Complete the point-slope equation of the line through (2,3)(2,3)left parenthesis, 2, comma, 3, right parenthesis and (7,4)(7,4)left parenthesis, 7, comma, 4, right parenthesis. Use exact numbers. y-4=y−4=y, minus, 4, equals
Answer:
[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]
Step-by-step explanation:
Given
[tex](x_1,y_1) = (2,3)[/tex]
[tex](x_2,y_2) = (7,4)[/tex]
Required
Complete the equation y - 4.....
First, we need to determine the slope as follows:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{4 - 3}{7 - 2}[/tex]
[tex]m = \frac{1}{5}[/tex]
The equation is then calculated as thus:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - 4 = \frac{1}{5}(x -7)[/tex]
Open bracket
[tex]y - 4 = \frac{1}{5}x -\frac{7}{5}[/tex]
Add 4 to both sides
[tex]y - 4 +4= \frac{1}{5}x -\frac{7}{5} + 4[/tex]
[tex]y = \frac{1}{5}x -\frac{7}{5} + 4[/tex]
[tex]y = \frac{1}{5}x +\frac{-7+20}{5}[/tex]
[tex]y = \frac{1}{5}x +\frac{13}{5}[/tex]
Answer:
y - 4 = 1/5 ( x - 7 )
Step-by-step explanation:
Khan Academy
The equation below has one solution 9X -10 equals 3X +2 what is the solution to the equation
Answer:
X= 2
Step-by-step explanation:
9x-10
(9*2)-10
18-10
8
3x+2
(3*2)+2
6+2
8
Solve x to the 4th power -3 x to the third power minus x squared minus 27x minus 90 equals 0 by finding all roots
Answer:
4x-27x-54-90=
Step-by-step explanation:
well first you have to subtract x which is -23x
then u have to bring 90+54 on the other side
which then leaves you with
-23x=144
x=-6.260869565217391
can i also get brainliest please
A hot air balloon was flying at an altitude of 300 meters when the pilot decided to land by descending at a rate of 2 meters per second.For which of these functions doesy represent the altitude of the hot air balloon if x represents the number of seconds since the pilot started her landing?
Una caja contiene 3 bolas verdes, 5 bolas rojas y 2 bolas azules. Si se extraen al azar dos bolas sin reposición, ¿cuál es la probabilidad de que la primera sea azul y la segunda sea verde?
Responder:
1/15
Explicación paso a paso:
Dado que :
Número bolas verdes = 3
Número de bolas rojas = 5
Número de bolas azules = 2
Dibujo sin reemplazo; probabilidad de que el primero sea azul, el segundo sea verde
Probabilidad = resultado requerido / Total de resultados posibles
Resultados posibles totales = 3 + 5 + 2 = 10
P (1er azul) = número de azules / 10
P (1er azul) = 2/10 = 1/5
Sin reemplazo :
Total restante = 10 - 1 = 9
P (segundo verde) = número de verdes / 9 = 3/9
Probabilidad del primer azul y del segundo verde:
1/5 * 3/9 = 3/45 = 1/15
The probability that the first is blue and the second is green is 1/15
Probability is the likelihood or chance that an event will occur.
Probability = Expected outcome/Total outcomeIf a box contains 3 green balls, 5 red balls and 2 blue balls, the total number of balls is 10balls
Total outcome = 10 ballsIf blue is selected at first, the probability of selecting blue is 2/10 = 1/5If green is selected without replacement, the probability of selecting green will be 3/9Pr(selecting red and then green) = 1/5 * 1/3 = 1/15Learn more on probability here: https://brainly.com/question/24756209
At the theater, the Garcia family bought 2 adult tickets and 3 children's tickets for $44.50. The Smith family bought 3 adult tickets and 6 children's tickets for $78. Find the price of an adult ticket and the price of a children's ticket.
Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
Answer:
Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
Step-by-step explanation:
What is the solution to the equation x/3+x/6=7/2?
A. x=3/2
B. x= 7/3
C. x= 3
D. x= 7
Answer:
x=7
Step-by-step explanation:
Beth works at a car lot. This week she sells $23,200 in cars. She earns 4% commission for all the
cars she sells. How much will she earn this week?
Answer:
$928
Step-by-step explanation:
23200/100 = 232
232 * 4 = 928
Cindy was making desserts for a bake sale. She had 24 cups of sugar to work with. She used 3/4 of the sugar to make pies. She used the remaining sugar to make giant cookies. If each giant cookie needed 3/5 of a cup, how many cookies could Cindy make?
Answer:
she had 23 and 1/4 cups of sugar left to make the cookies.
93/4 is the improper fraction of that.
