Answer:
17=p+8
Step-by-step explanation:
Start by setting the equation equal to 17 on either the right or left side. Now, on the opposite side of the equation read out what the question is saying.
"8 more than a number (p)" the variable would be p, and 8 more than p is 17. Now that you have that in mind, write 17 is equal to p plus 8.
17=p+8
If the question asks you to solve this equation for p, subtract 8 from both sides to get 9 for p.
I hope this is easy to understand.
There are 3 numbers: 5,
The mean of the two smallest numbers is 4 and the mean of all three numbers is 9.
What is the mean of the two largest numbers?
solution
Mean of two smallest number (3+5 =8/2) =4
Mean of all the three (3+5+19 =27) 27/3 = 9
so the mean of two largest number is 19+5 = 24 /2 = 12
Final Answer
The mean of two largest Number is 12
Find the greatest common factor of 12 and 44
Answer:
The greatest common factor of 12 and 44 is 4.
The greatest common factor of 12 and 44 is 2 obtained by prime factorization.
What are LCM and HCF?The LCM of two or more numbers is the least common multiple of them.
The HCF of two or than two given numbers are the highest number that divides them completely.
We also know that distributive property states a(b + c) = ab + ac.
Given, Are two numbers 12 and 44.
Now, Writing them as a product of prime factors,
12 = 2 × 2 × 5.
44 = 2 × 2 × 11.
So, The only common factor is 2, Hence the HCF of 12 and 44 is 2.
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A math teacher needs to choose 6 students from class of 30 to go to the library. How many different groups can she select?
Possible answers
A 180
B 427,518,000
C 593,775
D none of the choices are correct
To determine the number of different ways a math teacher can select 6 students from a class of 30, we use the combination formula C(30, 6) = 30! / (6! * (30 - 6)!), which gives us 593,775 different possibilities. Therefore, the correct answer is C, 593,775.
The math teacher needs to select 6 students from a class of 30 students to go to the library, which is a combinatorial problem in mathematics. The number of ways to choose k students from a group of n students without regard to the order is given by the combination formula:
C(n, k) = n! / (k! * (n - k)!), where n! is the factorial of n and equals n multiplied by all positive integers less than n, and k is the number of students chosen.
Applying the formula for our situation:
C(30, 6) = 30! / (6! * (30 - 6)!)
= (30 * 29 * 28 * 27 * 26 * 25) / (6 * 5 * 4 * 3 * 2 * 1)
= 593,775
So there are 593,775 different ways the teacher can select 6 students from a class of 30. Hence, the correct answer is C, 593,775.
A Football game begins at 11:32.the game kast 3 hours 16 minutes¿when does the game end?
The football game would end at 2:48
11:32 + 3 hours = 2:32
2:32 + 16 minutes = 2:48
Hope this helps :)
Twelve less than a number is the
same as 6, decreased by 8 times
the number. Find the number.
Answer:
The number is 2 . -angie:) . pls mark me brainliest!
Step-by-step explanation:
Let x be the number.
Equation is
x
−
12
=
6
−
8
x
x
+
8
x
=
6
+
12
9
x
=
18
x
=
2
The length of a rectangle is three times the width. the parameter is 240 inches. find the length and width
Answer:
L = 90 inches
W = 30 inches
Step-by-step explanation:
Give the length of a rectangle L is three times the width
That’s
L = 3w
And perimeter = 240 inches
Recall that the perimeter of a rectangle is given by
P = 2(L + W)
L = 3w
We now have two equations
Now substitute 3w for L in The above formula and 240 for P.
We have
240 = 2(3w + w)
Distribute 2 into (3w + w)
240 = 2 x 3w + 2 x w
240 = 6w + 2w
240 = 8w
Divide both sides by 8
240/8 = 8w/8
30 = w
W = 30inches
Now substitute 30 for w into either of the above equations to get L .
Using
L = 3w
L = 3 x 30
L = 90 inches
L = 90 inches and
W = 30 inches
Tim installs 50 square feet of his floor in 45 minutes. At this rate, how long does it
take him to install 495 square feet?
Answer:
9 hrs and 10 mins
Step-by-step explanation:
We can convert this into a proportion. 50/45 = x/495. Cross-multiply to get 45x = 50*495. Divide both sides by 45 to get x = 50*11 = 550 minutes or 9 hrs and 10 mins
Answer: 445.5 minutes
Step-by-step explanation:
Hi, to answer this we have to apply a proportion:
Proportion: square feet / time (minutes)
Tim installs 50 square feet of his floor in 45 minutes: 50/45
For 495 square feet: 495/x
Where x is the time it takes Tim to install 495 square feet of his floor.
50ft/45min = 495ft/x min
Solving for x
x = 495 / (50/45)
x= 445.5 minutes
6 Which expression can be classified as linear?
(A) x2+ x-4 (6) 3x2 - 1
(C) 6x - (D)+7
Answer:
Step-by-step explanation:
A linear expression has the highest power of the variable to 1, i.e ax+b
So, in this case the questions is not well presented
But looking at options C.
6x
This is linear expression when compare to ax+b, but b=0
Looking at option D
7
This is also a constant and it is linear.
But the best answer is C because it is an expression that has variable x and it is function of x.
Help me find the value of these variables please
Check the picture below.
so, whenever we have a line coming from a vertex in a right triangle, like in this case, and drops to a perpendicular line, we end up with 3 similar triangles, as you can see in the picture, thus we can use proportions to get the sides, we'll use those proportions in the picture in blue.
[tex]\bf \stackrel{large}{\cfrac{14}{16}}=\stackrel{medium}{\cfrac{c}{14}}\implies \cfrac{7}{8}=\cfrac{c}{14}\implies 98=8c\implies \cfrac{98}{8}=c\implies \boxed{\cfrac{49}{4}=c} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{we know that}}{c+d=16}\implies d = 16 -c\implies d = 16-\cfrac{49}{4}\implies \boxed{d = \cfrac{15}{4}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{small}{medium}\qquad \qquad \cfrac{e}{c}=\cfrac{d}{e}\implies e^2=cd\implies e=\sqrt{cd}\implies e = \sqrt{\cfrac{49}{4}\cdot \cfrac{15}{4}}[/tex]
[tex]\bf e = \sqrt{\cfrac{660}{16}}\implies e = \sqrt{\cfrac{4\cdot 165}{16}}\implies e = \sqrt{\cfrac{165}{4}} \\\\\\ e = \cfrac{\sqrt{165}}{\sqrt{4}}\implies \boxed{e = \cfrac{\sqrt{165}}{2}}[/tex]
A tennis club has 8 tennis ball launchers to use for lessons. Each launcher holds 27 tennis balls. If a can of tennis balls contains 3 balls, how many cans of tennis balls will be needed to fill 3/4 of the launchers one time?
Answer:
54 cans
Step-by-step explanation:
8 Tennis ball launchers.
Each hold 27 balls.
One can = 3 balls.
We have 27 * 8 total balls which is equivalent to 216.
We want to find 3/4 of the total which is 216 * 0.75.
This is then = to 162
Since one can holds 3 balls.
162/3 = 54 cans.
Therefore, to fill the total of 3/4 of launchers within a lesson, 54 cans of tennis balls will be needed.
Answer:
Number of cans is 6.75
Step-by-step explanation:
According to the question,
One launcher holds 27 tennis balls
3/4 launcher hold y tennis balls
Cross multiply
Y= 3/4×27
Y= 81/4
Y= 20.25 tennis balls
To determine the number of cans
One can holds 3 tennis balls
Z can holds 20.25 tennis balls
Cross multiply
3z= 20.25
Z= 20.25/3
Z=6.75 cans
if someone could answer this i will give brainliest cuz no one likes to help me on this website anymore
This is an isoscele trapezoid, because the 2 sides are equal and the bases are parallel.
This means:
5x+45=20x
y=z
5x+45=20x, 45=15x, x=3
The sim of all angles is 360⁰.
2×20x+y+z=2×60+2y=360
60+y=280, y=z=120⁰
Answer: x=3, y=z=120⁰
well, as we can see from the tickmarks on the slanted sides, they're equal, meaning is an isosceles trapezoid, meaning the angles up above are equal to each other, and the angles down below are also equal to each other, namely.
z = y and 5x + 45 = 20x.
[tex]\bf 5x+45=20x\implies 45=15x\implies \cfrac{45}{15}=x\implies \boxed{3=x} \\\\\\ 5x+45\implies 5(3)+45\implies \blacktriangleright 60 \blacktriangleleft\impliedby 20x[/tex]
well, the sum of all interior angles in a polygon is
180(n - 2), where n = sides
this trapezoid has 4 sides, so the sum of all its interior angles is 180(4 - 2) = 360°.
well, we know that the angles above are 60° each, so that's 120° for those, and 360° - 120° = 240°, so "z" and "y" will evenly split 240°, namely ∡z = ∡y = 120°.
What is the exact volume of the cylinder?
Enter your answer, in terms of Pi , in the box.
__cm^3
The exact volume of the cylinder is 375π cm³.
Solution:
Given image is a cylinder.
Radius of the cylinder = 5 cm
Height of the cylinder = 15 cm
The value of π = 3.14
Volume of the cylinder = πr²h
= π × 5² × 15
= π × 25 × 15
= π × 375
Volume of the cylinder = 375 π cm³
The exact volume of the cylinder is 375π cm³.
The values of x and y vary directly
and one pair of values are given.
Write an equation that relates x
and y. Simplify completely.
x = -4, y = 6
y=
[?]
y =
1
Answer:
y = - [tex]\frac{3}{2}[/tex] x
Step-by-step explanation:
Given that x and y vary directly then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition x = - 4, y = 6, thus
k = [tex]\frac{y}{x}[/tex] = [tex]\frac{6}{-4}[/tex] = - [tex]\frac{3}{2}[/tex]
y = - [tex]\frac{3}{2}[/tex] x ← equation of variation
You buy a printer for $79.80 and a scanner for $67.10; you receive a $11 mail-in rebate for the printer and a $17 mail- in rebate for the scanner. a) If each envelope costs $0.15 and each stamp costs $0.37, calculate the total cost after the rebates. b) How much is the actual rebate after your expenses
The total cost of the printer and scanner after the rebates is $117.86, and the actual rebate after expenses is $26.96.
Explanation:For part a, first, add up the cost of the printer and scanner: $79.80 (printer) + $67.10 (scanner) = $146.90 (total original cost). Then calculate the mail-in rebates: $11 (printer rebate) + $17 (scanner rebate) = $28 (total rebates). However, you incur some costs when mailing these rebates. You need one envelope and one stamp for each rebate so multiplying the price of the envelope and the stamp by 2 gives us 0.15*2 + 0.37*2= $1.04. We subtract the $28 (rebate) and this $1.04 (mail cost) from the original cost ($146.90), giving us a final cost of $146.90 - $28 - $1.04 = $117.86.
For part b, the actual rebate after your expenses is the total value of the rebates ($28) minus the mail-in costs ($1.04), which ends up being $28 - $1.04 = $26.96.
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A Heron is perched in a tree 50 feet above sea level. Directly below the heron, a pelican is flying 17 feet above sea level. Directly below the birds is a trout, swimming 23 feet below sea level. select all TRUE statements.
A. The difference in height between the pelican and the heron is -33 feet
B. The difference in height between the pelican and the heron is 33 feet
C.The distance between the heights of the pelican and the heron is -33 feet
D.The difference in height between the pelican and the trout is -40 feet
E.The difference in height between the pelican and the trout is 40 feet
F .The distance between the heights of the pelican and the trout is 40 feet
Answer:
A, C, and E but I could be wrong.
Step-by-step explanation:
A because 50 - 17 = 33 so -33 will be your answer for that one.
C because the answer of 50 - 17 = 33.
E because 17 + 23 = -40 so the difference between the pelican and the trout is -40 feet altogether.
Can someone solve this
4+3 => 180
Angle3=180-40=140
Answer:140
Step-by-step explanation: trust me i took the test and got it right
The first terms of a geometric sequence are 0.778,-2.33,7,-21, and 63. What is the 6th term?
Answer:
-189
Step-by-step explanation:
If you continue the pattern by multiplying the term by -3, you will eventually get -189 as the 6th term
Mr Satyal borrowed Rs 50000 and after ane year she returned the loan by paying 60000. What is the intrest paid and what is the rate of the interest?
The interest paid is Rs 10000
The rate of interest is 20%
Step-by-step explanation:
Step 1 :
Amount borrowed by Mr. Satyal = Rs 50000
Amount repaid = Rs 60000
Interest is charged on the principal amount and the amount repaid will be the sum of the interest paid plus the principal amount
Hence the interest paid is 60000 - 50000 = Rs 10000
Step 2:
The rate of interest is calculated as follows :
Divide the interest calculated by the principal amount and is expressed as percentage.
Hence the interest rate = [tex]\frac{10000}{50000}[/tex] × 100 = 20%
Step 3 :
The interest paid is Rs 10000
The interest rate is 20%
There are 25 students who answered a survey about sports Four-ins of them like
football. How many students like football?
I'm guessing the "-ins" is "fifths". A fifth of 25 is 5 (25/5), so multiplying 5 by 4 will get you four-fifths. 20 students like football.
Solve please, its surface area again
Answer:
108 cm^2
Step-by-step explanation:
Base: 6 × 6 = 36 (÷2 = 18)
Faces: 10 × 6 = 60 (÷2 ×3 = 90)
Add: 18 + 90 = 108
An iPhone was marked down by [1/4] of the original price in May. If the original price was $950, What did the iPhone sell for?
Answer:
$712.50
Step-by-step explanation:
Answer:
=712.5
Step-by-step explanation:
JEEEEEEEEEEEEEEEEEEELPPPPP
Answer:
18.84
Step-by-step explanation:
The formula for length of the circle is =
[tex]\pi \times d[/tex]
Therefore
[tex]\pi \times d = 3.14 \times 12 \\ = 37.68[/tex]
Therefore the Arc length =37.68/2
=18.84
A cylindrical glass of water is 6 in tall and holds a volume of 60 inof water.
To the nearest tenth of an inch, what is the radius of the glass?
Answer:
radius of the cylinder = 3inches (to the nearest tenth)
Step-by-step explanation:
the height of the cylinder = 6inches
volume of water in the cylinder = 60inces³
radius of the cylinder =?
π = 3.14
recall that ,
the fomular for finding the volume of a cylinder = πr²h
the volume of a cylinder = πr²h
the volume of a cylinder = 3.14 × r² × 6
60 = 18.84r
divide both sides by 18.84
60/18.84 = 18.84r/18.84
= 3.184
radius of the cylinder = 3inches (to the nearest tenth)
Explain how you know that each pair of triangles are similar.
Geometry
15 pts.
Answer:
SSS~
Step-by-step explanation:
All three sides between the two triangles are proportional (4/12 = 4/12 = 7/21)
The explanation regarding the each pair of triangles should be similar is explained below:
The following information should be considered:
Since there are two triangles so all three sides that lies between the two triangles should be proportional. It can be 4 by 12 = 4 by 12 = 7 by 21Learn more: https://brainly.com/question/24908711?referrer=searchResults
Which of these is an example of delayed purchasing?
O
A. Paying for a drum set in six months and receiving the drum set
today
O
B. Paying for a drum set today and receiving the drum set today
O
C. Paying for a drum set in six months and receiving the drum set in
six months
O
D. Paying for a drum set today and receiving the drum set in six
months
SUBMIT
The correct option is A. Paying for a drum set in six months and receiving the drum set today.
What is purchasing?Purchasing is the organized acquisition of goods and services on behalf of the buying entity. Purchasing activities are needed to ensure that needed items are obtained in a timely manner and at a reasonable cost.
here, we have,
Given that,
From the options provided, we must choose the best one.
Consider the provided information.
When you make a purchase that must be paid for over a period of time but gets delivered today, this is referred to as a delayed purchase.
For example:
When you could buy a hot tub today and pay for it over 39 weeks.
Now consider the provided option.
The correct option is A)
Therefore, The correct option is A. Paying for a drum set in six months and receiving the drum set today.
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72 1/2 x 24 1/2 x 36
Answer:
63945
Step-by-step explanation:
Answer:
Step-by-step explanation:
72.5*24.5*36=
145*49*9=
63945
Saundra room is 15 ft long by 9 feet wide. She is putting carpet in the room and cost $3.75 per square foot how many how much will it cost to put carpet in Sandra's room
Answer:
=$506.25
Step-by-step explanation:
area=15×9=135
1m²=$3.75
135m²=?
135×3.75÷1=506.25
5. Consider a cylindrical flowerpot with a radius 6 cm and a height of 11.5 cm. Calculate the lateral surface area of the painted pot.
Answer: 660 cm²
Step-by-step explanation:
Surface area of a cylinder = 2πr² ± 2πrh = 2πr ( r + h )
π = 22/7
r = 6 cm
h = 11.5 cm
Lateral surface area = 2 x 22/7 x 6 ( 6 + 11.5 )
= 660 cm²
How many ⅛-pint tubes can be filled
from a ¾-pint bottle of hydrogen
peroxide?
Answer:
6
Step-by-step explanation:
3/4 to get the common denominator of 8 would be 6/8. Then, divide by 1/8 to get 6.
48 ⅛-pint tubes can be filled.
To find out how many tubes can be filled:
Convert ¾ pint to eighths: ¾ pint = 6 eighths
Divide the total eighths by the eighths per tube: 6 eighths ÷ ⅛ eighths per tube = 6 ÷ 0.125 = 48 tubes
So, from a ¾-pint bottle of hydrogen peroxide, 48 ⅛-pint tubes can be filled.
Rework problem 23 from section 2.4 of your text involving congressional committees. Assume that the committee consists of 6 Republicans and 5 Democrats. A subcommittee of 4 is randomly selected from all subcommittees of 4 which contain at least 1 Democrat. What is the probability that the new subcommittee will contain at least 2 Democrats?
Answer:
21/22 or 0.955 (3 sf)
43/66 or 0.652 (3 sf)
Step-by-step explanation:
P(atleast 1 Democrat)
= 1 - P(no Democrat)
= 1 - (6C4/11C4)
= 1 - 1/22 = 21/22 or 0.955 (3 sf)
P(atleast 2 Democrats)
= 1 - P(0 or 1 Democrats)
= 1 - 1/22 - (6C3×5C1)/11C4
= 1 - 1/22 - 10/33
= 43/66 or 0.652 (3 sf)
The probabilities that the new subcommittee will contain at least 2 Democrats are 0.955 (least 1) and 0.652 (least 2).
What is probability?Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.
To calculate the probability that the new subcommittee will contain at least 1, Democrat
⇒ 1 - P(no Democrat)
⇒ 1 - (⁶C₄/¹¹C₄)
⇒ 1 - 1/22
⇒ 21/22
⇒ 0.955
To calculate the probability that the new subcommittee will contain at least 2, Democrat
⇒ 1 - P(0 or 1 Democrats)
⇒ 1 - 1/22 - (⁶C₃×⁵C₁)/¹¹C₄
⇒ 1 - 1/22 - 10/33
⇒ 43/66
⇒ 0.652.
Thus, the probabilities that the new subcommittee will contain at least 2 Democrats are 0.955 (least 1) and 0.652 (least 2).
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