Answer:
(2, 0)
Step-by-step explanation:
2x - y = 4
5x + 2y = 10
Solve by elimination by multiplying the top equation by 2, so the y values will cancel out (-2y + 2y = 0)
4x - 2y = 8
5x + 2y = 10
Add them together and solve for x:
9x = 18
x = 2
Plug in 2 as x in one of the equations to find y:
2x - y = 4
2(2) - y = 4
4 - y = 4
-y = 0
y = 0
The solution is (2, 0)
What is the median of the following set of measurements?
"22 kg, 24 kg, 28 kg, 19 kg, 27 kg",
The median of the measurements is kg.
Answer:
24 kg
Step-by-step explanation:
The median can be found by putting the numbers in order and then finding the middle value.
In order from least to greatest:
19, 22, 24, 27, 28
24 is the middle value
So, 24 kg is the median.
Answer:
24 kg
Step-by-step explanation:
The median is the number in the middle of the data set. To find the median, arrange the numbers from least to greatest, then locate the middle number.
1. Arrange the numbers from least to greatest
Numbers: 22 kg, 24 kg, 28 kg, 19 kg, 27 kg
Least to greatest: 19 kg, 22 kg, 24 kg, 27 kg, 28 kg
2. Locate the middle number
Cross one number off each end of the set until the middle is reached.
19 kg, 22 kg, 24 kg, 27 kg, 28 kg
Cross off 19 and 28
22 kg, 24 kg, 27 kg
Cross off 22 and 28
24 kg
The middle number has been reached.
median= 24 kg
The median of the measurements is 24 kilograms.
Find the distance between points K(−1, −3) and L(0, 0). Round to the nearest tenth.
Answer:
d = √10
Step-by-step explanation:
[tex]K(-1, -3) , L(0, 0).\\\\d=\sqrt{((x_2-x_1)^2+ (y_2-y_1)^2) } \\\\x_1 =-1\\\\y_1 =-3\\\\x_2 =0\\\\y_2 =0 \\\\d = \sqrt{(0-(-1))^2+(0-(-3))^2}\\\\ d = \sqrt{(0+1)^2+(0+3)^2}\\\\ d = \sqrt{(1)^2 + (3)^2}\\\\ d = \sqrt{1 + 9}\\\\ d = \sqrt{10} \\[/tex]
Answer:
[tex]\huge\boxed{|KL|=\sqrt{10}\approx3.2}[/tex]
Step-by-step explanation:
METHOD 1:The formula of a distance between two points (x₁; y₁) and (x₂; y₂):
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We have K(-1; -3) and L(0; 0). Substitute:
[tex]|KL|=\sqrt{(0-(-3))^2+(0-(-1))^2}=\sqrt{3^2+1^2}=\sqrt{9+1}=\sqrt{10}}[/tex]
METHOD 2:Look at the picture.
We have the right triangle with the legs 3 and 1.
Use the Pythagorean theorem:
[tex]leg^2+leg^2=hypotenuse^2[/tex]
substitute:
[tex]3^2+1^2=|KL|^2\\\\|KL|^2=9+1\\\\|KL|^2=10\to|KL|=\sqrt{10}[/tex]
Factor completely 3x^2 - x - 4
A.(3x - 4)(x + 1)
B.(3x + 4)(x - 1)
C.(3x - 2)(x + 2)
D.(3x - 1)(x + 4)
Answer:
B. [tex](3x-4)(x+1)[/tex]
Step-by-step explanation:
If 4th term of an AP is 0. Prove that 25th term is triple the 11th term
Answer:
The 4th term = a+3d = 0,
or a = -3d.
The 25th term = a+24d = -3d+24d = 21d. ...
the 25th term is 3 times the 11th term. Proved.
Answer:
a^25 = 3 x a^11 .
Step-by-step explanation:
Given a^4 = 0
That is (a + 3d) = 0
⇒ a = - 3d ........... (1)
nth term of AP is given by an = a + (n – 1)d
a^11 = a + 10d = – 3d + 10d = 7d [From (1)]
a^25 = a+ 24d = – 3d + 24d = 21d [From (1)]
Hence
The answer is a^25=3 x a^11
Convert the following: 2 liters is equivalent to ounces (rounded to the nearest hundredth)
Answer:
67.63 oz
Step-by-step explanation:
1 liter = 33.814 oz
2 litres = 2 x 33.814 oz = 67.628 oz
Kyle rides his bicycle 15 mph for 2 hours how far does he travel
━━━━━━━☆☆━━━━━━━
▹ Answer
30 miles
▹ Step-by-Step Explanation
Multiply mph by hours:
15 mph * 2 hrs = 30 miles
Hope this helps!
CloutAnswers ❁
━━━━━━━☆☆━━━━━━━
Gavin is selling water bottles at a baseball game to help raise money for new uniforms.
Before the game, he buys 48 water bottles for a total of $18.50. At the game, he sells all of
the bottles for $1.25 each. How much profit does Gavin make?
The profit made by Gavin at the end of the game is $0.87 per bottle.
How to calculate profit?The profit can be calculated by taking the difference of selling price and the cost price.
Given that,
The number of bottles bought for $18.50 is 48 and sold for $1.25 each.
Then, the cost for one bottle is 18.50/48 = $0.38.
As per the question the profit made can be calculated as the difference of selling price and cost price as,
Profit = Selling price - Cost Price
= 1.25 - 0.38
= $0.87
Hence, the profit earned by Gavin is given as $0.87 for each bottle.
To know more about profit click on,
https://brainly.com/question/7544724
#SPJ6
I need help and fast!!!!
Answer:
H. b/a
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Label our variables
y₂ = 2b
y₁ = b
x₂ = 2a
x₁ = a
Step 2: Plug into formula
m = (2b - b)/(2a - a)
Step 3: Evaluate
m = b/a
Answer:
b/a
Step-by-step explanation:
We have two points so we can use the slope formula
m = (y2-y1)/(x2-x1)
= ( 2b - b)/ ( 2a -a)
= b/a
solving polynomial(-2y-6)(-3y-8)
Answer:
(-2y-6)(-3y-8)
= 6y²+16y+18y+48
= 6y²+ 34 y +48
Hope this helps
if u have question let me know in comments ^_^
Answer:
Here is your answer!!!
Step-by-step explanation:
-2y(-3y-8)-6(-3y-8)
6y^2+16y+18y+48
6y^2+34y+48
Ikyume is 62m away from Amadi, on a bearing of 012°. Becky is 42m away from Ikyume and on bearing of 082°. How far is Amadi from Becky, and on what bearing?
Answer:
Amadi is 86m far from Becky
Amadi is on the bearing of 78° .
Step-by-step explanation:
From the information given ,
let I represent Ikyume
A represent Amadi and B represent Becky
From the information in the diagrammatic expression shown below:
Using cosine rule;
i² = a² + b² - 2ab cos (I)
i² = 42² + 62² - 2(42×62) cos (110°)
i² = 1764 + 3844 - 5208 (- 0.342)
i² = 1764 + 3844 - ( - 1781.136)
i² = 1764 + 3844 + 1781.136
i² = 7389.136
i = [tex]\mathtt{\sqrt{7389.136}}[/tex]
i = 85.96
i [tex]\simeq[/tex] 86 m
Amadi is 86m far from Becky
From point I , 12° = 12° at point A (alternate angles)
In that quadrant = 90 - 12° = 78°
Therefore, Amadi is on the bearing of 78° .
A study table of length 2 m and breath 1.25 m in decorted with square design of size 10x 10 find the number of such designs???
Answer:
250Step-by-step explanation:
Assuming that the shape of the table be rectangular in nature.
Area of the study table = Length * Breadth
Area of the study table = 2m * 1.25m
Area of the study table = 200cm * 125cm (since 100cm = 1m)
Area of the study table = 25000cm²
If the study table is decorated with square design of size 10cm x 10cm, the area of one square design is 100 cm².
The number of such square designs = Area of the study table/area of one square design
The number of such square designs = 25000cm²/100cm²
The number of such square designs = 250
Hence the number of such design is 250
Y=-5x+30 x=10 what is the solution to the system of equations 1)(-20,10) 2)(10,-20) 3)(10,4) 4)(4,10)
Answer:
2) (10, -20)Step-by-step explanation:
y = - 5x + 30 and x = 10 ⇒ y = -5•10 + 30 = -50 + 30 = -20
x = 10 and y = -20 ⇒ (10, -20)
Answer:
Its B. (10, –20)
Step-by-step explanation:
I just took the quiz on edge
-4-(3+6²)÷13-1²•(-12)=
Answer:
5
Step-by-step explanation:
-4-(3+6²)÷13-1²•(-12)=
PEMDAS
parrenthesis:
-4-81÷13-1² x (-12)
exponent:
-4-81÷12 x (-12)
multiplication:
-4-81÷ (-144)
divison:
- 4 - (- 9)
subtraction (Actaully addition +):
= 5
-(- makes plus so -4 + 9 makes 5
Hope this helps, have a good day!! :)
can someone plzz answer dis ma braincells dont seem to work
Answer:
Good luck undersatnding.
Step-by-step explanation:
1.
A) 27 (over) 4
B) 97 (over) 117
2.
C) 8
D) -243 (over) 32
3.
Square root of 25 is 5
Square root of 16 is 4
Square root of 9 is 3
Square root of 1 is 1
4.
E) 553 (over) 72
F) 11 (over) 56
G) 65 (over) 18
H) 28 (over) 9
5.
E) 35941
F) 81130
G) 79567.75
H) 20525.857
I dont know 7-8
9.
E) Negative
F) Positive
G) Positive
H) Negative
10.
Square root of 25 is 5
Square root of 64 is 8
Square root of 121 is 11
Square root of 225 is 15
I couldn't post images for 6, it wont let me.
Jake ran 4 1/4 miles on Monday and 2 2/3 miles on Tuesday. On Wednesday he ran 1 fewer miles then he ran on Monday. How many miles did he run in all? PLEASE SHOW YOUR WORK I WILL MARK YOU BRAINLIEST AND PLEASE EXPLAIN
Answer:
Jake ran 10 1/6 miles in total
Step-by-step explanation:
4 1/4 + 2 2/3 - (4 1/4-1).
v
6 11/12 + 3 1/4
v
6 11/12 + 3 3/12 = 10 1/6
Jake ran 10 1/6 miles in total (Mon, Tues, Wed).
Answer:
61/6 or 10.1666666667
Step-by-step explanation:
Monday = 4 1/4
Tuesday = 2 2/3
Wednesday = Monday - 1
=> Monday = 17/4 miles
=> Tuesday = 8/3 miles
=> Wednesday = 17/4 - 4/4 = 13/4 miles.
=> (17/4 + 13/4) + 8/3
=> 30/4 + 8/3
=> Take the LCM of the denominators.
=> LCM = 12
=> 90/12 + 32/12
=> 122/12
SImplify 122/12
=> 61/6 or 10.1666666667
Simplify to create an equivalent expression.
5(10k + 1) + 2(2+8k)
Answer:
66k+9
Step-by-step explanation:
Let's simplify step-by-step.
5(10k+1)+2(2+8k)
Distribute:
=(5)(10k)+(5)(1)+(2)(2)+(2)(8k)
=50k+5+4+16k
Combine Like Terms:
=50k+5+4+16k
=(50k+16k)+(5+4)
=66k+9
Answer:
=66k+9
HOPE THIS HELPS!!!!!! :)
<3333333333
Helppp thanksss!!!!!!
Answer:
1 mile
Step-by-step explanation:
in 20 minutes Stuart has gone 1 mile
in 20 minutes Brandy has gone 4 miles
therefore they meet 1 mile from Stuart's house
Answer:
1 mile
Step-by-step explanation:
The speed of a car going 50 miles per hour is equivalent to a speed of 80 kilometers per hour. At this rate, what is the speed, in kilometers per hour, of a car that is going 30 miles per hour?
Answer:
48 km/h
Step-by-step explanation:
80/50*30=48 km/h
Which one of these relations are functions ?
Please helpppp fast
Answer:
the 4th and 6th one
Step-by-step explanation:
A function is when there are x- and y-values but each x value has only 1 y-value
Simple: If the x-value is repeated its not a function
Answer:
Step-by-step explanation:
1,2,3
Suppose y varies jointly as x & z. If y = -180 when z = 15and x = -3,then find y when x = 7 and z = -5.
Answer:
y = - 140
Step-by-step explanation:
Given that y varies jointly as x and z then the equation relating them is
y = kxz ← k is the constant of variation
To find k use the condition y = - 180 when z = 15 and x = - 3, thus
- 180 = k × - 3 × 15 = - 45k ( divide both sides by - 45 )
4 = k
y = 4xz ← equation of variation
When x = 7 and z = - 5, then
y = 4 × 7 × - 5 = - 140
The quotient of x^2+x-6/x^2-6x+5*x^2+2x-3/x^2-7x+10 has ___ in the numerator and ______ in the denominator.
Answer:
So the quotient of [tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex] has (x + 3)² in the numerator and (x + 5)² in the denominator.
Step-by-step explanation:
[tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex]
Factorizing the expressions we have
[tex]\frac{x^{2} + 3x -2x - 6}{x^{2} -x - 5x + 5} X \frac{x^{2} + 3x - x - 3}{x^{2} -2x -5x + 10}[/tex]
[tex]\frac{x(x + 3)- 2(x + 3)}{x(x -1) - 5(x - 1)} X \frac{x(x + 3) - 1(x + 3)}{x(x - 2) - 5(x - 2)}[/tex]
[tex]\frac{(x + 3)(x - 2)}{(x - 5)(x - 1)}X\frac{(x + 3)(x - 1)}{(x - 2)(x - 5)}[/tex]
Cancelling out the like factors, (x -1) and (x - 2), we have
[tex]\frac{(x + 3)(x + 3)}{(x - 5)(x - 5)}[/tex]
= [tex]\frac{(x + 3)^{2} }{(x + 5)^{2} }[/tex]
So the quotient of [tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex] has (x + 3)² in the numerator and (x + 5)² in the denominator.
What is a discrete probability distribution? What are the two conditions that determine a probability distribution? What is a discrete probability distribution? Choose the correct answer below. A. A discrete probability distribution exclusively lists probabilities. B. A discrete probability distribution lists each possible value a random variable can assume, together with its probability. C. A discrete probability distribution lists each possible value a random variable can assume. D. None of the above
Answer:
The answers to the question above are given below:
Step-by-step explanation:
Question: What is a discrete probability distribution?
Answer
A discrete distribution is very important in data research as it shows in tabular form the probabilities that can be found in a list of distribution values and their individual probabilities in counted data. Usually, from the pool of distribution of numbers, the discrete distribution shows the probability of having countable numbers out of the pool.
Question: Choose the correct answer below. A. A discrete probability distribution exclusively lists probabilities. B. A discrete probability distribution lists each possible value a random variable can assume, together with its probability. C. A discrete probability distribution lists each possible value a random variable can assume. D. None of the above
The correct answer is: option B "discrete probability distribution lists each possible value a random variable can assume, together with its probability."
Question: What are the two conditions that determine a probability distribution?
The correct answer is:
1. Since each value may not be zero, each probability must include between 0 and 1.
2. When probabilities are totaled, it must give 1.
Hellllllllllppppppppppp please
Answer:
As x decreases in value.f(x) decreases in value.......
what is y ? x=1 y=? y=3x-7
Answer:
-4.
Step-by-step explanation:
y = 3x - 7; x = 1.
y = 3(1) - 7
= 3 - 7
= -4
Hope this helps!
Answer:
y = - 4
Step-by-step explanation:
y=3x-7
Let x =1
y = 3*1 -7
y = 3-7
y = - 4
3-2(x-1)=2+4x
How do you solve
Answer:
x = 1/2
Step-by-step explanation:
3 - 2(x - 1) = 2 + 4x
3 - 2x + 2 = 2 + 4x
-2x + 5 = 2 + 4x
-2x - 4x = 2 - 5
-6x = -3
x = -3/-6
x = 1/2
Shea made 11 of her first 17 free-throw attempts. What is the minimum number of her next 20 free-throw attempts that she must make for her overall success rate to be at least $80\%$? Express your answer to the nearest whole number.
Answer:
19 throws.
Step-by-step explanation:
For her success rate to be 80% in 37 throws she must make 0.8 * 37
= 29.6 throw - that is 30 to nearest throw.
So for the next 20 throws she must make 30 - 11 = 19 throws.
Solve the equation for X (If possible please show work)
Answer:
the correct answer is x=5
Help? It hard I try my best on a Separate picese
============================================
Work Shown:
3 & 1/2 = 3 + 1/2 = 3 + 0.5 = 3.5
3.5% = 3.5/100 = 0.035
r = 0.035 is the decimal form of [tex]3\frac{1}{2}\%[/tex] which is used along with
P = 500 (principal deposit)n = 12 (compounding 12 times a year)t = 0.5 (6 months is half a year)to get the following
A = P*(1+r/n)^(nt)
A = 500*(1+0.035/12)^(12*0.5)
A = 508.81405074594
A = 508.81
Extra info: Gabe earned A-P = 508.81 - 500 = 8.81 dollars in interest.
the cube root of 2 to the seventh power
Answer:
4 2^(1/3) or 5.0396841995794926590688424291129134022810058588060319203279004486... decimal
Step-by-step explanation:
Simplify the following:
(2^(1/3))^7
Hint: | For all a>=0, (a^(1/3))^m = a^(m/3). Apply this to (2^(1/3))^7.
Multiply exponents. (2^(1/3))^7 = 2^(7/3):
2^(7/3)
Hint: | Separate the exponent of 2^(7/3) into integer and fractional parts.
2^(7/3) = 2^(6/3 + 1/3) = 2^(6/3)×2^(1/3):
2^(6/3) 2^(1/3)
Hint: | Divide 6 by 3.
6/3 = (3×2)/3 = 2:
2^2 2^(1/3)
Hint: | Evaluate 2^2.
2^2 = 4:
Answer: 4 2^(1/3) or 5.0396841995794926590688424291129134022810058588060319203279004486... decimal
hello :) why is the first one wrong?
Answer:
The cube only belongs to the x and not 2x.
The statement will only be true if there is a bracket around the 2x.
log₃(2x)³= 3log₃2x
logarithm power rule:
logₐ(x)^y = y ∙ logₐ(x)
Answer:
see explanation
Step-by-step explanation:
Given
[tex]log_{5}[/tex] 2x³
= [tex]log_{5}[/tex] 2 + [tex]log_{5}[/tex] x³
= [tex]log_{5}[/tex] 2 + 3[tex]log_{5}[/tex] x
