Answer:
3
Step-by-step explanation:
27-6=7q
21/7=q
3=q
hope it helps
27 = 7q + 6
=> 27 - 6 = 7q
=> 21 = 7q
=> 21/7 = q
=> 3 = q
So, q = 3.
Two sides
Of the x that are multiplied together to get the top number of the x but added together to get the bottom number of the x like 24 too 25 on bottom
As a result, we take the square root of the both sides since if two expressions are equal, then so are their square roots.
What is the definition of the square root?By multiplying the square root of a positive integer by oneself, the number is obtained. As an illustration, 5 is the square root of 25, since 5 × 5 equals 25. Since (5) (5) = 25, 5 is also the square root of 25 as you can see. The symbol, which is, is always used to indicate the square root of a number of a variable x.
Here,
In this case, we're using the square to solve a quadratic equation.
Never forget to use both the negative and positive roots of the equation and to square the values of both sides.
We can accomplish this because to the rule that states that if two expressions are comparable, then their square roots are also equivalent.
As a result, we take the square root of both sides since if two expressions are equal, then so are their square roots.
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Will give brainliest
Below, the two-way table is given for a
class of students.
Sophomore
Freshmen
Juniors
Seniors
Total
Male
4
6
2
2
Female
3
4
6
3
Total
If a student is selected at random, find the
probability the student is a senior given that it's
female. Round to the nearest whole percent.
[?]%
Answer:
19%Step-by-step explanation:
Total Females = 3 + 4 + 6 + 3 = 16
Number of female seniors = 3
P ( Female | senior )
number of female seniors / total female = [tex]\frac{3}{16}[/tex]
In percent,
[tex]\frac{3}{16}[/tex] · 100 = 0.1875 · 100 = 18.75%
18.75% rounded to nearest whole percent is 19%
The required probability is 3/4= 75%, the probability the student is a senior given that it's female.
What is the probability?Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.
here, we have,
We have to compute the probability,
P(Female |Junior) because we have to find the probability of the female student and the given condition is that the student is junior.
Determine the total number of juniors. Juniors=2+6=8
Since the number of females who are junior is 6, determine the required probability.
P(Female|Junior)=6/8=3/4
Therefore, the required probability is 3/4 = 75%
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Help please! How do I write an equation in standard form using the information on the graph?
Answer:
3x -y = 2
Step-by-step explanation:
You want a standard form equation for the line through the points (0, -2) and (2, 4).
SlopeThe slope of the line is the "rise" divided by the "run". The given point on the right is 3 grid squares above the one on the left. It is one grid square to the right. So, the slope is ...
m = (squares above)/(squares to the right) = 3/1 = 3
If we consider the actual x- and y-values represented by these grid squares, then the slope is ...
m = (4 -(-2))/(2 -0) = 6/2 = 3
InterceptThe point (0, -2) tells you the y-intercept is -2. That is where the line crosses the y-axis.
Slope-intercept equationWith this information, we can write the slope-intercept form equation for the line:
y = mx +b . . . . . . . line with slope m and y-intercept b
y = 3x -2 . . . . . . . . line with slope 3 and y-intercept -2
Standard formThe standard form of an equation for a line is ...
ax +by = c
where a, b, c are generally mutually-prime integers with a ≥ 0. If a=0, then b > 0.
We can rearrange the slope-intercept equation to put it into this form.
y = 3x -2
3x -y -2 = 0 . . . . . subtract y
3x -y = 2 . . . . . . . add 2. This is the standard-form equation of the line.
8. Find the cos(C).
.
5
13
1
C. 12.
5
b. 12.
0
26
13
d. 13
5
Answer:
A. 5/13
Step-by-step explanation:
Cos is the adjacent side/hypotenuse
Cos C = 10/26 = 5/13
Check Understanding th
Math
Board
1 There are 46 swimmers and 7 lanes. The same number of
swimmers will go in each lane. Any remaining swimmers will
practice diving. How many swimmers will each lane have?
• Write a division equation to model the problem.
• Use the space at the right to show how you can use
repeated subtraction to solve.
Each lane will have ______
Module 6 Lesson 5
swimmers.
Answer: To model the problem with a division equation, we can write 46 ÷ 7 = x, where x represents the number of swimmers that each lane will have.
To solve the equation using repeated subtraction, we can subtract 7 from 46 several times until we reach a number that is less than 7. The number of times we subtract 7 will give us the number of swimmers each lane will have. Here's one way to do it:
46 - 7 = 39
39 - 7 = 32
32 - 7 = 25
25 - 7 = 18
18 - 7 = 11
11 - 7 = 4
As you can see, we are able to subtract 7 from 46 a total of 6 times before we get a number less than 7. This means that each lane will have 6 swimmers, and the remaining 4 swimmers will practice diving. So each lane will have 6 swimmers.
So the equation 46 ÷ 7 = 6, and also by repeated subtraction method it shows the same result of 6 swimmers each lane.
Step-by-step explanation:
The numbers 1 through 20 printed on a lottery ticket. A player circles three numbers. At the official lottery drawing, balls with the numbers 1 through 20 are randomized in an urn. Three balls are drawn at random, one at a time without replacement. The player wins if the circled numbers match the three numbers drawn from the urn. What is the probability that the player wins?
Answer:
The answer is "0.00088"
Step-by-step explanation:
Many ways of selecting r articles of n,[tex]\to ^nC_r = \frac{n!}{(r! \times (n-r)!)}[/tex]
P(wins the player) = [tex]\frac{1}{\text{Any combinations of possible numbers}}[/tex]
[tex]= \frac{1}{^{20} C_3}\\\\[/tex]
[tex]= \frac{1}{\frac{20!}{(3!\times 17!)}}\\\\= \frac{1}{1140}\\\\= 0.00088[/tex]
Barrett is comparing the membership fees for two museums. The art museum charges a one-time fee of $8.25 plus $2.25 per month. The science museum charges a one-time fee of $10.75 plus $3.50 per month. How much does Barrett save by joining the art museum instead of the science museum? Enter your answers in the boxes.
(blank) $ + (blank) $ m put answers in blanks
Barrett saves by joining the art museum instead of science museum is $2.50 plus $1.25 per month.
What is concept of savings?Saving money is one of the essential aspects of building wealth and having a secure financial future. Saving money gives you a way out of the uncertainties of life and provides you with an opportunity to enjoy a quality life.Savings represents an individual's unspent earnings. It is the amount that remains after meeting the household expenses.
What are benefits of membership?Member benefits are the perks, services, and access that members receive as part of their membership. In other words they are what members get in exchange for joining the organization and if applicable, paying member dues.
Now we have
Fee charged by science museum= $10.75
Fee charged by art museum =$8.25
Now by subtracting he saves =$2.50
Again
he saves =amount charged by science - amount charged by arts
= $3.50 -$2.25
= $1.25
In the results he saves $2.50 +$1.25 per month.
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Choose the expression which represents the phrase, “the sum of 12 and a number H”
Answer:
the correct answer is option C
Answer:
Hello There!!
Step-by-step explanation:
The answer is c. 12+h as sum means adding 12 and then with h.
hope this helps,have a great day!!
~Pinky~
Solve for x
Pls help
Answer:
x=12
Step-by-step explanation:
As a straight line is equal to 180. Here, we have one angle given, which is 134. So,
w+134=180
w=46
And the sum of all the angles of a triangle is equal to 180.
By adding all the angles,
8x-10+5x-12+46=180
13x-22+46=180
13x+24=180
13x=180-24
13x=156
x=156/13
x=12
Step-by-step explanation:
➝8x-10+5x-12=134
➝8x+5x-10-12=134
➝13x-22=134
➝13x=134+22
➝13x=156
➝x=156/13
➝x=12
A certain type of fertilizer contains 8% nitrogen. If 2 kilograms of nitrogen are needed to fertilize a lawn, how many kilograms of fertilizer are needed?
25 kilograms of fertilizer would be needed to fertilize the lawn.
what is the percentage?In essence, percentages are fractions with 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage.
given, A certain type of fertilizer contains 8 percent of nitrogen. If 2 kilograms of nitrogen are needed to fertilize a lawn.
Since fertilizer contain 8% nitrogen in it
thus for 80 grams of nitrogen = 1 kg of fertilizer
for 1 gram of nitrogen = 1/80 kg fertilizer
for 2000 gram of nitrogen = (1/80)* 2000 kg fertilizer
for 2 kilograms of nitrogen = 25 kg fertilizer
therefore, To fertilize the yard, 25 kg of fertilizer would be required.
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A deck of cards ..something I don't get ..Please help
=======================================================
Explanation:
I'm assuming your teacher meant to say "same number or letter" instead of "same number of letter" at the very end of the problem.
The best case scenario is that the person selecting the cards is very lucky to select say a king of hearts and king of clubs. This shows that 2 cards is the lowest amount of cards to select here.
----------
Of course, such a scenario is not that likely. That person is likely to get some other card compared to the 1st selection.
Let's assume the person selecting the cards has the worst luck possible. This means they select each card 1,2,3,...,10,J,Q,K exactly once in any order. If this happens, then the person does not have any pairs just yet. The person has selected 13 cards so far with this worst case scenario.
The 14th card is guaranteed to pair up with some other card previously chosen. There simply aren't any other options left once you've exhausted all possibilities. See the pigeonhole principle for more information.
So this is why you would need to select 14 cards to guarantee having at least two pair up together (i.e. you would have 2 or more pairs).
Pls help with my math
This is the hard question for me
Thnx
Martin is paid an hourly rate of d dollars per hour for the first 40 he works per week. for each hour he works in excess of 40 per week Martin was paid 770 for working 50 hours in one week, which equation can be
What is the simplest form of the radical expression?
4 - v2x+6 v2X
Use the figure to answer the question,
Triangle ABC is similar to triangle ABC.
B
Which series of transformations shows that ABC is similar to ABC1
A. Reflect ABC across line I and translate 2 units right.
B. Reflect ABC across line I and translate 6 units up
C. Reflect ABC across line I and dilate from point A by a factor of 2.
D. Reflect ABC across line I and dilate from point A by a factor of
On solving the provided question, we cans ay that - here in triangles, triangle ABC is congruent to triangle A`B`C`
What is triangle?Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is the name given to a triangle with vertices A, B, and C. When the three points are not collinear, a unique plane and triangle in Euclidean geometry are found. A triangle is a polygon that has three sides and three corners. The spots where the three sides join end to end make up the triangle's corners. Three triangle angles added together equal 180 degrees.
Here,
two triangles are there
triangle ABC and triangle A`B`C`
AB =A`B`
BC = B`C`
AC =A`C`
So, by sss property
both are congruent
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If 1 day equals 1 hour, what does 1 year equal?
1 day = 1 hour
1 year = 365 days
365 x 1 = 365
= 365 hours
Answer:
if one day equals one hour then a year is equal to 365 hours
PLEASE HELP-30 PTS-WILL MARK BRAINLIEST
Determine whether the table expresses the second variable as a function of the first variable.
x y
–5 6
–2 7
–5 –10
–1 –8
Y= 25x + 115
What is the rate of change and what does it represent?
Answer:
Step-by-step explanation:
y= 265
The rate of change of the equation is 25.
The rate at which one quantity changes in relation to another quantity is known as the rate of change function. Simply put, the rate of change is calculated by dividing the amount of change in one item by the corresponding amount of change in another.
Given that the linear equation is y = 25x + 115. The rate of change of the equation is represented by the slope or gradient of the equation of the line.
Here in the equation y = 25x + 115 the rate of change is 25. Which is equivalent to the slope of the line.
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Edgar accumulated $1,000 in credit card debt. If the interest is 10% per year and he does not make any payments for 4 years, how much will he owe on this debt in 4 years by compounding continuously?
Provide your answer below:
A= $ __
3. A table has a length of 3.4 meters and a width of 1.5 meters. Mang Jose painted the to portion approximately 3.75 m². What was the area left unpainted?
A. 5.1 m²
B. 3.75 m²
C. 5.2 m²
D. 1.35 m²
4. A trapezoidal piece of land having 998.50 m2 area is to be sharedby the two brothers Alex and Ben. Alex in his desire wants to have a square lot having 18.6 m² side. How big is Ben's share?
A. 652.54 m²
B. 345.96 m²
C. 862.5 m²
D. 900.1 m²
5. Find the area of a circular pool whose radius is 2 meters.
A. 12.56 m²
B. 15. 65 m²
C. 18.9 m²
D. 22,45 m²
Answer:
#3
What was the area left unpainted?
3.4*1.5 - 3.75 = 1.35 m²Option D
#4
How big is Ben's share?
998.50 - 18.6² = 652.54 m²Option A
#5
The area of a circular pool whose radius is 2 m:
A = π² = 3.14*2² = 12.56 m²Option A
Suki is trying to solve the equation 62.75 + x = 92.
Determine whether Suki could use each statement below to reason and solve the equation.
Choose Yes or No for each statement.
A) Suki can add 62.75 to both sides of the equation.
[ Select ]
B) Suki asks, "What number can be added to 62.75 to get 92?"
[ Select ]
C) Suki thinks, "x is the difference between 92 and 62.75."
[ Select ]
D) Suki can divide 92 by x to get a value equal to 62.75.
[ Select ]
E) Suki knows that 62.75 + 0.25 = 63 and 63 + 29 = 92, so x must be 29.25.
[ Select ]
Answer:
A) Technically he/she can, but they shouldn't really.
B) Yes
C) Yes
D) Yes he/she can but is not necessary to solve the equation
E) Yes
show that x^4-1=0 has four solutions
Step-by-step explanation:
Why can't I plus x² to each side of the inequality x²+4x > -x² ?
(Note: one adds things; one does not plus them.)
You can easily add x² to both sides here:
(x² + 4x) + x² > (-x²) + x², or
2x² + 4x > 0, or
x² + 2x > 0, or
x(x + 2) > 0.
For this to be true, x > 0 and x+2 > 0; or else x < 0 and x+2 < 0.
Case 1: x > 0 and x+2 > 0.
Rewrite this as x > 0 and x > -2.
This is true for all x > 0.
Case 2: x < 0 and x+2 < 0.
Rewrite this as x < 0 and x < -2.
This is true for all x < -2.
The solution set for the inequality, in interval notation, is then (-∞,-2) ∪ (0,∞).
done its a good question btw ....
Need Help With This
Step-by-step explanation:
a) x+20+x+90=180 [sum of 3 angel of triangle]
2x + 110 = 180
2x = 180- 110
2x = 70
x = 70÷2
x = 35
b) 2y + y + y = 180
4y = 180
y = 180÷4
y= 45
c) 4z-30 + 2z = 180
6z = 180 + 30
6z = 210
z = 35
In 8 hours, Badria reads 48 chapters of a book. What is her rate in chapters per hour?
Answer:
6chapters per hour
Step-by-step explanation:
Take 48 chapters divided by the no hrs which are 8
step bye step problem
Answer:
D.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Help pls :)....................
Answer:
(19,1/2)
Step-by-step explanation:
you can put any number in the x coordinate as long as y is the same .
Between 2020 and 2021, the population of a city increased by 20% In 2021, the population of the city was 420 000. What was the population of the city in 2020?
Answer:
350,000.00
Step-by-step explanation:
420,000.00 - 20% = 350,000.00
Increase percentage: 70,000.00
Drag each graph to show if the given data has a positive correlation, a negative correlation, or no correlation.
The solution is:
the first graph is positive correlation
The second is No correlation
The third is positive correlation
The fourth is negative correlation.
Here, we have,
each correlation would mean:
A positive correlation : As one variable increases, so does the other
In other words, the line would be going 'up'
A negative correlation : As one variable increases, the other decreases
In other words, the line would be going 'down'
No correlation : there is no connection between the two
In a visual way, you won't be able to see a 'line'.
so, from the given graph we get,
Therefore, the first graph is positive correlation
The second is No correlation
The third is positive correlation
The fourth is negative correlation.
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Anyone help me please and thanks you
:)
Answer:
71.43%
Step-by-step explanation:
100/7 = 14.29
14.29 times 5 = 71.428 rounded to 71.43
What is the common denominator of y + StartFraction y minus 3 Over 3 EndFraction in the complex fraction y + StartFraction y minus 3 Over 3 EndFraction divided by five-ninths + StartFraction 2 Over 3 y EndFraction?
The common denominator of the given expression is 5y+6.
What is division?Division is the process of splitting a number or an amount into equal parts.
here, we have,
Given expression,
(y+(y-3)/3)/(5/9+2/3y)
We have to find the common denominator.
On solving the numerator and denominator of the given expression,
=3y(4y-3)/5y+6
Hence the common denominator of the above expression is given by 5y+6
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