇒ Graph I
Step-by-step explanation:
Graph II is the only non-linear function since, correctly, it is written that it is not straight, i.e. it has a varying gradient/rate of change.
Answer:
Graph 2 is a curved graph and matches x^2 measured data.
Step-by-step explanation:
The sum of 2 numbers is 24. One number is equal to four times the second number added by 4. Determine the two numbers.
Answer: smaller number is 4, bigger number is 20
Step-by-step explanation:
24 - 4 = 20
4 * 4 = 16
20 - 16 = 4
Answer:
4 and 20.
Step-by-step explanation: