n a test,correct answers carry +3 marks and wrong answers carry -1 marks.Ramesh answered all the questions.He scored 79 marks,though he maked 5 mistakes.Find the number of correct answers?
Answer:
The number of correct answers is 28
Step-by-step explanation:
The value of a correct answer = +3
The value of a wrong answer = -1
The number of questions Ramesh answered = All the questions
The number of mistakes in the question = 5,
Let x represent the number of correct answers therefore, we get;
+3 × x + (-1) × 5 = 79
∴ x = (79 - (-1) × 5)/+3 = 28
The number of correct answers, x = 28
For the diagram below, which equation is the correct use of the distance formula?
Answer:
D
Step-by-step explanation:
it takes 5 girls to use 8 days to clean up a room. find the number of days that will be used by. 15 girls. 10 girls. 20 girls
Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them earn up to $400 by paying them $25 when one of them mows the lawn and $10 for each hour that one of them babysits their younger brother. They will have to do a combination of both chores in order to earn the money. Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.
Answer:
25m + 10b = 400
Step-by-step explanation:
Total amount that can be earned = $ 400
Amount earned on mowing a lawn = $ 25
Amount earned per hour on babysitting = $10
Amount earned for mowing one lawn is $ 25, so amount earned for mowing m lawns will be $ 25m
Amount earned for one hour of babysitting is $ 10, so amount earned for babysitting for b hours will be $ 10b
Using the values from above, we can set up the equation as:
400 = 25m + 10b
or
25m + 10b = 400
This equation represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.
Hope this helps have a good day
Which sentence represents the inequality -2b + 7 > 27.5?
A)Two times a number, plus seven, is less than twenty-seven and five tenths.
B)Two times a number, plus seven, is greater than twenty-seven and five tenths.
C)Negative two times a number, plus seven, is fewer than twenty-seven and five tenths.
D)Negative two times a number, plus seven, is greater than twenty-seven and five tenths. (Worth 10 points)
Answer:
C , negative two times a number, plus seven , is fewer than twenty-seven and five tenths
Answer:
D
Step-by-step explanation:
I got it right on edge
Find p(5) for p(x) = 80x2 - 15 by using the remainder theorem.
O 1985
O 2015
O-1985
O 2030
If a plane can travel 510 miles per hour with the wind and 410 miles per hour against the wind, find the speed of the wind and the speed of the plane in still air.
Answer:
Below.
Step-by-step explanation:
Ok so, Since its 510 - x = 410. Speeds equals the wind.
SO?
100=2x
x=50
410+50 = 460!
If you shift the quadratic parent function, f(x) = x2, right 10 units, what is the
equation of the new function?
A. g(x) = (x+ 10)
B. g(x) = x2 + 10
C. g(x) = (x - 102
D. g(x) = x2 - 10
Answer:
A.
Step-by-step explanation:
The equation of the new function is g(x) = f(x-10) = (x -10)²
What is graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
While adding to the input of a function moves the graph left, and subtracting from the input of a function moves the graph right.
If the quadratic parent function, f(x) = x² moves right 10 units,
Hence, the equation of the new function is g(x) = f(x-10) = (x -10)²
Learn more about graph here:
brainly.com/question/16608196
#SPJ2
Help and explain !!!!
Answer:
x = 3
Step-by-step explanation:
f(x) means function of x, and could be replaced by y to just give a y = mx + b equation. So if f(x) = y = 11, you're pretty much solving for x with the equation
11 = 3x + 2
From there, isolate x, and you have your answer.
11 = 3x + 2
9 = 3x
x = 3
Quadrilateral ABCD has vertices A(-3, 4), B(1, 3), C(3, 6), and D(1, 6). Match each set of vertices of quadrilateral EFGH with the transformation that shows it is congruent to ABCD.
Sorry, I didn't quite understand the question here is a clear one, it was made by me personally in the geo-gebra application
A rectangular piece of paper has an area of ⅓ square meter. If the length of the paper is ⅗ meter, what is the breadth of the paper?
Answer: [tex]\frac{5}{9}\ m[/tex]
Step-by-step explanation:
Given
Area of the rectangular piece of paper is [tex]A=\frac{1}{3}\ m^2[/tex]
Length of the paper is [tex]l=\frac{3}{5}\ m[/tex]
Suppose width of the paper is [tex]w[/tex]
Area is the multiplication of length and width
[tex]\therefore A=lw\\\\\Rightarrow \dfrac{1}{3}=\dfrac{3}{5}\times w\\\\\Rightarrow w=\dfrac{5}{9}\ m[/tex]
Thus, the width of the paper is [tex]\frac{5}{9}\ m[/tex]
Wavelength varies inversely with frequency. Let k be the product of wavelength and frequency. Complete the table using the inverse variation relationship.
Answer:
Wavelength varies inversely with frequency.
Step-by-step explanation:
Wavelength varies inversely with frequency.
[tex]\lambda\propto \dfrac{1}{f}\\\\\lambda=\dfrac{k}{f}\\\\\lambda f=k[/tex]
Where
k is the constant and it is equal to the product of wavelength and frequency. It means when wavelength increases, the frequency decreases and vice versa.
What is the variable expression for 6 less than the difference of 5 and a number? * 3 points 6 - 5 - n 6 - n - 5 (5 - n) -6 6 - (5 - n)
Given:
The given statement is "6 less than the difference of 5 and a number".
To find:
The variable expression for the given statement.
Solution:
Let n be the unknown number or the variable.
We know that minus sign is used to represent the difference between two numbers.
Difference of 5 and a number is [tex](5-n)[/tex].
6 less than the difference of 5 and a number is [tex](5-n)-6[/tex].
The required expression for the given statement is [tex](5-n)-6[/tex].
Therefore, the correct option is C.
The sum of 36 and three times a number is 18 find the number
Answer:
x = -6
Step-by-step explanation:
sum means +
36 + 3x = 18
3x = 18 - 36
3x = -18
x = -6
Answer:
Step-by-step explanation:
36 + 3x = 18
subtract 36 from both sides
3x= -18
divide by 3
x = -6
Giải phương trình:
Sin^4 x - cos^4 x =1/2
Step-by-step explanation:
...........MaRk As BrAiNeSt
Hello,
[tex]cos^4(x)=(cos^2(x))^2=(1-sin^2(x))^2=1+sin^4(x)-2*sin^2(x)\\\\sin^4(x)-(1+sin^4(x)-2sin^2(x))=\dfrac{1}{2} \\\\1-2sin^2(x)=\dfrac{1}{2} \\\\\\sin^2(x)=\dfrac{1}{4} \\\\sin(x)=\dfrac{1}{2} \ or\ sin(x)=-\dfrac{1}{2} \\\\\\modulo\ 2\pi: \\\\x=\dfrac{\pi}{6}\ or\ x=\dfrac{5*\pi}{6}\ or\ x=-\dfrac{\pi}{6}\ or\ x=-\dfrac{5*\pi}{6}[/tex]
Can someone help me with this math homework please!
Answer:
1st option.
0 to 100 miles per hour
Step-by-step explanation:
as we can see the question states that a particular car' s gas mileage DEPENDS upon its speed.
Since, the independent variable is the domain of the function the speed of the car will act as the domain of the given function.
out of all the option option 1 gives us values of speed( cause its unit is miles/ hour - unit of speed).
so the domain is
0 to 100 miles per hour.
Answer:
(A) 0 to 100 miles per hour
Step-by-step explanation:
The domain is the independent variable, or the input. The speed is the independent variable because the gas mileage DEPENDS on it. That means the gas mileage is the dependent variable.
The only answer that is related to the speed is the first answer choice.
Hope that helps (●'◡'●)
Please help!!-- What is the measure of arc AT in the circle O below?
Answer:
97
Step-by-step explanation:
Arc AT = angle at the center 97°
WILL GIVE 50 POINTS PLS RESPOND FAST!!!!
The table below shows the radius y, I’m centimeters, created by grouping algae in x days:
Time (x) 2 4 6 8
(Days)
Radius(y) 4 7 10 14
(cm)
Part A: what is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and radius of the algae. [choose the value of the correlation coefficient from 1, 0.97, 0.5, 0.2.]
Part B: what is the value of the slope of the graph of radius versus time between 6 and 8 days, and what does the slope represent?
Part C: does the data in the table represent correlation or causation? Explain your answer.
