Answers
Step-by-step explanation:
[tex]y = ax + b \\ a = \frac{y1 - y2}{x1 - x2} = 3 \\ y = 3x - 1 \\ y = (3 \times 4) - 1 = 11 = k[/tex]
Related Questions
Petra is shopping with 2 of her friends. She buys a note book and six identical pencils. The note book costs the same as 2 of the pencils. Her bill is £16.80. How much does a note book cost?
Answers
Answer: £4.20
Each 2 of pencils is £4.20 multiply that by 3 your get 12.60, the notebook is the same price of 2 pencils so that must mean it is £4.20
4.20 x 4 = 16.80
3 £4.2 from the 6 pencils
and 1 £4.2 from the notebook
Hope this helps!
The required cost of a notebook would be an amount of £4.20.
What is the equation?The equation is defined as mathematical assertions that have a minimum of two terms containing variables or numbers that are equal.
Let's assume that n is the cost of a notebook, p is the cost of a pencil, and b is the total bill.
We know that the notebook costs the same as two pencils, so we can write this as an equation:
n = 2 × p
We also know that Petra's bill is £16.80, so we can write this as an equation:
b = n + 6 × p
Substituting the first equation into the second equation, we get:
b = n + 6 × p
b = (2 × p) + 6 × p
b = 8 × p
We can now solve for p by dividing both sides of the equation by 8:
p = b / 8
p = £16.80 / 8
p = £2.10
Since the notebook costs the same as two pencils, we can now solve for n by substituting the value of p into the first equation:
n = 2 × p
n = 2 × £2.10
n = £4.20
Therefore, the cost of a notebook is £4.20.
To learn more about the equations click here:
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A point lies on AB¯¯¯¯¯ and is located 3/7 the distance from A to B. What are the coordinates of the point? (4, 3) (7, 3) (9, 3) (12, 3)
Answers
Answer:
(4,3)
Step-by-step explanation:
This doesn't even take any math really, just deductive reasoning :)
We know the line segment stretches from one to 15, meaning there are 14 points on the line as there is (1,2,3, etc.)
14/2 obviously equals 7, so just plug it in from there.
12 is too far up on the line to be less than half, so (12, 3) is wrong
^ this goes for (9, 3) as well
7 is literally the halfway marker, so there is no way it could be (7, 3)
Making the answer (4, 3) because not only is it the last one remaining but it makes the most sense, being less than one half of the segment
In the bottom question what does X= to?
Answers
Answer:
The value of x is 29°...
When an angle is bisected, it is cut in half. We can assume that m<BAR = m<CAB and we know that m<CAR = m<CAB + m<BAR
88 = 2x - 14 + 2x - 14
Combine like terms
88 = 4x - 28
Add 28 to both sides
116 = 4x
Divide both sides by 4
29 = x
A basketball player averages 12.5 points per game. There are 24 games in a season. At this rate, how many points would the player score in an entire season?
Answers
Answer:
300
Step-by-step explanation:
hope this helps
Sarah has $400 in a savings account at the beginning of the summer. She wants to have more than $150 left in her account by the end of the summer. She withdraws $25 per week. How many weeks can she withdraw money from her account and still make her goal? Write an inequality to express the situation
Answers
Answer:
10 weeks; x >= $150
Step-by-step explanation:
400 - 150 = 250
She can only withdraw up to 250.
250 = 25w
250/25 = w
10 = w
10 weeks
Can someone please help me?
Answers
Answer:
no
Step-by-step explanation:
u r a n00b hahahahahahahahahahahahahaahahhaahahahahahahahahahahahahahahahahahahhahahau suk balz hhahahahahahahahahahahahahahaha
Find the distance between points P(5, 1) and 2(3, 4) to the nearest tenth.
Answers
Answer:
using distance formula =√(5-3)sq+(1-4)sq
=√4+9
=√13
Step-by-step explanation:
A rectangular room is 11 feet by 18 feet. The ceilings are 10 feet high. If a gallon of paint covers 250 square feet. How many gallons of paint are needed to paint the room?
Answers
Answer:
2.32 gallons of paint
Step-by-step explanation:
First, find the area of all 4 sides of the room, with the equation A = lw
11(10)
= 110 (for 2 of the walls)
18(10)
= 180 (for the other 2 walls)
Add these up:
110 + 110 + 180 + 180
= 580
Then, divide this by 250:
580/250
= 2.32
So, 2.32 gallons of paint will be needed to paint the room.
Identify the pattern for the following sequence. Find the next three terms in the sequence.
-1, 3,-9, 27,
a. Multiply by 3; 81, 243, 729
b. Multiply by -3; -81, 243, -729
C. Multiply by -3; 81, 243, 729
d. Multiply by 3; -81, -243, -729
Answers
-9/3= -3, which means that each number is getting multiples by -3. Therefore, we can eliminate A and D. 27•-3=-81, so we can eliminate C. We are left with B, and we can check this by making sure that each number is correctly multiplied by -3.
Answer:
answer is b
Step-by-step explanation:
Write 5.12 x 10⁵ in standard form.
MATH
Answers
10^5 = 100,000
5.12 × 10^5 in standard form = 5.12 × 100,000 = 512000
Answer: 512,000Answer:
10^5 = 100,000
5.12 × 10^5 in standard form = 5.12 × 100,000 = 512000
Answer: 512,000
Step-by-step explanation:
What is N equal to? I think I know I want to make sure tho :/
Answers
Answer:
n = 5/7 or 0.7
Step-by-step explanation:
The goal is to isolate the variable N. First, you distribute the fractions to their repsective parentheses.
1/2(5n + 8) = 3/4(12 - 6n)
2.5n + 4 = 9 - 4.5n
2.5n + 4.5n = 9 - 4
7n = 5
Divide both sides by 7, and you get n = 5/7 or 0.7
ASAP
Water flowed out of a tank at steady rate. A total of 18 1/2 gallons flowed out of a tank in 4 1/4 hours. Which expression determines the the quality of water leaving the tank per hour?
O 17/4 divide 36/2
O 36/2 divide 17/4
O 17/4 divide 37/2
O 37/2 divide 17/4
Answers
Answer: In 1 hour water flowed out = 74/17 gallons
Step-by-step explanation:
Given as ,
The quantity of water flowed out of tank = 18 1/2 gallons
= 37/2 gallons
The time spend in flowing water out of tank = 4 1/4 hours
= 17/4 hours
∵ In 17/4 hours , water flowed out = 37/2
∴ In 1 hours , water flowed out =
So, in 1 hour water flowed out = 37*4/17*2 gallons Answer
Answer:
total galloons flowed=18 1/2=36/2
time that it flowed=4 1/4=16/4
rate=total galloons flowed/time to flow
rate=36/2÷16/4
=9/2gallons per hour
4.5gallons per hour
Which has a larger value: 4 x 10^2 or 7 x 10^4?
Answers
Answer:
7 x 10^4
Step-by-step explanation:
4 x 10^2 equals to 400, when 7 x 10^4 equals to 70,000
Answer:
[tex]7[/tex]× [tex]10^{4}[/tex]
Step-by-step explanation:
Because the exponent means that the number is being multiplied by itself that many times. Like [tex]10^{4}[/tex] means 10000 and that times 7 is 70000.
[tex]10^{2}[/tex] would be 100 and 100 times 4 is 400. Now to determine is 400 or 70000 larger? 70000 is larger.
Hope that helps and have a great day!
Gina has 2/3 pounds of apples. Jane has 3/5 pound of apples. Gina and Jane want to combine their apples to make an apple pie. The recipe calls for 1 1/2 pounds of apples. How many pounds of apples do they need for their pie? Show all work.
Answers
Answer:
Step-by-step explanation:
1. 3x5=15
2. 2x5=10 and 3x3=9
3 10/15 + 9/15= 19/15 or 1 and .3 so they need approx .2 more pounds
what is the answer to 1/4 - 2/5
Answers
Answer:
0.15
Step-by-step explanation:
longerrrrrrrrrrrrr
Which Angel number supplementary to angel to AED
Answers
Answer:
Angle number 5
Step-by-step explanation:
The sum of supplementary angles equal 180°.
Angle AED, in the diagram given is labelled angle 4.
The angle labelled 4 forms a linear pair with the angle labelled 5.
Since a linear pair of angles = 180°, therefore:
m<AED + m<AEI = 180°.
That is:
m<4 + m<5 = 180°.
Both angles are supplementary.
Therefore, angle number 5 is supplementary to angle AED.
