Answer:
Kaylee made [tex]6[/tex] two point shots and [tex]3[/tex] three point shots.
Explanation:
You know that a two point shot would be worth [tex]2[/tex] points. You also know that a three point shot would be worth [tex]3[/tex] points, and that she scored a total of [tex]24[/tex] points. Using this information you can create the first equation:
[tex]3x+2y=24[/tex]
For the second equation, you know that Kaylee scored [tex]3[/tex] more three point shots than two point shots.
[tex]y+3=x[/tex]
You would then graph it as a system of equations. Using the graph, you can figure out the solution of the system of equations, [tex](6,3)[/tex]. For the two equations above, we made two point shots [tex]x[/tex], and we made three point shots [tex]y[/tex], so Kaylee made [tex]6[/tex] two point shots and [tex]3[/tex] three point shots.
At the time of her grandson's birth, a grandmother deposits 11,000 in an account that pays 5.5% compounded monthly. What will be the value of the account at the xhild's twenty-first birthday, assuming that no other deposits or withdrawals are made during this period?
round to the nearest dollar
Answer:15,605
Step-by-step explanation:4000(1+.065/12)^21*12
4000(1+0054)^252
Write an expression for the area and perimeter for the figure shown
Answer:
Area = 3x² + 7x + 3
Perimeter = 8x + 8
Step-by-step explanation:
The figure can be decomposed into two: a large rectangle and a smaller rectangle.
✍️Dimensions of the large rectangle:
Length = (x + 1) + x = x + 1 + x = (2x + 1)
Width = (x + 3)
Area = length × width
Area = (2x + 1)(x + 3)
Expand
2x(x + 3) +1(x + 3)
2x² + 6x + x + 3
Area = 2x² + 7x + 3
✍️Dimensions of the large rectangle:
Length = x
Width = x
Area = length × width
Area = x × x = x²
✍️Area of the figure = area of the large rectangle + area of the smaller rectangle
Area of the figure = (2x² + 7x + 3) + x²
Area of the figure = 2x² + x² + 7x + 3
✅Area = 3x² + 7x + 3
✍️ Perimeter of the figure = sum of the length of all sides of the figure = (x + 3) + x + x + x + (x + 1) + (x + 3) + (x + 1) + x
✅Perimeter = 8x + 8
can you help me with that
Answer: 55% or 11/20
Step-by-step explanation:
not sure need help
Answer:
192
Step-by-step explanation:
There are 2 ways of solving for <4
The first is just to add the 2 angles not connected to <4
<4 = 51 + 51 = 102
The second is to find <2 and take that away from 180
<2 + 51 + 51 = 180
<2 = 180 - 102
<2 = 78
<4 + <2 = 180 (They are supplementary
<4 = 180 - 78
<4 = 102
Laura is saving money to buy a bike. She has $52 and is going to save an additional $8 each week. The bike costs $164. In how many
weeks will she have enough money to buy the bike?
Answer:
I would say 14 weeks.
Step-by-step explanation:
I solved it by subtracting what she already has from the price of the bike. $164-52= 112. Then I divided that by 8 cause she saving $8 a week and you get 14. So in 14 weeks she'll have enough money to buy the bike.
You hold a tape measure along the width of a picture frame. One end of the frame is 2 3/4 inches and the other end is at 10 7/16 inches. How wide is the frame in between
Answer:
Width = [tex]7\frac{11}{16}[/tex] inches
Step-by-step explanation:
Given
[tex]End_1 = 2\frac{3}{4}[/tex]
[tex]End_2 = 10\frac{7}{16}[/tex]
Required
Determine the width of frame in between
To do this, we simply calculate the difference between both ends:
i.e.
[tex]Difference = End_2 - End_1[/tex]
This gives:
[tex]Difference = 10\frac{7}{16} - 2\frac{3}{4}[/tex]
Convert to improper number
[tex]Difference = \frac{167}{16} - \frac{11}{4}[/tex]
Take LCM
[tex]Difference = \frac{167 - 44}{16}[/tex]
[tex]Difference = \frac{123}{16}[/tex]
[tex]Difference = 7\frac{11}{16}[/tex]
Hence, the width of the frame is [tex]7\frac{11}{16}[/tex] inches
HELP ME PLEASE!
Find the equation of the line.
Use exact numbers.
Please help me on this
does anyone know how to solve this inequality?
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[tex] \frac{x - 1}{2} - \frac{x - 2}{3} > \frac{x - 3}{4} \\ [/tex]
Multiply sides by 12
[tex]12 \times ( \frac{x - 1}{2} - \frac{x - 2}{3} ) > 12 \times ( \frac{x - 3}{4} ) \\ [/tex]
[tex](12 \times \frac{x - 1}{2} ) - (12 \times \frac{x - 2}{3} ) > 12 \times \frac{x - 3}{4} \\ [/tex]
[tex](6 \times \: (x - 1)) - (4 \times (x - 2)) > 3 \times (x - 3) \\ [/tex]
[tex]6x - 6 - (4x - 8) > 3x - 9[/tex]
[tex]6x - 6 - 4x + 8 > 3x - 9[/tex]
[tex]6x - 4x + 8 - 6 > 3x - 9[/tex]
Collect like terms
[tex](6 - 4)x + 2 > 3x - 9[/tex]
[tex]2x + 2 > 3x - 9[/tex]
[tex]3x - 9 < 2x + 2[/tex]
Add sides 9
[tex]3x - 9 + 9 > 2x + 2 + 9[/tex]
[tex]3x > 2x + 11[/tex]
Subtract sides 2x
[tex] - 2x + 3x > - 2x + 2x + 11[/tex]
[tex]x > 11[/tex]
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What person, Matt or Jane, has a constant rate of pay, and what is it?
Answer: Jane
Step-by-step explanation: Her pay is going up by the same amount, 12, each time.
Answer:
Matt's pay is not linear
Jane's pay is linear, and it is $12/hour
Step-by-step explanation:
Matt's Earnings:
As the time goes from 1 hour to 2 hours, the difference in hours is 1, the difference in pay is $8. From 2 hours to 3 hours, the difference in hours is again 1, but the difference in pay is $11. Since equal changes in x do not produce equal changes in y, Matt's earnings are not linear.
Jane's Earning:
As the time goes from 1 hour to 2 hours, the difference in hours is 1, the difference in pay is $12. From 2 hours to 3 hours, the difference in hours is again 1, and the difference in pay is again $12. Since equal changes in x produce equal changes in y, Jane's earnings are linear.
Jane's rate of pay is $12/hour
What's the addition property of 23 + 4 + 109 = 4 + 23 + 109
Answer:
I am confused on this question too
Step-by-step explanation:
Which of the following expressions is equal to In (4y?)?
Answer:
[tex]ln(4)+2\,\,ln(y)[/tex]
(the first option of the list)
Step-by-step explanation:
Using the properties of logarithms (first the logarithm of a product and then the logarithm of a power, we write:
[tex]ln(4\,y^2)=ln(4)+ln(y^2)=ln(4)+2\,\,ln(y)[/tex]
which agrees with the first option in the list of possible answers.
Find all 3-digit numbers which are 19 times the sum of their digits.
Answer:
The 3 digit numbers are;
171, 152, 133, 114, 285, 266, 247, 228, 209, 399
Step-by-step explanation:
Let the 3 digit number be xyz
Since x is the Hundreds digit, y is the tens digit and z is the unit digit, we have;
100x, 10y and z
We are told the sum of this is equal to 19 times the sum of their digits.
Thus;
100x + 10y + z = 19(x + y + z)
100x + 10y + z = 19x + 19y + 19z
This gives;
81x - 9y - 18z = 0
Divide through by 9 to get;
9x - y - 2z = 0
x = (2z + y)/9
Now, we will need to select values of z and y between 0 to 9 in such a way that (2z + y) is divisible by 9 and in such a way that x > 0 but ≤ 10
The possible solutions are;
At z = 1, y = 7 and x = 1
At z = 2, y = 5 and x = 1
At z = 3, y = 3 and x = 1
At z = 4, y = 1 and x = 1
At z = 5, y = 8 and x = 2
At z = 6, y = 6 and x = 2
At z = 7, y = 4 and x = 2
At z = 8, y = 2 and x = 2
At z = 9, y = 0 and x = 2
At z = 9, y = 9 and x = 3
Compiling all these, the 3 digit numbers are;
171, 152, 133, 114, 285, 266, 247, 228, 209, 399
What are the relative maximums of the function: f (x) = x²-3x + 5
Answer:
(3/2,11/4)
Step-by-step explanation
-b/2a to find the axis of symmetry
3/2= axis of symmetry
Then plug that in to find the vertex/maximum or minimum
3/2^2-3(3/2)+5
9/4-9/2+5
You can only add fractions with like denominators multiply 9/2(2/2) and 5(4/4)
So, 9/4-18/4+20/4
9/4-18/4= -9/4+20/4= 11/4
So the maximum is
(3/2, 11/4)
During one year, a family made 8 trips to the museum. The distance from their house to the 47 is miles. How many miles did the family drive in 8 trips?
Answer:
376
Step-by-step explanation:
47 times 8 would be the number of miles that the family took in 8 trips.
y= -2/3x I need this please.
Answer:
x= -2/3 or x=-2/3y
Step-by-step explanation:
i assume this meant solve for x
start by setting the y value as 0 then isolate the x
2.7 divided by 22.41
Answer:
[tex]\frac{10}{83}[/tex]
I hope this helps!
place an x in the table to show the percent decrease from the first number to the sound number. GIVING BRAINLIEST!!!
Answer:
Step-by-step explanation:
1. 150 to 132 is a decrease of 12%
2. 275 to 242 is a decrease of 12%
3. 300 to 255 is a decrease of 15%
Thanks For the Brainliest!
Answer:
1. 150 - 12% = 132
2. 275 - 12% = 242
3. 300 - 15% = 255
The line r represents f(x)=x-4/3.therefore,the line that represents f^-1 is ___ and f^-1(x)=____ x+____.
Answer:
f^-1 is P and f^-1(x) = 3x+4
Step-by-step explanation:
I did the work in my notebook but pretty much to find the inverse of [tex]\frac{x-4}{3\\}[/tex] you gotta do an equation and yeh its pretty simple.
The solution is , f^-1 is P and f^-1(x) = 3x+4.
What is an expression?An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
here, we have,
from the given figure, we get,
The line r represents f(x)=x-4/3.
so, we get,
f^-1 is P
let, y = f(x)
and, f^-1(y)=x
i.e. y = x-4/3.
3y=x-4
x=3y+4
so, f^-1(y) = 3y+4.
and f^-1(x) = 3x+4.
To learn more on Expression click:
brainly.com/question/14083225
#SPJ5
pls answer this it’s due
Answer:
The second to last choice
Step-by-step explanation:
Can 5x+5y be added together to make 10xy?
Answer:
no
Step-by-step explanation:
At noon, a tank contained 10cm of water. After several hours, it contained 7cm of water. What is the percent decrease of water in the tank?
Which of the following exemplifies a research hypothesis? A. Democrats and Republicans have different attitudes toward gun control. B. Millennials and Gen-Xers have similar levels of anxiety. C. The driving habits of men do not differ from those of women. D. Liberals and conservatives have the same voting rates.
2/12= blank 48 help me please
Answer:
8/48
Step-by-step explanation:
the bottom they multiplied by 4 to get 48 so you do the same to the top so you get 8
If the probability of an event is StartFraction 2 over 7 EndFraction, what must be the probability of its complement?
Answer:
5/7
Step-by-step explanation:
Answer:
5/7
Step-by-step explanation:
What is the result of 5 divided by one-fifth? 5 fraction bars. Each bar is labeled 1 with 5 boxes labeled one-fifth underneath. StartFraction 1 Over 25 EndFraction One-fifth 1 25
Answer:
25
Step-by-step explanation:
Answer:
it is 25
Step-by-step explanation:
Please help I will brainliest!! Really urgent!!
For terms and like terms just put
LT:
T:
Answer:
Terms: 8, (-x²), x, (-4x)
Like terms: x and (-4x)
Step-by-step explanation:
A term is a single number (positive or negative), a single variable (a letter), or several variables multiplied but not added or subtracted.
Like terms are terms that have the same variables and power like x.
Simplify (-32) = (-4).
O A. -8
O B. – 1/3
O C. 8
OD.
Which fraction is greater 7 out of 11 or eight out of 11
Answer:
8 out of 11
Step-by-step explanation:
i need help!! thank u!!