Answer:
wait whats your question
Step-by-step explanation:
BRAINLIEST FOR EXPLANATION (my own question)
SO when you have a point on a graph, say it's at (-3,7), and you have to graph the dot after a rotation of 90 degrees counterclockwise around the origin, how would you know what to do?
So I know it is (x,y)--> (-y,x), but having the dot as (-7,3) wouldn't work if you followed that equation. Am I doing it right? If not, how would you apply that 'equation' to (-3,7)?
Answer:
(-7, -3)
Step-by-step explanation:
So the formula is (x, y) --> (-y, x) for a 90 degrees counterclockwise rotation.
To apply this formula to (-3,7), first identify which is the x-coordinate and which is the y-coordinate.
x-coordinate is -3 & y-coordinate is 7
Then you literally just substitute it into the formula like so:
(-y, x) -->(-(7), (-3)) --> (-7, -3)
Try to put parantheses around the coordinate when substituting to prevent confusion & incorrect negative signs.
Hope it helps and good luck (●'◡'●)
Answer:
(-7,-3)
Step-by-step explanation:
You could read (x,y)->(-y,x) as if I have the point (x,y), the image point is (opposite of y,x).
So shorthand the rule is just saying
(x,y)->(opposite of y, x)
(-3,7)->(-7,-3)
A few more examples:
(5,7)->(-7,5)
(-5,7)->(-7,-5)
(-5,-7)->(7-,5)
(5,-7)->(7,5)
This whole explanation comes down to reading-u as opposite of u.
Opposite just means to change the sign.
Another way to read -u is -1×u.
Example:
Q: evaluate -u if u=8
A: -8
Why? -u means -1×u or opposite or u. Take your pick in reading it. It's the same meaning just different ways of reading. -1×8=-8 or the opposite or 8 is -8.
Example:
Q: evaluate -u if u=-8
A: 8
Why? -u means -1×u or opposite or u. Take your pick in reading it. It's the same meaning just different ways of reading. -1×-8=8 or the opposite or -8 is 8.
what is the volume of the square pyramid? answer i need this done for my geometry credit thank you
Answer: 171.5
Step-by-step explanation:
1/2 x 7 x 7 x7 = 171.5 cm3
Answer:
[tex]volume=1/3(area ~of ~base) \times( height)[/tex]
[tex]v=1/3(7\times7)\times7[/tex]
[tex]v=343/3[/tex]
[tex]v=114[/tex]
-----------------------
hope it helps...
have a great day!!
What are the units of the area of the figure?
C5
millimeters
4 mm
cubic millimeters
square centimeters
O square millimeters
6 mm
Answer:
the answer is square millimeters
What is the simplest form of this expression?
Answer:
a is correct option......
15 POINTS AND BRANLIEST!!!
X = ?
Answer:
x = 7
Step-by-step explanation:
The 2 angles are Alternate exterior angles and are congruent, so
2x - 3 = x + 4 ( subtract x from both sides )
x - 3 = 4 ( add 3 to both sides )
x = 7
For the lines to be parallel, then x = 7
4a=5b+5 2a=3b+2. solve using the method of elimination
please help !*
Answer:
a = 2.5, b = 1
Step-by-step explanation:
Given the 2 equations
4a = 5b + 5 → (1)
2a = 3b + 2 → (2)
Multiplying (2) by - 2 and adding the result to (1) will eliminate a
- 4a = - 6b - 4 → (3)
Add (1) and (3) term by term to eliminate a
0 = - b + 1 ( add b to both sides )
b = 1
Substitute b = 1 into either of the 2 equations and solve for a
Substituting into (2)
2a = 3(1) + 2 = 3 + 2 = 5 ( divide both sides by 2 )
a = 2.5
Answer:
a = 2.5
b = 1
Step-by-step explanation:
4a = 5b + 5 and 2a = 3b + 2
→ Multiply the second equation by 2
4a = 6b + 4
→ Subtract this new equation from the first one
0 = b - 1
→ Find b by adding 1 on both sides
b = 1
→ Substitute b into one of the equation
4a = ( 5 × 1 ) + 5
→ Simplify
4a = 10
→ Divide both sides by 4
a = 2.5
Solve for x. Round to the nearest tenth of a degree, if necessary.
Answer:
49.6°Step-by-step explanation:
tangent = opposite / adjacenttan x = 40/34x = arctan (40/34)x ≈ 49.6°Step-by-step explanation:
[tex] \rm{tangent \: = \: opposite \:/ adjacent} \\ \rm{tan \: x \: = \: 40 \:/ 34} \\ \rm \: x \: = arctan \: (40 \:/ 34) \\ \: \rm {x \: = \boxed{49. \: 60°}}[/tex]
someone help me please with this algebra homework
Answer:
the 4th option
Step-by-step explanation:
the 4th one
Answer:
D. 2.99x + 12.99y = 43.92
Step-by-step explanation:
1 pair of socks costs $2.99
x pairs of socks cost 2.99x
1 blouse costs $12.99
y blouses cost 12.99y
The total cost is the sum of the two costs
2.99x + 12.99y
We are told the total cost is $43.92
2.99x + 12.99y = 43.92
Answer: D. 2.99x + 12.99y = 43.92
Which is the best estimate for 6.3×10 to the second power times 9.9×10 to the 3rd power written in scientific notation
Answer:
in scientific notation, the expression can be written as 6.237 x 10⁶
Step-by-step explanation:
Given;
6.3×10 to the second power times 9.9×10 to the 3rd power
Using scientific notation, it can be interpreted as;
[tex](6.3 \times 10^2) \times (9.9 \times 10^3)[/tex]
This can be simplified as;
[tex](6.3 \times 10^2) \times (9.9 \times 10^3) = (6.3\times 9.9)\times 10^{2+3}\\\\= 62.37\times 10^5 = 6.237\times 10^6[/tex]
Therefore, in scientific notation, the expression can be written as 6.237 x 10⁶
a^2-2(a+b)-b^2 plz can anyone solve this factorization
Step-by-step explanation:
Hope it helps If u have any confusion regarding this kindly inform me , i will try my best to answer
[tex]\tt\displaystyle\ \star a^2-b^2=(a-b)(a+b)\star\\\\ a^2-2(a+b)-b^2=a^2-b^2-2(a+b)=\\\\\underline{(a+b)}(a-b)-2\underline{(a+b)}=\boxed{(a+b)(a-b-2)}[/tex]
please help answer these!!!!
Jimmy’s family moved to a tropical climate. For the year that followed, he recorded the number of days that had a temperature above 400C each month. His data contained -
14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13 and 8
1) Find the mean for his data set of days that had a temperature above 400C.
2) Find the median for his data set of days that had a temperature above 400C.
3) Find the mode for his data set of days that had a temperature above 400C.
4) If, instead, there are 5 more days per month that had a temperature above 400C, what will be the mean for the data?
5) If, instead, there are 2 more days per month that had a temperature above 400C, what will be the mode for the data?
Answer:
1) 11.75
2) 11.5
3) 11 and 14
4) 16.75
5) 13, and 16
Step-by-step explanation:
The given data is 14, 14, 10, 12, 11, 13, 11, 11, 14, 10, 13, 8
1) The mean, [tex]\overline x[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8)/12 = 11.75
2) The data arranged in increasing order is presented as follows;
8, 10, 10, 11, 11, 11, 12, 13, 13, 14, 14, 14
The count of he data points = 12
The median = The data at the (n + 1)/2 = (12 + 1)/2 = 6.5th position = 11 + (12 11)/2 = 11.5
The median = 11.5
3) The mode of the data set are 11 and 14
4) Where there are 5 more days per month that had a temperature above 40°C, we get;
The mean, [tex]\overline x_1[/tex] = (14+14+10+12+11+13+11+11+14+10+13+8+5×12 )/12 = 16.75 = [tex]\overline x[/tex] + 5
5) Given that there are 2 more days per month that had a temperature above 40°C, we get the days per month with temperatures above 40°C as follows;
8 + 2, 10 + 2, 10 + 2, 11 + 2, 11 + 2, 11 + 2, 12 + 2, 13 + 2, 13 + 2, 14 + 2, 14 + 2, 14 + 2
10, 12, 12, 13, 13, 13, 14, 15, 15, 16, 16, 16
Therefore, the mode are 13, and 16
Which shows the correct solution of the equation + so, when 6-30?
Answer:
-24
Step-by-step explanation:
rest 6 minus 30 and it give you -24
