Step-by-step explanation:
[tex]3(4 - 2x) = - x + 1 \\ 12 - 6x = - x + 1 \\ 12 - 1 =6x - x \\ 11 = 5x \\ \frac{11}{5} = x \\ 2 \frac{1}{5} = x \\ [/tex]
The solution of the equation is x = 11/5
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
The given equation is,
3 (4 - 2x) = -x + 1
We have to solve the equation.
Distributive property states that, for three numbers, a, b and c,
a(b + c) = ab + ac
So, 3 (4 - 2x) = (3 × 4) - (3 × 2x)
= 12 - 6x
Substituting,
3 (4 - 2x) = -x + 1
12 - 6x = -x + 1
-6x + x = 1 - 12
-5x = -11
x = 11/5
Hence the solution is x = 11/5.
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Evaluating
100 points worth is it worth it. Also giving out brainliest to the right or closest right answer.
Answer:
C
Step-by-step explanation:
8x2= 16
8x3 = 24
24+16 =40
40/4 = 10
10-8 = 2
help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
7200
Step-by-step explanation:
The number was 72. you move the decimal 2 places to the right (left if it was negative) There are no numbers there. So you add 0's .
(Sorry if I did not explain good enough. I am not very good at explaining things.)
Which of the following represents the function graphed? F(x)=1/2 x f(x)=x f(x)= x+2
The graph shows the amount of money you and a friend are saving for a camping trip.
You: 4 weeks 60 dollars. 8 weeks 120 dollars.
Friend: 2 weeks 40 dollars. 5 weeks 100 dollars
B) Find the slope of each line.
C) How much more money does your friend save each week than you?
D) The camping trip costs $165. How long well it take you to save enough money
Help!! I’ll mark brainly list but explain
Answer:
0.125
Step-by-step explanation:
(4)(-2)-3(-3)/3+5=
1/8=
0.125
[tex]▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ [/tex]
let's evaluate :
[tex] \dfrac{(4a - 3b) {}^{3} }{c + 5}[/tex]In the given expression, let's plug the value of
a = -2 b = -3c = 3so,
[tex] \dfrac{ \{(4 \times (- 2)) - (3 \times (- 3)) \} {}^{3} }{3 + 5}[/tex][tex] \dfrac{ \{ - 8 - ( - 9) \} {}^{3} }{8}[/tex][tex] \dfrac{ \{ - 8 + 9 \} {}^{3} }{8}[/tex][tex] \dfrac{(1) {}^{3} }{8} [/tex][tex] \dfrac{1}{8} [/tex]Plz help it’s due tonight!!!
Answer:
B
Step-by-step explanation:
DE is the line that has two ticks through it - the same as FG
the next line goes through the hypotenuse and it is EG for the first triangle and GE for the second
the last line goes through the line with one tick: GD and EF; the points G and D are at the ends of the first part of the congruence statement. the points E and F are also at the ends of their congruence statements
thus the answer is B
Pamela is 7 years younger than Jiri. The sum of their ages is 63. What is Jiri's age?
Answer: 35
Step-by-step explanation: (lol I read the question wrong). Basically subtract 7 from 63, then divide 56 by 2 to find Pamela’s age. Then add 28+7 because Jiri is 7 years older than Pamela
Show all steps
question is in the photo.
[tex]\\ \sf\longmapsto \sqrt{108x^2y^3}-\sqrt{12x^2y^3}+x\sqrt{75y^3}[/tex]
[tex]\\ \sf\longmapsto \sqrt{2\times 2\times 3\times 3\times 3\times x\times x\times y\times y\times y}-\sqrt{2\times 2\times 3\times x\times x\times y\times y\times y}+\sqrt{5\times 5\times 3\times y\times y\times y}[/tex]
[tex]\\ \sf\longmapsto 6\sqrt{3}xy\sqrt{y}-2\sqrt{3}xy\sqrt{y}+5\sqrt{3}xy\sqrt{y}[/tex]
[tex]\\ \sf\longmapsto \sqrt{3}xy\sqrt{y}(6-2+5)[/tex]
[tex]\\ \sf\longmapsto 9\sqrt{3}xy\sqrt{y}[/tex]
Answer:
[tex]{ \rm{ \sqrt{108 {x}^{2} {y}^{3} } - \sqrt{12 {x}^{2} {y}^{3} } + x \sqrt{75 {y}^{3} } }} \\ \\ = { \rm{\sqrt{(36 \times 3) {x}^{2} {y}^{3} } - \sqrt{(4 \times 3) {x}^{2} {y}^{3} } + x \sqrt{(3 \times 25)} {y}^{3} }} \\ \\ = { \rm{ \sqrt{ {x}^{2} {y}^{3} } ( \sqrt{36 \times 3} - \sqrt{4 \times 3} + \sqrt{3 \times 25} }}) \\ \\ { = \rm{x {y}^{ \frac{3}{2} } (6 \sqrt{3} - 2 \sqrt{3} + 5 \sqrt{3} ) }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \{(6 - 2 + 5) \sqrt{3} \} }} \\ \\ = { \rm{x {y}^{ \frac{3}{2} } \times 9 \sqrt{3} }} \\ \\ = { \boxed{ \rm{9x \sqrt{3 {y}^{3} } }}}[/tex]
Convert 34.0 dm to km. Show all work.
Step-by-step explanation:
Convert 34 Decimeters to Kilometers (dm to km) with our conversion calculator and conversion tables. To convert 34 dm to km use direct conversion formula below.
34 dm = 0.0034 km.
You also can convert 34 Decimeters to other Length (popular) units.
Answer:
34dm=0.0034km
Step-by-step explanation:
1dm=0.0001km
0.0001 times 34= 0.0034.
I am cooking a recipe. It requires 7/2 of sugar. I only have a 1⁄4 cup to measure the sugar with. How many quarter cups would I need to measure the correct amount of
Answer:
14
Step-by-step explanation:
Convert [tex]\frac{7}{2}[/tex] to a fraction with a common denominator
[tex]\frac{7}{2} (\frac{2}{2} )=\frac{14}{4}[/tex]
You now divide the fractions to find the amount of correct measurements needed.
[tex]\frac{\frac{14}{4} }{\frac{1}{4} }[/tex] For dividing by a fraction it is the same a multiplying by its reciprocal.
This becomes [tex]\frac{14}{4} (\frac{4}{1} )=\frac{14}{4} (4)=14[/tex]
You will need 14 correct measurements.
help me please
in a sale, the normal price of a hat is reduced by 15%
The sale price of the hat is 20.40 euros.
Work out the normal price of the hat.
Answer:
The correct answer is 24
Step-by-step explanation:
To solve this math problem, you will need to divide 20.40 with 1 (1 is 100% as a decimal) and 0.15 (0.15 is 15% as a decimal).
--
[tex]20.40[/tex] ÷ [tex](1-0.15)[/tex]
--
First, subtract 1 and 0.15
[tex]1-0.15=0.85[/tex]
Next, divide 20.40 and 0.85
[tex]20.40[/tex] ÷ [tex]0.85 = 24[/tex]
--
Therefore, the final product of this math problem is 24
what is (m−3+4n)⋅(−8)=−8m+24−32n
Answer:
-8m+24-32n
Step-by-step explanation:
8×m,-3and 4n
A biologist is developing two new strains of bacteria. Each sample of Type 1 bacteria produces four new viable bacteria, and each sample of Type II bacteria produces three new viable bacteria. Altogether, at least 240 new viable bacteria must be produced. At least 20, but not more than 60, of the original samples must by Type I. Not more than 70 of the original samples can be Type II. A sample of Type I costs $5 and a sample of Type II costs $7. How many samples of each bacteria should the biologist use to minimize the cost? What is the minimum cost?
The cost can be optimized by using a Linear Programming given the linear constraint system
To minimize the cost, the biologist should use 60 samples of Type I bacteria and 0 samples of Type II bacteriaReason:
Let X represent Type 1 bacteria, and let Y, represent Type II bacteria, we have;
The constraints are;
4·X + 3·Y ≥ 240
20 ≤ X ≤ 60
Y ≤ 70
P = 5·X + 7·Y
Solving the inequality gives;
4·X + 3·Y ≥ 240
[tex]Y \geq 80 - \dfrac{4}{3} \cdot X[/tex] (Equation for the inequality graphs)The boundary of the feasible region are;
(20, 70)
(20, 53.[tex]\overline 3[/tex])
(60, 0)
(60, 70)
The cost are ;
[tex]\begin{array}{|c|c|c|}X&Y&P= 5\times X + 7 \times Y\\20&70&590\\20&53.\overline 3&473.\overline 3\\60&0&300\\60&70&790\end{array}\right][/tex]
Therefore, the minimum cost of $300 is obtained by using 60 samples of Type I and 0 samples of Type IILearn more here:
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please help me solve x please
Answer:
x = 5
Step-by-step explanation:
The exterior angle theorem states that the measure of each exterior angle of a triangle is equal to the sum of the opposite and non-adjacent interior angles.
In the given problem, the exterior angle is < B, and the non-adjacent interior angles are < D and < C.
Given that:
< B = 12x + 8
< D = 8x + 8
< C = 20°
Set up the following formula to solve for x:
(8x + 8) + 20 = 12x + 8
Combine like terms:
8x + 28 = 12x + 8
Subtract 8 from both sides:
8x + 28 - 8 = 12x + 8 - 8
8x + 20 = 12x
Subtract 8x from both sides:
8x - 8x + 20 = 12x - 8x
20 = 4x
Divide both sides by 4 to solve for x:
20/4 = 4x/4
5 = x
Therefore, x = 5.
I NEED SOME HELP! Please? Lines a and b lie in the standard (x,y) coordinate plane. An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of line a. What is the slope of line b?
0.35
0.05
0.015
3.0
500
In the standard (x,y) coordinate plane, which of the following lines are perpendicular to the line 2y = 3x + 1?
y = - 2/3x + 3
y = -3/2x - 1
y = 2/3x - 1
y = 3/2x + 2
y = 2/3x + 1
a. Just add 0.2 to 0.15 in equation a. y = mx + b shows that m is the slope. Answer would be 0.35.
b. 2y = 3x + 1
y = 3x/2 + 1/2
Perpendicular = negative reciprocal of original function's slope.
3/2 -> -2/3x.
Only the first one fulfills the equation, thus:
-2/3x + 3.
(1) The slope of line b is 0.35. The correct option is A.
(2) The equation perpendicular to the line y = - 2/3x + 3. The correct option is A.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
(1) An equation for line a is y = 0.15x + 5000. The slope of line b is 0.2 greater than the slope of the line.
The slope of line b,
b = 0.2 + a
b = 0.2 + 0.15
b = 0.35
(2) The equation of the line perpendicular to the line 2y = 3x + 1 is calculated as:-
The slope of the line perpendicular to the other line is the opposite reciprocal. The equation will be,
y = -2/3x + 3
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solve the inequality x/2-5>4
Answer:
x>18
Step-by-step explanation:
[tex]\frac{x}{2} -5>4\\\\\\\frac{x}{2} >9\\\\\\\\x>9(2)\\\\\\x>18[/tex]
Please help I have 20 minutes to turn this in
Answer:(-6,30)
Step-by-step explanation:
x=-6
y=30
Answer: (-6,30)
Step-by-step explanation:
-5x=-x+24
+x=+x
-4x=24
÷-4=÷-4
X=-6
Y=-5x
Y=-5(-6)
Y=30
(-6,30)
Which expressions represent the product of a variable and a coefficient?
Answer:
dfhlfbfuewbbfv
Step-by-step explanation:
Answer: There is not variables?
Step-by-step explanation:
Which quadratic equation contains the three points (-4,12), (2,42), and (3,40)
The quadratic equation that contains the three points is y = -x² + 3x + 40
A quadratic equation is in the form:
y = ax² + bx + c
At point (-4, 12):
12 = a(-4)² + b(-4) + c
16a - 4b + c = 12 (1)
At point (2, 42):
42 = a(2)² + b(2) + c
4a + 2b + c = 2 (2)
At point (3, 40):
40 = a(3)² + b(3) + c
9a + 3b + c = 40 (3)
Solving equation 1, 2, and 3 gives:
a = -1, b =3, c = 40
y = -x² + 3x + 40
Hence the quadratic equation is y = -x² + 3x + 40
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(x^2 + 2x + 2)(x + 5) = 0
We can calculate the total price in dollars (d) based on the pounds of ribeye steak (s) sold using the equation d=8s. What would be the total price (d) of 4 pounds of steak?
Answer:
$32
Step-by-step explanation:
The variables in this equation are already defined. So we know that whatever d is equal to will be the cost, and therefore, the final answer. Additionally, s is the number of pounds of steak, so it is an independent variable. To solve this equation, plug in the number of pounds, 4, into the equation for s. Also, 8 is the unit price for the steak, so this multiplied by the amount of steak must be the total cost. This makes the new equation, d=8(4). Finally, multiply these numbers to get d=32. So the final cost for 4 pounds of steak must be $32.
Answer:
32 dollars
Step-by-step explanation:
The Equation to calculate the total price(d) based on the pounds of ribeye steak(s) sold if given as:
d = 8S
So, to calculate the total price(d) of 4 pounds of steak, all we need do is to substitute 4 into the given formula
That is,
d = 8(4)
d = 32 dollars
Therefore the price of 4 pounds of steaks is 32 dollars
∠A and \angle B∠B are complementary angles. If m\angle A=(7x+23)^{\circ}∠A=(7x+23)
∘
and m\angle B=(5x+19)^{\circ}∠B=(5x+19)
∘
, then find the measure of \angle B∠B.
Since there are complementary angles, the value of angle B is 39°.
Angle A = 7x + 23°
Angle B = 5x + 19°
It should be noted that the total angles in a complementary angle are equal to 90°.
Therefore, we need to add angle A and B together and then equate them to 90°. This will be:
7x + 23° + 5x + 19° = 90°
Collect like terms
12x + 42° = 90°
12x = 90° - 42°
12x = 48°
x = 48°/12
x = 4°
Angle A = 7x + 23° = 7(4) + 23° = 28° + 23° = 51°
Angle B = 5x + 19° = 5(4) + 19° = 20° + 19° = 39°
The value of angle B is 39°.
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A piano has a length of 8 feet and a width of x+2 feet, write an expression in simplest form of the perimeter of the piano.
Answer: 2(x + 10)
Step-by-step explanation: you have to add all of the perimeter sides together so you will have to times the length by 2 so your equation would be (8 × 2 = 16). Then the width by 2 ( 2 × (x+2) = 2x + 4) now you add them together
16 + 2x + 4
2x + 20
Now you have to take out the highest common factor which is 2
So it will be 2(x + 10)
A scale model of a bus is 12 inches long. The scale is 1:21. How many inches long is the bus it
represents?
its 304.8 milimeter
The actual length of the bus that the scale model represents is 252 inches.
To find the actual length of the bus represented by the scale model, you can use the scale ratio.
Given:
Scale model length = 12 inches
Scale ratio = 1:21
Let "x" be the actual length of the bus.
Using the scale ratio:
Scale model length / Actual length = Scale ratio
12 inches / x inches = 1/21
Now, solve for "x":
x = 12 inches / (1/21)
x = 12 inches × 21
x = 252 inches
Therefore, the actual length of the bus that the scale model represents is 252 inches.
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find the length of the hypotenuse of the right triangle. leave your answer in simplest radical form. not drawn to scale.
Answer:
it need to =90
Step-by-step explanation:
a rectangular hall is 16 m tall and 12 metre wide. how many marble slabs of size 25 CM X 15cm needed to cover the floor of the hall?
Answer:
5120 tiles.
Step-by-step explanation:
Do one thing.
Find out the area of the rectangular hall.
Find out the area of the marble slab.
Remember, the units are to be made same.
Now, to know the number of marble tiles required to fill the hall, you just have to divide the area of the hall with the area of the marble tile.
Calculations-
Area of the rectangular hall = length x width = 1600 x 1200 (we converted 'm' to 'cm') = 1920000 sq. cm.
Area of one marble tile = 25 x 15 = 375 sq. cm.
Now you divide the numbers and get 5120 tiles.
50 points answer now
Answer: x3+y3+z3=k
Step-by-step explanation:
x3+y3+z3=k
You're welcome mr/ms
Evaluate (2-5i)(p+q)(i) when p= 2 and q=5i
Answer:
it's 25qr 78 5×4 and then 12÷5= 2r28
I will mark brainliest!!
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\boxed{\mathsf{\sqrt{121} = x^2}}[/tex]
[tex]\huge\boxed{\mathsf{x^2 = \sqrt{121}}}[/tex]
[tex]\large\boxed{\large\boxed{\bullet\rm{ \ TAKE \ your \ SQUARE \ ROOT}}}[/tex]
[tex]\huge\boxed{\mathsf{x = \pm \sqrt{121}}}[/tex]
[tex]\large\boxed{\large\boxed{\bullet\ \rm{The \ symbol\ \boxed{\pm}\ means \ plus \ or \ minus, so \ that \ means}}}\\\large\boxed{\boxed{\rm{either \ the \ result \ will \ be \ \underline{\underline{positive}} \ or \ \underline{\underline{negative}}}}}}}\large\checkmark[/tex]
[tex]\huge\boxed{\mathsf{\sqrt{121} = -\sqrt{121}}}[/tex]
[tex]\huge\boxed{\sqrt{121} = \bf 11}[/tex]
[tex]\huge\boxed{\mathsf{-\sqrt{121} = \bf -11}}[/tex]
[tex]\huge\boxed{\text{Therefore, your answer is: \textsf{x = -11 or x = 11}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day! }[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Use the hundredths grid to answer the question.
Describe the decimal multiplication equation and product shown by the model. Include details of where each part of the equation is found on the model.
The question is an illustration of multiplication model.
The multiplication model is: [tex]\mathbf{0.90 \times 0.10 =0.09}[/tex]
From the figure, the shaded portions are:
[tex]\mathbf{Green = \frac{90}{100}}[/tex]
[tex]\mathbf{Orange = \frac{10}{100}}[/tex]
So, the multiplication model represents:
[tex]\mathbf{Model =Green \times Orange}[/tex]
This gives
[tex]\mathbf{Model =\frac{90}{100} \times \frac{10}{100}}[/tex]
Express as decimal
[tex]\mathbf{Model =0.90 \times 0.10}[/tex]
[tex]\mathbf{Model =0.09}[/tex]
Hence, the multiplication model is:
[tex]\mathbf{0.90 \times 0.10 =0.09}[/tex]
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