Rearrange the equation so q is the independent variable. -7q + 12r = 3q - 4r

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

We can try and isolate x on one side of the equation to find its value.

First let's apply the distributive property on the left side and get a simpler equation.

[tex]7(2-2x)=-13-5x\\\\14-14x = -13-5x[/tex]

Now, to simplify this down, we can add 5x to both sides.

[tex]14-14x + 5x = -13-5x + 5x\\\\14-9x=-13[/tex]

Now we can add 13 to both sides:

[tex]14-9x+13=-13+13\\\\27-9x=0[/tex]

Now we subtract 27 from both sides:

[tex]27-9x-27=0-27\\\\-9x=-27[/tex]

And finally we divide both sides by -9.

[tex]-9x\div-9=-27\div-9\\\\x=3[/tex]

Hope this helped!

Answer:

[tex]\Huge \boxed{x=3}[/tex]

Step-by-step explanation:

[tex]7(2-2x)= -13-5x[/tex]

Expanding brackets.

[tex]14-14x= -13-5x[/tex]

Adding 5x and -14 to both sides.

[tex]-14x+5x=-13-14[/tex]

[tex]-9x=-27[/tex]

Dividing both sides by -9.

[tex]x=3[/tex]

Answer:568.58

Step-by-step explanation:

Tan(35)=h/1200

1200tan(35)=h

568.57766=h

568.58

Answer:

-2.5

Step-by-step explanation:

Here in this question, we are interested in calculating the z-score for a student that had a particular mark at the test

To calculate the z-score, we need to use a mathematical formula

Mathematically;

z-score = (x - mean)/SD

From the question;

x = 76

mean = 86

standard deviation SD = 4

Plugging these values in the equation, we have;

z-score = (76-86)/4 = -10/4 = -2.5

Answer:

x = 8

Step-by-step explanation:

Standard form for inverse variation:

y = k/x

We now use the given information to find k.

y = 6 when x = 24

6 = k/24

k = 6 * 24

k = 144

The equation for this inverse relation is

y = 144/x

For y = 18, we get

18 = 144/x

18x = 144

x = 144/18

x = 8

Answer:

Step-by-step explanation:

To find the value of x when y = 18 we must first find the relationship between them.

The statement

y varies inversely as x is written as

where k is the constant of proportionality

From the question when

y = 6

x = 24

Substitute the values into the above equation

That's

Cross multiply

That's

k = 24(6)

k = 144

So the formula for the variation is

When

y = 18

Cross multiply

18x = 144

Divide both sides by 18

Hope this helps you

Answer:

(15x - 4) units

Step-by-step explanation:

5x-2 + 4x-4 + 6x - 8

15x - 14

Greetings from Brasil...

The average for a set of 9 elements will be

(A + B + C + D + E + F + G + H + I) ÷ 9 = 20

Let's make (A + B + C + D + E + F + G + H + I) like S

(I chose S to remember a sum)

Let us think.....

S ÷ 9 = 20

S = 20 × 9

S = 180

So,  (A + B + C + D + E + F + G + H + I) = 180

According to the statement, we will include a number (element J) in the sum to obtain a mean of (20 - 4), that is:

as seen above, (A + B + C + D + E + F + G + H + I) = 180, then

(180 + J) ÷ 10 = 16

(180 + J) = 160

J = 160 - 180

So, including the number - 20 (minus 20) in the original mean we will obtain a new mean whose result will be 16

Answer:

Approximately 6.642 years

Step-by-step explanation:

The given parameters are;

The amount in the deposit account = $6,000

The time in which the money will have trebled at 11% compound interest, is given as follows;

[tex]A = P\times \left (1 + \dfrac{r}{n} \right )^{n\cdot t}[/tex]

Where;

A = The amount at the end of the period

P = The amount in the deposit = $6,000.00

r = The rate of interest = 11%

t =  The periods that elapsed

n = The number of times the interest is applied per period of time, t = 1

For the money to have trebled, the amount generated at the end of the period will be 200% the amount deposited

Therefore, we have;

Amount, A, at the end of period = 200/100× $6,000 = $12,000

Substituting the values into the formula for the formula, we have;

[tex]\$ 12,000 = \$ 6,000\times \left (1 + \dfrac{0.11}{1} \right )^{1\times t}[/tex]

Which gives;

[tex]\$ 12,000 = \$ 6,000\times \left (1 + {0.11} \right )^{t}[/tex]

[tex]\left (1 .11} \right )^{t} = \dfrac{ \$ 12,000}{\$ 6,000} = 2[/tex]

t = ㏒(2)/(㏒(1.11)) ≈ 6.642 years which is approximately 6 years, 7 months and 24 days

Answer:

see explanation

Step-by-step explanation:

Given

10 = 7 - m ( subtract 3 from both sides )

3 = - m ( multiply both sides by - 1 )

- 3 = m , or

m = - 3

As a check

Substitute m = - 3 into the right side of the equation and if equal to the left side then it is the solution

7 - m = 7 - (- 3) = 7 + 3 = 10 = left side

Thus m = - 3 is the solution to the equation

Answer:

There could be many situations that use this ratio, but one example could be For every 4 pencils purchased 1 large eraser will be purchased.

But, as said before anything can be used as an example.

Answer:

14 giraffes, 28 people and 42 lions

Step-by-step explanation:

you add how many legs for all 3 x1

add this you have a total 14

double that is 28 triple that is 42

total 84

Answer: y= 156

Step-by-step explanation:

y= 12(3-4) (-5 -8)

Answer:

3x - 4 = 12

3x = 12 + 4

3x = 16 (divide both sides by 3 to get x)

3x/3 = 16/3

x = 5.333.......

Hi there! :)

Answer:

[tex]\huge\boxed{x = 10,000}[/tex]

Given:

[tex]logx = 4[/tex]

The given expression is a logarithm with a base of 10, therefore we can rewrite this as:

[tex]10^{4} = x[/tex]

Evaluate:

[tex]x = 10,000[/tex]

Answer:

8000 is a perfect cube but 3375 can be also but i m a little sure that 8000 is a perfect cube

Answer:

1.6 ounces

Step-by-step explanation:

Divide the ratio by 5 to get the number of ounces of dark chocolate used for 1 ounce of white chocolate, since 5/5 = 1

8/5 = 1.6

5/5 = 1

The new ratio is 1.6 : 1

This means that 1.6 ounces of dark chocolate are used for every 1 ounce of white chocolate

Answer:

The parenthesis should be placed as shown:

5 x (2+1) + 4

Step-by-step explanation:

What Kiki walks every week day is : 2 miles + 1 mile = (2+1)

since this is done 5 times per week (on weekdays) to obtain the total walked on weekdays, you multiply this by 5: 5 x (2+1)

and we need to add to this what Kiki walks on Saturdays (4 miles){

5 x (2+1) + 4

Answer:

C

Step-by-step explanation:

C on edge

Considering the discount and the sales tax, the equation that represents the situation is:

[tex]C(x) = 0.6955x[/tex]

-------------------------------

Thus, the equation that represents the cost is:

[tex]C(x) = x \times 0.65 \times 1.07 = 0.6955x[/tex]

A similar problem is given at https://brainly.com/question/23721710

Answer:

15.1

Step-by-step explanation:

15.1 times 15.1 = 228.01

Answer:

Nearest hundredth of 228 is 200 so the square root of 200 is 10under root 2.

Step-by-step explanation:

Hope it will help you :)

Answer:

See Below:

Step-by-step explanation:

Tenths place is just 1 decimal place thus it is 5.0

Hello, we need to solve this system, c being a real number.

[tex]\begin{cases}y &= 3x^2-5x\\y &= 2x^2-x-c\end{cases}[/tex]

y=y, right? So, it comes.

[tex]3x^2-5x=2x^2-x-c\\\\3x^2-2x^2-5x+x+c=0\\\\\boxed{x^2-4x+c=0}[/tex]

We can compute the discriminant.

[tex]\Delta=b^2-4ac=4^2-4c=4(4-c)[/tex]

If the discriminant is 0, there is 1 solution.

It means for [tex]4(4-c)=0 <=> 4-c=0 <=> \boxed{c=4}[/tex]

And the solution is

[tex]x_2=x_1=\dfrac{4}{2}=2[/tex]

If the discriminant is > 0, there are 2 real solutions.

It means 4(4-c) > 0 <=> 4-c > 0 <=> [tex]\boxed{c<4}[/tex]

And the solution are

[tex]x_1=\dfrac{4-\sqrt{4(4-c)}}{2}=\dfrac{4-2\sqrt{4-c}}{2}=2-\sqrt{4-c}\\\\x_2=2+\sqrt{4-c}[/tex]

If the discriminant is < 0, there are no real solutions.

It means 4(4-c) < 0 <=> 4-c < 0 <=> [tex]\boxed{c>4}[/tex]

There are no real solutions and the complex solutions are

[tex]x_1=\dfrac{4-\sqrt{4(4-c)}}{2}=\dfrac{4-2\sqrt{i^2(c-4)}}{2}=2-\sqrt{c-4}\cdot i\\\\x_2=2+\sqrt{c-4}\cdot i[/tex]

Thank you.

One way to do it is by cleverly rewriting terms and using some basic algebraic identities:

[tex]4^n\cdot 2^{-18}=1[/tex].

[tex]2^{2n-18}=2^0[/tex].

[tex]2n-18=0[/tex].

[tex]n=18/2=\boxed{9}[/tex].

Another way would be to use logarithms, namely:

[tex]4^n\cdot2^{-18}=1\implies n=\log_4\Big({\frac{1}{2^{-18}}}\Big)=\boxed{9}[/tex].

Hope this helps.

Answer:

n = 9.

Step-by-step explanation:

4^n = 1 / 2^-18

4^n = 2^18

2^2n = 2^18

2n = 18

n = 9.

Answer:

[tex]\Huge \boxed{2(-5x+11)}[/tex]

Step-by-step explanation:

[tex]7 - 3(2x - 5) - 4x[/tex]

Expanding brackets.

[tex]7-6x+15-4x[/tex]

Grouping like terms.

[tex](-6x-4x)+(7+15)[/tex]

Combining like terms.

[tex]-10x + 22[/tex]

Factoring the expression.

[tex]2(-5x+11)[/tex]

Answer:

The area of cheese is 388π cm.

Step-by-step explanation:

Given that,

Radius of pizza = 20 cm

Number of pieces = 12

Radius of circle = 1 cm

We need to calculate the area of pizza

Using formula of area

[tex]A=\pi\times r^2[/tex]

Put the value into the formula

[tex]A=\pi\times20^2[/tex]

[tex]A=400\pi\ cm^2[/tex]

We need to calculate the area of circle

Using formula of area

[tex]A'=\pi\times r^2[/tex]

Put the value into the formula

[tex]A'=\pi\times1^2[/tex]

[tex]A'=\pi\ cm^2[/tex]

Now, we multiply the result by 12 because they are 12 salamis.

So. the area of salamis will be

[tex]A'=12\pi\ cm^2[/tex]

We need to calculate the area of cheese

The total area of ​​the pizza and subtract the area of ​​the salamis

[tex]A''=A-A'[/tex]

Put the value in to the formula

[tex]A''=400\pi-12\pi[/tex]

[tex]A=388\pi\ cm^2[/tex]

Hence,  The area of cheese is 388π cm.

Answer: The correct answer is point and line. Explanation: These are two of the fundamental undefined terms in geometry. A line segment is a part of a line that has two defined points at each end; therefore "line" and "point" are used in the definition.

Step-by-step explanation:

The undefined terms which are needed to define a line segment are Point and line.

Learn more about Line segment:

https://brainly.com/question/23459010?referrer=searchResults

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The image to the question is missing, but I found a matching image, which is attached to this solution

Answer:

3 minutes = 13 dots

100 minutes = 401 dots

t minutes = 4(t) + 1 dots

Step-by-step explanation:

From the image, the following can be noticed:

time (Mins)       dots

0                          1

1                           5

2                          9

The pattern gotten from this progression is that, if the time is multiplied by 4, and the result added to one, the result will be the number of dots.

hence, when the time is 0 minutes:

0 × 4 = 0

0 + 1 = 1 ( 1 dot)

when the time is 1 minute

1 × 4 = 4

4 + 1 = 5 (5 dots)

when the time is 2 minutes

2 × 4 = 8

8 + 1 = 9 ( 9 dots)

Therefore,

when the time = 3 minutes

3 × 4 = 12

12 + 1 = 13 dots

at 100 minutes:

100 × 4 = 400

400 + 1 = 401 dots

at t miutes

t × 4 = 4t

4t + 1 = number of dots

Therefore number of dots at t minutes = 4(t) + 1

Answer:

see below

Step-by-step explanation:

Area 1 = 3 x 3 = 9 m²

Area 2 = 4 x 4 = 16 m²

Area 3 = 5 x 5 = 25 m²

The areas are 16 unit², 9 unit² and 25 unit² respectively.

The area is the area occupied by a two-dimensional flat surface. It has a square unit of measurement. Square units are used to measure it as well.

As per the given diagram:

We are given 3 squares, and we have to find out the area of each square.

The area of a square is given by a², where a is the length of the side of the square.

For area of the square with length of the side, 4 units.

A = (4)² unit² = 16 unit²

For area of the square with length of the side, 3 units.

A = (3)² unit² = 9 unit²

For area of the square with length of the side, 5 units.

A = (5)² unit² = 25 unit²

The areas are 16 unit², 9 unit² and 25 unit² respectively.

Hence, The areas are 16 unit², 9 unit² and 25 unit² respectively.

To learn more about surface area, click:

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Answer:

Some keywords include "starting amount," you should look out for this because it will be the y-intercept for the equation. Another keyword may be "daily" or "monthly" or "yearly," which would be the coefficient of x, or the amount that y increases with an increase of 1 in x.

pls mark brainliest :)

Answer: Choice A

If the compass isn't open wide enough, then the arcs won't intersect forming the points we need to create the perpendicular bisector.

Check out this link to see my response to the identical question answered 2 days ago

https://brainly.com/question/17191122

feel free to ask any questions you have if you're still stuck

Answer:

a

Step-by-step explanation:

Answer:

x = w / (56 + r)

Step-by-step explanation:

Given the equation :

19x + rx= -37x + w ; find x

Collecting like terms

19x + rx + 37x = w

Factorizing x in the Left hand side

x(19 + 37 + r) = w

x(56 + r) = w

Therefore we can obtain x by dividing both sides by (56 + r)

x(56 + r) / (56 + r) = w / (56 + r)

x = w / (56 + r)