Put these fractions in order of size smallest to largest 3/5 5/6 1/3
Answer:
1/3, 3/5, 5/6
Step-by-step explanation:
There are multiple ways to solve this. The most simple one in my opinion is to put them into decimal form.
3/5= .6
5/6= .83333
1/3= .333333
In this form it is much easier to put them from least to greatest.
1/3, 3/5, 5/6,
Five times a number decreased by nine is equal to twice the number increased by 23. Which equation could be used to solve the problem? 5x – 9 = x + 23 5x – 9 = 2x + 23 5x + 23 + 2x = 23 5x + 23 = 2x + 23
Answer:
5x - 9 = 2x + 23
Step-by-step explanation:
5 times a number is represented by 5x, with x representing the unknown number.
5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.
(5x - 9) is equal to twice the number (2x), increased by 23.
So, the equation is (2x + 23).
Therefore, 5x - 9 = 2x + 23
The equation is 5x - 9 = 2x + 23.
The answer is option A.
Which equation could be used to solve the problem?5 times a number is represented by 5x, with x representing the unknown number.
5x decreased by 9 is (5x - 9) since 9 is being subtracted by 9.
(5x - 9) is equal to twice the number (2x), increased by 23.
So, the equation is (2x + 23).
Therefore, 5x - 9 = 2x + 23
What is an equation example?
An equation is a mathematical announcement this is made up of expressions related to the same signal. For instance, 3x – 5 = 16 is an equation. Fixing this equation, we get the price of the variable x as x = 7.
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someone help with my math
Answer: height = 1.16 ft
Step-by-step explanation:
14 inches = 1.17 feet
Height of the oven =
Height = volume / lw
H = 1.59 / 1.17*1.17
H = 1.16 feet
Answer:
a. 3.25 m
b.1.2 ft
Solution,
a. Let 'h' be the height of cylinder
Given,
Radius(r)=0.7 m
Volume(v)=5 m^3
Formula to find volume of cylinder
[tex]\pi {r}^{2} h[/tex]
where r= radius and h= height
so,
[tex] \frac{22}{7} \times 0.7 \times 0.7 \times h = 5 \\ or \: h = \frac{5 \times 7}{22 \times 0.7 \times 0.7} \\ or \: h = \frac{35}{22 \times 0.49} \\ or \: h = \frac{35}{10.78} \\ h = 3.25 \: m[/tex]
b.
[tex]volume = 1.59 = \frac{14}{12} \times \frac{14}{12} \times h \\ 1.59 = \frac{ {14}^{2} }{144} \times h \\ h = \frac{1.59 \times 144}{196} \\ h = 1.168 \: ft \\ h = 1.2 \: ft[/tex]
hope this helps...
Good luck on your assignment...
a) Write 0.35 as a fraction in its simplest form.
b) Write 3/8 as a decimal.
c) A rectangular carpet measures 12m by 5m. Part of the carpet is covered by square rug of length 2m. What fraction of the carpet is covered by the rug? Give your answer in the simplest form.
Answer:
a.) 7/20
b.) 0.375
c.) 1/15
Step-by-step explanation:
a. 0.35 is out of 1, so to find 0.35 in fraction form: 35/100.
Simplify that down by dividing both top-bottom by 5 and you get 7/20
b. 1/8th of anything is 0.125, so 0.125(3) = 0.375. Alternatively you can use a calc to calculate the decimal.
c. Find the area of the rectangular carpet: 60m. Then find the area of the square rug: 4m
Find the fraction: 4/60
Simplify by dividing top-bottom by 4 and you get 1/15
PLEASE HELP The data in the table are entered into a regression calculator. x 11 23 48 89 126 155 y 49 94 196 362 511 617 Based on the line of best fit produced by the regression calculator, which is the best prediction for the value of y when x = 64? A calculator screen. A 2-column table with 6 rows titled Data. Column 1 is labeled x with entries 11, 23, 48, 89, 126, 155. Column 2 is labeled y with entries 49, 94, 196, 362, 511, 617. The linear regression equation is y almost-equals 3.98 x + 5.022; r almost-equals 1. 250 260 317 325
Answer:
The correct answer is 260
Step-by-step explanation:
Also known as B
Answer:
260 so Answer B
Step-by-step explanation:
What is the factored form of 6n4 – 24n3 + 18n? 6 n (n Superscript 4 Baseline + 4 n cubed + 3n) 6 n (n Superscript 4 Baseline minus 4 n cubed + 3 n) 6 n (n cubed minus 4 n squared + 3) 6 n (n cubed + 4 n squared + 3)
Answer:
6n(n³ - 4n² + 3)
Step-by-step explanation:
Given
6[tex]n^{4}[/tex] - 24n³ + 18n ← factor out 6n from each term
= 6n(n³ - 4n² + 3) ← which may be factored further if required
6n(n³ - 4n² + 3) is the factored form.
What is expression?Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.
Given that,
⇒6n⁴ - 24n³ + 18n
factor out 6n from each term
⇒6n(n³ - 4n² + 3)
There are two factors 6n and (n³ - 4n² + 3) of given expression.
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can you plz help me??? Gwen wants to create a congruent shape to the one she made. Her regular pentagon has a perimeter of 24.2 cm. What is going to be the length of the sides in the shape that she creates? A. 4.84 cm B. 5.84 cm C. 9.68 cm D. 121 cm
Answer:
The answer is A) 4.84 cm :P
Step-by-step explanation:
Gwen wants to create a congruent shape, so, all the sides have to be the same size. And if its a pentagon like in your situation , a pentagon has 5 sides so you have to divide 24.2 cm because it's your regular pentagon by 5 (sides) (24.2 cm ÷ 5 sides = 4.84 cm )
I hope I helped you :P
Answer:
The answer is A.
Step-by-step explanation:
the area of a sector of a circle of radius 15cm is 110cm², calculate the angle of subtended at yhe center of the circle by the arc?
Answer:
44/45 radians
Step-by-step explanation:
The area is given by the formula ...
A = (1/2)r²θ
where θ is the central angle in radians.
Filling in the given numbers, we have ...
110 cm² = (1/2)(15 cm)²θ
θ = (220 cm²)/(225 cm²) = 44/45 radians
The subtended angle is 44/45 radians, about 56.02°.
ART D: THINKING
17
Solve for x in the following diagram. Make sure to show all your work and clearly label your
diagram with any missing information.
E
65
PP
55°
Y
ye
52 m
70°
1151
А
B
Ads
***
Answer:
110.41mStep-by-step explanation:
To get the value f x, we need to use SOH, CAH, TOA identity on ΔAEB but first we need to know any of the sides EB or AB.
From ΔBED, sum of the the angle in the triangle is 180° i.e ∠BED+∠EDB+∠EBD = 180°
65+55+∠EBD = 180
∠EBD = 180-120
∠EBD = 60
Also ∠DBC = 90- ∠EBD
∠DBC = 90- 60
∠DBC = 30°
Applying sine rule on ΔBCD;
52/sin∠DBC = DB/sin115
52/sin30 = DB/sin115
DB = 52sin115/sin30
DB = 52sin115/0.5
DB = 104sin115
DB = 114.75 m
Also applying sine rule on ΔBED to get side BE;
BE/sin55 = 114.75/sin65
BEsin65 = 114.75sin55
BE = 114.75sin55/sin65
BE = 93.998/0.906
BE = 103.75m
Finally, applying the trigonometry identity SOH on ΔABE
sinΔEAB = opp/hyp
sin70° = BE/AE
Since AE = x;
sin70° = 103.75/x
x = 103.75/sin70°
x = 110.41m
Hence, the value of x missing is approximately 110.41m
PLEASE HELP!!!! |6n+7|=8 |3x–1|=4
Answer:
|6n+7|=8= n=1/6,-5/2
|3x–1|=4 x=5/3,-1
Step-by-step explanation:
Urgent, It is a Calculus question and I’ll appreciate your help. Thanks
Answer:
4733
Step-by-step explanation:
Please refer to the attached diagram.
Point A can be assigned x-coordinate "p". Then its y-coordinate is 6p^2. The slope at that point is y'(p) = 12p.
Point B can be assigned x-coordinate "r". Then its y-coordinate is 6r^2. The slope at that point is y'(r) = 12r.
We want the slopes at those points to have a product of -1 (so the tangents are perpendicular). This means ...
(12p)(12r) = -1
r = -1/(144p)
The slope of line AB in the diagram is the ratio of the differences of y- and x-coordinates:
slope AB = (ry -py)/(rx -px) = (6r^2 -6p^2)/(r -p) = 6(r+p) . . . . simplified
The slope of AB is also the tangent of the sum of these angles: the angle AC makes with the x-axis and angle CAB. The tangent of a sum of angles is given by ...
tan(α+β) = (tan(α) +tan(β))/1 -tan(α)·tan(β))
__
Of course the slope of a line is equal to the tangent of the angle it makes with the x-axis. The tangent of angle CAB is 2 (because the aspect ratio of the rectangle is 2). This means we can write ...
slope AB = ((slope AC) +2)/(1 -(slope AC)(2))
[tex]6(p+r)=\dfrac{12p+2}{1-(12p)(2)}\\\\3(p+r)(1-24p)=6p+1\qquad\text{multiply by $1-24p$}\\\\3\left(p-\dfrac{1}{144p}\right)(1-24p)=6p+1\qquad\text{use the value for r}\\\\3(144p^2-1)(1-24p)=144p(6p+1)\qquad\text{multiply by 144p}\\\\ 3456 p^3+ 144 p^2+ 24 p+1 =0\qquad\text{put in standard form}\\\\144p^2(24p+1)+(24p+1)=0\qquad\text{factor by pairs}\\\\(144p^2+1)(24p+1)=0\qquad\text{finish factoring}\\\\p=-\dfrac{1}{24}\qquad\text{only real solution}\\\\r=\dfrac{-1}{144p}=\dfrac{1}{6}[/tex]
So, now we can figure the coordinates of points A and B, and the distance between them. That distance is given by the Pythagorean theorem as ...
d^2 = (6r^2 -6p^2)^2 +(r -p)^2
d^2 = (6(1/6)^2 -6(-1/24)^2)^2 +(1/6 +1/24)^2 = 25/1024 +25/576 = 625/9216
Because of the aspect ratio of the rectangle, the area is 2/5 of this value, so we have ...
Rectangle Area = (2/5)(625/9216) = 125/4608 = a/b
Then a+b = 125 +4608 = 4733.
_____
Comment on the solution
The point of intersection of the tangent lines is a fairly messy expression, and that propagates through any distance formulas used to find rectangle side lengths. This seemed much cleaner, though maybe not so obvious at first.
∠7 and ∠8 are linear angles and m∠7 is 4 times that of m∠8. Find m∠8 please show work! i already know the answer but I need the work so that i can understand it :) (the answer is 36 degrees)
Answer:
36°
Step-by-step explanation:
Let m∠8 = x°
Therefore, m∠7 = 4x°
Since, ∠7 and ∠8 are linear angles.
Therefore,
m∠7 + m∠8= 180°
4x° + x° = 180°
5x° = 180°
x° = 180°/5
x° = 36°
x = 36
Hence,
m∠8 = 36°
A birdbath contains 1\2 liters of water. A rainy day adds a 215 milliliters, more to the birdbath. How many total milliliters of water are in the birdbath after it rained?
Answer:
715
Step-by-step explanation:
The total milliliters of water is 715 if the birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division,and multiplication by a conversion factor.
We have:
A birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.
1/2 liters = 0.5 liters
We know,
1 lter = 1000 ml
0.5 liters = 0.5×1000 = 500 ml
Total water = 215 ml + 500 ml = 715 ml
Thus. the total milliliters of water is 715 if the birdbath contains 1\2 liters of water. A rainy day adds 215 milliliters.
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Which of these options is not a quadratic equation in x?
Answer:
3x³ - 2x² + 1 = 0
Step-by-step explanation:
By definition, a quadratic equation cannot have an exponent higher than 2.
Answer:
3x³ - 2x² + 1 = 0
Step-by-step explanation:
Triangle RST is dilated to produce triangle R'S'T. Which statement describes triangle R'S'T? Its x- and y-coordinates are 2 times the corresponding coordinates of triangle RST. Its x- and y-coordinates are of the corresponding coordinates of triangle RST. Its x- and y-coordinates are the opposite of the corresponding coordinates of triangle RST. Its x- and y-coordinates are interchanged compared to the coordinates of triangle RST.
Answer:
I believe it is A; Its x- and y- coordinates are 2 times the correspopnding coordinated of the triangle RST.
Step-by-step explanation:
It just seems the most plausible. I am also taking the Quiz right now.
Answer:
Its A
Step-by-step explanation:
The Triangle is 2x bigger
Got it right on edg
PLEASE HELP AND GIVE AN ACCURATE ANSWER AND EXPLAIN. SHOW YOU WORK ON THE GRID. I WILL MARK YOU THE BRAINIEST On the same grid paper above, transform your figure ABC using the rule (2x,2y)
Answer:
The coordinates seem to be A(-2, -4), B(3, 4) and C (3, -4). The rule (2x, 2y) means that you multiply the coordinates of the points by 2 so you just have to plot the points A'(-4, -8), B'(6, 8), C'(6, -8) and then connect them.
Which graph represents the solution to the inequality?
-2.4(x-6) > 52.8
Answer:
the solution to the inequality -2.4(x-6)>52.8 is A
The given graph in option A is representing the solution of the given inequality -2.4(x-6) > 52.8.
What is a graph?A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
Given inequality is:-
-2.4( x - 6 ) > 52.8We will put the value of endpoints in the graph first and put the value of x = -16
-2.4 ( x - 6 ) > 52.8
-2.4 ( -16 - 6 ) > 52.8
-2.4 ( -22 ) > 52.8
52.8 = 52.8
Now put the value of x =-18
-2.4( -18 - 6 ) > 52.8
-2.4( -24 ) > 52.8
57.6 > 52.8
Therefore the given graph in option A is representing the solution of the given inequality -2.4(x-6) > 52.8.
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Brian buys a computer for £3100. It depreciates at a rate of 5% per year. How much will it be worth in 5 years? Give your answer to the nearest penny where appropriate.
Answer: 2398.72
Step-by-step explanation:
Simply do 3100*0.95*0.95*0.95*0.95*0.95 ≈ 2398.72
Hope it helps <3
Answer:
$2398.72( I cannot use your dollar sign).
Step-by-step explanation:
If it decreases by 5% every year, then 3100*0.95=2945. Then 2945*0.95=2797.75. Then the 3rd year is 2797.75*0.95=2657.8625. Then 2,657.8625*0.95=2524.96938. Lastly, in the fifth year, it is 2524.96938*0.95=2398.72091. Then, I round off to the nearest penny(hundredths). The answer I get is $2398.72!
A pair of dice was rolled many times
and the results appear below. Based
upon these results, what is the
experimental probability of rolling a 7?
Outcome
12
2 3 4 5 6 7 8 9 10 11
3 6 8 11 14 16 15 12 9 5 1
Frequency
The percent probability is = [? ]%
Round to the nearest percent.
Enter
Answer: 7/24
Step-by-step explanation:
Answer:
16%
Step-by-step explanation:
Find the total number of throws
3 + 5 + 8+ 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1
When you add these together, you get 100
Find the number of 7s that were thrown
The number of 7s thrown was 16
Find the probability that a 7 was thrown.
P(7) = 16/100 = 0.16
Find the %.
0.16 * 100 = 16%
Plz help me out with these problems.
There are 300 students in the seventh grade at Lincoln Middle School. When the students voted on new school colors, 65% of the seventh graders voted for the combination of blue and silver. How many seventh graders voted for the blue and silver color combination?
Answer:
195 students voted for the blue and silver color combination.
Step-by-step explanation:
First, you have to convert 65% to a decimal ( You should get 0.65 ).
Next, you multiply 300 by the decimal ( 0.65 )
You should get 195, so that's how many people voted for the blue and silver color combination.
Answer:
195
Step-by-step explanation:
Write an equation and solve.
Eleven more than 4 times a number is 39.
The equation is _____ The solution is _____
(Type an equation using x as the variable.)
Answer:
4x+11 = 39
x = 7
Step-by-step explanation:
4 times a number
4x
Eleven more than
4x+11
is means equals
4x+11 = 39
Subtract 11 from each side
4x+11-11 = 39-11
4x = 28
Divide each side by 4
4x/4 = 28/4
x=7
fgjxgfjvcskutfysfbisylvgkai. is this right that i did???????????????????????????????? dont look it up
Answer: NO. He had an increase of 25%
Step-by-step explanation:
To find the percentage increase, use the following formula where New (this week) = 25 and Original (last week) = 20.
[tex]\% Change=\dfrac{\text{New - Original}}{\text{Original}}\\\\\\.\qquad \qquad =\dfrac{25-20}{20}\\\\\\.\qquad \qquad =\dfrac{5}{20}\\\\\\.\qquad \qquad =\dfrac{1}{4}\qquad \rightarrow \qquad =0.25[/tex]
Convert the decimal into percentage by moving the decimal point two places to the right. 0.25 = 25%
Evan spent 25% more time this week than last week.
It can also be stated that this week Evan did 125% of homework compared to last week.
If Even spent 125% more than last week, he would have spent 100% (20 hours) + 25% (4 hours) = 24 hours.
(x2 − 3x + 8) − (7x2 − 2x − 1)
Answer:
- 6x² - x + 9
Step-by-step explanation:
Given
(x² - 3x + 8) - (7x² - 2x - 1)
Distribute the first parenthesis by 1 and the second by - 1
= x² - 3x + 8 - 7x² + 2x + 1 ← collect like terms
= - 6x² - x + 9
Can you create 2 dividing decimal questions where the answer would be 14?
Answer:
2.24/0.16
736.434 × 0.019011
Step-by-step explanation:
The above questions have a solution of 14.
Find n. Question below.
Answer:
B. 5
Step-by-step explanation:
[tex] \tan(30 ) = x \div 5 \sqrt{3} = \tan(30) \times 5 \sqrt{3} = 5[/tex]
Please someone help me on these questions
Hey there! :)
Answer:
a) 24 cm²
b) 40.04 cm²
--------------------
Use the formula A = l × w to solve for each rectangle's area:
a)
8 × 3 = 24 cm².
b)
5.2 × 7.7 = 40.04 cm²
Answer:
a) 24
b) 40.04
Step-by-step explanation:
a) Area of a rectangle: length x width
length = 8
width = 3
Plug these values into the equation above:
8 x 3 = 24
b) Same steps as above except with different values for length and width
5.2 x 7.7 = 40.04
If a cone is 5 meters tall and has a radius of 3 meters, What is its volume?
15π m3
60π m3
45π m3
30π m3
Answer: 15π m³
Step-by-step explanation:
Volume of a cone = 1/3πr²h
where,
r = radius = 3 meters
h = height = 5 meters
Volume = 1/3πr²h
Volume = 1/3 × π × 3² × 5
Volume = 1/3 × π × 9 × 5
Volume = 1/3 × π × 45
Volume = 45π/3
Volume = 15π m³
Anthony recorded the heights and weights of the 15 boys in his class. Then he drew the scatter diagram shown below using the information.
Answer:
a)(140,57)
b)positive correlation
c)155cm (Give or take)
Step-by-step explanation:
a) find the outlier which doesn't follow the pattern as the rest
find the coordinates.(140,57)
b)all of the results follow a positive pattern when weight increases so does the height.
c)draw a line of best fit and draw a line from 45kg out to that line and follow I'd down towards weight to find an estimated amount.
hope this helps
The outlier point is (140,57), the correlation type is a positive correlation and the estimated height of the student is 154 cm
The outlierThis is the point that is far from other points in the scatter plot.
From the given graph, the point (140,57) is far from others.
Hence, the outlier point is (140,57)
The correlation typeFrom the graph, we can see that the points increase towards the right.
This represents a positive correlation
Hence, the correlation type is a positive correlation
Estimated height of a student
The weight is given as:
Weight = 45 kg
From the graph, the closest points to y = 45 are
x = 148, 153, 156 and 158
The mean of these values is 154.
Hence, the estimated height of the student is 154 cm
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Help please!!!!!!!!!!!!!!
Answer:
200=4hrs=10 of the machines
200=4hrs
300=xhrs
Cross multiply
200×xhrs = 300×4hrs
X=1200/200
X= 6 hours