The rate of change or slope can is the ratio of the change in horizontal axis to the change in the vertical axis, Hence, all the equations stated above can be used to obtain the slope.
The slope or rate of change can be obtained using the following expression :
Slope = Rise / Run Slope = (y2 - y1) ÷ (x2 - x1) Slope = (△Y ÷ △X)Therefore, all the given equations in the option can be used to obtain the slope value of a line.
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Question: Two years ago, my age was four times the age of my son, eight years ago my age was ten times the age of my son find the age of my son now This question has already been explained by my friend, but I don't get how she knew she had to get the dad's age in terms of sons age, + 6 to it, and then solve it. Someone please explain
Answer:
My age is 38 years old
My son is 11 years old
Step-by-step explanation:
Represent my current age with x and my son's current age with y
Two years ago;
[tex]x - 2 = 4 * (y - 2)[/tex]
Eight years ago:
[tex]x - 8 = 10 * (y - 8)[/tex]
Simplify both expressions
[tex]x - 2 = 4 * (y - 2)[/tex]
[tex]x - 2 = 4y - 8[/tex]
Add 2 to both sides
[tex]x - 2 +2= 4y - 8 + 2[/tex]
[tex]x = 4y - 6[/tex]
Substitute 4y - 6 in the second equation
[tex]x - 8 = 10 * (y - 8)[/tex]
[tex]4y - 6 - 8 = 10 * (y - 8)[/tex]
[tex]4y - 14 = 10y - 80[/tex]
Collect Like Terms
[tex]4y - 10y = 14 - 80[/tex]
[tex]-6y = -66[/tex]
Divide through by -6
[tex]y = 11[/tex]
Substitute 11 for y in [tex]x = 4y - 6[/tex]
[tex]x = 4 * 11 - 6[/tex]
[tex]x = 44 - 6[/tex]
[tex]x = 38[/tex]
how many times larger is the mass of an average grain of rock song than the mass of an average grain of table salt
Answer:
40
Step-by-step explanation:
The sample answer for edmentum is: The first factor of the mass of an average grain of rock salt is 40 times the first factor of the mass of an average grain of table salt. So, the mass of an average grain of rock salt is 40 times greater than the mass of an average grain of table salt.
The mass of an average grain of rock sand is 43.4 times larger than the mass of an average grain of table salt
What is scale factor?Scale factor is used to compare the size of two objects. Mathematically, we can write -
{K} = S{O1}/S{O2}
13 mg
Given is to compare the mass of an average grain of rock sand than the mass of an average grain of table salt.
The mass of an average grain of rock sand is : 13 mg
The mass of an average grain of table salt is : 0.3 mg
So, we can write that -
{K} = M{rock sand}/M{table salt}
{K} = 13/0.3
{K} = 130/3
{K} = 43.4
So, it can be concluded that the mass of an average grain of rock sand is 43.4 times larger than the mass of an average grain of table salt.
Therefore, the mass of an average grain of rock sand is 43.4 times larger than the mass of an average grain of table salt.
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Find the product 0.025 x 7
A. 0.0175
B: 0.175
C. 1.75
D. 17.5
Answer:
b
Step-by-step explanation:
used a calucator
Suppose the manager of a gas station monitors how many bags of ice he sells daily along with recording the highest temperature each day during the summer. The data are plotted with temperature, in degrees Fahrenheit (°F), as the explanatory variable and the number of ice bags sold that day as the response variable. The least squares regression (LSR) line for the data is ????ˆ=−125.30+2.32???? . On one of the observed days, the temperature was 82 °F and 68 bags of ice were sold. Determine the number of bags of ice predicted to be sold by the LSR line, ????ˆ , when the temperature is 82 °F. Enter your answer as a whole number, rounding if necessary.
Jace is moving and must rent a truck. There is an initial charge for the rental plus a
fee per mile driven. Let C represent the total cost of renting the truck when the truck
is driven m miles. The table below has select values showing the linear relationship
between m and C. Determine the initial fee to rent the truck.
Answer:
$30
Step-by-step explanation:
Answer: 45
Step-by-step explanation:
To find how much money Jace would be charged if he drove 5 miles with the rented truck, we must plug in
5
5 for
m
m
At Southbrook Middle School 42% of the 850 students play only one sport. How many students play only one sport?
