Answer:
r = -1/5
Step-by-step explanation:
5(r - 10) = -51
Distribute
5r - 50 = -51
Add 50 to each side
5r-50+50 = -51+50
5r = -1
Divide each side by 5
5r/5 = -1/5
r = -1/5
What is the equation of a circle with a radius of 6 and a center at ( -2 , 3 )?
Answer:
Solution given:
centre(h,k)=(-2,3)
radius(r)=6 units
we have
equation of a circle is:
(x-h)²+(y-k)²=r²
(x+2)²+(y-3)²=6²
(x+2)²+(y-3)²=36 is required equation of a circle.
HELP HELP HELPH EPLHEPLHEPLHEPLHEPLEP
Answers:
1a) y=-10/3x+90
1b) 20
1c) -18
2a) 2.8
2b) How much the heights of five basketball players vary from the average height.
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Explanations:
1a) The trend line is linear, so we just need to find the slope and y-intercept to find an equation for it. Our y-intercept is (0,90), or 90, and our slope is -10/3. Our equation is now y=-10/3x+90.
1b) To find when x=21, we plug 21 into our equation where the x is. Now we do the math.
y=-10/3(21)+90 (plug in)
y=-70+90 (simplify by multiplying -10/3 by 21)
y=20 (simplify by adding -70 to 90)
Therefore, we can predict that when x is 21, y is 20.
1c) To find when y=150, we plug 150 into our equation where the y is. Now we do some more math.
150=-10/3x+90 (plug in)
60=-10/3x (subtract 90 from both sides
-18=x (divide both sides by -10/3)
Therefore, we can predict that when y is 150, x is -18.
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2a) The mean absolute deviation (or MAD for short) of a data set is calculated as such:
Step 1) Find the mean (average) by finding the sum of the data values, then dividing the sum of the data values by the number of data values. In this case, we have the numbers 65, 58, 64, 61, and 67, which add up to 315. The data set has 5 numbers, so we divide our sum of 315 by 5 to get 63. Therefore, our mean is 63.
Step 2) Find the absolute value of the distance between each data value and the mean. In this case, we find out how far away each data value is from 63, our mean. To do this, we subtract 63 from each number.
65-63=2
58-63=-5
64-63=1
61-63=-2
67-63=4
Some of these values are negative, but we're using absolute value so they all become positive. We now have a new set of values: 2, 5, 1, 2, and 4.
Step 3) Finally, we calculate the mean of our new set of values. In this case, we will add up 2, 5, 1, 2, and 4 to get 14 and divide by 5 to get our MAD of 2.8. Therefore, the MAD (and the answer to problem 2a) is 2.8.
2b) Now we just find out what the MAD means in this context. The MAD always is a measure of variance in a data set. In this context, it's describing how much the heights (in inches) of five people on a basketball team vary from the average height.
Hope this helps!
Helppppppoppp please 10 points !!!
Answer:
2x+27+x+27=180
3x+54=180
3x=180-54
x=126/3
x=42
angle B=x+27
=42+27
=69 degree
Step-by-step explanation:
Answer:
B=69
Step-by-step explanation:
Supplementary angles have a sum of 180. Set up your formula as
180=(2x+27)+(x+27)
180=2x+27+x+27
180-27-27=3x
126=3x
126/3=x
42=x
Now substitute 42 in place of x for Angle B
Angle B = x+27
B = 42+27
B=69
Check your work by doing the same for Angle A
Angle A = (2x+27)
A=2*42+27
A=84+27
A=111
Now add both together and if you did it right, your answer is 180
69+111 = 180
Edgar pay $67.86 for 7.8 pounds of fertilizer. What is the price per pound of fertilizer?
(Write in dollars & cents.)
Answer:
He pays $8.70
Step-by-step explanation:
You would do $67.86 divided by 7.8 lbs
A 4-cup bottle of vegetable oil costs $2.88. What is the price per fluid Ounce?
Question b quick 10 points
Find the area of the figure.
Answer:
The answer is 28.5
Step-by-step explanation:
Right triangle: 4.5
Top triangle: 6
Rectangle: 18
Your welcome :)
9. The quotient of n and -4 is 5. What is the
value of n?
Answer:
n=-20
Step-by-step explanation:
Answer:
n = -20
Step-by-step explanation:
n/-4 = 5
n/-4 (-4) = 5(-4)
n = -20
-20/-4 = 5
Marco is reconstructing his expenses for the past two weeks. Here are the records of his expenses:
Transaction
Cost ($)
T-shirt
20
Gas
22
Movie
13
Video game
39
Jeans
34
Hat
15
Books
31
Marco’s bank statement says that he has an ending balance of $81. What is Marco’s starting balance?
Answer:
255 - A
Step-by-step explanation:
81+31+15+34+39+13+22+20=255
Find the missing lengths of the leg AND the hypotenuse in simpilest radical form.
Answer:
Above picture is the solution for your question
Step-by-step explanation:
Use relation of trignometric ratios
There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get? (enter your answer as a fraction or mixed number)
Write a number sentence that represents the problem.
Answer:
0.3
Step-by-step explanation:
yushhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
0.3
Step-by-step explanation:
djdjwinqwp9dejnedm
What is the length of the hypotenuse
Answer:
15
Step-by-step explanation:
The Pythagorean's Theorem states that a^2 + b^2 = c^2, so 81 + 144 = 225, and 225 square rooted is 15.
Answer:
15
Step-by-step explanation:
So, to find the hypotenuse you must use the pythagreons theorm:
A^2+B^2=C^2
Now, we knowt hat A and B is the side lengths.(9 and 12)
The hyoptenuse is C.
So, lets plug in our values for A and B, and find C:
A^2+B^2=C^2
=
9^2+12^2=C^2
Now lets square each number except for C, since its a unknown value:
81+144=C^2
Now combine the 144 and 81:
225=C^2
Finally, square root both sides so C^2 becomes C:
15=C
So the answer for the hyotenuse is 15!
Hope this helps!
which model represents the expression
Answer:
C, there are 4 groups of 5/12 on the numberline. They are jumping 4 times whilst each of those jumps are 5/12.
Please help! I will give points for helpng.
Answer:
Should Be 19 students
Step-by-step explanation:
Carol measured her windows for new curtains. She measured the width to be 34 in when it was actually 36 inches. Which was carols approximate percent error in her window measurement .
A. 2.0%
B. 2.8%
C. 5.6%
D. 5.9%
Answer:5.9
Step-by-step explanation: Clarification from teacher
Write a sentence in which the relative frequency of the letter E (or e) is exactly 10%.
Answer:
I'd try to do that, but it cannot be done.
Step-by-step explanation:
The above sentence contains 30 letters, including 3 "e"s, so the frequency of e is 3/30 = 0.1 = 10%
one side of a triangle is 50 and the other side is 120 what is the length of the third side?
this is exterior angle theorem.
I think it 10
Hope that helps
Logan inherited $8,000 from his grandmother. He split the money and placed the amounts in the two accounts below. Find the total amount of money he will have in the accounts combined after 5 years. x Account A: earns 7% interest compounded quarterly x Account B: earns 5.5% interest compounded annually
Answer:
What i got was 3000 please mark wrong if it not right
Step-by-step explanation:
HELP ME I will give brainliest to whoever is RIGhT
Answer:
B)
Step-by-step explanation:
Nico practiced drums 1.5 fewer hours than he practiced piano. If Nico practiced the piano for 4 hours, how many hours did Nico practice the drums
Answer:
2.5 hours
Step-by-step explanation:
4 - 1.5 = 2.5
You must subtract 1.5 from the amount of hours he plays piano, which is 4. This is because he spends 1.5 hours less playing drums than he does playing piano.
Mr. Gephart is traveling from his house to the history museum. How many meters will he travel to the museum? The distance from home to the history museum is six and seven-tenths kilometers.
Answer: 6700 meters
Step-by-step explanation:
From the question given, we are informed that Gephart is traveling from his house to the history museum and that the distance from home to the history museum is six and seven-tenths kilometers.
In order to know the distance in meters
that he will travel to the museum, we have to multiply the convert the distance given in kilometers to meters. This will be:
1000 meters = 1 kilometer
Therefore, 6 7/10km = (6 7/10 × 1000m)
= 6 7/10 × 1000
= 67/10 × 1000
= 67 × 100
= 6700 meters
He'll travel 6700 meters to the museum.
Pls help fast will give brainliest
Answer:
y= -2x+ 5
Step-by-step explanation:
parallel with y= -2x+ 1 means the lines have the same slope m= -2
from point (-1, 7) we go with a slope of -2 until we find the y-intercept (0, 5)
y= mx+b is the general formula
y= -2x+ 5
HELP MEEEEEEEEEEEEEEE!
Answer: go
Step-by-step explanation:
Which of the following shows the quadratic formula correctly used to solve the
polynomial equation 3x^2 - 2 =11x
[tex]3{x}^{2} - 2 = 11x \\ + 11x \: \: \: \: \: \: + 11x \\ 3 {x}^{2} + 11x- 2 = 0 \\ quadratic \: formula \: goes \: fom \: this \: : a {x}^{2} + bx + c = 0 \\ to \: this : x = \frac{- b \ \frac{ + }{ \: } \: \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
so now you just plug in the numbers to their corresponding letter:
[tex]x = \frac{ - 11 \frac{ + }{ \: } \sqrt{ {11}^{2} - 4(3)( - 2)} }{2(3)} [/tex]
PLEASE ANSWER PLZ PLZ
Answer:
Your answer is -5/2.
Step-by-step explanation:
Use the slope equation. (Refresh if you cant see below.)
[tex]\frac{y_2-y_1}{x_2-x_1}\\\text{Substitute two points into the equation. We can use the first two, (3, 5), and (5, 0).}\\\frac{0-5}{5-3}\\\text{Subtract.}\\-\frac{5}{2}[/tex]
Which statement accurately describes the economic characteristics of modern
Texas?
A. Texas has one of the strongest and most diverse economies in the country.
B. Texas has a fairly strong economy, but growth has slowed since 2004.
C. Texas has a stable economy, but lacks industrial diversity.
D. Texas has a strong oil industry, but all other sectors have struggled recently.
Answer:
D
Step-by-step explanation:
sorry if incorrect
Answer:
The answer is A. Texas has one of the strongest and most diverse economies in the country.
Step-by-step explanation:
Texas is a densely populated state with numerous successful industries and businesses. It has many different cultures and ways of life. Texas has grown and adapted in order to succeed and not only remain stable and functioning, but also climb the ladder of achievement and keep its position (there). (Modern) Texas has a diverse economy that continues to thrive.
Which ordered pair is a solution of the equation? −7x+3y=2
Answer:
(-2/7,2/3)
Step-by-step explanation:
Let's solve for x.
−7x+3y=2
Step 1: Add -3y to both sides.
−7x+3y+−3y=2+−3y
−7x=−3y+2
Step 2: Divide both sides by -7.
−7x/ −7 = −3y+2/ −7
x= 3/ 7 y+ −2/ 7
Answer:
x= 3/ 7 y+ −2/ 7
Let's solve for y.
−7x+3y=2
Step 1: Add 7x to both sides.
−7x+3y+7x=2+7x
3y=7x+2
Step 2: Divide both sides by 3.
3y/ 3 = 7x+2/ 3
y= 7/ 3 x+ 2/ 3
Answer:
y= 7/ 3 x+ 2/ 3
Sonia has a hat collection. The ratio of white hats to
blue hats in her hat collection is 10:9. Which ratio is
equivalent to 10:9?
Answer:
20:18 30:27 40:36 etc..
Step-by-step explanation:
To find equivalent ratios you multiply both 10 and 9 by the same number to find equivalent ratios.
The function r(n) = 5n² + 1 represents the value of the nth term in a sequence.
What is the sum of the 1st and 3rd terms of the sequence?
Step-by-step explanation:
a_n=5n²+1
➜a_1=5(1)²+1
➜5×1+1
➜5+1
➜6➜a_3=5(3)²+1
➜5×9+1
➜45+1
➜46Which expressions represent rational numbers? Check all that apply.
Answer:
The answer is 1.2 or 5
Step-by-step explanation:
Answer:
B,D,E
Step-by-step explanation: