Answer:
On the first hour she gathered 8 mushroons, on the second 15 mushroons and on the third she gathered 14 mushroons.
Step-by-step explanation:
Helen gathred a total of 37 mushroons in three hours. On the first hour she gathered "x" mushroons, on the second hour she gathered "x + 7" mushroons and on the third hour she gathered "x + 6". Therefore the sum of mushrrons she gathered on each hour should be equal to the total she gathered as shown below:
37 = x + (x+ 7) + (x + 6)
37 = 3*x + 13
3*x + 13 = 37
3*x = 37 - 13
3*x = 24
x = 24 / 3
x = 8
On the first hour she gathered 8 mushroons, on the second 15 mushroons and on the third she gathered 14 mushroons.
Answer:
Helen gathered
8 mushrooms in the first hour,
15 mushrooms in the second hour and
14 mushrooms in the third hour.
Step-by-step explanation:
A box contains 7 yellow, 5 blue, and 4 red balls. Three balls are drawn at random. Find the probability that:
a)
All three balls are the same color
c)
Two balls are yellow and one is blue
d)
All three balls are different colors
Answer:
a) 7/80 = 0.0875
b) 3/16 = 0.1875
c) 1/4 = 0.2500
Step-by-step explanation:
There are a total of 16 balls. 3 are selected. There are ₁₆C₃ possible combinations.
a) If all 3 balls are the same color, they are either all yellow OR all blue OR all red.
The number of ways of choosing 3 yellow balls from 7 is ₇C₃.
The number of ways of choosing 3 blue balls from 5 is ₅C₃.
The number of ways of choosing 3 red balls from 4 is ₄C₃.
The total probability is:
P = (₇C₃ + ₅C₃ + ₄C₃) / ₁₆C₃
P = (35 + 10 + 4) / 560
P = 49 / 560
P = 7 / 80
P = 0.0875
b) The number of ways of choosing 2 yellow balls from 7 is ₇C₂.
The number of ways of choosing 1 blue ball from 5 is ₅C₁.
The probability of both is:
P = ₇C₂ ₅C₁ / ₁₆C₃
P = 21 × 5 / 560
P = 105 / 560
P = 3 / 16
P = 0.1875
c) If all 3 balls are different colors, then there is exactly 1 yellow, 1 blue, and 1 red.
The number of ways of choosing 1 yellow ball from 7 is ₇C₁.
The number of ways of choosing 1 blue ball from 5 is ₅C₁.
The number of ways of choosing 1 red ball from 4 is ₄C₁.
The probability of all events is:
P = ₇C₁ ₅C₁ ₄C₁ / ₁₆C₃
P = 7 × 5 × 4 / 560
P = 140 / 560
P = 1 / 4
P = 0.2500
What is the measure of angle DBA?
Answer:
DBA =110 degree
Step-by-step explanation:
angle DBA is central angle
central angle = arc angle = 110 degree
Answer:110
Step-by-step explanation:
Please help!
You pick a card at random. Without putting the first card back, you pick a second card at random.
What is the probability of picking a 3 and then picking a 3?
Simplify your answer and write it as a fraction or whole number.
product -6 and sum 1 what is the factors
Answer:
The answer is -2 & 3
Step-by-step explanation:
I need help Please help.
Answer:
Step-by-step explanation:
Number of students 10
Problem 1. $625 for the bus hire per friday, So 625*4=$2500
Problem 2. 2500/25=$100 each for the whole 4 weeks
Problem 3.
10 students tickets 220= 2200 for all tickets. The bus, 625/10 = $62.5*4= $250 dollars for the whole 4 weeks for the bus so in all each student pays $470 each
20 students, tickets 220=4400 for all tickets. The bus, 625/20=$31.25*4=$125 for the whole 4 weeks for the bus, so in all each student must pay $345 each
30 students, tickets 220 = 6600 for all tickets. The bus, 625/30 =$20.83*4=$83.32 for the whole 4 weeks for the bus, so in all each student must pay $303.32 each
41 students, tickets $160=$6560 for all tickets. The bus, because you need 2 buses at 625 each so $1250 for both buses 1250/41= 30.49*4=$121.96 for the whole 4 weeks for the bus. So in al each student must pay $281.96 each
Hope this is correct
Express x^2-5x+8 in the form (x-a)^2+b
Answer:
x^2 - 5x + 8 = (x - 5/2)^2 + 7/4
Step-by-step explanation:
(x - a)^2 + b = x^2 - 2ax + a^2 + b
equate to your quadratic :
x^2 - 5x + 8 = x^2 - 2ax + (a^2 + b)
equating coefficients (ignoring x^2 as the coefficient is 1 for both)
for x :
-5 = -2a --> a = 5/2
for x^(0) : 8 = a^2 + b , note a = 5/2
thus,
8 = (5/2)^2 + b
8 = 25/4 + b
b = 8 - 25/4 = 32/4 - 25/4 = (32 - 25)/4 = 7/4
hence a = 5/2 , b = 7/4
thus,
x^2 - 5x + 8 = (x - 5/2)^2 + 7/4
the button on ernestos shirt has a diameter of 8 millimeters.what is the buttons radius
Answer:
4 mm
Step-by-step explanation:
The radius is half the diameter, so in this case the radius of each button is 4 mm.