Answer:
357
Step-by-step explanation:
Pls mark brainliest :)
2x4 – 5x3 + 2x2 + 5x - 10
x - 2
answer 97
Step-by-step explanation:
2x4 – 5x3 + 2x2 + 5x - 10
x - 2 = 97
identify is this is percent increase or percent decrease, then calculate percentage
Last year the Chess club had 30 members. This year the club has 24 members.
Please help asap
Last year the chess club had 30 members. This year the club has 24 members.
Last year, the chess club had 30 members. This year, the club has 24 members. Since this year had less than last year ( 30 > 24), the percent will be decreasing.
To find the percent decrease, you have to use the following formula.
[tex]\frac{Difference}{Original} \times 100[/tex]
Difference refers to the difference between the two numbers, 24 and 30. The difference between 24 and 30 is 6. Original refers to the original number, which is last year's amount of members in the chess group. Therefore, original = 30.
Substitute the numbers into the formula.
[tex]\frac{Difference}{Original} =\frac{6}{30} =0.2[/tex]
To convert the decimal to a fraction, multiply the decimal by 100.
[tex]0.2 \times 100 = 20 \%[/tex]
The answer is the number of chess members decreased by 20%.
____
Since I started off by identifying whether it was decreasing or increasing, I did the work a bit differently. When finding the difference, you would usually subtract 30 from 24, which results in -6. Above I used 6, but if you used -6, you would end up with a result of -20%, which means it decreased by 20%. They bot end up with the same result, but you don't always have to first identify whether it's decreasing or increasing.
____
Answer:
Decreasing
Step-by-step explanation:
The percentages are decreasing because one year the club had 30 members and the present year has 24 members that decreased by 6!
The base of the triangular flag was 4ft and the height was 3 feet. What is the area of Karmas flag
Answer:
6 [tex]ft.^{2}[/tex]
Step-by-step explanation:
Use the triangle area equation
[tex]A=\frac{b*h}{2}[/tex]
plug in the base (4ft) times the height (3ft) then divide by two
11.) The table shows four account transactions. Find the account balance after all the
account transactions if the account started at zero.
deposit $35
deposit
$25
withdrawal -$50
withdrawal -$25
Answer:
-15
Step-by-step explanation:
35+25=60
60-50=10
10-25=-15
Luca is planning to pay the restaurant bill for his coworkers. The bill was $193.75. A 4% tax was then added by the waiter. If Luca wants to leave a 16% tip on the total amount including the tax, how much should Luca pay?
$201.50
$217.50
$224.75
$233.74? pls help 50 point give good ansewr
Answer:
D; $223.74
Step-by-step explanation:
The amount of bill before tax = $193.75
Percentage of tax added by the waiter = 4%
Amount of tax added by the waiter = (4/100) * 193.75 dollars
= 775/100 dollars
= 7.75 dollars
Total bill after tax = (193.75 + 7.75) dollars
= 201.50 dollars
Percentage of tips that Luca wants to give = 16%
Amount of tips that Luca wants to give = (16/100) * 201.50 dollars
= 32,24 dollars
The total amount that Luca needs to pay = (201.50 + 32.24) dollars
= 233.74 dollars
The answer is D
Hope this helps!
Answer: D
pls give me brainliest
how many times 92 go in too 100
Answer:
5
Step-by-step explanation:
Answer:
1 time
Step-by-step explanation:
can anyone help with this please? 20 points for it
Answer:
9
Step-by-step explanation:
3^2 = 9
When Kendra babysits, she charges a one time fee of $20 plus $7 per hour. Last night she earned $41.
write an equation to represent this
Answer:
7x+20=41
Step-by-step explanation:
41-20=21
21/7=3
x=3
x represents the hours worked.
Yesterday, the snow was 2 feet deep in front of Archie’s house. Today, the snow depth dropped to 1.6 feet because the day is so warm. What is the percent change in the depth of the snow?
The percent change in the depth of snow from yesterday to today is
%
Answer:
20%
Step-by-step explanation:
2-1.6=0.4
0.4/2x 100
40/200=1/5 or 20%
Which statement is NOT correct?
A An exterior angle of a triangle can equal one of the interior angles of the triangle.
B An exterior angle of a triangle can be acute, right, or obtuse.
C A triangle can have two exterior angles that are obtuse angles.
D A triangle can have two exterior angles that are acute angles.
Answer:
A. An exterior angle of a triangle can equal one of the interior angles of the triangle.
Step-by-step explanation:
The triangle can have more than one exterior angles that can be acute or obtuse angles since the triangles angles must sum to 180 degrees. The exterior angle of a triangle is equal to the sum of the interior angles of the triangle.
