Answer:
Juan purchased 16 lemons and used 5 on the first day of making lemonade. On the second day, he purchased 12 lemons and used 11. Juan wrote this expression to find how many lemons he should have left.
Step-by-step explanation:
11+1=12
Rewrite in simplest radical form! Show your work.
Answer: [tex]\frac{1}{\sqrt[3]{x} }[/tex]
Step-by-step explanation:
Since the base of the exponents are the same, we can go ahead and subtract the exponents.
[tex]\frac{x^{\frac{5}{6}} }{x^{\frac{7}{6} }}[/tex] [subtract exponents]
[tex]x^{-\frac{2}{6} }[/tex] [simplify exponent]
[tex]x^{-\frac{1}{3}}[/tex] [write in radical form]
[tex]\frac{1}{\sqrt[3]{x} }[/tex]
One factor of the polynomial 6x3 − x2 + 8x + 5 is (2x + 1). What is the other factor of the polynomial? (Note: Use long division.)
Answer: (3x2 − 2x + 5)
Step-by-step explanation:
The other factor of the polynomial (3x+5) and (x-1).
What is long division method?Long Division is a method for dividing large numbers, which breaks the division problem into multiple steps following a sequence. Just like the regular division problems, the dividend is divided by the divisor which gives a result known as the quotient, and sometimes it gives a remainder too.
Given that, one factor of the polynomial 6x³-x²+ 8x+5 is (2x+1).
Using long division method, we get
2x+1|6x³-x²+8x+5|3x²+2x-5
(-)6x³+3x²
_____________
-4x²+8x+5
4x²+2x
_____________
10x+5
-10x-5
_____________
0
Now, the factors of quotient 3x²+2x-5 are
3x²+5x-3x-5
= x(3x+5)-1(3x+5)
= (3x+5)(x-1)
Therefore, the other factor of the polynomial (3x+5) and (x-1).
Learn more about the long division method here:
https://brainly.com/question/29258654.
#SPJ2
are x and 12x like terms plz i need this!
Yes.
You can add them together to get 13x.
because you can add them together, they are alike terms.
Una avenida está siendo asfaltada por etapas. En la primera etapa se asfaltó la mitad; en la segunda, la quinta parte, y en la tercera, la cuarta parte del total. ¿Cuál es la longitud de la avenida si aún faltan 200 m por asfaltar?
Answer:
Sabemos que:
L es el largo de la avenida.
En la primer etapa se asfalto la mitad, L/2, entonces lo que queda por asfaltar es:
L - L/2 = L/2.
En la segunda etapa se asfalto la quinta parte, L/5, entonces lo que queda por asfaltar es:
L/2 - L/5 = 5*L/10 - 2*L/10 = (3/10)*L
En la tercer etapa se asfalto la cuarta parte del total, L/4, entonces lo que queda por asfaltar es:
(3/10)*L - L/4 = 12*L/40 - 10L/40 = (2/40)*L
Y sabemos que este ultimo pedazo que queda por asfaltar es de 200m:
(2/40)*L = 200m
L = 200m*(40/2) = 4,000m
4^x+ 2^(1+2x)= 50
I know what the answer is (about 2.03), but I need help getting there!
Step-by-step explanation:
4ˣ + 2¹⁺²ˣ = 50
Rewrite 4 as a power of 2.
2²ˣ + 2¹⁺²ˣ = 50
Factor out 2²ˣ.
2²ˣ (1 + 2) = 50
2²ˣ = 50/3
Take log of both sides.
ln(2²ˣ) = ln(50/3)
Use exponent property.
2x ln 2 = ln(50/3)
Solve for x.
x = ln(50/3) / (2 ln 2)
Simplify.
x = ln(50/3) / (ln 4)
x ≈ 2.03
What is the equation of the line with slope of – 5 and passes through (2, – 3)?
Answer:
y = -5x + 7
Step-by-step explanation:
Graph has a slope of -5, which is the gradient
y = -5x + c
To find c you have to sub in the point (2, -3)
-3 = -5(2) + c
-3 + 10 = c
c = 7
Hence equation is:
y = -5x + 7
Alex rolls a six-sided number cube 570 times. Approximately how many times can he expect to roll a 5?
Answer:
95 times
Step-by-step explanation:
Probability of rolling a 5 =1/6
So no. of times 5 is expected when the number cube is rolled out 570 times = 570*1/6 = 95 times
1)First determine the probability of rolling a 5
2)Since you can only roll a 5 once in a 6-sided cube the probability is ⅙ or about 0.1667
3)Multiply the probability and the total number of rolls
.1667 * 570= 95
Answer : 95 times
Reduce the fraction into simplest terms. 9/12
Answer:
3/4
Step-by-step explanation:
divided by 3 to get the answer.
Answer:
[tex]\frac{3}{4}[/tex]
Step-by-step explanation:
9 can also be written as 3×3 & 12 can also be written as 3×4.
So if we gonna cancel out a 3 from 9 & 12 , then the remaining numbers in 9 & 12 will be 3 & 4.
[tex]\frac{9}{12}=\frac{3*3}{3*4} = \frac{3}{4}[/tex]
Kora uses the following ingredients to make 111 s'more.
Ingredient Amount
Graham crackers 222
Chocolate squares 888
Marshmallows 333
How many s'mores can Kora make if she has 202020 graham crackers?
she can make 10 s'mores.
Find an equation of the line that passes through the points (3,-2) and (-7,6).
Answer:
y = -4/5x + 2/5
Step-by-step explanation:
Answer:
y = -0.8x + 0.4 or
y= -4/5x + 2/5
Step-by-step explanation:
Tom has a cube a rectangular prism. Triangular prism Which of his shapes have more than six vehicles
What is the midpoint of points (3.9) and (1.-7)?
Answer:
Answer is (2,1)
Step-by-step explanation:
The Midpoint formula is simply (x2+x1)/2, (y2+y1/2)
Just gotta plug in the points!
Hope this helps!
(z + 3)2
Draw me an area that shows the expression
Answer: 2z + 6
Step-by-step explanation: Distribute the 2 to z and 3.
In how many ways can four people sit around a circular table? Seating arrangements are considered different only if at least one person has at least one different neighbor.
Answer:
(x-1)!
Step-by-step explanation:
lets say you want to sit x people around a table you would do x!. but since it doesn't count if you rotate the table you have to divide it by x, so the answer is x!/x = (x-1)!
Which equation represents a line that is parallel to y = -4x + 3 and passes through the point (-3,2)?
a. y= -4x - 10
b. y=-4x + 2
c. y= -4x + 5
d. y= 1/4x - 7/2
e. y= 1/4x + 11/4
Answer:
a
Step-by-step explanation:
y-2/x+3= -4
-4x-12=y-2
y=-4x-12+2
y=4x-10
Solve for x: 6x−8=8x−6
18/40 in it's simplest form
Answer:
9/20
Step-by-step explanation:
I guess I was help full for u
plz follow me for more updates
The perimeter of a rectangle is 96 feet. The
length is twice the width. What is the length?
Answer:
Step-by-step explanation:
THE LENGTH OF THE RECTANGLE IS SIX LESS THAN TWICE THE WIDTH. FIND THE DIMENSIONS OF THE RECTANGLE. W=18 FOR THE WIDTH. 2*18-6=36-6=30 FOR THE LENGTH. (sorry caps)
Simplify 9x + 4(x + 2) - 5:
Answer:
Step-by-step explanation:
9x+4x+8-5
=13x+3
The area of a rectangle is 136 square centimeters. The
rectangle is 8 centimeters wide how long is the rectangle
Answer:17
Step-by-step explanation: count 8, 17 times and that is how you get your answer
The length of the rectangle is 17 cm if the area of a rectangle is 136 square centimeters.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
It is defined as two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
It is given that:
The area of a rectangle is 136 square centimeters.
A = 136 square cm
w = 8 cm
A = lw
136 = 8l
l = 17 cm
Thus, the length of the rectangle is 17 cm.
Learn more about the rectangle here:
https://brainly.com/question/15019502
#SPJ2
In the expression 2x + 3, the 2 is called the A) coefficient B) power 09 product D) quotient
Answer:
D
Step-by-step explanation:
I will give brainliest!!!! Which expressions are equivalent to j+j+2k? Choose all answers that apply: (Choice A) A 2jk (Choice B) B 2(j+j+k) (Choice C) C None of the above
Answer:
The Answer Is C
Answer:
CHOICE C.Step-by-step explanation:
They are not like terms, so they can't be added up.
can someone help me please
Answer:
you end up with 75 divided by 3.
Step-by-step explanation:
75 divided by 3 - 8 + 8
add 60 and 15
3 - 2(4) + 2^3
multiply -2 by 4
3 - 8 + 2^3
multiply 2 by itself 3 times
3 - 8 + 8 (which gives you 3 again)
and you get 75 divided by 3
Given the explicit expression f(n)=4n+2, write a set showing the sequence.
A {6, 10, 14, 18,...}
B {6, 8, 10, 12,...}
C {4, 8, 12, 16,...}
D {2, 6, 10, 14,...}
the answer is A because you would do 4x1+2 and then you would do 4x2+2 and so on
Correct! Thanks. This really helped me on a question on my quick check!
Jamal is 8 miles away from his house. He rides his bike home toward home at a speed of 12 mph..
How far away from home is he after a half hour?
Hi there!
Your answer to this question would be, B) 2 miles.
Happy to Help!
The radius of a circle is 4.8cm. What is the diameter?
Answer:
9.6cm
Step-by-step explanation:
Since the radius is half of the diameter, to find the diameter, simply multiply the radius by 2.
4.8*2=9.6
Diameter=9.6cm
Bonnie ran a total of 18 miles over the course of 2 track practices. How many miles would Bonnie have run after 7 track practices? Solve using unit rates.
Answer:
63 miles
Step-by-step explanation:
Bonnie ran a total of 18 miles over the course of 2 track practices. How many miles would Bonnie have run after 7 track practices?
2 track practices = 18 miles
7 track practices = y miles
Cross Multiply
2 track practices × y miles = 18 miles × 7 track practices
y miles = 18 miles × 7 track practices/ 2 track practices
y miles = 63 miles.
Therefore, Bonnie will have run 63 miles after 7 track practices
The elevation of an airplane changes by-420 feet in 12 seconds. What is the change in the airplane's elevation each second?
Answer:
-35 feet each second
Step-by-step explanation:
Divide -420 by 12:
-420/12
= -35
So, the change in the plane' elevation is -35 feet each second
Answer:
-35 feet per second
-420/12 = -35
What is the mean of the data?O 5
O 10
O 30
O 50
Answer:
D. 50
Finding out the mean is actually pretty simple. All you have to do is add up the numbers, then divide that by how many numbers there are. For this graph, here's what you do:
35 + 40 + 45 + 50 + 55 + 60 + 65 = 350
Since there are seven numbers, you divide 350 by 7.
350 ÷ 7 = 50
And that's your answer! hope this helps
What angle is exactly 90 degrees?
7
Answer:
a Right angle is an angle of exactly 90 degrees
Answer:
A right angle is exactly 90 degrees
Step-by-step explanation:
A right angel is like an L pretty much
plz mark brainest, trying to get to next rank and only need two more.