Answer:
d.11/12
Step-by-step explanation:
1/4x3=3/12
2/3x4=8/12
3/12+8/12=11/12
Solve. 1/2(-4 — 2n) = -17 Please explain it to me if you can I dont really understand how to do these types of problems so it would be much appreciated!
Answer:
n = 15Step-by-step explanation:
[tex] \frac{1}{2} ( - 4 - 2n) = - 17[/tex]
First of all try to see if there are fractions in the equation .
If so try to find the LCM of the fractions and multiply the equation through by the LCM.
If there is only one fraction multiply through by the denominator of the fraction to eliminate the fraction
If there are brackets try to solve the terms in the bracket first
For the above equation there is only one fraction which is 1/2 so we multiply through by the denominator that's 2
That's
[tex]2 \times \frac{1}{2} ( - 4 - 2n) = - 17 \times 2[/tex]
[tex] - 4 - 2n = - 34[/tex]
Try to make the unknown variable the subject
That's
[tex] - 2n = - 34 + 4[/tex]
Simplify
[tex] - 2n = - 30[/tex]
Divide both sides by -2 to make n stand alone
That's
[tex] \frac{ - 2n}{ - 2} = \frac{ - 30}{ - 2} [/tex]
We have the final answer as
n = 15Hope this helps you
Please if anyone could answer this question. Me and my friends tried but only got headache at last. Kinda stuck in this question now.
Answer:
3/4 of the whole day(24 hours)
Step-by-step explanation:
1/3 of 24 hours equal to 8 hours. He slept for 8 hours. So his waking time equals 24-8=16
5/8 of his waking time (16 hours ) equal to 10 hours.
now total time spent in his house 10 + 8 = 18
in fraction 18/24 = 3/4
He slept 1/3 of the day, and is awake 2/3 of the day (note that 1/3 + 2/3 = 3/3 = 1)
2/3 of 5/8 = (2/3)*(5/8) = (2*5)/(3*8) = 10/24 = 5/12 of the day is spent at home when he is awake
Add 1/3 and 5/12 to get
1/3 + 5/12 = 4/12 + 5/12 = (4+5)/12 = 9/12 = 3/4
He spent 3/4 of a whole day at home (equivalent to 18 hours)
Answer: 3/4A lab technician is dividing a cell that has a diameter of 4.32×10−4 4 . 32 × 10 - 4 millimeters. Each of the new cells has a diameter measuring exactly one half of the diameter of the original cell. Which is the diameter of a new cel
Answer:
Bottom right option
Step-by-step explanation:
To find this, we can calculate:
1/2 * 4.32 * 10⁻⁴
= (1/2 * 4.32) * 10⁻⁴
= 2.16 * 10⁻⁴
The diameter of a new cell is 2.16×10−⁴millimeters
First step is to calculate 4.32×10−⁴ to the original numbers
4.32×10−⁴ =0.000432
Second step is to determine the diameter of a new cell
New cell diameter=0.000432×1/2
New cell diameter=0.000216
New cell diameter=2.16×10−⁴millimeters
Inconclusion The diameter of a new cell is 2.16×10−⁴millimeters
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3 to the power of 5 equals 243. Explain how to use that fact to quicky evaluate 3 to the power of 6.
Answer:
3^6 = 729
Step-by-step explanation:
3 to the power of 5 equals 243. Explain how to use that fact to quickly evaluate 3 to the power of 6
Symbolically, we have:
3^5 = 243 (given)
Multiplying both sides by 3, we get:
3^6 = 3(243)
If you want to take this further, multiply 3(243): 3^6 = 729
The value of [tex]3^6[/tex] is 729.
Important information:
[tex]3^5=243[/tex]Exponents:We need to find the value of [tex]3^6[/tex].
Using the rules of exponents, we get
[tex]3^6=3^{5+1}[/tex]
[tex]3^6=3^{5}*3^{1}[/tex] [tex][\because a^{m+n}=a^ma^n][/tex]
[tex]3^6=243*3[/tex]
[tex]3^6=729[/tex]
Therefore, the value of [tex]3^6[/tex] is 729.
Find out more about 'Exponents' here:
https://brainly.com/question/14404700
Complete each congruency statement and name the rule used. If you cannot show the triangles are congruent from the given information, leave the triangle's name blank and write CNBD for "Cannot be determined" in place of the rule. ∆ANT ≅ ∆_____ by _____
Answer:
The correct answer is;
ΔANT ≅ ΔFLE by the SIde-Side-Side (SSS) rule of congruency
Step-by-step explanation:
The given information are;
Segment TN is congruent ts segment EL
Segment TA is congruent ts segment EF
Segment AN is congruent ts segment FL
Therefore, triangle ΔANT is congruent to ΔFLE by the Side-Side-Side (SSS) rule of congruency
One of the rule used to serve as proof that two or more triangles are congruent, is the Side-Side-Side (SSS) rule of congruency. The Side-Side-Side rule of congruency states that if the dimensions of the three sides of one triangle are equal to the dimensions of the three sides of another triangle, the two triangles are congruent.
