WRITE AN EQUATION AND SOLVE FOR THE VARIABLE

Answer: width = 11 m

Concept:

Here, we need to understand how to find the area of a rectangle.

In geometry, the area can be defined as the space occupied by a flat shape or the surface of an object.

A = w · l

w = width

l = length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

w = w

l = w + 3

A = 154 m²

Given formula

A = w · l

Substitute values into the formula

154 = w · (w + 3)

Expand Parentheses (Distributive property)

154 = w² + 3w

Subtract 154 on both sides

154 - 154 = w² + 3w - 154

0 = w² + 3w - 154

Solve for the quadratic equation

(w - 11) (w + 14) = 0

w = 11 or w = -14 (Neglected because length cannot be negative)

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x=-36

Step-by-step explanation:

Answer:

98 in²

Step-by-step explanation:

14x7=98

9514 1404 393

Answer:

Step-by-step explanation:

(a) Solving the x-equation for u gives ...

  u = (x -1)/4

Differentiating both equations with respect to u, we have ...

  dy/du = 1 -4u

  dx/du = 4

Then dy/dx is ...

  dy/dx = (dy/du)/(dx/du) = (1 -4u)/4

Substituting for u gives ...

  dy/dx = (1 -4(x -1)/4)/4

  dy/dx = (2 -x)/4

__

(b) The approximate change in y is ...

  ∆y ≈ (dy/dx)(∆x)

For ∆x = 2.98 -3.00 = -0.02, and x=3, the approximate change is ...

  ∆y ≈ (2 -3)/4(-0.02)

  ∆y ≈ 0.005

Answer:sorry I don’t speak proeze najsztbsza but do you know the way

Step-by-step explanation:

Answer:

1. (a) x-0.33x and 0.67x

1. (b) The differences between the two is the expression and the variable (x) are in difference place.

2. (a) 7h

2. (b) 5h

2. (c) I'm not complete sure but I assume you add 7h and 5h but add a expression using those numbers and variable.

Step-by-step explanation:

~~I hope this helps~~

I'm sorry if it's late. I go to 12k as well, I'm in 7th grade. :)

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

B it originally cost 12000

Step-by-step explanation:

the depriciation factor is  0.75^t and the original value was 12000

Answer:

(2) The motorcycle cost $12,000 when purchased.

Step-by-step explanation:

\(V(t)=12000(0.75)^t\)

\(V(0)=12000(0.75)^0=12000\)

\(V(1)=12000(0.75)^1=9000\)

\(V(2)=12000(0.75)^2=6750\)

etc.

⇒ Initial cost = $12,000

⇒ The motorcycle's value is decreasing by 25% each year.

Answer:

B. 75

Step-by-step explanation:

Note that we can get the equation \(45 = 60\% \cdot x\), where x is the total number of m&m's eaten. This becomes \(45 = \frac{60}{100}x \Rightarrow 45 = \frac{3}{5}x \Rightarrow x = 75\)

Answer:

Explanation:

From the question, we are given the ratio of males to females in the class as 5 to 9.

Total ratio = 5+9 = 14

Let the total number of student in the class be x. If there are 45 females then;

9/14 * x = 45

9x/14 = 45

Cross multiply;

9x = 14 * 45

x = 14 * 5

x = 70

Hence the total number of student in the class is 70

Get the number of male students;

Total students = Male + Female

70 = Male + 45

Male = 70-45

Male = 25

Answer:

Step-by-step explanation:

To get 45 females, you have to multiply 9 by a number. That number is 5 because 5 times 9 is 45. So what you do here is what you do with the other  number, (5), so 5 times 5 is 25. That means there were 25 males in the lunchroom.

Answer:

1.A

2.A

3.B

4.B

Step-by-step explanation:

That the answer

Answer: B, D

Step-by-step explanation:

You Can just count the blocks

B: has 24 and D has 24 which both of them are between 30 and 20

Answer:

Step-by-step explanation:

D and b

Answer:

The answer is Seven plus Four A.

Answer:

that's 65x01(81) because u have to bring your number up and then over

that's t2x41

Answer:

x = - 9

Step-by-step explanation:

2x + 7 = - 11 ( subtract 7 from both sides )

2x = - 18 ( divide both sides by 2 )

x = - 9

The answer is:

x = -9

Work/explanation:

The point of equations is to find the variable's value by isolating it step-by-step.

For this equation, the variable is x.

To isolate it, I will perform a few operations.

First, I will subtract 7 from each side:

\(\sf{2x+7=-11}\)

\(\sf{2x=-11-7}\)

\(\sf{2x=-18}\)

Divide each side by 2

\(\sf{x=-9}\)

Hence, x = -9.

\(\rule{350}{4}\)

From the sine law we have that:

from the first part of the equality, we obtain:

since sin(17)/sin(71) is less that 1, we conclude that RT is longer than SR

Now, comparing SR and ST with the equalities, we have that:

Then ST is longer than SR, now we need to compare ST AND RT

Then ST is longer Than RT, we conclude that ST is longer than RT which is longer than SR then the correct option is the SECOND ONE (RS,TR,ST)

Answer:

-1(-4)=4

ok I hope it helps you I think that is the answer

Answer: 3,348 cubic inches

Step-by-step explanation:

1. Since we know that volume= length x width x height, then we can plug our values into this equation.

2. So, we would do volume= 9 x 12 x 21.

3. 9 x 12 = 108, and 108 x 21 =2,268.

4. Now that we have both of the volumes, we have to add them together.

5. 1,080 + 2,268 = 3,348

6. The combined volume is 3,348 cubic inches.

The Product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

To find the product and simplify completely, you need to perform multiplication and simplify the resulting fraction. Here, we are multiplying the following fractions and mixed numbers:1, 5/8, 2, and 3/5.The first step is to convert the mixed numbers into improper fractions.

We do that by multiplying the whole number by the denominator, and then adding the numerator.For 1 5/8, we get:$$1 \frac{5}{8} = \frac{8}{8} \times 1 + \frac{5}{8} = \frac{13}{8}$$For 2, we get:$$2 = \frac{2}{1} = 2 \times \frac{1}{1} = \frac{2}{1}$$For 3/5, we leave it as is since it's already a fraction.

Now that we have all the numbers as fractions, we can multiply them:$$\frac{13}{8} \times \frac{2}{1} \times \frac{3}{5} = \frac{13 \times 2 \times 3}{8 \times 1 \times 5} = \frac{78}{40}$$

To simplify the fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2:$$\frac{78}{40} = \frac{2 \times 39}{2 \times 20} = \frac{39}{20}$$

Therefore, the product of 1 5/8, 2, and 3/5 is equal to 39/20, which is simplified completely. The answer is 39/20.

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The scale factor is: 1.8

because of :

\(\frac{36}{20}=1.8\\ \\\\\frac{25.2}{14}=1.8\)

Answer:

4 cups of lemonade

Step-by-step explanation:

lemonade: tea   : total

1/2                1 1/2     1/2 + 1 1/2 = 2

We need a total of 16

16/2 = 8

Multiply each number by 8

lemonade: tea   : total

1/2 *8               1 1/2 *8     2*8

4                   12      16

4 cups of lemonade

There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.

Let's solve the problem step by step:

Identify the given information:

The ratio of red pens to blue pens is 4 to 5.

There are a total of 342 pens in the drawer.

Set up the ratio equation:

Let's assume the number of red pens is 4x, and the number of blue pens is 5x.

Here, 'x' is a scaling factor that allows us to find the actual number of pens.

We can write the equation as: 4x + 5x = 342.

Simplify and solve the equation:

Combining like terms, we have 9x = 342.

Divide both sides of the equation by 9 to solve for 'x':

x = 342 / 9 = 38.

Calculate the number of red pens and blue pens:

Now that we have the value of 'x', we can find the number of red and blue pens:

Number of red pens: 4x = 4 × 38 = 152.

Number of blue pens: 5x = 5 × 38 = 190.

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Answer:

Point A is at (0, –4).

Point B is at (–8, –7).

Step-by-step explanation:

point A is 4 units down : y = –4

Point B is 8 units to the left : x = –8

and 7 units down: y = –7

A : (0, –4)

B : ( –8, –7)

The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

Answer:

-10x-15

Step-by-step explanation:

So first we start off with 5(-2x-3)

Next, we distribute the 5 to the -2x to get -10x.

Next, we distribute the 5 to the -3 to get -15.

Therefore,

-10x-15 is correct

Answer:

-10x-15

Step-by-step explanation:

It's 10x-15, because you just need to simplify it.

It is the same thing as (5 x (-2x)) - (5 x 3), if you use the distributive property.

that is the same as -10x-15

Answer:

It's correct!

Step-by-step explanation:

20.9/10000=0.00209

pls mark me as brainliest!

Answer:

6. -f         7. f= 6/8

Step-by-step explanation:

Hope dis helps!!

9514 1404 393

Answer:

  (2 1/8, 3/8)

Step-by-step explanation:

The midpoint coordinates are the average of the end point coordinates.

  ((-3/4, 1/4) +(5, 1/2))/2 = (-3/4 +20/4, 1/4 +2/4))/2 = (17/4, 3/4)/2 = (17/8, 3/8)

  = (2 1/8, 3/8)

The table of inputs that satisfy the given function is (-2, 25), (-1, -30), (0, 35), (1, -40) and (2, -45).

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the function f(x) = -5(x + 7)

When x = -2; f(-2) = -5(-2 + 7) = -25

When x = -1; f(-1) = -5(-1 + 7) = -30

When x = 0; f(0) = -5(0 + 7) = -35

When x = 1; f(1) = -5(1 + 7) = -40

When x = 2; f(2) = -5(2 + 7) = -45

The table of inputs that satisfy the given function is (-2, 25), (-1, -30), (0, 35), (1, -40) and (2, -45).

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