Answer:
The correct answer is a = 17/9.
Step-by-step explanation:
To begin this problem, we should use the distributive property on the left side of the equation to get rid of the parentheses. This means that we can multiply each term inside the parentheses by the coefficient outside the parentheses. This is modeled below:
3a - 2 = 3/4a + 2 1/4
Next, we should change the mixed number into an improper fraction so that it is easier to work with.
3a - 2 = 3/4a + 9/4
Now, we can multiply both sides of the equation by 4. This is not a required step, but it will get rid of the fractions on the right side of the equation, so we only have to work in full numbers.
12a - 8 = 3a + 9
The next step is to subtract 3a from both sides and add 8 to both sides to separate the variable and constant terms.
12a - 3a - 8 + 8 = 3a - 3a + 9 + 8
9a = 17
Next, we can divide both sides by 9 to get our variable a alone on the left side of the equation.
a = 17/9
Therefore, the correct answer is a = 17/9.
Solve for v.
29 = -8v - 7 +5v
Answer:
v = -12
Step-by-step explanation:
if you combine like terms it is
29 = = -3v - 7
so then you add 7 to both sides
-3v = 36
then you divide both by -3 and you get v = -12
Answer:
v = -12
Step-by-step explanation:
First, add like terms.
29 = -8v - 7 + 5v
29 = -3v - 7
Solve for v:
36 = -3v
-12 = v
So, v = -12
Multiplication is doing what to the same number continuously?
Answer:
mutiplying it
Step-by-step explanation:
it is multiplying it because 2×2=4
Answer:
multiplying the answer
5x+1≤−145x+1≤-14 or −4+6<10-4+6<1
help pls
Answer:
No Solution or 0
Step-by-step explanation:
Combine like terms: constant numbers
Isolate x
Plug back into equation but the answers x=0 and x greater than or equal to 3/29 overlap so no solution.
Simplify to create an equivalent expression. 8−4(−x+5)
Choose 1 answer:
A
4x−12
B
−4x−12
C
4x+13
D
4x+5
Answer:
[tex]8 - 4( - x + 5) = 8 + 4x - 20 = 4x - 12[/tex]
Step-by-step explanation:
the answer is A
If UV = 4x, VW = 3x, and UW = 7, what is UV?
Answer:
4x+3x= 7
7x= 7
x = 1
UV=4 is the solution
The value of UV = 4.
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S.
Parts of an EquationThere are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators. An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables.
Given:
UV = 4x, VW = 3x, and UW = 7
UW= UV + VW
7 = 4x + 3x
7 = 7x
x= 7/7
x=1
Hence, UV = 4
Learn more about equation here:
https://brainly.com/question/10413253
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If my phone bill is calculated using equation c= 50g +75 what is the value and interpretation of the slope of this equation? C= cost and g= gigabytes of data used each month
Answer:
The value of the slope in this equation is 50
The interpretation is that the rate of change in the cost of the phone bill per unit change in gigabytes of data used each month is 50
Step-by-step explanation:
To answer this question, we need to compare the given equation with the equation of a straight line graph.
The equation we have is;
c = 50g + 75
comparing this with the equation of a straight line, we have
y = mx + c
where m represents the slope and c is the y-intercept
So comparing both, the slope of the equation is 50.
The slope is always the co-efficient of the value on the x-axis
So what does this mean?
The slope also called the gradient represents the rate of change of the y-term divided by the rate of change of the x-term. In simpler terms, when we talk of the slope, we mean the rate of change of the y term per the unit change of the x-term.
So what we mean in this case is the rate of change in cost of the phone bill per unit change in gigabytes of data used each month is 50
the correct hand signal to indicate a right turn i
s.
A) Hand and arm extended downward
B) Hand and arm extended backward
c) Hand and arm extended outward
D) Hand and arm extended upward
answer: D) hand and arm extended upward
Answer:
D) hand and arm extended upward ...
is your answer
d) hand and arm extended upward...
Answer:
The answer is
Step-by-step explanation:
D option.
Hope this helps....
Have a nice day!!!
Will mark brainliest!!
Answer:
22x + 1Step-by-step explanation:
It usually works best for factoring to remove any common factors from the coefficients. Here, they are all even numbers, so have a common factor of 2. After taking that out, you have ...
2(4x² -4x -3)
To factor this, you are looking for factors of (4)(-3) that have a sum of -4.
-12 = 1(-12) = 2(-6) = 3(-4)
These pairs have sums of -11, -4, -1. So, we are interested in the factors 2 and -6. We can use those to rewrite the middle term, then factor by pairing.
= 2(4x² +2x -6x -3) = 2((2x(2x+1) -3(2x+1)) = 2(2x -3)(2x +1)
Of these, the factors that are on your list of choices are ...
22x + 1a = 5 b = 7 calculate the value of 3AB
Answer:
105Step-by-step explanation:
[tex]a = 5\\ b = 7 \\3ab = ?\\[/tex]
Plug in the given values for a and b into the equation ;
[tex]3(5)(7)\\\\= 3(35)\\\\=105[/tex]
simplify the expression 4(2x-1)-3(x+5)
Answer:
The answer is
5x - 19Step-by-step explanation:
4(2x-1) - 3(x+5)
Expand the terms in the bracket
That's
8x - 4 - 3x - 15
Group like terms
We have
8x - 3x - 4 - 15
We have the final answer as
5x - 19Hope this helps you
If RT = 36, find the value of x.
RS: 6x+1. ST:x+7
Answer:
x = 4
Step-by-step explanation:
RT = RS + ST
RT = 36
RS + ST = 36
6x + 1 + x + 7 = 36
6x + x + 1 + 7 = 36 {Combine like terms}
7x + 8 = 36 {Subtract 8 from both sides}
7x + 8 - 8 = 36 - 8
7x = 28 {Divide both sides by 7}
7x/7 = 28/7
x = 4
3x + y = 6
4r + 2y = 8
Answer:
Step-by-step explanation:
3x + y = 6
4x + 2y = 8
-6x - 2y = -12
4x + 2y = 8
-2x = - 4
x = 2
3(2) + y = 6
6 + y = 6
y = 0
(2,0)
A school donated 283,482 cans of soup to a food kitchen if the food kitchen used 20000 cans of soup each month how many months can the foood kitchen make soup with the school donation
Answer:
14 months
Step-by-step explanation:
Here we are interested in calculating the number of months it will take the food kitchen to exhaust the 283,482 soup cans donated to it by a school of it uses 20,000 cans of soup.
This is pretty straightforward, trust me!
What needs to be done here is to simply divide the total number of soup cans donated by the school by the number of soup cans used by the food kitchen each month.
Mathematically, that would be;
283,482/20,000
A calculator would work here? Right?
And the division equals 14.1741
And to the nearest whole number, that is 14.
And yes there would surely be some left, carried over to the 15th month, but would that sustain them for the month? No
4n-3=-2n+15 I need help finding the answer to this question
Lauren has a bouquet of flowers.
1/5 of the flowers are red
3/10 of the flowers are white
The rest of the flowers are yellow
Lauren’s bouquet has 18 yellow flowers. How many flowers are included in her bouquet
Answer:
There are a total of 36 flowers in the bouquet.
Step-by-step explanation:
1/5 + 3/10 = 1/2 when simplified. So half of her flowers are yellow and the other half is red and white. Sence Lauren has 18 yellow flowers then there must be a total of 18 red and white flowers. So 18 + 18= 36.
Ethan plotted points E, F, G, H, and I on a number line, as shown below. Which two points that Ethan plotted represent numbers that have a sum of 0? Explain how you got your answer
Answer:
F and H
Step-by-step explanation:
From the image attached, the location of the points are E = -9, F = -6, G = -2, H = 6, I = 8. The law of additive inverse states that for a number a, its additive inverse is a number that when added to a equals to zero. This number is usually opposite in sign to a and of the same magnitude i.e -a. The law is given as:
a + (-a) = 0
From the points, F is the additive inverse of H, hence:
F + H = 0
6 + (-6) = 6 - 6 = 0
Hence the two points are F ad H
Find f(-6) for f(x) = x² - 4x + 5. Be sure to show
your work.
substitute [tex]-6[/tex] in the equation:
[tex]f(x)=x^{2} -4x+5,\\f(-6)=(-6)^{2} -4(-6)+5\\f(-6)=36+24+5\\f(-6)=\boxed{65}[/tex]
(10,000 . x⁻⁴ . y³)³/⁴
Plz answer now
I will mark brainliest
Termites live in the tropical rainforest breaking down dead and decaying plant material. As they break down the plant material they release methane, a greenhouse gas. Annually, 1,000 termites release approximately 500 grams of methane. Given a density of 3.5 X 106 termites per hectare, what is the annual amount of methane released, in kilograms, by the termites inhabiting a 3,000 hectare of tropical rainforest.
Answer:
Approximately 5,250,000 kg of methane would be released.
Step-by-step explanation:
Given: 1,000 termites release approximately 500 g of methane annually
3.5 x [tex]10^{6}[/tex] termites per hectare
Thus, population of termites inhabiting 3,000 hectares = number of termites per hectare x 3,000
= 3.5 x [tex]10^{6}[/tex] x 3,000
= 10 500 000 000
= 1.05 x [tex]10^{10}[/tex]
Since 1,000 termites release 500 g of methane, then 10 500 000 000 termites would release:
[tex]\frac{10500000000}{1000}[/tex] x 500 g
= 5250000000 g
But 1000 g = 1 kg, so that;
[tex]\frac{5250000000}{1000}[/tex]
= 5250000 kg
Approximately, 5,250,000 kg of methane would be released by termites inhabiting 3,000 hectares of tropical rain forest.
there are 4 cups in a quart and 4 quart in a gallon. how many cups are in a 5- gallon jug of water?
Answer:
16 cups
Step-by-step explanation:
Answer:
16 is the answer
7
10 points
Which statement is true?
O 65 is between 6 and 7 on a number line
65 is between 7 and 8 on a number line
142 is between 11 and 12 on a number line
5142 is between 14 and 15 on a number line
5 point
I need help with this question
Answer:
[tex]\frac{1}{5}[/tex] is the answer
Step-by-step explanation:
[tex]h(x)=\frac{x+3}{5} \\[/tex]
Substituting the -2 in place x
Therefore , h(-2) :
[tex]\frac{(-2)+3}{5} \\\frac{-2+3}{5}\\\frac{1}{5}[/tex]
Answer:
[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]
[tex]h(x) = \frac{ x + 3}{5} [/tex]
value of X is given to us -2
so put it in the equation.
[tex]h(x) = \frac{ - 2 + 3}{5} [/tex]
[tex]h(x) = \frac{1}{5} [/tex]
so the value of x is 1/5
Hope it helps
Miguel's family sells baskets of berries at the farmers' market. This list shows the weights of some of their baskets. What is the combined weight of all the baskets that weigh exactly 1 1 4 pounds?
Answer:
The combined weight of all the basket is 9 pounds.
Step-by-step explanation:
Given that,
Weight of berries [tex]W=1\dfrac{1}{4}\ pounds[/tex]
[tex]W=\dfrac{5}{4}\ pounds[/tex]
Suppose, The weights of some of their baskets are ,
Weight of first basket with berries = 2 pound
Weight of second basket with berries = 3 pound
Weight of third basket with berries = 4 pound
Weight of fourth basket with berries = 5 pound
We need to calculate the weight of first basket
Using formula for weight
[tex]W_{b}=W_{b+be}-W_{be}[/tex]
Where, [tex]W_{b+be}[/tex] = weight of basket with berries
[tex]W_{b}[/tex] = weight of basket
[tex]W_{be}[/tex] = weight of berries
Put the value into the formula
[tex]W_{b}=2-\dfrac{5}{4}[/tex]
[tex]W_{b}=\dfrac{8-5}{4}[/tex]
[tex]W_{b}=\dfrac{3}{4}\ pounds[/tex]
Similarly,
We need to calculate the weight of second basket
Using formula for weight
[tex]W'_{b}=W_{b+be}-W_{be}[/tex]
Put the value into the formula
[tex]W'_{b}=3-\dfrac{5}{4}[/tex]
[tex]W'_{b}=\dfrac{12-5}{4}[/tex]
[tex]W'_{b}=\dfrac{7}{4}\ pounds[/tex]
We need to calculate the weight of third basket
Using formula for weight
[tex]W''_{b}=W_{b+be}-W_{be}[/tex]
Put the value into the formula
[tex]W_{b}=4-\dfrac{5}{4}[/tex]
[tex]W_{b}=\dfrac{16-5}{4}[/tex]
[tex]W_{b}=\dfrac{11}{4}\ pounds[/tex]
We need to calculate the weight of fourth basket
Using formula for weight
[tex]W_{b}=W_{b+be}-W_{be}[/tex]
Put the value into the formula
[tex]W_{b}=5-\dfrac{5}{4}[/tex]
[tex]W_{b}=\dfrac{20-5}{4}[/tex]
[tex]W_{b}=\dfrac{15}{4}\ pounds[/tex]
We need to calculate the combined weight of all the basket
On adding weight of all basket
[tex]W= W+W'+W''+W'''[/tex]
Put the value into the formula
[tex]W=\dfrac{3}{4}+\dfrac{7}{4}+\dfrac{11}{4}+\dfrac{15}{4}[/tex]
[tex]W=9\ pounds[/tex]
Hence, The combined weight of all the basket is 9 pounds.
A falcon flew 70 miles in 3 hours. What was the speed of the falcon? speed = distance over time ; 1 mile = 1609 meters the answer is not 23.3
Answer:10.4
Step-by-step explanation:
There are a lot of information's that are already given in the question. Based on these information's the answer can be deduced.
1 mile = 1609 meters
Then
70 miles = 1609 * 70 meters
= 112630 meters
again
1 hour = 3600 seconds
3 hours = 3600 * 3 seconds
= 10800 seconds
So
Speed = 112630/10800 meters/second
= 10.4 meters per second.
So the falcon was flying at a speed of 10.4 meters per second.
Determine whether each ordered pair is a solution of y = 3x-5. (2,2) (4,7) (6,13) (5,10)
Answer:
(4,7), (6,13), and (5,10)
Step-by-step explanation:
To determine if an ordered pair is a solution, substitute the coordinates in and check to see if they are true:
(2,2)
[tex]y=3x-5\\(2)\stackrel{?}{=}3(2)-5\\2\stackrel{?}{=}6-5\\2\neq1[/tex]
Thus, (2,2) is not a solution.
(4,7)
[tex]y=3x-5\\(7)\stackrel{?}{=}3(4)-5\\7\stackrel{?}{=}12-5\\7\stackrel{\checkmark}{=}7[/tex]
Thus, (4,7) is a solution.
(6,13)
[tex]y=3x-5\\(13)\stackrel{?}{=}3(6)-5\\13\stackrel{?}{=}18-5\\13\stackrel{\checkmark}{=}13[/tex]
Thus, (6,13) is also a solution.
Lastly, (5,10)
[tex]y=3x-5\\10\stackrel{?}{=}3(5)-5\\10\stackrel{?}{=}15-5\\10\stackrel{\checkmark}{=}10[/tex]
Thus, (5,10) is also a solution.
Please help me on this question
Answer: The filled out table is shown below
========================================================
Explanation:
We have three variables p,q, and r. So we'll have 2^3 = 8 different rows as this table indicates. The 8 rows is to ensure that we handle all possible T/F values for the three variables.
This is where things could get tricky, but I recommend listing four copies of T in the first column, and then four copies of F right below it. That takes care of column p. For column q, we'll have two copies of TTFF to get 8 values total. Then finally column r will have four copies of T,F repeated. This takes care of all possible combos to help fill out the rest of the table.
---------------
For the column labeled ~p, we'll basically flip everything you see in column p. If something is true, then flip it to false, or vice versa. This is the negation of p. The same will go for the ~r column as well.
For the ~p v q column, we'll do a disjunction between ~p and q. A disjunction is only false when both pieces are false; otherwise it's true. So ~p v q is only false when both ~p and q are together false. The v symbol stands for "or".
The last column is doing a conjunction between the (~p v q) column and the ~r column. A conjunction is only true when both pieces are true; otherwise it's false. It's effectively the reverse of a disjunction. The upside down v symbol stands for "and".
Again the filled out table is shown below. It might help to use a piece of paper to cover up some of the rows if things get too cluttered.
25 POINTS this is an equation -3(2x-1) plz help asap
Answer:
-6x + 3
Step-by-step explanation:
-3(2x - 1)
We use distributive property
so we mulitply the number that is outside of the paraenthesis (-3), to the numbers on the inside (2x - 1)
-3 × 2x = -6x
-3 × -1 = 3
So we have:
-6x + 3
And we cannot combine them so that is the answer.
Hope that helped!
Whats the answer for 2x-3=-x+3? I also need to see the steps because Im lost and I dont understand how to get the answer.
Answer:
Solving for 2x - 3 = -x + 3
Standard form:
3x − 6 = 0
Factorization:
3(x − 2) = 0
Solutions:
x = 6
3
= 2
Step-by-step explanation: Think my Answer is Wrong or Right? Let me know!
Answer:
x = 6
Step-by-step explanation:
We know:
2x - 3 = x +3
Rearrange the equation:
2x - x = 3 + 3
Combine like terms:
1x = 6
Divide:
x = 6
The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers. If a player answered 404040 questions and obtained a score of 505050, how many questions did the player answer correctly
Answer:
30
Step-by-step explanation:
A player answers x correct questions and y incorrect questions for a total of 40 questions.
x + y = 40
The score is obtained by subtracting y incorrect answers from two times the x of correct answers. The player's score is 50.
2x - y = 50
Use substitution to solve. Rearrange the first equation so that it is equal to y. Then, substitute the y-value into the second equation.
x + y = 40
y = 40 - x
2x - y = 50
2x - (40 - x) = 50
2x - 40 + x = 50
3x - 40 = 50
3x = 90
x = 30
Since x was made to represent correct answers, the player had 30 correct answers.
PLEASE HELP: Complete the equation of a line through (-10, -7) and (-5, -9).
Answer:
find slope m
m=y2-y1/x2-x1
m=-9-(-7)/-5-(-10)
m=-9+7/-5+10
m=-2/5
y=-2/5 x+b ( find b at point (-10,-7)
-7=-2/5(-10)+b
-7=20/5+b
b=-7-4
b=-11
y=-2/5 x -11 slope intercept form
y-(-7)=-2/5(x-(-10)
y+7=-2/5(x+10) point slope form