53, -82, 103, -7, 22, 0 in ascending order
Answers
Answer:
-82, -7, 0, 22, 53, 103
Step-by-step explanation:
smaller to bigger
What is the domain and range of It’s
h(x)= -1/2(x-4)^2 +3
Answers
Answer:
Domain: [ − 3 ,∞ )
Range: ( − ∞ , 0 ]
Step-by-step explanation:
h ( x ) = − √ x + 3
the domain:
x +3 ≥ 0 x ≥ − 3
in interval form:
[ − 3 , ∞ )
the range:
lowest possible value under the square root sign is zero, thus:
y ≤ 0
in the interval form:
( − ∞ , 0 ]
What is the value of x?
Answers
Answer:
98 degrees
Step-by-step explanation:
First, find the value of the other angle of the triangle.
180-53-45 = 82
Then, subtract from 180 to find x. We do this because they both lie on the same line.
180 - 82 = 98
Write this series in sigma notation: 5+9+13+17+21+ 25 + 29+ 33.
Answers
Answer:
5+9+13+17+21+25+29+33= 152
Answer:
5+9+13+17+21+25+29+33=148
What is the midpoint of AB, with endpoints A(3,2) and B (8,14)
Answers
Answer:
Step-by-step explanation:
(3 + 8)/2= 11/2
(2 + 14)/2= 16/2= 8
(11/2, 8) the midpoint
I NEED HELP 11POINTS
Casey has a small business making and selling dessert baskets. She estimates that her
fixed weekly costs to bake the items is $100. She sells each dessert basket for $12.
How much would her monthly profit be for x amount of dessert baskets?
Answers
Answer:
500=2.5x+200
x=the amount of desserts.
500-200=2.5x
300=2.5x
x=120
Step-by-step explanation:
i need a step by step explanation of how to solve this
Answers
Answer: x = 6
Step-by-step explanation:
Subtract 8 on both sides. The new equation should be -2x = -3x + 6.Now, add 3x on both sides. It should give you x = 6.Using your equation if the number of square feet is 2400, what is the price of the house? If algebraic work is not shown, describe how you found your answer. How well does this fit with the actual data?
Answers
Answer:
Step-by-step explanation:
Need help. Not understanding
factorise 4a + 8b - 24
Answers
Answer: 4(a+2b−6)
Hope this helps!
The picture gives information about a car traveling at a constant speed.
Which choice shows the car's speed between checkpoints A and B, expressed as a
unit rate?
Checkpoint A
Checkpoint B
Time 100 pm
Time: 2:30 pm
Total Mies Driver 120
Total Miles Daven 195
Answers
Answer:
Step-by-step explanation:
Answer
Answer:
50 miles per hour is the (Unit Rate)
Step-by-step explanation:
f(x)=3x-2 for D={2,3,4}
Answers
Read the paragraph from The Hot Zone.
Just then, he noticed a blur of motion on his left, and he turned and saw two Hazleton workers walking toward him. They weren't supposed to be in here! The area was supposed to be sealed off, but they had come in by another route that led through a storeroom. They wore respirators, but nothing covered their eyes. When they saw the two men in space suits, they froze, speechless. Jerry could not see their mouths, but he could see their eyes, wide with astonishment. It was as if they had suddenly discovered that they were standing on the moon.
What is the author’s main purpose for including this paragraph?
to inform readers about the location of the scene that is unfolding
to explain to readers that being a scientist can be exciting work
to entertain readers by illustrating how dramatic the situation is
to reassure readers that the situation was completely under control
Answers
Answer:
c
Step-by-step explanation:
to entertain readers by illustrating how dramatic the situation is
The purpose of the author will be C. entertain readers by illustrating how dramatic the situation is.
It should be noted that a theme simply means the main idea that's conveyed in a literary work. It's simply what the author wants the readers to know.
In this case, the author’s main purpose for including this paragraph is to entertain readers by illustrating how dramatic the situation is.
Learn more about excerpts on:
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-3(4a + 3) + 4(6x + 1) = 43
Answers
Answer:
-3(4a+3)+4(6x+1)
12a+(-9)+24x+5
12a-4+24x
Step-by-step explanation:
Because you can't add 12a & 24x bc they're different variables ( a & x ) & -9+5 you always minus it and it's going to be a negative because -9 is bigger than 5
Every line segment has a length ?
Answers
Answer:
A line segment has two endpoints. A line has no end point. A line-segment has a definite length. But a line does not have definite length.
Step-by-step explanation: