Solve for X
1. 6(8 x + 6) + - 1

2. 9x/7 + 6 = 6

3. 2x/11 (11 - 7) = 6

4.11x/4 (4 - 2) = 9x + 10

The equation 0.75(x+40)=0.35(x+20)+0.35(x-20) is having only one solution.

Given equation 0.75(x+40)=0.35(x+20)+0.35(x-20)

We have to find the number of solutions.

To find the number of solutions we have to solve the equation for the value of variable x. Equation is often solved to find the value of variables.

Equation : 0.75(x+40)=0.35(x+20)+0.35(x-20)

Opening the brackets and multiply the numbers outside by the numbers in the bracket.

0.75x+30=0.35x+7+0.35x-7

Take all the numbers having same variables at one end of equal to.

0.75x-0.35x-0.35x=7-7-30

0.75x-0.7x=-30

0.05x=-30

x=-30/0.05

x=-600

Which is the only value of x.

Hence the number of solutions of the equation 0.75(x+40)=0.35(x+20)+0.35(x-20) is  one.

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The probability that they do not use the swimming pool will be 0.2.

From the information given, there are 135 people in a sport centre and 31 people use the gym and the track while 4 people use all three facilities.

Based on the information given, the people who use the gym and the track only will be:

= 31 - 4

= 27

The probability that they do not use the swimming pool will be:

= 27/135

= 0.2

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Answer:

Circle B: 3

Both circle B + S: 6

Circle S: 1

Outside of box: 2

Answer:

b. 120

Step-by-step explanation:

3t2s

3(2)2(10)

6(20)

120

Answer:

Hello! The answer is 120.

Step-by-step explanation:

s = 10 and t = 2

Substitute:

(3)(2)(2)(10)

3 × 2 = 6

2 × 10 = 20

6 × 20 = 120

By looking at the diagram, we can see that:

As you can see, the ray DE starts at point D and then passes through E, and then continues.

Then the only endpoint of that ray is D.

The ray GA starts at point G and goes through A (so it goes to the left of G).

The ray DF starts at point F and goes through F (So it goes to the right of D).

Then these two rays don't intersect, because D is at the right of G.

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Answer:

  (d)  intersection

Step-by-step explanation:

When given two inequalities, you must determine whether the solution set must satisfy both, or must satisfy either. The key is found in the conjunction associated with the inequalities.

Here, the conjunction is "and," which means the solution must satisfy both inequalities. It also means, the solution set will be the intersection of the solution sets of the different inequalities.

The attached number line shows the first solution set in red, the second solution set in blue, and the "and" (intersection) of those in purple.

The conjunction "or" will signify the solution set is the union of those of the separate inequalities.

Option B is the answer. The term for the geometric sequence that we have here is -3.

We have u1, u2, u3 = a, ar, ar², ar³

From here we have to find the common ratio that is used to divide the sets of numbers

6,561 divided by −2,187 = -3

Hence when we go further each of the value when divided by -3 gives the next value.

Hence the value for the geometric sequence is -3.

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Step-by-step explanation:

Question 46.

[tex](2\sqrt{5}-\sqrt{2} )^2=(2\sqrt{5})^2-2*2\sqrt{5}*\sqrt{2} +(\sqrt{2})^2 } =4*5-4*\sqrt{2*5} +2=\\=20-4\sqrt{10}+2=22-4\sqrt{10}.[/tex]

Answer: E. None of these.

Question 47.

[tex]\frac{4\sqrt{5} }{\sqrt{3} } =\frac{4*\sqrt{5}*\sqrt{3} }{\sqrt{3} *\sqrt{3} } =\frac{4*\sqrt{5*3} }{3}=\frac{4\sqrt{15} }{3} .[/tex]

Answer: E. None of these.

Answer:

45) E 47) E

Step-by-step explanation:

45)

Remember the formula [tex](a-b)^2=a^2-2ab+b^2[/tex]

[tex](2\sqrt5-\sqrt2)^2=(2\sqrt5)^2-2(2\sqrt5\times\sqrt2)+(\sqrt2)^2\\\\=20-2(2\sqrt{10})+4\\\\=24-4\sqrt{10}[/tex]

Hence E. None of these.

47)

[tex]\frac{4\sqrt{5}}{\sqrt3}=\frac{4\sqrt5\times\sqrt3}{\sqrt3\times\sqrt3}\\\\=\frac{4\sqrt15}{3}[/tex]

Hence E. None of these.

Have a nice day, also please mark brainliest thanks :)

Answer:

2. 120

Step-by-step explanation:

3t2s

Replace variables t and s with 2 and 10

3 x 2 x 2 x 10

6 x 20

=120

So the answer is number 2. 120

We must mix 240 liters of the 51 % solution and 10 liters of the 26 % solutions to produce 250 liters of 50 % solution.

Herein we have to prepare a solution with fertilizers by mixing two different solutions. The amount needed of the 51 % solution can be found by weighted averages:

(50/100) · (250 L) = (51/100) · x + (26/100) · (250 - x)

50 · 250 = 51 · x + 26 · 250 - 26 · x

24 · 250 = 25 · x

x = 240

We must mix 240 liters of the 51 % solution and 10 liters of the 26 % solutions to produce 250 liters of 50 % solution.

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[tex] \frac{?}{20} = \frac{6}{10} [/tex]

[tex] \frac{?}{2} = 6 \\ ? = 6\times 2 = 12[/tex]

The slope intercept form is written as: y= mx+b

where m is slope and b is the y-intercept

Here m is 1/5 and -8 is b

So, 1/5 and -8

Hope it helps!

Answer:

x-intercept of f(x)=x²+3x-4 is (1,0) &(-4,0)

x-intercept of g(x)=x-4 is (4,0)

y-intercept of f(x)=x²+3x-4 is (0,-4)

y-intercept of g(x)=x-4 is (0,-4)

Step-by-step explanation:

[tex]f(x) = x {}^{2} + 3x - 4 \\ to \: find \: x \: intercept \: subistitute \: f(x) = 0 \\ 0 = x {}^{2} - 3x - 10 \\ x { }^{2} - 3x - 1 = 0 \\ x {}^{2} + 2x - 5x - 10 = 0 \\ x(x + 2) - 5x - 10 = 0 \\ x(x + 2) - 5(x + 2) = 0 \\ (x + 2).(x - 5) = 0 \\ x + 2 = 0 \\ x - 5 = 0 \\ x = - 2 \\ x = 5 \\ the \:equation \: x \: intercept \: are \: - 2and \: 5 \\ f(0) = 0 {}^{2} + 3(0) - 4 \\ - 4 \: is \: y \: intercept \: of \: f(x) = x {}^{2} + 3x - 4 \\ where \: as \: for \: g(x) = x - 4 \\ to \: find \: x \: intercept \: f(x) = 0 \\ 0 = x - 4 \\ - x = - 4 \\ x = 4 \\ 4is \: the \: x \: intercept \: and \: for \: the \: y \: intercept \\ g(0) = 0 - 4 \\ y = - 4is \: the \: y \: intercept.[/tex]

The true statements about the functions are:

The complete question is in the attached image

From the image, we have:

This means that the true statements about the functions are g(x) has the maximum greatest value and h(x) has a range of all negative numbers.

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Answer:

I believe the graph went 3 units up

Step-by-step explanation:

Answer: 3x + 23

it should be right!

Answer:

3x + 23

Step-by-step explanation:

To simplify this expression, the first thing we have to do is distribute the 4 outside the parentheses. This gives us 4x + 28 - 7 - x + 2. Now, we can combine like terms (those that have variables and those that don't) to get 3x + 23

The orthocenter of the triangles ABC are (2, 0) and (3, 3)

Question 8

The coordinates are given as:

A(2,0); B(2, 4); C(6,0)

Calculate the slope of BC using:

m = (y2 - y1)/(x2 - x1)

So, we have:

m =(0 - 4)/(6 - 2)

m =-1

The perpendicular slope is:

n = -1/m

n = -1/-1

n = 1

The equation of the perpendicular line is

y = n(x - x1)  + y1

Where:

(x1, y1) = (2,0)

So, we have:

y = 1(x - 2) + 0

y = x - 2

Calculate the slope of AC using:

m = (y2 - y1)/(x2 - x1)

So, we have:

m =(0 - 0)/(6 - 2)

m =0

The perpendicular slope is:

n = -1/m

n = undefined

This means that the perpendicular line is a vertical line

The equation of the perpendicular line is

x = x1

Where:

(x1, y1) = (2,4)

So, we have:

x = 2

Substitute x = 2 in y = x - 2

y = 2 - 2

y = 0

So, we have:

(x, y) = (2, 0)

Hence, the orthocenter of ABC is (2, 0)

Question 9

The coordinates are given as:

A(1,1); B(3, 4); C(6,1)

Calculate the slope of BC using:

m = (y2 - y1)/(x2 - x1)

So, we have:

m =(1 - 4)/(6 - 3)

m =-1

The perpendicular slope is:

n = -1/m

n = -1/-1

n = 1

The equation of the perpendicular line is

y = n(x - x1)  + y1

Where:

(x1, y1) = (1,1)

So, we have:

y = 1(x - 1) + 1

y = x

Calculate the slope of AC using:

m = (y2 - y1)/(x2 - x1)

So, we have:

m =(1 - 1)/(6 - 1)

m =0

The perpendicular slope is:

n = -1/m

n = undefined

This means that the perpendicular line is a vertical line

The equation of the perpendicular line is

x = x1

Where:

(x1, y1) = (3,4)

So, we have:

x = 3

Substitute x = 3 in y = x

y = 3

So, we have:

(x, y) = (3, 3)

Hence, the orthocenter of ABC is (3, 3)

Question 18 - 20

Line 2x and x+ 3 are congruent lines

So, we have:

2x = x +3

Solve for x

x= 3

Line 3x and 2x + 5 are congruent lines

So, we have:

3x = 2x +5

Solve for x

x = 5

Line 2x - 3 and x + 2 are congruent lines

So, we have:

2x - 3 = x + 2

Solve for x

x = 5

Question 21 - 23

Line x + 5 and 3x + 7 are congruent lines

So, we have:

x + 5 = 3x + 7

Solve for x

x = -1

Line x + 6 and 5x - 4 are congruent lines

So, we have:

x + 6 = 5x - 4

Solve for x

x = 2.5

Line x + 8 and 5x + 7 are congruent lines

So, we have:

x + 8 = 5x + 7

Solve for x

x = 1/4

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Answer:

Step-by-step explanation:

a women buys 3 dozen eggs. Later ,she discovers that x of them are broken. How many eggs are not broken​

3 * 12 - x =

36 - x

Answer:

26.4

Step-by-step explanation:

Law Of Cosines:

    [tex]cos(A)=\frac{b^2+c^2-a^2}{2bc}[/tex]

    This should work for any side. This can generally be thought as:

   [tex]cos(\text{angle}) = \frac{\text{sum of squares of two other sides-opposite side squared}}{\text{2 times the product of the other two sides}}[/tex]

    If this is too confusing here's the formula for the other sides (which is essentially the same, just different variables)

   [tex]cos(B)=\frac{a^2+c^2-b^2}{2ac}[/tex]

   [tex]cos(C) =\frac{a^2+b^2-c^2}{2ab}[/tex]

Anyways now just plug in the known values into the equation

[tex]cos(A)=\frac{4^2+6^2-3^2}{2(6)(4)}\\[/tex]

Square and multiply values

[tex]cos(A)=\frac{16+36-9}{48}[/tex]

Add the values in the numerator

[tex]cos(A)=\frac{43}{48}[/tex]

Take the inverse of cosine on both sides

[tex]A=cos^{-1}(\frac{43}{48})[/tex]

calculate arccosine (inverse cosine) using a calculator

[tex]A\approx 26.384[/tex]

Round to nearest tenth

[tex]A\approx26.4[/tex]

Answer: 2   55   121

             22   5      11

Step-by-step explanation:

Answer: C. 3052,08 cm³.

Step-by-step explanation:

D=18 cm       V=?

[tex]R=\frac{D}{2} =\frac{18\ cm}{2} =9\ cm.\\\boxed {V=\frac{4}{3}*\pi *R^3 }\\V=\frac{4}{3}*\pi *9^3 \\V=4*\pi *3*9^2\\V=12*81*3,14 \\V=3052,08\ (cm^3).[/tex]

Answer:

12

Step-by-step explanation:

just find the HCF, which will be

2² × 3 = 12

The value of nickels is $76.80.

The height of each nickel is 6.25 / 100 = 0.0625 inches.

Divide 8 feet by 0.0625 inches to find that there are

8×12 / 0.0625 = 1536 nickels in an 8 ft stack.

Their value is $76.80.

Nickel is a chemical detail with the symbol Ni and atomic range 28. It is silvery-white lustrous steel with a mild golden tinge. Nickel belongs to the transition metals and is hard and ductile.

Pure nickel, powdered to maximize the reactive surface vicinity, indicates a widespread chemical interest, but large pieces are slow to react with air underneath fashionable conditions because an oxide layer paperwork at the floor stops further corrosion (passivation).

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The number of ways is 497420

The ways can the team assign field positions to 9 of the 22 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled is [tex]22_{C_9}[/tex]

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, you can select the items in any order.

22C9 = 22! /(9!*13!) = 497420

Thus, In 497420 ways the team assign field positions to 9 of the 22 players, putting each of the 9 selected players in a position he can play, and ensuring that all 9 field positions are filled.

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Answer:

$18

Step-by-step explanation:

Simply just multiply 30/100 with 60 = (30/100)*60 = (30*60)/100 = 18

The value of 30% off $60 is number 18.

To calculate a 30% discount off $60, you can follow these steps:

Convert the percentage to a decimal:

30% is equal to 0.30.

Multiply the original price by the decimal:

$60 × 0.30

= $18.

Therefore, a 30% discount off $60 would be $18.

The discounted price would be $60 - $18 = $42.

Hence, the value of 30% off $60 is 18.

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Answer:

(1,0)

Step-by-step explanation:

I'm just gonna say that the point you want to be transformed is the origin. It will be moved to (1,0)

Answer:

Please review my interpretation of the written expression.

Step-by-step explanation:

f(x) = 5*(4/5)^x    :  Is this correct?

If so, see attached graph.

One can calculate several points and then draw the graph, or use an online, and free, graphing app (DESMOS in this case).

Since the exponent is the variable, I'll pick a few vaules that are easy (for me) to calculate:

f(0) = 5*(4/5)^0

Anything raised to the 0th power is equal to 1, so we get 5*1 or 5 to make the point (1,5).

When x = 1, the fraction (4/5) remains (4/5) and when multiplied by 5, reduces to simply 4.  The second point is (1,4)

For the last point, I chose x to be 10.  5(4/5)^10 becomes 0.5.  The third point is (10,0.5)

We can see the line approaches 0 as x increases.