1. Kim's age is three times that of her sister. When you add Kim's age to her sister's age, you get 48. How old is each sister? (a) Write an equation that represents the situation. Explain any variable used. (1 point) (b) Solve the equation from Part (a). Show your work. (4 points)
Answer:
3k=48
Step-by-step explanation:
k=kim's age
3k=48
/3
k=16
Can somebody help me as soon as possible I’ll give brainliest
expand the function f(x)=(x+5)^3
The function f(x) = (x + 5)³ when expanded is f(x) = x³ + 15x² + 75x + 125
How to expand the function?The function in the equation is given as
f(x) = (x+5)^3
Rewrite this function properly
So, we have the following representation
f(x) = (x + 5)³
Solving further, we need to expand the expression into factors
So, we have the following representation
f(x) = (x + 5)(x + 5)(x + 5)
Next, we expand the first two brackets in the equation
This gives
f(x) = (x² + 5x + 5x + 25)(x + 5)
Evaluate the like terms
This gives
f(x) = (x² + 10x + 25)(x + 5)
Solving further, we need to expand the last two brackets
So, we have the following representation
f(x) = (x³ + 5x² + 10x² + 50x + 25x + 125)
Evaluate the like terms
This gives
f(x) = (x³ + 15x² + 75x + 125)
Remove the brackets
So, we have
f(x) = x³ + 15x² + 75x + 125
Hence, the function is f(x) = x³ + 15x² + 75x + 125
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Luke has 75 Vbucks in his account he spends 5 Vbucks every 2 hours. At this rate how many hours did it take for all 75 V bucks to be drained from his account?
Answer:
30
Step-by-step explanation:
i did the math lol
Answer:
Can I have some vbucks?
i need help btw im 6th grader
someone help me with my assignments
Answer: Choice A
Step-by-step explanation: You are given the inequality g is less than or equal to. Greater/less than and equal to, you use solid circle. Greater/less than, you use open circle. From there, you just look at the inequality in which direction is it going at and from there, you should be able to select your choice which happens to be the first one.
I hope this explanation helps.
Best to you!
what is the value of x in m(x+n)=n
The equation m(x + n) = n si solved for x will be given as x = n / m (1 - m).
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation is given below.
m(x + n) = n
By simplifying for x, then we have
x + n = n / m
x = n / m - n
x = (n - mn) / m
x = n / m (1 - m)
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EASY MATH QUESTION pls help asap
A movie theater charges $8.00 for adults and $5.00 for children. If there were 40 people altogether and the theater collected $272.00 at the end of the day, how many
of them were adults?
A. 29 adults
B. 16 adults
C. 24 adults
D.10 adults
Answer:
b 16 adult is - 40 people end of day
Rewrite each of the following terms as an extended product. Consider carefully your order of operations and remember that exponents come before multiplication. You do not need to simplify the products.
#a
[tex]\\ \sf{:}\dashrightarrow 4^3=(2\times 2)^3=2^6[/tex]
#b
[tex]\\ \sf{:}\dashrightarrow 3^2.3^3=3^5[/tex]
#c
[tex]\\ \sf{:}\dashrightarrow (2^3)^4=2^{12}[/tex]
#d
[tex]\\ \sf{:}\dashrightarrow x^3y^4\checkmark[/tex]
#e
[tex]\\ \sf{:}\dashrightarrow 8x^2y^5=2^3x^2y^5[/tex]
#f
[tex]\\ \sf{:}\dashrightarrow( 9x^2)^2=(3^2x^2)^2=3^4x^4[/tex]
3 out of 25 cookies are oatmeal . What percent of oatmeal are not oatmeal
Answer:
88%
Step-by-step explanation:
You can do this pretty easily because percent is just decimals where the decimal is moved 2 units to the right.
Since the base is 25, and 3 of them are oatmeal, you can multiply by 4/4 to get a base of 100, to make this a lot easier.
3 / 25 = x / 100
3 x 4 = 12
12/100 are oatmeal.
Since you don't want the oatmeal, you subtract 100 by 12 to find the remaining of 88.
Answer:
88%
Step-by-step explanation:
1) 25-3=22 not oatmeal
2) proportion: 22/25 = x/100
cross multiply and divide
22x100 = 2200
2200/25 = 88
88%
Simplify.
57.8 – 4.07
Answer:
53.73
Step-by-step explanation:
help how do I do this!!!!
Answer:
C
Step-by-step explanation:
Since the weight is proportional to the cost, let's find the slope of the chart.
(x,y) corresponds to (weight, cost)
Pick 2 coordinate points with both the weight and cost.
(4, 23.96) (6, 35.94)
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
[tex]\frac{35.94-23.96}{6-4}= 5.99[/tex]
One pound is 5.99 dollars.
So to fill in the chart, multiply 5.99 by the number of pounds.
y=5.99x
2 lbs | $11.98
3 lbs | $17.97
4 lbs | $23.96
5 lbs | $29.95
6 lbs | $35.94
With this information, C would be the correct answer.
A programmer plans to develop a new software system. In planning for the operating system that he will use, he needs to estimate the percentage of computers that use a new operating system. How many computers must be surveyed in order to be % confident that his estimate is in error by no more than percentage point Complete parts (a) through (c) below.
A) Assume nothing is known about the percentage of computers with new operating systems
n =
round up to the nearest integer
b) Assume that the recent survey suggest that about 96% of computers use a operating system.
n =
round up to the nearest integer
C) Does the additional survey information from part (b) have much of an effect on the sample size that is required?
A.
Yes, using the additional survey information from part (b) dramatically reduces the sample size.
B.
No, using the additional survey information from part (b) does not change the sample size.
C.
Yes, using the additional survey information from part (b) dramatically increases the sample size.
D.
No, using the additional survey information from part (b) only slightly increases the sample size.
Using the z-distribution, we have that:
a) A sample of 601 is needed.
b) A sample of 93 is needed.
c) A. Yes, using the additional survey information from part (b) dramatically reduces the sample size.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so [tex]z = 1.96[/tex].
For this problem, we consider that we want it to be within 4%.
Item a:
The sample size is n for which M = 0.04.There is no estimate, hence [tex]\pi = 0.5[/tex][tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96\sqrt{0.5(0.5)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.04}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.04}\right)^2[/tex]
[tex]n = 600.25[/tex]
Rounding up:
A sample of 601 is needed.
Item b:
The estimate is [tex]\pi = 0.96[/tex], hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.96(0.04)}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96\sqrt{0.96(0.04)}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.96(0.04)}}{0.04}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.96(0.04)}}{0.04}\right)^2[/tex]
[tex]n = 92.2[/tex]
Rounding up:
A sample of 93 is needed.
Item c:
The closer the estimate is to [tex]\pi = 0.5[/tex], the larger the sample size needed, hence, the correct option is A.
For more on the z-distribution, you can check brainly.com/question/25404151
Multiply.
[−3⋅914]⋅[(−0.1)⋅(−28)]
What is the product?
Answer:
x=5.3984
Step-by-step explanation:
Let f(x)=5(3)x−4. Evaluate f(6).
Given that:
f(x) = 5(3)x-4
f(6) = 5(3)(6) - 4 ⇛15(6) - 4 ⇛90-4 ⇛86Ans.
Sarah walked ½ mile yesterday morning and ¾ mile yesterday afternoon. What was the total distance walked by Sarah?
Answer:
1.25 miles or 5/4
Step-by-step explanation:
Take the two distances and add them together and simplify.
Answer: 1 & 1/4 mile
Explanation:
1/2 = 2/4
She walked 2/4 of a mile in the morning and 3/4 of a mile in the afternoon. The total she walked is 5/4 of a mile. We add the numerators and place the sum over the common denominator.
The improper fraction 5/4 converts to the mixed number 1 & 1/4, since,
5/4 = (4+1)/4 = 4/4 + 1/4 = 1 + 1/4 = 1 & 1/4
Which expression has a coefficient of 4?
A
(2^x)+4
B
4(2^x)+1
C
2(x^4)+1
D
2(4^x)+1
Answer:
Option D
Step-by-step explanation:
[tex]\\ \sf\longmapsto 2(4^x)[/tex]
You have to first find 4^x and then multiply it with two .Not like this
[tex]\\ \sf\longmapsto 2(4^x)=8^x [/tex](×)
Hence the variable has coefficient 4 as 4^x is multiplied.
This shape is broken up into rectangles. What is the area of the
entire shape?
Answer:
38inch2
Step-by-step explanation:
3inch*2inch+8inch*4inch
=6inch2+32inch2
=38inch2
HELPP! PICTURE ATTACHED
find f(2)
Answer:
f(2) = Unidentified
Step-by-step explanation:
f(2) = ((2) +4)^2/(2)^2+2(2)-8
We can simplify the equation and get 36/4+4-8. After we simplify that we get 36/0. Since we have 0 as our denominator we know that our whole answer is unidentifiable.
Ms. Chapman wants to take her scout troop to Neon Nights roller rink. The employee she spoke to ahead of time said the total cost for all 9 people in the group would be $81. This includes an entrance ticket and a $3 skate rental fee for each person. Which equation can you use to find t, the cost of each entrance ticket? How much does each entrance ticket cost? $
The cost of the entrance ticket is $6.
The equation that can be used to represent the information in the question is:
Total cost = (number of students x entrance fee) + (cost to rent a skate x number of students)
$81 = 9t + ($3 x 9)
$81 =9t + $27
In order to determine the value of t, the following steps would be taken:
Combine similar terms
$81 - $27 = 9t
Subtract similar terms
54 = 9t
Divide both sides of the equation by 9
t = $6
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HELP ME PLS
Ursula has fraction 1 over 2 cup of butter. She uses fraction 1 over 4 cup of butter to make a batch of brownies.
Part A: How many batches of brownies can Ursula make with fraction 1 over 2 cup of butter? (4 points)
Part B: On your own paper, draw a fraction model that shows the total number of batches of brownies that Ursula can make with fraction 1 over 2 cup of butter. Make sure to label the model. Below, explain your model in detail to describe how this model visually shows the solution for Part A. (6 points)
Answer:
i think its 1/2
Step-by-step explanation:
Answer:
A. 1/2
1 over 2 is equal to 1/2
B. 1/2 Batch
The width of a rectangle is 6x−6.5 feet and the length is 6.5x+7 feet. Find the perimeter of the rectangle.
Answer: 25x+1
Step-by-step explanation:
We cam make an equation to find the perimeter, [tex]2(6x-6.5)+2(6.5x+7)[/tex].
then we can simplify it to [tex]12x-13+13x+14[/tex], which we can then further simplify to 25x+1
A paper company ships notepads in rectangular boxes that have dimensions measuring 9 inches long, 9 inches wide, and 10 inches tall. Show work. Complete sentences.
V = LWH The volume of a rectangular prism / cube is equal to the length times the width times the height.
a. What is the volume of the box?
b. Each notepad is in the shape of a cube with an edge length of 3 inches. What is the volume of each notepad?
c. What is the maximum number of notepads that will fit in 1 closed box
i will give brainliest :)
Answer:
a. 810
b. 27
c. 30
Step-by-step explanation:
Part a.
The volume is 9 * 9 * 10.
9 * 9 = 81, and 81 * 10 = 810.
Part b.
The volume of a cube is x^3, where x is the side length of the cube.
If x = 3, then 3^3 = 27.
Part c.
If each notebook has a volume of 27, then the maximum amount of notebooks that will fit in a box with volume 810 is 810/27 = 30 notebooks
a. The volume of the rectangular box is 810 inch³.
b. The volume of the notepad is 243 inch³.
c. The maximum number of notepads that will fit inside the box is 3.
What is a cuboid?A cuboid is a three-dimensional closed figure which has volume along with surface area.
The volume of a cuboid is the product of its length, width, and height.
The total surface area of a cuboid is 2(lw + wh + wl) and the lateral surface area is 2(l + w)×h.
Given, A paper company ships notepads in rectangular boxes that have dimensions measuring 9 inches long, 9 inches wide, and 10 inches tall.
Therefore, The volume of the box is, = (9×9×10) inch³.
= 810 inch³.
The dimensions of the notepad are 9 inches by 9 inches with an height of 3 inches.
Therefore, The volume of the notepad is = (9×9×3) = 243³ inches.
The maximum number of notepads that will fit inside thebox is,
= (810/243).
= 3.33 but it sholud only be 3 notepads.
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Find the slope of the line through (1, 2) and (- 9,7).
Step-by-step explanation:
formula y2-y1 / x2-x1
m = 5 / -10 = 1 / -2 = -0.5
What’s the answer to the equation
Answer:
To solve an equation is to determine the values of the variable that make the equation a true statement. Any number that makes the equation true is called a solution of the equation. It is the answer to the puzzle!
What is the sum of £4(0.5) "1?
n=1
O S=1.5
OS = 2
O S = 4.5
O S= 8
A baseball player on a professional baseball team has 207 hits in 575 at-bats. What
is the ratio of hits to at-bats? Choose the correct answer in the most simplified
form:
Answer:
9/25
Step-by-step explanation:
find a number that both the top and bottom are divisible by,
23 is the greatest common division we can make such that the top and bottom remain whole numbers
so,
[tex]\frac{207 }{575}[/tex] ÷23
=(207/23)÷(575/23)
=[tex]\frac{9}{25}[/tex]
help please please help
Answer:
24/35
Step-by-step explanation:
Hope this helps!:)
A polygon with both equal angles and equal sides is called
Answer:
It's called a regular polygon
Answer:
A regular Polygon
Step-by-step explanation:
A pianist charges $200 to perform at a restaurant. At the end of the night she collected her tips and left with a total earning of $310. Write an equation and solve for the amount she made in tips for the performance.
Answer:
310-200= T
Step-by-step explanation:
310 = 200 + x
Let’s break this down. 310 is their total earning, 200 is our set price for performing, and x represents how much she earned in tips.
310 = 200 + x
110 = x
Hope this helps!