x is an integer.
The Lowest Common Multiple (LCM) of x and 12 is 120
The Highest Common Factor (HCF) of x and 12 is 4
Work out the value of x
Since 120 = 12 • 10 and LCM(x, 12) = 120, these suggest x is some multiple of 10.
HCF(x, 12) = 4 tells us that x is a multiple of 4.
If x is a both a multiple of 4 and 10, then the smallest x that fits both conditions is 4 • 10 = 40. (-40 also satisfies the criteria.)
The value of x for which the LCM and HCF of x and 12 are 120 and 4 respectively is 40.
What do we mean by Lowest Common Multiple (LCM) and Highest Common Factor (HCF)?
The Lowest Common Multiple (LCM) of the numbers is the smallest common multiple of the given numbers.
The Highest Common Factor (HCF) of the numbers is the greatest factor of the given numbers.
In the case of two numbers, the product of LCM and HCF is equal to the product of the numbers.
How do we solve the given question?We are given two numbers, x and 12.
Their LCM and HCF are 120 and 4 respectively.
We are asked to find the number x.
For two numbers, we know that the product of two numbers is equal to the product of their HCF and LCM.
∴ x*12 = 120*4
or, 12x = 480
or, x = 480/12
or, x = 40.
∴ The value of x for which the LCM and HCF of x and 12 are 120 and 4 respectively is 40.
Learn more about HCF and LCM at
https://brainly.com/question/21504246
#SPJ2
One baseball team won 30 games throughout their entire season. Of all their games, this team won 60% of them. Given this, how many games in total did this team play? Round your answer to the nearest whole number if necessary.
Answer:
18 Games
Step-by-step explanation:
For this problem we will have to use the same percentage Therom again, except this time we are solving for a diffrent variable.
Total Games * Percentage won in fraction form = Games won
Fill the values.
30 * 3/5 = X
Simplify
18=X
Joan must save at least $500 to open a savings account. She saves $80 each month toward her goal. What is the fewest number of months before Joan can open the account?
A. 5 months
B. 6 months
C. 7 months
D. 8 months
500 divided by 8 is 6.25 ( 6 months and 25 days) so he answer round to the nearest digit is 6 so the answer is B (6 months)
Jaylen bought j crackers and combined them with Marvin m crackers they then split the crackers equally among 7. Type an algebraic expression that represent the verbal expression
Answer:
Gimme brainliest
Step-by-step explanation:
ip grabber goated
if radius equals 3 and the arc that bounds that sector is 40° what is the sector area and arc length equal?
Answer:
Sector area= 3.143 units²
Arc length = 2.095 units
Answer:
arc length = 3 * 40° * (PI / 180)
arc length = 2.0943951024
sector area = (radius * angle (radians))
sector area = (3 * 0.6981317008)
sector area = 3.1415926536
Source: https://www.1728.org/radians.htm
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPpppppp
Answer:
∅
Step-by-step explanation:
y = -x - 2
3x + 3y = 6
3x + 3(-x - 2) = 6
3x - 3x - 6 = 6
0x - 6 = 6
0 = 12
SOLUTION DNE (∅)
I hope this helps!
a , b , c , d ???????????
Answer:
c
Step-by-step explanation:
if this is wrong im sorry...
Hey there! Can anyone help me out with this? I need help with both of these. Will give brainliest! :D
[tex]area = length \times width[/tex]
____________________________________________
c .
[tex]area = \frac{3}{8} \times \frac{4}{5} \\ [/tex]
[tex]area = \frac{4 \times 3}{4 \times 2 \times 5} \\ [/tex]
[tex]area = \frac{3}{2 \times 5} \\ [/tex]
[tex]area = \frac{3}{10} \: \: {cm}^{2} \\ [/tex]
_____________________________________________
d.
[tex]area = \frac{1}{4} \times \frac{3}{7} \\ [/tex]
[tex]area = \frac{3}{28} \: \: {m}^{2} \\ [/tex]
Teresa deposits $3,500 in an account that earns
2.25% compounded annually. What is the total
balance at the end 14 years? (Round to the
nearest cent) TEKS A2.5(B)(D)
The total amount accrued, principal plus interest, with compound interest on a principal of $3,500.00 at a rate of 2.25% is $4,779.19.
Compound InterestGiven Data
Principal P= $3,500 Rate r = 2.25%Time t = 14 yearsFinal Amount A = ??A = P + I where
P (principal) = $3,500.00
I (interest) = $1,279.19
Calculation Steps:
First, convert R as a percent to r as a decimal
r = R/100
r = 2.25/100
r = 0.0225 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 3,500.00(1 + 0.0225/1)^(1)(14)
A = 3,500.00(1 + 0.0225)^(14)
A = $4,779.19
Learn more about compound interest here:
https://brainly.com/question/24924853
If you borrow $700 for 5 years at
an annual interest rate of 7%, how
much will you pay altogether?
The amount you would pay altogether if you borrow $500 for 5 years at
an annual interest rate of 7% is $945.
How much would you pay altogether?The amount you would pay altogether is the sum of the amount borrowed and the interest.
Total value of the debt = interest + amount borrowed
Interest = $700 x 7% x 5 = $245
Total value of the debt = $245 + $700 = $945
9) In spite of offering 20 % discount on a watch priced at Rs. 300, a shopkeeper gains 20 %. What is the cost price of the watch ? (A) Rs. 250 (B) Rs. 200 (C) Rs. 260 (D) Rs. 280
Answer:
B) Rs. 200 is C.P. when shopkeeper gains 20% even though he offers 20% discount on a watch having M.P. Rs 300
For a class project, Mr. Turner has 350 sheets of paper to offer to his students. The paper comes in a variety of. The table shows the number of sh eets of each color. Which equation would I use? Please help fast! I’ll respond
Answer:
B
Step-by-step explanation:
Is the correct answer
Simplify by combining like terms:
n − 10 + 9n − 3
Answer:
10n-13
Step-by-step explanation:
What is the equation of the line that passes
through the point (-2,2) and the point (-6,4)?
Answer:
y = -1/2x+1
Step-by-step explanation:
First step is to find the slope
m = (y2-y1)/(x2-x1)
= ( 4-2)/(-6 - -2)
(4-2)/(-6+2)
2/-4
-1/2
Then we can use the slope intercept form of a line
y = mx+b where m is the slope and b is the y intercept
y = -1/2x+b
Substitute a point into the equation to find b
2 = -1/2(-2) +b
2 = 1+b
Subtract 1 from each side
1 =b
y = -1/2x+1
y = mx + b
Where m = slope and b is the y intercept
Let's find the slope = change in y/change in x
m = (4-2)/(-6+2) = 2/-4 = -1/2
Now we have:
y = (-1/2)x + b
Now substitute point (-6,4)
4 = (-1/2)(-6) + b
4 = 3 + b
b = 1
So y = (-1/2)x + 1 is the equation
ANSWER:
[tex]y=(-\frac{1}{2})x[/tex]+1
so letter c
Laura has a set of 16 books. Each book in the set weighs the same. One book has a weight of 0.8 kilograms (kg). Laura wants to find the total weight, w, of the set of books. What is the equation and solution shows the total weight(w) of the set of books?
Answer:
12.8kg
Step-by-step explanation:
1 book =0.8kg
16 books=16*0.8kg
which is equal to 12.8kg
Assume that 60% of the students at Remmington High studied for their Psychology test. Of those that studied, 25% got an A, but only 8% of those who didn't study got an A. What is the approximate probability that someone that gets an A actually studied for the Psychology test
The probability that someone that gets an A actually studied for the Psychology test is 0.15 or 15% if 60% of the students at Remmington High studied for their Psychology test. Of those that studied, 25% got an A, but only 8% of those who didn't study got an A.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Let A = the students get an A
Let B = the student's studied for the psychology test
We know that probability:
P(B) = 60% = 0.60 and
P(A/B) = 25% = 0.25
We know that:
[tex]\rm P(A/B) = \frac{P(A\cap B)}{P(B)} = 0.25[/tex]
Now the probability that someone that gets an A actually studied for the Psychology test:
P(A∩B) = P(B) ×0.25
P(A∩B) = 0.60×0.25
P(A∩B) = 0.15
Thus, the probability that someone that gets an A actually studied for the Psychology test is 0.15 if 60% of the students at Remmington High studied for their Psychology test. Of those that studied, 25% got an A, but only 8% of those who didn't study got an A.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ1
help me please need help
Answer:
Step-by-step explanation:
Hypotenuse: The longest side in the triangle and it is opposite to 90°
Opposite Side: The side oppoiste to the angle.
Adjacent side: The side next to the angle.
First find 'c' using Pythagorean theorem,
c² = 9² + 12²
= 81 + 144
= 225
c =√225
c = 15
[tex]\sf \ Sin \ \theta = \dfrac{opposite \ side \ of \ \theta}{hypotenuse}= \dfrac{12}{15}[/tex]
[tex]\sf \ Cos \ \theta = \dfrac{adjacent \side \ of \ \theta}{hypotenuse}= \dfrac{9}{15}\\\\ Tan \ \theta= \dfrac{opposite \ side \ of \ \theta}{adjacent \ side \ of \ \ theta}= \dfrac{12}{9}[/tex]
[tex]\sf \ Csc \ \theta= \dfrac{hypotenuse}{opposite \ side \ of \ \ theta}= \dfrac{15}{12}\\\\\ Sec \ \theta = \dfrac{hypotenuse}{adjacent \ side \ of \ \theta}= \dfrac{15}{9}\\\\Cot \ \theta= \dfrac{adjacent \ side \ of \ \theta}{opposite \ side \ of \ \theta}= \dfrac{9}{12}[/tex]
[tex]\sf \ Sin \ \alpha = \dfrac{opposite \ side \ of \ \alpha \theta}{hypotenuse}= \dfrac{9}{15}[/tex]
[tex]\sf \ Cos \ \alpha = \dfrac{adjacent \side \ of \ \alpha }{hypotenuse}= \dfrac{12}{15}\\\\ Tan \ \alpha = \dfrac{opposite \ side \ of \ \alpha }{adjacent \ side \ of \ \ theta}= \dfrac{9}{12}[/tex]
[tex]\sf \ Csc \ \alpha = \dfrac{hypotenuse}{opposite \ side \ of \ \alpha }= \dfrac{15}{9}\\\\\ Sec \ \alpha \theta = \dfrac{hypotenuse}{adjacent \ side \ of \ \alpha }= \dfrac{15}{12}\\\\Cot \ \alpha = \dfrac{adjacent \ side \ of \ \alpha }{opposite \ side \ of \ \alpha }= \dfrac{12}{9}[/tex]
What’s The Answer Of This? Please Help
Answer:
x = 85°
y = 45°
Step-by-step explanation:
For x, a line measures 180°, so subtract 95° from 180° to get 85°.
For y, all the angles in a triangle measure to 180°, and since we know x, add it to 50° and subtract it from 180°. 85° + 50° = 135°, and 180° - 135° = 45°
Answer:
x = 85
y = 45
Step-by-step explanation:
for x, angles on a straight line add up to 180 so 95 + x = 180 then evaluate for x
for y, angle in a triangle add up to 180 so 50+85 (as evaluated for x) +y= 180 and evaluate for y
Katie went to a craft store to purchase the supplies she needed to make two types of jewelry. The table shows the cost of supplies Katie needed. Katie purchase the exact amount of supplies to make 1 bracelet and 2 necklaces.
Part A Write an expression to determine the cost of supplies to make 1 bracelet.
Answer: 25($0.05)+4($0.45)
Cost of bead +cost of charm needed for 1bracelet
Step-by-step explanation: If you need to break it down further,
$1.25+$1.8=$3.03.05
Rectangle ABCD is rotated by 90 degrees clockwise about the origin then translated 3 units left and 2 units down to form A'B'C'D
What is the length, in units of line segment A'B' in the resulting figure?
The length in units of the line segment A'B' in the resulting figure is the same as the length of line segment AB in the previous rectangle.
Translation of shapes in the Cartesian planeForm the task content;
It follows that the initial rectangle A is only translated and hence, the size of each of its sides remains constant.The translation which occurs on the rectangle only shifts the whole rectangle leftward and downward and hence, each line segment in the rectangle still retains its length.
Read more on translation in the Cartesian plane;
https://brainly.com/question/5471952
(30 points) Find the volume of the cylinder.
Either enter an exact answer in terms of
π
πpi or use
3.14
3.143, point, 14 for
π
πpi.
Answer:
I guess both of the answers are correct.Hope the picture will help you.....
Answer: the answer on khan academy is 144 pie units^3
uuuhhhhhhhhh.....
The probability that an event will occur is fraction 2 over 3 . Which of these best describes the likelihood of the event occurring?
Likely
Certain
Unlikely
Impossible
STOP DELETING MY FREAKIN QUESTIONS
Answer:
Likekly
Step-by-step explanation:
P(particular event) = [tex]\frac{2}{3}[/tex]
Out of 3, 2 is success. so, it is likely
HELP!!!!
Find the inverse of f(x)=5x-4.
The inverse of f is g(x)= ?
If g(x) is the inverse of f(x), then by definition of inverse function,
f(g(x)) = g(f(x)) = x
Given that f(x) = 5x - 4, we have
f(g(x)) = 5 g(x) - 4 = x
Solve for g(x) :
5 g(x) - 4 = x
5 g(x) = x + 4
g(x) = (x + 4)/5
In EFG the measure of G=90 FG=21 and EF=63 feet find the measure of E to the nearest degree.
Answer:
∠ E ≈ 71°
Step-by-step explanation:
using the cosine ratio in the right triangle
cos E = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{EG}{EF}[/tex] = [tex]\frac{21}{63}[/tex] , then
∠ E = [tex]cos^{-1}[/tex] ( [tex]\frac{21}{63}[/tex] ) ≈ 71° ( to the nearest degree )
If d = the number of dogs, which variable expression represents the phrase
below?
the sum of the number of clogs and the 6 cats
Answer:
=d+6c
Step-by-step explanation:
I hope this is the right answer
PLEASE HELP!!! I have no idea how to solve for this
m1=
Answer:
mAngle 1 = 40°
Step-by-step explanation:
You can use Corresponding Angles to directly state Angle1 is 40°. If you have to prove it you can show that the horizontal lines are parallel bc they are both perpendicular to the same line (the vertical line in the middle)
OR...
Use vertical angles and supplementary angles to find all the six pack of angles right in the middle of the diagram. 40°, 50°, 90°, 40°, 50° 90° And the use the idea that a triangle's three angles must add up to 180°.
90+50+Angle1=180
140 + Angle1 = 180
Angle1 = 40°
Diane brought 16 packs of cola to a party, and each pack had 8 cans. Maria brought 9 cans of juice. How many cans did they bring in all?
Answer:
137
Step-by-step explanation:
There were 16 packs of cola with 8 cans each, so that is 8 16 times, or 16 · 8.
16 · 8 = 128 cans
The amount of cans Maria brought is already given. All that's left is to add the amounts.
128 + 9 = 137
They brought 137 cans in all.
hope this helps!
Please help? This is complicated
What is the equation of the line that is perpendicular to the given line and has an x-intercept of 6? y = –three-fourthsx 8 y = –three-fourthsx 6 y = four-thirdsx – 8 y = four-thirdsx – 6
Answer:
y = –three-fourthsx
Step-by-step explanation:
Can someone help me with this
Answer:
3^14
Step-by-step explanation:
Taking a look at the question, try to break it down into these general steps:
1. Identify the base number. Are they the same? In this case, the base number is 3 so they are the same.
2. Recall the rules when multiplying exponents. In this case, multiplying exponents across will end up being 9+5.
3. Rewrite the equation as 3^(9+5). This should give you 3^14