❍ Let's say, that the numerator of the fraction be x and denominator of the fraction be y.
⠀⠀⠀⠀⠀━━━━━━━━━━━━━━━━━━━⠀⠀⠀⠀⠀⠀⠀⠀
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[tex]\underline{\sf{Case\;}\it{1}:}[/tex]
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If 2 is added to the numerator of the fraction, it reduces to 1/2.⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore,
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[tex]\begin{gathered}:\implies\sf{\dfrac{x+2}{y}=\dfrac{1}{2}}\\\\\\:\implies\sf{2x+4=y}\\\\\\:\implies\sf{2x=y-4}\qquad\qquad\bigg\lgroup\sf{eq^n\;1}\bigg\rgroup\end{gathered}[/tex]
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[tex]\underline{\sf{Case\;}\it{2}:}[/tex]
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If 1 is subtracted from the denominator of the fraction, it reduces to 1/3.⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
Therefore,
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[tex]\begin{gathered}:\implies\sf{\dfrac{x}{y-1}=\dfrac{1}{3}}\\\\\\:\implies\sf{3x=y-1}\qquad\qquad\bigg\lgroup\sf{eq^n\;2}\bigg\rgroup\end{gathered}[/tex]
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[tex]\qquad\qquad\footnotesize{\underline{\bf{\dag\;}\frak{Subtracting\;eq^n\;2\;from\;eq^n\;1:}}}[/tex]
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[tex]\begin{gathered}:\implies\sf{3x-2x=y-1-y-4}\\\\\\:\implies\underline{\boxed{\pink{\frak{\pmb{x=3}}}}}\;\bigstar\end{gathered}[/tex]
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[tex]\qquad\qquad\footnotesize{\underline{\bf{\dag\;}\frak{Substituting\;value\;of\;x\;in\;eq^n\;1:}}}[/tex]
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[tex]\begin{gathered}:\implies\sf{2x=y-4}\\\\\\:\implies\sf{2(3)=y-4}\\\\\\:\implies\sf{6=y-4}\\\\\\:\implies\sf{6=y-4}\\\\\\:\implies\sf{y=-4-6}\\\\\\:\implies\underline{\boxed{\purple{\frak{\pmb{y=10}}}}}\;\bigstar\end{gathered}[/tex]
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Hence,
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Numerator = x = 3Denominator = y = 10⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀
[tex]\therefore\;{\underline{\sf{Hence,\;the\;fraction\;is\;\frak{\dfrac{3}{10}}}.}}[/tex]⠀⠀
Ahmad's best test score for Chemistry has a z-score of 0.5 as compared to all students in his class. Which statement best interprets his z-score?
A. Ahmad's test score is 0.5 standard deviations below the mean for all students taking the same test.
B. Ahmad's test score is 0.5 points lower than all students taking the same test.
C. Ahmad's test score is 0.5 standard deviations above the mean for all students taking the same test.
D. Ahmad's test score is 0,5 points higher than all students taking the same test.
Answer: C
Step-by-step explanation: z-value comes from equatio
z = number of points - average points ) / deviation.
z = 0,5 is over average value and 0,5 standard deviation higher than average result.
Answer:
the answer is c. Ahmad's test score is 0.5 standard deviations above the mean for all students taking the same test.
Enter the decimal equivalent of 3/5
help me please thanks
The sum angle of triangle is 180°
The angle of line is 180°
The right angle is 90°
x=180-115
x=65°
y=180-65-90
y=90-65
y=25
Which equation should you solve to find x?
A. COS 26 = x/10
B. COS 26 = 9/10
C. Sin 26 = x/10
D. Tan 26 = 9/x
Answer: Choice C
sin(26) = x/10
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Explanation:
With respect to the 26 degree angle, the x is the opposite side and the 9 is the length of the adjacent side.
We can say tan(26) = x/9 because tangent is the ratio of opposite over adjacent. In other words, tan(angle) = opposite/adjacent
Unfortunately, tan(26) = x/9 is not an answer choice.
Luckily though, we have other trig ratios to work with.
The sine ratio ties together the opposite side and hypotenuse
sin(angle) = opposite/hypotenuse
sin(26) = x/10
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Extra info (optional section)
Solving for x leads to...
sin(26) = x/10
10*sin(26) = x
x = 10*sin(26)
x = 4.38371 approximately
Also, note how cos(26) = 0.89879 approximately, which is fairly close to 9/10 = 0.9. This indicates some rounding error is going on when your teacher is displaying either the 9, the 10, or the 26 degree angle.
4400 is placed in an account with an annual interest of rate 11%. how much will be in the account after 5 years, to the nearest cent?
Answer: I don't know
Step-by-step explanation:
4x - 7y = 2
X = -y - 5
Systems of equations using substitution
somebody help me pls it would make my day good!!!
36% I think.... Because there's 100 ppl and 36 of them like cats
Guy is being transferred from his home
Answer:
Good for him.
Step-by-step explanation:
Answer the questions below please.
Answer:
(a) 56 m
(b) 91 cm
Step-by-step explanation:
A black bear gave birth to cubs weighing 9 1/2 lb, 7 lb, 8 1/2 lb , 10 5/8 lb, and 11 3/4 lb. What's the average weight of the Cubs . The average is _ lb. Type a whole number or a simplified fraction .
Answer:
The average weight is 9 19/40
Step-by-step explanation:
To find averages, you add all the quantities and divide by the amount of quantities (9.5+7+8.5+10 5/8+11.75 /5)
Hope this helps! Have a nice day!
A gold, a silver, and a bronze medal are awarded in an Olympic event. In how many possible ways can the medals be awarded for a 200-meter sprint in which there are 12 runners
Answer:
The medals can be awarded in 1,320 possible ways.
Step-by-step explanation:
Given that a gold, a silver, and a bronze medal are awarded in an Olympic event, to determine in how many possible ways can the medals be awarded for a 200-meter sprint in which there are 12 runners, the following calculation must be performed:
12 x 11 x 10 = X
12 x 110 = X
1,320 = X
Therefore, the medals can be awarded in 1,320 possible ways.
what is the solution set for the quadratic equation
[tex]x {}^{2} - 3x - 6[/tex]
Overnight, a pipe cracked and started to leak into a basement. The graph shows the depth of the water in relation to time.
How many inches does the water rise each hour?
___ inches.
How deep is the water after four hours? The water is
__ inches deep.
How long will it take for the water to reach a depth of 80 inches? It will take
__ hours.
Answer:
the water will rise 10 in each hour after 4 hours the water will be 40 in deep and it will take 8 hours for the water to reach a depth of 80 in
The water rises 10 inches each hour. The water is 4 inches deep is the water after four hours. It will take 8 hours for the water to reach a depth of 80 inches.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
A pipe cracked overnight and started to leak into a basement.
The graph represents the depth (d) of the water over time (t).
As per the given graph, the required solution would be as:
Take two points (1, 10) and (5, 50) in the given graph
The linear function will be :
d - 10 = (50-10)/(5-1)(t - 1)
d - 10 = (40/4)(t - 1)
d = 10(t - 1) + 10
d = 10t - 10 + 10
d = 10t
Here slope of the given function is 10, which means 10 inches the water rise each hour.
The value of time (t) = 4 hr corresponds to the depth of water (d) is
d = 10(4) = 40
So, the water is 40 inches deep is the water after four hours
The value of depth of water (d) = 80 in corresponds to the time (t) is
80 = 10t
t = 80/10 = 8
So, It will take 8 hours for the water to reach a depth of 80 inches
Learn more about the graphs here:
brainly.com/question/16608196
#SPJ2
SOMEONE ANSWER QUICK!!
Steven bought 4 pizzas to share with his family. Together, they ate 2 7/12 pizzas on Friday and another 2/3 of a pizza on Saturday. How much pizza is left??
Answer:
3/4 of a pizza is left.
Step-by-step explanation:
4 pizzas minus (2 and 7/12 plus 2/3). Change 2/3 to 8/12 by multiplying the numerator and denominator by 4 to get both denominators the same. 4 pizzas minus (2 and 7/12 plus 8/12 or 2 and 15/12 or 3 and 3/12 or 3 and 1/4). Restated 4 pizzas minus 3and 1/4 pizzas 3/4 pizzas. 3/4 of a pizza is left.
plz help I will mark brainliest :)
Answer:
6,008.3
Step-by-step explanation:
[tex]V=\pi r^{2} h\\V=\pi 7.5^{2} 34[/tex]
Answer:
2nd one is the nearest tenth
Step-by-step explanation:
V=πr²h
Solving it
V=22/7×7.5×7.5×34
V=6010.714286 cm ³
the cypertoy company has determined that out of a productuion run of 50 toys 17 are defectives if 5 toys are chosen at random what is the probabilty that at least 1 defective
Answer:2.9
50 divided by 17 is 2.9
Which expression is equivalent to
4 7/8 / 4 1/4
Answer:
39/34 or 1 5/34
Step-by-step explanation:
4 7/8 is equal to 39/8
4 1/4 is equal to 17/4
39/8 ÷ 17/4 is equal to 39/8 × 4/17
39/8 × 4/17 = 39/34
write a word phrase to represent the numerical expression below.
5 + (17-8)
given 45, 39, 33, 27 ... find a12
Step-by-step explanation:
a12 = 45 + (12-1)(-6)
= 45-66= -21
Step-by-step explanation:
yes, the other answer is correct.
just to explain a little bit more :
the sequence is clearly built by subtracting 6 from one element to the next.
in other words :
a1 = 45
a n = a n-1 - 6
in such a sequence you do the same operation/ calculation over and over again - once per new element.
the operation in this example is simple - as mentioned : subtract 6.
a1 just gives us a starting value (no operation done for for it) zu, the operation is done one time less than the running number of the element.
therefore, the general element generation algorithm/ formula is :
a n = a1 - (n-1)*6
-24x(x-27). multiply
Answer:
I think it 648.
Step-by-step explanation:
I’m really confused somebody please help
Which expression is equivalent to (7s - 21)-(3s - 4st + 7t)?
Answer:
4s+4st-21-7t
Step-by-step explanation:
(7s-21)-(3s-4st+7t)
7s-21-3s+4st-7t
7s-3s-21+4st-7t
4s-21+4st-7t
4s+4st-21-7t
What is the measure of angle A'B'C'?
Answer:
360°
Step-by-step explanation:
360° because ABC is 180°
Write an equation in slope-intercept form of the line that passes through (-1, 4) and (0, 2).
y =
Answer:
[tex]y=-2x+2[/tex]
Step-by-step explanation:
Hi there!
Slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (-1, 4) and (0, 2)
[tex]=\frac{2-4}{0-(-1)}\\=\frac{-2}{0+1}\\=\frac{-2}{1}\\= -2[/tex]
Therefore, the slope of the line is -2. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-2x+b[/tex]
2) Determine the y-intercept
[tex]y=-2x+b[/tex]
Recall that the y-intercept is the value of y when the line crosses the y-axis, meaning that the y-intercept occurs when x is equal to 0.
One of the given points is (0,2). Notice how y=2 when x=0. Therefore, the y-intercept of the line is 2.
Plug this back into the equation:
[tex]y=-2x+2[/tex]
I hope this helps!
if 1.5 million people are in a 2 blocks by 2 blocks area of times square on new years eve, approximately what is the density per square block
Density per square block means the area:
Area = Length x width = 2 x 2 = 4 square blocks.
Now for density divide the population by the area:
1.5 million people / 4 square blocks = 0.375 million people per square block
0.375 million = 375,000
(2x-1) (3x+5) -(2x-1) (x+4)
Answer:
4x^2−1
Step-by-step explanation:
Identify the surface area of the composite figure. HELP ME PLEASE!!!
Answer:
512 m²Step-by-step explanation:
The surface area is a sum of areas of four triangles with base of 8 m and hight of 12 m and areas of five squares with sides of 8 m.
Sa = 4×¹/₂×8×12 + 5×8² = 192 + 320 = 512 m²
Find the Volume. Plz Help
Answer:
B
Step-by-step explanation:
[tex]V = \frac{l*w*h}{2} = \frac{18*12*9}{2} = \frac{1944}{2} = 972[/tex]
Answer:
1944 cm cubed
Step-by-step explanation:
Volume = L*W*H
18 * 9 = 162
12 * 162 = 1944
1944
Suppose you have a deck of 52 cards. Let:
A: draw a 7
B: draw a diamond
Find the probability of A U B and write as a fraction
Answer:
16/52
Step-by-step explanation:
A U B= A + B - A ∩ B
A= 4/52
B= 13/52
A∩B= 1/52 (it's 1/52 because there is only one 7 of diamonds in the deck)
4/52+13/52-1/52= 16/52
What is the measure of Arc DC?