[tex]\frac{93}{4} / \frac{3}{5}[/tex]
the lowest common multiple is 20, so convert the fractions to have common denominator
[tex]\frac{465}{20} / \frac{12}{20}[/tex]
divide the numerators and you have your answer
38.75 cookies
Step-by-step explanation:
Hiiii please help and show how u did it
Answer:
x = 23
Step-by-step explanation:
Given
[tex]\frac{x-11}{2}[/tex] - [tex]\frac{x-3}{5}[/tex] = 2
Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions
5(x - 11) - 2(x - 3) = 20 ← distribute and simplify left side )
5x - 55 - 2x + 6 = 20
3x + 49 = 20 ( add 49 to both sides )
3x = 69 ( divide both sides by 3 )
x = 23
HELP PLEASE
Question 4 (5 points)
(04.05)
Evan spent 20 hours doing homework last week. This week he spent 25 hours doing homework. He says that he spent 125% more time doing homework this week. Is he correct? Show your work to justify your decision. (5 points)
Answer:
[tex]\huge\boxed{\sf No}[/tex]
Step-by-step explanation:
Evan spent 20 hours doing homework last week
25 hours were spent this week.
Let's see what 125% of 20 equals:
= (125 / 100) * 20
= (125 / 10) * 2
= 125 / 5
= 25 hours
But,
It is written that Evan thought he spent 125 % more than the last week which means:
= (125% of 20) + 20
= 25 + 20
= 45 hours
He should've said that he has given 25% more time than the last week.
(Note that: 25 % of 20 equals 5 so 25 % more than last week will be equal to (25 % + 20) = (5+20) = 25)
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Jorge's dog weighs 14 pounds. How many ounces does he weigh?
Answer: 224
Step-by-step explanation:
-3 |-2•4 | =
.........
Answer:
-24
Step-by-step explanation:
A family bought a total of 32 adult and child tickets to eat at the dining hall.
Adult tickets are $21 each and children are $15 each.
The family paid a total of $282
Write an equation to model the total number of tickets sold.
Write an equation to model the cost of tickets sold.
How many of adult tickets, “x” and child tickets, “y” did they buy?
Answer:
Answer: 250 $3 tickets and 100 $2 tickets were sold.
Step-by-step explanation:
Solution:
Step 1: Set up a table with quantity and value.
quantity value total
$3 tickets
$2 tickets
together
Step 2: Fill in the table with information from the question.
The cost of tickets for a play is $3.00 for adults and $2.00 for children. 350 tickets were sold and $950 was collected. How many tickets of each type were sold?
Let x = number of $3 tickets
Let y = number of $2 tickets
Total = quantity × value
quantity value total
$3 tickets x 3 3x
$2 tickets y 2 2y
together 350 950
Step 3: Add down each column to get the equations
x + y = 350 (equation 1)
3x + 2y = 950 (equation 2)
Use Substitution Method
Isolate variable x in equation 1
x = 350 – y (equation 3)
Substitute equation 3 into equation 2
3(350 – y) + 2y = 950
1050 – 3y + 2y = 950
3y – 2y = 1050 – 950
y = 100
Substitute y = 100 into equation 1
x + 100 = 350
x = 250
Answer: 250 $3 tickets and 100 $2 tickets were sold.
A bicycle wheel has a diameter of 28 inches. Which expression can be used to describe the circumference of the wheel as it relates to diameter?
Given:
The diameter of a bicycle wheel is 28 inches.
To find:
The circumference of the wheel as it relates to diameter.
Solution:
We have,
Diameter: [tex]d=28\text{ inches}[/tex]
We know that,
Radius: [tex]r=\dfrac{d}{2}[/tex]
[tex]r=\dfrac{28}{2}\text{ inches}[/tex]
The circumference of a circle is
[tex]C=2\pi r[/tex]
Putting [tex]r=\dfrac{28}{2}[/tex], we get
[tex]C=2\times \pi \times \dfrac{28}{2}[/tex]
[tex]C=28\times \pi[/tex]
Therefore, the correct option is (H).
The United States government used to make coins of many different values
cont
3 cents
20 cents
$2
$5
For each coin, state its worth as a percentage of $1.
Type the answers in the boxes below.
1. cent
50
2. 3 cents
3
3. 20 cents
4. $2
Answer:
1. 50%
2. 3%
3. 20%
4. 200%
Step-by-step explanation:
Here, we want to find the worth of each coin as a percentage of $1
We simply divide the worth by $1 and multiply by 100%
$1 is same as 100 cents
Thus;
1. 50 cent
= 50/100 * 100% = 50%
2. 3 cents
= 3/100 * 100% = 3%
3. 20 cents
= 20/100 * 100% = 20%
4. $2
= 2/1 * 100% = 200%
seven times a number equals
70
Show work
Answer:
7 times 10 equals 70
Step-by-step explanation:
70 divided by 7 equal 10 and 70 divided by 10 equal 7
The prices of different types of nuts are shown in the table.
Type of Nut Price per Pound
Almonds $9.15
Cashews $10.75
Peanuts $3.95
Mila buys 1.4 pounds of almonds, 0.8 pound of cashews, and 2.6 pounds of peanuts.
How much does Mila spend in all?
Answer:
$31.68
Step-by-step explanation:
Multiply each by the correct number
almond= 1.4*9.15= 12.81
cashews= 10.75* 0.8= 8.6
Peanuts= 3.95 * 2.6= 10.27
Add them all up
12.81+8.6+10.27
you’ll get 31.68
gary Sanchez struck out 112 times in 350 at bats. What PERCENTAGE of his at-bats were strike outs?
Answer:
it would be 32/100
Step-by-step explanation:
Answer:
32% of his bats were stuck out.
Step-by-step explanation:
You earn a new a weekly allowance of five dollars and your neighbor is paying you 7.50 per hour for shoveling the driveway how many hours,x, Master work this week if you wanna earn more than $30
Answer:
Hours of work= 3.5
Step-by-step explanation:
Giving the following information:
Allowance= $5
Hourly pay= $7.5
Desired profit= $31
To calculate the number of hours to work, we need to use the following formula:
Hours of work= shoveling pay / hourly pay
Hours of work= (31 - 5)/7.5
Hours of work= 26/7.5
Hours of work= 3.5
Jeyniel wrote the expression x^3/y^2. If x=4 and y=2; how much is the value of the expression? *
Answer:
The answer is 16
Step-by-step explanation:
X^3=64
Y^2=4
so 64 divided by 4 is 16
Answer:
16
Step-by-step explanation:
this might help you
3 years ago lower bought a new car for 21,700 when she traded the car into a dealer last week it was worth 13,020. Find the percent decrease in the car's value over the 3 year.
Answer:
1.67 percent
Step-by-step explanation:
A driver travels from Town A to Town B at a speed of 75km/hr and covers a distance of 150km. He then travels from Town B to Town C for 3 hours at a speed of 80km/hr. Find the average speed from Town A to Town C
chal khud kar solve
nikal yahann se, khud mehnat se solve kar
Victor's crew team needs to raise at least $3,000 for their trip to the state championships. A sponsor generously donated hot dogs and cans of soda for the team to sell at each school sporting event. The crew team members will sell hot dogs for $2 each and sodas for $1 each. Which inequality can be used to calculate how many hot dogs,x, and sodas, y, Victor's team needs to sell to have enough money for the trip?
Marcello is an artist who makes oil paintings and charcoal sketches. He sells each oil painting for $500 and each charcoal sketch for $300. Marcello wants to create 56 works total. Write and solve a system of equations to determine how many pieces of artwork he must sell in order to make exactly $20,000
Answer:
He needs to sell 25 pieces of artwork.
Step-by-step explanation:
$500 for an oil painting.
$300 for a charcoal sketch.
56 pieces of artwork total.
$20,000 goal.
500 + 300
= 800
$800 for 1 oil painting and 1 charcoal sketch.
20,000 ÷ 800
= 25
He needs to sell 25 pieces of artwork to make $20,000.
A car is traveling at a rate of 32 miles per hour. At this rate, how many miles will the car will travel in 30 minutes?
Pls this will make my christmas
Answer:
32/2 is 16.
So.... 16 miles per 30 minutes
Step-by-step explanation:
Merry Christmas
Answer:
16 miles in a half hour
Step-by-step explanation:
divide the hour in half and then divide the 32 mph to get the 16 mph.
help helppp help i need answerr thank Uuuuuuuuu
Answer:
see explanation
Step-by-step explanation:
(a)
The angles are vertical and congruent, that is
x - 10 = 125 ( add 10 to both sides )
x = 135
-------------------------------------------------
(b)
Supplementary angles sum to 180°
The angles are in the ratio 2 : 3 = 2x : 3x ( x is a multiplier ), then
2x + 3x = 180
5x = 180 ( divide both sides by 5 )
x = 36
thus
2x = 2 × 36 = 72
3x = 3 × 36 = 108
Then the 2 angles are 72° and 108°
Now you can mark them brainliest.
which mathematical property is shown here
7+2=2+7
1 distributive property
2 commutative property
Answer:
Commutative property
Answer:
It is commutative property!
Step-by-step explanation:
Distributive is when the numbers are distributed while commutative is when you can swap around the numbers and nothing would change therefore the equation you gave is a commutative property
Elias has joined a game rental service. The membership has an initial fee of $35.00 and each game rental costs $5.00. This table shows the linear relationship between the total cost, y, and the number of games Elias rents, x. Fill in each box to correctly model the relationship between x and y.
Answer:
y=mx+b
y=35+5x
Step-by-step explanation:
The table shows a relationship between the number of
tennis balls that fit into a given
number of cans.
Fill in the missing values to complete the table. Use
the spaces to the right to explain your values,
Answer:
What events or steps are described?
Do these things need to occur in a particular order?
Step-by-step explanation: