Answer:
I'm not too sure, since I'm doing the same thing in math now too. I think it's since you're adding another number that is a perfect square in order to factor the quadratic equation.
Step-by-step explanation:
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√y - 2 = 8 then y =
Answer:
100
I want brainliest
Step-by-step explanation:
sqareroot of y -2=8
10-2=8
sqare root 10^2-2=8
y=100
Answer:
y = 100
Step-by-step explanation:
Assuming you mean sqrt(y) - 2 = 8
Add 2 to each side
sqrt(y) - 2+2 = 8+2
sqrt(y) = 10
Square each side
y = 10^2
y = 100
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
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
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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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
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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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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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
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)
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.
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!!
The Smiths spend 7% of their budget on entertainment. Their total budget this year is $1,000 more than
last year, and this year they plan to spend $3,150 on entertainment. What was their total budget last year?
Their total budget last year was
Answer:
Their total budget last year = $44,000
Step-by-step explanation:
Let last year's budget be x
let total budget this year be y
we are given the following information
y = 1000 + x - - - (1) (Their total budget this year is $1,000 more than last year)
7% of y = $3,150
7/100 × y = 3,150
0.07y = 3,150
y = 3,150 ÷ 0.07 = $45,000
Therefore, budget this year = $45,000
from equation 1
y = 1000 + x - - - (1)
∴ x = y - 1000
x = 45,000 - 1000 = $44,000
Therefore their total budget last year = $44,000
Final answer:
To find the Smiths' total budget last year, divide the amount they plan to spend on entertainment this year ($3,150) by 7% to calculate this year's budget ($45,000), then subtract the $1,000 increase from last year to reach the total budget for last year ($44,000).
Explanation:
To determine the Smiths' total budget last year, we need to work backwards from the amount they plan to spend on entertainment this year, which is $3,150. Given that entertainment costs represent 7% of their total budget, we can calculate their total budget for this year by dividing the entertainment expenditure by 7% (or 0.07). Once we have their budget for this year, we can subtract the $1,000 increase to find their budget for last year.
Let's calculate the total budget for this year:
Total budget this year = $3,150 / 0.07 = $45,000
Now, to find last year's budget, we subtract the $1,000 increase:
Total budget last year = $45,000 - $1,000 = $44,000
Therefore, the Smiths' total budget last year was $44,000.
Help me answer this please : The new cost of an iPhone 11 is $700. You decide to put this on your credit
card that earns 9% (0.09). When the bill comes in you pay off $200,
meaning you still owe $500. How much interest will you be charged? And what will your new total bill be?
Answer:
No I will never ever help you
To calculate the interest charged on the credit card, subtract the amount paid off from the new cost of the iPhone 11 and multiply it by the interest rate and time. The interest charged is $45. The new total bill will be $545.
Explanation:To calculate the amount of interest charged on the credit card, we need to find the difference between the new cost of the iPhone 11 ($700) and the amount you paid off ($200). This difference will be the initial principal amount on which interest is charged.
Interest is calculated using the formula: interest = principal x rate x time. In this case, the principal is $500 (the remaining amount owed), the rate is 0.09 (9% as a decimal), and the time is 1 year since the interest is calculated annually for credit cards.
Using this information, we can calculate the interest charged: interest = $500 x 0.09 x 1 = $45.
To find the new total bill, we add the interest charged to the remaining amount owed: new total bill = $500 + $45 = $545.
solve some algebra problems using the properties of equality...
pls help i’m horrifyingly bad a math i understand nothing :(((
Answer:
a. Property 1
b. Property 2
Step-by-step explanation:
In this case, what we will do is say the properties of the equations, which are 4, the following:
Property 1: When a number is added or subtracted to both sides of equality, equality remains.
Property 2: When multiplied or divided by the same number, other than zero, on both sides of equality, equality remains.
Property 3: When both members of equality are raised to a nonzero power, equality remains.
Property 4: When the same root is extracted, on both sides of the equality, equality remains.
In other words, property 1 is used in part a and property 2 is used in part b.
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
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.
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:
can someone help me with this question please
Answer:
C. the vertical scale does not start at zero.
Step-by-step explanation:
The bars should be longer than they are drawn because the scale does not start at zero. As it is visual comparisons of the different months is misleading.
For example, it looks like the sales for February are about twice the March sales but that is not true.
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
If sin Θ = 2 over 3 and tan Θ < 0 , what is the value of cos Θ?
[tex]\sin \theta = \dfrac 2 3[/tex]
[tex]\tan \theta < 0[/tex]
Positive sine, negative tangent, means we have a negative cosine. We're talking about the second quadrant.
[tex]\cos^2 \theta + \sin ^2 \theta = 1[/tex]
[tex]\cos^2 \theta = 1 - \sin ^2\theta[/tex]
[tex]\cos \theta = \pm \sqrt{1 - \sin ^2\theta}[/tex]
We know it's negative,
[tex]\cos \theta = - \sqrt{1 - (2/3)^2} =-\sqrt{5/9} = - \dfrac 1 3 \sqrt{5}[/tex]
Answer: -(1/3)√5
The first four terms of a sequence are shown below.
2,9,40.5,182.25 ...
what is the next number in the sequence?
Answer:
820.125
Step-by-step explanation:
2*4+2/2=9
9*4+9/2=40.5
40.5*4+40.5/2=182.25
182.25 * 4 + 182.25/2 = 820.125
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
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
A three-dimensional model of Lucia’s apartment is shown. To cool the whole apartment, an air conditioner must provide 2.5 BTUs per cubic foot. How many BTUs are needed to cool Lucia’s apartment? 19,600 BTUs 19,800 BTUs 20,400 BTUs 24,000 BTUs
Answer: c
Step-by-step explanation:
20,400
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
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 sample of bacteria is growing at a rate of 8% per hour compound continuously. How many hours will it take for the sample to double? Round your answer up to the nearest whole number and do not include units
Answer:
The sample would double in 9 hours
Step-by-step explanation
The number of hours it will take for the sample to double can be found using the 72 rule.
The 72 rule is such that a growth rate would double itself by it is used in dividing the number 72 as shown below:
number of hours =72/8=9 hours
The number of hours it would take the sample to double is 9 hours as computed above.
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.
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