9514 1404 393
Answer:
B, E, F
Step-by-step explanation:
A. 4x and 5 + x
B. 2b + b and 3b
C. 3x and 3 + x
D. a ÷ 1/3 and 1/3 a
E. a ÷ 1/3 and a × 3
F. 1a and a
_____
Comment on the above
ax is multiplication of x by 'a'. a+x is addition. They are different operations.
x/(1/3) is not the same as x(1/3). Multiplication and division are different operations.
Arthur earned $22.50 last night delivering lunches for his family's restaurant. He puts 30% of his earnings into his savings account. he then bought a magazine for $3.95 and a CD for $11.49. of the amount earned last night, how much money does arthur have left that is not in his savings account
Answer:
$4.26
Step-by-step explanation:
Find the simple interest
$154.40 for 4 years at 8 1/2%
Answer:
$52.50 (rounded)
Step-by-step explanation:
I = Prt
I = 154.4(.085)(4)
I = 52.496
how many different perfect cubes are among the positive actors of 2021^2021
Answer:
hope this helps :D
Step-by-step explanation:
Perfect cube factors:
If a number is a perfect cube, then the power of the prime factors should be divisible by 3.
Example 1:Find the number of factors of293655118 that are perfect cube?
Solution: If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have
2(0 or 3 or 6or 9)—– 4 factors
3(0 or 3 or 6) —– 3 factors
5(0 or 3)——- 2 factors
11(0 or 3 or 6 )— 3 factors
Hence, the total number of factors which are perfect cube 4x3x2x3=72
Perfect square and perfect cube
If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.
Example 2: How many factors of 293655118 are both perfect square and perfect cube?
Solution: If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have
2(0 or 6)—– 2 factors
3(0 or 6) —– 2 factors
5(0)——- 1 factor
11(0 or 6)— 2 factors
Hence total number of such factors are 2x2x1x2=8
Example 3: How many factors of293655118are either perfect squares or perfect cubes but not both?
Solution:
Let A denotes set of numbers, which are perfect squares.
If a number is a perfect square, then the power of the prime factors should be divisible by 2. Hence perfect square factors must have
2(0 or 2 or 4 or 6 or 8)—– 5 factors
3(0 or 2 or 4 or 6) —– 4 factors
5(0 or 2or 4 )——- 3 factors
11(0 or 2or 4 or6 or 8 )— 5 factors
Hence, the total number of factors which are perfect square i.e. n(A)=5x4x3x5=300
Let B denotes set of numbers, which are perfect cubes
If a number is a perfect cube, then the power of the prime factors should be divisible by 3. Hence perfect cube factors must have
2(0 or 3 or 6or 9)—– 4 factors
3(0 or 3 or 6) —– 3 factors
5(0 or 3)——- 2 factors
11(0 or 3 or 6 )— 3 factors
Hence, the total number of factors which are perfect cube i.e. n(B)=4x3x2x3=72
If a number is both perfect square and perfect cube then the powers of prime factors must be divisible by 6.Hence both perfect square and perfect cube must have
2(0 or 6)—– 2 factors
3(0 or 6) —– 2 factors
5(0)——- 1 factor
11(0 or 6)— 2 factors
Hence total number of such factors are i.e.n(A∩B)=2x2x1x2=8
We are asked to calculate which are either perfect square or perfect cubes i.e.
n(A U B )= n(A) + n(B) – n(A∩B)
=300+72 – 8
=364
Hence required number of factors is 364.
solve the equation on the interval [0,2}. 5 cos x - root 3 = 3 cos x
Answer:
Step-by-step explanation:
5 cos x-√3=3 cos x
5 cos x-3 cos x=√3
2 cos x=√3
cos x=√3/2=cos π/6,cos (2π-π/6)
x=π/6,11π/6
Answer:x=π/6,11π/6
Step-by-step explanation:
5 cos x-√3=3 cos x
5 cos x-3 cos x=√3
2 cos x=√3
cos x=√3/2=cos π/6,cos (2π-π/6)
x=π/6,11π/6
hey guys help pls!!!
Answer:
B
Step-by-step explanation:
I drew it out and triangle b is correct
Estelle swims for the Shorewood Sharks swim team, Last season, she kept track of how far
she swam at each practice.
Distance swam (m)
+
1,000
1,400
1,800
2,200
2,600
3,000
What was the shortest distance Estelle swam at practice?
meters
Answer:1,400
Step-by-step explanation:
The shortest distance Estelle swam at practice is 200 meters if the Estelle swims for the Shorewood Sharks swim team
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
We have box plot data:
1,000 1,400 1,800 2,200 2,600 3,000
From the box plot:
The shortest distance Estelle swam at practice is given by:
= 1800—(1400+1800)/2
= 1800 – 1600
= 200 meter
Thus, the shortest distance Estelle swam at practice is 200 meters if the Estelle swims for the Shorewood Sharks swim team
Learn more about the box and whisker plot here:
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Solve for m Help please
Here m = angle UST
angle UST= 90° - 32° = 58°
What is the missing angle
Answer:
50
Step-by-step explanation:
30 + 100 = 130
130 + 50 = 180
all triangles are 180 degrees, so add it up and subtract.
Answer:
50 degrees will be your answer
Step-by-step explanation:
180-(30+100)=50
180 degrees is the whole angle of a triangle. so we subtract the two sides.
What is the equation of the circle shown in the graph?
6 9 12 36
The side adjacent to ∠W is …
Question 1 options:
side 34
side WU
side 90
side VW
The side adjacent to ∠W is side WU.
9514 1404 393
Answer:
(b) side WU
Step-by-step explanation:
With respect to any given acute angle in a right triangle, the sides of the triangle are called "adjacent", "opposite", or "hypotenuse".
The two sides that form angle W are WU and WV. Side WV is the longest, opposite the right angle, so it is the hypotenuse. Side WU is "adjacent" to angle W, and side UV is "opposite" angle W.
(It can help to note that the name of the opposite side UV does not contain the letter of the angle W. The name of the adjacent side WU does contain the letter of the angle.)
Solve the equation used to find the area of trapezoid for h A=1/2h(x+y)
hey guys i got one more- 8 mi.=_yd. Thanks!!!(PLEASE ANWER FAST!!)
Answer:
if mi stands for miles then 8 miles = 14080 yards
Step-by-step explanation:
8 x 1760
Answer:
14080
Step-by-step explanation:
8 * 1760 = 14080
The Northwood Clock Tower measures 193 meters tall. Dante is creating a scale model of this building using the scale 75 meters : 1 meter.
To the nearest tenth of a meter, what will be the height of the scale model?
Step-by-step explanation:
Height of real/height of scale=ratio of scale
193/x=75/1
x=2.6
Hope that helps :)
4/12×1/8 in simplest form
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
[tex]\frac{4}{12} *\frac{1}{8} =\frac{1}{24}[/tex]
Pls help ASAP. Pls and thx.
Answer:
(assuming the. values are the shaded areas)
area = x^2 + 2x +2
perimeter = 4x + 8
Step-by-step explanation:
you have all the side except the side of the 2 squares at the top.
The squares are 1 unit on each side because the area of the 2 slender rectangles on each side is x.
So the area is x^2 + x + x + 1 + 1
The perimeter is 1+x+1+1+1+x+1+1+1+x+1+x
(starting from the lower left side and walking around the perimeter clockwise)
I need the answer , help me please
Find the volume of the pyramid.
I will ONLY give you a brainliest if your answer is CORRECT!
Answer:
72 cm³
Step-by-step explanation:
Volume of a triangular pyramid = a*(h/3), where a is the area of the base triangle and h is the height from the base to the highest point.
We need to first find a, the area of the bas triangle:
Area of triangle = (1/2)bh, where b is the length of the base and h is the perpendicular height.
a = (1/2)12*4
a = 6*4
a = 24 cm²
Knowing a, we can know find the volume:
Volume = a*(h/3)
= 24*(9/3)
= 24*3
= 72 cm³
Corinna rowed 4/5 mile on a rowing machine in 1/6 hour. What is her rowing rate in miles per hour
Answer: 8.20 miles I believe
Solve the equation 6 = p -8
Answer:
p = 14
Step-by-step explanation:
6 = p - 8
We want to isolate p, so add 8 to both sides.
6 + 8 = p
Add.
14 = p
Hope this helps!
Answer is: P = 14
Switch up the numbers.
6 = p - 8 → 6 + 8 = P
Solve for P.
6 + 8 = 14
Hence, 14 is the answer.
Prince Ivan rides gray wolf and a constant speed from kings castle to the magic apple garden in five hours. on the return trip to kings castle gray wolf runs at that original constant speed for the first 36 km then runs the rest of the way 3 km/h faster. what was grey Wolf original speed if the return trip took 15 minutes less than the trip from kings castle to magic apple garden? (List what the original speed of grey wolf can be)
Answer:
9 km/h or 48 km/hStep-by-step explanation:
Let the distance is d, speed is sAs per given we have:
d/s = 536/s + (d - 36)/(s + 3) = 5 - 1/4Substitute d with 5s and solve for s:
36/s + (5s - 36)/(s + 3) = 19/436(s + 3) + s(5s - 36) = 19s(s + 3)/44(36s + 108 + 5s² - 36s) = 19s² + 57s20s² + 432 = 19s² + 57ss² - 57s + 432 = 0s² - 9s - 48s + 432 = 0s(s - 9) - 48(s - 9) = 0(s - 9)(s - 48) = 0s -9 = 0 ⇒ s = 9 km/hs - 48 = 0 ⇒ s = 48 km/hThe original speed of grey wolf can be 9 km/h or 48 km/h
Which following relations represent a function
Answer:
I think that actually all of them represent a function , except D .
hope it was helpful .
Help me plsssssssssssssss
Hi
Answer:
1,900 i think is the answer pls dont sue me lol
Answer:
1900
Step-by-step explanation:
To the nearest hundred, so we have to look at the tens place. The tens place is 9, ninety, it's greater than 5, so we round up. therefore, 1894 rounded to the nearest hundred is 1900.
Combine and simplify the following radical expression.
(2^3 square root 12) (3^3 square root 2)
Answer:
432[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Given: ([tex]2^{3}[/tex][tex]\sqrt{12}[/tex])([tex]3^{3}[/tex][tex]\sqrt{2}[/tex])
= (8[tex]\sqrt{4*3}[/tex])(27[tex]\sqrt{2}[/tex])
= (8*2[tex]\sqrt{3}[/tex])(27[tex]\sqrt{2}[/tex])
= (16[tex]\sqrt{3}[/tex])(27[tex]\sqrt{2}[/tex])
So that;
16 x 27 x [tex]\sqrt{3}[/tex] x [tex]\sqrt{2}[/tex]
= 432[tex]\sqrt{6}[/tex]
Thus the radical expression given can be simplified as 432[tex]\sqrt{6}[/tex]
Ava swam for 154 minutes during her first week of vacation. In her two weeks of vacation, she swam for a total of 357 minutes. How many more minutes did she swim for in the second week than in the first week?
Answer:
Ava swam 203 more miles
Step-by-step explanation:
357-154=203
I have four bags of small chocolate
eggs, with each bag containing an equal
number of eggs and weighing 0.36kg
I hide the eggs in the garden
24 children search for the eggs and each
finds 3 eggs. They found all of the eggs
How much does
each egg weigh
in grams?
20 grams
Step-by-step explanation:
24× 3 = 72 eggs then convert kg to grams 0.36 × 1000 = 360 grams × 4 = 1440 grams after that 1440 ÷ 72 = 20 grams
Answer:
total number of eggs = 3×24= 72eggs
number of eggs in each bag = 72/4=18 eggs
Each egg will weigh, 0.36/18
= 0.02kg
= 0.02×1000
=20g
3(6x-5)-7(3x+10)=0. solve for x
Answer:
x = -85/3
Step-by-step explanation:
The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given expression is:
3(6x-5)-7(3x+10)=0
now, we have to simplify the expression to solve for x
we get,
3(6x-5)-7(3x+10)=0
or, 18x - 30 - 21x - 70 = 0
or, 18x - 21x -30 - 70 = 0
or, - 3x - 100 = 0
or, 3x = -100
or, x = -100/3
or, x = - 33.33
Hence, The solution is, the value of x is - 33.33 in 3(6x-5)-7(3x+10)=0.
To learn more on simplification click:
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CAN U PLZ ANSWER THIS ITS FOR A TEST
Answer:
A. 300in^2
Step-by-step explanation:
Area=LWH
15*10*2=300
Can someone tell me how to do this and give me the answer please
Answer:
C. 94 Supplementary angles
Step-by-step explanation:
PLEASE ANSWER ASAP! NO SCAM LINKS OR REPORTED!
Answer:
Answer is D!
Step-by-step explanation:
y=-3x-2
Substitute x and y values and check
-3(-2) = 6 - 2 = 4
Jacqueline is ordering pizzas for a party. Each pizza is cut into 12 slices. Jacqueline wants to have enough pizza so each person can have 4 slices. 16 people will be at the party. If Jacqueline buys 7 pizzas, how many extra slices will be left over after each guest eats 4 slices?
Answer:
20
Step-by-step explanation:
Just write down the answer.