Answer:
17 pencils
Step-by-step explanation:
Assume that cup C holds x pencils. In this case, cup A holds x + 1 pencils, and cup B holds x + 2 pencils. We know that all of the cups together hold 48 pencils. If we add what we got together, we would get x + x + 1 + x + 2 = 48. 2x + 1 + x + 2 = 48. 2x + x + 1 + 2 = 48. 3x + 1 + 2 = 48. 3x + 3 = 48. 3x = 48 - 3. 3x = 45. x = 45 / 3. x = 15. Now, we know that cup C holds 15 pencils, and from here, we can find the number of pencils in cup B by adding 2 to 15 and getting 17, and that would be your answer.
Tell me if I'm wrong :)
Answer:
12
Step-by-step explanation:
help me with this guys
Let y = cos⁻¹(x), so that cos(y) = x.
For some angle y between 0 and π, cos(y) takes on some value between -1 and 1.
For the y in this range, we have cos(y) = -1/2 exactly when y = 2π/3.
Then
tan(cos⁻¹(-1/2)) = tan(2π/3) = sin(2π/3)/cos(2π/3) = (√3/2)/(-1/2) = -√3
Which place value first determines which of the numbers 6.399 or 6.400 is the larger number?
thousandths
hundredths
tenths
ones
Comparing the numbers, it is found that the tenths value first determines which of the numbers 6.399 or 6.400 is the larger number.
The decimal numbers are 6.399 and 6.400.
The ones value for each is 6.For the first value, the tenths digit is of 3, while for the second is of 4.The tenths digit is the first in which there is a difference, hence, it determines which of the numbers 6.399 or 6.400 is the larger number.
A similar problem is given at https://brainly.com/question/17248958
Rhonda started a business. Her business made $30,000 in profits the first year. Her annual profits have increased by an average 5% each year since then.
A) Write an iterative rule to model the sequence formed by profits of Rhonda’s business each year.
B) Use the rule to determine the annual profits of Rhonda’s business can be predicted to be 15 years from the start of her business. Round your answer to the nearest dollar. Do not round until the end, show your work.
Using an exponential function, it is found that:
a) The model is: [tex]A(t) = 30000(1.05)^t[/tex]
b) Her predicted profit is of $62,368.
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate.Item a:
$30,000 in profits on the first year, hence [tex]A(0) = 30000[/tex].Grows 5% each year, hnce [tex]r = 0.05[/tex]Then:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 30000(1 + 0.05)^t[/tex]
[tex]A(t) = 30000(1.05)^t[/tex]
Item b:
[tex]A(15) = 30000(1.05)^{15} = 62368[/tex]
Her predicted profit is of $62,368.
For more on exponential functions, you can check https://brainly.com/question/25537936
Select the correct answer.
Which statement best describes the solution to this system of equations?
3x + y= 17
x+2y= 49
OA. It has no solution.
OB.
It has infinite solutions.
OC. It has a single solution: x= 15, y= 17.
OD. It has a single solution: x= -3, y = 26.
Reset
Next
Answer:
D. (-3, 26)
Step-by-step explanation:
The ratios of x- and y-coefficients are different in the two equations, so there will be a single solution. (Different ratios mean the slopes are different. Lines with different slopes must intersect in exactly one point.)
We can rearrange the first equation to give an expression for y:
y = 17 -3x
This can be substituted into the second equation to give ...
x +2(17 -3x) = 49
-5x +34 = 49 . . . . . . simplify
-5x = 15 . . . . . . . subtract 34
x = -3 . . . . . . divide by -5
Then the value of y is ...
y = 17 -3(-3) = 26
The single solution is (x, y) = (-3, 26).
Find the equation of the line
Answer:
6,0 10,4
Step-by-step explanation:
find the y Axis and then the x Axis
Need help with this one too plzzz
Answer:
0.83
Step-by-step explanation:
volume = length*height*width
1500=L*30*60
1500=1800L
1500/1800 = 0.83
length = 0.83
Need Asap pls
Find the excluded value of the Following. Make sure to show the solution.
1. - 4/b + 6
2. x - 1 / (x - 3) (x + 4)
Select the correct answer.
Ann is buying a house that costs $250,000. She is making a down payment of 15 percent, and her closing costs will amount to 3 percent. Over the life of her loan, she will pay $282,089.89 in monthly payments. What is the total cost of her house?
A.
$327,089.89
B.
$338,390.89
C.
$339,560.89
Answer:
c i think
Step-by-step explanation:
I'm sorry if not
round off 86 625 mm to the nearest significant figure
answer.
86 630
explanation.
86 62|586 630Luke was trying to expand his game collection. He bought six games from a friend and
bought fifty more at a garage sale. If twenty-five of the games didn't work, how many
good games did he end up with?
Answer:
he would end up with 25 good games left
Answer: the answer is 31!
Step-by-step explanation: add 6 plus 50 to get 56 then subtract 25 to get 31!
please help me I really need help
1) 300 squared cm
2) 105 squared cm
3) about 165.75 squared cm
4) about 211.4 squared cm
Help would be well appreciated!!!!!!
Express y²-16y+k as a perfect square.
Answer:
(y-4)(y+4)
Step-by-step explanation:
When you factor the y^2 you need to factor the rest of your equation. Your K does not exist since it is a perfect square and there is no c. Then you square 16 which is 4 so you have (y-4) (y+4). Hope this helps :)
Help me please!! This is timed and I’m stuck
Answer:
B 13/2
Step-by-step explanation:
2x² + 7x - 15 = 0
First we want to find the two solutions
We can do this by using the quadratic formula
Quadratic formula:
[tex] \frac{- b + or - \sqrt{b {}^{2} - 4(a)(c)} }{2(a)} [/tex]
Where the values of a,b and c are derived from the equation.
The equation is put in ax² + bx + c = 0 form
2x² + 7x - 15 = 0
so a = 2, b = 7 and c = - 15
We now plug these values into the quadratic formula
(-(7) + or - √7² - 4(2)(-15) ) / 2(2)
first solution: -(7) + √7² - 4(2)(-15) ) / 2(2)
remove parenthesis on 7
(-7 + √7² - 4(2)(-15) ) /2(2)
Apply exponents 7²
(-7 + √49 - 4(2)(-15) ) /2(2)
Multiply -4,2 and -15
(-7 + √49 + 120 ) / 2(2)
add 49 and 120
(-7 + √ 169 ) / 2(2)
Take square root of 169
(-7 + 13 ) / 2(2)
add 13 and -7
6/2(2)
multiply 2 and 2
= 6/4
The first solution is 6/4 or 1.5
Now the second solution: -(7) - √7² - 4(2)(-15) ) / 2(2)
For the second solution we basically go through the same steps as for finding the first solution, the only difference is instead of adding -b and √b² - 4(a)(c) we are subtracting.
So we would have ( -7 - 13 ) / 2(2) instead of (-7+13)/2(2)
So second solution: ( -7 - 13 ) / 2(2)
subtract 13 from -7
-20/2(2)
multiply 2 and 2
-20/4
divide
The second solution is -5
Now that we have found the solutions we want to find r - s if r and s are the solutions to the equation and that r > s
The two solutions are 6/4 and -5.
6/4 > -5 so we know that r must equal 6/4 and s must equal -5 because r has to be greater than s
So if r = 6/4 and s = -5
Then r - s = 6/4 - (-5) = 6/4 + 5 = 13/2
So the answer is B. 13/2
A washer and a dryer cost $1000 combined. The cost of the washer is $175 more than the cost of the dryer. Determine the cost of the washer and the cost of the dryer.
Answer:
washer is 587$
Step-by-step explanation:
1000 - 175
825
825 divided by 2 than add 175 to the washers half
the cost of the washer is $587.5, and the cost of the dryer is $412.5.
Let's assume the cost of the dryer is "x" dollars.
According to the information given, the cost of the washer is $175 more than the cost of the dryer. So, the cost of the washer can be represented as "x + $175" dollars.
The combined cost of the washer and the dryer is $1000. Therefore, we can write the equation:
Cost of washer + Cost of dryer = $1000
(x + $175) + x = $1000
Now, let's solve for "x":
2x + $175 = $1000
Subtract $175 from both sides:
2x = $1000 - $175
2x = $825
Now, divide both sides by 2 to find the value of "x":
x = $825 / 2
x = $412.5
So, the cost of the dryer is $412.5.
Now, let's find the cost of the washer:
Cost of washer = Cost of dryer + $175
Cost of washer = $412.5 + $175
Cost of washer = $587.5
Therefore, the cost of the washer is $587.5.
In summary, the cost of the washer is $587.5, and the cost of the dryer is $412.5.
Learn more about cost here
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Need help plotting x and y intercept heres a better explanation of what I need to do
Can someone please help solving for x
Answer:
x=6.7
Step-by-step explanation:
In relation to the given angle, we are given the triangle's opposite side and hypotenuse. Therefore, we use the sine function to set up a proportion and solve for x:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
[tex]sin(31^\circ)=\frac{x}{13}[/tex]
[tex]13sin(31^\circ)=x[/tex]
[tex]x=13sin(31^\circ)[/tex]
[tex]x\approx6.7[/tex]
So, the opposite side is about 6.7 inches
Choose the graph of the inequality's solution. -4x + 8 > 12
Answer:
[tex]x < - 1[/tex]
You should have a circle on -1 with the arrow going left
Step-by-step explanation:
Subtract 8 from both sides.
[tex] - 4x + 8 > 12 \\ - 8 \: \: \: \: - 8[/tex]
[tex] - 4x > 4[/tex]
Divide by -4
[tex] \frac{ - 4x}{ - 4} > \frac{4}{ - 4} [/tex]
Since you are dividing by a negative, you need to flip the inequality.
[tex]x < - 1[/tex]
10. Which statement about this flgure is true?
A. it has reflectional symmetry.
B. It has no rotational symmetry.
C. It has rotational symmetry with an angle of rotation of 180 deg.
D. It has point symmetry.
HURRYYYY PLEASEEE
$75 to $25 show your work
Answer:
decrease
Step-by-step explanation:
the percent change measures FROM the first value. A change from 50 to 75 is a change of 50% (25 is the difference between the two numbers, and 25 is 50% of 50). A change from 75 to 50 is a change of -33.3% (25 is still the difference between the two. 25 is 33.3% of 75
a lake has an area of 63800000000 square meters.
write this area in square kilometers, correct to 2 significant figures
Answer:
64,000 (2 s.f)
Step-by-step explanation:
1 km is 1000 metres
so, 1 km² = 1000 x 1000 m²
i.e. 1 km² = 1,000,000 m²
=> 63,800,000,000/1,000,000 = 63,800
The second significant figure is 3 --> 3000
so, to the nearest 1000 we have 64,000 (2 s.f)
Hope it help and if it is correct please give brainliest
Thank You
in a certain game, a fair die is rolled and a player gains 20 points if the die shows a 6. if the die does not show a 6, the player loses 3 points. if the die were to be rolled 100 times, what would be the expected total gain or loss for the player?
The expected gain or loss is an illustration of mean and expected values.
The expected total gain is 83 points
The given parameters are:
Addition of 20 points for rolling a 6Removal of 3 points for not rolling a 6The probability of rolling a 6 in a fair die is 1/6.
The probability of not rolling a 6 in a fair die is 5/6.
So, the expected gain in each game is:
[tex]\mathbf{E(x) = 20 \times \frac 16 - 3 \times \frac 56}[/tex]
[tex]\mathbf{E(x) = \frac{20}6 - \frac{15}6}[/tex]
Take LCM
[tex]\mathbf{E(x) = \frac{5}6}[/tex]
[tex]\mathbf{E(x) = 0.83}[/tex]
The number of games is 100.
So, the expected gain is:
[tex]\mathbf{Gain = 100 \times 0.83}[/tex]
[tex]\mathbf{Gain = 83}[/tex]
Hence, the expected total gain is 83 points
Read more about expected value at:
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A taxi service charges an initial fee plus $1.80
per mile. How far can you travel for $12
?
What information do you need in order to be able to solve the problem?
Answer:
You would need the intial fee in dollars/cents
Expression:
c=initial fee
x=amount of miles
[tex]1.80x+c=12[/tex]
Step-by-step explanation:
You would need the intial fee in dollars/cents
Expression:
c=initial fee
x=amount of miles
[tex]1.80x+c=12[/tex]
There is currently 9 inches of snow on the ground.
With the thunderstorms today the snow will melt at
a rate of 1.5 inches per hour.
1. Write an equation to represent this situation
2. What do the slave and y-intercept mean
3. After how many hours would all the snow be melted
4. Make a table of this situation to show when all the snow would be melted
Answer:cold weather pose, there are armies that have and can conduct large-scale, ... to one inch (2.5 centimeters) per hour accumulates.
Step-by-step explanation:
Answer:
1.5 × ? = 9
9÷1.5 = 6
so the answer would be 6 hours
the four regions on the coordinate plane are called
Answer:
They are called quadrants
Hope it helps:)
Plz help fast I will mark Brainlyist
can you Solve for c?
Answer:
[tex]3\sqrt{2}[/tex] or [tex]\sqrt{18}[/tex]
Step-by-step explanation:
Use 45-45-90 triangle theorem
3*[tex]\sqrt{2}[/tex]
Triangle IJK has the coordinates listed:
Where is J' after a reflection over the y-axis?
Answer:
J' (- 10, - 8 )
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
J (10, - 8 ) → J' (- 10, - 8 )
Answer:
(-10, -8)
Step-by-step explanation:
The rule for a reflection over the y -axis is (x, y)→(−x, y) .
so J(10, -8) becomes J'(-10, -8)
ben put £1000 into a savings account. the interest rate was compound at 0.65% per year. at the end of x years he had made £53.20 in interest show that x=8
Answer:
Below.
Step-by-step explanation:
Using PRT/100 = I, we can prove that x = 8.
=> 1000 x 0.65 x 8/100
=> 10 x 0.65 x 8
=> 6.5 x 8
=> £52
Unfortunately, something is wrong with the question. Please re-check the question to make sure it is right. I have tripled checked my answer and it is right.
What’s the next 3 terms of the sequence -2,8,-32?
Answer:
Step-by-step explanation:
This is a geometric series.
First term = - 2
Ratio = second term ÷ first term = 8 ÷ (-2) = -4
Next three terms are:
-32 *(-4) = 128
128*(-4) = - 512
-512*(-4) = 2048
Answer:
The next 3 terms would be 128, -512, 2048
Step-by-step explanation:
Since we are dealing with a Geometric Sequence we use this formula [tex]a_{n}=a_{1} *r^{n-1}[/tex]
Since the first term([tex]a_{1}[/tex]) is -2 and for us to find R we have to divide 8 by -2 = -4
So we would rewrite the equations to find the next three terms as
[tex]a_{4}=-2*-4^{4-1}=-2*-4^3=128[/tex]
[tex]a_{5}=-2*-4^{5-1}=-2*-4^4=-512[/tex]
[tex]a_{6}=-2*-4^{6-1}=-2*-4^5=2048[/tex]
