Answer:
40x-6 is not equivalent because 16 is not a multiple of 40
Step-by-step explanation:
if you write the multiples of 4o you will see that 16 is not one of them so that means 40x-16 is not equivalent
The mass of the particles that a river can transport is proportional to the fifth power of the speed of the river. A certain river normally flows at
a speed of 4 miles per hour. What must its speed be in order to transport particles that are 12 times as massive as usual? Round your
answer to the nearest hundredth.
Answer:
6.58 miles per hour
Step-by-step explanation:
Let the mass and speed be represented by m and s respectively. So that,
m [tex]\alpha[/tex] [tex]s^{5}[/tex]
m = k[tex]s^{5}[/tex]
where k is the constant of proportionality.
For a certain river, speed = 4 miles per hour.
m = k [tex](4)^{5}[/tex]
m = 1024k ............ 1
In order to transport particles that are 12 times as massive as usual;
12m = k[tex]s^{5}[/tex]
m = [tex]\frac{ks^{5} }{12}[/tex] ............. 2
Thus,
[tex]\frac{ks^{5} }{12}[/tex] = 1024 k
[tex]s^{5}[/tex] = 12 x 1024
= 12288
[tex]s^{5}[/tex] 12288
s = [tex]\sqrt[5]{12288}[/tex]
= 6.5750
s = 6.58 miles per hour
Therefore, its speed must be approximately 6.58 miles per hour.
I have 3 red markers, 3 blue markers, and 3 green markers. I take the caps off and put on the caps randomly. Find the expected number of markers that have the same color cap and marker.
Answer:
The expected number of markers that have the same color cap and marker is 3.
Step-by-step explanation:
Every marker has a [tex]\frac{1}{3}[/tex] chance to get the same color cap, because there are always 3 same caps, and 9 total caps. By linearity of expectation, the expected number of markers that have the same color cap and marker is equal to the sum of all marker's individual 'contribution' to the same color cap count. So the expected value is [tex]9 \cdot \frac{1}{3} = 3[/tex], precisely what we were after.
Answer:
3
Step-by-step explanation:
By running the following Python code, we can safely assume the answer to be 3:
---------------------
import random
def cap_throw():
cap_list = ['R', 'R', 'R', 'G', 'G', 'G', 'B', 'B', 'B']
random_cap_list = cap_list[:]
random.shuffle(random_cap_list)
counter = 0
for i in range(len((cap_list))):
if cap_list[i] == random_cap_list[i]:
counter += 1
return counter
results_list = []
for i in range(10 ** 6):
results_list.append(cap_throw())
print(sum(results_list) / len(results_list))
---------------------
Which gave 2.998795.
HELP MEEEEE!
Simplify it- don't like solve it please. And ExPlAiN hOw YoU dId It!
Answer:
216g³
Step-by-step explanation:
[tex](xy)^n=x^ny^n\\(6g)^3=6^3g^3[/tex]
[tex]6^3=216[/tex]
Solve for x if EF = 2x + 7 and FG = 7x –9
help please I'll give brainliest
Answer:
x = 3.2
Step-by-step explanation:
Since, intercepts made by parallel lines on the transversals are in proportion.
[tex] \therefore \frac{AB}{BC} =\frac{EF}{FG}... (1)[/tex]
AB = BC.... (given)
[tex] \implies \frac{AB}{BC} = 1..... (2)[/tex]
From equations (1) & (2)
[tex] 1 =\frac{EF}{FG}[/tex]
[tex] {FG}={EF}[/tex]
Therefore,
7x - 9 = 2x + 7
7x - 2x = 9 + 7
5x = 16
x = 16/5
x = 3.2
Adam is selling cookies for a fundraiser. The cookies cost him $1.49 a box. He is selling them for $2.25 a box. Adam sold 209 boxes of cookies. How much profit did Adam earn?
A cheesecake recipe says:
Mix 12 ounces of cream cheese with 15 ounces of sugar.
1. What is the unit rate of cream cheese for sugar?
2. what is the unit rate of sugar for cream cheese?
(CORRECT ANSWER GETS A GOOD 5 STARS AND BRAINLESST)
Number 1 answer :
Cream cheese = 12 Sugar= 15 12 divided by 15 = 0.8
There are 0.8 ounces of cream cheese for every ounce of sugar.
Number 2 answer:
Sugar= 15 Cream cheese = 12 15 divided by 12 = 1.25
There are 1.25 ounces of sugar for every ounce of cream cheese.
Triangle abc is equilateral, solve for x and y
Answer:
x = 4
y = 3
Step-by-step explanation:
Remark
If a triangle is equilateral all three sides are equal. So each side has equal statements.
Solution
3x + 2 = 5x - 2y Subtract 3x from both sides
2 = 5x -3x - 2y Combine
2 = 2x - 2y divide by 2
x - y = 1 Equation 1
3x + 2 = 6y - 4 Equilateral triangles have equal sides. Subtract 6y
3x - 6y + 2= - 4 Subtract 2
3x - 6y = -4 - 2
3x - 6y = - 6 Divide by 3
x - 2y = - 2 Equation 2.
