Answer:
-10
Step-by-step explanation:
well you know that
[tex](-)(-)=(+)[/tex]
so we have
[tex]-21-(-11)\\\\=-21+11\\\\=-10[/tex]
Find the perimeter of the triangle to the nearest whole unit.
18.
16.
14.
12.
Answer:
14
Step-by-step explanation:
Perimeter of the ∆ = sum of the length of the 3 sides.
The length of the 3 sides can be calculated by using the distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex], to find the distance between the vertices of the ∆.
The coordinates of the 3 vertices are:
(-1, 3), (2, 2), (-2, -2)
Distance between (-1, 3) and (2, 2):
Let,
[tex] (-1, 3) = (x_1, y_1) [/tex]
[tex] (2, 2) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(2 -(-1))^2 + (2 - 3)^2} [/tex]
[tex] d = \sqrt{(3)^2 + (-1)^2} [/tex]
[tex] d = \sqrt{9 + 1} = \sqrt{10} = 3.2 units [/tex]
Distance between (2, 2) and (-2, -2)
Let,
[tex] (2, 2) = (x_1, y_1) [/tex]
[tex] (-2, -2) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(-2 - 2)^2 + (-2 - 2)^2} [/tex]
[tex] d = \sqrt{(-4)^2 + (-4)^2} [/tex]
[tex] d = \sqrt{16 + 16} = \sqrt{32} = 5.7 units [/tex]
Distance between (-2, -2) and (-1, 3)
Let,
[tex] (-2, -2) = (x_1, y_1) [/tex]
[tex] (-1, 3) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(-1 -(-2))^2 + (3 -(-2))^2} [/tex]
[tex] d = \sqrt{(1)^2 + (5)^2} [/tex]
[tex] d = \sqrt{1 + 25} = \sqrt{26} = 5.1 units [/tex]
Perimeter of triangle = 3.2 + 5.7 + 5.1 = 14.0 units
It's possible to build a triangle with side lengths of 4, 4, and 16
Answer:
Yes it's possible to make a triangle with 4, 4 and 16.
But if it also has 2 equal angles along with the equal sides (4 and 4), you can call it isosceles triangle.
How are natural and whole numbers different ?
Answer:
Whole numbers include 0 while natural numbers do not.
Step-by-step explanation:
Natural numbers are 1, 2, 3, 4, etc.
Whole numbers are 0, 1, 2, 3, 4, etc.
I had $3.00.
My Mom gave me $10.00.
My Dad Gave me $30.00.
My Aunt & Uncle gave me $100.00.
I had another $7.00.
How much did I have?
Respuesta:
200.00.
Exli con i
esunsua ma
Here, I required to determine how much I have.
According to the data in the question;
I had $3.00.Then, My Mom gave me $10.00.Then, My Dad gave me $30.00.My Aunt & Uncle gave me $100.00.I had another $7.00.Therefore, the algebraic sum of all my money results in the amount I have now.
The amount I have now is:
$3.00 + $10.00 + $30.00 + $100.00 + $7.00= $150.
The amount I have now is: $150
Solve the absolute value equation below 3|6-4x|-4=
Answer:
Impossible, not enough to answer the question
Step-by-step explanation:
As you can see because there is no number or variable past the equal sign it is simply an expression, please correct me if I am wrong but even if the other side was 0, I doubt a teacher would give this problem with decimals, but it may just be me.
A town doubles its size every 44 years. If the population is currently 8,000, what will the population be in 88 years?
Answer:
32,000
Step-by-step explanation:
In 44 years, it will double to 16,000. In 44 more years (88 years from now), it will double again to 32,000.
The population in 88 years will be 32,000.
PLEASE HELP WITH PART 2! :)
Answer:
• The equation is a contradiction
• The solution set is Ø
Step-by-step explanation:
The simplest approach to this problem is solving for the value of y, and then identifying what type of equation it is. Remember that conditional equations have a defined value, contradiction equations have no solutions, and identity type equations have infinite solutions. Let's solve for y,
[tex]\mathrm{Given:5y\:+\:5\:-\:11y\:=\:-\:2y\:-\:7\:-\:4y},\\\\\mathrm{Add\:similar\:elements:}\\\\=> -6y+5=-2y-7-4y\\=> -6y+6y=-6y-12+6y\\=>0=-12[/tex]
Both sides are not equal, and hence we have no solutions. Our equation is contradiction, and the solution set is Ø.
Steps to solve:
~Combine like terms
-6y + 5 = -6y - 7
~Subtract 5 to both sides
-6y = -6y - 12
~Add 6 to both sides
0 = -12
There are no solutions.
