Answer:
d) f(-3)=0
Step-by-step explanation:
Given that f is equal to zero at x=-3
So, f(-3)=0
Dan, Eric, and Frank are the leading scorers on their basketball team. Over the course of their high school careers, Dan scored 6/10 of the points that the three boys scored.
If Eric scored 7/10 of the remaining points and Frank scored 120 points, how many points did Dan score?
40 points
280 points
600 points
1,000 points
Answer: 600
Step-by-step explanation:
First, let's define our variables for this problem:
D = # of points that Dan scored.
E = # of points that Eric scored.
F = #of points that Frank scored.
We know that:
"Dan scored 6/10 of the points that the three boys scored."
D = (6/10)*(D + E + F)
"Eric scored 7/10 of the remaining"
In this case, the remaining refers to (1 - (6/10))*(D + E + F) = (4/10)(D + E + F)
Then:
E = (7/10)*(4/10)*(D + E + F)
And we also know that:
F = 120
Then we have a system of 3 equations:
D = (6/10)*(D + E + F)
E = (7/10)*(4/10)*(D + E + F) = (28/100)*(D + E + F)
F = 120
To solve this, the first step is try to reduce the number of variables, then we can just replace the 3rd equation into the other two:
D = (6/10)*(D + E + 120)
E = (28/100)*(D + E + 120)
Now let's try to isolate the variable E in the second equation:
E = (28/100)*D + (28/100)*E + 36.6
E - (28/100)*E = (28/100)*D + 36.6
E( 1 - 28/100) = (28/100)*D + 36.6
E*(72/100) = (28/100)*D + 36.6
E = (100/72)*((28/100)*D + 36.6) = (28/72)*D + 46.666...
Now let's replace this in the other equation:
D = (6/10)*(D + 120 + (28/72)*D + 46.666...)
Let's solve this for D.
D = (6/10)*(D*(100/72) + 166.666) = 100 + D*(47/72)*(6/10)
D - D*(100/72)*(6/10) = 100
D*(1- (100/72)*(6/10) ) = 100
D = 100/((1- (100/72)*(6/10) ) = 600
Dan scored 600 points
Write 2^10 as a power with a base of 4
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] {2}^{10} = {2}^{2 \times 5} = {2}^{ {2}^{5} } = {4}^{5} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
How can 33/9 be expressed as a decimal
Answer:
3.6
Step-by-step explanation:
Answer:3.6
Step-by-step explanation:
I honestly don’t feel like putting down how I did it lol sorry
How to write 3 hundredths
Answer:
3/100
0.03
Step-by-step explanation:
Answer:
So If it is a decimal it is .03 and if it is a fraction 3/100
Step-by-step explanation:
So when it's asking you to find the hundredths you place your decimal point to the left 2 places and when you have a fraction you place the hundred over the number.
The amount of soda in a 16-ounce can is normally distributed with a mean of 16 ounces and a standard deviation of 0.20 ounce. What percentage of these cans will have less than 15.6 ounces
Answer: The percentage of these cans will have less than 15.6 ounces = 2.28%
Step-by-step explanation:
Let x = amount of soda in a 16-ounce can which is normally distributed.
[tex]\mu=16\text{ ounces},\ \ \ \ \sigma=0.20\text{ ounces}[/tex]
The probability that cans will have less than 15.6 ounces:
[tex]P(X<15.6)=P(\dfrac{X-\mu}{\sigma}<\dfrac{15.6-16}{0.20})\\\\=P(z<-2)=1-P(Z<2)\\\\=1-0.9772\ \ \ [\text{By p-value table}]\\\\=0.0228=2.28\%[/tex]
Hence, the percentage of these cans will have less than 15.6 ounces = 2.28%
Hello :-) just need help on solving this one
1/3(k-9)=1/3k+1/3
Answer:
There are no solutions to that.
1.
What number does 2,000 + 900 + 50 + 8 represent?
29,058
2,958
20,958
2,985
Answer:
2,958
Step-by-step explanation:
2,000+900=2,900 2,900+50=2,950 2,950+8=2,958
Find the distance between the points (9,0) and (1,6).
Answer:
7,4
Step-by-step explanation:
If you are trying to find the distance between the two points, you can subtract 1,6 from 9,0.
What is the quotient in the simplest form? A 15/64. B15/16. C 2/25. D 2/820. please help
If 2 5/8 pounds of a certain candy cost $6, how much pounds of the candy can be purchased for $12?
Answer:
5 1/4 pounds can be purchased for $12 dollars
Step-by-step explanation:
$6 x 2 = $12
So:
2 5/8 x 2 = ?
21/8 x 2/1 = 48/8 = 5 1/4
8(2w - 2) = 7(3w + 2)
Answer:
Solution
Solution
=-6
Step-by-step explanation:
should be correct.. I hope.
Mallorie has $12 in her wallet. If this is 20% of her monthly allowance, what is her monthly allowance? Use any strategy to solve.
Answer:
55
Step-by-step explanation:
WRONG ANSWER I WANT THE RIGHT ANSWER
The drama club sold $779 worth of tickets to the school play. Student tickets cost $3 apiece and tickets for everyone else cost $5 each. What equation relates the number of student tickets that were sold, s, and the number of other tickets that were sold, t, written in standard form?
Step-by-step explanation: So the answer would be 3s + 5t = 779
Answer: Students sold 253 tickets
Other tickets sold 4 tickets
Step-by-step explanation:
What is the correct order for the moon phrases.
Answer:
New moon, Waxing Crescent, First Quarter, Waxing Gibbous, Full moon, Waning Gibbous, Last Quarter, and finally Waning Crescent.
Step-by-step explanation:
I HOPE THIS HELPS.
THANK U!
-2(x + 3) = -2(x + 1) - 4
A 2
B3
C all real numbers
D no solution
Answer:
Answer is D (no solution)
Step-by-step explanation:
-2(x + 3) = -2(x + 1) - 4 --------multiply what's on the outside with everything on the inside
-2x - 6 = -2x - 2 - 4 -----collect like terms
-2x + 2x = 6 - 2 - 4 --------- add/subtract
0 = 4 - 4
0 = 0
At one gas station, gas costs $2.75 per gallon. Write an equation that relates the total
cost, , to the number of gallons of gas purchased, .
Answer:
C = 2.75 g
Step-by-step explanation:
HELP ME PLEASE IM SO MAD UGHH
Answer:
y= up 5 over 10 x+40
Step-by-step explanation:
Answer:
slope is 1/2
Step-by-step explanation:
it rises 1 and runs 2
This is due today please help im stuck on this question
-320 is the answer to your mathematical problem
Question 13 FUNDRAISER Owen is organizing a fundraiser. The proceeds will be split between a charity and the expenses from the fundraiser. Owen would like the cost of the fundraiser to be 15% of the proceeds. If the fundraiser will cost $500, how much money do they need to raise at the fundraiser?
Answer:
The amount to be raised at the fund raiser is $3,333.33
Step-by-step explanation:
Here, we want to know the amount of money needed to be raised for the fundraiser
Let the amount raised be $x
Thus;
15% of $x = $500
$500 is the cost of the fund raiser
15/100 * x = 500
15x/100 = 500
15x = (100 * 500)
x = (100 * 500)/15
x = 3,333.33
HELP THI IS DUE TODAY
The answer is B
I hope this was helpful!
How many fifths are there in
8 3/5
Answer:
43 fifths
Step-by-step explanation:
8 x 5 = 40
40 + 3 = 43
Answer: 43
Step-by-step explanation:
find the rate of change (-3,4)(2,-3)
Answer:
negative rate of change
If y = 252, solve for x
y=9x
Answer:
x = 28
Step-by-step explanation:
If y = 252, solve for x
y = 9x
252 = 9x
x = 28
*
Find the value of z.
D
B
50°
N
x
G
A
С
E
F
H
Answer:
120
Step-by-step explanation:
Philip is allowed to watch 2 hours of television each day Monday through Thursday and 4 hours of television each day Friday through Sunday. Which of the following equations can be used to calculate the number of hours of television Philip is allowed to watch in x weeks?
Answer:
s=x(20)
Step-by-step explanation:
s= solution
x= # of weeks
4x2=8
4x3=12
12+8=20
Find three consecutive odd integers such that the sum of twice the largest and the smallest is
101.
Answer:
The sum of any set of consecutive odd numbers starting with 1 is always equal to the square of the number of digits that were added together. Sum of first two odd numbers = 1 + 3 = 4 (= 2 x 2). Sum of first three odd numbers = 1 + 3 + 5 = 9 (= 3 x 3). Sum of first four odd numbers = 1 + 3 + 5 + 7 = 16 (= 4 x 4).
Step-by-step explanation:
[tex]hii[/tex]
hope this helps you ✌️
What is the equivalent decimal for 2.200
9514 1404 393
Answer:
2.2, 2.20, 2.2000, 2.20000, ...
Step-by-step explanation:
Any decimal number with more or fewer trailing zeros will be equivalent. Some are ...
2.2, 2.20, 2.2000, 2.20000
__
These "equivalents" have the same value, but differing numbers of significant digits. If significant digits are important, the given form is the one you want.
[tex]\tt Step-by-step~explanation:[/tex]
Let’s go through several different solutions.
[tex]\tt Simplified:[/tex]
You can just take away two zeros at the end. You will get 2.2.
[tex]\tt Fractions:[/tex]
0.2 is equal to 2/10 or 1/5, so another solution would be 2 1/5.
You can also multiply 5 by 2 and add 1 to get another solution: 11/5.
[tex]\Large\boxed{\tt Our~final~answers:\underline{2.2},~2\frac{1}{5},~\frac{11}{5} }[/tex]
*Underlined: What you needed: decimal
This table shows the ratio of apples to oranges.
A 2-column table has 3 rows. Column 1 is labeled Apples with entries 6, 9, 12. Column 2 is labeled Oranges with entries 10, 15, question mark.
Find the missing value in the table of equivalent ratios.
I will mark Brainlyest
Answer: 20
Step-by-step explanation:
Sal's Sandwich Shop sells wraps and sandwiches as part of its lunch specials. The
profit on every sandwich is $2, and the profit on every wrap is $3. Sal made a profit
of $1,470 from lunch specials last month. The equation 2x + 3y = 1,470 represents
Sal's profits last month, where x is the number of sandwich lunch specials sold and
y is the number of wrap lunch specials sold. describe how you would graph this line using the slope-intercept method. be sure to write using complete sentences
Answer:
y=-3/2x+745
Step-by-step explanation:
so u you convert standard form to slope intercept which would be y=-3/2x+745 the y intercept is 745 and the slope (rise over run is the -3/2).
Answer:
1. slope intercept form is y=mx+b, where m is the slope and b is y-intercept. To write this in slope intercept form we must isolate the y.
2x+3y=1470
2x+3y-2x=1470-2x( subtraction will cancel the positive 2x on the left side)
3y=-2x+1470 ( since they are not like terms we can not combine them, we leave them separate)
3y/3=-2/3x+1470/3( cancel the 3 by dividing, EVERYTHING IN THE EQUATION gets divided to keep it equal)
So, y=2/3x+490 in other words the slope of the equation is -2/3 and the y-intercept is 490.
2. To graph this equation plot 490 on the y-axis first, seeing it is the y-intercept. Then count over to the right 3 and down 2, to find your next point and do this for every other point.
.3. In function notation this would look like this : f(x)=-2/3x+490. This function shows how the profit on wrap specials has changed as the number of sandwich specials sold increases
5. The next month Sals profit increased. The function changes because the y-intercept changes. The slope will stay the same.
Step-by-step explanation:
A translation of (x-2, y+3) means
Answer:
The number in the x place went left two units and the number in the y place went up 3 units.
Step-by-step explanation:
I hope this helps, if it does... may I be brainliest???