Answer:
128 miles.
Step-by-step explanation:
The police car is driving at a constant speed of 64 mph so you simply have to multiply the rate by the time to get the distance.
64 * 2 = 128 miles
Hope this helps!
If the measure of the base of a triangle is 3b+2 and the height is 4b,represent the area of the triangle
Answer:
6b^2 +4b
Step-by-step explanation:
The area of a triangle is
A = 1/2 bh
A = 1/2 * (3b+2) * (4b)
=1/2 (12 b^2 +8b)
= 6b^2 +4b
I need help on answering this question
Answer:
The answer is 72°Step-by-step explanation:
Since < RQS = < QLK and < RQS = x
< QLK is also x
< QLK and < KLM lie on a straight line
Angles on a straight line add up to 180°
To find x add < QLK and < KLM and equate them to 180°
That's
< QLK + < KLM = 180°
x + x - 36 = 180
2x = 180 - 36
2x = 144
Divide both sides by 2
We have the final answer as
x = 72°Hope this helps you
Find the solution for this system of equations. 2x - 3y = 2 x= 6y -5
Answer:
Step-by-step explanation:
2(6y - 5) = 2
12y - 10 = 2
12y = 12
y = 1
x = 6(1) - 5
x = 6 - 5 = 1
(1,1)
Answer: (1,1)
Step-by-step explanation: 2(6y - 5) = 2
12y - 10 = 2
12y = 12
y = 1
x = 6(1) - 5
x = 6 - 5 = 1
(1,1)
type in symbols to make 2,3,7, and 12 equal 55
Answer: 3(7+12) - 2
Step-by-step explanation:
which of the following shows maximum rise in temperature?
a} 23 to 32
b} [ -10] to 1
c} [-18] to [-11]
d} [-5] to 5
Answer:
b) (-10) to 1Step-by-step explanation:
it shows the maximum rise in temperature.
Answer:
b answer, will show the rise in temperature
If graphs have a linear equations in a system are concurrent having the same slope and the same y-intercept what does that mean about possible solutions
Answer:
Infinite Amount of Solutions
Step-by-step explanation:
Since we have concurrent systems (same slope + same y-int), we know that the systems of equations would be the exact same line. If that is the case, the we would know that ANY value input would work. You could even test it mathematically, and it would give you infinite amount of solutions.
Solve : (i) 5x+3/4 - 2x-4/3 = 5 (ii) 3(x+5) - 2(3x-1) = 15
Answer:
(i) x = 67/4
(ii) x = 2/3
Step-by-step explanation:
(i)
5x + 3/4 - 2x - 4/3 = 5 add like terms
3x -7/12 = 5
3x = 5 + 7/12 ➡ 3x = 67/12 and x = 67/4
(ii)
3(x+5) - 2(3x-1) = 15 ➡ 3x + 15 - 6x + 2 = 15 add like terms
17 - 3x = 15
2 = 3x and x = 2/3
HELP ME PLEASE ASAP! Zoe is making a quilt. The ratio of red squares to green squares is 2 to 3. She uses a total of 55 squares. How many green squares does she use?
Answer: 33
First you divide 55 by 5 to get the total number of squares in one part, which equals 11. Then you multiply by 3 since there are 3 parts of green squares to get your answer, 33.
When three is added to four times a number, the result is 15
(a) Write an equation to represent the above information.
Answer
(b) Solve your equation in (a)
Answer:
A. 4y + 3 = 15
B. y = 3
Step-by-step explanation:
Three is added to four times a number, the result is 15
A. Equation to represent the above information:
Let the unknown number= y
4 * y + 3 = 15
4y + 3 = 15
B. Solve your equation in (a)
4y + 3 = 15
Collect like terms
4y = 15 - 3
4y = 12
Divide both sides by 4
4y / 4 = 12 /4
y = 3
Therefore, the unknown number is 3
2. Peter, Jeff, and John, each perform subtraction incorrectly as follows:
How would you explain their mistake to each of them?
Peter:
Jeff:
John:
Answer:
peter: subtraction mistake at unit place . wrote 6 in place of 9
Jeff: subtraction mistake at tens place: wrote 4 while the correct digit is 3
peter: He has written 3 at unit place while correct digit is 2
John: he has carried 1 twice from 5 at hundred place and then subtracted 2 from it which gives value 1 at hundred place.
Step-by-step explanation:
we have to subtract 503 from 269
9
4 10 13
503
-269
____
234
Solution
since 3 is less than 9 , we take a carry from 0 but 0 cannot be carries so we take 1 carry from 5\
thus
5 becomes 4, 0 becomes 10,
now 10 can be give 1 carry to 3 at unit place, so 3 becomes 13
now 9 is subtracted from 13
13-4 = 9
this is the mistake of Peter
he has written 6 at unit place which should be
peter: subtraction mistake at unit place . wrote 6 in place of 9
____________________________________________________
since , 1 is carried from 10 at tens place, 9 is left at tens place
so we know subtract 6 from 9 at tens place
9-6 = 3
Here mistake is done by Jeff
Jeff: subtraction mistake at tens place: wrote 4 while the correct digit is 3
________________________________________________
at hundred place,
one is taken from 5 , hence 4 is left at hundred place
we have to subtract 2 from 4
4-2 = 2
hence,
Here, mistake done by both both Peter and jeff
peter: He has written 3 at unit place while correct digit is 2
John: he has carried 1 twice from 5 at hundred place and then subtracted 2 from it which gives value 1 at hundred place.
Having trouble.. help?
Answer:
(A) [tex]y = x+3[/tex]
Step-by-step explanation:
Using the values of (-6, -3), (3,6), and (5,8) we can substitute the values into each equation and see if the equation meets the requirements for all 3.
Let's test A first.
[tex]-3 = -6+3[/tex]
Correct, let's try the second pair.
[tex]6 = 3+3[/tex]
Correct, let's try the third pair.
[tex]8 = 5+3[/tex]
So yes, this equation works.
For fun, let's try the other equations.
Let's test B.
[tex]-3 = -6-3[/tex]
This is not true as -6 -3 = -9. So this equation is immediately ruled out.
Let's test C.
[tex]-3 = 2\cdot-6[/tex]
Again this doesn't work, as -6 times 2 is -12. So this equation is also ruled out.
Let's try D.
[tex]-3 = \frac{1}{2}\cdot-6[/tex]
This works, as half of -6 is -3 - however the equation will only work if all 3 pairs work for it.
Let's try the second pair.
[tex]6 = \frac{1}{2}\cdot3[/tex]
This doesn't work, as half of 3 is 1.5. This equation is also ruled out.
Therefore, A is the only equation that works with these pairs.
Hope this helped!
4x + 5y = 19 , 5y - 4x = 38
Answer:
Step-by-step explanation:
Adding both equations
4x+5y+5y-4x=19+38
10y = 57
y= 5.7
Subtracting equation i from ii
5y-4x-4x-5y=38-19
-8x=9
x= -0.9
14. Simplify the expressions
a. 12 - 5y + 21 + y -23
Answer:
10 - 4y
Step-by-step explanation:
Combine like terms. 12, 21 and -23 add up to 10, and -5y + y is -4y.
Then, together, we have 10 - 4y (answer)
Answer:
[tex]\large\boxed{10 - 4y}[/tex]
Step-by-step explanation:
12 - 5y + 21 + y - 23
Combine like terms (add -5y to + y)
12 + 21 - 4y - 23
Add 12 + 21
33 - 4y - 23
Subtract 23 from 33
[tex]\large\boxed{10 - 4y}[/tex]
This is the simplest form of the expression.
Hope this helps :)
Sixty-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual? Sixty-five percent of employees make judgements about their co-workers based on the cleanliness of their desk. You randomly select 8 employees and ask them if they judge co-workers based on this criterion. The random variable is the number of employees who judge their co-workers by cleanliness. Which outcomes of this binomial distribution would be considered unusual?
Answer:
The outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.
Step-by-step explanation:
The outcomes provided are:
(A) 0, 1, 2, 6, 7, 8
(B) 0, 1, 2, 7, 8
(C) 0, 1, 7, 8
(D) 0, 1, 2, 8
Solution:
The random variable X can be defined as the number of employees who judge their co-workers by cleanliness.
The probability of X is:
P (X) = 0.65
The number of employees selected is:
n = 8
An unusual outcome, in probability theory, has a probability of occurrence less than or equal to 0.05.
Since outcomes 0 and 1 are contained in all the options, we will check for X = 2.
Compute the value of P (X = 2) as follows:
[tex]P(X=2)={8\choose 2}(0.65)^{2}(0.35)^{8-2}[/tex]
[tex]=28\times 0.4225\times 0.001838265625\\=0.02175\\\approx 0.022<0.05[/tex]
So X = 2 is unusual.
Similarly check for X = 6, 7 and 8.
P (X = 6) = 0.2587 > 0.05
X = 6 not unusual
P (X = 7) = 0.1373 > 0.05
X = 7 not unusual
P (X = 8) = 0.0319
X = 8 is unusual.
Thus, the outcomes of this binomial distribution that would be considered unusual is {0, 1, 2, 8}.
HELPP ASAP NEEDED MATH
There are $20n$ members in the Trumpington marching band, and when they line up in rows of 26, there are 4 band members left over. If $n$ is an integer and there are fewer than 1000 band members, what is the maximum number of people that could be in the Trumpington marching band?
Answer:
992
Step-by-step explanation:
Divide 1000 by 26.
The answer is 38 and some left over. We don't care what the leftover is because it is nearly 0.5 and that means 13 people were left over.
Take the integer value (38) and multiply it by 26. You get 988.
You want there to be 4 left over. 4 + 988 = 992. That's one way of doing the problem.
Answer: 940 people is the maximum
==========================================
Explanation:
n = 1 means 20n = 20*1 = 20 members total, which is 4 short of making a row of 26 (so the remainder is 20)
n = 2 means 20n = 20*2 = 40 members. 40/26 = 1 remainder 14. We could make one full row with 14 members left over.
20n < 1000 solves to n < 50 after dividing both sides by 20. This means n is smaller than 50. It has to be larger than 0 or else 20n would be 0 or negative. We can write 0 < n < 50 to specify the range for n.
Since n < 50, this means the largest n can get is n = 49.
--------------------
If n = 49, then 20n = 20*49 = 980
980/26 = 37 remainder 18, which isn't the remainder we want (of 4).
If n = 48, then 20n = 20*48 = 960
960/26 = 36 remainder 24, again not the remainder we want
If n = 47, then 20n = 20*47 = 940
940/26 = 36 remainder 4
If we have 940 members, then we can form 36 rows (26 in each row). So 26*36 = 936 people so far. Then we have 940-936 = 4 people left over.
There are other solutions as well such as n = 34, n = 21, and n = 8. Though n = 47 is the largest n possible to fit all the conditions required.
Determine if the following set of ordered pairs represents a quadratic function. Explain.
(5, 7), (7, 11). (9, 14). (11, 18)
(1 point)
Answer:
Option D
Step-by-step explanation:
Given
[tex](5, 7), (7, 11). (9, 14). (11, 18)[/tex]
Required
Determine if the function is quadratic
[tex](5, 7), (7, 11). (9, 14). (11, 18)[/tex]
Start by representing the function as an x-y table
x:- 5 || 7 || 9 || 11
y:- 7 || 11 || 14 || 18
Next; Calculate the difference between the values of y
[tex]Difference: 11 - 7 = 4[/tex]
[tex]Difference: 14 - 11 = 3[/tex]
[tex]Difference: 18 - 4 = 4[/tex]
The resulting difference are: 4 || 3 || 4
Next; Calculate the difference between the difference of values of y
[tex]Difference = 3 - 4 = -1[/tex]
[tex]Difference = 4 - 3 = 1[/tex]
The resulting difference are: -1 || 1
For the function to be quadratic, the above difference must be the same and since they are not, then the function does not represent a quadratic function.
Option D answers the question
How to solve this maths equation??? pls help me, its urgent!!! asap
Answer:
x = [tex]\frac{3wyz}{4wz+wy-2yz}[/tex]
Step-by-step explanation:
Given
[tex]\frac{2}{w}[/tex] + [tex]\frac{3}{x}[/tex] - [tex]\frac{4}{y}[/tex] = [tex]\frac{1}{z}[/tex]
Multiply through by wxyz to clear the fractions
2xyz + 3wyz - 4wxz = wxy ( subtract wxy from both sides )
2xyz + 3wyz - 4wxz - wxy = 0 ( subtract 3wyz from both sides )
2xyz - 4wxz - wxy = - 3wyz ( factor out x from each term on the left side )
x(2yz - 4wz - wy) = - 3wyz ( divide both sides by (2yz - 4wz - wy )
x = [tex]\frac{-3wyz}{2yz-4wz-wy}[/tex] ( multiply numerator/ denominator by - 1 )
x = [tex]\frac{3wyz}{4wz+wy-2yz}[/tex]
tan 21 degrees = 9/x
Answer:
23.4458015822
Step-by-step explanation:
tan(21) = 9/x
9/tan(21) = x
9/tan(21) = 23.4458015822
john is 15 years old. john's mom takes him and his younger soster to a football game. tickets are $22 for adults and $16 for children (18 and under). what is the total cost of thr tickets?
Answer:
$38
Step-by-step explanation:
cost of ticket for adult = $22
cost of ticket for youngster = $16
______________________________
cost of ticket for John's mom = $22 as she is adult
cost of ticket for john = $16 as he is young , his age is less than 18 years
Total cost of ticket for John and his mother = $22 + $16 = $38
Covert the verbal expression into an algebraic expression.
Two more than five times a number x.
Hi there! Hopefully this helps!
----------------------------------------------------------------------------------------------------------
"Two more than five times a number x." means:
2 + 5 × x
What is the solution to the system of equations?
y = -5x + 3
y = 1
(0.4, 1)
(0.8, 1)
(1,0.4)
O (1,0.8)
Answer:
The answer is (0.4, 1)Step-by-step explanation:
y = -5x + 3 ........... Equation 1
y = 1 ................ Equation 2
To solve the equation substitute equation 2 into equation 1
That's
Substitute y = 1 into y = - 5x + 3
So we have
1 = - 5x + 3
Group like terms
- 5x = 1 - 3
- 5x = - 2
Divide both sides by - 5
x = 2/5
x = 0.4Substitute x = 0.4 into equation 1
That's
y = - 5( 0.4 ) + 3
y = - 2 + 3
y = 1The solution for the system of equations is
( 0.4 , 1)Hope this helps you
Answer:
A. (0.4, 1)
Step-by-step explanation:
just took the edg. 2020 unit test
What is one term or multiple terms connected by an addition or subtraction sign
The answer is Like terms.
A person is standing exactly 36 ft from a telephone pole. There is a 30° angle of elevation from the ground to the top of the pole. A person is standing 36 feet from the base of a telephone pole. A line is drawn from the top of the telephone pole to the person to form a right triangle. The angle at the person is 30 degrees. What is the height of the pole? 12 ft 12 StartRoot 3 EndRoot ft 18 ft 18 StartRoot 2 EndRoot ft
Answer:
20.78feet
Step-by-step explanation:
The question made us to understand that the man is standing and also there is angle of elevation, then we need to draw a right triangle having a base equal to 36 feet with an angle from the base to the top of the pole which is 30 degrees.
tan= opposite side / adjacent side
Let height of the pole =h
Tan(30)= h/36
But tan 30degree= 1/√3
h= 36 × 1/√3
h= 20.78feet
Therefore, the height of the pole= 20.78feet
CHECK THE ATTACHMENT FOR DETAILED FIGURE
Answer:
B. 12\sqrt{3} ft
Step-by-step explanation:
if a is an even natural number such that a|208 and (a,b)=1, then find the value of b
this is gauss theroeam
Answer:
b=13
Step-by-step explanation:
2|208
2|104
2|52
2|26
|13
208=2^4×13=16×13
now (16,13)=1
as a is an even number so a=16
b=13
∵g.c.d of 16 and 13=1
or (16,13)=1
Three people found a $20 bill and decided to split it. How many dollars does each person get? Choose the correct answer from the choices below.
Answer:
$6.67
Step-by-step explanation:
$20/3 people
20/3
=6 2/3
=6.67
Each person gets $6.67.
Hope this helps!
Answer: Hi!
If you split a $20 dollar bill evenly in three parts, each person would get about $6.67 dollars. (If you divide 20 by 3, you get a recurring decimal, so it would round to 6.67.)
Hope this helps!
Please help!! Thank you in advance! Will mark Brainliest!
Answer:
F , D, E
Step-by-step explanation:
The smallest angle is opposite the smallest side
The largest angle is opposite the largest side
DE is smallest so F is smallest
Then EF so D
DF is largest so E is the largest angle
Lilli jogs 12 mile in 110 hour. What is Lilli's rate in miles per hour?
Answer:
.109090909 miles per hour
Step-by-step explanation:
To find miles per hour, take the miles and divide by the hours
12 miles/110 hours
.109090909 miles per hour
Answer:
0.11
Step-by-step explanation:
Hello!
To find how many miles Lilli jogs per hour we divide the distance by the time it took
12/110 = 0.109
The answer is 0.11
Hope this helps!
Briefly explain how you would graph an equation such as y=7x-2
Answer:
put a mark at negative 2 on the graph then you would go up seven rigght one until you cant then you would go back to -2 and go down seven left one until you cant
Step-by-step explanation:
for 0°<θ<-180° which of the primary trigonometric functions may have positive values?
sine and cosecant.
you can see the graph or on unit circle, as the for these ratios, (which depend on y coordinate) 1st and 2nd quadrant have positive y coordinate
how many are 2 raised to 5 ???
Answer:
32
Step-by-step explanation:
2^5
This is 2 multiplied by itself 5 times
2*2*2*2*2
32
