Answer:
x = 2.20
Step-by-step explanation:
3(x+3)^2 = 81
(x+3)^2 = 81/3
(x+3)^2 = 27
x+3 = 5.20
x = 5.20 - 3
x = 2.20
Answer:
a
Step-by-step explanation:
Given
3(x + 3)² - 81 = 0 ( add 81 to both sides )
3(x + 3)² = 81 ( divide both sides by 3 )
(x + 3)² = 27 ( take the square root of both sides )
x + 3 = ± = ± 3 ( subtract 3 from both sides )
x = - 3 ± 3
x = - 3 - 3 or x = - 3 + 3 → a
4d+ 8 in distributive property expression
Answer:
Step-by-step explanation:
Greatest common factor of 4d and 8 is 4
4d + 8 = 4d + 4*2
=4(d + 2)
Kevin is taking a two-part test in social studies
Part 1 is multiple choice and worth 60 points.
Part 2 is an essay portion and worth 40 points.
He must earn at least 86 points to pass the
class. If his teacher already graded Part 1
and he earned 54 points, how many points
will he need to earn on Part 2? Help asap!!!!!
Answer:
32
Step-by-step explanation:
subract the amount he needs by the number he has
There are 32 points will he need to earn on Part 2.
What is mean by Subtraction?Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
We have to given that;
Kevin is taking a two-part test in social studies.
Part 1 is multiple choice and worth 60 points.
And, Part 2 is an essay portion and worth 40 points.
Here, He must earn at least 86 points to pass the class.
And, His teacher already graded Part 1 and he earned 54 points.
Hence, Number of points will he need to earn on Part 2 is,
⇒ 86 - 54
⇒ 32
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What is the value of x in the solution to this system of linear equations?
x+y=4
x-y=6
Answer:
X = 5
Step-by-step explanation:
x+y=4
x-y=6
Substitute x = 4 - y
4 - y - y = 6
Substitute y for -1
x = 4 - (-1)
x = 5
Find the probability that a randomly selected student prefers dogs or is female enter answer as a fraction or decimal
To find the probability that a randomly selected student prefers dogs or is female, we need to add the probabilities of these two events. If we assume that these events are independent, we can estimate the probability by multiplying the probabilities of each event.
Explanation:To find the probability that a randomly selected student prefers dogs or is female, we need to add the probabilities of these two events. Let's say the probability of a student preferring dogs is P(D) and the probability of a student being female is P(F). Then, the probability that a student prefers dogs or is female, P(D or F), is given by P(D or F) = P(D) + P(F) - P(D and F).
Since we don't have the individual probabilities P(D) and P(F), we can't calculate the exact probability. However, if we assume that these events are independent, we can estimate the probability by multiplying the probabilities of each event.
For example, if the probability of a student preferring dogs is 0.4 and the probability of a student being female is 0.6, then the estimated probability that a randomly selected student prefers dogs or is female would be 0.4 + 0.6 = 1.
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What are the solutions of x2 + 10x + 16 = 0?
x2 + 10x + 16 = 0
(x + 2)(X + 8) = 0
x + 2 = 0 or X + 8 = 0
and x =
1. Write the equation in standard form.
2. Factor the polynomial.
3. Apply the zero product property.
4. Solve the resulting equations.
Answer:
-2 and -8
Step-by-step explanation:
on edge
Answer:
x = -2 and x = -8
Step-by-step explanation:
I don't know if you can see the screenshot but I got it right on edge. Good luck :)
A
B
C
D
what is the answer!
Answer:
-20
Step-by-step explanation:
Substitute a point into the equation
y = -10x+b
-320 = -10(30) + b
-320 = -300+b
Add 300 to each side
-320+300 =-300+300+b
-20 =b
195
What is the area of the following circle?
Either enter an exact answer in terms of T or use 3.14 for I and enter your answer as a decimal.
d = 14
Answer:
A =153.86
Step-by-step explanation:
The diameter is 14
That means the radius is 7
r = d/2 = 14/2 = 7
The area of a circle is
A = pi r^2
A = 3.14 * 7^2
A =153.86
Over the course of the semester, Donnie's eight test scores averaged a 76. He looked through his notebook, but he could only find seven of the tests. The test scores he has in his notebook are 71, 92, 87, 75, 64, 70, 83. What score did Donnie make on the test that is missing from his notebook?
A) 62
B) 66
C) 72
D) 77
E) 82
Donnie's average test score is 76 for all eight tests. The sum of his seven known test scores is 542. To find the missing score, subtracting this sum from the sum of all eight scores gives a missing test score of 66.
The correct answer is option B.
To find Donnie's score on the missing eighth test, we can use the fact that the average of all eight test scores is 76.
The sum of the eight test scores is 8 * 76 = 608 (since the average is calculated by summing all the scores and dividing by the number of scores).
Now, we know the sum of the seven test scores in his notebook:
71 + 92 + 87 + 75 + 64 + 70 + 83 = 542
To find the missing score, subtract the sum of the known scores from the sum of all eight scores:
608 - 542 = 66
So, Donnie's score on the missing eighth test is 66.
The correct answer is: B) 66
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If bc = 11 cm and tan ABC= 8 over 11 what is the area of angle ABC
Answer:
The Answer is D
Step-by-step explanation:
The area of the given triangle would be 44 cm². Hence, option (d) is true.
Used the formula for the area of a triangle,
Area of triangle = 1/2 × Base × Height
Given that,
The triangle ABC is shown in the image.
Here, BC = 11 cm
Tan ∠ABC = 8/11
Used the formula for tan x,
tan x = AC/BC
8/11 = x/11
x = 8 cm
Since, Area of triangle = 1/2 × Base × Height
Base = 8 cm
Height = 11 cm
So, we get;
A = 1/2 × 8 × 11
A = 44 cm²
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What is 0.313131 as a fraction
Answer
the answer for this question is 31/99
x = 0.3131313...
100x = 31.31313...
99x = 31
x = 31/99
which number line model represents the expression -1/2 + 5/4 i will give brainlest
Answer:B
Step-by-step explanation:
The expression -1/2 + 5/4 represents a point on an numerate line approximately three-quarters of the way between 0 and 1, to the right of zero.
Explanation:To represent the expression -1/2 + 5/4 on a numeral line, it is important first to understand the properties of fractions and their positioning on a numeral line. The fraction -1/2 is situated to the left side of the zero point. The fraction 5/4 is situated slightly beyond the whole number 1, given that it is greater than 1.
To visualize the sum, one can evaluate the fraction numerically, or equivalently, approximately 0.75 when converted to decimals. Since 0.75 is a positive value, it will be on the right side of 0 on the number line, but still within the range of the first whole number (1).
In conclusion, the expression -1/2 + 5/4 represents a point on a number line that is three-quarters of the way between 0 and 1, to the right of the 0, indicating a positive fraction when visualized on a number line.
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Cost to store
Percent of markup: 15%
Selling price: $85.10
Final answer:
To find the original cost before a 15% markup that results in an $85.10 selling price, divide the selling price by 1.15, which gives you $74.00.
Explanation:
The question is asking how to calculate the original cost of a product, given the selling price and the percent of markup. We can use the following formula to find the original cost (also known as the cost price):
Original Cost = Selling Price / (1 + Markup Percentage)
First, convert the percent of markup from a percentage to a decimal by dividing by 100:
15% / 100 = 0.15
Then apply the formula using the given selling price of $85.10:
Original Cost = $85.10 / (1 + 0.15)
Original Cost = $85.10 / 1.15
Original Cost = $74.00
Therefore, the original cost of the item before the 15% markup was applied is $74.00.
Pythagorean theorem
Answer:
well.....also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
a^2+b^2=c^2
A=side of right triangle
B=side of right triangle
C=Hypotenuse
if i could get brainliest that would be great
Answer:
The sum of the squares of the legs is equal to the Hypotenuse Square.
Step-by-step explanation:
Its very helpful to use the guide A^2 + B^2 = C^2 when doing a problem.
For example - ---------------> A^2 +B^2= C^2
2^2 +3^2 = C^2
4 + 9 =C^2
13 = C^2
[tex]\sqrt{13} = C[/tex]
Hope this helps!!
Two boys on bicycles start from the same place and ride in opposite directions. One ndes
one. In 3 hours, they are 27 kilometers apart. What is the rate of speed for each boy
pposite directions. One ndes twice as fast as the other
Final answer:
The rate of speed for the slower boy is 3 km/h, while the rate of speed for the faster boy is 6 km/h.
Explanation:
The rate of speed for each of the two boys can be determined by using the formula:
Rate of speed = Distance / Time
Let's assume the rate of speed of the slower boy is 'x' km/h. Therefore, the rate of speed of the faster boy is '2x' km/h, as mentioned in the question.
For the slower boy: Distance = Speed * Time. Therefore, 3x = x * 3. Solving this equation, we get x = 0 which indicates that the slower boy is not moving.
For the faster boy: Distance = Speed * Time. Therefore, 3 * 2x = 6x.
According to the question, the total distance covered by both boys is 27 km in 3 hours. So, 6x + 3 * 2x = 27. Solving this equation, we get x = 3.
Therefore, the rate of speed for the slower boy is 3 km/h and the rate of speed for the faster boy is 6 km/h.
I woke up at 6:47 a.M. I spent 25 minutes showering and getting dressed then I walked down stairs. I got downstairs at _______. I then ate breakfast and read a book for ____ minutes before leaving the house at 7:42 a.M.
Answer:
You got down stairs at 7:12, and you ate breakfast and read a book for 30 minutes.
Step-by-step explanation:
6:47 + 25 = 7:12
7:42 - 7:12 = 30 minutes
Hope this help
The Sunday Times had 14 sections with an average of 16 pages per section. How many pages were in the entire newspaper?
Answer:
224 pages total
Step-by-step explanation:
To find how many total pages, you have to multiply the number of sections by the number of pages in each section. 14 sections times 16 pages per section equals a total of 224 total pages.
PLZ HELP QUICK WILL GIVE BRAINLIEST
Hilda plans to display in a clear cube the needle Betsy Ross used to sew the first American flag. The needle will fit exactly as the diagonal of the cube.
If the side length of the clear cube is 6 inches, and the diagonal of a face of the cube is 6
inches, what is the length of the needle
Answer: the length of the needle is 8.49 inches.
Step-by-step explanation:
The diagram of the clear cube is shown in the attached photo. From the diagram, a right angle triangle ABC is formed.
BC represents the diagonal of a face of the cube.
AB represents the the side length of the clear cube.
AB = h represents the length of the needle
To determine AB, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
AB² = 6² + 6² = 72
AB = √72
AB = 8.49
A dozen oranges $2.00. How many oranges can be bought for $10.00?
ANSWER IS 60
EXPLAIN- 10/2= 5
5 TIMES 12= 60
What is the area of a rectangle with a base of 12mm and a height of 1.4mm?
Answer: 16.8mm2
Step-by-step explanation:
12x1.4=16.8
Please help, mathematics—probabilities.
Answer:
I would expect it to change, because experimental probability is based on the experiment unlike theoretical probability which is based in equations.
Step-by-step explanation:
Which line segment is not a diagonal through the
interior of the cube shown?
BE
CH
CE
DG
Answer:
CE
Step-by-step explanation:
Just answered the question
Factor x2 + 5x - 24 A) (x + 8)(x - 3) B) (x + 3)(x - 8) C) (x + 6)(x + 4) D) (x + 2)(x - 12)
Answer:
a) (x+8) (x-3)
Step-by-step explanation:
the 2 factors of -24 that equal 5 is 8 and -3 because 8×-3 is -24 and 8-3 is 5.
4. A cylinder has a height of 7 cm and a base with a diameter of 10 cm. Determine the volume, in cubic centimeters, of the cylinder in terms of pi
Answer:
[tex]549.8cm^{3}[/tex]
Step-by-step explanation
identify the variables - h = 7 d = 10
radius is half of the diameter - r = 5
V = πr2h use volume of a cylinder formula
V = π(5) (7) substitute variables into formula
V = 549.778714378 multiply
V = [tex]549.8cm^{3}[/tex] round to the nearest tenths place
Final answer:
To find the volume of a cylinder with a given height and base diameter, you need to use the formula V = πr²h. In this case, with a base diameter of 10 cm and a height of 7 cm, the volume is 275.75 cm³.
Explanation:
In this case, we are dealing with the volume of a cylinder with a given height and base diameter. The formula to find the volume of a cylinder is V = πr²h, where r is the radius and h is the height.
Given the base diameter of 10 cm, the radius (r) is half of the diameter, so r = 5 cm. Plugging in the values, we get V = 3.142 × (5 cm)² × 7 cm = 275.75 cm³.
What is the answer when you add. 2/100 + 4/10
Answer:
0.42 or 21/50
Step-by-step explanation:
2/100=0.02 or 1/50
4/10=0.4 or 2/5
0.4+0.02=0.42
1/50+2/5=21/50
4x+41=71 find the value of x
Answer: x = 7.5
Step-by-step explanation:
4x + 41 = 71
Subtract 41 from each side
4x = 30
Divide each side by 4
x = 7.5
Answer:
7.5
Step-by-step explanation:
4x+41 = 71
Subtract 41 from both sides
4x = 30
Divide both sides by 4
x = 7.5
How you do this
I need help
I’m crying
Answer:
2
Step-by-step explanation:
A 30 60 90 triangle tells us all the sides as long as we know one of the sides. (you can google it and it will show you). Looking at the picture added below, we can solve for j. The x in the picture is j and the 2x in the picture is 4. Thus we know that 2x=4 which means x=2
Find each percentage of 60.
3% of 60
Answer:
1.8
Step-by-step explanation:
We want 3% of 60 = 0.03 * 60 = 1.8
PLEASE HELP!!
The height of a triangle is 4 inches more than twice the length of the base. The area of the triangle is 35 square inches. Find the height of the triangle.
Triangle PQR is similar to triangle DEF as shown.
6 cm
cm
P
6 cm
R
D
9 cm
Which describes the relationship between the corresponding sides of the two triangles?
Answer: [tex]\frac{PQ}{PR} = \frac{DE}{DF} (because \frac{4}{6} =\frac{6}{9} )[/tex]
The triangles ΔPQR and ΔDEF are similar and PQ / PR = DE / DF
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ΔPQR
Let the second triangle be represented as ΔDEF
The measure of side PQ = 4 cm
The measure of side PR = 6 cm
And , the measure of side DE = 6 cm
The measure of side DF = 9 cm
So , the ratio of corresponding sides of similar triangles are in the same ratio
On simplifying , we get
PQ / PR = DE / DF
4/6 = 6/9
2/3 = 2/3
Hence , the triangles are similar
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Unit Test
Active
What is the measure of LY?
Answer:
9.46 × 1012 kilometres or about 5.88 × 1012 (nearly six trillion miles)
Step-by-step explanation: