1. A basketball player made 12 out of 15 free throws she attempted. She wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85% (a) Write an equation to represent this situation. (b) Solve the equation. How many consecutive free throws would she have to make to raise her percent to 85%?
Answer:
She would need to make 5 consecutive free successful throws
Step-by-step explanation:
Equations
A basketball player wants to improve his percent of successful throws to 85%.
She currently has made 12 out of 15 free throws, which gives a success percentage of 12/15*100=80%
So, she needs a number of free consecutive free throws to increase that number to the desired target.
The percentage of success can be calculated as:
[tex]\displaystyle P=\frac{\text{successful throws}}{\text{total throws}}*100[/tex]
Let's assume x is the number of required consecutive successful throws. Since she has already thrown 15 times, out of which has had 12 successful throws, now she will have 15+x total throws and 12+x successes, thus the new percentage is:
[tex]\displaystyle P=\frac{12+x}{15+x}*100[/tex]
And this percentage must be equal to 85%, thus:
[tex]\displaystyle \frac{12+x}{15+x}*100=85[/tex]
a) The equation to represent the situation is:
[tex]\mathbf{\displaystyle \frac{12+x}{15+x}*100=85}[/tex]
b) Let's solve it.
Multiply by 15+x:
[tex]\displaystyle (12+x)*100=85(15+x)[/tex]
Dividing by 5:
[tex]\displaystyle (12+x)*20=17(15+x)[/tex]
Operating:
[tex]\displaystyle 240+20x=255+17x[/tex]
Subtracting 17x and 240:
[tex]\displaystyle 20x-17x=255-240[/tex]
Simplifying:
[tex]\displaystyle 3x=15[/tex]
Dividing by 3:
x = 5
She would need to make 5 consecutive free successful throws
The number of throws is an illustration of proportions.
The number of free throws to raise her percent to 85% is 5
(a) The equation
The proportion is given as: 12 out of 15.
Let the number of throws be n.
So, the proportion would be:
[tex]\mathbf{Proportion = \frac{12 + n}{15 + n}}[/tex]
To make 85% success, then the proportion must equal 85%.
So, we have:
[tex]\mathbf{\frac{12 + n}{15 + n} = 85\%}[/tex]
(b) The solution to the equation
In (a), we have:
[tex]\mathbf{\frac{12 + n}{15 + n} = 85\%}[/tex]
Express 85% as decimal
[tex]\mathbf{\frac{12 + n}{15 + n} = 0.85}[/tex]
Cross multiply
[tex]\mathbf{12 + n = 0.85(15 + n)}[/tex]
[tex]\mathbf{12 + n = 12.75 + 0.85n}[/tex]
Collect like terms
[tex]\mathbf{n -0.85n= 12.75 -12 }[/tex]
[tex]\mathbf{0.15n= 0.75}[/tex]
Divide both sides by 0.15
[tex]\mathbf{n= 5}[/tex]
Hence, the number of free throws to raise her percent to 85% is 5
Read more about proportions at:
https://brainly.com/question/21126582
Write a slope-intercept equation of the line that passes through the points (4,11) and (6,8).
IN ADDITION TO THE EQUATION, YOU MUST IDENTIFY THE SLOPE AND Y-INTERCEPT OF YOUR EQUATION TO GET FULL CREDIT.
Answer:
y=[tex]\frac{3}{-2}[/tex]x +17
Step-by-step explanation:
[tex]\frac{11-8}{4-6}[/tex]=[tex]\frac{3}{-2}[/tex]=slope
11=[tex]\frac{3}{-2}[/tex] *4 + C
11=-6 + C
17=C=Y-intercept
3 QUESTIONS !
1) I picked a number between 1 and 20. I multiplied my number by 6, added 8, divided it by 4, and then subtracted 5. This resulted in the number 3. What was my number?
2) I selected a number between 40 and 50. I divided my number by 9, subtracted 8, added 6 and then multiplied by 7. This resulted the number 21. What was my original number?
1) I picked a number between 100 and 110. I subtracted 4, added 11, multiplied it by 2, divided it by 6, and then subtracted 8. This resulted in the number 29. What was my original number?
Answer:
1) 4
2) 45
3) 104
Step-by-step explanation:
1)
let x be your number.
((6x+8)/4)-5 = 3
add 5
(6x+8)/4=8
multiply by 4 to get rid of the denominator
6x+8=32
subtract 8
6x=24
divide by 6
x=4
2) Same type. (this time I won't explain every step)
let x be your number
((x/9)-8+6)*7 =21
(x/9)-8+6=3
(x/9)-2=3
x/9 = 5
x=45
3) Same type... Again
let x be your number
(((x-4+11)*2)/6)-8 = 29
((x-4+11)*2)/6=37
(x-4+11)*2 = 222
x+7=111
x= 104
The population of bobcats in northern Arizona since 2008 can be modeled using the function b(t) = –0.32t2 + 2.7t + 253. What does t represent? What is the domain for this function? Which range values would not make sense for this function? Would the graph be continuous or discrete, and why?
Answer:
See below.
Step-by-step explanation:
t represents time (probably years).
The population of bobcats can't be negative, so negative values in the range do not make sense.
The function is continuous, but you're probably only looking at discrete values.
Answer:
1.the number of years since 2008
2.t values greater than or equal to 0
3.negative values
4.discrete,because number of bobcats cannot be broken to fractional parts
Step-by-step explanation:
Just got them all correct on Edge
What are the solutions to this quadratic equation?
-2x^2+x+4=0
Answer:
Well I got [tex]\frac{1}{4} plus or minus \sqrt{33}[/tex]
Step-by-step explanation:
1/4±[tex]\sqrt{33}[/tex]
Answer:
The person above is correct this is just confirmation
Step-by-step explanation:
consider the function f(x) =4x-5. What is the domain value that correspons to an output of f(x) = 11
Find the slope of the line without graphing using the 2 points below.
(3 , -10) & (4 , -21)
m = _______
Answer: m=-11
Step-by-step explanation:
To find the slope of the line, you want to use formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. Since we are given two points, we can directly plug them in and solve.
[tex]m=\frac{-21-(-10)}{4-3} =\frac{-11}{1} =-11[/tex]
Now, we know that the slope is -11.
The First-person to get correct will get BRAINLESIT
I think of a number, multiply it by four, and subtract three. I get eleven. a) Using the statement above, form an equation. Use the letter 'x' for the unknown number.
b) Solve the equation
I need to find out how many kilometers mikalea can run in 1 hour
Answer:
I think its 10km in 1 hour.
Step-by-step explanation:
mikaela is running 5mg in 0.5 hours, but your looking for an 1 hour so you double it.
If jim had 8 apples and you took 5 away and gave him two back how many apples do you have?
write 2 differnt inequalities that can be solved by adding 2 to each side and dividing each side by -12
Quick!!
Answer:
-12x - 2 < -62
-12x - 2 > 34
Step-by-step explanation:
1. Start with
x > 5
Multiply both sides by -12.
-12x < -60
Subtract 2 from both sides.
-12x - 2 < -62
2. Start with
x < -3
Multiply both sides by -12.
-12x > 36
Subtract 2 from both sides.
-12x - 2 > 34
Answer:
-12x - 2 < -62
-12x - 2 > 34
slope word problems for slope
Answer:
number 10 (5/6)
Step-by-step explanation:
hope this helped ^^
WILL GIVE BRAINLIEST The knitting club sold 40 scarves and hats at a winter festival and made $700 from
the sales. They charged $18 for each scarf and $14 for each hat.
If x represents the number of scarves sold and y represents the number of hats
sold, how many scarves and hats did the knitting club sell at the winter festival?
I NEED HOW MANY SCARVES AND HATS WERE SOLD NOT THE SOLUTION
Answer:
s+h=40 and 18s+14h=700
Step-by-step explanation:
lets say
s= number of scarves sold
and
h=number of hats sold
since the total of hats/scarves equals 40 then that means that scarves+hats sold equals 40 so
s+h=40
the second constraint it found similarly,
scarves and hats are being sold for 18$ and 14$ respectively and together they need to equal 700$ so you plug it into a similar equal as before
18s+14h=700
What’s the value for y?
what is 2710 divided by 759?
Answer:
3.57048748 or (rounded) 3.57 or 3.5
Step-by-step explanation:
2710 ÷ 759 = ?
2710
÷ 759
3.57048748
(Rounded) = 3.57 or 3.5
Hopefully this helps! Sorry if wrong. You are loved and you are beautiful/handsome!
-Bee
O triplo de um número inteiro X, pode ser representado por?
Answer:
hola
Step-by-step explanation:
Suzie scored 75% on her assignment. If she got 15 questions correct, how many total questions were on the assignment?
Answer:
20 Questions Total
Step-by-step explanation:
15 divided by 20 = .75 = 75%
Answer:
2
Step-by-step explanation:
What is the answer to 2x^2+9x-35
Answer:
There is a graph of the algebraic equation as well as the simplified form of the problem, hope this helps.
Step-by-step explanation:
May I have brainliest please? :)
How to do this question plz answer me
Answer:
x = 6 cm
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 12 and h = 4, then
A = [tex]\frac{1}{2}[/tex] × 12 × 4 = 6 × 4 = 24 cm²
Then area of parallelogram = 3 × 24 = 72 cm²
The area (A) of a parallelogram is calculated as
A = bh ( b is the width and h the height )
Here b = x and h = 12, thus
12x = 72 ( divide both sides by 12 )
x = 6
The width of the parallelogram is 6 cm
Answer:
6=width
Step-by-step explanation:
Ok so when looking at the question it say that the area of the paraellagram is three times the area of the trianlgle.
-to find the area of a triangle you must use the equation A=1/2LxW would be 24
now once you have 24 you times it by 3 which is 72 (you do this because in the problem it says the paraellagram's area is three times the triangles area so 72 is the paraellagram's area.
now you divide 72 by the only other measurement given to you by the paraellagram which is 12 the length
after dividing the 2 you should get 6 which is the answer
you do this because by dividing 72 by 12 you get the other amount needed to make 72 which was the width
A=1/2(4)x12=24
24x3=7272/12=6
Solve the following system of equations.
6x + y = -3
6x + 5y = 9
please helpp
Answer:
x=3
y=-1
Step-by-step explanation:
Rate me brainliest pls
how do I compare y intercepts and rates of change.
select the correct answer
Answer:
c
Step-by-step explanation:
A line passes through point (8, -2) and has a slope of -5/4
Write an equation in Ax+By= C form for this line.
Use integers for A, B, and C.
show work on how you got it
Answer:
4y+5x=32
Use slope intercept form, then change to Ax+By= C form.
In isosceles triangle ABC the segment BD is the median to base line AC. Find BD if the perimeter of the triangle is 50m and the perimeter of ABD is 40 m
Answer:
BD = 15 m
Step-by-step explanation:
Mathematically, we can find the perimeter of a triangle by adding all of the sides
Mathematically, the line from the top vertix of an isosceles triangle is perpendicular to the base line
So what this mean is that it splits the base line into 2 equal parts
So, in this case, since AC is base;
AD = CD
Please check the attachment for diagrammatic representation
So from the diagram;
25-x + x + BD = 40
25 + BD = 40
BD = 40-25
BD = 15 m
What is 111/6 and 4 1/3 as an improper fractions?
Answer:
Step-by-step explanation:
111/6 = 37/2
4 1/3 = 13/3
Tyler swims at a constant speed, 6 meters every 4 seconds. How long does it take him to swim 114 meters?
Answer:
91.2 seconds
:)
Answer:
76 seconds (1:16 one hour and 16 minutes)
Step-by-step explanation:
You take the distance that he has to travel (114m) and you divide it by the distance you're given that he is moving at every time (6m). this gives us 19. Then you take that and multiply it by how many seconds it takes him to move the given 6m (4s), which gives us an answer of 76 seconds
At the end of the harvest season, Omar wonders if it is time to cover the garden with a tarp. He understands that as the temperature decreases, moisture in the air condenses into dew which freezes at 0 degrees Celsius and may damage the plants in the garden.
Answer:
no clue im stuck on it to
Step-by-step explanation:
Answer:
No Omar does not have to put the blanket
Step-by-step explanation:
The answer is No ,because since Omar only covers the plant when its below 0 , And when the temperature is 5 degrees Celsius at 4:00 pm and the temperature is predicted to decrease 0.5 degrees Celsius every two hours until 4:00 am. So 6 times 0.5 =3 so 5 - 3 = 2
Show work
4:00 pm Fact : And very two hrs 0.5 degrees .
5:00 pm 1
6:00 pm 2 = 0.5
7:00 pm 1
8:00 pm 2 = 0.5
9:00 pm 1
10:00 pm 2 =0.5
11:00 pm 1
12:00 pm 2 =0.5
1 :00 Am 1
2: 00 Am 2 =0.5
3:00 Am 1
4:00 Am 2= 0.5
7 times 10 to the -7 power
Answer:
0.0000007 as a regular notation
or 7x10^-7 as scientific notation
what expression will be equivalent to m+m+m+m+m+m+k+k
Answer:
Possible answer:
6m + 2k
Step-by-step explanation:
given:
m+m+m+m+m+m+k+k
we can attempt to simplify this expression by factorization:
(m+m+m+m+m+m)+(k+k) factorize m's and k's
= m(1+1+1+1+1+1) + k(1+1)
= 6m + 2k
which would be an appropriate first step in solving the equation? 2(x+3)-5=9
Answer:
Distributing
Step-by-step explanation:
Order of opersations says to do parenthesis first so....
2(x+3)-5=9
we would distribute 2
2x+6-5=9
Answer: x=4
and wydm