Shivani is making greeting cards, which she will sell by the box at an arts fair. She paid $20 for a booth at the fair, and the materials for each box of cards cost $5. She will sell the cards for $7 per box of cards. At some point, she will sell enough cards so that her sales cover her expenditures. How many cards will that take?
Answers
Answer:
10 cards
Step-by-step explanation:
So to do this problem, you can make an equation where x is the number of cards sold, which would be:
7x - 20 - 5x = 0
This is because she makes $7 for every card she sells (so 7x), she paid $20 for the booth (so -20), it costs her $5 to make every card (so -5x), and you want to see how many cards it will take for her to cover everything she spent (so it would equal 0).
Then, solving:
combine like terms
add 20 to both sides
divide both sides by 2
This means the answer is 10 cards
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40% of what number is 68?
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Rewrite the fraction in simplest form. 24/36
Answers
next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.
Students's solution: Lukas has 2 gerbils, so Riley had 2 × 4 to begin with. So Riley had 8 gerbils. He gave away 5, so 8 – 5 = 3. He bought 2, so 2 + 3 = 5. So Riley has 5 gerbils.
Here is another problem that can also be solved by working backwards.
Maddy picked 2 times as many tomatoes as carrots from her garden. She picked 4 fewer cucumbers than tomatoes. Maddy picked 5 carrots.
How many cucumbers did Maddy pick?
Answers
I hope this helped !!
Answers
The equation of a line can be written using the slope-intercept form, y = mx + b. The slope represents the rate of change between two variables.
To write the equation of a line, we typically use the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept. The slope represents the rate of change between two variables. If the slope is positive, it indicates a positive correlation, and if the slope is negative, it indicates a negative correlation. A slope of zero indicates a horizontal line.
For example, if we have an equation y = 2x + 3, the slope is 2. This means that for every unit increase in x, the corresponding value of y will increase by 2 units. In other words, the line is getting steeper as we move right.
Learn more about Equation of a Line here:
#SPJ3
= (0-3)/(0-2)
= -3/-2
=3/2
It crosses the y axis at 0 so b = 0
y = mx + b
y = 3/2x + 0
In other words,
y = 3/2x
Good luck!
A.)p = i-rt
B.)p = i/(rt)
C.)p = (rt)/i
Answers
Divide both sides by r
Divide both sides by t
I/rt = p
Switch it up ( p = I/rt )
Answer:
The best answer choice to solve your problem would be B)
Step-by-step explanation:
first: Divide both sides by r
then: Divide both sides by t
ILYA
60-12(12)
CHLOE
BEN
SHAWN
KATE
12-60(h)
60=12(h)
h=
12
60
h
M
60
19
12
Answers
Answer: To find the height of a rectangle with a base of 12 cm and an area of 60 cm², we can use the formula:
Area=Base×Height
Rearranging this formula to solve for the height, we get:
Height=BaseArea
Substituting the given values, we get:
Height=12 cm60 cm²=5 cm
Therefore, Chloe is the only student who wrote the correct formula to find the height of the rectangle. The correct formula is:
Height=Base Area
I hope this helps!
Step-by-step explanation:
Answers
for
y=a(x-h)^2+k
vertex is (h,k)
given vertex is (3,5)
y=a(x-3)^2+5
we are also given
(5,-3)
x=5 and y=-3 is a possible solution
-3=a(5-3)^2+5
-3=a(2)^2+5
minus 5 both sides
-8=a(4)
-8=4a
divide by 4 both sides
-2=a
the equation is