HELP ME PLS OMG -LS PLS PLS PLS ASAP ASAP PLS pls
Answer:
No, Yes, Yes
Step-by-step explanation:
no yes yes
(gl on your test or whatever)
HELP ME IN THIS QUESTION PLSS
Answer:
Rational, irrational, rational, irrational
Step-by-step explanation:
-115.5: all negative numbers are rational
23.083: 3 is recurring- recurring numbers are irrational
2 under root 9 = 6
the number goes on without a pattern= irrational
You Start At (4,-2) You Move Left 1 Unit And Up 1 Unit. Where Do You End?
Answer:
(3,-1)
Step-by-step explanation:
this is because you have to use the equation [tex]y=-1x+2[/tex] which will bring you from (4,-2) to (3,-1)
What are the solutions of this quadratic equation?
X^2 = 16x – 65
Answer:
x= 4.3125
Step-by-step explanation:
Answer:
x=4+7i and x=4-7i
Step-by-step explanation:
Rewrite the given quadratic equation by completing the square.
x^2-8x=-65
x^2-8x+16=-65+16
x^2-8x+16=-49
(x-4)^2=-49
Now, solve the equation by applying the square root property and isolating x.
(x-4)^2=-49
√(x-4)^2 = √-49
x-4=+7i
x=4+7i
So, the solutions to the given quadratic equation are x+4+7i and x=4-7i.
Bank customer has came to the limit of her free monthly transactions will
be charged $1.50 for each additional transaction. If she buys groceries for $139.86,
gas for $51.95, and two movie tickets for $26.00 on her bank card, what will the total
deducted from her account be? Show work.
Answer: The total deducted from her account with be $220.81
Step-by-step explanation: Just add them all together adding $1.50 after each on
I need help please, can you help me?
Answer:
x= 16 degrees
Step-by-step explanation:
the angles can be a little hard to remember but just know that the angles that are outside of the transversal are exterior angles and if they are on the opposite sides of the line that passes through the parallel lines then they're alternate exterior angles and those angles that are inside are interior angles and if they are on the opposite sides of the line passing through the parallel then they are alternate interior angles .
Giving brainliest hehehehe
Answer:
A
Step-by-step explanation:
quotient is answer to division problem
Answer: A.
Step-by-step explanation:
In the division model you divide to find the number of counters in each group. ... In multiplication the numbers you multiply are called factors; the answer is called the product. In division the number being divided is the dividend, the number that divides it is the divisor, and the answer is the quotient.
I hope this helps plz tell me if its wrong so i can fix it.
1 11. What is the constant of proportionality? y = 8x
Answer:
-8
Step-by-step explanation:
lere
Write the equation of a line in Slope-Intercept Form that passes through the points
(-8, -12) and (4, -3).
Answer:
y=3/4x-6
Step-by-step explanation:
u have to use the y2-y1/x2-x1 to fid the slope which is 3/4
then use slope intercept form which is y=mx+b to find if the equation has a y-intercept, plug in on point into the slope intercept form -12=3/4(-8)+b and u would get 6.
How is the expression 4^-2 written using a positive exponent
9514 1404 393
Answer:
1/4^2
Step-by-step explanation:
The applicable rule of exponents is ...
a^-b = 1/a^b
__
Then ...
4^-2 = 1/4^2
Please help omg please:( just please I don’t wanna fail
Answer:
use the app called socratic
Step-by-step explanation:
Find the slope of the line $3x+5y=20$.
Ans-
-3/5 is the slope.
Step-by-step explanation:
3x+5y=20
5y= -3x + 20
y= -3/5x + 20
m= -3/5
Write the slope-intercept form of the equation of each line given the slope and y-intercept.
1) Slope = 6, y-intercept = 5
2) Slope = -1/3, y-intercept = 1
Answer:
1.) y= 6x+5
2.) y= -1/3x+1
Step-by-step explanation:
Slope Intercept Form is y=mx+b,
where slope is m
the y-intercept is b
So I just plugged in the slope and y-int to get the equation
Express 48 as a product of its primes.
Answer:
2 x 2 x 2 x 2 x 3.
Step-by-step explanation:
The number 48 expressed as a product of its prime factors is 2 x 2 x 2 x 2 x 3.
Answer:
2 x 2 x 2 x 2 x 3.
Step-by-step explanation:
^^^