Answer: The point slope form of the equation for this line is given by
[tex]y-8=-(x+3)[/tex]
Step-by-step explanation:
Since we have given that
The slope intercept form of the equation of a line is given by
[tex]y=-x+6-------------------(1)[/tex]
Line passing through a point is given by
(-3,8)
So, from the equation (1), we get that
m = Slope of line = -1
So, Point slope form of the equation of the line is given by
[tex]y-y_0=m(x-x_0)\\\\(y-8)=-1(x+3)\\\\y-8=-(x+3)[/tex]
Hence, the point slope form of the equation for this line is given by
[tex]y-8=-(x+3)[/tex]
Name the property illustrated by the statement:
If d+1=f, then d=f-1 .
It's a property of equality, but I'm not sure which one. Please explain which one it is and why it's that one. Thanks! :-)
Answer:
subtraction property of equality.
Step-by-step explanation:
IF any number is added on both sides of equation then it is addition property of equality.
If any number is subtracted from both sides of the equation then it is subtraction property of equality.
If d+1=f, then d=f-1 .
[tex]d+1=f[/tex]
To get 'd' alone , 1 is subtract from both sides
[tex]d=f-1[/tex]
1 is subtract from both sides of the given equation.
So it subtraction property of equality.
Senator Sano put 0.3 tsp of chocolate syrup in his milk. He tasted it and decided he needed more, so he mixed in 1.64 tsp more. How much chocolate syrup is in his milk? I think it's 4.92.
[Statistics and Probability] How to find if something is mutually exclusive given a sample space?
To find if events A and B are mutually exclusive given a sample space, check if they can occur at the same time. If P(A AND B) = 0, they are mutually exclusive. If they share common outcomes, they are not mutually exclusive.
To determine if two events in a sample space are mutually exclusive, you need to evaluate if the two events can occur simultaneously. If two events, A and B, are mutually exclusive, this means that they cannot happen at the same time, and therefore the probability of A AND B occurring together, denoted as P(A AND B), is zero.
Find the sum.
− 5/8 + 3/4
Answer choices:
A. - 1 1/8
B. - 7/8
C. - 5/8
D. - 1/8
E. 1/8
F. 3/4
G. 1 1/2
In a lab, a 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratio of the amount of the 30% solution to the amount of 5% solution used to create the 10% solution?
1:3
1:4
1:5
1:6
1:4 is the answer to the question.
Answer:
Option B. 1 : 4.
Step-by-step explanation:
In a lab 30% acid solution and 5% acid solution were mixed to prepare 10% acid solution.
We have to calculate the ratio of both the acids should be mixed to prepare 10% acid solution.
Let the volume of 30% solution was used = x ml
and the volume of 5% acid was used = y ml
Therefore the equation will form as
30%.x + 5%.y = 10%.(x + y)
0.30x + 0.05y = 0.10(x + y)
Now we transfer the similar terms in one side of the equation.
0.30x - 0.10x = 0.10y - 0.05y
0.20x = .05y
[tex]\frac{x}{y}= \frac{.05}{0.20}[/tex]
x : y :: 1 : 4
Therefore solutions will be mixed in a ratio of 1 : 4
Option B. 1 : 4 is the right answer.
What is the awenser of 1/3 divided by 1/4
Town A has 14,700 residents and covers 42 square miles. Town B has 58,000 residents and covers 116 square miles. Which comparison is accurate?
Answer:
It is B the second option
Step-by-step explanation:
I got it right on edge 2021 :) I hope it is right and I hope you have a great day :D
Evaluating expressions.
3. When she was 2 months old. Fiona weighed 101 pounds. She gained x pounds over the next week. Write an expression to find Fiona's new weight.
B. Evaluate the expression Fiona gained 12 lbs. during that week
4. Fiona's parents Henry and bibs, each produce p pounds of poop every day. Write an expression to find how much waste is produced in d days by the 2 hippos
B. Evaluate the expression Henry and bibi each produce 44 pounds of poop daily. How much do they create in 14 days?
6x10 to the power of zero
A bus makes a stop at 2:30, letting off 14 people and letting on 5. The bus makes another stop ten minutes later to let off 4 more people. How does the number of people on the bus after the second stop compare to the number of people on the bus before the 2:30 stop?
What is 5.43+2.67 equal using front end estimation
The perimeter of a rectangle is 24 feet. The length is 3 feet less than twice the width. Which of the following systems would be used to solve this problem ???
The system of equations are 24 = 2(l + w) and l = 2w - 3 option third is correct.
What is the area of the rectangle?It is defined as the area occupied by the rectangle in two-dimensional planner geometry.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
Let l be the length and w be the width of the rectangle
By the formula of perimeter:
24 = 2(l + w)
l = 2w - 3 (The length is 3 feet less than twice the width)
The system of equations:
24 = 2(l + w)
l = 2w - 3
Thus, the system of equations are 24 = 2(l + w) and l = 2w - 3 option third is correct.
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A park district has 25 elm trees and 20 oak trees to be planted.They are separating the trees for different areas.They want each area to have the same number of elm trees and the same number of oak trees. What is the greatest number of areas that can be created?
Answer: There are 5 number of areas that can be created.
Step-by-step explanation:
Since we have given that
Number of elm trees = 25
Number of oak trees = 20
According to question, They want each area to have the same number of elm trees and the same number of oak trees.
So, the greatest number of areas that can be created is H.C.F. of 25 and 20 = 5.
Hence, there are 5 number of areas that can be created.
Negative three fourths plus negtive one half
The distance driven in miles is proportional to the time driven in hours. Ebony drives at a constant rate and plots her progress on a coordinate plane. The point (3, 180) is plotted. At what rate is Ebony driving in miles per hour?
Answer:
the answe is 60 on usapreptest
Step-by-step explanation:
The rate at which Ebony driving is 60 miles per hour.
The given coordinate point is (3, 180).
Average rate is a measure of how much the function changed per unit, on average, over that interval.
Here, 180/3 = 60 miles per hour
Therefore, the rate at which Ebony driving is 60 miles per hour.
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The verbal expression of 1/8y
Can anyone help me with this kinda stuck
Can someone plz help me with this math problem.
Cupcakes are packed 6 to a box. If Abby only buys full boxes of cupcakes give two possible numbers of cupcakes that she could buy.
Answer:
The two possible numbers of cupcakes that she could buy can be 6,12,18 etc.
Step-by-step explanation:
As given:
Cupcakes are packed 6 to a box.
Abby only buys full boxes of cupcakes.
So, basically if she only wants full boxes, then she must get cupcakes in multiples of 6. Like : 6,12,18,24....
Therefore, any number that is a multiple of six is acceptable here.
A recipe calls for 2 1/2 cups of sugar. You have 2 1/3 cups of sugar. Do you have enough sugar? If not, how much more sugar is needed? Explain your answer
what is 74.06 as mixed number?
how is the subtraction of integers related to the addition of integers?
If the probability of rain is 0.87, what is the probability of NO rain?
Figure ABCD is a parallelogram with point C (3, −2). Figure ABCD is rotated 90° counterclockwise to form figure A′B′C′D′. What coordinate would be the output for point C'?
Answer: (2,3) C’
Step-by-step explanation:
I took the test and got it right
The graph shows the cost of purchasing T-shirts. Find the constant rate of change for the graph. Then explain what points (0,0) and (1,9) represent
Answer:
Constant rate of change is 9
Step-by-step explanation:
To find the constant rage of change we pick 2 points from the graph
points (0,0) and (1,9)
Rate of change is the slope
[tex]slope =\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]slope =\frac{9-0}{1-0}=9[/tex]
Slope = 9/1
Constant rate of change is 9
points (0,0) and (1,9) represent 9 units up from (0,0) and 1 units the right
What are the common factors of 12 and 24?
Emily collected this data about the number of miles she ran each day for ten days. She wants to keep track of the distance she runs each day. Which graph will give Emily the most accurate information? Day Number of Miles Run Day Number of Miles Run Monday 10 Saturday 5 Tuesday 14 Sunday 5 Wednesday 5 Monday 15 Thursday none Tuesday none Friday 10 Wednesday 5 A. B. C.
Which of the following isn’t true?
peter bought 6 mangoes at $x each. He also bought a papaya for $5. Express the total cost of the fruits in terms of x.
What times what equals 19