Determine whether each equation has one solution, no solution, or infinitely many solutions
3/2(2x+6)=3x+9
3x+5=3(x+5)
x+4x+4=3(2x-1)
6x+4x+1=2(5x+1)
Answer: Let's solve each equation step by step to determine the number of solutions:
3/2(2x+6)=3x+9
First, we distribute the 3/2 on the left side:
3x + 9 = 3x + 9
Subtracting 3x from both sides, we get:
9 = 9
This means that the equation is an identity and is true for all values of x. Therefore, it has infinitely many solutions.
3x+5=3(x+5)
Expanding the right side:
3x + 5 = 3x + 15
Subtracting 3x from both sides, we get:
5 = 15
This is a contradiction, so the equation has no solution.
x+4x+4=3(2x-1)
Simplifying the left side:
5x + 4 = 6x - 3
Adding 3 to both sides and subtracting 5x from both sides, we get:
7 = x
Therefore, the equation has one solution, x = 7.
6x+4x+1=2(5x+1)
Simplifying both sides:
10x + 1 = 10x + 2
Subtracting 10x from both sides, we get:
1 = 2
This is a contradiction, so the equation has no solution.
Step-by-step explanation:
What is the simplified form of 3√7 - 5√7? A. -2√7 B. 2√7 C. -√14 D. 15√7
I know this question is not about math or science but my friends are saying the Leonardo DiCaprio when he was young is hotter than Zac Efron now and when he was young. I need y’alls opinions.
Who is hotter, young Leonardo DiCaprio or 35 year old Zac Efron? My pick is Zac Efron but I want some opinions.
Answer:
it's Zac Efron for sure, Leonardo DiCaprio is just not the same...
Help ASAP ASAP (don’t miend me waiveng)(translate = don’t mind me waving) (ANSWER MUST BE CORRECT)
Answer:
B) 20.63
Step-by-step explanation: Just Divide?
math
screenshots
every question will ask to find the slope.
thank you
happy/hoppy easter-eve
Write an equation showing the relationship between the number of baskets (b) made from outside the three-point line and the number of points scored (p).
Tom and Katherine live in different towns which are linked by a bike trail. They agree to meet for a bike ride, and both set off from home at the same time. Tom rides north at a speed of 14 mph and Katherine rides south at 10 mph. The bike trail between their homes is 42 miles long. How long will it be before they meet?
Answer:
We can start by using the formula:
time = distance / speed
Let t be the time (in hours) for Tom and Katherine to meet.
Tom's distance = Tom's speed x time = 14t
Katherine's distance = Katherine's speed x time = 10t
Since they are riding towards each other, the total distance they cover is the sum of their distances:
Tom's distance + Katherine's distance = 42 miles
14t + 10t = 42
Simplifying:
24t = 42
t = 42 / 24
t = 1.75 hours
Therefore, Tom and Katherine will meet after 1.75 hours of riding.
Keira said that if 6 tickets are sold, there should be 2 tickets left. Is Keira correct?
Cadesia has $42.70, which is 175% of the amount that Alisha has. How much money, in dollars, does Alisha have?
its a simple true or false equation plz help
Answer:
I think true I'm so sorry if IT'S wrong
da..mn a week ago iknew how to do this, nd now i forgot :'(
Answer:
1/2*22/7*7*7
=77
Area of the rectangle=20*14=280
required area=280-77
=203Step-by-step explanation:
you know what I'm so lazy to solve it
The table below shows the total number of text messages that brad sent over 4 days.
a)M=×50
b)30=1500
Step-by-step explanation:
30×50
=1500
five less than 6 times a number plus seven
Answer:
6n-5+7
6n+2 (simplified)
Explain why each non-zero integer has two square roots but only one cube root.
I NEED HELP ASAP!!!!!!
Answer:
23. y intercept= -7 slope = 1/2
24. y-intercept = 4 slope = -1/3
Step-by-step explanation:
y=mx+b
y= slope x + y-intercept
What is the prime factorization of 51?
Enter the factors from least to greatest.
Answer: is 3 and 17
Step-by-step explanation:
So, the prime factorization of 51 is 51 = 3 × 17, and the prime factors of 51 are 3 and 17.
Answer:
Step-by-step explanation:
1) Use prime factorization.
3 | 5 1
|______
17
2) Therefore, the prime factors are:
3, 17
Factors of 51
1, 3, 17, and 51
thanks.
Pls help! Will give brainliest!!
Considering area (A) of garden as 30 square feet:
30 = x(2x+7)
Now we need to expand it:
x(2x+7) = 2x^2 + 7x
2x^2 + 7x = 30
Adding this into an Algebra calculator gives us 5/2 or 2.5
So x = 2.5
To prove this:
2(2.5) + 7 = 12
14 * 2.5 = 30
NEED HELP ASAP
Make a table that relates the length and width of a rectangle with a constant area of 100 square feet.
Answer:
sorry i thought i knew the aanswer :(
Step-by-step explanation:
pls answer ASAP i need help
Answer the question and show work...
Paul wants to go to a concert. The concert ticket costs $125. Paul earns $30 for each lawn he mows and $15 for each car he washes. How many lawns can Paul mow and how many cars can he wash to have enough money to buy a concert ticket?
A. 1 lawn and 6 cars
B. 3 lawns and 1 car
C. 5 lawns and 5 cars
D. 2 lawns and 2 cars
Please have an explanation of the answer or a screenie of the work you have done. That will really help me out. Thank you!! :D
Answer:
A would give you $120
B would give you $105
C would give you $225
D would give you $90
A, B and D wouldn’t get Paul enough money for the ticket but C would give him enough plus more because 5 lawns is $150 plus 5 cars is $75, 150+75 = 225
Step-by-step explanation:
The scale map says that 4 cm represents 5 km.whats the distance of 4 kilo. What is the actual number of kilo. That is represented by 5 cm on the map
4cm x cm
----- = -------
5km 4 km
to solve the proportion, cross multiply
5x = 16
x = 16/5 = 3.2
3.2km
The two dot plots below compare the forearm lengths of two groups of schoolchildren:
Based on visual inspection of the dot plots, which group appears to have the longer average forearm length? (5 points)
a
Group B, because three children in the group have the least forearm length of 11 inches
b
Group A, because three children in the group have the least forearm length of 11 inches
c
Group A, because seven children have a forearm length longer than 12 inches
d
Group B, because two children have a forearm length longer than 12 inches
Answer: B
Step-by-step explanation:looky
ASAP PLEASE!!!!!!!!!!!!!!!!!!!!1
Answer:
141 in²
Obviously don't write 141 in² because they've already wrote the in² part for you
the length of segment TQ= 29. explain how to find the length of segment QV. make sure to put the sentence in this form. statement then the because.
helpppp ):
Answer:
Length of segment QV = 35 units
Step-by-step explanation:
As shown in the figure attached,
Diagonals of TQVS are perpendicular to each other. Therefore TQVS will be a kite. By the property of a kite,
"There are two pairs of the sides which are equal in measure."
Therefore, TS ≅ TQ and SV ≅QV
Since TS ≅ TQ,
3x + 2 = 29 [Given: TQ = 29 units]
3x = 29 - 2
3x = 27
x = 9
Another pair of the consecutive sides is,
SV ≅ QV ≅ (4x - 1)
By substituting the value of x,
QV = (4 × 9) - 1
= 36 - 1
= 35 units
Therefore, length of segment QV = 35 units
Joanna draws a scale model of a rectangular table for a carpenter to build.
On her drawing, 3/4 of an inch represents 1 foot. In the drawing, the table is 7 1/2 inches long. How long, in feet, will the table be when the carpenter builds it?
A. 4 2/3 ft
B. 2 5/8 ft
C. 5 5/8 ft
D. 10 ft
Answer:
D
Step-by-step explanation:
just multiply the three over four inches with seven and a half to get the accurate measurements
Which scenario can be modeled by the linear function
y = -15x + 500?
A. The temperature on Jupiter is
15℉ and increases by 500℉ every day.
B. There is a population of 500 giraffes in Western Africa that decreases by 15 giraffes each year.
C. A carpet cleaning service charges $500 plus an additional $15 for every hour.
D. A membership fee for a movie streaming service is free, but each rental costs $15.
How many yards are in 4 miles?
Answer: 4 miles are equal to 7040
Step-by-step explanation:
As we know that the ratio can be simplified and the answer can be obtained,
according to the question 5 miles are equal to 8800.
so, here we arrange the ratio in its format as follows
Step 1:
Miles: Yards
5: 8800
Step 2: here we bring the ratio to its simplest form by dividing by 5 on both sides, that is:
5/5=1
8800/5= 1760
Now we get:
Miles: Yards
1: 1760
Step 3: now as we need to find the answer for 4 miles we need to multiply with 4 on both sides, that is:
Miles: Yards
4: 7040
from here we get the answer as 4 milesequalso 7040 yards.
Read more about Velocity,
https://brainly.com/question/2328454
Plot and connect the points A (2, -2), B (-4, -4), C (-4, -1), D (-2, 3), E (1, 3), F (2, 5), and find the length of BC.
Answer:
BC = 3 units
Step-by-step explanation:
Given points:
A = (2, -2)B = (-4, -4)C = (-4, -1)D = (-2, 3)E = (1, 3)F = (2, 5)Plot the points on the coordinate plane (x, y) and connect them in alphabetical order with straight lines (see attached).
From visual inspection of the drawn polygon, we can see that the length of BC is 3 units.
It is fairly simple to calculate the length of BC without plotting the points.
As points B and C have the same x-value, this means that the distance between them is simply the difference between their y-values.
⇒ distance = |-4 - (-1)| = |-3| = 3 units
Distance
√(x_2-x_1)^2+(y_2-y_1)^2√(-4+4)^2+(-1+4)^2√3²3 unitsGraph is attached
Sketch the graph of a quadratic function that has the following key features:
Opens downward
Has x intercepts at (-2,0) and (4,0)
Represent the following in rule method C = {0,1,2,3, ......,19}
Answer:
\(C={x\:l\:x \: are \: whole \: numbers \: less \: than \: 20}\)
Answer:
it would probably be C but you should check it