Help me and show work plz <3

Answer:

[tex]area = length \times width \\ = (2x + 7)(3x - 4) \\ = (6 {x}^{2} - 8x + 21x - 28) \\ = (6 {x}^{2} + 13x - 28) \: sq \: units[/tex]

The area of the rectangle PQRS is given by the formula D) 6x²+13x-28.

Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.

The area of a rectangle is given by the formula:

A = l × w, where l is the length and w is the width.

In this case,

The length is 2x + 7 and the width is 3x - 4.

Therefore, the area of the rectangle is:

[tex]A = (2x + 7)(3x - 4)\\A = 6x^2 - 8x + 21x - 28\\A = 6x^2 + 13x - 28[/tex]

Therefore, the expression that describes the area of rectangle PQRS is D) 6x²+13x-28.

Learn more about algebraic Expression here:

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Step-by-step explanation:

i think

C: Inverse, as x increases, y also increases

Step-by-step explanation:

C: Inverse, as x increases, y also increases

hope it is helpful to you

Answer:

y = 2x + 3

Step-by-step explanation:

Step-by-step explanation:

here's your solution

==> by using Pythagoras theorem

==> base^2 = hypotenuse^2 - perpendicular^2

==> hypotenuse = 18 , perpendicular = 16

==> base^2 = 18^2 - 16^2

==> base^2 = 324 - 256

==> base^2 = 68

==> base = √68

==> base = 8.24

[tex]hope \: it \: helps[/tex]

Answer:

75

Step-by-step explanation:

don't know how to explain hope this helps

it would be 75

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Answer:

$1.26

Step-by-step explanation:

So you just have to find 2.25% of 56.

To find a certain percentage of something, you multiply it. Let's write out a sentence explaining what you need to do. You have to find:

2.25% of 56

Whenever you've got a sentence like this, all you've got to do is change the word "of" to a multiplication symbol. And now you've got an expression:

2.25% × 56

Let's convert the percentage to a decimal. To do this, you simply remove the percent symbol, then move the decimal point 2 places to the left.

2.25% = 0.0225

And now you have:

0.0225 × 56

Then you just do the math! I am assuming you already know how to do decimal multiplication so I'm not going to explain the process here.

But once you multiply 0.0225 × 56, you get an answer: 1.26

Hope this was helpful to you, and don't forget to choose the Brainliest answer!

Answer:

It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.

Step-by-step explanation:

An adult takes 400 mg of ibuprofen. Two hours later, there is 201.6 mg of

ibuprofen left in the persons system

This means that in 2 hours time

400- 201.6= 198.4 mg was used up.

We need only 25 mg in the system

so 400- 25= 375 mg  time is needed

time          mg

2 hour      198.4

x                375

Using the cross product rule

x= 375*2/198.4

x= 3.780 hrs

Which means 3 hours and (0.78* 60)= 46.8 minutes.

It will take 3 hours 46 minutes and 8 seconds to use 375 mg of ibrufen.

Answer:

12

Step-by-step explanation:

I forgot Sorry

Answer:

The answer is 7/8.

You can simply bring 9⅛ to the left hand side

You'll have your answer .

To verify

10-7/8 = 73/8

which further simplifies to 9⅛.

Thanks

Answer: 8x−20

Step-by-step explanation:

Distribute:

=(6)(2x)+(6)(−3)+(−2)(2x)+(−2)(1)

=12x+−18+−4x+−2

Combine Like Terms:

=12x+−18+−4x+−2

=(12x+−4x)+(−18+−2)

=8x+−20

Answer:

[tex]6 \times 2x = 12x\\ 6 \times - 3 = - 18 \\ - 2 \times 2x = 4x \\ - 2 \times 1 = - 2 \\ now \: add \: like \: terms \\ 12x - 4x = 8x \\ - 18 - 2 = 20 \\ \frac{ - 8x}{8} = \frac{20}{8} \\ x = 2.5 \: or \: \frac{5}{2} [/tex]

Step-by-step explanation:

brainiest please

Answer:

We first ALWAYS have to split the figure apart from each other,

lets split it into a triangle and a square!

Let's find the area of the triangle:

20(height) x 20(base) = 400!

400 x 1/2 (just dividing by 2) = 200!

*Remember* Formula of a triangle is:

B(base) x H(height) x 1/2 (basically dividing by 2)

Now time to find the area of the square!

20 x 20 = 400!

Now let's add both their areas:

400 + 200 = 600!

Step-by-step explanation:

600cm2 is your answer.

The figure has an area of 600 square centimeters.

In this question we need to determine the area of the entire figure, this area is the sum of the areas of a square and two symmetric right triangles, defined by respective formulas, that is:

[tex]A = A_{s} + 2\cdot A_{t}[/tex] (1)

Where:

By applying area formulas for squares and triangles, we expand (1):

[tex]A = x^{2} + \frac{1}{2}\cdot x\cdot y[/tex] (2)

Where:

If we know that [tex]x = 20\,cm[/tex] and [tex]y = 20\,cm[/tex], then the area of the figure is:

[tex]A = \frac{3}{2}\cdot (20\,cm)^{2}[/tex]

[tex]A = 600\,cm^{2}[/tex]

The figure has an area of 600 square centimeters.

We kindly invite to check this question on areas: https://brainly.com/question/16418397

Let's simplify the ratio

[tex]\\ \sf\longmapsto 15:12[/tex]

[tex]\\ \sf\longmapsto \dfrac{15}{12}[/tex]

[tex]\\ \sf\longmapsto \dfrac{5}{4}[/tex]

[tex]\\ \sf\longmapsto 5:4[/tex]

Answer:

D. 2√2

Step-by-step explanation:

sin 45° = 1/√2

P/H = 1/√2

x/4 = 1/√2

= 1/√2 × 4

= 4/√2

x = 4×√2/√2×√2

= 4√2 /2

= 2√2

Option D. 2√2

Answer:

75 ballons in 3 hours

Step-by-step explanation:

We know the ratio min to balloon, 12:5.

A common factor of 60 is 12 and 5. We know that 5 balloons will come out of the 12 interval mark. [tex]5*5:12*5[/tex] So each hour, we get 25 balloons per hour. Multiply 3 on both sides of the equation to get the total amount of balloons. [tex]5*5*3:12*5*3[/tex]

So, 75 balloons is how many she can blow up in 3 hours.

Answer:

I think it is B, so the correct answer is 40

Step-by-step explanation:

Answer:

The other guy is correct, the correct answer is B. 40.

Step-by-step explanation:

Under Students that have a cell phone and under students that have a part-time job the total amount of people is 40

Answer:

180 degrees - 101 degrees - 65 degrees = 14 degrees

Answer:

10 times

Step-by-step explanation:

distance covered once is equal to the perimeter of the square

perimeter of the square = 4 x length

4 x 30 = 120 ft

number of times = 1200 / 120 = 1-

Answer:

D

Step-by-step explanation:

The boat is a distance of 25 miles far away from the dock. which is the correct would be an option (D).

A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.

A boat leaves the dock and travels 7 miles due south, then 24 miles due west which is given in the question.

According to Pythagoras's theorem,

In a right-angled triangle, "the square of the hypotenuse is equal to the sum of the squares of the other two sides."

perpendicular²+base²=hypotenuse²

The hypotenuse = c

Here , perpendicular = 7 and base = 24

⇒ 24² + 7² = c²

⇒ 576 + 49 = c²

⇒ 625 = c²

⇒ c² = 625

⇒ c = 25

Therefore, the boat is a distance of 25 miles far away from the dock.

Learn more about the right triangle here:

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Answer:

14

Step-by-step explanation:

so use formula BH/2

so 7x4/2

28/2

area=14

Answer:

14

Step-by-step explanation:

succes

...............

Answer:

[tex]y = 19 \frac{1}{6} [/tex]

Step-by-step explanation:

[tex]5y + 32 = - 64 \\ 5y = - 64 - 32 \\ 5y = 96 \\ \frac{5y}{5} = \frac{96}{5} \\ y = 19 \frac{1}{6} [/tex]

hope this helps you.

Can I have the brainliest please?

Have a nice day !!!!

~Hi1315~

Answer:

1073 inches squared.

Step-by-step explanation:

To find how much paper is needed to cover the board, you have to find the area. The formula of area for rectangles is length times width or as you said in the question width times height.

To find the answer:

Area = length * width

Area = 29 * 37

Area = 1073 inches squared.

Don't forget to add the units!

Answer:

x = 154°

Step-by-step explanation:

The 4 interior angles of the quadrilateral sum to 360°

The angles between the tangents and the radii = 90°

Then

x = 360° - (90 + 90 + 26)° = 360° - 206° = 154°

Answer:  4

14 is shown... then you have 10 that is shown how much more would it take to make 14..... 4 more

10+x=14

x=4

Answer:

Equation: 14 - j = 10

j = 4

Step-by-step explanation:

Answer:

Area is measured in square kilometres

Step-by-step explanation:

Volume measures the space inside a 3-dimensional objects

Answer:

Step-by-step explanation:

we need to make two rectangles.  

one that is 13.1 Km  X  (9.3-4.2) Km

13.1 * 5.1 = 66.81

the next box is 4.2 X (13.1-8.1)

4.2*5 = 21

area total = 21 + 66.81 = 87.81[tex]Km^{2}[/tex]

Answer:

probability for numbers greater than seven would be: 5/12

probability for landing on blue would be: 2/8

Step-by-step explanation

first, I counted all of the spaces, then I counted only the blue , or only the numbers over 7.

Answer:

C

because

[tex]42 \div 7 = 6 \\ 7 \times 6 = 42[/tex]

Answer:

69 need to be added

Step-by-step explanation:

1300 +69 = 1369

37 ²  = 1,369

square root of 1,369 is 37

Answer:

[tex] Total \:area\approx 290.5\: ft^2 [/tex]

Step-by-step explanation:

Total area [tex] =\frac {1}{2} \pi r_1^2 +\frac {1}{2} \pi r_2^2 [/tex]

(where [tex] r_1 = 22/2 = 11 \: ft, \: \:\:r_2 = (30-22)/2 = 4 \: ft[/tex])

[tex]\therefore Total \:area=\frac {1}{2} \pi( r_1^2 + r_2^2) [/tex]

[tex]\therefore Total \:area=\frac {1}{2} \times 3.14(11^2 + 8^2) [/tex]

[tex]\therefore Total \:area=1.57(121 + 64) [/tex]

[tex]\therefore Total \:area=1.57(185) [/tex]

[tex]\therefore Total \:area=290.45\: ft^2 [/tex]

[tex]\therefore Total \:area\approx 290.5\: ft^2 [/tex]