Answer:
Slope: \(m = -\frac{1}{5} \)
Step-by-step explanation:
Formula: \(m = \frac{rise}{run} = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} \)
Points: (-12, -5) (3, -8)
\(m = \frac{-8 + 5}{3 + 12}\)
\(m = -\frac{3}{15}\)
\(m = -\frac{1}{5} \)
Answer:
\(\boxed{\sf{m=-\frac{1}{5} }}}\)
Step-by-step explanation:
The slope of the line through the following points can be found by using the slope formula.
Slope:
\(\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} \)
y₂=(-8)
y₁=(-5)
x₂=3
x₁=(-12)
\(\sf{\dfrac{(-8)-(-5)}{3-(-12)}}=\dfrac{-3}{15}=\dfrac{-3\div3}{15\div3}=\dfrac{-1}{5}=\boxed{\sf{-\dfrac{1}{5} }}\)
As a result, the slope is -1/5, which is our answer.
Graph the system of equations on your graph paper to answer the question.
{y=x−4y=−x+6
What is the solution for this system of equations?
Answer: (5 , 1)
Step-by-Step explanation:
hihi your problem is a system of question y = x-4 and y = -x+6 okay so graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!
y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right
y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left
once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!
the solution is x = 5 and y = 1 which is also (5 , 1)
hopefully this was helpful !
Analyze the table below and complete the instructions that follow.
Blue
Brown
Green
Total
Male
10
B
1
28
Female
D
15
C
26
Total
18
A
4
E
Solve for the variables in the table.
Answer:
C
Step-by-step explanation:
Solve for the unknown. q- 5/6=1 5/6
Answer:
q=8/3
Step-by-step explanation:
First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.
Answer:
\(q=2\frac{2}{3}\)
Step-by-step explanation:
The given equation consists of a fraction and a mixed number.
First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:
\(q-\dfrac{5}{6}=1 \frac{5}{6}\)
\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)
\(q-\dfrac{5}{6}=\dfrac{11}{6}\)
Now, add 5/6 to both sides of the equation to isolate q:
\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)
\(q=\dfrac{11}{6}+\dfrac{5}{6}\)
As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:
\(q=\dfrac{11+5}{6}\)
\(q=\dfrac{16}{6}\)
Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).
The GCF of 16 and 6 is 2, therefore:
\(q=\dfrac{16\div 2}{6 \div 2}\)
\(q=\dfrac{8}{3}\)
Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:
\(q=2 \; \textsf{remainder}\;2\)
The mixed number answer is the whole number and the remainder divided by the denominator:
\(q=2\frac{2}{3}\)
When Linda makes potato salad, she uses 6 potatoes and 4 hard-boiled eggs.
How many eggs will she need if she uses 12 potatoes?
Answer:
8
Step-by-step explanation:
So she uses 6 potatoes and 4 hard-boiled eggs then it says "how many eggs will she need if she uses 12 potatoes" So I know that 6 doubled and turned into 12 so 4 will double and turn into 8.
Solve the Multi-Step Equations and check. Solve for x
15x - 24 - 4x = -79
Answer:
x = -5
Step-by-step explanation:
Step 1: Write out equation
15x - 24 - 4x = -79
Step 2: Combine like terms
11x - 24 = -79
Step 3: Add 24 to both sides
11x = -55
Step 4: Divide both sides by 11
x = -5
Step 5: Check step
Plug in -5 into the original equation
15(-5) - 24 - 4(-5) = -79
-75 - 24 + 20 = -79
-99 + 20 = -79
-79 = -79
Answer:
x = -5
Step-by-step explanation:
15x - 24 - 4x = -79
11x - 24 = -79
11x = -55
x = -5
Check:
15 * -5 - 24 - 4 * -5
= -75 - 24 + 20
= -79
multiply 3 3/4 how to solve please tell
Step-by-step explanation:
\(3 \frac{3}{4} = \frac{3 \times 4 + 3}{4} = \frac{15}{9} \\ \)
One should continue to monitor his or her goals and adjust his or her plan for achieving them when it is necessary?
Answer:
I think this is a true or false if so the answer is true:)
Answer:If its true or false the answer is FALSE
Step-by-step explanation: Just took the test
What is -20/2(7 2/3)
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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cos xº [Hint: Change degree into radian] find the derivative from definition
The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)
Finding the derivative of the functionFrom the question, we have the following function definition that can be used in our computation:
cos(xº)
Changing the degree into radian, we have
cos(xπ/180)
Express as a function
So, we have
y = cos(xπ/180)
When the cosine function is differentiated, we have
y' = -sin(xπ/180)
Hence, the differentiated function is y' = -sin(xπ/180)
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PLEASE HELP ME Right NOW
Answer:
the answer is 13.93
Step-by-step explanation:
if he ran 18.73 last year and it decreased 4.8 then you would minus 18.73 and 4.8 and you would get 13.93
Answer:
The answer is 23.53 minutes.
Explanation:
If Shawn ran a race in 18.73 minutes this year, and took 4.8 minutes more this time than last year. Last year he took 23.53 minutes this year.
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A pound of rice has a mixture of two types of rice, each costing $10 and $30, if the average cost per is $24, what is the ratio of the different types of rice?
Answer:
3:7
Step-by-step explanation:
Let x = pounds of the $10 rice in the mixture
Let y = pounds of the $30 rice in the mixture
Total cost of the $10 rice = 10x
Total cost of the $30 rice = 30y
(10x + 30y) / (x + y) = 24
Solve this equation for y/x:
10x + 30y = 24(x + y)
10x + 30y = 24x + 24y
30y - 24y = 24x - 10x
6y = 14x
y/x = 6/14 simplify the fraction
y/x = 3/7
So, the ratio of the two different types of rice (y:x) is 3:7, meaning a pound of the rice mixture has 3 parts of the $30 rice to 7 parts of the $10 rice.
A line passes through the points (0, 4) and
(2,-2). A second line passes through the
points (1, -9) and (7, -7). At what point do
the two lines intersect?
Answer:
I would say (4, -8)
Step-by-step explanation:
Suppose a man invested $300 at the end of 1900 in each of three
funds that tracked the averages of stocks, bonds, and cash,
respectively. Assuming that his investments grew at the rates
given in the table to the right, approximately how much would
each investment have been worth at the end of 2010?
Category
Stocks
Bonds
Cash
His investment in the fund tracking stocks would be worth approximately $
(Do not round until the final answer. Then round to two decimal places as needed.)
Average Annual Return
6.4%
1.7%
0.7%
Answer:
To calculate the value of each investment at the end of 2010, we need to use the compound interest formula:
A = P(1 + r/n)^(nt)
where:
A = the final amount
P = the initial investment
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
For the investment in the fund tracking stocks:
P = $300
r = 6.4% = 0.064
n = 1 (assuming the interest is compounded annually)
t = 2010 - 1900 = 110
A = 300(1 + 0.064/1)^(1*110) = $208,884.78 (rounded to the nearest cent)
For the investment in the fund tracking bonds:
P = $300
r = 1.7% = 0.017
n = 1
t = 2010 - 1900 = 110
A = 300(1 + 0.017/1)^(1*110) = $2,326.34 (rounded to the nearest cent)
For the investment in the fund tracking cash:
P = $300
r = 0.7% = 0.007
n = 1
t = 2010 - 1900 = 110
A = 300(1 + 0.007/1)^(1*110) = $862.38 (rounded to the nearest cent)
Therefore, the investment in the fund tracking stocks would be worth approximately $208,884.78 at the end of 2010, the investment in the fund tracking bonds would be worth approximately $2,326.34, and the investment in the fund tracking cash would be worth approximately $862.38.
ASAP pls help .....
11 Points
Answer:
0.008 3repeating
Step-by-step explanation:
If Fran were to paint her living room alone, it would take 5 hours. Her sister Wanda could do the job in 8 Hours. How many hours would it take them working together. Express your answer as a fraction reduced to lowest terms, if needed.
Answer:
around 3 hours, if i understand the question correctly.
Step-by-step explanation:
8 minus 5 is 3 :P
When rolling 2 number cubes what is the probability of rolling a 6
Answer:
Step-by-step explanation:
To find the probability of rolling a 6 on two number cubes, we need to calculate the number of favorable outcomes (rolling a 6 on either or both of the cubes) divided by the total number of possible outcomes.
Each cube has 6 sides, numbered 1 through 6. So, the total number of possible outcomes when rolling two cubes is 6 x 6 = 36.
The number of favorable outcomes is 2, because there are two ways to roll a 6: either rolling a 6 on the first cube and a 6 on the second cube, or rolling a 6 on one of the cubes.