Now subtract equation 1 from equation 2
x - 2y = - 2
x - y = 1 Subtract
- y = - 3 Multiply by -2
y = 3
Put y = 3 into equation 1
x - y = 1
x - 3 = 1 Add 3 to both sides.
x = 4
Answer
x = 4
y = 3
6. Find the measure of each
marked angle.
The measure of each marked angle is 60 degrees for the given figure, which are alternate exterior angles.
The angles are given as:
∠1 = 10x-20 and ∠2 = 7x+4
As we know that alternate exterior angles are described as the pair of angles formed on the outer side of the parallel lines and on opposite sides of the transversal when two parallel lines are crossed by a transversal.
By alternate exterior angles, it can be written as:
∠1 = ∠2
10x-20 = 7x+4
10x -7x = 4 + 20
3x = 24
x = 24/3
x = 3
From given angles:
80 - 20 = 60
56 + 4 = 60
Thus, the measure of each marked angle is 60 degrees.
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Blue earns 5.5% commission working at Advian. If he sells $85,000 worth of goods during the quarter,
what is his commission?
Answer:
$4,675
Step-by-step explanation:
The commission is 5.5% of $85,000.
5.5% * $85,000 =
= 0.055 * $85,000
= $4,675
Answer:
$4675
Step-by-step explanation:
85,000 x .055 = 4,675
Hope that helps!
Jake spent a three-day weekend on the lake. On Saturday, he rented a pontoon boat for three hours and paid $435. On Sunday, he rented the same boat for five hours and it cost him $190 more than it di the day before. If he rented the same boat on Monday for just two hours, find the total cost to rent the boat for three days.
Answer:
1400
Step-by-step explanation:
There is a flat fee involved, which is the y-intercept of the line.
The line eats the points:
(3, 435)
and
(5, 625)
the slope is 190/2 = 95
B = y - mx = 435 - (95)(3)
= 435 - 285
= 150
The linear function is:
y = 95x + 150
So for x=2, it will cost
95(2) + 150 = 190 + 150 = 340
435 + 625 + 340 = 1400
The total cost to rent the boat for three days is $1400.
Given that, on Saturday, he rented a pontoon boat for three hours and paid $435.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The cost for the rented a pontoon boat for five hours is 435+190 = 625
The coordinate points are (3, 435) and(5, 625)
The slope is m = (625-435)/(5-3)
= 190/2 = 95
Now, b = y - mx = 435 - (95)(3)
= 435 - 285 = 150
So, the linear function is y = 95x + 150
So for x=2, it will cost
95(2) + 150 = 190 + 150 = 340
Total cost = 435 + 625 + 340 = 1400
Therefore, the total cost to rent the boat for three days is $1400.
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Which of the following is equivalent to (1/2)^-2t
Answer:
Choice (3) is correct.
.................................
Answer:
C, D
Step-by-step explanation:
not really much to explain except 169 and 4 are perfect squares
Only do what you know ! I know the answers thought but I wanna know what y'all know .
Answer:
A. Weeks
B. Fingernail growth
C. 1, 2, 3, 4 (weeks)
D. 0.7, 1.4, 2.1, 2.8 (mm)
Step-by-step explanation:
ez
please please answer will give brainliest
Answer:
5,720,000 Sq Feet.
Step-by-step explanation:
They are asking the Area of a Trapezoid
Equation =( base + base / 2) x height
Lets first set it up. We know that A-B is 200 feet. & D-C is 260. They are both the bases.
So if you multiply them (200 x 260) You will get 52000.
Now we divide that by 2. (52000 / 2 = 26000)
Now it says the straight line is 220. I think this refers to the height.
Now we multiply 26000 x 220. Which is 5720000.
Its a pretty big number, but that is the answer! :)
Hope this helps!
Can someone help figure this out for me??
[tex]\frac{324-7.9}{\sqrt{46-5.832}}[/tex]
= 49.87517031
A glass is
1
2
full. Then 65cm3 of orange juice is poured in.
The glass is now
6
7
full. What is the total volume of the glass?
Answer:
Answer is v=182
Step-by-step explanation:
v=volume of the glass
v/2+65=6v/7
Multiply by 14
7V+910=12V
910=5V
V=182
I hope it's helpful!
jack is paid $54 for working 9 hours how many dollars would he earn for working 6 hours
Answer:
$36
Step-by-step explanation:
54/9=6
6*6=36
$36
4
5
6
7
x + 4)
3x + 6
Z.
х
.
110
3x + 2
2x
4x
12
25
16
17
What type of angle is this?
What will the equation be?
What is x?
What type of angle is this?
What will the equation be?
What type of angle is this?
What will the equation be?
What is x?
What is x?
