Answer:
x = 3
Step-by-step explanation:
(3 • (5x - 15)) - 15 • (x - 3) = 0
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
5x - 15 = 5 • (x - 3)
Equation at the end of step
3
:
15 • (x - 3) - 15 • (x - 3) = 0
STEP
4
:
Pulling out like terms
4.1 Pull out 15
Pulling out like terms :
4.2 Pull out x-3
After pulling out, we are left with :
15 • x-3 • ( 1 * 1 +( (-1) * (-1) ))
Equation at the end of step
4
:
30 • (x - 3) = 0
STEP
5
:
Equations which are never true
5.1 Solve : 30 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
5.2 Solve : x-3 = 0
Add 3 to both sides of the equation :
x = 3
One solution was found :
x = 3
The required value of a for which the solution of the inequality is all real numbers is a > 4.
What is inequality?
A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now the given inequality is,
a(x + 3) < 5x + 15 - x
or, a(x + 3) < 4x + 15
Now let us solve for x first,
⇒ ax + 3a < 4x + 15
Subtract 3a from both sides we get,
ax < 4x + 15 - 3a
Subtract 4x from both sides we get,
ax - 4x < 15 - 3a
or, (a - 4)x < 15 - 3a
Dividing both the side by (a - 4) we get,
x < (15 - 3a) / (a - 4)
Now for solutions to be real numbers,
a - 4 > 0
subtracting 4 both the side we get,
⇒ a > 4
this is the required value of a for which the solution of the inequality is all real numbers
Thus, the required value of a for which the solution of the inequality is all real numbers is a > 4.
To learn more about inequality :
https://brainly.com/question/13363104
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Patulong naman sa business math HAHHA
What is 4÷97 answered as a decimal?
Answer:
0.0412371134
Step-by-step explanation:
Answer:
24.25 hope that helps
Step-by-step explanation:
14:6 divided by 5 ( the 14:6 is a ration )
James has $40 to spend. He wants to buy 2 tickets to a show. He has to spend $7 to get where tickets are sold. The following inequality can be used to find out the highest price James can afford to pay for each ticket. 2x+7 less than or equal to 40.
A.) x less than or equal to 23.5
B.) x less than or equal to 16.5
C.) x greater than or equal to 23.5
D.) x greater than or equal to 16.5
Answer:
B.) X less than or equal to 16.5
Step-by-step explanation:
If you take his limit, 40 and subtract the 7 dollars you will get 33. Then, divide that by two because he will need two tickets and you will get 16.5. It can't be greater than 16.5 because he will go over his budget.
Answer:
x ≤ 16.5
Step-by-step explanation:
40 ≤ 2t + 7 Subtract 7 from both sides.
40 - 7 ≤ 2t + 7 - 7
33 ≤ 2t Divide both sides by 2.
[tex]\frac{33}{2}[/tex] ≤ [tex]\frac{2t}{2}[/tex]
16.5 ≤ t or t ≥ 16.5
A shop sells bagels for $5 per dozen. You can use the table to answer
the questions. Explain your reasoning. (Show all your work)
1. At this rate, how much would 6 bagels cost?
2. How many bagels can you buy for $50?
Answer with step-by-step explanation:
Lets says the number of bagels is B and the price in dollars is D.
Equation: D × 12/5 = B
1. 6 is half of a dozen, which means the price would be half of 5, 2.5
2. $50 is 10× the amount of $5, so the amount of bagels would be 10 × 12, which is 120 bagels.
Hope this helped! (brainliest please)
A Dozen mathematically means 12.
It is important to note that:
$5 = 12 bagels
1) 12 bagels = $56 bagels = ?
Cross Multiply
6 bagels x $5 / 12
= $7.50
Therefore, 6 bagels would cost $7.50
2) $5 = 12 bagels$50 = ?
Cross multiply
$50 x 12 bagels / $5
= 120 bagels
Therfore, you can buy 120 bagels for $50
To learn more, visit the link below:
https://brainly.com/question/9094069
Both questions in picture! Will give brainliest!!
