The sum of 3 times the value of x and 2 is equal to 4 less than 5 times the value of x. Which equation can be used
to find the value of x2
3x + 2 4 - 5x
62% + 3 = 4 -5%
3x + 25% - 4
None of these
Answer:
3x + 2 4 5x
Step-by-step explanation:
The solution of the equation formed 3x + 5x = 4 - 2 will be; x = 1/4.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We have given that sum of 3 times the value of x and 2 is equal to 4 less than 5 times the value of x then;
The sum of 3 times the value of x and 2 means (3x + 2)
4 less than 5 times the value of x means (4 - 5x)
Therefore, the equation would be;
3x + 2 = 4 - 5x
Now solving for x;
3x + 5x = 4 - 2
8x = 2
x = 1/4
Hence, the solution of the equation formed 3x + 5x = 4 - 2 will be; x = 1/4.
Learn more about equations here;
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Fred has 24 pints of green paint. He uses 1/4 of it to paint a landscape and 5/8 of it while painting a clover. He decided that, for his next painting, he will need 13 2/3 pints of green paint. How much more paint will he need to buy?
Answer: 4 1/6
Step-by-step explanation:
Factorise x cubed - x
Answer:
= x(x+1)(x-1)
Step-by-step explanation:
Given the expression x³ - x
On factorizing
x³ - x
= x(x²-1)
Using difference of two square
a² - b² = (a+b) (a-b)
x² - 1
= x² - 1²
= (x+1)(x-1)
The complete factor
x³ - x
= x(x²-1)
= x(x+1)(x-1)
CALCULUS: For an object whose velocity in ft/sec is given by v(t) = sin(t), what is its distance, in feet, travelled on the interval t = 1 to t = 5?
A. 0.45
B. 2.82
C. 0.03
The linked answer is wrong because that integral gives you the net displacement of the object, not the total distance.
To get the distance, you have to integrate the speed (as opposed to velocity), which involves integrating the absolute value of the velocity function.
[tex]\mathrm{distance} = \displaystyle\int_1^5 |\sin(t)| \,\mathrm dt[/tex]
By definition of absolute value,
[tex]|\sin(t)|=\begin{cases}\sin(t)&\text{for }\sin(t)\ge0\\-\sin(t)&\text{for }\sin(t)<0\end{cases}[/tex]
Over this particular integration interval,
• sin(t ) ≥ 0 for 1 ≤ t < π, and
• sin(t ) < 0 for π < t ≤ 5
so you end up splitting the integral at t = π as
[tex]\mathrm{distance} = \displaystyle\int_1^\pi \sin(t)\,\mathrm dt + \int_\pi^5 (-\sin(t))\,\mathrm dt[/tex]
Now compute the distance:
[tex]\mathrm{distance} = -\cos(t)\bigg|_1^\pi + \cos(t)\bigg|_\pi^5[/tex]
[tex]\mathrm{distance} = -(\cos(\pi) - \cos(1)) + (\cos(5) - \cos(\pi))[/tex]
[tex]\mathrm{distance} = -2\cos(\pi) + \cos(1) + \cos(5) \approx 2.82[/tex]
making B the correct answer.
During a scuba dive, Lainey descended to a point 23 feet below the ocean surface. She continued her
descent at a rate of 23 feet per minute. Enter an inequality you could solve to find the number of minutes
she can continue to descend if she does not want to reach a point more than 97 feet below the ocean
surface. Use t to represent the variable for the minutes Lainey can continue to descend.
The inequality is
t (select)
t (23) ≤ 97 - 23
The minus 23 at the back represents the feet she already descended before what the question wants us to calculate
≤ is used instead of < because it states more than, not "equal or more than" (meaning 97 sharp is fine)
Twelve is not equal to negative four
Ok?? thx for the points
Hi there!
Twelve is not equal to negative four.
So we know that all of the factors of twelve is 1,2,3,4,6, and 12 itself...
None of these are actually -4 since -4 doesn’t equal to 12.
Think about this... when your trying to multiply or add...
[tex]-4+-4=0[/tex]
[tex]0+-4=-4[/tex]
[tex]-4[/tex]·[tex]-4=16[/tex]
If you keep on multiplying or adding it, it’ll always stay the same...
So like always, twelve isn’t equailvalent to -4.
Simplify -2 (x+8) +1 (3x+16)
Answer:
Ans : =x
brainliest plsssssss
Step-by-step explanation:
Let's simplify step-by-step.
−2(x+8)+1(3x+16)
Distribute:
=(−2)(x)+(−2)(8)+(1)(3x)+(1)(16)
=−2x+−16+3x+16
Combine Like Terms:
=−2x+−16+3x+16
=(−2x+3x)+(−16+16)
=x
Need help asap with this math question! THix
Answer:
b and d
Step-by-step explanation:
Line j has a slope of Line k has a slope of }
. Are line j and line k parallel or perpendicular?
parallel
perpendicular
neither
Submit
plz Hurry
A line is different from a line segment because a line _____________.
A) has endpoints
B) is curved
C) continues on in both directions
D) continues on in one direction
please please help me out
Given t4 = 187.5 and r = 2.5
a. Find the value of t1.
b. Write an explicit formula for this sequence.
c. Find the value of t18.
Answer:
a) [tex]t_{1} = 12[/tex]
b) The explicit formula
[tex]t_{n} = ar^{n-1} = 12(2.5)^{n-1}[/tex]
c) t₁₈ = 69,849,193.096
Step-by-step explanation:
Step(i):-
Given that the geometric sequence
r = 2.5
Given the fourth term of the geometric sequence
[tex]t_{4} = ar^{3} = 187.5[/tex]
⇒ ar³ = 187.5
⇒ a (2.5)³ = 187.5
[tex]a = \frac{187.5}{(2.5)^{3} } = 12[/tex]
The explicit formula
[tex]t_{n} = ar^{n-1} = 12(2.5)^{n-1}[/tex]
Step(ii):-
put n=1
[tex]t_{1} = ar^{1-1} = 12(2.5)^{1-1} = 12 (2.5)^{0} = 12[/tex]
The [tex]18^{th}[/tex] of the geometric sequence
[tex]t_{18} = ar^{18-1} = a r^{17}[/tex]
[tex]t_{18} = 12( 2.5)^{17}[/tex]
t₁₈ = 69,849,193.096
Final answer:-
a) [tex]t_{1} = 12[/tex]
b) The explicit formula
[tex]t_{n} = ar^{n-1} = 12(2.5)^{n-1}[/tex]
c) t₁₈ = 69,849,193.096
Write the equation of a line in slope-intercept form that is contains a slope of -0.32 and
a y intercept at (0, 4.75).
Answer:
y = -0.32x + 4.75
Step-by-step explanation:
Slope-intercept form is y = mx + b where m is the slope and b is the y-intercept. (For example: y = 2x + 1)
Since you have the slope, or m, is -0.32 and the y-intercept, or b, is 4.75, you can plug those into the equation to get y = -0.32x + 4.75
the winning candidate in an election receives 0.64 of the votes. there are 100 voters. how many votes does the winning candidate receive?
Answer:
64
Step-by-step explanation:
.64 = Sixty-four hundredths or 64/100
That is 64% or 64 voters out of 100
The length of a rectangle is twice its width if the perimeter of the rectangle is 42 inches find its length and width
PLSSSS HELP FASTTT
Answer:
Length = 14, Width = 7
Step-by-step explanation:
Step 1:
Length + Length + Width + Width = Perimeter
Step 2:
2w + 2w + w + w = 42
Step 3:
6w = 42
Step 4:
w = 7
Step 5:
7 × 2 = 14
i hope this helps you. :)
Answer:
Length = 14, Width = 7
Step-by-step explanation:
In the figure above, are <3 and <7 alternate interior angles,
same-side interior angles, corresponding angles, or alternate
exterior angles?
Answer:
Corresponding angles
Step-by-step explanation:
<3 and <7 lie on the same side of the transversal line. Each angle also is located on the outside of each parallel lines cut across by the transversal.
Therefore, <3 and <7 are corresponding angles.
Please help :c !!!!
Answer:
Row D
Step-by-step explanation:
y = 2x - 3
if x = 10
y = 2 * 10 - 3
= 20 - 3
= 17
so row d is incorrect.
pam and mary each baked brownies. pam cut her pan into 6 pieces and gave away 4 of then.Many only cut her pan into 3 pieces and gave away the same amount as pam.show this on the drawing
Answer:
sheeeeeeesh
Step-by-step explanation:
The function Y (x) = 1/3x represents the number of yards Y(x) in x feet. How many yards are there in 1 mile? (Hint: there are 5280 ft in 1 mile.)
Answer:
Step-by-step explanation: there are 1760 yards in one mile, so therefor there are 1760
GIVING BRAINLIEST!
What is the measure of x?
Angles are not necessarily drawn to scale
Answer: x = 31°
Step-by-step explanation:
Reflect the point (6-5) over the x-axis A (6.5) B. (5.-6 C (-6-5) D. 6.5
Answer: (5,-6)
Step-by-step explanation:
3.3(x + 1.2) = 40.26
Answer: x=11
Step-by-step explanation:
Answer:
x = 11
Step-by-step explanation:
3.3(x + 1.2) = 40.26
Distribute the 3.3 across the parentheses.
3.3x + 3.96 = 40.26
Combine the constants by subtracting 3.96 from both sides
3.3x = 36.3
Isolate the variable by dividing both sides by 3.3
x = 11
Check your work by plugging x = 11 into the original equation.
3.3(11 + 1.2) = 40.26
3.3(12.2) = 40.26
40.26 = 40.26
Your answer is correct.
Hope this helps!
Which choice shows the coordinates of C' if the trapezoid is reflected across the y-axis?
A. (-5,3)
B. (3,-5)
C. (5,-3)
D. (-3,5)
Answer:
(5,3)
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
8kg ham costs $12/kg. find the cost per pound.
Answer:
The cost per pound is: $5.45 per pound
Step-by-step explanation:
Given
8kg ham costs $12/kg
To determine
Find the cost per pound
As
1 kg = 2.2 pounds
Weight of 8kg in ponds = 8 × 2.2 = 17.6 ponds
Cost of ham/pound = $12/2.2 pounds
= $5.45 per pound
Thus, the cost per pound is: $5.45 per pound
factor each expression:
12x-8
8x-24
may someone please explain how to do these two problems?
if you spent 6 hours a week studying for English and 2.5 hours studying for math what is the ratio of time spent studying in math to studying for English ?
Answer: If you spend 7 hours a week studying for English, and 4.5 hours studying for math what is the ratio of time spent studying math to studying English?
Math: English
4.5: 7 Now you divide both sides by 4.5 to get 1 on one side
1: 1.555556
So the ratio of time spent studying math to english is 1 to 1.555556. Hope I helped
Question 7
1 pts
Simplify the following expression:
-9(14p - 8) - 4p
-130p + 72
O 122p - 72
0-130p - 18
O 130p - 72
Answer:
Step-by-step explanation:
i
Which expression is equivalent to Oy-3?
O 3ty-1)
O 3(3-1)
O 9(y-3)
O 9(3y-3)
Answer:
3(3y-1)
Step-by-step explanation:
To find out which expression is equivalent, expand and simplify the options listed to see which one equals 9y-3.
Let's try the second option. To simplify the expression, use the distributive property. So, multiply each term in the parentheses by 3:
[tex]3(3y-1)\\= 9y-3[/tex]
Thus, the answer would be the second option.
Please help me out. I will mark brainlist. How do I solve this?
Question 5
10
Simplify the following expression
9 + 5m - 4
Answer:
5m + 5
Step-by-step explanation:
Simplify the expression by collecting like terms
9+5m-4
⬇️
9-4=5
⬇️ (Put back into equation)
5m+5
Sara bought a computer that was originally priced at 896. The computer was on sale for 12% off. When she bought the computer, a 7% tax was added to the sale price. How much did Sara spend on the computer?
Answer: $733.29. Simply because you take $896•0.12 to find the 12% off and then you take that subtracted by the starting total. After you get the 12% off then you multiply that number by .07 to get the sales tax. After you find that then you add the number you got after multiplying to the number you got after taking off the 12%.
Step-by-step explanation: