Since we have an even amount of numbers here, the median is going to be the average of the two middle values, in this case:
(2a-1+a+7)/2 = 17
(3a +6)/2 = 17
3a + 6 = 34
3a = 28
a = 9[tex]\frac{1}{3}[/tex]
Solve the simultaneous equations
5x + 3y = 23
2x + 4y = 12
Answer:
x= 4, y= 1
Step-by-step explanation:
5x +3y= 23 -----(1)
2x +4y= 12
Divide both sides by 2:
x +2y= 6 -----(2)
(2) ×5:
5x +10y= 30 -----(3)
(3) -(1):
5x +10y -(5x +3y)= 30 -23
Expand, simplify:
5x +10y -5x -3y= 7
Divide both sides by 7:
7y= 7
y= 7 ÷7
y= 1
Substitute y= 1 into (2):
x +2(1)= 6
x +2= 6
x= 6 -2
x= 4
-2 + 1/2 what is the answer
Answer:
-1 1/2
Step-by-step explanation:
1/2 is positive and - 2 is negative
In the diagram below CF bisects
Answer:
Thanks for the points, I will change my answer when you re-upload okay
:)
Answer:
Touch and hold a clip to pin it. Unpinned clips will be deleted after 1 hour.
The number 59 is increased to 60. What is the percentage by which the number was
increased, to the nearest tenth of a percent?
Answer:
the answer is 1.7
Step-by-step explanation:
a recipe calls for 24 fluid ounces of light whipping cream. if anthony has 1.5 pints of whipping cream in his refrigerator does he have enough for the recipe
Answer:
Yes
Step-by-step explanation:
He has 24 fluid ounces. You know this because in 1 pint, there are 16 fluid ounces. In half of one pint there are 8 ounces. 16 + 8 = 24 oz
I hope this could help!
Answer:
yes and he will have 4.8228 fluid ounces left over
Step-by-step explanation:
1.5 pints + 28.8228 US fluid ounces
which algebraic expression represents the total area of a cube each dimension of which is 1.5x
Answer:
okkkkkkkķkkkkkkkkkkkkk
Answer:
Step 1: Remove parentheses by multiplying factors.
= (x * x) + (1 * x) + (2 * x) + (2 * 1)
Step 2: Combine like terms by adding coefficients.
(x * x) = x2
(1 * x) = 1x
(2* x) = 2x
Step 3: Combine the constants.
(2 * 1) = 2
Step 4: Therefore, Simplifying Algebraic Expression is solved as
= x2 + 3x + 2.
Step-by-step explanation:
A cube is 3- dimensional shape with 6 equal sides, 6 faces, and 6 vertices in geometry. ... In 3 – dimension, the cube's sides are; the length, width, and height.
Are the line y=x+3 and y=x-3 perpendicular
Answer:
no
Step-by-step explanation:
to be perpendicular the second equation would have to be -x (the opposite of x)
these lines are parallel
Answer:
No, not perpendicular
Step-by-step explanation:
Compare the slopes of the two lines. In each case the slope is 1. Therefore the slopes are not negative reciprocals of one another, and the lines are NOT perpendicular.
The table shows the total amounts y (in thousands of dollars) of money a homeowner saves on electric bills x years after installing solar panels.
a. Write an equation that models the total amount of money saved as a function of the number of years after the solar panels were installed.
y = _______
b. Interpret the slope and y-intercept of the line of fit.
The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.
A linear equation is given by:
y = mx + b
where y, x are variables, m is the rate of change, b is the initial value of y (y intercept).
Let y represent the total money in thousand dollar saved for x years.
Taking the points (0, -12) and (20, 20).
The equation is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-12)=\frac{20-(-12)}{20-0} (x-0)\\\\y+12=1.6x \\\\y=1.6x-12[/tex]
The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.
Find out more at: https://brainly.com/question/13911928
Tarek can do a job in 4 hours. Aisha can do the same job in 6 hours. How many hours will it take the
two of them to do the job if they work together?
Answer:
it will take 10 hours
Step-by-step explanation:
6+4=10
In Richmond, Chloe ordered $40 worth of sushi. She knew that when the bill came, she would need to pay Richmond sales tax of 5% and would want to leave a 20% tip on the original $40. Including tax and tip, how much did Chloe's meal cost?
Answer:
50$$$
Step-by-step explanation:
(she has the same name as me lol)
Chloe has to pay 40$
5% of 40 is 2
20% of 40 is 8
Add the extra money together
2+8=10
Add original price
40+10=50
You get 50$ for the final price
Snow fell for 9 hours at a rate of 12 inch per hour. Before the snowstorm began, there were already 8 inches of snow on the ground. The equation y=12x+8 models the depth y of snow on the ground after x hours. Explain what the slope and y-intercept mean in this snowstorm model.
Answer:
The slope of the model represents the amount of snow(in inches) added to the ground per hour
the y-intercept represents the beginning amount of snow already on the ground
Step-by-step explanation:
how about −2x × 2x ???
thanks
[tex] \: \: \: \: \: [/tex]
[tex] = - 4 {x}^{2} [/tex]
hope it helpsrefer to the attachment
=> -2x × 2x
=> -4x²
I really need help pls!!
Answer:
116
Step-by-step explanation:
First, find x. The three angles of any triangle will always equal 180, so set up an equation like this:
(14x+4)+(5x-1)+(2x+9)=180
x=8
Then to find angle A put 8 in place of x. 14(8)+4=116
Answer:
[tex]116 \degree[/tex]
Step-by-step explanation:
Interior angles of a triangle is added up to 180°
Therefore,
[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree\\ [/tex]
Now you can solve this equation and find the value of x
[tex]14 x + 4 + 5x - 1 + 2x + 9 = 180 \degree \\ 14x + 5x + 2x + 4 - 1 + 9 = 180 \\ 21x + 12 = 180 \\ 21x = 180 - 12 \\ 21x = 168 \\ \frac{21x}{21} = \frac{168}{21} \\ x = 8[/tex]
Now you can Find the value of <A
[tex]14x + 4 \\ 14 \times 8 + 4 \\ 112 + 4 \\ = 116 \degree[/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
Help please I really don’t understand
Answer:
-2 ≤ x ≤ 2
Step-by-step explanation:
x values will be somewhere between -2 and 2 and include -2 and 2
nth term 12 10 8 6 4
Answer:
12-2(n-1).
Step-by-step explanation:
It can be written 12-2n+2=14-2n, so that when n=1, the 1st term is 14-2=12. The 5th term is 14-10=4; the 6th is 14-12=2.
5(4 - 1)
The Second person to answer gets Brainliest
Answer:
the answer is 15 because you have to do the problem in the parentheses first then multiply by 5
who my fav celeb who ever can guess it close to the name gets brainest
Answer:
john cena
Step-by-step explanation:
i have no idea lol
What is the slope for 1,60,2,120,3,180,4,240
Answer:
the answer to your question is the slope is 60
Half the sum of a number and 1.75 is −5.1. Enter your answer as a simplified mixed number
The unknown number expressed as a mixed fraction is 11 19/20
Let the unknown number be "x"
The sum of the number and 1.75 is expressed as x + 1.75
Half the sum of a number and 1.75 is 1/2(x+1.75)
Equating the result to -5.1 wil give:
1/2(x+1.75) = -5.1
Solve the resulting equation
x + 1.75 = 2(-5.1)
x + 1.75 = -10.2
x = -10.2 - 1.75
x = 11.95
x = 1195/100
x = 11 95/100
Hence the unknown number expressed as a mixed fraction is 11 19/20
Learn more here: https://brainly.com/question/14583740
Answer
-11 19/20
I took the test and got it right!
what rule is this, please answer correctly, please
Answer:
Reflection
Step-by-step explanation: It is reflection because it is the same thing just reflected
Answer:
Vertical reflection of MNOP quadrilateral
Step-by-step explanation:
Another transformation that can be applied to a function is a reflection over the x– or y-axis. A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection reflects a graph horizontally across the y-axis.
here the MNOP quadrilateral is reflected over x axis, it is called vertical reflection
Given: x - 5 > -2.
Choose the solution set.
{x | x R, x > 3}
{x | x R, x > -3}
{x | x R, x > -7}
{x | x R, x > 7}
Answer:
{x | x R, x > 3}
Step-by-step explanation:
x - 5 > -2
Add 5 to each side
x - 5+5 > -2+5
x> 3
Solve for r.
-27 = r/10 - 36
r =
Which of the following properties of equalities can’t be used when solving 3x+6=10-x
Answer:
Step-by-step explanation:
C
Answer:
c) multiplication
Step-by-step explanation:
I HAVE A SEMICIRCLE WITH A DIAMETER 16cm. How do I find the perimeter of the SEMICIRCLE
Answer:
Perimeter of Semicircle
The perimeter of a semicircle is the sum of the half of the circumference of the circle and diameter. As the perimeter of a circle is 2πr or πd. So, the perimeter of a semicircle is 1/2 (πd) + d or πr + 2r, where r is the radius.21-Oct-202
Answer:
Perimeter is 41.1327 centimeters
Step-by-step explanation:
The perimeter of a semi-circle is the circumference of the full circle plus the length of the diameter.
To find the circumference of a circle, just multiply the diameter by pi:
[tex]c=\pi\times d\\c=\pi\times 16\\c=50.2655[/tex]
Now, add the diameter to half of it:
[tex]p=\frac{c}{2}+d\\p=\frac{50.2655}{2}+16\\p=25.1327+16\\p=41.1327[/tex]
solve pls brainliest
Answer:
1. yes
2.yes
3. no
4. no
5. no
what is a slope of (-20,-4), (-12, -10)
Answer:
Slope = -¾
Step-by-step explanation:
Given the points, (-20,-4) and (-12, -10), use the following formula to solve for the slope:
m = (y₂ - y₁)/(x₂ - x₁)
Let (x₁, y₁) = (-20,-4)
(x₂, y₂) = (-12, -10)
Substitute these values into the slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
[tex]m = \frac{-10 - (-4)}{-12 - (-20)}[/tex]
[tex]m = \frac{-10 + 4}{-12 + 20}[/tex]
[tex]m = \frac{-6}{8}[/tex]
Simplify the fraction into its lowest terms by dividing the numerator and the denominator by 2:
[tex]m = \frac{-6}{8}[/tex] ÷ [tex]\frac{2}{2}[/tex]
m = -¾
Therefore, the slope of the line is -¾
what is (−
2
1
)
5
Step-by-step explanation:
i don't understand your question
Answer this for alot of piontsssssss plssssssssss I need it by today please have a good day
Answer:
Can anyone agree this image is blurry? Can you send it again but not blurry this time? Sorry!
Step-by-step explanation:
1/7 rounded to the nearest thousand
Given that y varies with directly with x, and that y= 12 when x=3. Then when x=10, y= ?
Answer:
y = 40
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 12 when x = 3 , then
12 = 3k ( divide both sides by 3 )
4 = k
y = 4x ← equation of variation
When x = 10 , then
y = 4 × 10 = 40