His error is that he added the denominators x+3 and 2x to get 3x+3. When adding fractions, the denominators must be the same and they stay the same the entire time. We only add the numerators over this common denominator. Often, we'll want the lowest common denominator (LCD).
For example, if we add 1/8 and 2/8, then we get 1/8+2/8 = (1+2)/8 = 3/8. Think of it like slicing up a cake into 8 slices. Person A takes 1 slice while person B takes 2 slices. Overall, 1+2 = 3 slices were taken out of 8, so that's one way to see how 1/8 + 2/8 = 3/8.
If we added something like 1/4 + 1/8, then we cannot say the answer is 2/12. It's like adding apples and oranges. They aren't like terms in a way. But we can convert 1/4 to 2/8 since the fractions are equivalent
1/4 + 1/8 = 2/8 + 1/8 = 3/8
Those two one-eighth slices combine to get a quarter slice. In this example, 8 is the LCD.
---------------------
To fix his error, Jake needs to find the LCD of the denominators x+3 and 2x. The LCD in this case is 2x(x+3). He'll need to multiply top and bottom of the first fraction by 2x, as this is the missing factor needed to get to the LCD.
The missing factor for the second fraction is (x+3). So he'll need to multiply top and bottom of the second fraction by (x+3). After these steps are done, he can then add the fractions.
Answer:
You have to have common denominators to add.
Step-by-step explanation:
You have to have common denominators to add.
Write an expression to show k less than 10
Step-by-step explanation:
"Write an expression to show k less than 10"
"less than" means that the number is being subtracted from a different number.
This means that "10" is being subtracted from "k"
Thus,
k - 10 is the appropriate expression for the statement, "k less than 10"
ANSWER: k - 10
can someone help me with this?
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A convex octagon has interior angles with measures (x + 55). (3x + 20), 4x°. (4x - 10). (6x - 55) (3x + 52). 3.xº, and (2x + 30). Find
the value of x.
Answer:
mmmmmmmmkkkkkkkkkkkkkkkkkk
Can someone please answer and EXPLAIN ILL MARK BRAINLIEST
Answer:
adjust city gallons to 3 gallons and freeway to 7 gallons
make your line in the chart:
3 | 10-3 = 7 | 3(25) = 75 | 7(40) = 280 | 75 =280 =355 | 355 | yes
Step-by-step explanation:
x = city gallons
y = freeway gallons
x+y = 10 then y = 10-x
25x+40y = 355
substitute for y
25x+40(10-x) = 355
25x+400-40x = 355
-15x+400 = 355
subtract 400 from each side
-15x = -45
divide both sides by -15
-15x/-15 = -45/-15
x = 3 gallons
y = 7 gallons
Answer:
hshjs
Step-by-step explanation:
kzkksk
I don't know how to do in phone but will try to make u brainliest if u answer these Q for me..
Answer:
Step-by-step explanation:
18 cubic units.
:::::
Length = 90÷(6×3) = 10 units
:::::
10 cubes × (4 cm³)/cube = 40 cm³
:::::
2×5×6
and
5×3×4
Can someone help? Please I need it quickly
Answer:
Step-by-step explanation:
ok so the answer for the one after 12x is 8x I think but it would only make sens i dunno the answer to the fraction
Answer and Step-by-step explanation:
Let's solve your equation step-by-step.
−2(x+5)=4
Step 1: Simplify both sides of the equation.
−2(x+5)=4
(−2)(x)+(−2)(5)=4(Distribute)
−2x+−10=4
−2x−10=4
Step 2: Add 10 to both sides.
−2x−10+10=4+10
−2x=14
Step 3: Divide both sides by -2.
-2x/2 = 14/-2
x equals...
x=-7
A gas station sells 1600 gallons of gasoline per hour if it charges $ 2.70 per gallon but only 900 gallons per hour if it charges $ 2.95
per gallon. Assuming a linear model
(a) How many gallons would be sold per hour of the price is $ 2.90 per gallon?
Answer:
(b) What must the gasoline price be in order to sell 1300 gallons per hour?
Answer:
Answer:
Look just at finding the linear model. Two points. Use price per gallon for x and gallons per hour sold for y. Your two points (x,y) are (2.15,1600) and (2.55,800).
Slope m=%281600-800%29%2F%280.15-0.55%29
m=800%2F0.40
m=2000
Using point-slope form for a line, and the lower-y point,
y-800=2000%28x-2.55%29
highlight%28y=2000%28x-2.55%29%2B800%29
Plzzz help meeeee
Finding Anglessss
Answer:
I got 104
Step-by-step explanation:
From our given information, since Angle DGF from a 90 degree angle, Due to our linear pair rule EGF is also a perpendicular angle. EGF and DGC are vertical angles so Angle DGC is 90 degrees.
Triangle DGC have two interior angles 90 and 37 so using the triangle interior theorem we can find the 3r
d side
[tex]90 + 37 + x = 180[/tex]
[tex]127 + x = 180[/tex]
[tex]x = 53[/tex]
Know that angle is 53 we can add 53 and 51 together to find Angle D full degree measure is 104.
Adjacent angles in parallelogram are supplementary so angle d plus angle c equals 180.
Angle C measure has to add up to 76 then so
[tex]37 + x = 76[/tex]
[tex]x = 39[/tex]
So the missing angle is 39 and angle c full side measure is 76.
Angle B and Angle C
are also adjacent angles so
[tex]76 + x = 180[/tex]
x=104
B=104
What is BD? please help bru i keep getting trollers
Answer:
BD=13
(This must not be drawn to scale)
Step-by-step explanation:
You have to use the Angle Bisector Theorem to get a ratio.
12/x=27/(x+5)
cross multiply
12(x+5)=27x
12x+60=27x
60=27x-12x
60=15x
60÷15=x
x=4
BD=x+x+5=4+4+5=13
the distance between two cities on a map is 3.5 centimeters. The map uses a scale in which 1 centimeter reprecents 20 kilometers. what is the actual distance between these two cities in kilometers?
Answer:
70 kilometers
Step-by-step explanation:
Set up a proportion where x is the actual distance
[tex]\frac{1}{20}[/tex] = [tex]\frac{3.5}{x}[/tex]
Cross multiply:
x = (20)(3.5)
x = 70
So, the actual distance is 70 km
Maya took a taxi from her house to the airport. The taxi company charged a pick-up
fee of $1.90 plus $4.50 per mile. The total fare was $24.40, not including the tip.
Write and solve an equation which can be used to determine m, the number of miles
in the taxi ride.
Can you put this in order least to greatest?
Answer:
7.6,7.45,7.48,7.431,7.504,7.536
this us your answer
Answer:
Least to greatest order:
7.431 < 7.45 < 7.48 < 7.504 < 7.536 < 7.6
Greatest to least order:
7.6 > 7.536 > 7.504 > 7.48 > 7.45 > 7.431
answer and show work and ill give brainliest, Steven has one bag that contains three table-tennis balls numbered 1, 2, and 3. He also has a second bag that contains four table-tennis balls lettered A, B, C, and D.
Answer:
B
Step-by-step explanation:
Assuming Part A is the situation where the bags aren't merged, the probability of drawing a "1" followed by a "B" is (1/3)(1/4) or 1/12. This is because you have a 1/3 chance of getting a "1" and a 1/4 chance of getting a "B".
Now if we merge the bags, we have a 1/7 chance of getting a "1". We then have a 1/6 chance of getting a "B". This is because after we complete the first draw, the bag only has 6 remaining not 7. This gives us a probability of (1/7)(1/6) or 1/42.
So we know the probability will change so C is wrong. In both scenarios, we draw two balls anyways so A is wrong.
This leaves B, which is supported by the reasoning presented above.
how do you simplify 4 ^2 × 4^5
Answer:
4^7
Step-by-step explanation:
4^2 + 4^5
=> 4^ 2+5
=> 4^7
Answer:
Step-by-step explanation:
Victor saved $90 to buy a bicycle. He has saved 60% of the cost of the bicycle. What is the total cost of the bicycle?
Answer:
$150
Step-by-step explanation:
90/60=1.5 tthat means 1% of the bike costs $1.50. You ar trying to find 100% so multiply by 100. 1.5x100=150
Answer:
$150
Step-by-step explanation:
You can divide the 90 by 0.60 to get 150. You can check again by multiplying 150 by 0.6 to get 90, which Victor has 60% of the total (being 150)
Hope this helps!
pls make sure ur answer is correct
========================================================
In 1985, there were 20 students
In 2005, there were 45 students
This is a change of 45-20 = 25 students.
This amount of change is divided by the original amount 20 to get 25/20 = 1.25 and converts to 125% when you move the decimal point 2 spots to the right.
-------------
If you want, you can use the formula below
x = old value = 20
y = new value = 45
z = percent change
z = [ (y-x)/x ] * 100%
z = [ (45-20)/20 ] * 100%
z = (25/20) * 100%
z = 1.25*100%
z = 125%
The z value being positive means we have a percent increase.
It's possible to have over 100% increase since 100% of 20 is 20. Having a 100% increase means we increased by 20. Since we increased by more than 20, this means the increase must be over 100%.
Could someone please explain how to get the answer?
the missing side of the right triangle is 10.568
Pythagorean theorem formulaa² + b² = c²
Which c is the hypotenuse part of triangle.
Known thata = 5.2
b = 9.2
c = ...?
so the missing part is c.
Way to calculatea² + b² = c²
5.2² + 9.2² = c²
111.8 = c²
c = √111.8
c = 10.568
#Moderators please don't be mean, dont delete my answers just to get approval from your senior or just to get the biggest moderation daily rank.
what is the remainder of 422,391÷28
A math student has a plan to solve the following system by the elimination method. To eliminate the x-terms, he wants to multiply the top equation by 7. What
should he multiply the second equation by so that when he adds the equations, the x-terms are eliminated?
-3x-7--56
-7x+10y - 1
Answer:
-3
Step-by-step explanation:
7(-3x-7y-56)
-21x-49y-392
-3(-7x+10y-1)
21x-30y+3
because the eq. multiplied by 7 is negative, the second eq mus be positive in order to eliminate the x variable. this is why we multiply by a (-). by multiplying the second eq by 3, both eq. will result in a coefficient of 21. one positive one negative allowing the x variable to be eliminated from the problem.
Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!
Show your work!
Answer:
[tex]x=12[/tex]
Step-by-step explanation:
Notice that the segment bisects the obtuse angle.
Then by the Angle Bisector Theorem:
[tex]\displaystyle \frac{x-4}{6}=\frac{x}{9}[/tex]
Cross-multiply:
[tex]6(x)=9(x-4)[/tex]
Distribute:
[tex]6x=9x-36[/tex]
So:
[tex]-3x=-36[/tex]
Therefore:
[tex]x=12[/tex]
One number is five less than another. Their sum is fifteen. Find the numbers.
Answer:
THE NUMBERS ARE 10 AND 5
Step-by-step explanation:
LET THE ANOTHER NUMBER BE X THEN
ONE NUMBER = X - 5
BY THE QUESTION
X - 5 + X = 15
2X = 15 + 5
2X = 20
X = 10
X - 5 = 10 - 5 = 5
Answer:
hi 5 and 10 is required no.
let no. be x
another no.be x+5
Step-by-step explanation:
sum=15
x+x+5=15
2x=15-5
2x=10
x=10/2=5
x+5=5+5=10
find the value 4/25 1/2
Answer:
2/5
Step-by-step explanation:
we know any number raised to power 1/2 means that we need to find the square root of that number.
(4/25)^1/2= =√(4/25)√4/√25
√4=2
√25=5
√(4/25=2/5
(hope this helps can i plz have brainlist :D hehe)
HELP...The volume of a rectangular prism is 36x^6y^8. The length of the prism is 4x^3y^5, and the width of the prism is 3xy^2. What is the height of the prism? Write a justification of your result. v=lwh
Answer:
[tex]H = 3x^2y[/tex]
Step-by-step explanation:
Given
[tex]V = 36x&^6y^8[/tex]
[tex]L = 4x^3y^5[/tex]
[tex]W = 3xy^2[/tex]
Required
Find the height of the prism
Volume (V) is calculated as:
[tex]V =LWH[/tex]
Substitute values for V, L and W
[tex]36x^6y^8 =4x^3y^5 * 3xy^2 * H[/tex]
Make H the subject
[tex]H = \frac{36x^6y^8}{4x^3y^5 * 3xy^2}[/tex]
[tex]H = \frac{36x^6y^8}{4*3x^3*x*y^5y^2}[/tex]
[tex]H = \frac{36x^6y^8}{12x^4*y^7}[/tex]
Divide:
[tex]H = 3x^{6-4}y^{8-7}[/tex]
[tex]H = 3x^2y[/tex]
The height of the prism is: [tex]3x^2y[/tex]
Solve the equation -10(d+1)=-14 I ready, please help ASAP!!
Answer:
d = 0.4
Step-by-step explanation:
-10 (d + 1) = - 14
=> -10d - 10 = -14
=> -10d = -14 + 10
=> -10d = -4
=> 10d = 4
=> d = 4 / 10
=> d = 0.4
Hope it helps :)
Please mark my answer as the brainliest
Find the value of y
95
15
19
85
Answer:
im only doing this bc im forced to
Answer:
19
Step-by-step explanation:
180-85 = 5y
5y = 95
y = 19
The coordinate grid shows the plot of four equations:
A coordinate grid is shown from negative 12 to positive 12 on the x axis and also on the y axis. Line A passes through the ordered pairs negative 3, 4 and 9, negative 2. Line B passes through the ordered pairs 2, 8 and 8, negative 8. Line C passes through the ordered pairs negative 3, negative 4 and 4, 6. Line D passes through the points 2, negative 2 and 5 and 6.
Which set of equations has (3, 5) as its solution? (1 point)
A. A and D
B. C and D
C. A and C
D. B and C
Answer:
D. B and C
Step-by-step explanation:
The set of equations that has the (3, 5) as a solution would be the two lines that intercepts at the point where when x = 3, y = 5.
From the graph shown, line B and line C intercepts at the point where x = 3, and y = 5.
Therefore, B and C has (3, 5) has its solution.
Answer:
B and C.
Step-by-step explanation:
Which customary unit would you use to measure the amount of flour in
a cake recipe?
1. cups
2. feet
3. fluid ounces
4. inches
5. ounces
Answer:
cups !!
Step-by-step explanation:
X^3+9X^2–25X–33=0
Find The root of X??
Answer:
x=-11, -1, and 3
Step-by-step explanation:
x^3+9x^2-25x-33=0
There are formulas to solve cubics, but that probably is not the way you are expected to go. Here is a trial and error approach that works in this case.
Assume that the cubic can be factored and that the roots are r1, r2, and r3. Then the factored form is
(x-r1)(x-r2)(x-r3)=0
This shows that the constant must equal the product of the roots.
(r1)(r2)(r3)=-33
One possibility is that the roots are integers. In this case, a factor of 33 might work. Prime factorization of 33 gives 3 and 11. Try 3. Then (x-3) is a factor.
Divide the cubic by (x-3). It works. the result is
x^2+12x+11
This has factors of (x+11) and (x+1). Therefore, the roots are 3, -1, and -11
What is the unit rate for 3.5 GB for $10.00
Please help and quick
4 and 2 because she is the acrooss line