Question 7 of 10
What is the solution to this equation?
3(4x+3) = 2x - 5(3 - x) + 2
4
O A. x=-
15
10
O B. x=-22
O
5
O x-
O c. x - 22
15
O x
O D. x = -1
5
Answers
Answer:
Option BStep-by-step explanation:
Given Equation :
[tex] \qquad \sf \dashrightarrow \: 3(4x+3) = 2x - 5(3 - x) + 2[/tex]
Using distribute property:
[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 2x - 15 + 5x + 2[/tex]
Adding the like terms we get :
[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 2x + 5x - 15 + 2[/tex]
[tex]\qquad \sf \dashrightarrow \: 12x + 9 = 7x - 13[/tex]
Transposing the variables on the right side and constant terms on the left side :
[tex]\qquad \sf \dashrightarrow \: 12x - 7x = - 13 - 9[/tex]
[tex]\qquad \sf \dashrightarrow \: 5x = - 22[/tex]
Dividing both sides by 5 :
[tex]\qquad \sf \dashrightarrow \: \dfrac{5x}{5} = \dfrac{ - 22}{5} [/tex]
[tex]\qquad \bf \dashrightarrow \: x = \dfrac{ - 22}{5} [/tex]
Related Questions
Find the missing angle
Answers
Answer:
Step-by-step explanation:
2x + 3x = 90
5x = 90
Divide both sides by 5
x = 90/5
x = 18
Angles are: 3x = 3*18 = 54°
2x = 2*18 = 36°
8. (-12v + 3) + (8v – 7)
Answers
-4(v+1)
hope this works i looked it up and this is what i got
Answer:
-4( v+1)
Step-by-step explanation:
(-12v + 3) + (8v - 7)
-12v + 3 + 8v - 7
-4v - 4
-4 (v+1)
What is the sum of the polynomials (-x^2+9) + (-3x^2-11x+4)
Answers
Answer:
Step-by-step explanation:
The sum of the polynomials (-x2 + 9) + (-3x2 - 11x + 4) is -4x2 - 11x - 5.
Help me understand this is confusing
Answers
2✅5
Answer:
2√5
Step-by-step explanation:
(1/2) √80
Figure out the biggest number that can be squared by 80 in this case it's 16
(1/2) √(16 x 5)
since the square root of 16 is 4 put the 4 on the outside and leave 5 in since it can't be squared.
(1/2) 4√5
multiply (1/2) by 4 which equals 2
2√5
I hope this helps!
help me pls thank you so much <3
Find f(3)
Answers
Answer:
8
Step-by-step explanation:
use second equation because it contains values as {4,5,6}
in other to get X to be 3 we have to divide 6 by 2 and replace in the equation
f (6÷2)= -(6÷2)+11
=-3 +11
=8
I bought x cans of fruit cocktail and two more cans of mushrooms than cans of fruit cocktail. A can of mushrooms cost $.80 and a can of fruit cocktail cost $.90. How much money did I spend?
Answers
Answer:
0.9x + 0.8(x + 2)
Step-by-step explanation:
# of cans of fruit cocktail: x
# of cans of mushrooms: 2 more than x, or x + 2
$ of can of mushroom: $0.80
$ of can of fruit cocktail: $0.90
To find out how much money you spent, you need to multiply the # of cans by their respective prices. Therefore:
The price of the cans of fruit cocktail = 0.90 * x
= 0.9x
The price of the cans of mushrooms = 0.80 * (x + 2)
= 0.8(x + 2)
Total price = 0.9x + 0.8(x + 2)
A car company is designing a car that uses 12% less steel than
its current model. If the current model uses 1,500 pounds of
steel, how much steel will the new car model use?
Answers
Answer:
180 pound
Step-by-step explanation:
percentage:the value of 12%
12% of 1500 pounds12/100 × 150018,000/100180much steel will the new car model use is 180 pound
WHO CAN FILL IN THE VALUES OF THE TABLE. i dont understand. please, please help.
If you can also tell me what "employment-to-population ratio" is, what "labor force participation rate" is, "unemployment rate" all using the values of the table, i will make you brainiest.
Answers
Answer:
Total Population = Young & Institutionalized + Working Age Population
Working-Age Population = Labor Force + Not in the Labor Force
Labor Force = Employed + Unemployed
Total population = 400
Working Age Population = 300
Young & Institutionalized = 100
Not in Labor Force = 100
Labor Force = 200
Employed = 150
Unemployed = 50
Employment-population ratio = (Employed ÷ Working Age Population) x 100%
= (150 ÷ 300) × 100%
= 50%
Labor force participation rate = (Labor Force ÷ Working Age Population) x 100%
= (200 ÷ 300) × 100%
= 66.7% (nearest tenth)
Unemployment rate = (Unemployed ÷ Labor Force) x 100%
= (50 ÷ 200) x 100%
= 25%
Use the Pythagorean Theorem to
find the distance between
(1,1) & (-5,-4)
Answers
Answer:
Use the formula which is shown above.
Suppose that the water level of the McBride River is at 34 feet above flood stage and that it is receding
(going down) at a rate of 0.3 ft per day.
Write a linear equation to represent the how far the McBride River is above flood stage.
Answers
Answer:
y= -0.3x + 34
Step-by-step explanation:
y=mx+b
y= -0.3x + 34
Expand
(1 + x)(x^2 - 5x- 6)
Answers
Answer:
x3−4x2−11x−6
Stp-by-step explanation:
(1+x)(x2+−5x+−6)
=(1)(x2)+(1)(−5x)+(1)(−6)+(x)(x2)+(x)(−5x)+(x)(−6)
=x2−5x−6+x3−5x2−6x
=x3−4x2−11x−6
how do you do this?
Answers
========================================================
Explanatoin:
There are a number of ways to do this type of problem. One way is to divide the figure as shown in the diagram below. See the attached image.
I'm splitting the irregular shape into two rectangles and a triangle.
The upper rectangle is 10 miles by 9 miles to get an area of 10*9 = 90 square miles. Let A = 90 so we can use it later.
The lower rectangle is 4 miles by 19 miles. Its area is 4*19 = 76 square miles. Let B = 76.
The total vertical height of the figure is 9+4+10 = 23 miles.
Notice along the column that has "8 miles" up top over "9 miles" down below, we have a gap of some distance which I'll call x. This x adds to 8 and 9 to get the 23 mentioned.
x+8+9 = 23
x+17 = 23
x = 23-17
x = 6
This helps find the height of the triangle which is 9+x = 9+6 = 15 miles.
The triangle has a base of 9 miles.
The area of the triangle is base*height/2 = 9*15/2 = 135/2 = 67.5 square miles. Let C = 67.5
--------------
We found that:
A = 90 = area of the upper rectangleB = 76 = area of the lower rectangleC = 67.5 = area of the triangleThe total area is: A+B+C = 90+76+67.5 = 233.5 square miles.
Which function is shown in the graph below?
Answers
Answer:
B
Step-by-step explanation:
From the graph, we know when x -> -∞, y -> 3
Note x -> -∞, 2^x -> 0
so only A and B may be right.
Note y-intercept is 7 when x = 0, so only B is right
Gabe is in a hot air balloon that has taken off and is floating now 7 meters above it's launching point. Adele is standing on the ground, 6 meters away from the launching point. How far apart are Gabe and Adele? If necessary, round to the nearest tenth.
[I need help]
c^{2} = b^{2} +a^{2}
use a right triangle
Answers
Answer:
9.2 m
Step-by-step explanation:
The right triangle model is shown in the attachment. The lengths 6 m and 7 m are the legs of the triangle, and the requested distance is the hypotenuse. The given Pythagorean theorem equation can be used to find the desired distance:
c² = a² +b²
c² = 7² +6² = 49 +36 = 85
c = √85 ≈ 9.2
Gabe and Adele are about 9.2 meters apart.
I need some help with this math problem
Answers
Step-by-step explanation:
15 long
12 wide
10 high
we need all for walls
hight times length two times ( these are the front and back walls )
hight times width two times ( These are the side walls )
the roof is
width times length (only once as only the ceiling)
same measurement as the floor
can you work it out with that
please mark brainiest
I will mark brainlyist if correct Please help!
Answers
Answer: C: 5r + 12
Step-by-step explanation:
2(3r + 7) - (2 + r)
6r + 14 - 2 - r
5r + 12
Find y-intercept for y= (x+2)(x-5)
Answers
Answer:
y = -10
Step-by-step explanation:
To find the y-intercept, substitute x=0.
y= (0+2)(0-5)
Then, solve the equation for y.
y = -10
If 32 − x = 16, what is the value of x?
Answers
Answer:
32-16=x
x=16 that's your answer
Answer ๑•ᴗ•๑
[tex]32 - x = 16 \\ - x = 16 - 32 \\ - x = - 16 \\ x = 16[/tex]
Which values are solutions to the inequality x < 15
Answers
Answer:
{x|x<15}
Step-by-step explanation:
all real numbers less than 15
pls brainliest im hardstuck ambitious
solve using the zero product property:
10x^2 - 13x = 3
with explanation pls; will give brainliest
answer should be: -1/5 and 3
Answers
10x^2 - 13x = 3 a = 10, b = -13, c = -3 (quadratic formula? icba to write it sos!!)
-3 both sides
10x^2 - 13x - 3 = 0 -3 x 10 = -30 (products of -30 and equal to -13 are 15, -2 (so we use this))
10x^2 - 2x + 15x - 3 = 0
factorising now
2x (5x - 1) + 3 (5x - 1)
the brackets have to be the same
(2x + 3) (5x - 1)
2x - 3 = 0 ——— 5x + 1 = 0 (switch the signs forgot y tbf)
add 3 to both sides ——— minus 1 on sides
2x = 3 ——— 5x = -1
divide by 2 both sides ——— divide both by 5
x = 3/2 ——— x = -1/5
naw cus I spent so long on this for the answer to be wrong dam-n
please
Find the slope and the y -intercept of the graph of the linear equation.
-2x+y = 4
The slope is (Answer here)
and the y-intercept is (Answer here)
Answers
Answer:
Slope is 2, and the y-intercept is (0, 4).
Step-by-step explanation:
-2x+y=4
y=4-(-2x)
y=4+2x
y=2x+4
y=mx+b where m=slope and b=y-intercept,
m=2 and b=(0, 4).
I Need help on this question .
Answers
Answer:
x^2-y^2
Step-by-step explanation:
Foil (x+y)(x-y)=
x^2-xy+xy-y^2=
x^2-y^2=
What is the solution to the equation below? 5^x=26
Answers
log5 5^x = log5 26
(log 5 & 5 cancel out)
x = log5 26
use change of base formula
x = (log 26)/(log 5)
^ if you need an exact number just put that into any calculator
What is the solution to -2(8x - 4) < 2x + 5?
Ox>
1
0x< 1 / 2
O x>6
Ox<6
Please help
Answers
Answer: Option (a) x > 1/6 is the solution to the given expression -2(8x - 4) < 2x + 5.
The solution to the inequality is x > 1/6
What is an Inequality Equation?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
-2(8x - 4) < 2x + 5
On simplifying , we get
-16x + 8 < 2x + 5
Subtracting 2x on both sides , we get
-18x + 8 < 5
Subtracting 8 on both sides , we get
-18x < -3
Multiply by -1 on both sides , we get
18x > 3
Divide by 18 on both sides , we get
x > 1/6
Hence , the solution is x > 1/6
To learn more about inequality equations click :
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Is 32 cm bigger than 315 mm
Answers
Answer:
Yes! 32 cm is 320 mm. I hope this helps you
Step-by-step explanation:
Answer:
32 centimeters are equal to 320 millimetres, so if compare the two:
315 __ 320
315 < 320, therefore 32 centimeters is bigger than 315 millimetres
) Lori and Jayden open 6 packs of baseball cards. They have 72 cards in all.
They want to know how many cards, c, were in each pack.
Answers
Answer:
12
Step-by-step explanation:
Since there are 6 packs in all, and a total of 72 cards, we can multiply 6×12=72
There were 12 cards in each pack if they have 72 cards in all.
What is a numerical expression?A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.
Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Lori and Jayden crack open six packs of baseball cards. They have a total of 72 cards.
As per the given question, the required solution would be as;
Lori and Jayden have 6 packs × c cards/pack = cards in total.
This means that there are c = 72 cards / 6 packs = 12 cards in each pack.
Therefore, there were 12 cards in each pack.
To learn more about numerical expression click here :
https://brainly.com/question/6037813
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A chef measured the weight in pounds of 12 bags of fruits that she purchased from a
vendor.
The weights in pounds are shown.
Find the median weight.
Answers
Answer:
12
Step-by-step explanation:
Put numbers in order from least to greatest.
8,8,9,9,10,11,13,14,14,14,15,16.
Find the number in the middle.
Because 12 is an even number we have to take the two middle numbers, in this case 11 and 13, add them and then divide that number by 2.
11+13= 24
24 ÷ 2 =12
So the median weight is 12.
Answer:
Step-by-step explanation:
The first thing you do is put the numbers least to greatest and the middle is your answer hope you get a good grade
look for numbers in place of the letters such that the following mathematical expression hold PRQ/3=OV UVW/6=OV MNO/9=OV
Answers
Answer:
PRQ/3
Step-by-step explanation:
it is done by adding the first two
I will mark brainlyist
What are the values of the variables in the triangle below?
Answers
Answer:
x=9
y=3√3
Use trig ratios
Answer:
x = 3sqr3, y = 9
Step-by-step explanation:
Use SOH CAH TOA, to solve this.
Here I know the hypotenuse, so I could use either SOH either CAH or both to find the 2 unknowns.
To find y, I would use SOH, which is Sin(angle) = opposite/hypotenuse.
When I rearrange it, I get Sin(angle)*hypotenuse = opposite. Now let's fill in with the values to give:
Sin(30)*6sqr3 = 3sqr3
And then to find x, let's use CAH, which is Cos(angle) = adjacent/hypotenuse.
Rearrange it to get Cos(angle)*hypotenuse = adjacent. This gives us a side x with a value of:
Cos(30)*6sqr3 = 9
11. Suppose ∆ ≅ ∆. Which choice below shows corresponding parts to congruent triangles that are
congruent? Explain your answer.
Answers
Answer:
CStep-by-step explanation:
Cross out B and D, because angle D does not correspond with Y and Angle F does not correspond with X (order matters).
It comes down to either A or C, so look at the sides.
DF does not correspond to XY, again, the order it is displayed matters.
D is the first letter and F is the last, while X is the 2nd letter of the triangle, while it should be the first letter to correspond with D
Thus by Process of Elimination the answer is C.
(Also DF DOES correspond with WY)