13. (07.05 MC) What is the solution to the equation 5x + 2(x - 4) = 5x + x - 10? (1 point) O
Answer:
x = -2
Step-by-step explanation:
5x + 2(x - 4) = 5x + x - 10
First, we need to to multiply out the parathesis in the equation:
5x + 2(x - 4) = 5x + x - 10
5x + 2x - 8 = 5x + x - 10
Next, we can combine "like terms" to simplify the equation further:
5x + 2x - 8 = 5x + x - 10
7x - 8 = 6x - 10
Now we can isolate the variable "x" to one side:
7x - 8 = 6x - 10
x - 8 = -10
x = -2
To check our work, we can replace x with -2 in our original equation:
5x + 2(x - 4) = 5x + x - 10
5(-2) + 2 (-2 - 4) = 5(-2) + -2 - 10
-10 + 2 (-6) = -10 -2 - 10
-22 = -22
I hope this helps!
-TheBusinessMan
y=−2x+1
x−3y=11 find the solution using elimination.
Answer:
Step-by-step explanation:
Using first equation in the second gives you
x-3(-2x+1)=11
x+6x-3=11
7x-3=11
7x=14
x=2, making y=-2x+1 become
y=-2(2)+1
y=-4+1
y=-3 so the solution is the point
(2,-3)
PLEASE HELP I ATTACHED A PICTURE
Answer:
option 2
Step-by-step explanation:
x is going away from 7 in a positive direction which means greater than. the fact that it is just greater than not equal to means that there is a black circle instead of a filled in one because it excludes that number.
Answer:
Option 2
Step-by-step explanation:
If the inequality is "x > 7" it means that if it was to be represented on a number line, all values that "c" could possibly take would be located to the right (on the number line) of 7. Now there only two options that follow this statement, those options are options 2 and 4. But there is another thing we must understand. x must be larger than 7 (it can not be equal to 7), therefor option 2 is right since it follows the second statement while option 4 would represent inequality "x ≥ 7".
The area of the cirle is: | I
10 in
Answer:
Step-by-step explanation:
diameter = 10 in
radius = 5 in
area = π5² = 25π ≅ 78.5 in²
If 2.22 moles of ammonia (NH3 ) decomposes according to the reaction shown, how many moles of hydrogen (H2 ) are formed? A. 1.11 moles of H2 B. 3.33 moles of H2 C. 6.66 moles of H2 D. 2.22 moles of H2
Answer:
C. 3.33 moles
Step-by-step explanation:
Ammonia decomposes
[tex]2NH_3\rightarrow N_2+3H_2[/tex]
We have to find the moles of hydrogen formed in 2.22 moles of ammonia.
From the reaction
2 moles of ammonia gives 3 moles of hydrogen
1 mole of ammonia produce hydrogen=3/2 moles
2.22 moles of ammonia produces hydrogen=[tex]\frac{3}{2}\times 2.22[/tex] moles
Number of moles of hydrogen formed by decomposition of 2.22 moles of ammonia
=[tex]\frac{6.66}{2}=3.33[/tex]moles
Hence, 3.33 moles of hydrogen are formed in 2.22 moles of ammonia.
Option C is true.
C. 3.33 moles
pls help :(
more than one answer btw
Answer:
A, C, E
Step-by-step explanation:
hope this helps!
Answer:
I think it is A, C, E
Step-by-step explanation:
Exercise 2.4.2: Proving statements about rational numbers with direct proofs. About Prove each of the following statements using a direct proof. (a) The product of two rational numbers is a rational number. Solution (b) The quotient of a rational number and a non-zero rational number is a rational number. Solution (c) If x and y are rational numbers then is also a rational number.
Answer:
See Explanation
Step-by-step explanation:
(a) Proof: Product of two rational numbers
Using direct proofs.
Let the two rational numbers be A and B.
Such that:
[tex]A = \frac{1}{2}[/tex]
[tex]B = \frac{2}{3}[/tex]
The product:
[tex]A * B = \frac{1}{2} * \frac{2}{3}[/tex]
[tex]A * B = \frac{1}{1} * \frac{1}{3}[/tex]
[tex]A * B = 1 * \frac{1}{3}[/tex]
[tex]A * B = \frac{1}{3}[/tex]
Proved, because 1/3 is rational
(b) Proof: Quotient of a rational number and a non-zero rational number
Using direct proofs.
Let the two rational numbers be A and B.
Such that:
[tex]A = \frac{1}{2}[/tex]
[tex]B = \frac{2}{3}[/tex]
The quotient:
[tex]A / B = \frac{1}{2} / \frac{2}{3}[/tex]
Express as product
[tex]A / B = \frac{1}{2} / \frac{3}{2}[/tex]
[tex]A / B = \frac{1*3}{2*2}[/tex]
[tex]A / B = \frac{3}{4}[/tex]
Proved, because 3/4 is rational
(c) x + y is rational (missing from the question)
Using direct proofs.
Let x and y be
Such that:
[tex]x = \frac{1}{2}[/tex]
[tex]y = \frac{2}{3}[/tex]
The sum:
[tex]x + y = \frac{1}{2} + \frac{2}{3}[/tex]
Take LCM
[tex]x + y = \frac{3+4}{6}[/tex]
[tex]x + y = \frac{7}{6}[/tex]
Proved, because 7/6 is rational
The above proof works for all values of A, B, x and y; as long as they are rational values
Find the pattern and use it to list the next two terms in the sequence.
-3,6,-28,72,-360,2160, ___ ,___
Answer:
Step-by-step explanation:
a₁ = -3 = (-1)¹×3
a₂ = 6 = (-1)²×2×3
a₃ = -28 = (-1)³×2²×7
a₄ = 72 = (-1)⁴×2³×3²
a₅ = -360 = (-1)⁵×2³×3²×5
a₆ = 2160 = (-1)⁶×2⁴×3³×5
That's as far as I got. I can predict that a₇ is a multiple of -32 and a₈ is a multiple of 64, but I don't see the pattern with the other factors.
Find the y-intercept for the parabola defined by
this equation:
y=x^2 + 8x + 12
Separate the values with a comma.
Pls help 20 points this question is for my friend
Answer:
750 cubic feet
Step-by-step explanation:
Pls help I’ll brainlest
Answer:
8
Step-by-step explanation:
Jeremiah bought x toy sets for $20 each and then a video game for $60. Jeremiah spent a total of $220. How may toy sets did he buy?
To find our answer, we can solve the equation:
20x + 60 = 220
-60 -60
20x = 160
/20 /20
x = 8
Jeremiah bought 8 toy sets!
I hope this helps :)
Solve the formula A=2πrh+2πr2 for h.
Answer:
h = (A - 2πr²)/(2πr)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
A = 2πrh + 2πr²
Step 2: Solve for h
[Subtraction Property of Equality] Subtract 2πr² on both sides: A - 2πr² = 2πrh[Division Property of Equality] Divide 2πr on both sides: (A - 2πr²)/(2πr) = hRewrite/Rearrange: h = (A - 2πr²)/(2πr)Malcolm buys a 5/6-pound bag of black beans and a 3/4-pound bag of pinto
Answer:
1 7/12Step-by-step explanation:
I think that you want to know how many total pounds of beans do you have.
Well, to find this, simply find the LCM of 6 and 4. That is 12.
So convert the fractions to have a denominator of 12.
10/12, 9/12
Now add:
(10+9)/12 = 19/12 = 1 7/12
PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE HELP ME WILL GIVE BRAILIST
Answer:
a) 24[tex]ft^2[/tex]
b) 52ft
Step-by-step explanation:
a)
This question asks to find the capacity of the container. This is essentially asking what the volume of the container is. This can be done by multiplying the length by the width by the height.
4 * 2 * 3
= 24
b)
This question is asking how much material was used to make the prism. This is essentially asking what the surface area of the prism is. This can be found by finding the area of all the sides of the prism and then adding it up. Since it is a rectangular prism, opposite faces are congruent, hence one only has to find the area of three faces, add it up, then multiply it by two to find the answer.
2 ( 4 * 2 ) + 2 ( 3 * 4 ) + 2 ( 2 * 3 )
= 2(8) + 2(12) + 2(6)
= 16 + 24 + 12
= 52
Factorise
x^2 - 5x - 6
Answer:
(x+1)(x-6)
thats the ans :)
Factorise fully 18j + 30jk
Answer:
6j(5k+3)
Step-by-step explanation:
18j+30jk
Factor out 6.
6(3j+5jk)
Consider 3j+5jk. Factor out j.
j(3+5k)
Rewrite the complete factored expression.
6j(5k+3)
What decimal does the model represent?
The model below is shaded to represent 2
A 25.6
2.056
2.56
0.256
Answer:
2.56
Step-by-step explanation:
Help person right gets brainlist
which graph represents the inequality x > 15
Answer:
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Algebra roller coaster building it most state from the ground and it have to be 100ft
Answer:
sa taas nito ay 50 square meter kung pagbabasihan mo sa ibaba 55 square meter malaki rin sa baba kaya ang tawag dyaan ay centementer
I hope I can help you and give me a star even if I am only 5 or 4 stars and please put a heart for many
Which of the following are accurate factors of 4x2 + 5.0 – 21 when multiplied together? Select the two correct answers.
(2 points)
(40 - 7)
0 (x + 2)
(52 -3)
0 (+3)
Answer:
First and last
Step-by-step explanation:
(4x - 7) (x + 3)
FOIL
4x^2 + 5x - 21
Dara:240g
Brüt kütle:760g
Net Kütle:.....g
işlem:
Answer:
Net Mass = 520 g
Step-by-step explanation:
Given:
Waste = 240 g
Gross mass = 760 g
Find:
Net Mass
Computation:
Net Mass = Gross mass - Waste
Net Mass = 760 g - 240 g
Net Mass = 520 g
Can you guys help me and answer this math question below please I’ll mark brainliest to whoever answers
Answer:
Your answer will be (2,4) :)
Security A rounds every 2 minutes and 20 seconds in the gate 1. Security B rounds every 1 minute and 40 seconds in the gate 2. If they conduct rounds at the same time. After how many minutes they will rounds together again?
Answer:
[tex]Time = 11\frac{2}{3}\ min[/tex]
Step-by-step explanation:
Given
[tex]Security\ A = 2\ mins, 20\ secs[/tex]
[tex]Security\ B = 1\ mins, 40\ secs[/tex]
Required
After how many minutes, will they round together
First, convert the given time to minutes
[tex]Security\ A = 2\ mins, 20\ secs[/tex]
[tex]Security\ A = 2\ mins+ 20\ secs[/tex]
[tex]Security\ A = 2\ mins+ \frac{20}{60}\ min[/tex]
[tex]Security\ A = 2\ mins+ \frac{1}{3}\ min[/tex]
[tex]Security\ A = 2\frac{1}{3}\ min[/tex]
[tex]Security\ B = 1\ mins, 40\ secs[/tex]
[tex]Security\ B = 1\ mins+ 40\ secs[/tex]
[tex]Security\ B = 1\ mins+ \frac{40}{60}\ min[/tex]
[tex]Security\ B = 1\frac{2}{3}\ min[/tex]
So, we have:
[tex]Security\ A = 2\frac{1}{3}\ min[/tex]
[tex]Security\ B = 1\frac{2}{3}\ min[/tex]
List out the multiples of the time of both security personnel take round.
[tex]Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...[/tex]
[tex]Security\ B = 1\frac{2}{3}min,\ 3\frac{1}{3}min,\ 5min,\ 6\frac{2}{3}min,\ 8\frac{1}{3}min,\ 10min\ ,11\frac{2}{3}min,...[/tex]
In the above lists, the common time is:
[tex]Time = 11\frac{2}{3}\ min[/tex]
This implies that they go on round after [tex]11\frac{2}{3}\ min[/tex]
(please answer thank you!)
The cost of a hamburger is $1.15 more than an order of large fries. Bill bought two hamburgers and an order of fries for a total of $8.60. What is the price of each item? Give your answer in full sentences.
Answer:
The order of large fries costs $ 2.10, while each hamburger costs $ 3.25.
Step-by-step explanation:
Given that the cost of a hamburger is $ 1.15 more than an order of large fries, and Bill bought two hamburgers and an order of fries for a total of $ 8.60, to determine what is the price of each item, the following calculation must be performed:
X + X + 1.15 + X + 1.15 = 8.60
3X + 2.30 = 8.60
3X = 8.60 - 2.30
X = 6.30 / 3
X = 2.10
Thus, each order of large fries costs $ 2.10, while each hamburger costs $ 3.25.
Which statement describes the graph
Answer:
Your answer is A
Step-by-step explanation:
I hope I helped :)
15=1.5t
Solve the equation for the variable. Remember to write t= when you write your answer!
Answer:
t = 10
Step-by-step explanation:
15 = 1.5 × t
15/1.5 = t
10 = t
mark me as brainlistIn a bag, there are ten identical balls, numbered 1 to 10. You let two persons, each pick one ball from the bag. Suppose the person who gets ball of 10 can get some reward, so each one prefers to get ball of 10. As we easily know, the probability of getting ball 10 for first person is 1/10. What is the probability of getting ball 10 for second person
Triangle ABC is shown below.
What is the cosine of angle B?
The cosine of angle ∠B will be 3 / 5. Then the correct option is C.
What is trigonometry?The connection between the lengths and angles of a triangular shape is the subject of trigonometry.
The cosine of the angle θ is the ratio of the side adjacent to the angle and the longest length of the triangle which is the hypotenuse.
cos θ = base / hypotenuse
Triangle ABC is shown below. The side BC is base which is equal to 3. And the side AB is hypotenuse which is equal to 5.
Then the cosine of the angle ∠B will be given as,
cos θ = base / hypotenuse
cos B = 3 / 5
The cosine of angle ∠B will be 3 / 5. Then the correct option is C.
More about the trigonometry link is given below.
https://brainly.com/question/22698523
#SPJ2
Kevin is driving on a long road trip. He currently has 11 gallons of gas in his car. Each hour that he drives, his car uses up 1.75 gallons of gas. How much gas would be in the tank after driving for 5 hours? How much gas would be left after t hours?
Answer:
He would have 2.75 gallons left after 5 hours.
Step-by-step explanation: