Answer:
30
Step-by-step explanation:
To find the greatest number divisible : find the GCF
[tex]60 = 2 \times 2 \times 3 \times 5 = 2^2 \times 3^1 \times 5^1\\\\90 = 2 \times 3 \times 3 \times 5 = 2^1 \times 3^2 \times 5\\\\120 = 2 \times 2 \times 2 \times 3 \times 5 = 2^3 \times 3^1 \times 5^1[/tex]
[tex]Therefore \ , GCF = 2 \times 3 \times 5 = \ 30[/tex]
Therefore greatest number in which 60, 90 , 120 are divisible = 30
The greatest number is 30 which is divisible by 60, 90, and 120.
What is Least Common Multiple(LCM)?The least common multiple is defined as the least positive integer that is dividable by both given numbers. A group's Least Common Multiple (LCM) is the smallest number that is a multiple of all the numbers.
To find the greatest number in which 60, 90, and 120 are all exactly divisible, we can find the least common multiple (LCM) of these three numbers.
The LCM is the smallest positive integer that is exactly divisible by all of the numbers in question.
One way to find the LCM of 60, 90, and 120 is to list the prime factorization of each number and then take the highest exponent of each prime factor:
60 = 2 x 2 x 3 x 5
90 = 2 x 3 x 3 x 5
120 = 2 x 2 x 2 x 3 x 5
The LCM of 60, 90, and 120 is then 2 x 3 x 5 = 30.
Therefore, 30 is the greatest number in which 60, 90, and 120 are all exactly divisible.
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Need help with this!!!!
Answer:
Cuatro es la respuesta también conocida como d
Answer:
Step-by-step explanation:
tion 9 of 10
10 Points
Two sides of a triangle have lengths 4 and 8. Which of the Two sides of the triangle have lengths of 4 and 8. Which of the following can NOT be the length of the third side?
A. 7
B. 4
C. 5
D. 6
Answer:
B. 4
Step-by-step explanation:
the sum of two sides of a triangle should be longer than one other side
Sonya wants to sew ribbon along each side of a square pillow if the pillow has an area of 144 square inches, how much ribbon must she buy to have the exact amount that she needs
Answer:
48 inches
Step-by-step explanation:
The area of a square is given by
A = s^2 where s is the side length
144 = s^2
Taking the square root of each side
sqrt(144) = sqrt(s^2)
12 = s
The side length is 12
We want to find the perimeter to determine the amount of ribbon
P =4s
P =4*12
48 inches
what is seven million written as numeral?
Answer: 7,000,000
A million= six zeroes
Ones, tens, hundreds, thousands, ten-thousands, hundred-thousands, millions
Each place value represents an additional zero
can somebody help me with this
Answer:
If AB and CD are perpendicular, (slope of AB) x (slope of CD) = -1
9/a = -1
a = -9
Answer:
-9
Step-by-step explanation:
flip and change the sign of [tex]\frac{3}{4}[/tex]
[tex]\frac{4}{-3}[/tex]
set equal to each other
[tex]\frac{4}{-3}[/tex] = [tex]\frac{12}{a}[/tex]
cross multiply
4a = -36
divide by 4
a = -9
A number, one-fourth of that number, and one-third of that number are added. The result is 38. What was the oringnal number?
Answer:
24
Step-by-step explanation:
x + (1/4)x + (1/3)x = 38
multiply both sides by 12 to clear the fractions
12x + 3x + 4x = 456
19x = 456
Divide both sides by 19
x = 24
Answer:
24
Step-by-step explanation:
x+1/4x+1/3x=38
x+7/12x=38
19/12x=38
x=38*12/19=24
Last year, 260 students went to the senior prom at M&T Bank Stadium. This year, the number of students who attended senior prom increased by 9%. How many students attend the senior prom at M&T Bank Stadium this year? Round you answer to the nearest whole number.
Answer:
283 people went this year to the stadium.
Step-by-step explanation:
Let's put this data into pieces so it's less overwhelming.
Last year 260 students went to the prom.
Currently the number of students who attended has increased by 9% from last year.
And the question is asking how many students attended this year?
Well, if this is increasing by 9%, wouldn't we just find 9% of 260 then add it to 260?
0.09 * 260 = 23.4
260 + 23.4 = 283.40. Obviously we can't have 40% of a human being, so let's round it to 283.
Help please!! Worth 14 points!
Answer:
6 days
Step-by-step explanation:
Hi there!
Let d be equal to the number of days that pass.
1) Form expressions
We're told that our sister earns $30 a day, but needs to pay $60 at first:
[tex]30d-60[/tex]
We're also told that we earn $20 a day:
[tex]20d[/tex]
2) Form an equation
We're solving for the number of days that pass (d) in order for both our and our sister's income to equal each other.
For our income and our sister's income to equal each other, the following must be true:
[tex]30d-60=20d[/tex]
Because the only variable here is d, we can simply isolate it to determine the number of days that would pass.
3) Solve for d
[tex]30d-60=20d[/tex]
Subtract 30d from both sides to isolate d on one side
[tex]30d-60-30d=20d-30d\\-60=-10d[/tex]
Divide both sides by -10 to isolate d
[tex]6=d[/tex]
Therefore, for both our income and our sister's income to become equal, 6 days would pass.
I hope this helps!
Help i will give brainliest to the best answer.
Answer:
-2
Step-by-step explanation:
1. reduce the numbers by taking out the greatest common factor which is 9.
2. taking out 9 leaves you with [tex]-8[/tex] multipied by 1/4
Answer:
-2
Step-by-step explanation:
[tex](-\frac{8}{9} )[/tex] ÷[tex](\frac{4}{9})[/tex]
changing division sign to multiplication and doing reciprocal
[tex]-\frac{8}{9}*\frac{9}{4}[/tex]
9 and 9 gets cancel so,
[tex]-\frac{8}{4}[/tex]
4 divides 8 exactly by 2 and keep minus sign as it is
-2
What is a Redox reaction? And how does it happen in batteries?
Answer:
Pata nahii!!!!!!!!!!!:)))))
Answer:
Redox is a type of chemical reaction in which the oxidation states of atoms are changed. Redox reactions are characterized by the actual or formal transfer of electrons between chemical species, most often with one species undergoing oxidation while another species undergoes reduction.
Step-by-step explanation:
hope it helps
Solve the inequality.
x + 5 < 6
x<
Answer:
x<1
Step-by-step explanation:
x+5<6 - 6-5
x<1
Please fill the blanks
Answer:
First box
8pi-(7pi/4)= pi/4
Second Box:
Tan 7pi/4= 0.09625006863
Step-by-step explanation:
What is the vertex of the graph of y = x2 + 4X?
O (-2, -12)
O (-2,-8)
O(-2,-6)
O (-2,-4)
Answer:
vertex = (- 2, - 4 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c ( a ≠ 0 )
Then the x- coordinate of the vertex is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 4x ← is in standard form
with a = 1, b = 4, c = 0 , then
x = - [tex]\frac{4}{2}[/tex] = - 2
Substitute x = - 2 into the equation for corresponding value of y
y = (- 2)² + 4(- 2) = 4 - 8 = - 4
vertex = (- 2, - 4 )
I need help again please!
Answer:
C = 28
Step-by-step explanation:
6/42 = 32-x/x
Answer:
C = 28
I hope this helped you
4. In slope-intercept form, what is the equation of a line perpendicular toy - 2x + 7 that passes
through the point (5,8)?
a y - 4x + 21
b. y - 2x ***
a.y=2x-31
Answer:
y = (-1/2)x + 21/2
Step-by-step explanation:
Given equation:
y - 2x + 7
Coordinates = (5,8)
Find:
Perpendicular equation
Computation:
y = mx + c
y - 2x + 7
y = 2x - 7
So,
m = 2
The negative reciprocal of 2 is -1/2
So,
For,
Coordinates = (5,8)
y = mx + c
8 = (-1/2)(5) + c
8 = -5/2 + c
c = 8 + 5/2
c = 21 /2
So,
y = mx + c
y = (-1/2)x + 21/2
3
If f(x) =
x
-VX-3, complete the following statement:
X + 2
than or equal to
The domain for f(x) is all real numbers.
3.
Answer here
SUBMIT
Answer:
Greater
Step-by-step explanation:
Because x-3 must be greater or equal zero and x must be not equal -2
Please help me. I am confused, and I will give you anything you want. Just help me i swear I do anything. SOS. I just need one question to be answer
Emma and Zeke own an online business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.
please answer the question by reading the text. also what is the relationship between
1) Write an equation describing the relationship between
Answer:
Step-by-step explanation:
P= plain coasters
L= logo coasters
3(P+L) +25 if they want to buy logo coasters or logo and plain coasters
3P if they want to buy plain coasters
no matter the amount of logo coasters there is a one time charge of $25
So we do not need to know how many with logo
The prize of both kind of coaster is $3
1/2-1/4 is equal to
Step-by-step explanation:
1/2 -1/4
2*4-1*1/4
=1/4.
1/4is answer
Answer:
[tex] \frac{1}{4} [/tex]Step-by-step explanation:
[tex] \frac{1}{2} - \frac{1}{4} [/tex][tex] \frac{1}{2} \times \frac{2}{2} - \frac{1}{4} [/tex][tex] \frac{2}{2 \times 2} - \frac{1}{4} [/tex][tex] \frac{2}{4} - \frac{1}{4} [/tex][tex] \frac{2 - 1}{4} [/tex][tex] \frac{1}{4} [/tex]Hope it is helpful...2. If the sales tax on a $825 television set is 7%, how
much will you pay in total?
Please help!!Either question is fine!
Answer:
$882.75
Step-by-step explanation:
In order to calculate tax, you need to multiply the percentage by the purchase costs. First, start by finding the decimal value of the percentage.
7 ÷ 100 = 0.07 — Percentage converted to a decimal.
[tex]825 \times 0.07 = 57.75[/tex]
— The tax. Now, in order to find the whole price, the tax and retail price must be added together.
[tex]825 + 57.75 = 882.75[/tex]
As per linear equation, the amount I have to pay in total is $645.
The simplified value of the given expression is (8 - 17x).
What is a linear equation?"A linear equation is an equation in which the highest power of the variable is always 1."
1. Given, the cost of television is $825.
The sales tax rate is 7%.
Therefore, total price of the television is
= $[tex][825 + (\frac{825(7)}{100})][/tex]
= $[tex](825+57.75)[/tex]
= $[tex]882.75[/tex]
2. The given expression is:
[tex]-4(3x - 2)- 5x\\= -12x + 8-5x\\= 8-17x[/tex]
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Lines RS, TV, and SW are shown.
On a coordinate plane, 3 lines are shown. Line R S goes through (negative 8, 6) and (2, 6). Line T V goes through (negative 6, negative 4) and (8, negative 4). Line S W goes through (2, 6) and (2, negative 8).
Which statements are true about these lines? Select three options.
Line RS has a slope of 6.
Line SW has an undefined slope.
Line TV has a slope of 0.
Lines RS and TV are parallel.
Line SW is perpendicular to line RS, but not to line TV.
9514 1404 393
Answer:
(b) Line SW has an undefined slope.
(c) Line TV has a slope of 0.
(d) Lines RS and TV are parallel.
Step-by-step explanation:
A horizontal line has 0 slope. Lines RS and TV are horizontal, hence are parallel and have 0 slope.
A vertical line has undefined slope. Line SW is vertical, hence has undefined slope.
Answer:
B,C,D
Step-by-step explanation:
Jada bought a bag
for its 75 and
sold for 85.did she Profit or lose
❀ [tex]\huge\underline{ \underline{ \tt {ANSWER :-}}}[/tex]
⁺˚*･༓☾✧.* ☽༓･*˚⁺‧
⟹ Jada will have a profit because she sold the bag for money than she had bought it for.
[tex]85 - 75 \\ = 10[/tex]
⟹ She'll have about 10 (currency name) as the profit.
⁺˚*･༓☾✧.* ☽༓･*˚⁺‧
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ
[tex]\underbrace{ \overbrace{ \tt{Carry \: On \: Learning}}}[/tex]
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
What is the result if -8ײ +24× divided by -4×
Solve the rational equation:
2x/x-1 - 2x-5/x^2 -3x+2 = -3/x-2
Answer:
Step-by-step explanation:
[tex]\frac{2x}{x-1} -\frac{2x-5}{x^2-3x+2} =\frac{-3}{x-2} \\\frac{2x}{x-1} +\frac{3}{x-2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x(x-2)+3(x-1)}{(x-1)(x-2)} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-4x+3x-3}{x^2-2x-x+2} =\frac{2x-5}{x^2-3x+2} \\\frac{2x^2-x-3}{x^2-3x+2} =\frac{2x-5}{x^2-3x+2} \\x\neq 1,x\neq 2,x^2-3x+2\neq 0\\multiply~by~x^2-3x+2\\2x^2-x-3=2x-5\\2x^2-3x+2=0\\x=\frac{3\pm\sqrt{9-4*2*2} }{2*2} \\x=\frac{3 \pm\sqrt{-7} }{4} \\x=\frac{3 \pm \sqrt{7} i}{4}[/tex]
The solutions of the given rational equation are 13/4 and 11/4.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
The given equation is 2x/(x-1) - (2x-5)/(x² -3x+2) = -3/(x-2)
Here, 2x/(x-1) - (2x-5)/(x² -2x-1x+2) = -3/(x-2)
2x/(x-1) - (2x-5)/(x(x-2)-1(x-2)) = -3/(x-2)
2x/(x-1) - (2x-5)/((x-2)(x-1)) = -3/(x-2)
(2x(x-2)-(2x-5))/((x-2)(x-1)) = -3/(x-2)
(2x²-4x-2x+5)/(x-1)=-3
2x²-4x-2x+5= -3(x-1)
2x²-6x+5=-3x+3
2x²-6x+5+3x-3=0
2x²-3x+2=0
By using quadratic formula, we get
x=3±√(9-8)/4
x=3± 1/4
x= 3+1/4 and x=3-1/4
x=13/4 and x=11/4
Therefore, the solutions of the given rational equation are 13/4 and 11/4.
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Find the volume of this sphere.
Use 3 for T.
1 Select the correct answer. Kalid simplified a polynomial expression as shown. (6x3 + 8x2 − 7x) − (2x2 + 3)(x − 8) step 1 (6x3 + 8x2 − 7x) − (2x3 − 16x2 + 3x − 24) step 2 6x3 + 8x2 − 7x − 2x3 − 16x2 + 3x − 24 step 3
Answer:
So, the step1 is correct.
Step-by-step explanation:
The expression is
[tex](6 x^3 + 8 x^2 - 7 x)-(2x^2 + 3)(x- 8)\\\\(6 x^3 + 8 x^2 - 7 x) - (2x^3 - 16 x^2 + 3 x - 24)\\\\6 x^3 + 8 x^2 - 7 x - 2 x^3 - 16 x^2 + 3 x - 24\\\\4 x^3 - 8 x^2 - 4 x - 24[/tex]
So, the step 1 is correct.
The triangle below is isosceles. Find the length of side x in simplest radical form with
a rational denominator.
I really need help :(
Answer:
Value of x = 3√2 unit
Step-by-step explanation:
Given:
Hypotenuse of given triangle = 6 unit
Length of equal side = x units
Find:
Value of x
Computation:
Using pythagorean theorem
Hypotenuse² = Perpendicular² + Base²
Hypotenuse of given triangle² = Perpendicular² + Base²
6² = x² + x²
36 = 2x²
x² = 36/2
x² = 18
x = √18
x = 3√2
Value of x = 3√2 unit
Which statement about the equation 3x ^ 2 + 9x - 12 = 0 is true ? 1 . The product of the roots is -12 . 2 The product of the roots is -4 . 3 The sum of the roots is 3 . The sum of the roots is -9 .
Answer:
Option : The product of the roots is - 4
Step-by-step explanation:
[tex]3x^2 + 9x - 12 = 0\\\\3x^2 + 12x - 3x - 12 = 0\\\\3x(x+4) -3(x+4) = 0\\\\(3x - 3) (x+ 4) = 0\\\\[/tex]
Therefore the roots are -4 and 1
The product of the roots are -4 x 1 = -4
Evaluate.
3·(7-3)²=?
A pharmaceutical company receives large shipments of ibuprofen tablets and uses an acceptance sampling plan. This plan randomly selects and tests 26 tablets, then accepts the whole batch if there is at most one that doesn't meet the required specifications. What is the probability that this whole shipment will be accepted if a particular shipment of thousands of ibuprofen tablets actually has a 4% rate of defects
Answer:
0.7208 = 72.08% probability that this whole shipment will be accepted.
Step-by-step explanation:
For each tablet, there are only two possible outcomes. Either it meets the required specifications, or it does not. The probability of a tablet meeting the required specifications is independent of any other tablet, which means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
4% rate of defects
This means that [tex]p = 0.04[/tex]
26 tablets
This means that [tex]n = 26[/tex]
What is the probability that this whole shipment will be accepted?
Probability that at most one tablet does not meet the specifications, which is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
Thus
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{26,0}.(0.04)^{0}.(0.96)^{26} = 0.3460[/tex]
[tex]P(X = 1) = C_{26,1}.(0.04)^{1}.(0.96)^{25} = 0.3748[/tex]
Then
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.3460 + 0.3748 = 0.7208[/tex]
0.7208 = 72.08% probability that this whole shipment will be accepted.
Check whether (0, -2) is solution of the equation x - 2y = 4 or not.
Answer: Yes, it is a solution
===================================================
Explanation:
Any ordered pair, aka point, is of the form (x,y)
x is always listed first
The point (0,-2) means x = 0 and y = -2 pair up together
Let's plug them into the equation and simplify everything
x-2y = 4
0-2(-2) = 4
0+4 = 4
4 = 4
We end up with a true statement since we get the same thing on both sides, therefore the original equation is true for (x,y) = (0,-2)
(0,-2) is a solution to the given equation
Phrased another way: the point (0,-2) is on the line x-2y = 4. This point is the y intercept.
