Answer:
The value of b for the intersection of two lines at given points is 4
Step-by-step explanation:
Given as :
The two line equations are
y = 2 x + 7 ..........A
And
y = 2.5 x + b ............B
Since, The two lines are intersecting at point [tex]x , y[/tex] = - 6 , - 5
Now Solving equation A and B we get
2 x + 7 = 2.5 x + b
Or, 7 - b = 2.5 x - 2 x
Or, 7 - b = . 5 x
∵ intersecting points are x , y = - 6 , - 5
putting the value of y from points
i.e 7 - b = . 5 × ( - 6 )
Or, 7 - b = 3
Or, b = 7 - 3
∴ b = 4
So, The value of b = 4
Hence, The value of b for the intersection of two lines at given points is 4 Answer
50
decreased by
twice vidya's
height
Answer
Step-by-step explanation:
Let Vidya's height be x
2x - 50
Solve the equation.
−6t−7=17
solve for t
Answer:
-4
Step-by-step explanation:
6t=-24
t=-24/6
t=-4
Simplify the following expression with distribution 2x(x-y)
Answer:
2x^2-2xy
•••••••••••••
Answer:
Step-by-step explanation:
2x(x - y) = 2x^2 - 2xy
A submarine hovers at 66 and two-thirds yards below sea level. If it ascends 24 and StartFraction 1 over 8 EndFraction yards and then descends 78 and three-fourths yards, what is the submarine’s new position, in yards, with respect to sea level?
Negative 169 and StartFraction 13 over 24 EndFraction
Negative 121 and StartFraction 7 over 24 EndFraction
Negative 12 and StartFraction 1 over 24 EndFraction
12 and StartFraction 1 over 24 EndFraction
Answer:
b
Step-by-step explanation:
or a
Answer:
(B): -121 7/24
Step-by-step explanation:
i just did the quiz
Mom bought 8 apples we ate 1/4 of them. How many did we eat?
Answer:
you ate 2
Step-by-step explanation:
Answer:
we ate two apple
Step-by-step explanation:
8 divided by 4 (which is the common denominator ) is two
or eight in half is 4 so half of that again is 2
Please help!!!!!! just 7 and 8
solve the inequality.
x\6 <1
Answer:
x < 6
Step-by-step explanation:
treat it as a normal equation
One way to multiply a whole number bay fraction.
turn the whole number to a fraction by simply writing 1 underneath it. Example, 9 --> 9/1
Any fraction over one is the number itself like how 9/1 = 9
So then you can do like
9 x 2/3 --> 9/1 x 2/3 = 18/3
Can someone please help me
[tex]-\frac{1}{3}m+2 = -1 =>NO\\-2(-4m-6.4) = 44.8 => YES\\8m-5-2m +1 = 20 =>YES\\7m+6 = 9m-2 => YES[/tex]
Step-by-step explanation:
First of all, we will find the solution of the given equation
So,
Given equation is:
[tex]3m = 36-6m[/tex]
Adding 6m on both sides
[tex]3m+6m = 36-6m+6m\\9m = 36[/tex]
Dividing both sides by 9
[tex]\frac{9m}{9} = \frac{36}{9}\\m = 4[/tex]
In order to check, if the solution is the solution of given options, we will put the solution in the equation, if both sides of equations are equal then the solution belongs to the equation.
So,
For [tex]-\frac{1}{3}m+2 = -1[/tex]
Putting m=4
[tex]\frac{-1}{3}(4)+2 = -1\\\frac{-4}{3}+2 = -1\\\frac{-4+6}{3} = -1\\-\frac{2}{3} \neq -1[/tex]
For [tex]-2(-4m-6.4) = 44.8[/tex]
Putting m=4
[tex]-2[-4(4)-6.4]=44.8\\-2(-16-6.4) = 44.8\\-2(-22.4) = 44.8\\44.8 = 44.8[/tex]
For [tex]8m-5-2m +1 = 20[/tex]
Putting m=4
[tex]8m-5-2m +1 = 20\\6m-4 = 20\\6(4) -4 = 20\\24-4 = 20\\20 = 20[/tex]
for [tex]7m+6 = 9m-2[/tex]
Putting m = 4
[tex]7(4) +6 = 9(4) - 2\\28+6 =36-2\\34=34[/tex]
Keywords: Equations, linear equation
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The velocity v of an object rolled down an inclined plane is given by the formula v=
53d, where d is the distance the object has rolled, Solve the formula for d.
Final answer:
To find the distance an object has rolled down an inclined plane from the velocity equation v = √(53d), square both sides of the equation and then divide by 53 to solve for d.
Explanation:
The velocity v of an object rolled down an inclined plane is given by the formula v = √(53d), where d is the distance the object has rolled. To solve this equation for d, we can square both sides of the equation to remove the square root. The steps are as follows:
Square both sides of the equation: v² = (53d)².
Divide both sides by 53 to isolate d: d = v² / 53.
Now, d represents the distance the object has rolled down the inclined plane as a function of its velocity v.
A certain paint is sold in both 1-gal cans and 1-qt cans. The gallon can cost $13 and the quart can cost $5. How much more do you save per gallon by buying the larger cans?
Answer:
8% or 80%
Step-by-step explanation:
$13.00 - $5.00 = $8.00
Suppose you are determining the growth rate of two species of plants. Species Ais 25 cm tall and grows 3 em per month. Species
and grows em per month which system of equations models the height of each species (d) as a function of days
is 10 cm
tall
MC) - 320
Nd) - 8100
Nid) - 25
HD) 10 td
NE) - 104
HD) -
Question:
Suppose you are determining the growth rate of two species of plants. Species A is 25 cm tall and grows 3 cm per month. Species B is 10 cm tall and grows 8 cm per month. Which system of equations models the height of each species H(m) as a function of months m.
Answer:
The system of equations that models the height of each species H(m) as a function of months m is: [tex]H_A(m) = 25 + 3m \text{ and } H_B(m) = 10+8m[/tex]
Solution:
[tex]H_A(m)[/tex] = the height of species A as a function of months m
[tex]H_B(m)[/tex] = the height of species B as a function of months m
Species A is 25 cm tall and grows 3 cm per month
Let "m" be the number of months
Therefore, a equation is framed as:
Species A : 25 cm + 3(number of months)
[tex]H_A(m) = 25 + 3m[/tex]
Species B is 10 cm tall and grows 8 cm per month
Therefore, a equation is framed as:
Species B : 10 cm + 8(number of months)
[tex]H_B(m) = 10+8m[/tex]
Thus the system of equations that models the height of each species H(m) as a function of months m is: [tex]H_A(m) = 25 + 3m \text{ and } H_B(m) = 10+8m[/tex]
What is the product of (5x + 1)(5x - 1)?
O
O
O
A. 10x2-1
B. 10x2 + 10x-1
C. 25x2 + 10x-1
O
D. 25x2 - 1
Answer:
D) 25x^2-1
Step-by-step explanation:
(5x+1)(5x-1)
25x^2+5x-5x-1
25x^2-1
when x-y=3 work out the value of y-x
The value of y-x is (-3)
Solution:
Given: The value of x-y=3
To find: The value of y-x
[tex]\bold{x-y=3\rightarrow (1)}[/tex]
Let's multiply the equation (1) by (- 1) on both sides,
[tex]\Rightarrow\bold{(x - y)\times(- 1) = 3\times(- 1)}[/tex]
[tex]\Rightarrow\bold{-(x-y)=-3}[/tex]
On multiplying the sign,
[tex]\Rightarrow\bold{(-x+y)=-3}[/tex]
The above equation can also be written as,
[tex]\Rightarrow\bold{y-x=-3\rightarrow \text{(The required equation)}}[/tex]
Multiplication of signs:
[tex]\Rightarrow( + )\times( + ) = ( + )[/tex]
[tex]\Rightarrow( + )\times( - ) = ( - )[/tex]
[tex]\Rightarrow( - )\times( + ) = ( - )[/tex]
[tex]\Rightarrow( - )\times( - ) = ( + )[/tex]
In simpler terms, when we multiply two integers with the same signs, the result is always positive and when we multiply two integers with different signs, the result is always negative.
9) In one year, Angie's height went from 58 to 60 inches. What was the percentage increase in Angie's height? (Round to the nearest percentage)
The percentage increase in Angie's height is 3 %
Solution:
Given that, In one year, Angie's height went from 58 to 60 inches
To find: percentage increase
The percent increase between two values is the difference between a final value and an initial value, expressed as a percentage of the initial value.
The percent increase is given as:
[tex]\text { percent increase }=\frac{\text { final value - initial value}}{\text { initial value }} \times 100[/tex]
Here in this problem,
Initial value = 58 inches
Final value = 60 inches
Substituting the values we get,
[tex]percent\ Increase = \frac{60-58}{58} \times 100\\\\percent\ Increase = \frac{2}{58} \times 100\\\\percent\ Increase = 0.0344 \times 100\\\\percent\ Increase = 3.45 \approx 3[/tex]
Thus percentage increase in Angie's height is 3 %
Please help me. My math teacher said that there is some sort of pattern that will help us understand how to win the game. Here is what the question is:
You will be competing with other contestants for a grand prize of 1 million dollars. All of the contestants will form a circle around the host. Starting at seat #1, The person to the left of that contestant seat #1 is out of the game. The next remaining contestant is in seat #3. The person left of that remaining contestant is out of the game. This pattern continues until there is one contestant remaining. The object is simple. Determine what seat # you must sit on the circle in order to be the last contestant remaining. Since you do not know how many contestants are on the show, you must come up with an explanation of how to win at this game.
Thank you friends!
Let n = number of players
The chart showing the values of n and the final winners is shown below in the attached image.Drawing out each scenario is optional, but it helps visualize what is going on.
Let's play out scenarios for n = 2 through n = 12 to see what the pattern might be.
------------------
n = 2 players
Seat #1 eliminates seat #2
Winner = seat #1
This is fairly trivial and boring as there is only one round and one elimination.
------------------
n = 3 players
Seat #1 eliminates seat #2
Seat #3 eliminates seat #1
Winner = seat #3
Like with n = 2, this game is over in one round. For n = 4 and greater, we'll start to see multiple rounds.
------------------
n = 4 players
Start of Round 1
Seat #1 eliminates seat #2
Seat #3 eliminates seat #4
End of Round 1
Seats remaining = {seat #1, seat #3}
Start of Round 2
Seat #1 eliminates seat #3
End of Round 2
Winner = seat #1
------------------
n = 5 players
Start of Round 1.
Seat #1 eliminates seat #2
Seat #3 eliminates seat #4
Seat #5 eliminates seat #1
End of Round 1.
Seats remaining = {seat #3, seat #5}
Start of Round 2.
Seat #3 eliminates seat #5
End of Round 2
Winner = seat #3
------------------
n = 6
Start of round 1.
Seat #1 eliminates seat #2
Seat #3 eliminates seat #4
Seat #5 eliminates seat #6
End of Round 1
Seats remaining = {seat #1, seat #3, seat #5}
Start of round 2
Seat #1 eliminates seat #3
Seat #5 eliminates seat #1
End of Round 2
Winner = seat #5
------------------
Up next is n = 7 players
Start of round 1.
Seat #1 eliminates seat #2
Seat #3 eliminates seat #4
Seat #5 eliminates seat #6
Seat #7 eliminates seat #1
End of Round 1
Seats remaining = {seat #3, seat #5, seat #7}
Start of round 2
Seat #3 eliminates seat #5
Seat #7 eliminates seat #3
End of Round 2
Winner = seat #7
------------------
n = 8 players
Start of Round 1
Seat #1 eliminates seat #2
Seat #3 eliminates seat #4
Seat #5 eliminates seat #6
Seat #7 eliminates seat #8
End of Round 1
Seats remaining = {seat #1, seat #3, seat #5, seat #7}
Start of round 2
Seat #1 eliminates seat #3
Seat #5 eliminates seat #7
End of Round 2
Seats remaining = {seat #1, seat #5}
Start of Round 3
Seat #1 eliminates seat #5
End of Round 3
Winner = seat #1
------------------
n = 9 players
Start of Round 1
Seat #1 eliminates seat #2
Seat #3 eliminates seat #4
Seat #5 eliminates seat #6
Seat #7 eliminates seat #8
Seat #9 eliminates seat #1
End of Round 1
Seats remaining = {seat #3, seat #5, seat #7, seat #9}
Start of round 2
Seat #3 eliminates seat #5
Seat #7 eliminates seat #9
End of Round 2
Seats remaining = {seat #3, seat #7}
Start of Round 3
Seat #3 eliminates seat #7
End of Round 3
Winner = seat #3
------------------
n = 10 players
Start of Round 1
Seat #1 eliminates seat #2
Seat #3 eliminates seat #4
Seat #5 eliminates seat #6
Seat #7 eliminates seat #8
Seat #9 eliminates seat #10
End of Round 1
Seats remaining = {seat #1, seat #3, seat #5, seat #7, seat #9}
Start of Round 2
Seat #1 eliminates seat #3
Seat #5 eliminates seat #7
Seat #9 eliminates seat #1
End of Round 2
Seats remaining = {seat #5, seat #9}
Start of Round 3
seat #5 eliminates seat #9
End of Round 3
Winner = seat #5
------------------
n = 11 players
Start of Round 1
Seat #1 eliminates seat #2
Seat #3 eliminates seat #4
Seat #5 eliminates seat #6
Seat #7 eliminates seat #8
Seat #9 eliminates seat #10
Seat #11 eliminates seat #1
End of Round 1
Seats remaining = {seat #3, seat #5, seat #7, seat #9, seat #11}
Start of Round 2
Seat #3 eliminates seat #5
Seat #7 eliminates seat #9
Seat #11 eliminates seat #3
End of Round 2
Seats remaining = {seat #7, seat #11}
Start of Round 3
Seat #7 eliminates seat #11
End of Round 3
Winner = seat #7
------------------
n = 12 players
Start of Round 1
Seat #1 eliminates seat #2
Seat #3 eliminates seat #4
Seat #5 eliminates seat #6
Seat #7 eliminates seat #8
Seat #9 eliminates seat #10
Seat #11 eliminates seat #12
End of Round 1
Seats remaining = {seat #1, seat #3, seat #5, seat #7, seat #9, seat #11}
Start of Round 2
Seat #1 eliminates seat #3
Seat #5 eliminates seat #7
Seat #9 eliminates seat #11
End of Round 2
Seats remaining = {seat #1, seat #5, seat #9}
Start of Round 3
Seat #1 eliminates seat #5
Seat #9 eliminates seat #1
End of Round 3
Winner = seat #9
------------------
Admittedly this is a lot of things to keep track of and it's easy to get lost. Hopefully the process is fairly straight forward even if it requires a lot of drawings.
The chart showing the values of n and the final winners is shown below in the attached image.Each pattern block is color coded to separate the start and stop of each sequence. Note the pattern of {1,3} then {1,3,5} then {1,3,5,7} then {1,3,5,7,9} and so on. The next pattern block would likely be {1,3,5,7,9,11}. This table will help you determine what seat you will want to sit in if you know how many players there are at the start. Of course you won't know ahead of time how many players there are, but when it comes to you picking your seat you can quickly look at the table (either on the paper or just something you memorize) and you can select the ideal seat based on what n is.
Many times does 5 go into 125
Answer:
25 times
Step-by-step explanation:
125÷5 = 25
5 goes into 125 exactly 25 times. This result is obtained by dividing 125 by 5. The answer is 25.
To determine how many times the number 5 goes into 125, we need to perform division:
Set up the division problem: 125 divided by 5.Divide 125 by 5.This means if you divide 125 by 5, the result is 25, showing that 5 fits into 125 exactly 25 times.
when do these 2 lines intersect y = 3x-3, y = 2.3x+4
Set the equations to equal each other:
3x-3 = 2.3x+ 4
Solve:
Subtract 2.3x from both sides
0.7x -3 = 4
Add 3 to both sides:
0.7x = 7
Divide both sides by 0.7
X =10
Solve for y:
Y = 3(10) -3
Y = 30-3
Y=27
The lines cross at (10,27)
Answer:
(10,27)
Step-by-step explanation:
Plot the first point of the first line by plotting the y-intercept of -3, and using the slope of 3 to plot the rest of the points needed (up 3, over 1).
Plot the first point of the second line by plotting the y-intercept of 4, and using the slope of 2.3 (23/10) to plot the rest of the points needed (up 23, over 10).
After a while of graphing, you will then find that the point of location in which these two lines intersect is (10,27).
Hope this helps :) Thanks!
On a coordinate plane, a straight line with a negative slope, labeled f of x, crosses the y-axis at (0, 4), and the x-axis at (4, 0). Which is true regarding the graphed function f(x)?
The graph of function f(x) that crosses the y-axis at (0, 4) and the x-axis at (4, 0) is a straight line with a negative slope, making option a correct.
Explanation:Considering the information given, the graph of the function f(x) intersects the y-axis at (0, 4) and the x-axis at (4, 0). By determining the slope of the line, which is the change in y divided by the change in x (rac{ ext{rise}}{ ext{run}}), we can conclude that the slope is negative because the line goes down as it goes right.
The slope is rac{0 - 4}{4 - 0} = -1.
Therefore, option a, stating it is a straight line with a negative slope, correctly describes the graph of function f(x).
You work at an appliance store. A customer purchases a refrigerator and a dishwasher. Installation charges are $50 for the refrigerator and $100 for the dishwasher. The company is offering a rebate of $20 for each appliance installation. What is the total amount the customer pays for installation after the rebates? $40 $110 $130 $170 $190
The total would be 170 for it all.
Answer:
Step-by-step explanation:
50 + 100 - 2(20) =
150 - 40 =
$ 110 <===
Which of the following is a characteristic of all parallelograms?
A. The diagonals bisect each other.
B. Both pairs of opposite angles are supplementary.
C. The diagonals are congruent.
D. There are 4 congruent sides.
Answer:
A. The diagonals bisect each other.
Answer:
Diagonals bisect each other
Step-by-step explanation:
One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 730, find the numbers.
Answer:
the number 1.46
Step-by-step explanation:
because 5×100×1.46=730
Use math notation to describe the following sequence:
1, -1, 1, -1,...
Answer:
The math notation to the given sequence is [tex]a_n=(-1)^{n+1}[/tex] for n=1,2,3,... is verified and it is true
Step-by-step explanation:
Given sequence is 1,-1,1,-1,...
Let [tex]a_1=-1,a_2=1,a_3=-1,a_4=-1,...[/tex]
To find the math notation for the given sequence :
[tex]a_n=(-1)^{n+1}[/tex] for n=1,2,3,... verify that it is true or not
Put n=1 in the above equation we get
[tex]a_1=(-1)^{1+1}[/tex]
[tex]=(-1)^2[/tex]
Therefore [tex]a_1=1[/tex]
Put n=2 in the [tex]a_n=(-1)^{n+1}[/tex] equation we get
[tex]a_2=(-1)^{2+1}[/tex]
[tex]=(-1)^3[/tex]
Therefore [tex]a_2=-1[/tex]
Put n=3 in the [tex]a_n=(-1)^{n+1}[/tex] equation we get
[tex]a_3=(-1)^{3+1}[/tex]
[tex]=(-1)^4[/tex]
Therefore [tex]a_3=1[/tex]
and so on
Therefore the math notation to the given sequence is [tex]a_n=(-1)^{n+1}[/tex] for n=1,2,3,... is verified and it is true
A truck enters a highway driving 60 miles per hour a car enters the highway at the same place 9 minutes later and drive 68 miles per hour in the same direction from the time the car enters the highway how long will it take the car to pass the truck
The time taken by car to pass the truck is 1.125 hours
Solution:
A truck enters a highway driving 60 miles per hour a car
The car enters the highway at the same place 9 minutes later and drive 68 miles per hour in the same direction from the time the car enters the highway
Let us first convert 9 minutes to hours
[tex]1 \text{ minute } = \frac{1}{60} \text{ hour }[/tex]
[tex]9 \text{ minute } = \frac{9}{60} = \frac{3}{20} \text{ hours }[/tex]
Let the truck covers 'x' m distance in time 't' hour the car will take [t -(3/20)] hour to cover the same distance 'x'
We know that,
[tex]Distance = Speed \times Time[/tex]
For truck : [tex]x = 60t[/tex] ----------- eqn 1
For car: [tex]x = 68 \times (t - \frac{3}{20})[/tex] ------------ eqn 2
From equations (i) and (ii)
[tex]60t = 68 \times(t-\frac{3}{20})\\\\60t = 68t-10.2\\\\68t - 60t = 10.2\\\\8t = 10.2\\\\t = 1.275[/tex]
Thus the time taken by car to pass the truck is:[tex]t - \frac{3}{20} = 1.275 - \frac{3}{20} = 1.275 - 0.15 = 1.125[/tex]
Thus the time taken by car to pass the truck is 1.125 hours
The parade for Martin
Luther King Day went in
square around downtown.
If the band marched 1,872
yards before their first turn
onto Market Street, how
many feet was the entire
parade route?
the answer is 22464, because if they marched 1872 yard for the first side, you can multiply it by 3 because there are 3 feet in one yard. Then you multiply that by 4 because there are 4 sides in a square
A dog pen is 18
feet wide. Its length
is twice the width.
What is the total
perimeter of the
pen?
Answer:
108 ft
Step-by-step explanation:
18x2=36
36+36+18+18=108
Perimeter is the total added amount that surrounds the shape.
The length of the dog pen is twice the width, hence 36 feet. Using the formula for perimeter of a rectangle, the total perimeter of the pen is 108 feet.
Explanation:To calculate the perimeter of a rectangle, we use the formula 2(length + width). Given the width of the dog pen is 18 feet, and the length is twice the width, we first calculate the length: 2 * 18 feet = 36 feet. With that, we can now calculate the perimeter: 2(18 feet + 36 feet) = 2 * 54 feet = 108 feet. Therefore, the total perimeter of the dog pen is 108 feet.
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Four graphs are shown below:
Which graph represents a positive linear association between x and y?
Graph A
Graph B
Graph C
Graph D
Y=6 and x=4 evaluate the expression x+9y
Answer:
58
Step-by-step explanation:
(4)+9(6)
4+54
58
A scientist mixes water (containing no salt) with a solution that contains 35% salt. She wants to obtain 245 ounces of a mixture that is 15% salt. How many ounces of water and how many ounces of the 35% salt solution should she use?
Answer:
140 ounces of water and 105 ounces of 35% salt solution.
Explanation:
Let [tex]x[/tex] be the ounces of water that need to be added and [tex]y[/tex] be the ounces of 35% solution that need to to be added.
We know that the total of ounces of water and of 35% solution must be 245 ounces:
[tex]x+y=245[/tex]
35% of [tex]x[/tex] is the salt, and since no salt is added with addition of [tex]y[/tex] liters of water, this must be equal to the amount of salt in the final 15% solution:
[tex]0.35x=0.15*245[/tex]
we solve for [tex]x[/tex] and get:
[tex]x=105[/tex]
We put this value into [tex]x+y=245[/tex] and solve for [tex]y[/tex] to get:
[tex]y=140[/tex]
Thus we have 140 ounces of water and 105 ounces of 35% solution.
To obtain a 245-ounce mixture at 15% salt concentration, the scientist needs to mix 140 ounces of water with 105 ounces of 35% salt solution by solving a system of equations that involves the total mass of the solution and the mass of the salt in the mixture.
Explanation:The student is asking for help with a mixing solution problem in algebra where they need to combine water with a 35% salt solution to create a final mixture that has a 15% salt concentration. To solve this problem, two key equations must be set up based on the mixture's total mass and the mass of the salt within the mixture. The student wants 245 ounces of the final mixture.
Let's denote X as the number of ounces of water (0% salt) and Y as the number of ounces of the 35% salt solution. The first equation is based on the total mass of the final solution: X + Y = 245. The second equation is based on the mass of the salt in the solution: 0*X + 0.35*Y = 0.15*245.
Now, we solve the system of equations. The second equation simplifies to 0.35Y = 36.75. Dividing both sides by 0.35 gives Y = 105 ounces. Substituting Y into the first equation gives X = 140 ounces. Therefore, the scientist needs to mix 140 ounces of water with 105 ounces of the 35% salt solution to achieve the desired concentration.
Simplify 24÷(-2)(3)+7
3
-29
11
Hiya
Make sure you know the Order of Operations, or PEMDAS.
PEMDAS:
Parentheses
Exponents
Multiplication
Division
Addition
Subtraction
When simplifying, you need to do it in this order. However, with multiplication and division, you do it whichever comes first. If it's 24 times 3 divided by 4, you do multiplication first because it came first in the problem. Then you divide by 4.
The same thing with addition and subtraction. For example, 2 + 4 + 8 - 11, you need to add 2+4+8 first because addition came first before subtraction.
If you don't understand feel free to reply with questions about it.
ALSO: If numbers are written together like (-2)(3), this means they are being multiplied.
Okay so let's solve this equation now.
Looking at PEMDAS, the first step would be to multiply or divide. Seeing that division comes first, do 24 divided by -2.
24 ÷ -2 = -12 (Remember that positive divided by a negative or the other way around will always result in a negative. Same with multiplying)
Now we have: -12(3)+7
Next step is multiplication so -12*3=-36
Now we have -36 + 7.
Adding a negative is the same as subtracting a positive so you can re-write this as 7- 36. Well, 36 - 7 is 29, so 7 - 36 = -29.
So, the answer is -29