Answer:
Equations:
[tex]y = 14 + 9 x[/tex] --- Cindy
[tex]y = 10 x[/tex] --- Ruben
Solution to equation:
Time they have the same amount: 14 minutes
Number of cards they have at that time: 140 flashcards
Step-by-step explanation:
Solving (a): Variables and what they represent
The variables to use are x and y
Where x represent the minutes and y represents the number of flashcards in x minutes
Solving (b): System of linear equation
Cindy:
[tex]Existing\ Flashcards = 14[/tex]
[tex]Additional = 9[/tex] per minute
Total number of flashcards (y) in x minutes is:
[tex]y = Existing\ Flashcards + Additional * x[/tex]
[tex]y = 14 + 9 * x[/tex]
[tex]y = 14 + 9 x[/tex]
Ruben:
[tex]Rate = 10[/tex] per minute
Total number of flashcards (y) in x minutes is:
[tex]y = Rate * x[/tex]
[tex]y = 10 * x[/tex]
[tex]y = 10 x[/tex]
Solution to Equations:
Time they have the same amount.
To do this, we [tex]equate[/tex] [tex]both[/tex] expressions
i.e.
[tex]10x = 14 + 9x[/tex]
Collect Like Terms
[tex]10x - 9x = 14[/tex]
[tex]x = 14[/tex]
Number of cards they have at that time.
Here, we simply substitute 14 for x in any of the equations.
[tex]y = 10 x[/tex]
[tex]y = 10 * 14[/tex]
[tex]y = 140[/tex]
or
[tex]y = 14 + 9 x[/tex]
[tex]y = 14 + 9 * 14[/tex]
[tex]y = 14 + 126[/tex]
[tex]y = 140[/tex]
True or False
1. We find the x-intercepts of a function fby evaluating f(0).
2. The solutions of a function are the first coordinates of the
x-intercepts of the function.
3. We can use completing the square to solve any quadratic equation.
4. The function f(x)=-3(x+4)2-5 has a maximum value.
Which expression can be used to find The amount of money for camp leader spends on b books
Answer:
Part A: A. 7.50 x b
Part B: $90
Step-by-step explanation:
Part A: The cost of a book is $7.50, so the equation that is going to tell you the total cost of however many books purchased is equation A.
Part B: $90. If the cost of a book is $7.50 and the teacher purchases 12 books, you do $7.50 x 12= $90. You can check the equation by adding $7.50 12 times. You will get the same result.
A TV store buys TV's for $250 each, and then increases the price by 120%. What is the sales price of a TV at this store?
Answer:
$300
Step-by-step explanation:
Answer:
$300
Step-by-step explanation:
250 100
? 120
(250x120)/100
Check whether (x – 1) (x +2) = x + 3 is a quadratic equation or not.
Answer:
no, it is not
Step-by-step explanation:
STEP 1: Simplify (x−1)(x+2).
[tex]x^2+x-2=x+3[/tex]
STEP 2: Move all terms containing x to the left side of the equation.
[tex]x^2-2=3[/tex]
STEP 3: Move all terms not containing x to the right side of the equation.
[tex]x^2=5[/tex]
STEP 4: Take the square root of both sides of the equation to eliminate the exponent on the left side.
[tex]x=[/tex]±[tex]\sqrt{5}[/tex]
STEP 5: The complete solution is the result of both the positive and negative portions of the solution.
[tex]x=\sqrt{5} ,-\sqrt{5}[/tex]
choose all the polygons
Answer:
A, B, E, F
Step-by-step explanation:
A polygon is ANY shape formed with only straight lines.
The coordinates of the point P are (−6,−2) and the coordinates of point Q are (−6,9). What is the distance, in units, between the point P and point Q?
Answer____________Units.
Answer:
The distance in units would be -8, -3.
Step-by-step explanation:
pls help me on this iready question I beg u
Answer:
We conclude that for 1/2 batch, Faird would require 3/8 cups of sugar.
Step-by-step explanation:
Suger needed for a full batch = 3/4Given that Farid is making 1/2 of batchWe need to determine the expression for the amount of sugar Freed needs to make 1/2 batch.
Let 'x' be the batch and 'y' be the amount of sugar
Suger needed for a full batch = 3/4 cup of a sugar
so
x = 3/4yBut, Farid is making 1/2 of the batch.
Thus, multiply both sides by 1/2
[tex]x\times \frac{1}{2}\:=\:\frac{3}{4}y\times \frac{1}{2}[/tex]
[tex]\frac{x}{2}=\frac{3y}{8}[/tex]
Therefore, we conclude that for 1/2 batch, Faird would require 3/8 cups of sugar.
what is the maximum value of the function? explain what the maximum value of this represents in this situation. make sure to include information about the x-value and y-value in your explanation
wowwwww he just roasted youuuuuuuuuu!!!!!
What is the 15th term of the sequence an =
-3n+50
D. 95
Answer:
= 105
Step-by-step explanation:
Answer:
here ya go
Step-by-step explanation:
a
9
=
105 I think
plz help i have a branliest
Answer:
Use a calculator lol
Step-by-step explanation:
Answer:
Step-by-step explanation:
s= 2, 2 and 11
I= 2, 5 and 3
u=2, 7 and 5
t= 2, 2, 3 and 3
b= 2, 2, 5 and 5
n= 2, 2, 19
p= 2, 3, 3 and 5
o= 2, 2 and 17
r= 3, 3 and 11
m= 2, 3, 3 and 7
d= 2, 3 and 7
e= 2, 2, 3 and 11
PLEASE EXPLAIN STEPS
Answer:
C. m<C = m<F
Step-by-step explanation:
this is because in their triangle names, they are in the same spot (third letter of the name)
if they are in the same spot, they have to be congruent
same goes for the other letters, <A has to be congruent to <D and <B has to be congruent to <E
What is the exact distance from (-5,1) to (3,0).
Answer:
The distance between the two points is [tex]\sqrt{65} \ \text{units}.[/tex]
Step-by-step explanation:
In order to find the distance between two coordinate pairs, we can use the distance formula:
[tex]\displaystyle \bullet \ \ \ d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Our coordinate pairs need to be labeled accordingly, so we can use this naming system:
[tex]\bullet \ \ \ (x_1, y_1), (x_2, y_2)[/tex]
This assigns a name to our points:
[tex]x_1 = -5[/tex][tex]y_1 = 1[/tex][tex]x_2 = 3[/tex][tex]y_2 = 0[/tex]Therefore, we can plug these into the formula and solve:
[tex]d=\sqrt{(3-(-5))^2+(0-1)^2}\\\\d=\sqrt{(8)^2+(-1)^2}\\\\d=\sqrt{8^2+1^2}\\\\d=\sqrt{64+1}\\\\d=\sqrt{65}[/tex]
Therefore, the distance between the two points is [tex]\sqrt{65} \ \text{units}[/tex].
I REALLY NEED HELp!!!!!!!!
Retail Price Quantity Total Price
Twister Pen .35 * 2 = $0.70
Mini Fish Eraser .50 * 1 = $0.50
Happy Cap Eraser .05 * 5 = $0.25
Erasing Grip .35 * 3 = $1.05
---------
Subtotal .7 + .5 + .25 + 1.05 = $2.50
Sales Tax Amount (unknown because we aren't given a tax value)
Total (also unknown for the same reason)
Retail Price Quantity Total Price
Twister Eraser .35 * 3 = $1.05
Astral Wonders Pencils .20 * 4 = $0.80
Criss Cross Critters .15 * 2 = $0.30
Traction Mechanical
Pencil .35 * 2 = $0.70
Muchin Mike Sharpener .50 * 2 = $1.00
----------
Subtotal 1.05 + .8 + .3 + 0.7 + 1 = $3.85
Sales Tax Amount (unknown because we aren't given a tax value)
Total (also unknown for the same reason)
Best of Luck!
Find the measures of the exterior angles.
Answer:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles. (Non-adjacent interior angles may also be referred to as remote interior angles.) FACTS: An exterior ∠ is equal to the addition of the two Δ angles not right next to it.
WA store manager records the number of people who have been in his store compared to the number of hours the store has been open. He graphs the data on the scatterplot below and sketches a trend line.
Store Customers
A graph has hours open on the x-axis, and total customers on the y-axis. A trend line goes through points (1, 25) and (2, 50).
Based on the data collected, if the store has been open 7 hours, which scenario is most likely to be true?
After 1/2 hour, 1 customer had been in the store.
After 6 hours, 129 customers had been in the store.
After 7 hours, 175 customers had been in the store.
After 8.5 hours, 225 customers had been in the store.
Answer: After 7 hours, 175 customers had been in the store.
Step-by-step explanation:
Did the quiz, Trust me.
Answer:
ccccccccc!
Step-by-step explanation:
8. If a runner’s power is 400 W as she runs, how much chemical energy does she convert into other forms in 10.0 minutes? E = P X t
Answer:
2400kJ
Step-by-step explanation:
Step one:
given data
power P= 400W
time = 10minutes
to seconds= 60*10 = 600 seconds
Required
the energy
Step two:
we know that Energy= power * time
E=P*t
E=400*600
E=240000
E=2400kJ
She converts 2400kJ into other forms
Steve's bedroom measures 12 feet by 13 feet. Ricardo's bedroom measures 8 feet by 14
feet. Assuming that both bedrooms are rectangular, whose room has the greater area?
Answer: Steve's bedroom has the greater area.
Step-by-step explanation: The formula for area is Area = Length x Width.
So all you have to do to figure this out is multiply the Width of the rooms by the length.
So Steve's room is 12ft X 13ft = 156ft
Ricardo's room is 8ft X 14ft = 112ft
156ft > 112ft
Steve's room has a greater area.
f(x)=x^2+2x-1
find f(-3)
Answer:
2
Step-by-step explanation:
Which two expressions are equivalent?
(F was wrong) H 7(x − 3) and 7x − 7 • 3
g 7(x − 3) and 7x − 4 j 7(x − 3) and 7x + 7 • 3
Answer:
The correct answer is:
Option H: 7(x − 3) and 7x − 7 • 3
Step-by-step explanation:
Equivalent expressions are those expressions that simplify to the same expression i.e. the result of both expressions is the same. There is no change of sign or variable or any quantity.
Option H:
The two expressions are:
7(x − 3) and 7x − 7 • 3
[tex]7(x-3) = 7x - 21\\7x - 7.3 = 7x-21[/tex]
It can clearly be seen that both the expressions result in same expression
Hence,
The correct answer is:
Option H: 7(x − 3) and 7x − 7 • 3
I need help with this question pleaseeee
Answer: 639
Step-by-step explanation:
i might be wrong but that's how i was taught! :)
Raise the product of 36 and 9 to the power of the sum of 2 and 4.
Which of the following expressions matches the sentence above?
A.
(36 = 9(2+4)
B.
(36 x
9)(2+4)
O c.
(36 x 9)(2x4)
D.
(36 = 9)2 + 4
Answer:
B
Step-by-step explanation:
36 x 9 = 324
4+2=6
324^6
=324*324*324*324*324*324
=1156831381426176
What is the value of the expression below?
2 [32 - (4-1) to the power of 3]
Enter your answer in the box.
Answer:
the answer is 10
Step-by-step explanation:
find the slope of the line please help!
Answer:
the slope is 2/3
Answer:
Step-by-step explanation: First you determine if the slope if positive (increasing) or negative (decreasing). Second you use two points on the line, calculate the rise and the run and express it as a fraction (rise over run). Rise is the change in the y-value and Run is the change in the x-value.
What number is equivalent to 15 and 25
Answer:
yo are you talking about like absolute value? then it's | -15 | and | -25 |
Step-by-step explanation:
HEY THS IS WORTH 69 POINTS
The vertices of a rectangle are A(2, 0), B(5, 0), C(5, −2), and D(2, −2). Reflect the rectangle in the y-axis, and then rotate
the rectangle 180° about the origin. What are the coordinates of the image?
Answer:
A′(-2, 0), B′(-5, 0), C′(-5, 2), and D′(-2, 2)
Step-by-step explanation:
I did FLVS (Online School stuffs)
Answer:
A
Step-by-step explanation:
simplify the fraction 15/20
15/20
Figure out what number to use for simplify
Which is 5
Divide the numerator and denominator by 5
15/5=3
20/5=4
Answer:3/4
What is 20/19?? absolute value
Answer:
1.05263
Step-by-step explanation:
hope it helps !
The price of milk increased from $2 to $2.50. What is the percent of change for the price of milk?
25.00%
Or
25c
Have a Merry Christmas!
Is there a proportional relationship between x and y? Explain.
8 10 12 14
х
y
5
9
11
A.
Mo
at 2
No; all ratios
are not equivalent.
B.
Yes; each x value and y value increases by 2.
C.
Yes; the difference between each x value and y value is 3.
D
202
No; all ratios
are greater than 1.
Answer:
The answer is B. Hope it helps :)
need help with this problem it’s math so if you know math come on in
Answer:
The line is super close to 15 or 20. So one of those for sure
Step-by-step explanation:
Answer: its got to be 15 because the line isn't on 20
Step-by-step explanation: