The mass of a teapot and 4 cups is 1,280 grams. The mass of the same teapot and 10 cups is 2,720 grams. Each cup has the same mass. What is the mass of the teapot?
Answer: 320 grams
Step-by-step explanation:
Let the mas of the teapot be denoted by a
Let the mass of the cups be denoted by c
The question can be turned into an equation which will be:
a + 4c = 1280 ......... equation i
a + 10c = 2720 ........ equation ii
Subtract equation i from ii
6c = 1440
c = 1440/6
c = 240 grams
The mas of the cup is 240 grams
From equation i
a + 4c = 1280
a + 4(240) = 1280
a + 960 = 1280
a = 1280 - 960
a = 320 grams
The mass of the teapot is 320 grams
Question 5
3 pts
In 1995, you bought a baseball card for $50 that you expect to increase in value 5% each
year for the next 10 years. Write an exponential growth equation
and
estimate the value of the baseball card in 2002
Ambrose and Kaitlin are volunteering at a food bank. They both start at the same time. Kaitlin takes 13 minutes to pack a box with donated food. Ambrose takes 7 minutes to pack a box. After how many minutes will they finish packing boxes at the same time?
Answer:
They will finish packing boxes at the same time after 91 minutes.
Step-by-step explanation:
From the question,
Kaitlin takes 13 minutes to pack a box while Ambrose takes 7 minutes to pack a box. That is,
Kaitlin will finish packing a box after every 13 minutes and Ambrose will finish packing a box after every 7 minutes.
To determine when they will finish packing boxes at the same time, we will list the times they will finish packing boxes
For Kaitlin, she will finish packing box(es) at the following times:
13th minute, 26th minute, 39th minute, 52nd minute, 65th minute, 78th minute, 91st minute, 104th minute etc.
For Ambrose, he will finish packing box(es) at the following times:
7th minute, 14th minute, 21st minute, 28th minute, 35th minute, 42nd minute, 49th minute, 56th minute, 63rd minute, 70th minute, 77th minute, 84th minute, 91st minute, 98th minute, 105th minute etc.
From above, we can observe that, Ambrose and Kaitlin will finish packing boxes at the 91st minute.
Hence, They will finish packing boxes at the same time after 91 minutes.
Expand 3x(x^2 – 5x + 6)
Answer:
3x^3-15x^2+18x
Step-by-step explanation:
Answer:
[tex]3x^{3}-15x^{2} +18x[/tex]
Step-by-step explanation:
In order to expand this expression you need to distribute the 3x to all the terms inside the parenthesis.
A muffin recipe uses 334 cups of flour for every 12 cup of milk. Which proportions could you use to solve for the cups of milk needed for 513 cups of flour?
Answer:
14278.5 cups of flour needed
Step-by-step explanation:
What should you add to this problem?
(2x^3 + 5x^2 + 9) / (x + 3)
A) 0x^4
B) 0x^2
C) 0x^3
D) 0x
PLZ ANSWER THE QUESTION 50 POINTS!!!!!!!
(-4,3) m=2 make this in point slope form
Answer:
y-3=2(x-(-4))
Or
y-3=2(x+4)
Step-by-step explanation:
Given the median, how do you find x on a triangle?
Look at the following graph and determine the slope of the line. AY 10 7 5 3 2 1 х 1 2 3 4 5 6 7 8 9 8 9 10
Answer:
I believe the slope is 2/3.
luke paid 30 percent less for a used car than its original price of $3,500. how much did luke pay for the car?
Answer:
Im not sure ok
Step-by-step explanation:
Im trying to solve too
Answer:
2450
Step-by-step explanation:
30% of 3500
30÷100×3500
=30×35
=1050
3500-1050
=2450
(5x10₃) x (9x10₇)
answered in standard form
Answer:
5x9x10^10
Step-by-step explanation:
your question is incomplete
I need help, this teacher isn't explaining things like she is supposed to
Answer:
3 and 4
Step-by-step explanation:
13 is between the perfect squares of 9 and 16, which are 3^2 and 4^2 respectively.
The fees for a biochemistry major are $1,728. To major in biochemistry, Toby requires 144 credit hours of coursework. How can he calculate the cost of the fees per credit hour? What is the cost of the fees per credit hour?
9514 1404 393
Answer:
divide fees by hours$12 per credit hourStep-by-step explanation:
To find fees per hour, divide fees by hours.
$1728/(144 h) = $12/h
Toby's cost is $12 per credit hour.
If CD = AB and AB = 8, then CD = 8
Answer:
sure
Step-by-step explanation:
A telephone number has the form NXX-ABC-XXXX. Today N is 2-9, and X is 0-9. However, there are exceptions as 37X and 96X are reserved for future use. Additionally N9X is reserved for expanding the total numbers at a later date. Finally, N11 is reserved for service numbers. How many total area codes are currently available given this information?
Answer:
The total area codes that are currently available is 692.
Step-by-step explanation:
The area code is of the form: NXX.
The variable N can take values,
N = {2, 3, 4, 5, 7, 8 and 9}
The variable X can take values,
X = {0, 1, 2, 3, 4, 5, 7, 8 and 9}
Considering that repetitions are allowed.
The total possible number of area codes is:
T = 8 × 10 × 10 = 800
So, there are 800 possible area codes.
The exception codes are:
{37X, 96X, N9X and N11}
There are 10 possible combinations for 37X.There are 10 possible combinations for 96X.There are 80 possible combinations for N9X.There are 8 possible combinations for N11.So, the number of reserved area codes is, 10 + 10 + 80 + 8 = 108.
Then the area codes that are currently available is, 800 - 108 = 692
Thus, the total area codes that are currently available is 692.
Write a slope intercept equation for line with the given characteristics m=-3/5 passes through (4,-4)
Step-by-step explanation:
Hey there!
Given;
Slope (m) = -3/5
And passes through the point(4,-4).
Now; The equation of a line in slope intercept form is y= mx+b.
So, try to bring it in y= mx+b form.
Firstly let's use one-point formula.
[tex](y - y1) = m(x - x1)[/tex]
Now, keep all values.
[tex](y + 4) = \frac{ - 3}{5} (x - 4)[/tex]
Now, simplify to get answer.
[tex]5(y + 4) = - 3(x - 4)[/tex]
[tex]5y + 20 = - 3x + 12[/tex]
[tex]5y = - 3x + 12 - 20[/tex]
[tex]5y = - 3x - 8[/tex]
[tex]y = \frac{ - 3}{5} x - \frac{8}{5} [/tex]
Therefore the equation is y = -3/5x - 8/5.
Hope it helps...
Solve for k.
4.5 + 1.5k = 18 - 3k
Answer:
k = 3
Step-by-step explanation:
Given
4.5 + 1.5k = 18 - 3k ( add 3k to both sides )
4.5 + 4.5k = 18 ( subtract 4.5 from both sides )
4.5k = 13.5 ( divide both sides by 4.5 )
k = 3
Answer:
[tex]k=3[/tex]
Step-by-step explanation:
[tex]4.5+1.5k=18-3k[/tex]
Subtract 4.5 to both sides
[tex]15k=13.5-3k[/tex]
Add 3k to both sides
[tex]4.5k=13.5[/tex]
Divide both sides by 4.5 to get k alone
[tex]\frac{4.5k}{4.5} =\frac{13.5}{4.5}[/tex]
[tex]k=3[/tex]
Hope this helps can pls do mark me brainliest:)
(10 Points) Question In Picture:
Answer:
10. you're welcome, good Luckk!
What is the measure of
Answer:
9
Step-by-step explanation:
3x+18+9x-27=99
12x-9=99
12x=108
x=9
Describe the Squeeze Theorem as simply as possible.
Hey there,
The squeeze theorem shows if [tex]f(x)\leq g(x)\leq h(x)[/tex] for all real numbers [tex](-\infty,~\infty)[/tex] then f(x) = h(x) but g(x) has to equal that as well.
Let's say we have [ [tex]\lim_{n \to \infty} (\frac{cos~x}{x})[/tex] ]
~Apply the theorem
Note that [ [tex]-1 \leq cos~x \leq 1[/tex] ] and [ [tex]\lim_{n \to \infty} (-\frac{1}{x})\leq \lim_{n \to \infty} (\frac{cos~x}{x})\leq \lim_{n \to \infty} (\frac{1}{x})[/tex] ]
~Apply the infinity property to every side but the middle
[tex]\lim_{n \to \infty} (-\frac{1}{x}) = 0[/tex]
[tex]\lim_{n \to \infty} (\frac{1}{x}) = 0[/tex]
So... [tex]\lim_{n \to \infty} (\frac{cos~x}{x})=0[/tex]
Best of Luck!
a point is ____
•imaginary
•real
Answer:
a point Is an imaginary line
Answer:
imaginary
Step-by-step explanation:
asking questions is super in this education life
The function h(t) = 150 – 9t represents the height of a ball dropped from 150 feet after t seconds. What will the height of the ball be after 1.4 seconds?
Answer:
I'm so sorry I can't help
7/11 ÷ 21/55 pls help me
9514 1404 393
Answer:
5/3
Step-by-step explanation:
You can divide fractions a couple of ways:
1. Invert the denominator and multiply
[tex]\dfrac{7}{11}\div\dfrac{21}{55}=\dfrac{7}{11}\times\dfrac{55}{21}=\dfrac{55\cdot7}{11\cdot21}=\boxed{\dfrac{5}{3}}[/tex]
2. Make both fractions have the same denominator and use the ratio of their numerators
[tex]\dfrac{7}{11}\div\dfrac{21}{55}=\dfrac{35}{55}\div\dfrac{21}{55}=\dfrac{35}{21}=\boxed{\dfrac{5}{3}}[/tex]
i need help answering the questions using distributive property. i already know the answers 3. will give brainliest.
Answer:
Hello
Step-by-step explanation:
by what i understood the awnser should be c
Find the percent of change
if the price of a $10 game is
marked up to $15.
Answer:
50%
Step-by-step explanation:
10 divided by 2 is 5. 5 is 50% of 10, and if you add 5 to 10, you get 15.
write a real world problem that can be solved using the distributive property
Answer:
10 + 2. 3(10 + 2) = ? something like that I think .
Step-by-step explanation:
The graph below shows a dilation. Jacky says that the original image was enlarged, but Juan thinks the original image was reduced. Who is correct? How do you know?
Answer:
Jacky is correct
Step-by-step explanation:
If you look closely, There's another point A which an apostrophe. (A')
This normally means that this is point A after a dilation was made.
The image got bigger.
The temperature fell from 0Degrees Fahrenheit to 6 and three-fifthsDegrees Fahrenheit below 0Degrees Fahrenheit in 2 and one-fifth hours. What was the temperature change per hour? -3 Negative 4 and two-fifths 3 4 and two-fifths
Answer:
the answer is A i think
Step-by-step explanation:
Answer:
your answer is
A. -3
good luck (:
The solution of 12x+12=8x is?
Answer:
x = - 3
Step-by-step explanation:
Solve by isolating x on one side of the equation.
12x+12=8x
-12 -12
12x=8x-12
-8x
4x=-12
4x/4=-12/4
x = - 3
Given that f(x)=x-3 and g(x)=x^2-x, find (f+g)(-2)
Answer:
(f + g)(- 2) = 1
Step-by-step explanation:
(f + g)(x) = f(x) + g(x) , thus
f(x) + g(x)
= x - 3 + x² - x
= x² - 3
Thus
(f + g)(- 2) = (- 2)² - 3 = 4 - 3 = 1