Answer:
[tex]15 \: presents = 20 \: hours \\ 18 \: presents = ( \frac{18}{15} \times 20) \: hours \\ = 24 \: hours[/tex]
Time required to wrap 1 present
20/154/3hTkme to wrap 18 present
18(4/3)6(4)24hA movie theater sells popcorn in bags of different sizes. The table shows the volume of popcorn and the price of the bag. If the theater wanted to offer a 60-ounce bag of popcorn, what would be a good price? Explain your reasoning
Answer:
For a volume of 60 ounces, the appropriate price is $16
Step-by-step explanation:
Firstly, we need to determine the relationship between volume of popcorn and the price of bag.
Let us try and see if there is a linear relationship
A linear model is of the form ;
y = mx + b
where m is the slope and b is the y intercept
While the price represents the y axis values, the volume represents the x axis values
For the slope;
m = (y2-y1)/(x2-x1)
m = (13.6-11)/(48-35) = 2.6/13 = 0.2
So we have the slope value as 0.2
the equation is;
y = 0.2x + b
to get b, substitute any value of (x,y)
6 = 0.2(10) + b
6 = 2 + b
b = 6-2 = 4
If we had substituted (20,8)
8 = 0.2(20) + b
8 = 4 + b
b = 4
if (48,13.6)
13.6 = 48(0.2) + b
13.6 = 9.6 + b
b = 13.6-9.6
b = 4
Hence we have established linear relationship between the volume in ounces and the price in $
So we have this as
Price = 0.2(volume) + 4
So for volume of 60 ounces;
Price = 0.2(60) + 4
price = 12 + 4
price = $16
The reason why this is appropriate is because it follows the rule of the established linear relationship
Answer:
$16
Step-by-step explanation:
The graph shows two lines PLS EXPLAIN YOUR ANSWER
Answer:
None
Step-by-step explanation:
There is a solution when the two lines intersect, because the lines have the same slope (and different y intercepts) they will never intersect. Therefore there are no solutions
IM really struggling on these math problems can anyone help and help me how to show the WORK! PLEASE
Answer:
For the first one it is 5x+2
Step-by-step explanation:
(9x+5) - (4x+3) = ?
First you minus the x's together so,
9x-4x which would equal 5x
then you minus the 5 and 3 together so,
5-3 which would equal 2
then you put the 5x and the 2 together and you get
5x+2 :-)
For the rest of the problems, use this as an example!
Measure the screwdriver's length to the nearest tenth of a centimeter. Express the answer as a decimal.
Answer:
17.1 cm
Step-by-step explanation:
A screw driver is a mechanical tool or device which is mainly used for screwing the screws and unscrewing them. It is also used for removing the nuts and bolts and also serves a variety of uses.
It is typically made of steel and has a handle and a shaft which ends as a tip.
In the context, the length of the screw driver from the given figure expressed to the nearest tenth of a centimeter is 17.1 cm.
It is also equivalent to [tex]$6\frac{3}{4}$[/tex] inch.
what initial value y=16 (0.75)x
Answer:
The initial value is;
y = 16
Step-by-step explanation:
Here, we want to get the initial value of y
Generally, for an exponential function,
we have the form as;
y = a•b^x
where the initial value is the value we have when x = 0
Looking at the given function, substituting x = 0
We have the function as;
y = 16(0.75)^0
y = 16 * 1
y = 16
So the initial value is 16
Write each percent as a decimal.
Draw a diagram or number line to
illustrate each percent.
a) 120% b) 250% c) 475%
d) 0.3% e) 0.53% f) 0.75%
Answer:
1.20 2.50 4.75 0.003 0.0053 0.0075
Step-by-step explanation:
Divide each percent by 100 to get the decimal form.
Sorry for not showing a diagram, but I hope this helps!
Julio has $150. Each week, he saves an additional $10.Write a function ()that models the total amount of money Julio has after weeks.
Answer:
The function that models the total amount of money Julio has after weeks is:
f(x)=150+10x, where:
x is the number of weeks
Step-by-step explanation:
With the information provided, you can say that the total amount of money Julio has would be equal to the initial amount he has plus the result of multiplying the $10 that he saves every week for the number of weeks, which can be expressed as:
f(x)=150+10x, where:
x is the number of weeks
Answer: f(x)=150+10x,
Step-by-step explanation:
Please help it's for my sister
Please help !!!!!!!!!!!!!!
9. Lines A and B are parallel lines. Find the measures of angles 1, 2 and 3.
Answer:
<1 = 33
<2 = 90
<3 = 57
Step-by-step explanation:
<3 = 57 because of alternate interior angles
<2 + <3 + 33 = 180
<2 + 57 + 33 = 180
<2 + 90 = 180
<2 = 90
<1 + <2 + 57 = 180
<1 + 90 + 57 = 180
<1 + 147 = 180
<1 = 33
ack can someone help
Answer:
I think the surface area is 382.
Jesse bought a $340$ -gram bag of coffee beans. He uses $18.75$ grams of coffee beans each day. When there are $40$ grams of coffee beans remaining in the bag, Jesse will buy another bag to make sure he doesn't run out of coffee.
Answer:
I will make sure he doesnt run out for you.
Step-by-step explanation:
Taylor bought some jeans on sale. The number of jeans she bought is 1-fith the amount of money she spent. She bought 6 jeans. Find the amount of money Taylor spent,
Answer:
30
Step-by-step explanation:
Let the amount of money Taylor spent = x
The number of jeans she bought is 1-fith the amount of money she spent. She bought 6 jeans.
Hence
1/5 × x = 6 jeans
x/5 = 6 jeans
Cross Multiply
x = 5 × 6 jeans
x = 30
The amount of money Taylor spent = 30
Rosa want to buy a new TV priced at 499.99 The TV is on sale for 15% off but the cashier informs her that if she applies for a store credit card she can have an additional 10% off. How much will Rosa pay after the discounts and 6% tax have been applied? Write and solve an equation to find the final price.
Answer:
$405,44
Step-by-step explanation:
Equation: 499.99 - (499.99 x 15/100) - 1/10[499.99-(499.99 x 15/100)] + 6/100{1/10[499.99-(499.99 x 15/100) = x
Steps: x = (15 x 499.99)/100 = $74.9985
499.99 - 74.9985 = $424,9915
x = (424,9915 x 10)/100 = $42,49915
424,9915 - 42,49915 = $382,49235
x = $22,949541
382,49235 + 22,949541 = $405,441891
That can be rewritten as $405,44.
I hope that helped :)
Write the number 6,800 in scientific notation.
Answer:
6.8*10^3
Step-by-step explanation:
Answer:
The answer is 6.8 × 103.
Step-by-step explanation:
I hope this helps! Have a great rest of your day!
what is 654,984 × 548,784,844 × 99,999 ?
Answer:
3.594417e+19
Step-by-step explanation:
Find the surface area of the regular pyramid. Write your answer as a decimal.
It has a pentagonal base of 84.3 sq cm and the dimensions of the triangles are 7 cm across and 9 cm tall.
7x9=63/2=31.5
31.5x4= 126
7x7=49
126+49=175
The surface area of the pyramid would be 175cm^2
Can someone help find what C is?
Answer:
the first one is 10
the second one is 12.65
Step-by-step explanation:
hope this will help u
Hello there!
Here, we want to use the Pythagorean Theorem: [tex]a^{2} + b^{2} = c^{2}[/tex].
For problem number 7, we plug 6 and 8 in for a and b. Like this:
[tex]6^{2} + 8^{2} = c^{2}[/tex]
Now we solve. [tex]6^{2}[/tex] is 36. [tex]8^{2}[/tex] is 64.
64 + 36 = 100
Then, we take the square root of 100 to get c.
[tex]\sqrt{100} = 10[/tex]
(There's something special about this triangle. If you want I'll tell you about it in the comments.)
For problem number 8, we do the same exact thing.
[tex]4^{2} + 12^{2} = c^{2}[/tex]
[tex]4^{2} = 16[/tex] and [tex]12^{2} = 144[/tex]
[tex]144 + 16 = 160[/tex]
[tex]\sqrt{160} = 8\sqrt{10}[/tex]
I hope this helps!!
PLEASEEE HELP. ITS REALLY IMPORTANT
Step-by-step explanation:
Hey there!
In (a) part we can see that a person delivers approximately 120 newspapers in 3 hours. Kate will deliver 30 × 3 = 90 newspapers. So, (a) part is the answer.
In (b) part, a person delivers 40 newspapers in 4 hours, Kate delivers 30 × 4 = 120 newspapers. So, Kate is faster, (b) option cancelled.
In (c) a person delivers 110 newspapers in 4.5 hours. Kate will deliver 30 × 4.5 = 135 papers, that's again greater. Option (c) cancelled.
Option (d), we can easily cancel it out. But I'm showing the work; a person delivers 20 newspapers in 4 hours, Kate delivers 30 × 4 = 120 newspapers, much faster than the person.
Hence option (a) is the answer.
Hope it helps :)
Number 7 please help 10 points no links pleAse
Answer:
Option C : 25Step-by-step explanation:
Given,
Number of rainy days = 18
Number of cloudy days = 14
Number of sunny days = 29
Therefore,
Number of days either sunny or cloudy = 14 + 29 = 43
So,
Number of more days sunny or cloudy than rainy are
= 43 - 18 = 25
Hence,
Option C 25 is the correct answer.
Aiden invested $98,000 in an account paying an interest rate of 2 % compounded
continuously. Autumn invested $98,000 in an account paying an interest rate of 2%
compounded quarterly. After 11 years, how much more money would Autumn have in
her account than Aiden, to the nearest dollar?
Answer:
Aiden would have $67 more than Autumn.
Step-by-step explanation:
Aiden compounded continuously, which uses the formula: [tex]P(t)=P_oe^r^t[/tex]
Plugging in what we know about Aiden's investment: [tex]P(11)=98000e^0^.^0^2^*^1^1[/tex]
That gives us: 122115.5196
Autumn invested using regular compound interest, which has the formula: [tex]A=P(1+\frac{r}{t})^n^t[/tex]
Since Autumn's investment is getting compounded quarterly, n=4 because it gets compounded 4 times a year.
Plug in Autumn's investment: [tex]A=98000(1+\frac{0.02}{4})^4^*^1^1[/tex]
That gives us: 122048.5974
Now just subtract the two and round to the nearest dollar:
[tex]122115.5196-122048.5974=66.92215187[/tex]
OR
$67. Aiden would have $67 more than Autumn after 11 years.
Which of these show a set of equivalent expressions ? select all that apply
explain the difference between 10°C and -10°C on a Thermometer
Answer:
10°C is above ice point while -10°C is below ice point
Please help me out please
Answer:
Your answer is 8.06.
Step-by-step explanation:
Since you're finding the hypotenuse of the triangle through Pythagorean theorem, you need to use the formula:
a² + b² = c²
Here, you have to remember that x is the same as c in the formula. c is the hypotenuse and x.
a is going to be your smallest leg, so in this case a = 4.
b is going to be your longest leg, so it is b = 7.
Now, you don't know what c yet is so you simply write it as:
4² + 7² = c²
Do the exponents.
16 + 49 = c²
Add.
65 = c²
Now you need to get the exponent away from the c. To do that, all you have to do is square root both sides.
√65 = √c2
Once you do that, you have your answer!
8.0622577483 = c
Now just simplify and you're done :)
8.06
Might sound hard now but you'll get the hang of it.
Kevin is making trail mix for his hike tomorrow. He has 9
cups of candy coated peanuts, and 2 cups of granola.
How many bags can he make without having any
ingredients left over, but with every bag having the exact
same ratio of peanuts to granola?
Answer:
2
Step-by-step explanation:
x^2 - 9x = x + 24 solve for x
Answer:
x = - 2, x = 12
Step-by-step explanation:
Given
x² - 9x = x + 24 ( subtract x + 24 from both sides )
x² - 10x - 24 = 0 ← in standard form
(x + 2)(x - 12) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 12 = 0 ⇒ x = 12
find the value of x *
Answer:
5 2/5 seems right to me
Step-by-step explanation:
filler filler filler
A circle with centre O has a radius of 6.2 cm.
AB is a diameter of the circle.
ABCD is a square.
Calculate the area of the shaded region.
You must show all your working.
Answer:
it could either be 10.781 or 65.6, if not either of em then iam truly very sorry
Step-by-step explanation:
PLEASE HELP!!
Find the length of the diagonal of the rectangle. Round your answer to the nearest tenth.
Answer:
d = 15.8 m
Step-by-step explanation:
Apply the Pythagorean Theorem to find the length of the diagonal. The correct equation for this particular rectangle is
d = √(9² + 13²) = √250 = √25·√10 = 5√10
To the nearest tenth, this comes to d = 15.8 m
Answer: 15.8
Step-by-step explanation:
If you flip a coin 7 times what is the probability that you will get exactly 2 tails
Answer:
The answer is 2/7.
Step-by-step explanation:
If you flip a coin 7 times then 7 is the denominator, which stands for the total amount of times you flipped the coin. The numerator is 2, which is the amount of times you land on the same thing, in this case, landing on tails.
Hope this helps!
-Luna