Answer:
Step-by-step explanation:Given that the numerator of a given fraction is 4 less than its denominator.
Also given that 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth .
Let the fraction be
Since the numerator of a given fraction is 4 less than its denominator we have,
Numerator=Denominator-4
⇒ a=b-4
Since 3 is subtracted from the numerator and 5 is added to the denominator, the fraction becomes one by fourth we have
4(a-3)=1(b+5)
4a-12=b+5
4a-b=17
4(b-4)-b=17 ( ∵ a=b-4)
4b-16-b=17
3b=17+16
3b=33
⇒ b=11
Now put b=11 in a=b-4 we get
a=11-4
⇒ the fraction is a/b=7/11
what does the following expression mean?
7!
A. 7+6+5+4+3+2+1
B. 7·6·5·4·3·2·1
Answer: B
Step-by-step explanation:
A factorial is multiplying the integer and all of the integers below it together.
The product of a whole number 'n' with every whole number until 1 is called the factorial. The correct option is B.
What is a factorial?The product of a whole number 'n' with every whole number until 1 is called the factorial. The factorial of 4 is, for example, 43221, which equals 24.
The expression 7! means 7 factorial which is expanded as,
7! = 7 × 6 × 5 × 4 × 3 × 2 × 1
Hence, the correct option is B.
Learn more about Factorial:
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what is 2/3 of 1/2
WILL MARK AS BRAINLIEST
Answer:
1/3
Step-by-step explanation:
2/3*1/2 =1/3
Round 45.628 to the nearest tenth.
Answer:
Step-by-step explanation:
45.6
The ratio of the measurement of an angle to its complement is 1: 2. Find the measurement of the angle and it’s complement.
Answer:
1.x=90 degrees
2.smaller angles =30
3.larger angles =(30×2)=60
Step-by-step explanation:
Complement angle=90 degrees
90/3 (because need to separate into 3 parts) =30 degrees
1part =30 degrees
1:2
(1×30):(2×30)
30:60
Find the area of the shaded sector
Answer by 11:59 today!!!
Answer:
x = 30
Step-by-step explanation:
These angles are all supplementary (they all add up to 180) so:
x + 3x + 2x = 180
6x = 180
x = 30
A camera shop purchases a camera for $56.98 and sells it for $102.56. What is the percent of markup?
180%
120%
80%
20%
Answer:
180%
Step-by-step explanation:
Set up an equation:
Variable x = percent of markup
102.56/56.98 = x/100
Cross multiply
102.56 × 100 = 56.98 × x
10,256 = 56.98x
Divide both sides by 56.98:
179.99297.... = x
Round to nearest whole number:
180 = x
Check your work:
56.98 × 180%
Convert the percentage into a decimal:
56.98 × 1.80
102.564
Round to nearest cent:
102.56
Correct!
Find an equivalent ratio in simplest terms: 22:12 22:12
Answer:
11:6
Step-by-step explanation:
hope this helps :)
the sum of two rational numbers is -5 if one of the number is -13/6 find the other number
Answer:
[tex]Let \ the \ number \ be = x\\sum \ of \ 2 \ rational \ numbers = -5\\\\x + \frac{-13}{6} = -5\\\\x - \frac{13}{6} = -5\\\\[/tex]
[tex]x = -5 + \frac{13}{6} = \frac{-30 + 13}{6} = -\frac{17}{6}[/tex]
The other rational number = -17/6
======================================================
Work Shown:
A = first rational number = -13/6B = second rational number = unknownA+B = -5 ... since the sum of both is -5
B = -5-A
B = -5-(-13/6)
B = -5+13/6
B = -30/6 + 13/6
B = (-30+13)/6
B = -17/6 is the answer
---------------
Extra info:
This improper fraction converts to the mixed number -2 & 5/6
In decimal form, it's approximately equal to -17/6 = -2.833
The transportation department predicts that about 800,000 cars will be registered in a certain state by year 2012. Their license plates are made using and two letters followed by and three digits from 0 to 9. Will there be enough possible arrangements?
Answer:
There won't be enough arrangement
Step-by-step explanation:
Given
[tex]Letters = 2[/tex]
[tex]Digits= 3[/tex]
[tex]Cars = 800000[/tex]
Required
Determine if the possible arrangement will be enough
The 2 letters can be selected from any of the 26 alphabets without restriction.
So, the selection of letters is:
[tex]Letters = 26 * 26[/tex]
The 3 digits can be selected from any of the 10 digits without restriction.
So, the selection of digits is:
[tex]Digits = 10*10*10[/tex]
The total arrangement is:
[tex]Total = Letters * Digits[/tex]
[tex]Total = 26*26*10*10*10[/tex]
[tex]Total = 676000[/tex]
By comparison:
[tex]Total < Cars[/tex]
i.e.
[tex]676000 < 800000[/tex]
Hence, the arrangement will not be enough
Which of the following is a secant on the circle below?
V
s
R 120
120°
T
O A. SU
B. RT
C. SU
D. UT
helpp someonee
Answer:
A and B
Step-by-step explanation:
A secant is a line which intersects a circle at 2 points
SU and RT both intersect the circle at 2 points and are secants
Answer:its SU
Step-by-step explanation:
ITS THE ONLY CORRECT ANSWER YALL
u don’t have to explain
Answer:
6
Step-by-step explanation:
RQ=x
x/9=4/6
x=(9*4)/6
x=6
Type the correct answer in the box. Round your answer to the thousandth place.
The board of directors of a company knows that the probability that carbon emissions from the company’s factory exceed the permissible level is 35%. They hire a consultant who uses a carbon footprint calculator to test the emissions level. The accuracy of the test is 85%.
The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is
.
Answer:
The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place)
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Probability that carbon emissions from the company’s factory exceed the permissible level = 35% = 0.35
Accuracy of the test of emissions level = 85% = 0.85
2. The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is?
These two events, carbon emissions from the company’s factory and the accuracy of the test are independent events, therefore:
Probability that carbon emissions from the factory are within the permissible level = 1 - 0.35 = 0.65
Probability that the test predicts the opposite to be true = 0..35 * 0.85 = 0.2975 (The opposite is that the carbon emissions from the company exceed the permissible level)
Probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is:
0.65 * 0.2975 = 0.193375
The probability that carbon emissions from the factory are within the permissible level and the test predicts the opposite to be true is 19.338% (Rounding to the next thousandth place
MARK BRAINLIEST PLS
if you know how to do this pls help thankyou!
Answer : 49
I hope you understand sorry for the ugly writing
If Jayna's shuffler is working properly and randomizing the playlist after each song, what is the probability of playing a slow song?
ANSWER IS 33.33%
Answer:
1 song is a slow song, 2 songs are not
Step-by-step explanation:
that would give you 1/3 probability = 33.3333333333333%
Solve the system of equations.
Answer:
x = 2, y = 1
Step-by-step explanation:
x + 3y = 5
3y = -x + 5
y = -1/3x + 5/3
-x + 6y = 4
-x + 6(-1/3x + 5/3) = 4
-x - 2x + 10 = 4
-3x = -6
x = 2
x + 3y = 5
2 + 3y = 5
3y = 3
y = 1
Determine the value of x in the diagram.
What is the following product of the cube root of 16 X to the seventh times the cube root of 12 X to the ninth
Answer:
7
Step-by-step explanation:
hi I don't know what to do
If on a triangle, angle A is 5x, B is 4X, and C is
3x, what is the measurement for each angle.
Answer:
A=75, B=60, C=45
Step-by-step explanation:
5x+4x+3x=180
12x=180
x=15
plug them in and get
A=5(15)=75
B=4(15)=60
C=3(15)=45
Please help A.S.A.P its due today!
Answer: Ok Here you go.
Step-by-step explanation:
Write an equation of a line with the given slope and y-intercept. slope: - 13 y-intercept: –1
Answer:
y = -13x - 1
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define
Identify variables
Slope m = -13
y-intercept b = -1
Step 2: Find Equation
Substitute in variables [Slope-Intercept Form]: y = -13x + -1Simplify: y = -13x - 12a2 + 3b2 + a2 + b2
Answer:
Solution given:
2a2 + 3b2 + a2 + b2
adding like terms
2a²+a²+3b²+b²
3a²+4b² is a required answer.
Someone please help I'm horrible at math :(
Answer:
6
Step-by-step explanation:
The verticle line in the box is the median
The function f(x) is graphed below. what is f(1)?
Answer:
f(1) = - 3
Step-by-step explanation:
Locate x = 1 on the x - axis, then go vertically down to (1, - 3 ) , then
f(1) = - 3
What is the wall height for H??
Answer:
Step-by-step explanation:
Side "h" ( wall height ) is 35
The height of the wall "h".
Solution:-[tex]{\boxed{\mathcal{\red{The\:height\:of\:the\:wall\:"h"\:is\:35.71\:ft.}}}}[/tex]
Step-by-step explanation:[tex]\sf\purple{Using\:Pythagoras \:theorem, \:we\:have}[/tex]
[tex]( {Perpendicular})^{2} + ( {Base})^{2} = ( {Hypotenuse})^{2} \\ ➡ \: {h}^{2} + ({35 \: ft})^{2} = ({50 \: ft})^{2} \\ ➡ \: {h}^{2} + 1225 \: {ft}^{2} = 2500 \: {ft}^{2} \\ ➡ \: {h}^{2} = 2500 {ft}^{2} - 1225 \: {ft}^{2} \\ ➡ \: {h}^{2} = 1275 \: {ft}^{2} \\ ➡ \: h \: = \sqrt{1275 \: {ft}^{2} } \\ ➡ \: h = 35.707\: ft \: \\ ➡ \: h = 35.71\: ft[/tex]
[tex]\sf\red{Therefore\:the\:height\:of\:the\:wall\:"h"\:is\:35.71\:ft.}[/tex]
To verify :-[tex]( {35.71 \: ft})^{2} + ( {35 \: ft})^{2} = ({50 \: ft})^{2} \\ ✒ \: 1275 \: {ft}^{2} + 1225 \: {ft}^{2} \: = 2500 \: {ft}^{2} \\ ✒ \: 2500 \: {ft}^{2} = 2500 \: {ft}^{2} \\ ✒ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
What is the graph of y = x2 + 6x + 13 ?
What does the graph look like
Answer:
If I entered it in correctly it would look something like this,,
Gulliver tossed a coin 100 times and got 43 heads. What percent of the tosses where tails?
Answer:
53 %
Step-by-step explanation:
you have the percentage of 43% for heads and you subtract 43 from one hundred and you get 57%
Answer: 57%
Dont ask how but it is 57%
Im just like dat
Marcia drew a quadrilateral with two pairs of parallel sides, four congruent
side lengths, and no right angles. Marcia's quadrilateral can be described as
a ?
Answer: rhombus but no a square
Step-by-step explanation:
how do you find the diameter for 10
Answer:
fxigxitxiyxiyxigxitxitxoyc9ycitxoy
Step-by-step explanation:
xoyxitxitx9yc9yxigx9yx9yxogxigx8tx8t
Answer:
Step-by-step explanation:
If the circumference of the circle is 10 cm, then the diameter is 10 cm/π, or 3.18 cm. If you know the area of the circle, divide the result by π and find its square root to get the radius; then multiply by 2 to get the diameter.
7 2/3-(1 2/4+3 6/8) PLS TELL ME THE RIGHT ANSWER!!!!!!!!
Answer:
The answer should be 29/12 or 2 5/12