Answer:
The radius would be 4 millimetres
Step-by-step explanation:
The radius is the length from one side to the centre of the circle.
The diameter is the length from one side to another.
To work out the radius you would simply divide the diameter of 8 by 2, this gives you 4 millimetres. This is because the radius is half of the diameter.
1) Divide 8 by 2.
[tex]8/2=4 mm[/tex]
Find the probability that a point in the figure chosen at random is in the
shaded kite. *Remember, the are of a kite is found by one half of diagonal
1 times diagonal 2. *
A)1/3
B)1/4
C)3/4
D)1/2
Answer:
Correct option: D) 1/2
Step-by-step explanation:
First we need to find the area of the kite and the area of the rectangle.
The diagonals of the kite are 16 and 12, as they are parallel to the sides of the rectangle.
So the area of the kite is A1 = (1/2) * 16 * 12 = 96
The area of the rectagle is the product of the sides, so A2 = 16 * 12 = 192
Now, to find the probability of a random point being inside the kite, we just need to divide the area of the kite by the area of the rectangle:
Probability = A1 / A2 = 96 / 192 = 1/2
Correct option: D)
Only 1/9 enrolled students in a school were absent. There were 4512 students present. How many students are enrolled in the school?
Answer:
5076.
Step-by-step explanation:
Let x be the number enrolled, then:
x - 1/9 x = 4512
8/9x = 4512
x = 4512 * 9/8
x = 5076.
What is the equation in slope intercept form of the line that has a slope of -3 and passes through the point (0,5)
2x+5y=20 in slope intercept form
Answer: y=2/5x - 4
Step-by-step explanation:
A corporation produces packages of paper clips. the number of clips per package varies, as indicated below for a sample of 20 packages. 48 49 51 52 48 50 51 50 49 47 52 53 50 49 52 51 53 48 49 50 create a histogram. how many packages contain between 48 and 52 clips (inclusive) per package
Answer:
- The histogram of this distribution is presented in the attached image to this answer.
- The number of packages that contain between 48 and 52 clips (inclusive) per package = 17
Step-by-step explanation:
To create an histogram, we need to properly present the right solutions to angry mob.
The number of clubs per package is presented as thus
48 49 51 52 48 50 51 50 49 47 52 53 50 49 52 51 53 48 49 50
In an organized home, the data is reset to the number of clubs per passport and corresponding video is done
x | f
47 | 1
48 | 3
49 | 4
50 | 4
51 | 3
52 | 3
53 | 2
The histogram of this distribution is presented in the attached image to this answer.
- The number of packages that contain between 48 and 52 clips (inclusive) per package
From the data table, it is evidently 3+4+4+3+3 = 17
Hope this Helps!!!
In a direct variation, y = 12 when x = 6. Write a direct variation equation that shows the relationship between x and y.
Answer:
y=2x
Step-by-step explanation:
Y=kx
12=k6
12 divided by 6 to get 2
and 2=k
In this nuclear reaction equation, oxygen decays to form nitrogen. Which equation correctly describes
this decay?
O 150 N + e
o 150+ e TN
o 150 N+
o 150 → N+
Answer:
A. 150 N + e
Step-by-step explanation:
Im smart pls mark brainliest.
Solve for c.
–4c − 9 = –3c
c =
Look at the attached picture
Hope it will help you
Good luck on your assignment
what is the probability of spinning a number less than 3 or 6
Answer:
I'm glad you asked!
Step-by-step explanation:
The probability would be 0.3333 .When we convert it into a number we get 26 or 13.
Solve the equation 4x² +7x-2=0.
Answer:
x+11.5
Step-by-step explanation:
4x² +7x-2=0
16x+7x-2=0
23x-2=0
+2 +2
23x=2
23x/2
x= 11.5
I hope these help.
a card is drawn at random from a standard 52 card deck has a 1/13 chance of being at 8. What is the probability of the car not being an ace?
Answer:
12/13
Step-by-step explanation:
There are 52 cards in the deck
4 are aces
That leaves 52-4 or 48 that are not aces
P(not an aces) = cards that are not aces / total
= 48/52
=12/13
Answer:
[tex] \frac{12}{13} [/tex]
Answer D is correct
Step-by-step explanation:
[tex]there \: \: \: are = 52 \: \: cards \\ aces \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4 \: \: cards \\ not \: aces \: \: \: \: \: = 52 - 4 \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 48 \\ p \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{48}{52} \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{12}{13} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Find the number if:
4.5% of it is 23% of 4
Answer:
20.4
Step-by-step explanation:
Please solve this with an explanation. will mark as brainiest.
Answer:
[tex]236cm^2[/tex]
Step-by-step explanation:
[tex]A=2(wl+hl+hw)=2*(5*2+3*2+3*5)=62cm^2[/tex]
[tex]A=2(wl+hl+hw)=2*(3*5+3*5+3*3)=78cm^2[/tex]
[tex]A=2(wl+hl+hw)=2*(3*5+3*5+3*3)=78cm^2[/tex]
[tex]A=2(wl+hl+hw)=2*(3*3+3*3+3*3)=54cm^2[/tex]
[tex]62+78+78+54=272cm^2[/tex]
6 x - 16.7 equals what please help
Answer:
- 100.2
Step-by-step explanation:
6 x(-16.7)
6 x [tex]\frac{-167}{10}[/tex]
6 x(-167) = - 1002
-1002/10 = - 100.2
what is the answer please im in a hery
Answer:
Factor [tex]12a + 6b : 6(2a + b)[/tex]
Step-by-step explanation:
[tex]12a+6b[/tex]
Rewrite [tex]12[/tex] as [tex]2 * 6[/tex]:
[tex]=2\cdot \:6a+6b[/tex]
Factor out common term [tex]6[/tex]:
[tex]=6\left(2a+b\right)[/tex]
Hope I helped. If so, may I get brainliest and a thanks?
Thank you, Have a good day! =)
A dolphin is swimming at a constant speed. It travels 30 meters every 5 seconds. What is the slope of the line that shows the relationship between x, time in seconds, and y, the distance in meters traveled by the dolphin
Answer:
6 meters per 1 second or 6m/s
Step-by-step explanation:
slope is rise/run or change in y/change in x
in this case y=30, x=5 so slope = 30/5= 6
One of the altitudes of the parallelogram shown is the square root of 22.5. What is the other altitude?
Answer:
Step-by-step explanation:
Name all factors of x3 – 3x2 – 10x.
A diver dives from the board at a local swimming pool. Her height, y, in metres, above the water in terms of her horizontal distance, x, in metres, from the end of the board is given by y= -x^2 + 2x + 3. What is the diver's maximum height?
Answer:
4 meters
Step-by-step explanation:
Given a quadratic equation in which the coefficient of [tex]x^2[/tex] is negative, the parabola opens up and has a maximum point. This maximum point occurs at the line of symmetry.
Since the divers height, y is modeled by the equation
[tex]y= -x^2 + 2x + 3[/tex]
Step 1: Determine the equation of symmetry
In the equation above, a=-1, b=2, c=3
Equation of symmetry, [tex]x=-\dfrac{b}{2a}[/tex]
[tex]x=-\dfrac{2}{2*-1}\\x=1[/tex]
Step 2: Find the value of y at the point of symmetry
That is, we substitute x obtained above into the y and solve.
[tex]y(1)= -1^2 + 2(1) + 3=-1+2+3=4m[/tex]
The maximum height of the diver is therefore 4 meters.
2. Write a quadratic function with zeros at 6 and -2.
Answer:
f(x) = x^2 - 4x - 12
Step-by-step explanation:
If 6 is a zero, (x - 6) is a factor. Likewise, if -2 is a zero, (x + 2) is a factor.
Multiplying these two factors together, we get:
f(x) = x^2 - 4x - 12
The two prisms below are similar. What is the value of x?
30
A. 3
B. 9
C. 1
D. 30
SUBMIT
Circle P has a circumference of approximately 75 inches.
What is the approximate length of the radius, r? Use 3.14
for te. Round to the nearest inch.
12 inches
24 inches
38 inches
46 inches
Answer:
12 inches
Step-by-step explanation:
2(3.14)r=75
r = 11.94 ~ 12 inches
Answer:
The answer is A
Step-by-step explanation:
2(q–8)< – 10 solve for q
Answer:
[tex] = q < 3[/tex]
Step-by-step explanation:
[tex]2(q - 8) < - 10 \\ 2q - 16 < - 10 \\ 2q < - 10 + 16 \\ 2q < 6 \\ \frac{2q}{2} < \frac{6}{2} \\ q < 3[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!