Answer:
See belolw
Step-by-step explanation:
[tex]P=53\text{ft}[/tex]
[tex]P = a+b+c[/tex]
[tex]53=2x-15+x+1+3x-29[/tex]
[tex]53=6x-43[/tex]
[tex]96=6x[/tex]
[tex]x=16[/tex]
[tex]a=2x-15[/tex]
[tex]a=2(16)-15[/tex]
[tex]\boxed{a=17}[/tex]
[tex]b=x+1[/tex]
[tex]b=16+1[/tex]
[tex]\boxed{b=17}[/tex]
[tex]c=3x-29[/tex]
[tex]c=3(16)-29[/tex]
[tex]\boxed{c=19}[/tex]
Answer:
1. x=16, a=17, b=17, c=19
2. k=-2
Step-by-step explanation:
1.
We can set up an equation where all the labeled sides add up to 53, and then find x:
(2x-15)+(x+1)+(3x-29)=53
6x-43=53
6x=96
x=16
Now that we know x, we can plug it back in to the expressions of the triangles to find their side lengths:
a=2(16)-15=17
b=16+1=17
c=3(16)-29=19
2.
Reminder: the slope of a line is its change in y over its change in x. We can then set up an equation:
[tex]\frac{2-k}{k-(-3)}=4\\\frac{2-k}{k+3}=4\\2-k=4k+12\\5k=-10\\k=-2[/tex]
please answer this I really need help if you just take my points ill report I just need help pleassesssseessesesee!!!!!!!! (15 points!)
Answer:
1.b 2.a i hope this is right
Step-by-step explanation:
Car Y travels 105 miles on 3 gallons of petrol. Car Z travels 80 miles on 9 litres of petrol.
Which car has better petrol consumption ( more miles per gallon)?
You may use the fact that 1 gallon =4.5 litres
Options are
A. None
B. Y
C. Z
Answer:
Car Z has better petrol consumption. Choice C. Z
Step-by-step explanation:
Petrol Consumption
Car Y travels 105 miles on 3 gallons of petrol. The average consumption is 105 / 3 = 35 miles/gallon
Car Z travels 80 miles on 9 litres of petrol. Since 1 gallon=4.5 litres, the consumption of car Z is 9/4.5= 2 gallons. The average consumption is 80/2 = 40 miles/gallon.
This means that car Z has better petrol consumption. Choice C. Z
find the difference
5/6-7/10
Answer:
2/15
Step-by-step explanation:
BRANIEST PLS
Answer: 2/15 is the answer hope this help
Step-by-step explanation:
Jason had one hundred fifty-nine dollars to spend six books.After buying them he had fifteen dollars.How much did each book cost.
Answer:
11.5
Step-by-step explanation:
Divide: 159:6-15
Calculate: 26.5-15
\\11.5//
Answer:
24.8333 with 3 repeating.
Step-by-step explanation:
Lets make an equation for this.
159 - x = 15
X is what we are loooking for so lets isolate it.
Subtract 159 on both sides.
-x = -149
Since both are negative we need to simply cross it out.
x = 149
Now he bought six books, so divide 149 by 6.
You would get 24.8333 with the 3 repeating.
y=-3x-1 find slope and y interceapt
Slope = - 3
y-int = - 1
Step-by-step explanation:Understanding slope intercept
y = mx + b
y = Slope(x) + y-intercept
y = -3x - 1
y = (-3)x + (-1)
Slope = - 3
y-int = - 1
Hope this helps,
how do you do this ??
Answer:
Step-by-step explanation:
There are my notes for that stuff. I hope you understand cause I'm having trouble with it too. Just ask any questions if you still need help maybe i can help.
The water level at Lake Livingston last week was 3.45 inches below sea level. After a heavy rain, the lake measured 2.9 inches above sea level. What was the change in the water level?
Hello pls helppppppppppp
Answer:
B
Step-by-step explanation:
Answer:
For example, if we multiply the numerator and denominator of 2/3 by 4 we get. 2/3 = 2×4 / 3×4 = 8/12 which is an equivalent fraction of 2/3. t is 12/20 Simplified? - 3/5 is the simplified fraction for 12/20.Are any of these numbers an Integer?
15
20/5
44
13/19
-35.47
;w; help
Answer: 15, and 44 are integers.
Step-by-step explanation: For 15 to be an integer, 15 has to be a whole number. Furthermore, for 15 to be an integer, you should be able to write 15 without a fractional or decimal component. 15 is a whole number that can be written without a fractional component, thus 15 is an integer, as well as 44.
Someone plz answer
the school jimmy goes to is selling tickets to a fall musical. om the first day of ticket sales the school sold 9 adult tickets and 14 child tickets for $101. The school took in $88 on the second day by selling 12 adult tickets and 7 critical tickets. What is the price each of one adult ticket and one child ticket.
Answer:
if my math is correct it is $4.39
Step-by-step explanation: do not fully trust this
What is the equation of the vertical line through -8, 5
Answer:
The answer of the following questions is y=3x-19
What is the equation of the line that passes through the point (1,0) and has a slope
of 1?
Answer:
x=y
Step-by-step explanation:
The answer is x=y if the slope is 1,1 | 2,2 | 3,3 | etc
How do i simplify the expression 6(x+2)-4
ASAP WILL GOVE BRAINLIEST FO YOU EXPLAIN AND GIVE ME ANSWER ASAP
Answer:
[tex]105 \frac{3}{10}[/tex], so most likely G
Step-by-step explanation:
[tex]105.3=105.30=105 \frac{30}{100} =105\frac{3}{10}[/tex]
First, we convert to a fraction. Then, we simplify.
answerrrr plssssssssssssssssssssssssssssssssssss
Answer:
c
Step-by-step explanation:
because like it would happen in real life yk and the others dong make sense at all
tell me if its right
Answer:
c)scene
according to me
What is the area of the triangle?
Answer:
4
Step-by-step explanation:
The formula of the area of a triangle is 1/2 times base times height
1/2 .4.2 equals 4
I WILL GIVE BRAINLIEST AND 36 Points
Refer to screenshots
8. Which line on the graph represents the equation y=3x-2?
line A
line B
line C
line D
9.Which equation represents the graph?
y = |x| – 4
y = |x – 4|
y = |x + 4|
y = |x| + 4
12.Which equation represents the graph?
y = |x| + 6
y = |x – 6|
y = |x| – 6
y = |x + 6|
17.Which set of ordered pairs corresponds to the graph?
{(5, 1), (4, 2), (0, –1), (–2, 3), (–5, 1)}
{(–2, 3), (5, 1), (–5, 1), (1, 0), (4, –2)}
{(–5, –1), (–2, 3), (0, –1), (4, –2), (5, 1)}
{(–2, 4), (–1, –5), (–1, 0), (1, 5), (3, –2)}
19.Which equation is represented by the table?
Y=-|X-1|-4
Y=|X-1|-4
Y=-|X+1|-4
Y=|X+1|-4
Answer:
1.a
2.c
3b
4.c
5.a or b
Step-by-step explanation:
Please help me please I feel like crying cause I can't do it...
Answer:
1. 39
2. 15
3.329
4. 16
5. 300
Step-by-step explanation:
Just divide the first two numbers and then multiply the quotient by the last number. You'll be ok, you've got this, keep your head up!
1. 52/4 = 13 and 13 x 3 = 39
2. 45/9 = 5 and 5 x 3 = 15
3. 470/10 = 47 and 47 x 7 = 329
4. 10/2.5 = 4 and 4 x 4 = 16
5. 125/2.5 = 50 and 50 x 6 = 300
Which of the following statements does not represent the same value as the others?
the distance between 0 and −9
the absolute value of negative 9
the opposite of 9
the absolute value of 9
the distance between 0 and −9
the absolute value of negative 9
the opposite of 9
the absolute value of 9
How many solutions does the following equation have? -6(x + 7) = -42 - 2
Answer:
x = 1/3 or .333
Step-by-step explanation:
Easy 7th grade work sheet ! Please help , I’ll give brainliest (all answers)
can Yhu help me plzzz!!!!
Answer:
f^-1 (x) =7 − 21x
Step-by-step explanation:
Hope this helps!
Plz give brainliest
-0.6 repeating terminating or neither
Answer:
Repeating.
Step-by-step explanation:
If Mariana scores 5 points how many points did aki score
There is no graph or further explanation for a question to answer