Answer:
1
y = 0
x = 2
Step-by-step explanation:
The first thing we want to do to solve a system of equations is to solve one of them in terms of a single variable.
Lets start with x - y = 2
If we add y to both sides we get: x = 2 + y
Now to solve the system of equations we can substitute that value for x into the other equation. In any system of equations a solution for one must be a solution for the other as well.
ay - ax + 2a = 0
When we substitute our value of x into this equation and get the folowing:
ay - a(2 + y) +2a = 0
ay -2a - ay + 2a = 0
All of the terms cancel out on the left side leaving us with:
0 = 0
This means that the only way this system can be solved is if y is equal to 0.
Going back to the first equation x - y = 2
x - 0 = 2 so x = 2
This is the only solution to that system of equations, which means it forms a point instead of a line.
please help!!! I need this and I also don't understand
Answer:
ABGE is a parallelogram because it has congruent sides
Step-by-step explanation:
:-)
jenny has $25 and she earns $10 for each lawn that she mows. jenny wants to buy a concert ticket that costs $65
enter the minimum number of lawns jenny needs to mow to be able to buy the concert ticket
What is the area of the shaded region?
36 m
20 m
36 m
20 m
Answer:
896 meters sq
Step-by-step explanation:
Step 1. Find the area of each square
Big square: 36 x 36 = 1296
Small square: 20 x 20 = 400
Step 2. Find the area of the shaded region only
big square A - small square A = ONLY shaded region area
1296 - 400 = A
896 [tex]m^{2}[/tex] = A
I hope this helps!
Suppose a city with population 300,000 has been growing at a rate of 8% per year. If this rate continues, find the population of this city in 10 years.
Find the area of the figure.
8 ft
10 ft
O a
Ob
80.0.42
105.1.12
50.3.12
25.3.12
С
8 .
d
Answer:
b because you add the 8 by 2 because 10 is too long and 8 is perfect size
PLEASE HELP! PLEASE HELP! I NEED TO GET THIS RIGHT! PLEASE ANSWER FULLY!
Answer:
15 mph
Step-by-step explanation:
Please help, i will mark as brainliest
it is given that the volume of the paint, x litres, varies directly as the area of the wall, d m². if 3 litres of paints can paint 36 m² of wall, calculate the volume of the paint in litres, needed to paint a wall of 9 m in height and 5 m in width.
Answer:
3.75 L
Step-by-step explanation:
3 liters / 36 m^2 = x liters / 9 x 5 m^2
3 liters / 36 m^2 = x liters / 45 m^2
(45)(3) = (x)(36)
(135) = (x)(36)
x = (135)/(36)
x= 3.75 L
If the coordinates for C' are (4.5, 4.5), which rule best represents the dilation that was applied to rectangle ABCD to create rectangle A'B'C'D'?
The dilation of rectangle ABCD to create rectangle A'B'C'D' would change the size of the rectangle
The dilation rule is: (x,y) -> k(x,y)
How to determine the rule of dilation?The coordinates of C' is given as:
C' = (4.5, 4.5)
The coordinate of point C is not given.
So, I will apply a general rule
The general rule of dilation is:
(x,y) -> k(x,y)
Where k represents the scale factor.
Assume that k = 3, the the rule would be
(x,y) -> 3(x,y)
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Alex is putting 7 pounds of strawberries in containers. Each container holds 1/3 of a pound. How many containers will he use?
5th grade question
Please answer as soon as u see
Answer:
21
Step-by-step explanation:
7 x 3 is 21 you carry the 21 down 21/3=7
There you go!
Rectangles T and U are similar. If the area of rectangle T is 40, what is the area of
rectangle U?
10
4.5
Rectangle
T
Rectangle
U
Area = 40
Answer:
Area = 18
Step-by-step explanation:
Since the triangles are similar, we can set up a proportion of 10/4.5 = 40/x. The sides on top, with length 10 and 4.5, are similar. This ratio can then be applied to the areas, with the area of rectangle T in the numerator and the area of rectangle U in the denominator, giving us 40/x. To solve for x, we can multiply 40 by 4.5 and then divide the product by 10. This gives us 18, the area of rectangle U.
A spinner has 12 equal-sized sections. Nine of the sections are red. a. What is the probability that the spinner will land on red? b. Use words to describe the probability. a. out of 12, or /4 or _% .
Answer:
9out of 12, 3/4, 75%
Step-by-step explanation:
Red makes up 3 quarters of the spinner, or 9 parts out of 12.
A car dealership sells cars that were made in 2015 through 2020. Let the cars for sale be the domain of a relation R where two cars are related if they were made in the same year. (a) Prove that this relation is an equivalence relation. (b) Describe the partition defined by the equivalence classes.
The given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.
How is the equivalence relation depicted?Let the domain of the relation is car(x) belongs to 2015 , 2016, 2017, 2018, 2019, 2020
To prove equivalence relation, we need to prove reflexive, symmetric, transitive properties.
Reflexive relation: x is related to x
Here car(x) is made in 2015, so, car(x)) is in R where R is reflexive relation.
Symmetric relation: x is related to y implies y is related to x
Here (car(x) , car(y)) is in R , i.e car(x) and car(y) are made in same year. R obeys symmetric property
Transitive property: x is related to y and y is related to z then x is related to z. Here (car(x),car(y)), (car(y), car(z)) is in R. Therefore (car(x) , car(z)) is in R
Therefore, the given relation obeys reflexive, symmetric, and transitive properties, therefore, it is in relation to equivalence relation.
B. The cars which are made in the same year are in one equivalence class all cars are made in overall 6 years. We get 6 equivalence classes. These classes are partitions, so we have six partitions
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You MUST show your working out!
Answer:
100.32
Step-by-step explanation:
First, we have to find 14% of 88
14% of 88 is = 88 x 14/100
= 12.32
Now we have to increase the number 88 by 14%, which means we have to add 14% of 88 (12.32) to the given number (88)
88 + (14% of 88)
= 88 + 12.32
=100.32
12. In a poll taken in March of 2007, Gallup asked 1006 national adults whether they were
baseball fans. 36% said they were. A year previously 37% of a smaller sample had
reported being baseball fans.
a. Find and interpret a 90% confidence interval for the 2007 poll.
b. Would the margin of error be larger or smaller for a 99% confidence interval?
C. Find and interpret a 98% confidence interval.
The margin of error of the 90% confidence interval will be 0.024 and it increases when there's a higher confidence interval.
How to calculate the confidence interval?The margin of error of the 99% confidence interval will be:
= 1.645 × [✓0.36(1 - 0.36)/1006
= 0.024
The margin of error for a 99% confidence interval will be calculated thus:
= 2.576 × [✓0.36(1 - 0.36)/1006
= 0.03898
This implies that margin error increases when there's a higher confidence interval.
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What is the slope of the line in this graph? please help urgent
Answer:
(b) 5/7
Step-by-step explanation:
When determining slope from a graph, it is convenient to locate points on the graph where it crosses grid lines. This graph crosses the origin, and the point (7, 5). The slope is found by counting grid squares or by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (5 -0) /(7 -0) = 5/7 . . . . . . . . . using points (0, 0) and (7, 5)
The slope of the line is 5/7.
The scale of a model train is 1 inch to 16.48 feet. One of the cars of the model train is $6$ inches long. What is the length, in feet, of the actual train car? Round to the nearest whole number.
Answer:
The scale of a model train is 1 inch to 13.5 feet. One of the cars of the model train is 5 inches long. What is the length, in feet, of the actual train car?
Algebra
Step-by-step explanation:
Wayne designed the table shown below for an x-ray room. He wants to cover the shaded rectangular surfaces of the table, marked A, B and C, with a sheet of soft foam padding.
What is the total area of the 3 rectangular surfaces to be covered with foam padding?
The total surface area of surface 3 rectangular surfaces to be covered with foam padding is 36 ft²
What is an area?The area is the amount of space occupied by a two dimensional shape or object.
Area of rectangle = length * width
Area of surface A = 1 ft * 4.5 ft = 4.5 ft²
Area of surface B = 0.5 ft * 4.5 ft = 2.25 ft²
Area of surface C = 6.5 ft * 4.5 ft = 29.25 ft²
Total area = 29.25 + 2.25 + 4.5 = 36 ft²
The total surface area of surface 3 rectangular surfaces to be covered with foam padding is 36 ft²
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how do i find out decimal parts of money?
Answer:
A dollar is a whole amount and is written to the left of the decimal.
...
In 1 dollar there are 100 cents and we write them after a period:
1 cent of a dollar is written $0.01.
10 cents of a dollar is written $0.10.
1 dollar and 1 cent is written $1.01.
1 dollar and 10 cents is written $1.10.
Money Is a Special Decimal
All money is a decimal value with two places. You will see examples including $1.25, $65.98, and $26.34. No matter how big the value gets, you can only have two decimal places. One cent is 0.01.
A robot can complete 7 tasks in 2/3
hour. What is the unit rate for hours per task
Answer:
2/21 hours per task.
Step-by-step explanation:
2/3 / 7 hours per task
= 2/21.
i dont understand any of this please help
Answer:
92%
Step-by-step explanation:
To convert a fraction to a percent, you can divide the numerator by the denominator to end up with a decimal, in this case 0.92. Then, to convert to a percent, move the decimal two places to the left. As a result, we have 92%.
hope this helps!
Jon owns a clothing store where he designs pairs of shorts, s, and T-shirts, t.
He sells shorts for $14 and T-shirts for $6 each. Jon can work 12 hours a day,
at most. It takes him 15 minutes to design a T-shirt and an hour to design a
pair of shorts. He must design at least 12 items each day, but he cannot
design more than 20 items in one day. Which set of inequalities below
represents this scenario?
A. S 2 12-tss 20 - ts 12 -0.25t, s 2 0; t2 0
B. s2 12-t, ss 20-t, ss 12 -0.25t, s 0;t20
O C. s2 12-t s2 20-t ss 12 -0.25t, s 2 0;t2 0
D. s2 12+ tss 20 + tss 12 -0.25t, s 0,20
Answer:
The correct option is;
B. s ≥ 12 - t, s ≤ 30 - t, s ≤ 24 - 0.66·t
Step-by-step explanation:
The set of inequalities below represents this scenario s ≥ 12 - t,
s ≤ 30 - t, s ≤ 24 - 0.66·t
We have given that,
at most. It takes him 15 minutes to design a T-shirt and an hour to design a pair of shorts. He must design at least 12 items each day, but he cannot design more than 20 items in one day.
What is inequality?
A statement of an order relationship greater than, greater than or equal to, less than, or less than or equal to between two numbers or algebraic expressions.
lets t=times
s=shorts
We have to determine the correct inequality so that we will get,
The correct option is;
s ≥ 12 - t,
s ≤ 30 - t,
s ≤ 24 - 0.66·t
Therefore option B is correct.
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What is the prime factorization of 42?
I think it would be 2x3x7.
Answer:
2 x 3 x 7
Step-by-step explanation:
How to find Prime Factorization of 42? Prime factorization of a number is breaking that number down into the set of prime numbers which multiplied together is equal to the original number So great job you already knew the answer
Answer:
I think it is 2 x 3 x 7. 2 x 3 x 7 = 42 2 x 3 x 7
Step-by-step explanation:
2 x 3 x 7. 2 x 3 x 7 = 42 2 x 3 x 7 = 42 hope this helps if not please let me know
Consider these scenarios.
1. An elephant weighs 1.5 × 104 units.
2. A mouse weighs 2.13 × 10-5 units.
3. A puppy weighs 1.2 × 102 units.
Determine the unit of measurement that best represents each scenario.
1.
2.
3.
1. Pounds
2. Tons
3. Ounces
You guys have a good day :)
Answer:
1.pounds
2.tons
3.ounces
Step-by-step explanation:
just got it right on edge
Which graph represents the solution set of this inequality?
- 11 - 20 > 1
Choose 1 answer:
-10-9-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5
-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
-10-9-8-7-6 -5 -4 -3 -2 -1 0 1 2 3 4 5
Help me
Answer:
It's C
Step-by-step explanation:
-11-2d is greater of equal to 1
add 11 to both sides to get
-2d is greater of equal to 12
divide -2 to both sides which flips the greater than sign to less than
getting d is less than or equal to -6
2x² + 3x - 1 =0 by make quadratic equation
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
1/2
What percent of the utterances in the sample need to be 1 word in length in order to use Nelson's or Bloom's One-Word Utterance Analyses
The percent of the utterances in the sample need to be 1 word in length is 13.3%.
How to calculate the percentage?Your information is incomplete. Therefore, an overview will be given. Let's assume that the number if 1 word is 12 and the total number of words given is 90.
Therefore, the percentage will be:
= 1 word/Total words × 100
= 12/90 × 100.
= 13.3%
In conclusion, the percentage is 13.3%.
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Please help me this is hard and its due today!
Answer: A, C and E.
Step-by-step explanation: They all equal to 5.
Ted makes an hour delivering pizzas. if he gets a 5% raise, how much will he make delivering pizzas for 4 hours?
The amount Ted would make from delivering pizzas for 4 hours would be $42.
How much would Ted make?The first step is to determine the increase in Ted's income after the raise: (1.05) x $10 = $10.50
The second step is to determine the total income for 4 hours of work: 10.50 x 4 = $42
Here is the complete question:Ted makes n$10 hour delivering pizzas. if he gets a 5% raise, how much will he make delivering pizzas for 4 hours?
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Part A
Which angles are congruent to ∠5 ? Select all that apply.
∠1
∠2
∠3
∠4
∠6
∠7
Part B
I m∠6 = 85° what is the measure of ∠3?
m∠3 =
°
Which expression should you simplify to find the 90% confidence interval,
given a sample of 65 people with a sample proportion of 0.42?
O A. 0.42
1.645-0.42
165
OB. 0.42 65
0.42(1–0.42
1.645
O c. 0.42 +1.645.
0.42(1-0.42)
65
O D. 0.42 +1.645.
V0.42(1–0.42)
65
Answer:
i think is would be D
hope that helps if not i can change it
Step-by-step explanation:
