Answer:
60
Step-by-step explanation:
1 gallon is equal to 30 miles, which would mean if she uses 30 gallons of gas it would be equal to 60 since 3 x 20 equals 60
what is the answer to 4x-5=x-23
need step by step explanation
Answer:
x=−6
Step-by-step explanation:
4x−5=x−23
Step 1: Subtract x from both sides.
4x−5−x=x−23−x
3x−5=−23
Step 2: Add 5 to both sides.
3x−5+5=−23+5
3x=−18
Step 3: Divide both sides by 3.
3x /3=-18/3
x=-6
2 tan 30°
II
1 + tan- 300
Question:
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex]
Answer:
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex][tex]= sin(60^{\circ})[/tex]
Step-by-step explanation:
Given
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex]
Required
Simplify
In trigonometry:
[tex]tan(30^{\circ}) = \frac{1}{\sqrt{3}}[/tex]
So, the expression becomes:
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{2 * \frac{1}{\sqrt{3}}}{1 + (\frac{1}{\sqrt{3}})^2}[/tex]
Simplify the denominator
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{2 * \frac{1}{\sqrt{3}}}{1 + \frac{1}{3}}[/tex]
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\frac{2}{\sqrt{3}}}{1 + \frac{1}{3}}[/tex]
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\frac{2}{\sqrt{3}}}{ \frac{3+1}{3}}[/tex]
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\frac{2}{\sqrt{3}}}{ \frac{4}{3}}[/tex]
Express the fraction as:
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex][tex]= \frac{2}{\sqrt 3} / \frac{4}{3}[/tex]
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{2}{\sqrt 3} * \frac{3}{4}[/tex]
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{1}{\sqrt 3} * \frac{3}{2}[/tex]
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{3}{2\sqrt 3}[/tex]
Rationalize
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{3}{2\sqrt 3} * \frac{\sqrt{3}}{\sqrt{3}}[/tex]
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{3\sqrt{3}}{2* 3}[/tex]
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex] [tex]= \frac{\sqrt{3}}{2}[/tex]
In trigonometry:
[tex]sin(60^{\circ}) = \frac{\sqrt{3}}{2}[/tex]
Hence:
[tex]\frac{2tan30^{\circ}}{1 + tan^2(30^{\circ})}[/tex][tex]= sin(60^{\circ})[/tex]
Identify the segment bisector of RT
Then Find RT
Here,
R = 7y-4
S = 2y+6
T = ?
now,
R-S=T
7y-4+2y+6
7y+2y-4+6
9y+2
again,
R+T
7y-4+9y+2
15y-2
Therefore,
RT = 15y-2
plz mark me brainliest ok
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a)The segment bisector of RT will be 4.5y+1.
b)The value of RT will be 9y+2.
What is a segment bisector?A segment bisector is a line, ray, line segment, or point that divides a line segment into two equal halves at its center. A line segment bisector divides a line segment into two equally sized pieces. It goes through the segments halfway. Line PQ in the image below serves as AB's bisector.
It is given that,
RS = 7y-4
ST = 2y+6
Lines or portions of lines that cut across the middle are known as segment bisectors. We designate the segments with segment marks when two segments are congruent. According to the midpoint formula, the midpoint for the endpoints (x₁,y₁) and (x₂,y₂) is ((x₁+x₂)/2,(y₁+y₂)/2).
We have to find the segment bisector of the RT.
RT = RS + ST
RT = 7y-4 + 2y+6
RT =9y+2
Thus, the value of RT will be 9y+2 and the segment bisector of RT will be 4.5y+1.
Learn more about the segment bisector here:
brainly.com/question/4137998
#SPJ2
PLEASE HELP WILL MARK BRAINLIEST!!!
Answer: i think it may be b
Step-by-step explanation:
what is 4 2/3 in a proper fraction.
Answer:
14/3(I believe you mean improper fraction)
Step-by-step explanation:
4 mutiply 3 plus 2
3
Which point on the number line represents 4?
B
с
D
D
o
В
O
Answer: B
Step-by-step explanation:Because you look at the the value place and make sure it is under zero and also make sure it is in the correct spot.
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A roofing contractor has 29 bundles of roofing shingles that he needs to carry up a ladder and put onto a roof he carries two bundles at a time how many bundles are still on the ground after his seventh trip up the ladder
Answer:
15 bundles of roofing shingles
Step-by-step explanation:
Total bundles of roofing shingles = 29
He carries two bundles at a time
How many bundles are still on the ground after his seventh trip up the ladder?
First trip = 2 bundles of roofing shingles
Second trip = 2 bundles of roofing shingles
Third trip = 2 bundles of roofing shingles
Fourth trip = 2 bundles of roofing shingles
Fifth trip = 2 bundles of roofing shingles
Sixth trip = 2 bundles of roofing shingles
Seventh trip = 2 bundles of roofing shingles
Total bundles of roofing shingles carried in 7 trips = 2 + 2 + 2 + 2 + 2 + 2 + 2
= 14 bundles of roofing shingles
Bundles still on ground after 7 trips = Total bundles of roofing shingles - Total bundles of roofing shingles carried in 7 trips
= 29 - 14
= 15 bundles of roofing shingles
8th grade i need help with all pleaseeee and thank you
Answer:
Step-by-step explanation:
5. m = 1/4
Equation: y = 1/4x + 2
6. m = 2
Equation: y = 2x – 3
7. m = -1/8
Equation: y = -1/8x + 2
8. m = undefined
Equation: x = 0
If 2a+4b=5 and a is equal to three times b, what is 3a?
Answer:
3a=4.5
Step-by-step explanation:
it says that "a is equal to 3 times b", which translates to a=3b
We can substitute a as 3b in 2a+4b=5
2(3b)+4b=5
multiply
6b+4b=5
add
10b=5
divide by 10
b=1/2
since it's given that a=3b, we can multiply 1/2 by 3
a=3/2
3a is 3 times a, so we can mutiply 3(3/2)=9/2=4.5
Hope this helps!
$75 divided by 18% tip
Answer:
.18
Step-by-step explanation:
What is a 18 percent tip by bill amount?
...
What's a 18% Tip on a $75 Bill?
Bill: $75.00
Tip: $13.50
Total: $88.50
sooooo 13.50 divided by 75.00 = .18
byeeeee :)
helpigiverailiestifuaser
Answer:
35 books
Step-by-step explanation:
40*3=120
120-85=35
Solve for X
8x - 10
110
Angelina has 5 cakes. She wants to cut them into 2/5 pieces. How many pieces will she be able to cut?
Answer:
12 1/2
Step-by-step explanation:
Answer:
12 pieces and 1/5 is left over
Step-by-step explanation:
Which of the following best shows the distributive property?
2 + (2 + 3) = (2 + 2) + 3
2(2 + 3) = 2(5)
2(2 + 3) = 2(2) + 2(3)
2 + 3 = 3 + 2
Answer:
2(2 + 3) = 2(2) + 2(3)
Step-by-step explanation:
The first one shows the associative property.
In the second one, the paranthesis is being solved first, therefore the rule of PEMDAS is being applied.
The last one displays the commutative property.
Answer:
2(2 + 3) = 2(2) + 2(3)
Step-by-step explanation:
find the unit rate.
1/3 kilograms : 2/3 foot.
the unit rate is kilograms per foot.
Answer:
The unit rate is 1/2 or 0.5 kilograms per foot
Step-by-step explanation:
In order to find the unit rate we have to divide the number of kilograms by the number of feet
Given information is:
1/3 kilograms : 2/3 foot.
Let u be the unit rate
The unit rate will be calculated as:
[tex]u = \frac{\frac{1}{3}}{\frac{2}{3}}[/tex]
When dealing with fractions
[tex]\frac{\frac{a}{b}}{\frac{c}{d}} = \frac{a}{b} * \frac{d}{c}[/tex]
So
[tex]u = \frac{1}{3} * \frac{3}{2}\\u = \frac{1}{2}[/tex]
Hence,
The unit rate is 1/2 or 0.5 kilograms per foot
(0.9)+'
What is the approximate rate of decay in the exponential function f (t)
?
A
0.02
B.
0.1
С
0.11
D
0.9
Answer:
soooo u do dis and dat and OPE lookit the time
Dum Step-by-step explanation:
looks like its time to act dum ayy friend me. im givin out free points every weekday. if its friday, i do it every hour, called free point friday. check me out.
(9b +9) + (4n - 4) + (6d + 2) =
Pleaseee help hurry
Answer: 9b+4n+6d+7
Step-by-step explanation:
1. 9b+9+4n−4+6d+2
2. 9b+4n+6d+(9-4+2)
3. 9b+4n+6d+7
How do you plot the polar coordinate ( − 3 , − π 3 ) ?
9514 1404 393
Answer:
see attached (black dot)
Step-by-step explanation:
We assume you want to plot (r, θ) = (-3, -π/3), where the angle is in radians.
The basic idea is to locate the ray that is in the direction -π/3 radians, then go 3 units in the opposite direction. The point (3, -π/3) is identified in the attached graph by a red circle. Its reflection across the origin is how you plot the point for a negative radius. That reflected point is the black dot.
The equivalent coordinates are ...
(r, θ) = (-(-3), -π/3+π) = (3, 2π/3)
The length of a rectangular courtyard can be represented by (3x+5) and the width by (2x-3). Create an expression that represent the area of the courtyard. A= l times w
Given that,
Length of a rectangular courtyard = (3x+5)
Width of a rectangular courtyard = (2x-3)
To find,
The expression for area of the courtyard.
Solution,
The area of the rectangular shaped object is given by :
A = lb
Substituting all the values,
A = (3x+5) (2-3)
= (3x)(2)-(3x)(3)+(5)(2)-(5)(3)
= 6x-9x+10-15
= -3x-5
So, the area of the courtyard is (-3x-5).
By direct calculation (multiplying the two given linear polynomials) we will see that the expression that represents the area is:
A = 6x^2 + x - 15
We know that the area of a rectangle of width W and length L is given by:
A = W*L
Here we know that:
L = 3x + 5
W = 2x - 3
Now we can just replace these in the area equation to get:
A = (3x + 5)*(2x - 3) = 6x^2 + 10x - 9x - 15
A = 6x^2 + x - 15
This is the expression that represents the area of the courtyard.
If you want to learn more, you can read:
https://brainly.com/question/2295917
Solving 2 step equations
Check the image for questions
This is for my sister
Answer:
1. x = 3
2. p = -3
3. a = 4
4. n = -2
5. g = 2
6. k = -18
7. s = 18
8. c = -8
9. a = -6
10 v = 9
The heights of Major League Baseball players in the year 2012 were approximately Normally distributed with the mean = 73.5, and the standard deviation = 2.25 in.
1) How many of the 1400 players are expected to have heights between 69.5 in. and 76.5 in.?
2)Use technology to determine the number of players with z-scores for height between -1.23 and +0.75.
3) Use technology to determine the expected percentage of players with heights in the following range: 70 in. and 76 in.
4) Use technology to determine the expected percentage of players with heights in the following range: 72 in. and 73 in.
5) How many more players are expected to have heights above 73 in. than between 71 in. and 74 in.?
Answer:
69 xD Funny LOL GeT ReKt
Step-by-step explanation:
Kristen is making accessories for the soccer team. She uses 763.98 inches of fabric on headbands for 32 players and 2 coaches. She also uses 272.32 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Answer:
22.47 in of fabric on headbands
8.51 in of fabric on wristbands
Step-by-step explanation:
Step one:
given data
the total amount of person players plus coaches= 32+2= 34
for each person she uses = 763.98/32= 22.47 in of fabric on headbands
She also uses 272.32 inches of fabric on wristbands for just the players
For each player, she will use= 272.32/32= 8.51 in of fabric
Hence for each player, she used
22.47 in of fabric on headbands
8.51 in of fabric on wristbands.
PLZ HELP
Write an equation of the given line in slope-intercept form with the given points (1,1) and (4,2)
Answer: Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.
m = − 3/4, point (8, −4)
Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.
m = − 7/2, point (−8, −4)
Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.
m = −6, point (−1, −4)
Find the equation of a line with a given slope and containing the given point. Write the equation in slope-intercept form.
a horizontal line containing (−3, -5). #2
avatar+51
+2
I'm going to answer the solution in Point-Slope and Slope-Intercept.
Slope - Intercept form is this: y = mx + b
We know that (x, y) is a point on the line, m is the slope, and b is the y-intercept.
From the given information we have that it has a slope of 2 (m = 2), and one of the points on the line is (3, 9) which means that (x = 3, y = 9)
Plugging in we get:
y = mx + b
9 = 2*3 + b
9 = 6 + b
b = 3
Therefore the y-intercept is 3. After having this information we can construct our equation.
We now have to put this in the point-slope form which is: (y - y1) = m(x - x1)
Transferring what we had before we can plugin and get y - 9 = 2(x - 3)
Comment down if you have any queries or any questions on the solution. Tell me as soon as possible. Good luck in your Algebra Pursuit!! :)
Enjoy!! I put the answer in both point-slope and slope-intercept if you haven't noticed!! :)
So our answer is:
y - 9 = 2(x - 3).
One serving of milk has 120 calories. If one serving is equal to 1 cup, how many calories are in 1 fluid ounce? (1 cup=8 fluid ounces)
Jhon is saving for his trip to see Alamo. He started with 22 in his savings account every week he earns 15$ For babysitting.Out of that he spend 7$ And saves the rest Jhon uses the rule add 8 to find out how much money he has at the end of each week
Answer: $30
Step-by-step explanation:
John earns $15 and spends $7. The amount left for saving is;
= 15 - 7
= $8
He started with $22 so the new total is;
= 22 + 8
= $30
plsplsplsplsplsplsplspsslspsplslsplssppslspslslplspslshelp
Answer:
0.02
Step-by-step explanation:
divide the money by how much you have..
i dont know if its right but i hoped i helps
Answer:
$0.02 each lollipop
Step-by-step explanation:
divide $20 by quantity to get unit rate
20/1000 = 2/100 = 2 cents
Which story problem could be solved using the given equation? 14×35=m
Answer:
the answer is 390
Step-by-step explanation:
you see M means = when youre talking about money you put a M so the question is 14x35=390 hope it HELPS!!!!!!!!!
5m – 8 = 3m + 8 for m
Answer:
m=8
Step-by-step explanation:
Sam Works 40 hours in one week and is paid $610 how much does Sam earn per hour
Answer:
$15.25
Step-by-step explanation:
You divide 610 and 40 and the will get
$15.25
Because you wanna know how much does he get per hr
I GIVE BRAINLIEST: Choose the equation and the inequality needed to answer this question.
Trevor tutors French for $15 an hour and scoops ice cream for $10 an hour. He is going to work 15 hours this week. At least his many hours does he need to tutor to make more than $180? Let x equal the number of hours he tutors and y be the number of hours he scoops ice cream. (Select multiple)
x + y < 15
15 x+10 y > 180
x + y = 15
15 x+ 10 y < 180
x + y > 15
15 x+ 10 y =180
Answer:
x (total number of hours) = 15
Step-by-step explanation:
Total number of hours = 15
Let the hours spent tutoring french be x.
Therefore hours spent on scooping ice cream = (15 - x)
Amount: Tutoring french is $15 an hour, total for x hours = 15x
For scooping ice cream it is $10 an hour 10*(15 - x) = 150 - 10x
To make more than $180
15x + (150 - 10x) > 180
15x + 150 - 10x > 180
15x - 10x > 180 - 150
5x > 30
x > 30/5
x > 6
So he needs to tutor more than 6 hours in order to make more than $180