Angle 1(x)
Angle 1 (3x + 6)
+
2
Angle 1 (x + 4)
Angle 2 (3x + 2)
Angle 2 (2x)
Angle 2 (4x)
Answer/Step-by-step explanation:
Problem 1:
✔️Type of angle = right angle
✔️Equation: (x + 4) + (3x + 2) = 90°
✔️value of x:
x + 4 + 3x + 2 = 90
Add like terms
4x + 6 = 90
4x = 90 - 6
4x = 84
x = 84/4
x = 21
✔️Angle 1 (x + 4):
Plug in the value of x
Angle 1 = 21 + 4 = 25°
✔️Angle 2 (3x + 2):
Angle 2 = 3(21) + 2 = 63 + 2 = 65°
Problem 2:
✔️Type of angle = right angle
✔️Equation: x + 2x = 90°
✔️value of x:
x + 2x = 90
Add like terms
3x = 90
x = 90/3
x = 30
✔️Angle 1 (x):
Angle 1 = x = 30°
✔️Angle 2 (2x):
Angle 2 = 2(30) = 60°
Problem 3:
✔️Type of angle = right angle
✔️Equation: (3x + 6) + 4x = 90°
✔️value of x:
3x + 6 + 4x = 90
Add like terms
7x + 6 = 90
7x = 90 - 6
7x = 84
x = 84/7
x = 12
✔️Angle 1 (3x + 6):
Plug in the value of x
Angle 1 = 3(12) + 6 = 42°
✔️Angle 2 (4x):
Angle 2 = 4(12) = 48°
Which is the simplified rational expression for 4p - 3
3p + 1
+
3p+1
6p+2 = 0
6p +2
6p+ 2
6p +2
=
1
6p+2
3 p + 1
2
6p+2
3p + 1
3
Answer:
1
6p+2
3 p + 1
2
6p+2
3p + 1
3
Step-by-step explanation:
mark brainliest please
In the triangle below, what is the length of the side opposite the 30 degree angle?
Answer:
A. 3/2
Step-by-step explanation:
To find the lenght of the side opposing the 30° angle, you need to use trigonometry, since it's a right-angled triangle. You have your 30° angle and you have the side beside : therefore, you can use the sine :
sin(30) x 3 = ?
0,5 x 3 = ?
1,5 = ?
1,5 = 3/2
2.5= -2B+6 Pls help me
Answer:
B=1.75
Step-by-step explanation:
simplify
6.5b - 4.7b
Answer:
1.8b
Step-by-step explanation:
Hi there!
1.Subtract both terms:
[tex]6.5b-4.7b=1.8b[/tex]
2.Fraction form:
[tex]1.8b=1\frac{8}{10}b[/tex]
3.Simplifly the fraction term:
[tex]1\frac{8}{10}b*2=1\frac{4}{5}b[/tex]
Therefore, 6.5b-4.7b=1.8=1 8/10=1 4/5..
Please help! Will mark brainliest
Answer:
3!!!
Step-by-step explanation:
|2(-6)+5| - 8((1)/(2))
hope this helped ahahaa <3
The following double line graph represents the heights (in inches) of Lana and Sabrina over a period of seven years. For how many of the years shown was Lana taller than Sabrina? 7 4 6 5
Answer:
5 inches babesss
Step-by-step explanation:
Answer:
She was taller than Sabrina for 6 years.
Step-by-step explanation:
Ms. Abaza is a salesperson at a car dealership. She will receive
a bonus if she sells more cars this year than last year. Last
year, she sold 108 cars. This year, her goal is to sell 225% as
many cars. How many cars must she sell to reach her goal?
Plz help
Answer:
A
Step-by-step explanation:
Answer:243
Step-by-step explanation:
Which of the following is the solution to the equation 10/3=8/x
A)1 7/8
B)2 2/5
C)2 3/4
D)3 1/3
please show worrk
Write 200 as a product of prime factors in index form.
Answer:
The number 200 has two distinct prime factors. The prime factorization of 200 is as follows: 200 = 2 × 2 × 2 × 5 × 5.
Step-by-step explanation:
The index form of 200 as a product of prime factors is 2³ × 5².
The given number is 200.
What is a index form?The index form of a number is that number written as an exponential expression, or a single number raised to another number.
Prime factorization is a process of writing all numbers as a product of primes.
The prime factors of 200=2×2×2×5×5
=2³ × 5²
Therefore, the index form of 200 as a product of prime factors is 2³ × 5².
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If you solved the equation y=kx for k, what would k be equal to?
O k = xy
k = y/x
O k = x/y
O k = x+y
O k=y-X
Back
Nort
Answer:
k = [tex]\frac{y}{x}[/tex]
Step-by-step explanation:
y = kx
Divide by x on both sides to isolate k
k = [tex]\frac{y}{x}[/tex]
The senior class at Clearville ISD is having a fundraiser to raise money for their prom. They are seling coupon books in the local community. The number currently sold by each of the students was used to create the box plot shown below. HHH 8 10 12 14 16 18 20 22 24 26 28 30 32 If one of the students calculated the mean of the data to be 14.5, would this be an appropriate mean? OA. Yes, the mean is appropriate. OB. There is not enough information to determine if the mean is appropriate. O C. No, the mean should be lower. OD. No, the mean should be higher. Reset Submit
Answer:
The answer is D
Step-by-step explanation:
If you add them all, and divide them it wouldn’t get 14.5
Answer:
No, the mean should be higher.
Step-by-step explanation:
Have a good day :)
Plz help now
We toss a die 4 times. among all possible outcomes how many have at least one occurrence of 1?
Answer:
4/24
Step-by-step explanation: