Answer: Jeremy score 18 points; Donovan score 6 points.
Step-by-step explanation:
Let Jeremy's points be a
Let Donovan's point be b
Let Kolby point be c
Jeremy scored triple the number of points as Donovan. This is:
a = 3b
Kolby scored double the number of points as Donovan. This will be:
c = 2b
The the three boys scored 36 points. This will be:
a + b + c = 36
Since a = 3b and c = 2b
Plug the equations for a and c into the equation. This will be:
a + b + c = 36
3b + b + 2b = 36
6b = 36
b = 36/6
b = 6
Donovan has 6 points
Jeremy will have:
a = 3b
a = 3 × 6
a = 18
Jeremy has 18 points.
Kolby will have:
c = 2b
c = 2 × 6
c = 12
Kolby will have 12 points.
The weight of each cookie in a batch of a certain type of commercially produced cookie follows an approximately normal distribution with a mean of 11.32 grams and a standard deviation of 0.03 grams. Approximately what percent of the cookies weigh between 11.32 and 11.35 grams?
Answer:
Around 34.14% of the cookies are between 11.32 and 11.35 grams.
Step-by-step explanation:
In a normal distribution around 68.28% of the values are around minus one to one standard deviation. In this case we want to know the percentage of values that are between zero and one standard deviation, therefore the percentage of values that are in that range is given by 68.28% / 2 , which is equal to 34.14%.
What is x?
35=5(x+9)
Answer:
x = -2
Step-by-step explanation:
Find the area of the the regular polygon.
Answer:
Area of regular polygon: ( About ) 442.8 units^2; Option C
Step-by-step explanation:
~ In this situation we can apply the formula 1/2 * a * P, provided a ⇒ apothem, and P ⇒ Perimeter of the shape ~
Here we are directly provided with the apothem, which makes it a whole lot easier than dividing the figure into triangles, drawing an altitude to one of the triangles, determining the tan degree of the triangle etc.
1. Given one of the sides to be 11 units, the perimeter of this hexagon would be 11 * 7, as it is implied that it is a regular polygon ⇒ Perimeter: 77 units
2. Now let us substitute the apothem and perimeter into this formula to determine the area of this regular polygon: 1/2 * 11.5 * 77 ⇒ 442.75
Area of regular polygon: ( About ) 442.8 units^2
Jonathan's car used 3 gallons to travel 45 miles. How many miles can the car go for each gallon of gas?
Answer:
Jonathans car can go 15 miles per gallon of gas
Step-by-step explanation:
Do 45 divided by 3
Answer:
15 miles
Step-by-step explanation:
Take the number of miles and divide by the number of gallons
45 miles / 3 gallons
15 miles per gallon
There are two 3's in the number 2,033,541 Jessica says that the 3 on the left is 10 times the value of the 3 on the right Raul says the 3 on the right is 1/10 the value of the 3 on the left who is correct explain your thinking
Step-by-step explanation:
I think both are correct because Jessica says 30000 is 10 times of 3000 and she is right whereas Raul says 3000 is 1 / 10 of 30000 he is also right
Given that (5,-9) is on the graph of f(x), find the
corresponding point for the function -2/3 f(x).
Answer:
6
Step-by-step explanation:
Given: (5,-9) is on the graph of f(x)
To find: corresponding point for the function [tex]\frac{-2}{3}[/tex] f(x)
Solution:
A graph refers to a pictorial representation that represents the relationship between two or more things in an organised manner. It consists of two axes x-axis and y-axis perpendicular to each other at the origin.
As (5,-9) is on the graph of f(x),
[tex]f(5)=-9[/tex]
So, [tex]\frac{-2}{3}f(x)=\frac{-2(-9)}{3}=\frac{18}{3} =6[/tex]
Find the area of this shape. Correct answer will Brainliest
Answer:
As shown in picture, this is a trapezoid.
The area of a trapezoid is calculated by:
A = (base1 + base2) x height x (1/2)
To work out A, we need to find out base1, base2, and height.
base1 = YZ = [tex]\sqrt{(Zx - Yx)^{2} + (Zy - Yy)^{2} } = \sqrt{(5 - 2)^{2} + (5 - 5)^{2} } = 3[/tex]
base2 = XW =[tex]\sqrt{(Wx - Xx)^{2} + (Wy - Xy)^{2} } = \sqrt{(8 - 1)^{2} + (1 - 1)^{2} } = 7[/tex]
Otherwise, the height (distance between base1 and base2) is 4 as shown in picture.
=> A = (3 + 7) x 4 x (1/2) = 20
Hope this helps!
:)
What is cot of angle a?
Reduce fractional answers to lowest terms.
A
13
5
12
B
Answer:
5 / 12
Step-by-step explanation:
The cotangent is adjacent ÷ opposite
Opposite = 12
Adjacent = 5
5 / 12
Alejandra gets paid 9 dollars per hour she works. If h is the total number of hours Alejandra works, which expression could be used to find the total pay, in dollars, that she receives?
Answer:
If she worked 24 hours then she would get 216 cash in dollars.
Step-by-step explanation:
All you would have to do is multiply 9 by 24 and you would get 216 dollars. and i thin this is correct.
Lines which never meet or cross each other are called ___________
Answer:
These are called Parallel Lines
Answer:
Parallel lines never intersect
Step-by-step explanation:
The distance between the parallel lines remains constant.
Write a possible recursive rule and then find a7 for { 7,12,17,22,27}
Start from 7, then add 5 each time.
a7 is 7 plus 30, or 37.
PLEASE ANSWER IF YOU CAN!!!
show your work if can too:(
Answer:
The larger pyramid is 5,376 inches^3 greater
Step-by-step explanation:
To calculate how many inch greater the volume of the larger pyramid compared to the volume of the new smaller pyramid, what we do is to calculate the volume of both.
Mathematically, the volume of a square pyramid = area of base * height of pyramid
For the larger pyramid, length of base is 16 inches and height is 24 inches;
The area of base is L^2 since it is a square; 16 * 16 = 256 inches^2
The volume is thus 256 * 24 = 6,144 inches^3
For the smaller pyramid also, we use the same approach but this time, length of base is 8 inches and height is 12 inches
Area of base = 8 * 8 = 64 inches^2
Volume = 64 * 12 = 768 inches^3
Now how much more is the larger pyramid, that would be the volume of the larger pyramid- volume of the smaller pyramid = 6144 - 768 = 5,376 inches^3
Select the decimal that is equivalent to
41/99
Answer:
0.414141...
Step-by-step explanation:
Use a calculator to divide 41 by 99. The answer is a non-terminating, repeating decimal.
41/99 = 0.414141...
Which function is shown in the graph below?
7. Arby's offers college students a 10% discount. Jason and his friends went there for
lunch and bought food for $33.70. How much did it cost after they received the 10%
student discount?
Answer:
30.33
Step-by-step explanation:
33.70 x .10= 3.37 (discount)
33.70 - 3.37= 30.33
Answer the question.
Answer:
by putting it in the calculator, the answer is the first option.
HELP With this math problem plzz
M<2 is 110° and m<1 is 70° bc it’s supplementary angles so 180-110=70°
Step-by-step explanation:
Please help find the value of the trig function indicated
A snowball has a radius of 7cm. What is the volume of the snowball?
Answer:
The volume is 1436.8[tex]in^2[/tex] .
Step-by-step explanation:
-To find the volume of a sphere, you need the formula:
[tex]V = \frac{4}{3} \pi r^3[/tex]
-Use the radius for the formula:
[tex]V = \frac{4}{3} \pi 7^3[/tex]
-Then, you solve:
[tex]V = \frac{4}{3} \pi 7^3[/tex]
[tex]V = \frac{4}{3}[/tex] × [tex]\pi[/tex] × [tex]7^3[/tex]
[tex]V = \frac{4}{3} \pi[/tex] × [tex]343[/tex]
[tex]V = \frac{1372}{3} \pi = 1436.755[/tex]
-Round the answer to the nearest tenth:
[tex]V = 1436.8[/tex]
So, therefore the volume is 1436.8[tex]in^2[/tex] .
Answer:
The volume is 1436.8 .
Step-by-step explanation:
-To find the volume of a sphere, you need the formula:
-Use the radius for the formula:
-Then, you solve:
× ×
×
-Round the answer to the nearest tenth:
So, therefore the volume is 1436.8
please help asap i do not like slopes
Your answer is A. (0,0)
The equation of the line is in the form y = mx + b, where m is the slope and b is the y-intercept, which is where the line cuts the y-axis.
In the line y = 4x, the ‘m’ would be 4 and the ‘+ b’ would be 0, which means that the line cuts the y-axis when y = 0.
There are only 2 answer options that have y = 0, A (0, 0) and D (4, 0). To find out which is correct, we can substitute in y = 0 into the equation y = 4x to see what the x-value would be:
y = 4x
0 = 4x
0 = x
Therefore the answer is A.
I hope this helps!
Think of y = 4x as y = 4x + 0.
If you don't have anything you're adding to
adding or subtracting to then it's 0.
Now our equation is in slope-intercept form.
We can write this as the ordered pair (0, 0).
Calculate sin to two decimal places.
The value of the trigonometry function sin θ in the triangle would be, 0.34.
Used the concept of trigonometry function,
sin x = Opposite / Base
Given that,
A triangle with angles is shown in the figure.
Since we know that,
sin x = Opposite / Base
Here, for the angle θ;
Opposite = 7.78
Base = 22.6
So, we get;
sin x = Opposite / Base
sin θ = 7.78 / 22.6
sin θ = 0.34
Thus, The value of the trigonometry function sin θ would be, 0.34.
To learn more about the triangle visit;
brainly.com/question/1058720
#SPJ4
in a bag containing 29 marbles, 5 of the marbles are red and 2 are green. What is the probability of randomly selecting a marble which is neither red nor green.
What is the probability of the complement of the union of red or green?
7/29
2/29
5/29
22/29
Answer:
Probability= 22/29
Step-by-step explanation:
Total no. of marbles= 29
No of red marbles=5
No of green marbles= 2
No of marbles which are neither red nor green= 29-(5+2)
=29-7
=22 marbles
Probability= 22/29
The probability of randomly selecting a marble that is neither red nor green will be 22/29. Then the correct option is D.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.
Then the probability is given as,
P = (Favorable event) / (Total event)
In a bag containing 29 marbles, 5 of the marbles are red and 2 are green.
Then the favorable event is given as,
Favorable event = 29 - 2 - 5
Favorable event = 22
Then the probability is given as,
P = 22 / 29
The probability of randomly selecting a marble that is neither red nor green will be 22/29. Then the correct option is D.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
Vanessa purchased a smart TV for
$1,500 on a payment plan. Four
months after purchasing the TV, her
balance was $1,200. Seven months
after purchasing the TV, her
balance was $975. Find an equation
that models the balance y after t
months. How many months will it
take her to pay off the TV loan?
Answer:
y = 1500 - 75t
It will take her 20 months to pay off her TV loan.
Step-by-step explanation:
Vanessa purchased a smart TV for $1500 on a payment plan. After 4 months of purchasing the TV her balance was $1200 . 7 month her balance was $975. The amount she pays every month can be calculated as follows. After 4 months she paid 1500 - 1200 = $300. Her balance is $1200. Divide 300 by 4 to get $75 per month as the amount she pays every month.
1500 - 975 = 525/7 = $75 per month.
The equation to model the balance y after t months can be expressed below.
y = 1500 - 75t
where
y = balance
t = number of months
Her balance should be $0 for her to be able to pay off the TV loan.
y = 0
-1500 = -75t
divide both sides by -75
t = -1500/-75
t = 20
It will take her 20 months to pay off her TV loan.
What does the value 3 represent in this exponential equation?
Answer:
The base
Step-by-step explanation:
Just did it
Answer:
the base (b)
Step-by-step explanation:
edg. 2021
what degrees do you need to rotate a fan?
Answer:
360°
Step-by-step explanation:
degrees are needed
Please answer CORRECTLY !!! Will mark brainliest !!!!
Answer:
70
Step-by-step explanation:
Answer:
The answer is 70.
Step-by-step explanation:
In order to find the value of k(-5), you have to substitute the value of x into the function k :
[tex]k(x) = 6x + 100[/tex]
Let x = -5,
[tex]k ( - 5) = 6( - 5) + 100[/tex]
[tex]k( - 5) = - 30 + 100[/tex]
[tex]k( - 5) = 70[/tex]
Which is an equation for the circle?
Answer:
Option D.
Step-by-step explanation:
From the given graph,
Center of the circle = (-4, -2)
This circle passes through a point (0, -3),
Radius of the circle = Distance between center and point (0, -3)
r = [tex]\sqrt{(0+4)^{2}+(-3+2)^{2}}[/tex]
r = [tex]\sqrt{17}[/tex]
Standard equation of the circle is,
(x - h)² + (y - k)² = r²
Where (h, k) is the center and r is the radius of the circle.
By putting the values in this equation,
(x + 4)² + (y + 2)² = (√17)²
(x + 4)² + (y + 2)² = 17
Option D. will be the answer.
In triangle ABC, angle A=50°, angle C=65°. Point F is on AC such that, BF is perpendicular to AC. D is a point on BF (extended) such that AD=AB. E is a point CD such that, AE is perpendicular to CD. If BC=12, what is the length of EF?
Answer:
The length of EF is 5.29
Step-by-step explanation:
If BC = 12 then;
FB = 12 × sin65 = 10.876
BA = FB/(sin50) = 10.876/(sin50) = 14.2
BD = AB (Sides of isosceles triangle) = 14.2
∴ DF = BD + FB = 10.876 + 14.2 = 25.07
∠F C D = tan⁻¹(D F/F C) = tan⁻¹(25.07/(12×cos65)) = 78.6
∠F A D = tan⁻¹(D F/A F) = tan⁻¹(25.07/(14.2×cos50)) = 70
∴ ∠D = 180 - (78.6° + 70°) = 31.4°
AE = AD × sin31.4° = 2×AB×cos(70° - 50°) × sin31.4
∴ AE = 2×14.2×cos(20°) × sin31.4 = 13.92
EC = AC × cos78.6° = (AB×cos50 + BC×cos65)×cos78.6° = 2.815
Therefore, from cosine rule, a² = b² + c² - 2·b·c × cos(A)
Hence, we have;
EF² = EC² + FC² - 2 × EC × FC ×cos∠FCD (Cosine rule)
That is, EF² = 2.815² + (12×cos65)² - 2 × 2.815× (12×cos65) ×cos78.6°
EF² = 27.98
∴EF = √27.98 = 5.29.
Answer:
The length of EF is 5.29
Step-by-step explanation:
The volume of a cylinder is 794.3 cm3. The height of a cylinder is 7cm. Calculate the radius of the cylinder to the nearest tenth of a centimeter.
Answer:
6.0
Step-by-step explanation:
Find the volume. Round to 1 decimal place
Answer:
380.8cm³
Step-by-step explanation:
Volume of a Cylinder is: [tex]V=\pi r^2h[/tex]
'r' is the radius.
'h' is the height.
We are given a height of 9.9 cm and a diameter of 7cm.
The radius is half the diameter.
Divide 7 by 2:
[tex]7/2=3.5[/tex]
The radius is 3.5 cm.
Solve for The Volume (Using 3.14 for pi):
[tex]V=3.14*3.5^2*9.9\\\rightarrow3.5^2=12.25\\V=3.14 * 12.25 * 9.9\\V=38.465 * 9.9\\\boxed {V=380.8035}[/tex]
380.8035 ≈ 380.8
The volume of the cylinder should be 380.8cm³.