during a basketball game, your team scored three times as many 2-point field goals than it did 3-point field goals, and scored a total of 90 points. How many field goals did your team score? (there were no 1-point free throws)
Answer:
Ok, let's define the notation:
A is the number of 2-point field goals that your team scored.
B is the number of 3-point field goals that your team scored:
We know that:
" your team scored three times as many 2-point field goals than it did 3-point field goals,"
This can be written as:
A = 3*B
" And scored a total of 90 points."
A*2 + B*3 = 90
Then we have a system of two equations and two variables:
A = 3*B
A*2 + B*3 = 90
Now we can replace the first equation into the second one and get:
(3*B)*2 + B*3 = 90
B*6 + B*3 = 90
B*9 = 90
B = 90/9 = 10
And we know that:
A = 3*B
A = 3*10 = 30
Then your team scored 30 2-point field goals and 10 3-point field goals (a total of 40 if you combine them)
Write the domain as an inequality
Answer:
[tex]x\leq 0[/tex]
Step-by-step explanation:
The domain is the span of x-values covered by the graph.
From the graph, we can see that the x-values covered by the graph is all values to the left of zero including zero.
Therefore, the domain is all x-values less than or equal to 0:
[tex]x\leq 0[/tex]
Further notes:
In interval notation, this is:
[tex](-\infty,0][/tex]
Answer:
[tex]\huge \boxed{x\geq 0}[/tex]
Step-by-step explanation:
The domain is all possible values for x or where the x values covers the graph.
All the values for x are less or equal to 0 as shown in the graph.
This can be written as an inequality:
[tex]x\geq 0[/tex]
Making a round trip from Fairview to Cartersville, a distance of 20 miles, a pilot faces 30 mph head wind one way and 30 mph tail wind on the return trip. The return trip takes 45 minutes less than the outbound journey. Find the speed of the plane in still air
Answer:
50mph
Step-by-step explanation:
Given the following :
Distance (d) of journey = 20 miles
Wind speed = 30mph head wind in one way, 30mph tail wind in the other direction
Return trip = 45 minutes (45/60 = 0.75 hour) less Than the outbound journey
Speed of plane in still air
Outbound trip :
Velocity = Distance / time
Time = distance / velocity
Velocity = (v - 30) due to head wind
Return Velocity (V +30) due to tail wind
Outbound time = return distance
20 / (v - 30) = 20 / (v +30) + 0.75
20v + 600 = 20v + 0.75v^2 + 22.5v - 600-22.5v-675
600 = 0.75v^2 - 1275
0.75v^2 = 1875
v^2 = 1875/ 0.75
v^2 = 2500
v = sqrt(2500)
v = 50mph
Need help ASAP!
Should be simple geometry but I’m brainless
x = 6 and KL = 32
First off, you're not brainless, your brain needs practice that's all.
Since L is the midpoint of the line KM, that means KL = LM
KL [tex]= 5x + 2[/tex]
LM [tex]= 9x - 22[/tex]
KL = LM
[tex]5x+2=9x-22\\5x=9x-24\\-4x=-24\\x=\frac{-24}{-4} \\x=6[/tex]
KL [tex]= 5x + 2[/tex], substitute [tex]x[/tex]:
KL [tex]=5(6)+2[/tex]
KL [tex]= 30 + 2[/tex]
KL [tex]= 32[/tex]
let's also find LM just for fun
LM [tex]= 9x-22[/tex], substitute [tex]x[/tex] again:
LM [tex]= 9(6) -22[/tex]
LM [tex]=54-22[/tex]
LM [tex]=32[/tex]
this proves that KL = LM
Brown Squirrels can carry 2 acorns at a time. Gray Squirrels can carry 3 acorns at a time. Black Squirrels can carry 5 acorns at a time. Suppose the three squirrels all wanted to store acorns for the winter. Depending on how motivated each squirrel was they would end up with different amounts. For instance, suppose the Brown Squirrel took 4 trips, the Gray Squirrel took 2 trips and the Black Squirrel took 2 trips. The Brown Squirrel would end up with 8 acorns, the Gray Squirrel would have 6 acorns and the Black Squirrel would have 10 . Between them they took every one of the 24 acorns. How Many Ways "Show Them" can the squirrels get all 24 acorns. (One can get all of them, and the others get none
Answer:
There are five ways in which the squirrels can get all 24 acorns.
Step-by-step explanation:
The information provided is:
Brown Squirrels can carry 2 acorns at a time.Gray Squirrels can carry 3 acorns at a time. Black Squirrels can carry 5 acorns at a time. The three squirrels all wanted to store acorns for the winter. Between them they took every one of the 24 acorns.Each squirrel makes at least one trip.
Consider the table for the total number of trips the squirrels make get all 24 acorns:
Brown (2) Gray (3) Black (5) Total no. of acorns
1 4 2 (1 × 2) + (4 × 3) + (2 × 5) = 24
2 5 1 (2 × 2) + (5 × 3) + (1 × 5) = 24
3 1 3 (3 × 2) + (1 × 3) + (3 × 5) = 24
4 2 2 (4 × 2) + (2 × 3) + (2 × 5) = 24
5 3 1 (5 × 2) + (3 × 3) + (1 × 5) = 24
Thus, there are five ways in which the squirrels can get all 24 acorns.
16 2/3 % as a fraction
Answer: it will be 1/6
Step-by-step explanation:
Chocolate ganache is made from chocolate and cream in a3:2 ratio, respectively. If one batch of ganache requires 240 grams of chocolate, how many grams of cream is required?
Answer:
160
Step-by-step explanation:
240/3= 80
80*2= 160
For the equation, 2x + 6 = 3x - 10, what is the solution
Answer: x=16
Step-by-step explanation:
[tex]2x+6=3x-10[/tex]
Subtract 6 on both sides
[tex]2x+6-6=3x-10-6[/tex]
[tex]2x=3x-16[/tex]
Subtract 3x on both sides
[tex]2x-3x=3x-16-3x[/tex]
[tex]-x=-16[/tex]
Divide -1 on both sides
[tex]\frac{-x}{-1}=\frac{-16}{-1}[/tex]
[tex]x=16[/tex]
what is 80.2 in standard form??
Step-by-step explanation:
8.02 X 10².............
is 14 times 10 to the power of 8 in scientific notation?
Answer: NO
Step-by-step explanation:
14 × 10^8 is not in scientific notation
scientific notation: a×10^b, where should be 0<a<10
As seen above, 14 is greater than 0, but also greater than 10, thus, it is not in scientific notation.
------------------
EXTRA: How to change it into proper scientific notation
To change it into scientific notation, we need to divide 14 by 10, do get 1.4. (or just move the decimal point to the left by 1 unit)
1.4 is within the range of 0-10.
1.4 × 10^9 (remember, we just divided 14 by 10, and so we need to add on the exponent by 1)
Hope this helps!! :)
Please let me know if you have any question
What is 2/3 divided by 6/5
PLSSSS help me!! will give branliest to whoever answers with work! Jake wants to buy a skateboard but does not know if you have enough money. The price of the skateboard is $85 and the sales tax is 6%. what would be the total cost of the skateboard???
if a cone and a cylinder have the same radius and the perpendicular height of the cone is twice that of a cylinder find the ratio of the volume
Answer:
2/3
Step-by-step explanation:
h = height of the cone
Vcone = πr²h/3
H = h/2 = height of the cylinder
Vcylinder = πr²H = πr²h/2
Vcone/Vcylinder = (πr²h/3)/(πr²h/2)
= πr²h/3 x 2/πr²h
= 2/3
Answer:
2/3
Step-by-step explanation:
h = height of the cone
Vcone = πr²h/3
H = h/2 = height of the cylinder
Vcylinder = πr²H = πr²h/2
Vcone/Vcylinder = (πr²h/3)/(πr²h/2)
= πr²h/3 x 2/πr²h
= 2/3
Please help me solve this question,
Answer:
D is true
Step-by-step explanation:
count AB then Count BC and add them together
and then it equals the same amount as AC
simplify 5to the negative power of 3
Answer:
1/5 to to the third makes it 1/125
Step-by-step explanation:
Answer:
0.008
Step-by-step explanation:
5-3 = 1 ÷ 5 ÷ 5 ÷ 5 = 0.008
or could be calculated like this
1 ÷ (5 × 5 × 5) = 1/53 = 1/125 = 0.008
A cyclist rides his bike at a rate of 15 miles per hour. what is this rate in miles per minute? how many miles will the cyclist travel in 20 minutes? do not round your answers.
Answer:
15 miles/hour = 0.25 miles/minute
The cyclist would have traveled 5 miles in 20 minutes.
Step-by-step explanation:
15 miles per hour is written as
15 miles/hour
To convert 15 miles/hour to miles/minute
From 1 hour = 60 minutes
∴ 15 miles/hour = 15 miles/ 60 minutes
= (15/60) miles/minute
= 0.25 miles/minute
To calculate how many miles the cyclist will travel in 20 minutes
That is, Time, t = 20 minutes
Velocity, v = 15 miles/hour = 0.25 miles/minute
Distance, s = ??
From,
[tex]Velocity = \frac{Distance}{Time}\\[/tex]
∴[tex]Distance = Velocity[/tex] × [tex]Time[/tex]
[tex]Distance = 0.25 miles/minute[/tex] × [tex]20 minutes[/tex]
[tex]Distance = 5 miles[/tex]
Hence, The cyclist would have traveled 5 miles in 20 minutes.
15 more than ten times a number equals 60. What is the number?
Answer:
4.5
Step-by-step explanation:
Let the number be x, then:
10x + 15 = 6010x = 60 - 1510x = 45x = 45/10x = 4.5The number is 4.5
Answer:
4.5
Step-by-step explanation:
let the number be x , then
10x + 15 = 60 ( subtract 15 from both sides )
10x = 45 ( divide both sides by 10 )
x = 4.5
The number is 4.5
Find the greatest common factor (GCF)
Solve the linear equation. X + 5 = -2
Answer:
[tex]x=-7[/tex]
Step-by-step explanation:
So we have the equation:
[tex]x+5=-2[/tex]
To solve, subtract 5 from both sides. This is the subtraction property of equality:
[tex](x+5)-5=(-2)-5[/tex]
The left side cancels:
[tex]x=(-2)-5[/tex]
Subtract on the right.
[tex]x=-7[/tex]
So, our answer is -7.
please help –8 = c /9 c=
Hey there! I'm happy to help!
We want to get c all by itself on one side of the equation. Usually variables go on the left side, so let's flip the equation around.
c/9=-8
If we multiply c/9 by 9, the 9 will cancel out because if you divide by 9 and then multiply by 9 it just equals 1. We can do this to isolate the c, but whatever you do to one side of the equation, you have to do to the other. So, we multiply both sides by 9.
c/9×9=-8×9
c=-72
Have a wonderful day! :D
Answer:
c = -72
Step-by-step explanation:
Multiply each side by 9, so it now looks like this: -72 = cI hope this helps!
Darnell is 5 times 3 less then Kortez age. Darnell is 40 how old is Kortez?
Simplify the following. (the answer is not 0)
4[5+ 206-2 * 3)] - 5[4(16= 4-12 = 4) - 4 + 2]
Select the correct response:
30
15
50
10
Answer:10
Step-by-step explanation:
4[5+2(6-6)]-5[4(4-3)-4+2]=20-5[4-2]=10
Answer:
10
Step-by-step explanation:
4[5+2(6-2*3)]-5[4(16÷4-12÷4)-4+2]
4[5+2(6-6)]-5[4(4-12÷4)-4+2]
4[5+2(6-6)]-5[4(4-3)-4+2]
4[5+2(0)]-5[4(1)-4+2]
4[5+0]-5[4-4+2]
4[5]-5[0+2]
4[5]-5[2]
20-5[2]
20-10
10
You are redecorating your bedroom and want to place two posters on the wall. Your wall is 12 feet, 6 inches long and each poster is 27 inches across. You want to make sure that the distance in between posters and the distance from each poster to the walls is equal. Your brother thinks you should place the posters about 30 inches from the wall. Is your brother's estimate reasonable?
Answer:
1 ft = 12 in
14 ft = 14*12 in
14 ft = 168 in
Now we can write the following equation:
3x + 2*42 = 168 + 3
........
........
x = 29 in
The poster should be placed 29 inches from the edge of the wall.
I need to know quick so i would rly apriciate help, if you do a answer and the work ill give u a brainliest!!!
Answer:
6
Step-by-step explanation:
Let the two integers be a and b.
The difference of them is 26. Thus:
[tex]a-b=26[/tex]
One of them (let's use a) is 2 more than 5 times the other. Thus:
[tex]a=2+5b[/tex]
Substitute:
[tex]a-b=26\\(2+5b)-b=26[/tex]
Combine like terms:
[tex]4b+2=26[/tex]
Subtract 2 from both sides:
[tex]4b=24[/tex]
Divide by 4:
[tex]b=6[/tex]
And the second number is:
[tex]a-b=26\\a-6=26[/tex]
Add 6 to both sides:
[tex]a=32[/tex]
So, our two numbers are 32 and 6
And the smaller integer is 6.
And we're done :)
Answer:
The smaller intrger is:
6
Step-by-step explanation:
a = 5b + 2
a - b = 26
then:
(5b+2) - b = 26
4b = 26 - 2
4b = 24
b = 24/4
b = 6
a = 5b + 2
a = 5*6 + 2
a = 30 + 2
a = 32
Check:
32-6 = 16
32 = 5*6 + 2
32 = 30 + 2
6<32
the smaller integer is:
6
What are the 2 inequality?
(-r^2 + 8pr - p) - (-12r^2 - 2pr + 8p)
Answer:
11r^2+10pr-9p i think
Step-by-step explanation:
On simplifying the expression we get 11r²+10pr-9p
What are like and unlike terms in an expression?In Algebra, the like terms are defined as the terms that contain the same variable which is raised to the same power. In algebraic like terms, only the numerical coefficients can vary. We can combine the like terms to simplify the algebraic expressions.
Given here, -r²+8pr-p-(-12r²-2pr+9p) = -r²+12r²+8pr+2pr-10p
=11r²+10pr-9p
Hence, On simplifying the expression we get 11r²+10pr-9p
Learn more about like and unlike terms here:
https://brainly.com/question/29078851
#SPJ2
Find AB.
69
20
19
Is a quizizz
Answer:
imma guess 19 but im not sure
Can someone help me on this I’m stuck pleaseee anyone
Answer:
1a. 0 pounds of grapes costs 0 dollars.
1b. 1 pound of grapes costs 3 dollars.
2a. There are 0 batteries in 0 packs of batteries.
2b. There are 10 batteries in 1 pack of batteries.
A friut stand sells watermelons during the summer. The revenue for selling x watermelons is given by f(x)=2.5x. The team's profit is $25 more than 60% of the revenue for selling x watermelons. Write a funcction g to model the profit. Then find the profit for selling 44 watermelons.
Answer:
$91
Step-by-step explanation:
f(x) = 2.5 x
$25 more would + $25 to the function
60% = .6
Revenue is f(x) = 2.5x which we have to multiply by the .6
g(x) = $25 + .6 (2.5 x)
If we have 44 watermelons then we plug in 44 for x
x = 44
g(x) = $25 + .6 (2.5*44)
g(x) = $25 + .6 (110)
g(x) = 25 + 66
g(x) = $91
The profit is $91
Find the Area of the figure below, composed of a rectangle and a semicircle. Round to
the nearest tenths place.
13
8
Answer:
Total area of the composite figure = 129.1 square units
Step-by-step explanation:
Area of the figure attached = Area of semicircle + Area of the rectangle
Since area of the semicircle = [tex]\frac{1}{2}\pi r^{2}[/tex]
where 'r' = radius of the circle
Area of the semicircle = [tex]\frac{1}{2}\pi (4)^{2}[/tex]
= 8π
= 25.1 square units
Area of the rectangle = Length × width
= 13 × 8
= 104 square units
Total area of the composite figure = 25.1 + 104
= 129.1 square units