Answer:
\(\huge\boxed{\sf x = 9}\)
Step-by-step explanation:
Given equation:3(x + 4) - 11 = 28
Add 28 to both sides3(x + 4) = 28 + 11
3(x + 4) = 39
Distribute3x + 12 = 39
Subtract 12 from both sides3x = 39 - 12
3x = 27
Divide both sides by 3x = 27/3
x = 9\(\rule[225]{225}{2}\)
The perimeter of a rectangle with a diagonal of 15cm is 42. Find the width
Answer:
width = 6 cm
Step-by-step explanation:
since the diagonal is 15, and since both a rectangle has both sides, be double the diagonal.
15 x 2 = 30
diagonal (both sides) = 30
since we know the full perimeter and are looking to find the width, we will subtract both sides of the diagonal from the perimeter.
42 - 30 = 12
width (both sides) = 12
in order to get the width of one side, we will need to divide it in half.
12 / 2 = 6
width = 6 cm
hope this helps :)
Which statement best describes the area of Triangle ABC shown below? A triangle ABC is shown on a grid. The vertex A is on ordered pair 4 and 6, vertex B is on ordered pair 6 and 1, and the vertex C is on ordered pair 2 and 1. It is twice the area of a rectangle of length 4 units and width 5 units. It is one-half the area of a rectangle of length 4 units and width 5 units. It is twice the area of a square of side length 5 units. It is one-half the area of a square of side length 5 units.
Answer:
It is one-half the area of a rectangle of length 4 units and width 5 units.
what decimal is equivalent to 41 over 100 (pls keep it simple i am only in 5th grade )
Answer: 0.41
Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).
41 over 100 as a decimal point would be 41 divided by 100
Which produces the equivalent decimal, 0.41
P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)
0.41 = 41%
so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)
Best of luck in 5th grade :)
Name 4 noncoplanar points.
Answer:
RPVN
Step-by-step explanation:BRBR
Which function is the inverse of f(x) = -5x- 4?
Answer:
Inverse of \(- 5 x - 4 =\) \(\frac{x + 4}{5}\)
Step-by-step explanation:
Let y = -5x-4
Swap y and x
x = -5y -4
Solve for y
x+4 = -5y
\(y=- \frac{x + 4}{5}\) which is the inverse
7k - 3k + 11, can somebody please help me out?
Answer:
4k+11=4011
Step-by-step explanation:
7k - 3k=4k
4k+11=4011
determine whether or not the representation is a function or not will mark brainiest
Answer:
NoStep-by-step explanation:
the graph shown is not a function,
because it does not pass the vertical line test
Hello someone tell me what I should do. Don't give answer just tell me.
Answer and Step-by-step explanation:
-2 + 23x is an angle, and since the angles are all 90 degrees (shown with the red square), -2 + 23x = 90
Solve for x.
-2 + 23x = 90
Add 2 to both sides.
23x = 92
Now divide by 23 on both sides to obtain x.
x = 4
x is equal to 4.
#teamtrees #WAP (Water And Plant)
A book has a front and a back and 400 pages.
The front and back cover are each 0.9mm thick measured to 1 decimal place.
Each page is 0.13mm thick measured to 2 decimal places.
What is the minimum thickness of the book?
Answer:
53.8mm
Step-by-step explanation:
(.9*2)+400(1.3)=53.8
branliest please...
You are designing a container in the shape of a cylinder. The radius is 5 inches. You want the container to hold at least 725π cubic inches. What is the least possible height of the container?
Answer:
h = 14.5 in
Step-by-step explanation:
Data
radius = 5 in
Volume = 725 π in³
height = ?
Formula
Volume = 2πr²h
Substitution
725 π in³ = 2πr² h
h = 725π / 2πr²
h = 725 / 2(5)²
h = 725 / 50
h = 14.5 in
ANSWER PLEASE !!!!!!
Answer:
B= 40 degress
Step-by-step explanation:
1x+ 5xc /3xc = 40
A box has a width of 10 cm and a length of 17 cm. The volume of the box is decreasing at a rate of 527 cubic cm per minute, with the width and length being held constant. What is the rate of change, in cm per minute, of the height when the height is 6 cm?
Round your answer to the nearest hundredth. (Do not include any units in your answer.)
Therefore, the rate of change, in cm per minute, of the height when the height is 6 cm is approximately -6 cm/min.
Given,The width of the box = 10 cm Length of the box = 17 cmThe volume of the box = 527 cubic cm/minWe need to find the rate of change, in cm per minute, of the height when the height is 6 cm.We know that the volume of the box is given as:V = l × w × h where, l, w and h are length, width, and height of the box respectively.It is given that the width and length are being held constant.
Therefore, we can write the volume of the box as
:V = constant × h Differentiating both sides with respect to time t, we get:dV/dt = constant × dh/dtNow, it is given that the volume of the box is decreasing at a rate of 527 cubic cm per minute.
Therefore, dV/dt = -527.Substituting the given values in the above equation, we get:
527 = constant × dh/dt
We need to find dh/dt when h = 6 cm.To find constant, we can use the given values of length, width and height.Substituting these values in the formula for the volume of the box, we get:
V = l × w × hV = 17 × 10 × hV = 170h
We know that the volume of the box is given as:V = constant × hSubstituting the value of V and h, we get:
527 = constant × 6 cm
constant = 87.83 cm/minSubstituting the values of constant and h in the equation, we get
-527 = 87.83 × dh/dtdh/dt = -6.0029 ≈ -6 cm/min
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FREE BRAINLIST NEED HELP ASAP
Answer:
G
Step-by-step explanation:
When you go left or down you subtract
WHen you go right or up you add
Answer:
Step-by-step explanation:
(x-8, y-13) to move left 8 and down 13
Sort the angles as acute, right, obtuse, or straight.
The top angle is right (90 degrees, kinda looks like a bent elbow).
The 2nd is acute (smaller than 90, kind of 'cute' bc it's small).
The 3rd is obtuse (greater than 90, I have nothing corny to say, sorry).
4th is acute.
5th is straight because it's a straight line.
6th is also obtuse.
Have a good day :)
Which deduction is optional
The deduction that is optional is C. Retirement plan deductions.
How is this deduction optional ?When contributing to a retirement plan like a 401(k) or an Individual Retirement Account (IRA), you receive deductions from your taxable income. Essentially, whatever amount of money contributed towards the retirement fund can be subtracted from your total annual income.
Consequently, the entire amount cannot then be seized for taxation purposes. Let's say, for instance that you earn $50,000 annually and contribute $5,000 into your account; this would imply your taxable revenue reduces to $45,000.
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Options for this question are:
A. State taxes B. Federal taxes C. Retirement planD. FICASuppose we have two random variables X and Y . The one with a
higher coefficient of variation exhibits higher variability Is true, false or uncertain?
The statement that the one with a higher coefficient of variation exhibits higher variability is true.
How to explain thisThe coefficient of variation expresses the proportionate level of variability present in a random variable and can be determined by dividing the mean by the standard deviation.
If the coefficient of variation is higher, it means that the random variable shows more variation in relation to its mean.
To illustrate, suppose that the average height of a set of males is 6 feet with a standard deviation of 2 inches.
The variance ratio would result in a coefficient of variation of 0. 033 Suppose that a group of females has an average height of 5 feet with a standard deviation of 1 inch.
The women's coefficient of variation is calculated to be 0. 02 The variance of men's height in relation to their average height is indicated by their higher coefficient of variation.
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what is this 16/6.72 thank you
29023789236+8974937077834758371=
A wire is 71cm long . you wish to cut it into two pieces. One piece is bent into shape of triangle with legs of equal length .The piece is to be bent into shape of circle .
To solve this problem, we need to find the lengths of the two pieces when the wire is cut into two parts. Let's denote the length of each leg of the triangle as\(\(x\).\)
The perimeter of the triangle is the sum of the lengths of its three sides. Since the two legs are equal in length, the perimeter can be expressed as \(\(2x + x = 3x\).\)
The length of the wire is given as 71 cm, so we have the equation \(\(3x = 71\).\)
Solving for\(\(x\),\) we divide both sides of the equation by 3:
\(\(x = \frac{71}{3}\).\)
Now that we know the length of each leg of the triangle, we can proceed to the next part of the problem.
The circumference of a circle is given by the formula \(\(C = 2\pi r\)\), where\(\(C\)\)is the circumference and r is the radius. In this case, the wire of length xis bent into the shape of a circle, so we can set the circumference equal to x and solve for the radius r:
\(\(x = 2\pi r\).\)
Substituting the value of x we found earlier, we have:
\(\(\frac{71}{3} = 2\pi r\).\)
Solving for r, we divide both sides of the equation by \(\(2\pi\):\)
\(\(r = \frac{71}{6\pi}\).\)
Therefore, the two pieces of wire will have lengths\(\(\frac{71}{3}\)\)cm and the radius of the circle will be\(\(\frac{71}{6\pi}\)\) cm.
In summary, when the 71 cm wire is cut into two pieces, one piece will have a length o\(\(\frac{71}{3}\)\)cm, which can be bent into the shape of an equilateral triangle with legs of equal length, and the other piece can be bent into the shape of a circle with a radius of \(\(\frac{71}{6\pi}\)\) cm.
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William is 6 years older than Camila. Nine years ago he was twice Camila’s age. How old is he now?
The solution is, he is now 21 yrs old.
What is simplification?Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
here, we have,
given that,
William is 6 years older than Camila.
Nine years ago he was twice Camila’s age.
let, he is now = x yrs
Camila’s age = y yrs.
so, we get,
x-y = 6 .....(1)
and, x-9 = 2(y-9) ....(2)
solving we get,
x-9 = 2(x-6-9)
or, x = 21
Hence, The solution is, he is now 21 yrs old.
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Find the value of each:Part a4 -6 + 15 + 15 =Part b50-42+10=
For this case we have the following expression given:
\(4-6+15+15\)If we operate the first two terms we got:
\(-2+15+15=-2+30\)And then we can add the final two terms and we got:
\(-2+30=28\)For the second part we have:
\(50-42+10=8+10=18\)I need some help!!! I will try to give brainliest!!!
Answer:
54 ft cubed
Step-by-step explanation:
Area of this rectangular prism is Base, Height, Length all multiplied.
3 * 3 * 6
9 * 6
=54
What is the m∠J, to the nearest tenth? JLK is right angle triangle. The length of JL is 9.4 and length of LK is 15.1. explaination?
The angle m∠J in the right angle triangle is 58.1 degrees.
How to find the angle of a triangle?One of the angle of a right tangle triangle is 90 degrees. The sum of
angles in a triangle is 180 degrees.
Therefore, the side length LK can be found using Pythagoras's theorem and the angle can be found using trigonometric ratios.
Hence,
tan ∠J = opposite / adjacent
tan ∠J = 15.1 / 9.4
∠J = tan⁻¹ 1.60638297872
∠J = 58.0909229196
Therefore,
m∠J = 58.1 degrees
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Brennan knew his parents had set up their will some years ago. Neither he nor his sister, Maureen, had ever discussed the will with their parents. When both parents passed away, they met with the family lawyer about the will. What they found was that the money their parents had been giving them over the last few years was a gift and part of their estate planning. The gifts reduced the size of the estate to ensure the value of the estate upon their passing would be under the tax-free limit.
Their parents had not really talked with Brennan or Maureen about how the “gift” money they had been receiving would affect their final inheritance. As they listened to
the estate lawyer give them details of their inheritance, they were shocked to learn there was less than what they had thought.
1. Discuss your thoughts on how Brennan’s and Maureen’s parents handled the informationin the will prior to their passing. Should the parents have explained more clearly about the “gift” money and how it affected their inheritance?
2. What responsibility did Brennan and Maureen have to discuss the will with their parents?
3. What experience do you have with a family member’s will? How would you approach
the topic of writing a will with a family member?
1.It is generally considered best practice for parents to discuss their intentions with their children and heirs to avoid confusion or misunderstandings.
2.As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had.
3.I have personally not had experience with a family member's will. However, I believe it is important to approach the topic of writing a will with sensitivity and empathy.
1. While it is understandable that Brennan and Maureen's parents may have wanted to keep their financial affairs private, their lack of communication may have caused confusion and disappointment for their children. Ideally, the parents should have discussed their estate planning with their children and explained the impact of the gifts on their final inheritance.
2. As potential heirs, Brennan and Maureen had a responsibility to communicate with their parents about their estate planning and express any concerns or questions they had. While it can be difficult to broach sensitive topics like death and inheritance, it is important for family members to have open and honest communication to prevent misunderstandings or disputes down the line.
3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.
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Find the recursive rule for the following sequence. -3, 2, 7, 12, 17,
Answer:
+5
Step-by-step explanation:
There is a length of 5 between all numbers, meaning that 5 is added to each number to get the next one.
I hope this helps!
If you borrow $60.00 at 10% interest, how much will you pay in one month?
Answer:
In one month we have to pay an interest of $0.5.
Step-by-step explanation:
We are given that you borrow $60.00 at 10% interest and we have to find how much we have to pay in one month.
Let the Principal sum of money = P = $60
the rate of interest = R = 10%
Time period = T = \(\frac{1}{12}\)
Assuming the interest is simple interest, so the formula for simple interest is given by;
Amount = Principal + Simple interest
A = P + ( \(\frac{\text{P}\times \text{R}\times \text{T}}{100}\) )
A = \(60 + \frac{60 \times 10 \times 1}{100 \times 12}\)
A = 60 + 0.5 = $60.5
So, in one month we have to pay an interest of $0.5.
Jimmy is going to the store to buy candles. Small candles cost $3.50, and large candles cost $5.00. He needs to buy at least 20 candles, and he cannot spend more than $80. Let x represent the number of small candles and y represent the number of large candles.
The inequalities that can be used to represent the situation are:
3.50x + 5y ≤ $80x + y ≥ 20.What are inequalities?Inequalities are mathematical statements showing that two or more mathematical expressions are unequal.
With inequalities, two or more values are compared to show that they are not equivalent.
Inequalities can be represented as follows:
≤: "less than or equal to"<: "less than"≠: "not equal to">: "greater than"≥: "greater than or equal to."The cost of small candles per unit = $3.50
The cost of large candles per unit = $5.00
The number of small candles = x
The number of large candles = y
The number of candles Jimmy needs to buy ≥ 20
The total amount Jimmy can spend on the candles ≤ $80
Inequalities:3.50x + 5y ≤ $80
x + y ≥ 20
Thus, with these inequalities, the total cost of small and large candles must not exceed $80 and the number can be 20 or more.
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Question Completion:Show the two inequalities representing the situation.
*THIS QUESTION IS WORTH 80 POINTS TO WHOEVER CAN GIVE ME THE SOLUTION AND ANSWER TO THIS QUESTION:*
Question:
A school is organizing a classical music concert to finance a skiing trip. There are 100 tickets for sale: $ 15 tickets for adults and $ 9 for youth. Students sold three times as many adult tickets as youth tickets.
The goal of amassing $ 800 has been exceeded. In total, how many tickets were sold?
Answer:
there were 18 adult tickets were sold and 54 kid tickets were sold so there were 72 tickets sold
Step-by-step explanation:
15 x 18 = 270 x 3 = 810
or if lower 15 x 17 = 255 x 3 = 765
Answer:
10,800
Step-by-step explanation:
75% of all purchases are 15$ and 25% of them are 9$ so if you get 75% of 800, 600, and 25% of it , 200, and multiply 600 by 15 and 200 by 9 you would get 9000 and 1800. and then add them you would get 1800.
i think
The dot plot shows the time trials of an experiment. Each number on the dot plot represents the amount of time, in seconds, it took to complete a trial. How many time trials were recorded during the experiment? Enter the answer in the box. time trials A number line ranging from 15 to 25 with two dots over 15, three dots over 17, two dots over 19, two dots over 20, one dot over 21, four dots over 23, one dot over 24, and three dots over 25.
There were 18 time trials recorded during the experiment.
To determine the number of time trials recorded during the experiment, we count the total number of dots on the dot plot.
According to the given information, we have:
- Two dots over 15
- Three dots over 17
- Two dots over 19
- Two dots over 20
- One dot over 21
- Four dots over 23
- One dot over 24
- Three dots over 25
By adding up these counts, we get:
2 + 3 + 2 + 2 + 1 + 4 + 1 + 3 = 18
Therefore, there were 18 time trials recorded during the experiment.
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Please help! 35 points
Answer:
10.A
11.A
12.A
Step-by-step explanation:
thank me later