Therefore, the correct option is ΔANT ≅ ΔFLE by the Side-Side-Side (SSS) rule of congruency
Answer: cannot be determined
Step-by-step explanation:
there isnt a rule SSS
A group of seventh graders and a group of teachers at a local middle school were asked how many siblings they each have. The dot plots below show the results. Students A dot plot titled Students. A number line going from 0 to 9 labeled number of siblings. There are 2 dots above 0, 4 above 1, 7 above 2, 5 above 3, 2 above 4, and 0 above 5, 6, 7, 8, and 9. Teachers A dot plot titled Teachers. A number line going from 0 to 9 labeled Number of siblings. There is 1 dot above 0, 3 dots above 1, 2 above 2, 4 above 3, 5 above 4, 3 above 5, 1 above 6, 0 above 7, 1 above 8, and 0 above 9. When comparing the shape of the two sets of data, what conclusion can someone draw? The students tend to have fewer siblings than the teachers. The teachers tend to have fewer siblings than the students. Both the students and the teachers have a wide range of siblings. Both sets of data have the same shape. the answer is- a. The students tend to have fewer siblings than the teachers.
Answer:
A. The students tend to have fewer siblings than the teachers.
Step-by-step explanation:
First we need to draw the dot plots correctly. If you count both sides they have 20 each.
Now, clearly none have fewer nobody here yet has more or less but going on to the next step.
Multiply exactly the number of siblings times how many people chose that many siblings. Ex: 2 (siblings) times 7 (people who has 2 siblings) = 14. And so on.
On the Student A, we get a total of 41 people having sibling, if you count the 0's then there were a total of 43 people. But now on the Teacher's A Dot Plot, we have a total of 68 people, if you include the 0 then we have a total of 69.
So the answer is A. The students tend to have fewer siblings than the teachers.
Answer:
The sum is A
Step-by-step explanation:
Just ma duty to help the community
Find the median of the data in the dot plot below.
Answer:
it's 40
Step-by-step explanation:
because, there's five numbers on each side of 40
Answer:
Step-by-step explanation:40
Plz help I’ll mark brainliest
Answer:
x = 22.62°Step-by-step explanation:
To find the measure of angle x we use cosine
[tex] \cos( \alpha ) = \frac{adjacent}{hypotenuse} [/tex]
From the question
PO is the hypotenuse = 13
The adjacent is 12
Substitute the values into the above formula
That's
[tex] \cos(x) = \frac{12}{13} [/tex]
[tex]x = \cos^{ - 1} ( \frac{12}{13} ) [/tex]
x = 22.6198
We have the final answer as
x = 22.62° to the nearest hundredthHope this helps you
Answer:
Since the value of all angles within a triangle must equal 180 degrees, if you know at least two angles, you can subtract them from 180 to find the missing third angle. If you are working with equilateral triangles, divide 180 by three to find the value of X. All of the angles of an equilateral triangle are equal.
Step-by-step explanation:
can somewon help me plz can somewon help me
Hey there! I'm happy to help!
Let's look at our diameters.
[tex]1*10^2^1\\5*10^2^2[/tex]
We want to see how many times greater the diameter of the IC 1101 is than the Milky Way. So, we will divide it's diameter by the diameter of the Milky Way.
[tex]\frac{5*10^2^2}{1*10^2^1} \\[/tex]
We divide the numbers without exponents, giving us 5. Then, we divide the 10s with exponents. When dividing exponents, you subtract the numbers in the exponent to get your result. For example, x³÷x²=x
[tex]\frac{5*10^2^2}{1*10^2^1} = 5*10=50[/tex]
Therefore, your answer is 50.
Have a wonderful day! :D
Many school districts have a summer vacation that is 72 days long. What percent of the entire year is summer vacation?
Answer:
20%
Step-by-step explanation:
How would you describe the difference between the graphs of f(x) = 2x2 and
g(x) = -2x2 ?
A. g(x) is a reflection of f(x) over the line y=-1.
B. g(x) is a reflection of f(x) over the line y = x.
C. g(x) is a reflection of f(x) over the yaxis.
D. g(x) is a reflection of f(x) over the x-axis.
Answer:
D. g(x) is a reflection of f(x) over the x-axis.
Step-by-step explanation:
Given
f(x) = 2x²
g(x) = -2x²
Required
Determine the difference between f(x) and g(x)
Start by expanding g(x)
g(x) = -2x²
g(x) = -1 * 2x²
Substitute 2x² for f(x)
g(x) = -1 * f(x)
g(x) = -f(x)
Using the format (x,y):
Take for instance x = 2
f(x) = 2x² = 2 * 2² = 2 * 4 = 8
This means (x,y) = (2,8)
g(x) = -f(x)= -8
This means that (2,-8)
Notice that only the y value changed in both cases from 8 to -8
From the above expression, g(x) = -f(x) and illustration of when x = 2
This implies that g(x) is a reflection of f(x) along the x axis..
From the list of given options, the correct answer is D.
PLEASE HELP WILL MARK BRAINLY
Answer:
460256
Step-by-step explanation:
35900 books equal to 7.8% of all copies sold
Total number of books:
7.8% = 35900100% = ?35900*100/7.8 ≈ 460256Answer is 460256 in whole numbers
complete the table of values for y=-x^2+2x+1
Answer:
-1=-2
4=-7
Step-by-step explanation:
for x=-1
y=(-1^2)+(2*-1)+1
y=-1-2+1
y=-2
for x=1
y= (-1^2)+(2*1)+1
y= -1+2+1
y=2
for x=4
y=(-4^2)+(2*4)+1
y=-16+8+1
y=-7
Interpret the average rate of change of –14/3 that you found previously. What does this mean in terms of the waterslide, from x = 0 to x = 15?
Answer:
Solution: The average rate of change of represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.
Explanation:
The rate of change shows the change in first variable with respect to change in second variable.
If the rate of chang is given by it means second variable is decrease by 14 if the first variable increase by 3.
In the context of water slide it shows that the vertical height of slide is decreased by 14 units as we cover the distance of 3 units.
If we cover the distance from x = 0 to x = 15, it means we cover the distance of 15 units.
Let the vertical height of the slide covered from x = 0 to x =15 be y.
It means when distance increased by 15 units the height of slide decreased by y units.
So rate of change = .
It is given that the rate of change is .
Equate both equations.
Therefore, the average rate of change of represents that the second variable is decrease by 14 if the first variable increase by 3. In terms of water slide the vertical height of slide is decreased at the rate of 4.66 per unit. The vertical height of the slide decrease 70 units from x = 0 to x = 15.
A fish fank was 3/4 full, and then 1/3 of the water leaked out,
5) How full was the fish tank after the water leaked out?
6) If there was 20 gallons of water left in the fish tank after the water leaked out,
how many gallons of water does the fish tank hold when it is full?
Answer:
5) It was 5/12 of the way full
6) It holds 48 gallons.
Step-by-step explanation:
For #5, you can simply find the lowest common denominator, which was 12, so you would multiply 3/4 by 3/3 and 1/3 by 4/4, giving you 9/12 and 4/12. Next you would subtract 4 from 9 and get the answer 5/12.
For #6 you can set up the problem as a ratio, 5/12 and 20/x, and then cross multiply, getting the equation 5x = 240. Then divide by 5 and you get the answer 48.
Hope this helps!!
Answer:
5/12 When the water leaked out.
48 Gallons when full.
Hope this Helps!
Tyler needs to get the windows in his new home cleaned. The cleaning company needs to know the total number of window panes before it can tell him how much the job will cost. There are 12 windows, each with four window panes across and four window panes down. Tyler can find the total number of window panes by multiplying the number of windows by the number of panes in each window. The total number of window panes is an expression with a whole-number exponent. Write an expression with exponents to find the total number of panes in 12 windows.
Answer:
I believe it's (4^2)*12
Step-by-step explanation:
To find the correct amount of the window panes there are, we have to find how much window pains are in each of the window's. So we have a 4 by 4 so that's 16. Then we have to do 16*12 to get the total amount of panes since Panes Per Window multiplied by Number Of Windows equals Total Number Of Panes
Hope this helps! ∪ω∪
Find the value of x.
Answer:
27
Step-by-step explanation:
By the theorem of intersecting secant and tangent out side of a circle, we have:
[tex] {60}^{2} = 48 \times (48 + x) \\ 3600 = 48 \times (48 + x) \\ \frac{3600}{48} = 48 + x \\ 75 = 48 + x \\ 75 - 48 = x \\ x = 27 \\ [/tex]
The health food store that you manage employs 7 clerks. Individual hourly wages are $8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50. If each employee has 2 weeks unpaid vacation and works 8 hours a day , 5 days per week and is paid for all holidays , what the total annual payroll for the clerks ?
Answer:
16,848+17,160+17,576+18,200+18,720+19,240+21,840=
129,584
Step-by-step explanation:
[tex]$8.10, $8.25, $8.45, $8.75, $9.00, $9.25, and $10.50\\[/tex]
Annually= Yearly, A year has 365 days.
They work 40 hours a week, 8*5=40.
There are aprox, 10 holidays in a year. (You can change this in your work)
They have 2 weeks unpaid vacation, 14 days.
There are aprox, 52 weeks in a year. (You can change this in your work)
52 weeks - 2 weeks of unpaid vacation= 50 weeks.
Now Let's calculate the weekly income, for
$8.10*40=$324 per week.
$8.25*40=$330 per week.
$8.45*40=$338 per week.
$8.75*40=$350 per week.
$9.00*40=$360 per week.
$9.25*40=$370 per week.
$10.50*40=$420 per week.
Now Let's calculate the annually income, for each clerk.
324*50=16,200 + 648=16,848
330*50=16,500 + 660=17,160
338*50=16,900 + 676=17,576
350*50=17,500 + 700=18,200
360*50=18,000 + 720=18,720
370*50=18,500 + 740=19,240
420*50=21,000 + 840=21,840
Now the total annual payroll=
16,848+17,160+17,576+18,200+18,720+19,240+21,840=
129,584
Halfway through the second quarter, what fructional part of the game is left?
Answer:
5/8 of the game
Step-by-step explanation:
Half of a quarter is 1/2, and 1 quarter is already done, therefore 1/2, or to simplify it 1/8, plus 2/8, would be 3/8. Now, a quarter is 1/4th of something therefore there must be 4 quarters in a total.so that means that there are 8 halfves in total , so 8-3=5, so the fractional parts of the game left is 5/8.
The part of the game i.e. left should be [tex]5\div 8[/tex]
Calculation of the part of the game:Since the half of the quarter is one-half. And, the one quarter is done so one-half is remaining. That means
[tex]= 1\div 8 + 1\\\= 2\div 8[/tex]
Since one-fourth should be of something also there are total 4 quarters that means there are 8 halves.
So, remaining it should be
= 8 -3
= 5
Hence, The part of the game i.e. left should be [tex]5\div 8[/tex]
Learn more about game here: https://brainly.com/question/1415899
Please help me on this question
Answer:
DE = 13.4 cm (to 1 decimal place)
Step-by-step explanation:
Given: ABCD is a square
BC = AC = 12 cm (opposite sides of a square are congruent)
E is midpoint of BC (given)
BE = EC = 12/2 = 6 cm
CD = AB = 12 cm (opposite sides of a square are congruent)
angle ECD is a right angle (interior angles of a square are 90 deg.)
Consider right triangle ECD
DE = sqrt(EC^2+CD^2) ............. pythagorean theorem
= sqrt(6^2+12^2)
= sqrt ( 36+144 )
= sqrt (180)
= 2 sqrt(45)
= 13.416 (to three dec. places)
find the mean, median, mode, and midrange. Then decide which you think is the most meaningful measure of average for that data set. For larger data sets, you should consider using technology. The number of beds at all licensed hospital in Hillsborough County, Florida, in 2015: 98 120 493 206 73 102 183 870 76 60 60 112 147 1,018 201
Answer:
mean = 254.6
median = 120
mode = 60
midrange = 958
For average data sets i prefer by finding the mean
Step-by-step explanation:
mean :
(98+120+493+206+73+102+183+870+76+60+60+112+147+1018+201) ÷ 15 = 254.6
median : 60 60 73 76 98 102 112 120 147 183 201 206 493 870 1018
find the middle number
= 120
mode :
number that is more than one
= 60
midrange :
highest number - smallest number
= 1018 - 60
= 958
Among the licensed drivers in the same age group, what is the probability that
a 57-year-old was involved in an accident? Use the table below.
Drivers in
Age group accidents
(thousands)
19 and under 2150
20-24
2620
25-34 3740
35-44 3220
45-54 3030
55-64
1990
65-74
790
75 and over 560
Drivers in
fatal
accidents
5,400
8.700
10.700
9600
9400
6500
3800
4300
Licensed
Drivers
(thousands)
10,034
17.173
35,712
40,322
40,937
30,355
17,246
13,321
Answer:
The probability that a 57-year-old was involved in an accident is 0.0656.
Step-by-step explanation:
We are given the data for the drivers involved in an accident of different age groups.
And we have to find the probability that a 57-year-old was involved in an accident.
From the table given to us, it clear that a 57-year-old driver will lie in the age group of 55 - 64.
Now, the number of licensed drivers in the age group of 55 - 64 are 30,355 (in thousands).
The point to be noted here is that the data given of drivers in accidents (thousands) will include the data of drivers in fatal accidents.
So, the number of 57-year-old drivers involved in accidents are 1990 (in thousands).
The probability that a 57-year-old was involved in an accident is given by;
= [tex]\frac{1990}{30,355}[/tex]
= [tex]\frac{398}{6071}[/tex] = 0.0656 or 6.56%
Which of the following are exterior angles? Check all that apply.
6
52
3
O A. 21
O B. 25
O c. 24
O D. 23
E. 22
O F. 26
Using it's concept, it is found that the exterior angles of the triangle are given as follows:
B. <5
C. <4
What are the exterior angles of a triangle?The exterior angles of a triangle are the angles that are outside the triangle.
In this problem, the angles are 4 and 5, which means that options B and C are correct.
More can be learned about the exterior angles of a triangle at https://brainly.com/question/2546141
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8. Mark chose a number between 0.437 and 0.436 and multiplied it by 4. Then, he
subtracted 20 from this product. Next, he took three-fourths of this difference and got y.
Finally, he took the original number, added twelve to it, tripled it, and subtracted it from y.
What was his final answer?
A. -56
B. -51
C. 16
D. 21
E. Not enough information
Answer:
y=¾(4x-20)
y=3x-15
Final answer= y - 3(x+12)
=y - 3x-36
=3x-15-3x-36
= -51
Answer:
The answer is -51
Step-by-step explanation:
Help
Find the lateral area of this cone.
Round to the nearest tenth.
Answer:
233.5 in²
Step-by-step explanation:
First we have to find the slant height.
5²+14²=c²
25+196=c²
221=c²
c=14.866
Now we can find the lateral area.
[tex]\pi[/tex]rl
[tex]\pi[/tex](5)(14.866)
=233.51566
To the nearest tenth=
233.5 in²
in the figure above, pqrs is a parallelogram. What is the value of x?
Answer:
x = 162 degrees.
Step-by-step explanation:
m < RSP = 180 - 72
= 106 degrees (adjacent angles)
m < Q = m < RSP ( Opposite angles in a parallelogram are equal).
So m < Q = 180 degrees.
m < x = 360 - 90 - 108
= 360 - 198
= 162 degrees.
Using the appropriate angle theorems, the value of the angle, x in the parallelogram would be 162°
At angle S :
S + 72 = 180 (sum of straight line angles)
S = 180° - 72°
S = 108°
S = Q (opposite angles of a parallelogram)
Q = 108°
Hence,
Q + x + right angle = 360° (sum of angles at a point)108° + x + 90 = 360
x = 360 - (108 + 90)
x = 162°
Hence, the value of x is 162°
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Plzzzzz help ASAP!!!!!! Solve: x/32=15/20
Answer:
[tex]\boxed{x=24}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{x}{32} =\frac{15}{20}[/tex]
[tex]\sf Cross \ multiply.[/tex]
[tex]20 \times x=32 \times 15[/tex]
[tex]20x=480[/tex]
[tex]\sf Divide \ both \ sides \ by \ 20.[/tex]
[tex]\displaystyle \frac{20x}{20} =\frac{480}{20}[/tex]
[tex]x=24[/tex]
Answer: x = 24
Step-by-step explanation: To solve for x in the given proportion, we use the means-extremes property.
The product of the extremes, (x)(20),
equals the product of the means, (32)(15).
So we have (x)(20) or 20x equals (32)(15) or 480.
So we have 20x = 480.
Dividing both sides by 20, x = 24.
To make a project, you need a rectangular piece of fabric
3 ft wide and 4 ft long. How many square feet of fabric do
you need?
I
Answer:
12 ft²
Step-by-step explanation:
area = length * width
area = 4 ft * 3 ft
area = 12 ft²
A car dealer just took delivery on forty new cars. He plans to put four of these cars on display at the front of the lot. In how many ways can the dealer combine four of the forty cars if order is not important? A.1,096,680 B.45,695 C.91,390 D.2,193,360
Answer:
B
Step-by-step explanation:
WILL GIVE BRAINLY!!!! describe the types of correlation between two variables on a graph
Negative Correlation - These variables point towards the left making them negative.
Positive Correlation - These variables point towards the right making them positive.
No Correlation - These variables have the same x coordinates or same y coordinates.
Hope that helped!!! k