So, the probability of rolling a 6 is:
favorable outcomes / total outcomes = 2 / 36 = 1/18
Therefore, the probability of rolling a 6 on two number cubes is 1/18 or approximately 5.56%.
which of the following are solutions to the quadratic equation check all that apply x ^ 2 + 10x + 25 = 2
Answer:
to solve the equation you first need to bring it to factors and by doing that you first need to let the equation equal 0 hence you need to minus 2 on both sides of the equation therefore
x^2 + 10x + 25 - 2 =2 - 2
therefore
x^2 + 10x +23 = 0
now since the equation cannot be factored, we use the formula.
x= \(\frac{-b +- \sqrt{b^{2}-4ac } }{2a}\)
where
a=1
b=10
c=23
note we use the coefficients only.
therefore x = \(\frac{-10 -+ \sqrt{10^{2}-4(1)(23) } }{2(1)}\)
=\(\frac{-10-+\sqrt{100-92} }{2}\)
=\(\frac{-10-+\sqrt{8} }{2}\)
then we form two equations according to negative and positive symbols
x=\(\frac{-10+\sqrt{8} }{2} or x =\frac{-10-\sqrt{8} }{2}\)
therefore x = \(-5+\sqrt{2}\) or x=\(-5-\sqrt{2}\)
A tree in Milan's backyard has been growing for 245 years. The tree is 14 meters tall.
What is the unit rate in meters per year?
Write your answer as a fraction or a mixed number in simplest form.
Which could be the function graphed below?
F(x)= /x-2
Answer:using a graph tool
see the figure attached
the answer is the option A
y=√{x}-2
Step-by-step explanation:
27L 600mL divided by 6
Answer:
4 L 600 mL
Step-by-step explanation:
1 L = 1000 mL
so 27 L 600 mL = 27000 + 600 = 27600 mL
27600/6 = 4600 mL
4 L 600 mL.
Rainer bought pounds of lunch meat at the store for . What was the unit rate (price) of the lunch meat?
The unit rate (price) of the lunch meat was $7.68
How to calculate the unit rate?The unit rate is the denominator of a ratio of two different units. For instance, kilometer/hour, meter/sec, mile/hour, salary/month, and so on. Arithmetic is the most fundamental and ancient branch of mathematics, and it is widely used in everyday life.
When expressed as a fraction, a unit rate has a denominator of one unit. To write a rate as a unit rate, divide the rate's numerator and denominator by the rate's denominator.
Since Rainer bought 1.43 pounds of lunch meat at the store for $10.98, the unit rate will be:
= Price / pounds of meat
= $10.98 / 1.43
= $7.68
The unit is $7.68.
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Complete question
Rainer bought 1.43 pounds of lunch meat at the store for $10.98. What was the unit rate (price) of the lunch meat
Help please
1 1/2% of what number is 10.05
Answer:
10/25%
Step-by-step explanation:
Answer: 15.075%
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A certain computer can perform a maximum number of operations per second. If this computer is running at 23% of the maximum and is performing 105 operations per second, what is the maximum number of operation the computer can perform per second
Answer:
I believe 457 operations
please solve this fast
Answer:
34
Step-by-step explanation:
5+5+2=12
12+6+3=21
21+8+5=34
Answer:45
Step-by-step explanation:
5+5(8)=45
For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton how many parts must the factory produce so that there is1 ton of scrap aluminum for recycling
The factory must produce 6,400 parts so that there is 1 ton of scrap aluminum for recycling.
It is given that For every part produced by a factory there are 5 ounces of scrap aluminum that can be recycled there are 16 ounces in 1 pound and 2,000 in 1 ton we need to find how many parts must the factory produce so that there is 1 ton of scrap aluminum for recycling
What is a Ratio?
A quantitative relation between two amounts showing the number of times one value contains in another
1 part produced ⇒ 5 ounces scrap aluminium recycled.
So, the ratio of parts produced : Scrap of aluminium = 1 : 5 .... (a)
Let us assume for m parts produced , 1 ton of scrap is recycled.
Also, 1 ton = 2, 000 pounds
and 1 pound = 16 ounces
⇒ 1 ton = 2000 x (16 ounces) = 32,000 ounces
So, for m parts made in the factory, 32,000 ounces scrap is recycled.
So, the ratio of parts produced : Scrap of aluminium = m : 32,000 .... (b)
From both the given ratio, we get
1 : 5 = m : 32,000
m=32000/5
m=6400
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If A is the set of all natural numbers, choose the set B that will make the following statement true
(See photo)
Answer:
b= {1,2,3,4} is the answer
4x-5+7(x+1)=6x+7
What is the solution to this problem
how to solve this problem the answer is 321
Find the perimeter of this rectangle.
53 in.
16 in.
[?]
inches
Answer:
138
Step-by-step explanation:
perimeter of rectangle=2(l+b)
=2(53+16)
=2(69)
=138
Write an negative number whose absolute value is greater than 3
Answer:
4+is the absolute value is greater than 3
g(x) = (2 (x+3))^3 + 4
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