Answer:
a) (1, 2) not on the graph.
b) (1, -1) is on the graph.
Step-by-step explanation:
Given the equation of the line as:
[tex]2x - y - 3 = 0[/tex]
The points given are
a) (1, 2)
To determine whether it is on the graph of the line or not.
To do so, we can do 2 things:
1. Draw the graph and plot the point on the graph to check whether it is on the graph or not.
2. To put the point in the given equation of the line, whether the equation is satisfied or not.
For method 1: Kindly refer to the attached image of the line and point plotted.
Method 2:
Let us put [tex]x=1, y=2[/tex] in the Left Hand Side (LHS) of equation.
[tex]2\times 1 - 2 - 3\\\Rightarrow -3 \neq 0 , RHS[/tex]
(1, 2) Not on the graph.
(b) (1, -1)
For method 1: Kindly refer to the attached image of the line and point plotted.
Method 2:
Let us put [tex]x=1, y=-1[/tex] in the Left Hand Side (LHS) of equation.
[tex]2\times 1 - (-1) - 3\\\Rightarrow 3-3 = 0 = RHS[/tex]
(1, -1) is on the graph.
Simplify the ratio 45 to 75
The GCF of 45 and 75 is 15.
So, divide both numbers by 15.
45/15 = 3
7515 = 5
Therefore, the simplified version of the ratio is 3 to 5
Best of Luck!
There are 30 students in a class of 18 of them own at least one pet what fraction of the class own pets? Give your answer in its simplest form
Answer:
18/30 simplified is 3/5
Step-by-step explanation:
What fraction is greater than 3/8? 1/4 7/16 1/8 3/16
Answer:
7/16
Step-by-step explanation:
3/8 = 6/16
7/16 is greater than 6/16
Hope This Helps :)
Answer:
7/16
Step-by-step explanation:
Simplified 7/16 is 3.5/8, which is more than 3/8. The rest of the answers are less than 3/8.
Suppose pieces of chocolate pie served at a restaurant average 350 calories with a standard deviation of 20 calories. Calories have a Normal distribution due to inexact cutting of the pies. The shaded area represents the proportion of pieces of pie that have more than:__________
Answer:
Step-by-step explanation:
Suppose pieces of chocolate pie served at a restaurant average 350 calories with a standard deviation of 20 calories. Calories have a Normal distribution due to inexact cutting of the pies. Which graph represents the proportion of pieces of pie that have more than 375 calories.
Answer: The z score is used to determine how many standard deviations that the raw score is above or below the mean. If the z score is positive then the raw score is above the mean and for a negative z score means the raw score is below the mean. The z score is given as:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Given that: μ = 350 calories, σ = 20 calories, x > 375
[tex]z=\frac{x-\mu}{\sigma}\\\\z=\frac{375-350}{20}=1.25[/tex]
From the graph, The shaded area represents the proportion of pieces of pie that have more than 375 calories
From the normal distribution table, P(x > 375) = P(z > 1.25) = 1 - P(z < 1.25)
= 1 - 0.8944 = 0.1056 = 10.56%
Blueberries cost 4.99 a pound. Diego paid 14.95 for his blueberries. How many pounds did he buy?
Answer:
The answer is 3.
Step-by-step explanation:
The equation would be: x = 14.95 divided by 4.99, rounded to the nearest one:
14.95 divided by 4.99 = 2.99599...
Normally, I would not round the number to the nearest digit in problems like these, but 2.99599 is quite close to 3, so this might be an exception.
Anyways, that's how I got my answer.
Hope this helped.
An artist is making a scale model of a statue. On the model 2 inches represent 1 foot on the actual state witch graph best represents this relationship
Answer:
C
Step-by-step explanation:
i have the same question i found it on quizzes
Radianes a grados 5 pi sobre 3
Answer:
5pi/3x180grados/piradianes
900/3=300 grados
Step-by-step explanation:
a town has a population of 450000 people.if 60% of the population are under 25 years of age how many people in the town are 25 years old and over?
Answer:
180000
Step-by-step explanation:
100%-60%=40% - 40% of the population are above 25 years old40/100=0.4450000*0.4=180000 - There are 180000 people in the town ages 25 and up.A trianglar carpet is laid in a square room of side 12m, if the base of the carpet is 10m and the height is 8m, calculate the area of the floor uncoverd
◈ Area of square room :
[tex]:\implies\sf\:A_s=(side)^2[/tex]
[tex]:\implies\sf\:A_s=(12)^2[/tex]
[tex]:\implies\bf\:A_s=144\:m^2[/tex]
◈ Area of triangular carpet :
[tex]:\implies\sf\:A_t=\dfrac{1}{2}\times base\times perpendicular[/tex]
[tex]:\implies\sf\:A_t=\dfrac{1}{2}\times 10\times 8[/tex]
[tex]\:\implies\sf\:A_t=\dfrac{1}{2}\times 80[/tex]
[tex]:\implies\bf\:A_t=40\:m^2[/tex]
◈ Uncovered area of room :
[tex]:\implies\sf\:\Delta A=A_s-A_t[/tex]
[tex]:\implies\sf\:\Delta A=144-40[/tex]
[tex]:\implies\:\boxed{\bf{\blue{\Delta A=104\:m^2}}}[/tex]
Question 6 of 15, Step 1 of 1
Correct
Two trucks leave a warehouse at the same time. One travels due east at an average speed of 58 miles per hour, and the other travels due west at an average speed of
65 miles per hour. After how many hours will the two trucks be 369 miles apart?
Answer:
3 hours
Step-by-step explanation:
369 divided by (58+65)
Can you help me plz?
Answer:
3.048 meters
Hope this helps
Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
y = 4x - 2
y = x + 13
A. (1, 13)
B. (0, -2)
C. (5, 18)
D. (4,-2)
Answer:
c
Step-by-step explanation:
just plug each coordinates
5=x
18=y
if its tru for both then thats the answer
Answer:
5,8
Step-by-step explanation:
y=4x-2-----(i)
y=x+13----(ii)
Equating equation i and ii we get,
[tex]4x - 2 = x + 13[/tex]
[tex]4x - x = 13 + 2[/tex]
[tex]3x = 15[/tex]
[tex]x = 3[/tex]
[tex]substitutin \: the \: value \: of \: x \: in \: equation \: (i)[/tex]
[tex]y = 4x - 2[/tex]
[tex]y = 4 \times 5 - 2[/tex]
[tex]y = 20 - 2[/tex]
[tex]y = 18[/tex]
Marks this as a brainest answer ok.
rochelle needs to pick a frame that measures 7 6/11 inches on each side ?
no the frame will not fit
7 6/11 =7.545454
7.545454 is larger than 7.5
. What is the median of this set of values? 6, 8, 10, 8, 4, 2, 12 4 6 7 8
Answer:
7
Step-by-step explanation:
Just put the numbers in order the find the number in the middle in the case that there are to numbers add the together then divide by 2
write a fraction and a percent for the shaded portion of each one.
Answer:
Fractions:
a. 1/4
b. 1 and a half
c. 2/3
Percentages:
a. 25%
b. 50% unsure abt this one
c. 66.67%
Step-by-step explanation:
Maisie has saved up $50 to buy concert tickets, but the tickets cost $125. She is able to earn $15 per day by walking her neighbor’s dogs. How many days will Maisie have to walk the dogs to earn enough money to buy the tickets? Let d = the number of days worked.
Subtract 50 from 125
75
Divide by 15 (number of dollars per day)
5
If Maisie walks her neighbors dogs for 5 days, she will save up to a total of 125
Hope this helps :)
Answer:
✔ 50 + 15d = 125
What equivalent equation can you write after combining like terms?
✔ 15d = 75
How many days will Maisie have to walk the dogs?
✔ 5 days
Step-by-step explanation:
took. test.
3. Andrew wants to buy exercise equipment that costs $140 and the
tax is 5.75%. What is the sales tax?
Answer:
23
Step-by-step explanation:
just trust me
What is the midpoint of AB?
point F
point G
point H
point I
Answer:
g
Step-by-step explanation:
Answer:
point g is the answer
Step-by-step explanation:
4.75 lbs what is the amount in grams
A circle has a radius of 3.93 inches. Using the correct number of significant digits, find the circumference and the area of the circle.
The circumference is ____ in.
The area is ____ in.
Answer:
The circumference is 24.69 in.
The area is 48.52 in.
Step-by-step explanation:
Circumference rule => Cf=2πrSo, Cf=2π(3.93)=24.69in
Area rule => A=πr^2So, A=π(3.93)^2=48.52in
Kaleb can skateboard 75 feet in 25 seconds. How far can he skateboard in 3.25 minutes?
Answer:
585 Feet
Step-by-step explanation:
First, you have to consider how much seconds in a minute. 60.
Then, multiply 75 feet to make it match to 60 seconds. So 60/25. You get 2.4. You multiply 2.4 by 75 to get 180 feet per minute.
Finally, you multiply 180 by 3.25, as it is 3.25 minutes.
What is 10x-2(x+6)=52 ?
Answer:x=8
Step-by-step explanation:Reorder the terms:
10x + -2(6 + x) = 52
10x + (6 * -2 + x * -2) = 52
10x + (-12 + -2x) = 52
Reorder the terms:
-12 + 10x + -2x = 52
Combine like terms: 10x + -2x = 8x
-12 + 8x = 52
Solving
-12 + 8x = 52
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '12' to each side of the equation.
-12 + 12 + 8x = 52 + 12
Combine like terms: -12 + 12 = 0
0 + 8x = 52 + 12
8x = 52 + 12
Combine like terms: 52 + 12 = 64
8x = 64
Divide each side by '8'.
x = 8
Simplifying
x = 8
Answer:
x=5
Step-by-step explanation:
Use the number line to find 1/4+-21/8
Answer:
[tex]-\frac{19}{8}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}-\frac{21}{8}=\frac{2}{8}-\frac{21}{8}=\frac{2-21}{8}=-\frac{19}{8}[/tex]
The required number line represents 2 whole intervals (16/8) and then 7 more parts (7/8) from 0, and ends up at the point marked 2 3/8.
What is Number Line?In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.
To add fractions with different denominators, we need to find a common denominator. In this case, we can use 8 as the common denominator:
1/4 + -21/8
1/4 - 21/8
2/8 - 21/8
-19/8
-2 3/8
To represent 19/8 on a number line, we need to divide the interval between 0 and 3 into 8 equal parts, and then count 23 of these parts from 0.
The number line would look something like below as shown.
Thus, the required number line represents 2 whole intervals (16/8) and then 7 more parts (7/8) from 0, and ends up at the point marked 2 3/8.
Learn more about the number line here:
brainly.com/question/17617832
#SPJ3
Point B lies on segment AC . Find the length of segment BC if AB = 4 mm and AC = 4 cm.
Answer:
4cm - 4mm = 3.6 cm
So, B and C equals 3.6 cm
Solve the following inequality
-x<-7
Answer:
The answer could be any number above -7.
So, it could be...
(-8)
(-9)
(-10)
etc.
Step-by-step explanation:
The bigger the negative number, the lower the value.
A train travels at a constant speed of 60.4 miles per hour for 101.5 minutes. What distance does the train cover?
Answer:
102.2 miles
Step-by-step explanation:
First, convert the minutes to hours:
101.5/60
= 1.69 hours
Multiply this by 60.4 to find how many miles it covered:
= 102.2 miles
If you continue the pattern below so that you write all of the numbers in the pattern less than 500, how many even numbers will you write? 4, 9, 14, 19, 24, 29...
Answer:
I think it would be 50 even numbers
find the missing side that's indicated. Round your answers to the nearest tenth.
Answer:
1) 16.8ft
2) 32.2ft
3) 50.9cm
4) 14.4m
(all answers rounded off to the nearest tenth)
Step-by-step explanation:
Please see attached pictures for the full solution.
What does absolute value tell you
Answer:
the magnitude of a real number without regard to its sign.
Step-by-step explanation:
Omar's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs $4.10 Omar per pound, and type B coffee costs $5.30 per pound. This month, Omar made 141 pounds of the blend, for a total cost of $640.50. How many pounds of type A coffee did he use?
Hey there! I'm happy to help!
Let's use the variables A and B to represent the number of pounds used of types A and B.
4.10A+5.30B=640.50
A+B=141
Let's rearrange the bottom equation to solve for B.
A+B=141
Subtract A from both sides.
B=141-A
We can put this value of B into the first equation to solve for the number of pounds of type A Omar used.
4.10A+5.30(141-A)=640.5
We use distributive property to undo parentheses.
4.10A+747.3-5.3A=640.5
We combine like terms.
-1.2A+747.3=640.5
Subtract 747.3 from both sides.
-1.2A=-106.8
Divide both sides by -1.2
A=89
Omar used 89 pounds of type A coffee in this month's blend.
Have a wonderful day! :D