Best of Luck!
Thirteen plus a number N is greater than fifteen
What is the multiplication 12×4
Answer: 48
12+12=24
24+12=36
36+12=48
12x4= 48
Arrange the numbers one on top of the other and line up the place values in columns.
Starting with the ones digit of the bottom number, the multiplier, multiply it by the last digit in the top number.
Write the answer below the equals line.
:)
(Ticket sales) tickets for a community theater costs $10 for each main floor seat and $8 for each balcony seat. There are 400 seats on the main floor, and these seats were sold out for the evening performance. The total revenue from ticket sales was $5200. How many balcony seats were song?
Answer:
150
Step-by-step explanation:
400*10=4000
5200-4000=1200
1200 divided by 8 =150
Answer:
150 seats were sold.
Step-by-step explanation:
first do 10x400= 4000
then 5200-4000= 1200
divide that by how much balcony tickets cost, so 1200÷8= 150 seats
y = 7x - 15
y = 4x - 12
Answer:
Step-by-step explanation:
7x - 15 = 4x - 12
3x - 15 = -12
3x = 3
x = 1
y = 7(1) - 15
y = 7 - 15
y = -8
(1, -8)
If FG = 10, GH = 7x, and FH = 9x, what is FH?
F 10
G
H
9x
Answer: FH is 9x, given in the question
It's 45 if you solve for x and plug in x=5
Step-by-step explanation:
FG+GH =FH
10+7x= 9x
10=2x
x=5
FG+GH=FH
10 +7(5) = 9(5)
10 + 35 =45
Find the difference. (-ab+5a-8)-(4ab-5)
Answer:
-5ab + 5a - 3
Step-by-step explanation:
(-ab + 5a - 8) - (4ab - 5) =- ab + 5a - 8 - 4ab + 5 = (-1 - 4)ab + 5a - 3 =-5ab + 5a - 3Mr. Edwards bought a 50-pound bag of flour for his bakery. It was equally divided among 6 days. How much flour was used per day?
Answer:
8 [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
50 ÷ 6 = 8.3333333333... Which simplify's (as a fraction) into 8 [tex]\frac{1}{3}[/tex].
Each day 8.33 pounds of flour is used.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Mr. Edwards bought a 50-pound bag of flour for his bakery.
It was equally divided among 6 days.
So, According per day the flour will be used
= 50/6
= 25/3
= 8.33 pound
Hence, 8.33 pounds used per day.
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
Suppose that, in 1995, Germany produced 4.719 million computers. The total world production that year totaled 80 million computers. What percent of the world's total production of computers is contributed by Germany? Round your answer to the nearest tenth.
Answer:
To the nearest tenth
Percentage= 5.9%
Step-by-step explanation:
In 1995, Germany produced 4.719 million computers.
In that same year, the total computer production of the whole world was 80 million.
The percentage of the world production contributed by Germany
=Number produced by Germany/Number produced by the whole world * 100
The percentage of the world production contributed by Germany
=( 4.719/80)*100
The percentage of the world production contributed by Germany
=5.89875%
To the nearest tenth
= 5.9%
Sketch and shade the region in the xy-plane defined by the equation or inequalities. |x| < 7 and |y| < 2
Answer:
Here we have:
IxI < 7
This also can be written as:
-7 < x < 7
and:
IyI < 2.
As above, we can write this as:
-2 < y < 2.
Then the graph of this region will be a rectangular area, where the perimeter is a dashed line (because here we use the strictly smaller or strictly larger symbols)
Such that the vertical component goes from -2 to 2, and the horizontal component goes from -7 to 7.
The area would be the area inside that rectangle, where i did not shade it so it is easier to read.
PLZ HELP I"LL GIVE BRAINLIEST TO THE BEST ANSWER AND 5 STARS AND A THANKS. PLZ ITS IN THE PICTURE!!!
Answer:
The constant of proportionality is 1/3.
Step-by-step explanation:
You can find this answer by taking two coordinates shown and put them into a fraction form.
Example:
The second coordinate is (2, 6)--> 2/6, which reduced is 1/3.
To test that 1/3 is correct, you can do another coordinate: (4, 12)-->4/12, which reduced is also 1/3.
So 1/ 3 is correct.
Or take a look at the graph...
the red lines are always two units across, and the blue lines are always six units in height. So 2/6, (length, height), which can be reduced to 1/3, the constant of proportionality.
What is the solution of log(t-3) = log(17-4t)?
Answer:
t=4
Step-by-step explanation:
Answer:
Solution: 4
Step-by-step explanation:
We are given that log(t - 3) = log(17 - 4t), and need to solve for the value of t. Start off by applying the log rule 'If log(f(x)) = log(g(x)) say, then f(x) = g(x).' Similarly the equation boils down to the following:
t - 3 = 17 - 4t
Solving this equation, we will receive our solution. Let's do it:
t - 3 = 17 - 4t,
t = 20 - 4t,
5t = 20,
t = 20/5 = 4 ✓
The previous solution is correct.
It takes Ron 3 hours to paint one side of a house. It takes Natalie 6 hours to paint the same area. What is Natalie's rate
of doing a side of a house in an hour
Answer:
the answer is 6x3 which is 18
Step-by-step explanation:multiply to find out the answer
If you have 1,478 squares, can you make a stair-like structure using all of the squares?
Keena's shirt is $13. She gets a 20% off. What is the price?
Answer:
$10.40
Step-by-step explanation:
Just like any other percent problem, subtract 20%.
$13 - 30% = $10.40
Your answer is $10.40. Hope this helps!
The scatter plot shows association between the age of a motorcycle and the sale price of the motorcycle because as the age of a motorcycle increases, the sale price of the motorcycle
Answer:
C
Step-by-step explanation:
The answer is C
WILL MARK BRAINLIEST EASY MATH PROBLEM!!! + FREE VBUCKSSS
Answer:
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
Monica is a lawyer who earns $8,322.65 every month. She spends $830.98 on rent, $210.36 on food, and $120.45 on gas every month. After these expenses, she has $ left from her earnings.
Answer:
Money left from her earning after expenses is $ 7160.86
Step-by-step explanation:
Money earned by Monica every month = $ 8322.65
Money spend on rent = $ 830.98
Money spend on food = $ 210.36
Money spend on gas every month = $ 120.45
Money left from her earning = 8322.65 - ( 830.98 + 210.36 + 120.45 )
= 8322.65 - 1161.79
= $ 7160.86
Answer:
Money left from her earning after expenses is $ 7160.86
Step-by-step explanation:
Money earned by Monica every month = $ 8322.65
Money spend on rent = $ 830.98
Money spend on food = $ 210.36
Money spend on gas every month = $ 120.45
Money left from her earning = 8322.65 - ( 830.98 + 210.36 + 120.45 )
= 8322.65 - 1161.79
= $ 7160.86
Therefore. Money left from her earning after expenses is $ 7160.86
Rewrite 6(10 + 2) using the Distributive Property. Then simplify.
Answer:
72 simplified
Step-by-step explanation:
6 x 10 + 6 x 2
60 + 12 = 72
Answer:
[tex]\huge\boxed{\boxed{72}}[/tex]
Step-by-step explanation:
Hello.
This problem can be solved without using the Distributive Property; all we have to do is use... mental maths. :)
First, add 10 plus 2:
12
Now, multiply 12 times 6:
72
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
WHAT IS 100 TIMES GREATER THAN 20
Answer:
2000
Step-by-step explanation:
20 x 100 = 2000
Hope this helps
Linear equation
4X-12+3x+9
Steps to solve:
4x - 12 + 3x + 9
~Combine like terms
(4x + 3x) + (-12 + 9)
~Simplify
7x - 3
Best of Luck!
Answer:
X = 3/7
Step-by-step explanation:
4X - 12 + 3X + 9 = 0 (separate them)
4X + 3X = 12 - 9 (add)
7X = 3 (divide 7 on both sides)
X = 3/7
if a company sells about 3 of product A for every 2 of product B, how many of each would they sell if a total of 7500 were sold?
A bag of peanuts weights 8 1/3 pounds. One serving
Is 1/3 pound. How many servings are in the bag?
Answer:
There are three servings in 1 pound so there are 8*3 servings in one pound which is 24. Plus an extra serving for the extra 1/3 pound makes for a final answer of 25 servings.
Find the midpoint of the segment with the given endpoints. (-10.2) and (0,-7)
Answer:
[tex]=\left(-5,\:-\frac{5}{2}\right)[/tex]
Step-by-step explanation:
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)\\\\\left(x_1,\:y_1\right)=\left(-10,\:2\right),\:\left(x_2,\:y_2\right)=\left(0,\:-7\right)\\\\=\left(\frac{0-10}{2},\:\frac{-7+2}{2}\right)\\\\= (\frac{-10}{2} , \frac{-5}{2})\\ \\=\left(-5,\:-\frac{5}{2}\right)[/tex]