Answer: x= 5
Step-by-step explanation: Lets solve by completing the square.
You first need to get -15 by itself.
x^2-8x=15 Now you need to complete the square my finding a perfect constant that will go with x^2-8x, then add it to the other side containing -15 to balance the equation out.
-8x/2= -4^2=16 This will be the perfect square.
x^2-8x+16 = -15 + 16
(x-4)^2 = 1 factor into a binomial, then use the square root on both sides.
√ x-4 ^ 2 = √ 1
x-4 = 1
x=5
Solve the percentage problems. b Find the number if 6% of it is 20% of 6
Answer:
the number is 20
Step-by-step explanation:
6% of x = 20% of 6
0.06x=0.20*6
0.06x=1.20
x=1.20/0.06
x=20
By solving the percentage if 6% of it is 20% of 6 then the number would be equal to 20.
How to find the percentage from the total value?Suppose the value of which a thing is expressed in percentage is "a'
Suppose the percent that considered thing is "a" is b%
Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part into 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b percent means).
Thus, that thing in number is
[tex]\dfrac{a}{100} \times b[/tex]
Let the number be x
6% of x = 20% of 6
[tex]0.06x=0.20\times6\\0.06x=1.20\\x=1.20/0.06\\x=20[/tex]
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What is the measure of angle A?
Answer:
A = 19.47
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hypotenuse
sin A = 2/6
Take the inverse sin of each side
sin ^-1 ( sin A) = sin ^-1 (2/6)
A =19.47122063
To the nearest hundredth
A = 19.47
Bob, Paula and Sam invest $50000 in a business. Bob invests $4000 more than Paul does and Paul invests $5000 more than Sam does. If the total profit was $70000, select the correct answer. Note that the profit is distributed proportionally based on the respective amount each invested. A. The ratio of the investment of Bob, Paula and Sam is 11:15:10. B. The ratio of the investment of Bob, Paula and Sam is 12:17:21. C. The ratio of the investment of Bob, Paula and Sam is 12:5:4. D. The profit of Paula was $23,800
Answer:
D
Step-by-step explanation:
since sam invest the least, let a be the amount invested by sam
sam = a
paul = a + 5000
bob = a + 5000 + 4000
3a + 14000 = 50000
3a = 36000
a = 12000
thus sam is 12000, paul is 17000 and Bob is 21000
therefore the ratio of B:P:S is 21:17:12
profit by paula is 17/50 x 70000 = 23800
The profit by Paula is 17/50 x 70000 = 23800.
We have given that Bob, Paula and Sam invest $50000 in a business. Bob invests $4000 more than Paul does and Paul invests $5000 more than Sam does. If the total profit was $70000
Since sam invest the least, let a be the amount invested by sam
Therefore we get,
sam = a
What is the investment of Paul?
The investment of Paul = a + 5000
Bob = a + 5000 + 4000
3a + 14000 = 50000
3a = 36000
divide both sides by 3 so we get,
a=36000/3
a = 12000
Therefore, sam is 12000,
paul =5000+12000=17000 and
Bob =12000+9000= 21000
Therefore the ratio of B:P:S is 21:17:12
The profit by Paula is 17/50 x 70000 = 23800.
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Choose the equation that best fits the following graph.
Answer:
c. y = 3.25^x
Step-by-step explanation:
At x=1, the value of y is slightly more than 3, so the base must be more than 3. The appropriate choice is ...
y = 3.25^x
The mean of this set of data (23,13,17,11,11)
Answer:
The mean is 15
Step-by-step explanation:
To find the mean, add up all the numbers and divide by the number of numbers
(23+13+17+11+11)/ 5
75 /5
15
Using equivalent ratios, which statements are true about the cost per magnet? Check all that apply.
The cost of 2 magnets is $1.
The cost of 9 magnets is $3.
The cost of 10 magnets is $3.
The cost of 4 magnets is S2
The cost of 6 magnets is $2.
The cost of 3 magnets is $1.
Answer:
The true statements are:
The cost of 9 magnets is $3.
The cost of 6 magnets is $2.
The cost of 3 magnets is $1.
Step-by-step explanation:
equivalents ratios are two or more ratios that express the same relationship between the numbers involved. In order to calculate the equivalent ratios that are equal, when the numbers involved are divided, they ought to give the same result. In the answer chosen above the ratios in each case are equivalent because:
if the cost of 9 magnets is $3;
9 magnets = $3
∴ 1 magnet = 3/9 = $ 1/3 = 1:3
if the cost of 6 magnets is $2;
6 magnets = $2
1 magnet = 2/6 = $1/3 = 1:3
if the cost of 3 magnets is $1;
3 magnets = $1
∴ 1 magnet = $ 1/3 = 1:3
From the answers obtained, the equivalent ratio of 1 : 3 is the same in all case.
Mikayla worked the same number of hours each day for 4 days during one week. She worked less than 20 hours total for that week. Which graph represents the number of hours per day she could have worked? (Assume the number of hours is greater than 0.)
A number line going from 0 to 10. An open circle is at 5. Everything to the left of the circle is shaded.
A number line going from 0 to 10. An open circle is at 5. Everything to the right of the circle is shaded.
A number line going from 11 to 21. An open circle is at 16. Everything to the left of the circle is shaded.
A number line going from 11 to 21. An open circle is at 16. Everything to the right of the circle is shaded.
Answer:
it is d
Step-by-step explanation:
idk just brainlyest
Answer:
D...............
Step-by-step explanation:
B(4,8) and C(8,0) are the endpoints of a line segment. What is the midpoint M of that line
segment?
Write the coordinates as decimals or integers.
Answer:
(6,4)
Step-by-step explanation:
I just did quick math in my head.
Which is an estimate of LaTeX: \sqrt{14}
14
to the nearest hundredth?
Answer:
3.74
Step-by-step explanation:
Square root of a number is the number that multiplies by itself to result in, in this case, 14. The number is irrational, often, though here is close to 3.74, according to the calculator. Many, though not all, courses recommend calculators for determining square roots, as the mathematical process is quite complex and often not taught. Try this if your course allows, and if not, wow that's a tough course.
Answer:
3.74
Step-by-step explanation:
The square root of 14 is between the square root of 9 and the square root of 16, so it is between 3 and 4. However, since 14 is much closer to 16 than it is to 9, the square root of 14 will also be closer to 4 than 3. So, a pretty accurate estimation would be 3.74.
Hope this helped! :)
3A wholesaler buys baseball gloves for $15 each. He then marks up the price to $20. By what percentage was the price of the baseball glove increased
Answer:
25%
Step-by-step explanation:
(07.06)
Number line with open circle on 9 and shading to the left.
Which of the following inequalities best represents the graph above? (3 points)
x < 9
x > 9
x ≤ 9
x ≥ 9
Answer:
I think it's number two
Answer:
A, first one
Step-by-step explanation:
don't know if my answer is right
Answer:
168
Step-by-step explanation:
SA= 2B + hp
h=9
p=16
B= 1/2 bh
B= 1/2 6(4)
B=12 x 2 = 24
9 x 16= 144
144+24= 168
BRAINLIEST really needed!!
what's the solution to the inequality 1 2/3 > r - 7/12
Answer:
r ≤ 2 1/4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesRewriting FractionsStep-by-step explanation:
Step 1: Define
1 2/3 ≥ r - 7/12
Step 2: Solve for r
Rewrite: 5/3 ≥ r - 7/12Isolate r: 9/4 ≥ rRewrite: r ≤ 9/4Reduce: r ≤ 2 1/4Here we see that any number r less than or equal to 2 1/4 will work as a solution to the inequality.
PLEASE HELP WITH THIS EASY MATH QUESTION!! it’s down below!!!!!!
Answer:
1
Step-by-step explanation:
x^2 + 2x + 1 = (x+1)^2
Answer:
3
Step-by-step explanation:
Hope this helps.
Coach Evans recorded the height, in inches of each player on his team. The results are shown.
Team heights (inches)
61, 57, 63, 62, 60, 64, 60, 62, 63
Calculate and interpret the IQRs (interquartile ranges) of the heights for the team. put a step by step
Answer:
3
Step-by-step explanation:
Given:
Team heights (inches):
61, 57, 63, 62, 60, 64, 60, 62, 63
To find: IQRs (interquartile ranges) of the heights for the team
Solution:
A quartile divides the number of terms in the data into four more or less equal parts that is quarters.
For a set of data, a number for which 25% of the data is less than that number is known as the first quartile [tex](Q_1)[/tex]
For a set of data, a number for which 75% of the data is less than that number is known as the third quartile [tex](Q_3)[/tex]
Terms in arranged in ascending order:
[tex]57,60,60,61,62,62,63,63,64[/tex]
Number of terms = 9
As number of terms is odd, exclude the middle term that is 62.
[tex]Q_1[/tex] is median of terms [tex]57,60,60,61[/tex]
Number of terms (n) = 4
Median = [tex]\frac{(\frac{n}{2})^{th} +(\frac{n}{2}+1)^{th} }{2} =\frac{2^{nd}+3^{rd}}{2} =\frac{60+60}{2}=\frac{120}{2}=60[/tex]
So, [tex]Q_1=60[/tex]
So, 25% of the heights of a team is less than 60 inches
[tex]Q_3[/tex] is the median of terms [tex]62,63,63,64[/tex]
Median = [tex]\frac{(\frac{n}{2})^{th} +(\frac{n}{2}+1)^{th} }{2} =\frac{2^{nd}+3^{rd}}{2} =\frac{63+63}{2}=\frac{126}{2}=63[/tex]
So, [tex]Q_3=63[/tex]
So, 75% of the heights of a team is less than 63 inches
Interquartile range = [tex]Q_3-Q_1=63-60=3[/tex]
The interquartile range is a measure of variability on dividing a data set into quartiles.
The interquartile range is the range of the middle 50% of the terms in the data.
So, 3 is the range of the middle 50% of the heights of the students.
Need help ASAP! Simplify the expression so there is only one positive power for the base, -5. (The questions/answers are in the group chat.)
A.
B.
C.
D.
Answer: C
Step-by-step explanation:
-5^7 ➗ -5^2
(-5)^(7-2)
-5^5
xin orders five identical loaves of bread
Is there anything else that goes with the question or is that it?
What is the probability of flipping a coin three times and getting either all heads or all tails?
Answer:
12.5 %
Step-by-step explanation:
Each time you probability of flipping one side is 50%, so when you do this three times (I think of x^3), your probability is going to be 0.5 * 0.5 * 0.5, or 12.5%
What is the area of the paraalllegram
Answer:24
Step-by-step explanation:
Height =4
Base=6
Area of parallelogram=base x height
Area of parallelogram=6 x 4
Area of parallelogram=24
Victor wants to have at least 10 dozen cookies for the bake sale. Which of the following inequalities correctly represents the number of cookies Victor wants for the bake sale?
c > 10 dozen
c ≥ 10 dozen
c ≤ 10 dozen
c < 10 dozen
Answer:
c ≥ 10 dozen
Step-by-step explanation:
Victor wants to have at least 10 dozen cookies for the bake sale.
In layman terms it can be understood as that Victor wants either 10 dozen cookies or more than that such as 11, 12, 13, 50 , 100 whatever number is greater than 10.
Let the no. of dozen of cookies wanted by him is c
according to condition
if victor wants either 10 dozen cookies
it can be represented mathematically as
c = 10 dozen (1)
_____________________________________
If victor wants no. of dozens of cookies greater than 10 .
it can be written as
c >10 dozen (2) (">" is symbol for greater than . expression simply means value of x should be greater than 10)
______________________________________________
now combining equation one and two, we have
c ≥ 10 dozen . It can means that x can take value starting from 10 to any no greater than..
How does Harrison Bergeron's physical description help to create satire?
Answer:
The absurdity of Harrison's exaggerated handicaps ridicules society's obsession with equality.Step-by-step explanation:
Answer:
Step-by-step explanation:
In the year 2081, the 211th, 212th, and 213th amendments to the Constitution dictate that all Americans are fully equal and not allowed to be smarter, better-looking, or more physically able than anyone else. The Handicapper General's agents enforce the equality laws, forcing citizens to wear "handicaps": masks for those who are too beautiful, loud radios that disrupt thoughts inside the ears of intelligent people, and heavy weights for the strong or athletic.
One April, 14-year-old Harrison Bergeron, an intelligent, athletic, and good-looking teenager, is taken away from his parents, George and Hazel Bergeron, by the government. They are barely aware of the tragedy, as Hazel has "average" intelligence (a euphemism for stupidity), and George has a handicap radio installed by the government to regulate his above-average intelligence.
Hazel and George watch ballet on television.They comment on the dancers, who are weighed down to counteract their gracefulness and masked to hide their attractiveness. George's thoughts are continually interrupted by the different noises emitted by his handicap radio, which piques Hazel's curiosity and imagination regarding handicaps. Noticing his exhaustion, Hazel urges George to lie down and rest his "handicap bag", 47 pounds (21 kg) of weights locked around George's neck. She suggests taking a few of the weights out of the bag, but George resists, aware of the illegality of such an action.
On television, a news reporter struggles to read the bulletin and hands it to the ballerina wearing the most grotesque mask and heaviest weights. She begins reading in her unacceptably natural, beautiful voice, then apologizes before switching to a more unpleasant voice. Harrison's escape from prison is announced, and a full-body photograph of Harrison is shown, indicating that he is seven feet (2.1 m) tall and burdened by three hundred pounds (140 kg) of handicaps.
George recognizes his son for a moment, before having the thought eliminated by his radio. Harrison himself then storms the television studio in an attempt to overthrow the government. He calls himself the Emperor and rips off all of his handicaps, along with the handicaps of a ballerina, whom he proclaims his "Empress". He orders the musicians to play, promising them nobility if they do their best. Unhappy with their initial attempt, Harrison takes control for a short while, and the music improves. After listening and being moved by the music, Harrison and his Empress dance while flying to the ceiling, then pause in mid-air to kiss.
Diana Moon Glampers, the Handicapper General, enters the studio and kills Harrison and the Empress with a ten-gauge double-barreled shotgun. She forces the musicians to put on their handicaps, and the television goes dark. George, unaware of the televised incident, returns from the kitchen and asks Hazel why she was crying, to which she replies that something sad happened on television that she cannot remember. He comforts her and they return to their average lives.
A rectangle is divided into same size squares one row covers 1/8 of the whole rectangle there are 3 squares in each row how many squares are in a whole triangle
Answer:
it is one square
Step-by-step explanation:
in the middle is room for one but anywhere else isn't
The stem-and-leaf plot below shows the number of pages each student in a class read the previous evening.
A stem and leaf plot showing the movie length in minutes shown. The stems from top to bottom are 0, 1, 2, 3, 4, 5. The first column of leaves is 0, 2, 2, 3, 2, 7. The second column of leaves is 0, 3, 4, 5, 4, blank. The third column of leaves is 5, 5, 6, 6, 6, blank, blank. The fourth column of leaves is 8, 8, 7, blank, blank, blank. The fifth column of leaves is blank, 8, 7, blank, blank, blank. The sixth column of leaves is blank, 9, 7, blank, blank, blank.
Which statement is true about the data set?
Its median is greater than its mode.
It has a range of 52 pages.
The value of the first quartile is 13.
The data is symmetric.
Answer:
The value of the first quartile is 13.
Step-by-step explanation:
0 0 0 5 8
1 2 3 5 8 8 9
2 2 4 6 7 7 7
3 3 5 6
4 2 4 6
5 7
Its median is greater than its mode.
median is 12th data point = 24 mode = 27 false
It has a range of 52 pages.
range is largest minus smallest = 57-0 = 57 false
The value of the first quartile is 13.
There are 11 data points 11/2 = 5.5 = 1st quartile is 6th data point = 13
The data is symmetric.
it is not symmetric
Answer:
C) The value of the first quartile is 13.
Step-by-step explanation:
2 people are evenly sharing 15 milliliters of perfume.
How much perfume should each person get?
Answer:Each person should get 7.5 milliliters or seven and a half perfume.
Step-by-step explanation:
15/2=7.5
Each person should get 7.5 milliliters or seven and a half perfume.
How to calculate unit price of something?Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in maths and science.
Thus, unit price of something is price of 1 thing.
Suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.
WE know that 2 people are evenly sharing 15 milliliters of perfume.
So, one person will share;
15/2
=7.5
Therefore, Each person should get 7.5 milliliters or seven and a half perfume.
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Need help solving this
Answer:
c: no solution
Step-by-step explanation:
Find the coordinates of a point A whose distance from the origin (0, 0) is 5 units.
Answer:
Two examples of points that satisfy this condition is (0,5) and (0,-5).
Step-by-step explanation:
Suppose we have two points:
[tex]A = (x_{1}, y_{1})[/tex]
[tex]B = (x_{2}, y_{2})[/tex]
The distance between these points is:
[tex]D = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}[/tex]
In this question:
B(0,0)
A(x,y)
We have to find x and y.
We have that:
[tex]\sqrt{(x-0)^{2} + (y-0)^{2}} = 5[/tex]
[tex]\sqrt{x^{2} + y^{2}} = 5[/tex]
[tex](\sqrt{x^{2} + y^{2}})^{2} = 25[/tex]
[tex]x^{2} + y^{2} = 25[/tex]
One example of a point:
I will say that x = 0. So
[tex]0^{2} + y^{2} = 25[/tex]
[tex]y = \pm \sqrt{25}[/tex]
[tex]y = \pm 5[/tex]
So two examples of points that satisfy this condition is (0,5) and (0,-5).
The distance formula is a formula that is used to find the distance between two points.
The coordinate of point A is (0, 5) or (0, -5).
Distance formula:Let us consider that, coordinate of point A is (x, y).
The distance between (0,0) and (x, y) is computed as by using distance formula.
[tex]Distance=\sqrt{(x-0)^{2}+(y-0)^{2} } \\\\5=\sqrt{(x-0)^{2}+(y-0)^{2} } \\\\x^{2} +y^{2}=25[/tex]
All values that satisfies above equation, will be the coordinate of point A.
When x = 0,
[tex]y=\sqrt{25} =\pm 5[/tex]
The coordinate of point A is (0, 5) or (0, -5).
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What can be determined by looking at the factored form of the polynomial f(x) = (x + 7)(x - 2) ?
A
The graph of the polynomial has zeros at (0,-7) and (0,2)
В
The graph of the polynomial has zeros at (7,0) and (-2,0)
C
The graph of the polynomial has zeros at (-7,0) and (2,0)
D
The graph of the polynomial has zeros at (0,7) and (0,-2)
Answer:
C . The graph of the polynomial has zeros at (-7,0) and (2,0)
Step-by-step explanation:
f(x) = (x + 7)(x - 2)
Zero's obtained:
(x+7)(x-2) = 0x+7 = 0 ⇒ x = -7x-2 = 0 ⇒ x = 2Coordinates:
(-7, 0) and (2, 0)Correct answer choice is:
C . The graph of the polynomial has zeros at (-7,0) and (2,0)
Which is a good example of a shield volcano?
A. Mauna Loa
B. Mount Saint Helens
C. Mount Vesuvius
D. Kilimanjaro
Answer:
a. Manua Loa
Step-by-step explanation:
brainliest really needed!!
Answer:
A is your answer
Step-by-step explanation:
What does the x coordinate of a point tell you?
Answer:
X is for the height
Step-by-step explanation:
Arcodding to the coordinate table , this chart has x and y. We measure the y first then we measure the x.
the y coordinate show the length and the y measure the height
I hope it'll help you much
Thank you for asking
Does the point (-4,-14) lie on the line
y = 2x - 6?
Answer:
Substitute the coordinate of point into line equation, we have:
2 x (-4) - 6 = -14
=> The point lies on the line
Hope this helps!
:)
