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Answer:

x = (3 + 8y) / (y - 1)

Step-by-step explanation:

y = (x + 3) / (x - 8)

Make x the subject

y = (x + 3) / (x - 8)

Cross product

y * (x - 8) = (x + 3)

xy - 8y = x + 3

xy - x = 3 + 8y

Factorize the left hand side of the equation

x( y - 1) = 3 + 8y

Divide both sides by (y - 1)

x = (3 + 8y) / (y - 1)

Answer:

a - 8

Explanation:

7a−6+3−8a−(−2a+5)

Distribute the Negative Sign:

=7a−6+3−8a+−1(−2a+5)

=7a+−6+3+−8a+−1(−2a)+(−1)(5)

=7a+−6+3+−8a+2a+−5

Combine Like Terms:

=7a+−6+3+−8a+2a+−5

=(7a+−8a+2a)+(−6+3+−5)

=a + −8

Answer:

= a − 8

Answer:

Its D

Step-by-step explanation:

Answer:

x = 35

Step-by-step explanation:

5(x + 20) = 7x + 30​

Distribute the 5 on the left side by multiplying 5 by the two terms, x and 20.

5x + 100 = 7x + 30

Subtract 7x from both sides.

-2x + 100 = 30

Subtract 100 from both sides.

-2x = -70

Divide both sides by -2.

x = 35

Answer:

The population will be 863 in the next eight years

Step-by-step explanation:

Here, we want to know the population of the town in 8 years, given the percentage decrease and the present population

The exponential equation to use is that;

P = I( 1 - r)^n

where P is the future population we want to calculate

I is the present which is 2,400

r is the percentage of decay given as 12% = 12/100 = 0.12

n is the number of years which is 8

Substituting these values, we have that

P = 2,400(1 - 0.12)^8

P = 2,400(0.88)^8

P = 863

Answer:

0.45

Step-by-step explanation:

30% of 1.5 = 0.45

Hence, the percent of yellow paint the use is [tex]0.45[/tex] %.

What is the percentage?

A percentage is a number or ratio expressed as a fraction of [tex]100[/tex]. It is often denoted using the percent sign, "%".

Here given that,

Curt and Melanie are mixing blue and yellow paint to make seafoam green paint. [tex]1.5[/tex] quarts of seafoam paint is made of [tex]70[/tex]% blue, [tex]30[/tex]% yellow.

So,

[tex]30[/tex]% of [tex]1.5[/tex] is

[tex]\frac{30}{100}[/tex] ×[tex]1.5=0.45[/tex] %

Hence, the percent of yellow paint the use is [tex]0.45[/tex] %.

To know more about the percentage

https://brainly.com/question/13244100

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Answer:

5/6 rup of raisins?

Step-by-step explanation

Sorry if that is wrong

Answer:

No solution

Step-by-step explanation:

If you were to do elimination, both the x and the y would cancel out and get 0=1, which is not true. And if you were to do it as substitution, then it would still get an answer that doesn't make sense.

Answer:

9+11i

Step-by-step explanation:

Answer:

Each bag of chip costs 0.99 (99 cents)

Step-by-step explanation:

Soda = 1.75

Bag of chips = x

1.75 + 3x = 4.72

Subtract 1.75 from both sides;

3x = 2.97

Divide both sides by 3;

x = 0.99

Answer:

false, false, true, true, true

Step-by-step explanation:

Let's check each of the answers by plugging them into the inequality.

-2 (false):

[tex]9-3(-2)<12\\9-(-6)<12\\9+6<12\\15<12[/tex]which is false.

-1 (false):

[tex]9-3(-1)<12\\9-(-3)<12\\9+3<12\\12<12[/tex]which is false.

0 (true):

[tex]9-3(0)<12\\9<12[/tex]which is true.

1 (true):

[tex]9-3(1)<12\\9-3<12\\6<12[/tex]which is true.

2 (true):

[tex]9-3(2)<12\\9-6<12\\3<12[/tex]which is true.

Answer:

The end behavior of a polynomial function is the behavior of the graph of f(x) as x approaches positive infinity or negative infinity. The degree and the leading coefficient of a polynomial function determine the end behavior of the graph.

HOPE THIS HELPS

Answer:

2

Step-by-step explanation:

Answer:

So I'm not going to give you the answer but

Step-by-step explanation:

for x left is - and right is +

for y down is - and up is +

Answer:

29.15 feet

Step-by-step explanation:

Pythagorean theorem

Step-by-step explanation:

We have logb(8) = 3 and logb(0.5) = -1.

=> b³ = 8 and 1/b = 0.5

=> b = 2.

Therefore,

logb(4b) = log2(8) = 3.

Answer:

We have, logb(8)=3 and logb(0.5)=-1

→b³=8 and 1/b=0.5

→b=2

Therefore,

logb(4b) = log2(8)=3.

Given:

The expression is:

[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]

To find:

The value of the given expression.

Solution:

We have,

[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]

It can be rewritten as

[tex]=\sqrt[3]{\dfrac{(-8)\times (-8) \times (-8)}{9\times 9\times 9}}[/tex]

[tex]=\sqrt[3]{\dfrac{(-8)^3}{9^3}}[/tex]        [tex][\because a^ma^n=a^{m+n}][/tex]

[tex]=\sqrt[3]{\left(\dfrac{-8}{9}\right)^3}[/tex]        [tex][\because \dfrac{a^m}{b^m}=\left(\dfrac{a}{b}\right)^m][/tex]

[tex]=\dfrac{-8}{9}[/tex]        [tex][\because \sqrt[n]{x^n}=x][/tex]

The value of given expression is [tex]\dfrac{-8}{9}[/tex].

Therefore, the correct option is b.

Answer:

135

Step-by-step explanation:

75 x - 30 = 45

Inequality

45 x 3 =

135 (Inequality)

Step-by-step explanation:

By Sine Rule,

x/sin42° = 37/sin110°.

Hence x = 37sin42°/sin110° = 26.35 in. (A)

Answer:

b

Step-by-step explanation:

9514 1404 393

Answer:

  C)  12y 8m

Step-by-step explanation:

The amount of principal P at compound monthly at interest rate r per year is given by ...

  A = P(1 +r/12)^(12t) . . . . after t years

Here, we want to find t, so ...

  A/P = (1 +r/12)^(12t)

  log(A/P) = (12t)·log(1 +r/12)

  t = log(A/P)/(12·log(1 +r/12))

Filling in the given values, we find t to be ...

  t = log(8000/4000)/(12·log(1 +0.055/12)) ≈ 12.6315 ≈ 12 years 7.6 months

It will take about 12 years 8 months to double the money.

Answer:

[tex]Area \: of \: the \: quilt \: is \: length \times breadth \\ = (2x + 4)(3x + 3) \\ = 6 {x}^{2} + 6x + 12x + 12 \\ = 6 {x}^{2} + 18x + 12[/tex]

Answer:

12/90=6/45 and false is 8/12 =  5/8

dj

Answer:

1. D

2. C

3. A

4. B

Step-by-step explanation:

mark me brainliest if im right

Answer:

1. D

2. C

3. A I think

4. B

Step-by-step explanation:

1. The shown equation has a value of negative twelve and so does the equation 4n+8

2. If you use distributive property than you can get this answer

3. It shows the equation to a solve the problem

4. It is the best example that shows how to find how many nickels that Jeremy has

Answer:

Deepak only wants to make 16 cupcakes.

How much of each ingredient does he need?

Recipe: Makes 16 cupcakes

8 ounces butter

4 ounces sugar

6 ounces flour

2 eggs

Step-by-step explanation:

Answer:

butter: 8

sugar: 4

flour: 6

eggs: 2

Step-by-step explanation:

Multiply by 2/3.

Answer:

The change in volume of water in the tank after 35 second is approximately 687223.393 cubic centimeters.

Step-by-step explanation:

Geometrically speaking, the volume of the cylindrical tank ([tex]V[/tex]), measured in cubic centimeters, is determined by the following formula:

[tex]V = \pi\cdot r^{2}\cdot h[/tex] (1)

Where:

[tex]r[/tex] - Radius, measured in centimeters.

[tex]h[/tex] - Height, measured in centimeters.

By Differential Calculus, we obtain a formula of the rate of change of the volume of the cylinder ([tex]\dot V[/tex]), measured in cubic centimeters per seconds:

[tex]\dot V = \pi\cdot r^{2}\cdot \dot h[/tex] (2)

Where [tex]\dot h[/tex] is the rate of change of the water level, measured in centimeters per second.

Given that the rate of change of the water level is constant, then the rate of change of the volume of the cylinder is also constant. Hence, the change in the volume of the cylinder ([tex]\Delta V[/tex]), measured in cubic centimeters, is:

[tex]\Delta V = \pi\cdot r^{2}\cdot \dot h \cdot \Delta t[/tex] (3)

If we know that [tex]r = 25\,cm[/tex], [tex]\dot h = 10\,\frac{cm}{s}[/tex] and [tex]\Delta t = 35\,s[/tex], then the change in the volume of water in the tank is:

[tex]\Delta V = \pi\cdot (25\,cm)^{2}\cdot \left(10\,\frac{cm}{s} \right)\cdot (35\,s)[/tex]

[tex]\Delta V \approx 687223.393\,cm^{3}[/tex]

The change in volume of water in the tank after 35 second is approximately 687223.393 cubic centimeters.

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Answer:

I believe the answer is 103.

Step-by-step explanation:

Since line a is parallel to line b, angle m1 = angle m3.

Supposedly, angle m4 + angle m5 = 180 degrees, since it's a line. That also means that angle m3 + angle m4 = 180 degrees too.

That means:

angle m4 + angle m5 = angle m3 + angle m4

Subtract angle m4 from both sides of the equation.

You get,

angle m5 = angle m3.

Angle m5 is 103, and as we stated earlier, angle m3 = angle m1.

Thus, angle m1 = 103 degrees.

Answer:

Length = 3 7/8cm

Width  = 2 3/4 cm

Step-by-step explanation

Let the length of the rectangle by L

Let the width be W

If the length of a rectangle is 1 1/8 cm longer than the width, then;

L = W + 1 1/8

L = W +9/8

perimeter of the  rectangle = 2(L+W)

perimeter of the  rectangle = 2(W + 9/8 + W)

13 1/4 = 2(2W + 9/8)

53/4 = 4W + 9/4

4W = 53/4 - 9/4

4W = 44/4

4W = 11

W = 11/4

Hence the width of the rectangle is 11/4 or 2 3/4 cm

Recall that L = W + 9/8

L = 11/4 + 9/8

L = (2(11) + 9)/8

L = 31/8

L = 3 7/8cm

hence the length is 3 7/8 cm

Answer:

Length = 3 7/8cm

Width  = 2 3/4 cm

Answer:

The correct option is B.

Step-by-step explanation:

Consider the provided information.

The dimensions of bricks are in inches so convert foot into inches.

1 foot = 12 in

4 feet = 48 in

8 feet = 96 in

To calculate the number of bricks that fit into space we divide the space's volume by the volume of 1 brick.

[tex]\text{Number of bricks in space}=\dfrac{12\times 48 \times96}{3\times 4 \times8}[/tex]

[tex]\text{Number of bricks in space}=576[/tex]

Hence, 576 bricks can be fit into a space.

Therefore the correct option is B.