Answers
Answer:
Step-by-step explanation:
The last step should be: using distributive property by taking out of parentheses the common factor √5
4√5 + 9√5 = √5(4 + 9) = 13√5
The error is made at the last step
it should be 13√5 instead of 13√10.
Related Questions
1−2+3−4+5−6 + ⋯ +101−102
Answers
Answer:
-4
Step-by-step explanation:
1-2=-1+3=2-4=-2+5=3-6=-3+101=98-102=-4
I hope I am right
It takes 3 2 ⁄6 spoons of chocolate syrup to make 2 3 ⁄5 gallons of chocolate milk. How many spoons of syrup would it take to make 4 gallons of chocolate milk?
Answers
Answer:
Step-by-step explanation:
This is a proportion question.
change 2.6 to a decimal. 2/6 = 1/3 = 0.3333333
change 3/5 to a decimal 3/5 = 0.6
3.3333 / 2.6 = x / 4 Cross multiply
4*3.33333 = 2.6x Combine the left.
13.33333= 2.6x Divide by 2.6
13.3333/2.6 = x
x = 5.128 spoons of syrup.
Solving systems of equations x+y=10 y=x-4
Answers
Answer:
(7,3)
Step-by-step explanation:
PLEASE HELP ME ASAP
Solve for x in the diagram below
Answers
Answer:
x=12
Step-by-step explanation:
The right angle is congruent to the other side. So 90-20=70. 6x-2=70. Add 2 to both sides to cancel out the minus 2. 6x=72 72/6=12
Answer:
[tex]\huge\boxed{\sf x = 12}[/tex]
Step-by-step explanation:
6x - 2 + 20 = 90 [Complementary Angles]
6x + 18 = 90
Subtracting 18 to both sides
6x = 90 - 18
6x = 72
Dividing both sides by 6
x = 12
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AnonymousHelper1807b). Kirchoff has more money than Maxi. If Kirchoff gave Maxi $20, they would have the
same amount. While it Maxi gave Kirchoff $22, Kirchoff would then have twice as much as
Maxi. How much does each one actually have?
Answers
Answer:
k = 146
m= 106
Kirchoff has $146
Maxi has $106
Step-by-step explanation:
For the purpose of the equations, I’ll call Kirchoff and Maxi a and b respectively.
a - 20 = b + 20 (equation 1)
2(b - 22) = a + 22 (equation 2)
We can juggle those around for
a = b +40 (equation 1r (re-arranged)) and
2b - 44 = a + 22 so 2b - 66 = a (equation 2r (rearranged))
The equations are now:
a = b + 40 (new equation 1) and
a = 2b - 66 (new equation 2)
Substitute from new equation 1 to new equation 2:
b + 40 = 2b - 66 so 40 = b - 66 making b = 106.
Plug b = 106 into new equations 1 and 2 for:
a = 106 + 40 (new equation 1) and
a = 212 - 66 (new equation 2)
This gives a = 146 and b = 106
TEST: There’s a gap of $40, so giving $20 from a to b makes them equal.
SECOND TEST: Subtracting $22 from b makes it $84 and giving that sum to a makes it $168, twice as much. The tests work.
Kirchoff has $146 and Maxi has $106.
help pls, this is geometry
Answers
Answer:
sas - meaning side angle side
Step-by-step explanation:
Aaron needs to hire a waiter. Waiter A is offering his services for an
initial $25 in addition to $5.25 per hour. Waitress B is offering her
services for an initial $30 in addition to $4.25 per hour. When will the
two waiters charge the same amount of money?
Answers
Answer:
In 4 Hours
Step-by-step explanation:
1 hour: A: 30.25 B: 34.25
2 hours: A: 35.5 B: 38.5
3 Hours: A: 40.75 B: 42.75
4 Hours: A: 46 B: 46
Suppose 15% of x equals 20% of y. What percentage of x is y?
a) 5 b) 35 c) 75 d) 133 1/5 e) 300
Answers
Answer:
c)15
Step-by-step explanation:
Confirmed by rsm
A percentage is a way to describe a part of a whole. x is 133¹/₃% of y. The correct option is D.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that 15% of x equals 20% of y. Therefore, we can write,
15% of x = 20% of y
(15/100) × x = (20/100) × y
Multiply both the sides of the equation by 100,
(15/100) × x × 100 = (20/100) × y × 100
15x = 20y
x/y = 20/15
Divide both the sides of the equation by 5,
x/y = 4/3
Now, the percentage of x that is y is,
Percentage = (x/y) × 100%
= (x/y) × 100%
= (4/3) × 100%
= 133.33%
= 133 ¹/₃ %
Hence, x is 133.33¹/₃% of y.
Learn more about Percentages here:
https://brainly.com/question/6972121
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Determine which of the values is a solution of 14>22−2z. My options are 2, 5, 7, 3, -4, 0
Answers
Answer:
I think -4
Step-by-step explanation:
Solve the following system of equations:
Y=x^2+4x+4
Y=x+2
What is the value of y?
Answers
Answer:
y=4, y=2
Step-by-step explanation:
It is possible to get 2 solutions when the system of equations is: (check all that apply)
A system of 2 linear equations in 2 variables
A system of 3 linear equations in 3 variables
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation
Answers
Answer:
A system of the equation of a circle and a linear equation
A system of the equation of a parabola and a linear equation
Step-by-step explanation:
Let us verify our answer
A system of the equation of a circle and a linear equation
Let an equation of a circle as [tex]x^2+ y^2 = 1[/tex] ..........(1)
Let a liner equation Y = x ............(2)
substitute (2) in (1)
[tex]x^2 + x^2 = 1\\2x^2 = 1\\[/tex]
[tex]x^2 = \frac{1}{\sqrt{2} } \\x = +\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex] so Y = [tex]+\frac{1}{\sqrt{2} } , -\frac{1}{\sqrt{2} }[/tex]
so the two solution are ( [tex](\frac{1}{\sqrt{2} } ,\frac{1}{\sqrt{2} }) (-\frac{1}{\sqrt{2} }, -\frac{1}{\sqrt{2} }[/tex])
A system of the equation of a parabola and a linear equation
Let equation of Parabola be [tex]y^2 = x[/tex]
and linear equation y = x
substitute
[tex]x^2 = x\\x^2 - x= 0\\x(x-1) = \\x = 0 , 1[/tex]
Y = 0,1
so the two solutions will be (0,0) and (1,1)
Does this look good I made it this morning
Answers
Answer:
looks delicious
Step-by-step explanation:
Answer:
Man looks so good!
Step-by-step explanation:
Send me some in the mail. lol ☺☻♥
camila has a younger brother and an older brother. one is three years younger than her and the other is 5 years older than her
Answers
Answer:
59 years and younger
Step-by-step explanation:
5/8 divided by 1 and 1/3?
Answers
Answer:
15/32
Step-by-step explanation:
First convert 1 1/3 to improper fraction:
1 1/3 = 4/3
5/8 divided by 4/3 is same as...
[tex]\frac{5}{8} * \frac{3}{4} = \frac{15}{32}[/tex]
04.01 mc y-2x=-1 and 2y-x=4 choose the correct graph of the given systems of equations
Answers
Answer:
1st one m=0
y= 0.49875311x / cm
No horizonal asymptotes
x= 1/2 + 2.005 mcy
2nd one is
slope 1/2
y intercept (0,2)
x y
-4 0
0 2
Step-by-step explanation:
for 2
starting point ay y 2 make a point
then rise over run
go up 1 and to the right 2 and point , then up 1 and to the right 2 and point
there is your graph
The Ironman endurance race has a 2.4 miles swim. Javier can swim 0.5 miles in 20 minutes. If he can continue this pace, it will take him hours to finish the swim event.
Answers
Given :
The Ironman endurance race has a 2.4 miles swim.
Javier can swim 0.5 miles in 20 minutes.
To Find :
How much time in hours it takes to complete the race.
Solution :
Speed of Javier :
[tex]s=\dfrac{2.4}{\dfrac{20}{60}}\ mph\\\\s= 7.2\ mph[/tex]
Let, time taken to cover 2.4 miles is t .
So,
[tex]t = \dfrac{2.4}{7.2}\ hours\\\\t = 0.33\ hours[/tex]
Hence, this is the required solution.
Which of the following is a composite number between 20 and 40?
A.
37
B.
36
C.
31
D.
29
Answers
Answer:
B, 36
Because, a composite number has factors
The others are prime
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Find the area of the triangle
Answers
Answer:
The area of the triangle WYX = [tex]\frac{35}{2}[/tex] = 17[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The area of the triangle WYX is [tex]\frac{1}{2}[/tex]*b*h
We need to find base (b) and height (h)
By counting from the drawing, the base which is horizontal is 7 and the height which is vertical is 5
The area of the triangle WYX is [tex]\frac{1}{2}[/tex]*b*h
The area of the triangle WYX = [tex]\frac{1}{2}[/tex]*7*5 = [tex]\frac{35}{2}[/tex] = 17[tex]\frac{1}{2}[/tex]
22. Determine the value of c so that the line
segment with endpoints B(2, 2) and C(9,6)
BC
is parallel to the line segment with endpoints
D(c, -7) and E(5, -3).
help is appreciated !!!
Answers
Answer:
If the lines BC and DE are parallel, the value of c is c=-2
Step-by-step explanation:
We are given line segment BC with end points B(2, 2) and C(9,6) and line segment DE with endpoints D(c, -7) and E(5, -3).
Using slope formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex] we can find point c
When 2 lines are parallel there slope is same.
So, Slope of line BC =Slope of Line DE
[tex]\frac{y_2-y_1}{x_2-x_1}=\frac{y_2-y_1}{x_2-x_1}[/tex]
We have:
[tex]x_1=2, y_1=2, x_2=9, y_2=6 \ for \ line \ BC \ and \\\x_1=c, y_1=-7, x_2=5, y_2=-3 \ for \ line \ DE \[/tex]
Putting values and finding c
[tex]\frac{6-2}{9-2}=\frac{-3-(-7)}{5-c}\\ \frac{4}{7}=\frac{-3+7}{5-c} \\ \frac{4}{7}=\frac{4}{5-c} \\Cross \ multiply:\\4(5-c)=4*7\\20-4c=28\\-4c=28-20\\-4c=8\\c=\frac{8}{-4}\\c=-2[/tex]
So, If the lines BC and DE are parallel, the value of c is c=-2
why is sin(90 degrees) = 1. I know that that is the answer you get when you plug it into a calculator. I need an explanation as to why it equals 1
Answers
Answer:
Sin 90 = 1/1 = 1
Use trigonometry formula and a triangle with lengths of 1
William left his house at time zero and drove to the store, which is 8 blocks away, at a speed of 2 blocks per minute. Then he stopped and went into the store for 2 minutes. From there, he drove in the same direction at a speed of 4 blocks per minute until he got to the bank, which is 16 blocks away from the store. He stopped at the bank for 5 minutes. Then he drove home at a speed of 12 blocks every minute. Make a graph showing the number of blocks away from home that William is x minutes after he leaves his house, until he get back home.
Answers
Answer:
17 minutes
Step-by-step explanation:
First distance in blocks and time.
x1= 8 b and t1 = 4 min
Second distance in blocks and time.
x2= 8 b and t2 = 6 min
Third distance in blocks and time.
x3= 24 b and t3 = 12 min
Fourth distance in blocks and time.
x4= 24 b and t4 = 17 min
Final distance in blocks and time.
x5= -24 b and t5 = 19 min
The first trap Willian is 8 blocks from home, we know that the speed is 2 b/min (blocks per minute). Using the definition of speed V1 = x1/t1 we can find t1. t1 will be t1 = 8/2 = 4 min.
He spends 2 minutes, so t2 = 6 min.
Now, the new speed is V2=4 b/min and go to the bank that is 16 blocks away from store, so x2 = 16 + 8 = 24 b. Times will be t = 24/4 = 6 min. But we need to add to t2 to get the total time. t3 = 6 + 6 = 12 min.
He spends 5 minutes here, so t4 = 12 + 5 = 17 min.
Finally, he drove home at -12 b/min, so the time to get home will be:
t = 24/12 = 2 min. Therefore, the total time t5 = 17 + 2 = 19 min.
You can learn more about velocity plots here:
https://brainly.com/question/14360042
https://brainly.com/question/18372944
I hope it helps you!
Una caja registradora contiene $1782 en monedas de cinco pesos, de diez y de un peso. Hay 802 monedas en total, y 10 veces más de 5 que de a 10 ¿Cuántas monedas hay de cada una en la caja registradora?
Answers
Answer:
En la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas un peso.
Step-by-step explanation:
De acuerdo a la información, puedes escribir las siguientes ecuaciones:
x+y+z=802 (1)
5x+10y+z=1782 (2)
x=10y (3)
Primero debes reemplazar (3) en (1) y (2):
10y+y+z=802
11y+z=802 (4)
5(10y)+10y+z=1782
50y+10y+z=1782
60y+z=1782 (5)
Ahora, tienes dos ecuaciones:
11y+z=802 (4)
60y+z=1782 (5)
Puedes despejar z en (4):
z=802-11y (6)
Después, puedes reemplazar (6) en (5):
60y+802-11y=1782
49y=1782-802
y=980/49
y=20
Puedes reemplazar el valor de y en (3) para encontrar x:
x=10y
x=10(20)
x=200
Puedes reemplazar el valor de y en (6) para encontrar z:
z=802-11(20)
z=802-220
z=582
De acuerdo a esto, en la caja registradora hay 200 monedas de cinco pesos, 20 monedas de 10 pesos y 582 monedas de un peso.
What is 6.02 x 10^5 written in standard form?
Answers
Answer:
602,000
Step-by-step explanation:
Answer:
602,0000
Step-by-step explanation:
10^5 = 100,000
6.02 x 100,000
I simply moved the numbers forward by 5 spaces.
a hot air ballon is rising at a constant rate. the relationship between its height above the ground and the time since it left the ground is shown in the following graph
Answers
Answer:
C
Step-by-step explanation:
Khan academy .-.
If you have 6 pieces of plywood
that are 4'x8', how many total
1xl pieces can you get out if
you use all of them?
Answers
Answer:192
Step-by-step explanation:
Calculate the area l*w or s*s
Divide the two areas to get the number of 1*1 from 1 plywood then multiply by their number which is 6 here
4*8=32/1=32*6=192
a=3b+4c-a is this a litteral equation
Answers
Answer:
a= 3b+4c/2
Step-by-step explanation:
2a=3b+4c
a= 3b+4c/2
Divide and reduce: 2 1/4 divided by 1 2/3
Answers
Answer:
63/48
Step-by-step explanation:
21/4÷12/3
21/4×3/12
63/48.
So the final answer is 63/48
Answer:
1/35
Step-by-step explanation:
The cost of Ken's car wash was $24.00. If he wants to give his detailer a 15% tip, about how much of a tip should he leave?
Answers
Hope this helps
there are 12 inches in a foot how many square inches are in 1 1/2 feet
Answers
Answer:
144.
The reason is because 1 ft = 12 in, (1 ft)2 = (12 in)2 = 144 in2.
By using Euler's formula, find the number of edges of a polyhedron with 16 faces and 20 vertices
Answers
Answer:
34 edges
Step-by-step explanation:
Euler's formula for polyhedron states
F + V - E = 2
where F is number of faces, V, number of vertices, E number of edges
Here F = 16, V = 20, thus
16 + 20 - E = 2, that is
36 - E = 2 ( subtract 36 from both sides )
- E = - 34 ( multiply both sides by - 1 )
E = 34