Answer: 2 x 2 x 2 x 3 x 5
Step-by-step explanation:
Hope this helps. Those are all primes that equal 120.
how to factorise 25y - 35z
Answer:
the highest common factor of 25 and 35 is 5
so,
5(5y-7z) is the factorise form of 25y-35z
Step-by-step explanation:
hope this helps you!!
rewrite the equation by completing the square 6x + 55 = x^2
Answer:
x=11
x=−5
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation : 6*x+55-(x^2)=0
-x2+6x+55 =0
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = -1
B = 6
C = 55
Accordingly, B2 - 4AC =
36 - (-220) =
256
Applying the quadratic formula :
-6 ± √ 256
x = ——————
-2
Can √ 256 be simplified ?
Yes! The prime factorization of 256 is
2•2•2•2•2•2•2•2
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 256 = √ 2•2•2•2•2•2•2•2 =2•2•2•2•√ 1 =
± 16 • √ 1 =
± 16
So now we are looking at:
x = ( -6 ± 16) / -2
Two real solutions:
x =(-6+√256)/-2=3-8= -5.000
or:
x =(-6-√256)/-2=3+8= 11.000
Answer:
(x-3)^2 =64
x=3 plus or minus 8
Step-by-step explanation:
I got it right on khan
Calculate the following probabilities and indicate which probability distribution model
is appropriate in each case. You roll a fair die 5 times. What is the probability of rolling
(a) the first 6 on the fifth roll?
(b) exactly three 6s?
(c) the third 6 on the fifth roll?
It is B :)
Step-by-step explanation:
A line contains the points (80, -94) and (89, -84).
What is the slope of the line in simplified form?
Answer:
The answer is
[tex] \huge \frac{10}{9} [/tex]
Step-by-step explanation:
The slope of a line given two points can be found by using the formula
[tex]m = \frac{ y_2 - y _ 1}{x_ 2 - x_ 1} \\[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(80, -94) and (89, -84)
We have
[tex]m = \frac{ - 84 - - 94}{89 - 80} = \frac{ - 84 + 94}{9} = \frac{10}{9} \\ [/tex]
We have the final answer as
[tex] \frac{10}{9} \\ [/tex]
Hope this helps you
Answer:10/9
Step-by-step explanation:
Norachai won 55 lollipops playing the
bean bag toss at the county fair. At school
he gave two to every student in his math
class. He only has 7 remaining. How
many students are in his class?
Answer: 24
Step 1: Subtract 7 because Norachai has seven more lollipops.
55 - 7 = 48.
Step 2: Divide 48 by 2 because he gave every student two lollipops.
48 divided by 2 = 24.
Answer = 24
David can paint a fence in ten hours. Alex can paint the same fence in eight hours. If
they worked together how long would it take them?
1/10
1/8
9/40
40/9
Answer:
40/9
Step-by-step explanation:
Use the work formula, [tex]\frac{1}{A}[/tex] + [tex]\frac{1}{B}[/tex] = [tex]\frac{1}{T}[/tex], where A is the amount of time it takes one person, B is the amount of time it takes another person, and T is the time it takes for them to work together.
Plug in the times for David and Alex alone:
[tex]\frac{1}{10}[/tex] + [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{T}[/tex]
Find the least common denominator, which is 40.
[tex]\frac{4}{40}[/tex] + [tex]\frac{5}{40}[/tex] = [tex]\frac{1}{T}[/tex]
[tex]\frac{9}{40}[/tex] = [tex]\frac{1}{T}[/tex]
Cross multiply and solve for T:
9T = 40
T = 40/9
So, if they worked together, it would take them 40/9 hours
Answer:
40/9
Step-by-step explanation:
just helped my sister with this question.
find the surface area of the regular pyramid 9ft and 6ft i canton find out what it is
Answer:
54 ft squared
Step-by-step explanation:
To find surface area l*w
9*6=54 ft squared
A rope is 250 centimeters long.
You need the rope to be 112 meters long.
How many centimeters should you cut off?
Answer:I’m guessing you meant cm for 112 so..
Step-by-step explanation:250-112=138
so 250-138=112
Answer:
100 cm
Step-by-step explanation:
112*2 then you divide & get 100
Two apples plus four bananas cost $2.00. An apple costs twice as much as a banana. Using the equations 2a + 4b = 2.00 and a = 26, where a is the cost of one apple and b is the cost of one banana, what are a and b?
Answer:
(B) a = $0.50, b = $0.25
Step-by-step explanation:
Answer choice B is the only one in which an apple costs twice as much as a banana.
__
It helps to see if the answer choices match the requirements of the problem statement.
Carmen tutors English. For each hour that she tutors, she earns 20 dollars. Let E be her earnings (in dollars) after tutoring for H hours. Write an equation relating E to H. Then use this equation to find Carmen's earnings after tutoring for 15 hours.
Equation:___
Carmen's earnings for 15 hours:___ dollars
Answer:
E = 20h, she earns $300 for 15 hours
The first week, there were 10 students in a teacher’s classroom. The next week, there were 13 students in the same teacher's classroom. What is the percent increase of the number of students?
Answer:
130% increase
Step-by-step explanation:
Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours. What distance did Maya cover if she ran for t hours and then biked for r hours?
Answer:
D=(6T)+(9R)
Step-by-step explanation:
Since she runs 6mph and bikes 9mph, the distance she covers can be described as D=(6T)+(9R).
What are the measures of
A scale drawing of a red blood cell is shown below. If the blood cell’s actually diameter is 0.008 millimeter, use a ruler to find the scale factor of the drawing.
0000.3
Step-by-step explanation:
because I need points lolol
A teenager puts $50 into an investment account in January. If by December the balance in the account increases by 17%, what is the amount of money in the account in December?.
Answer:
58.50
Step-by-step explanation:
Multiply 50 and .17 which equals 8.5 then add that to 50.
The amount of money in the account in December with a rate of 17% of the initial amount of $50 is $58.5.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
A teenager puts $50 into an investment account in January.
Let, he deposited on first January.
If by December the balance in the account increases by 17%,
Let the amount by the 31 first of December will be
Then the amount will be given as
[tex]A = P (1 + \dfrac{r}{100})^t[/tex]
P = $50
r = 17%
t = 1
Then we have
[tex]\rm A = 50(1 + \dfrac{17}{100})^1\\\\A = 50(1 + 0.17)\\\\A = 50 * 1.17 \\\\A = 58.5[/tex]
More about the percentage link is given below.
https://brainly.com/question/8011401
y = 4x - 9 complete the missing value in the solution to the equation
Answer: If you substitute the x for 3, and multiply 4 times 3, you’ll get 12 and then you subtract 9 from 12 and then you’ll get 3. I’m pretty sure y=3
Step-by-step explanation:
2x+3<23 (convert to word problem)
Answer:
two x plus three is less than twenty-three
Step-by-step explanation:
im not sure but I think that's how you do it
David and Mark win some money and share it in the ratio 2:1. David gets £24 more than Mark. How much did they get altogether?
Two angles form a linear pair. The measure of one angle is 14 the measure of the other angle. Find the measure of each angle.
Smallest angle:
Largest angle:
Answer:
Step-by-step explanation:
If one-third of a number x, is greater than five less than twice the number, which of the following is true
Answer:
A.) x < 3
Step-by-step explanation:
I jus got 100% on the quiz.
Calculate the slope of the graph below. Write your answer into the blank, m=
Answer: 2
Step-by-step explanation:
Slope=rise/run
In this case
Rise=2
Run=1
2/1=2
Answer: m = 2
Step-by-step explanation:
1) m= (y2-y1)/(x2-x1)
2) let say :
y1=0
y2=4
x1=-2
x2=0
3) m= (4-0)/(0-(-2))
4) m= 4/2 =2
help me plss I'll brainlist u !
Answer:
1.A
-$92
-$212
1.B
To solve this you set up the equation: x(8) +12 =y. In this equation x=, the number of paintbrushes and y=, the total cost of the purchase. If you plug in the number of paintbrushes that are being bought you should be able to get your Y(total cost).
Hope this helped!
Tea Off served a total of 8,080 cups of chamomile tea to its customers last year. This year, the number of served was 35% lower. How many cups of chamomile tea did the cafe serve this year?
A balance scale is perfectly balanced with 2 cans of soda on one side and 1 can of soda and 8 ounces of sand on the other . How much does each can of soda weigh?
Answer:
i think it will weigh 8 ounces
Step-by-step explanation:
if one can plus it is equal to 2 itll will be balenced
Simplify . Show your work!
Answer:
25/16
Step-by-step explanation:
(4/5)^-2
Use Negative Power Rule: x^-a = 1/x^a
1/(4/5)^2
Use Division Distributive Property: (x/y)^a = x^a/y^a
1/16/5^2
1/16/25
25/16
Please mark me the brainliest!?!
Solve each of the given compound inequalities. Enter your answers using interval notation.
x−5<−4 and −7x+6≤−71
Answer:
1.[tex]\:\left(-\infty \:,\:1\right)[/tex]
2.[tex]\:[11,\:\infty \:)[/tex]
Step-by-step explanation:
Given the following questions:
[tex]x-5 < -4[/tex]
[tex]-7x+6\leq-71[/tex]
To find the answer we solve as if it is a two-step equation where we add/subtract on both sides.
Question one:
[tex]x-5 < -4[/tex]
[tex]-5+5=0[/tex]
[tex]-4+5=1[/tex]
[tex]x < 1[/tex]
[tex]\:\left(-\infty \:,\:1\right)[/tex]
Question two:
[tex]-7x+6\leq-71[/tex]
[tex]6-6=0[/tex]
[tex]-71+-6=-77[/tex]
[tex]-7x\leq-77[/tex]
[tex]-7x\div-7=x[/tex]
[tex]-77\div-7=11[/tex]
[tex]x\leq11[/tex]
[tex]\:[11,\:\infty \:)[/tex]
Which means your answers are "(-∞, 1) and [11, ∞)."
Hope this helps.
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer: x = 52.1 degrees
Step-by-step explanation:
The tangent of an angle is the opposite side divided by the adjacent side.
Therefore, tan(x) = 45/35.
We can find thte value of x by doing the arc tangent of 45/35, which makes x about 52.1 degrees.
What do the solutions of a quadratic represent graphically?
A) The x-intercepts
B) The vertex
C) The 'a' value in the quadratic equation
D) The axis of symmetry
Answer:
c
Step-by-step explanation:
Solve for x. Round to the nearest tenth, if necessary.
Answer:
hello
cos 59° = IH/x
x = ≈ 58.24
Step-by-step explanation:
find the slope of the line whose angle of inclination is 60
Answer:
Slope (m) = tanθ
=tan60
=√3
Hence the slope is √3
I think it will help you