Leo needs to write an essay for history class. He estimates that he can write 1.5 pages per
hour, and his essay needs to be 6 pages long.
Write an equation that shows the relationship between the number of hours Leo spends
writing, x, and number of pages he has left to write, y.

Answer:

[tex] \bold{ x = - \frac{5}{6} }[/tex]

Step-by-step explanation:

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[tex] \large \sf{ \frac{4x + 9}{3x + 11} = \frac{4x + 3}{3x + 2} }[/tex]

Solve for x.

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[tex] \sf (4x + 9)(3x + 2) = (4x + 3)(3x + 11) \\ \\ \sf 4x(3x + 2) + 9(3x + 2) = 4x(3x + 11) + 3(3x + 11) \\ \\ \sf 12 {x}^{2} + 8x + 27x + 18 = 12 {x}^{2} + 44x + 9x + 33 \\ \\ \sf 12 {x}^{2} + 35x + 18 = 12 {x}^{2} + 53x + 33[/tex]

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[tex] \sf 0 = 12 {x}^{2} + 53x + 33 - 12 {x}^{2} - 35x - 18 \\ \\ \sf 0 = 18x + 15[/tex]

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[tex] \sf - 15 = 18x[/tex]

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[tex] \large{ \sf \frac{ - \cancel{15} \tiny {5}}{ \cancel {18} \tiny6 } = x} \\ \\ \boxed{ x = - \frac{5}{6} }[/tex]

Answer:

[tex]\textsf{$x=-\dfrac{5}{6}$}[/tex]

Step-by-step explanation:

Given: [tex]\textsf{$\dfrac{4x+9}{3x+11}=\dfrac{4x+3}{3x+2}$}[/tex]

1. Cross-multiply

(4x + 9)(3x + 2) = (4x + 3)(3x + 11)

2. Distribute

⟶ (4x + 9)(3x + 2) = (4x + 3)(3x + 11)

⟶ 4x(3x) + 4x(2) + 9(3x) + 9(2) = 4x(3x) + 4x(11) + 3(3x) + 3(11)

⟶ 12x² + 8x + 27x + 18 = 12x² + 44x + 9x + 33

3. Combine like terms

⟶ 12x² + 8x + 27x + 18 = 12x² + 44x + 9x + 33

⟶ 12x² + 35x + 18 = 12x² + 53x + 33

4. Subtract 12x² from both sides

⟶ 12x² - 12x² + 35x + 18 = 12x² - 12x² + 53x +33

⟶ 35x + 18 = 53x + 33

5. Subtract 35x from both sides

⟶ 35x - 35x + 18 = 53x - 35x + 33

⟶ 18 = 18x + 33

6. Subtract 33 from both sides

⟶ 18 = 18x + 33

⟶ 18 - 33 = 18x + 33 - 33

⟶ -15 = 18x

7. Divide both sides by 18 to isolate the variable

[tex]\longrightarrow\textsf{$\dfrac{-15}{18}=\dfrac{18x}{18}$}\\\\\\\longrightarrow\textsf{$\dfrac{-15}{18}=x$}\\\\[/tex]

8. Reduce

[tex]\longrightarrow\textsf{$\dfrac{-15\div 3}{18\div 3}=x$}\\\\\\\longrightarrow\textsf{$-\dfrac{5}{6}=x$}[/tex]

Answer:To find out the Area of a scalene triangle whose three sides are given, first find out the half perimeter

s = (a+b+c)/2

where a, b, and c are the length of the three sides of a triangle

s = (35 + 45 + 50) / 2

  = 130 / 2

  = 65 cm

Area of scalene triangle is given by

A = sqrt (s (s - a) (s - b) (s - c))

   = sqrt (65 * (65 - 35) ( 65 - 45) (65 - 50))

   = sqrt (65 * 30 * 20 * 15)

   = sqrt (585000)

   = 764.853 sq cm

Step-by-step explanation:

Answer:

Lesser x = -14

Greater x = 0

Step-by-step explanation:

Given equation:

[tex]\sf (x+7)^2-49=0[/tex]

Add 49 to both sides:

[tex]\implies \sf (x+7)^2-49+49=0+49[/tex]

[tex]\implies \sf (x+7)^2=49[/tex]

Square root both sides:

[tex]\implies \sf \sqrt{(x+7)^2}=\sqrt{49}[/tex]

[tex]\implies \sf x+7=\pm7[/tex]

Solve for x:

[tex]\implies \sf x+7=7 \implies x=0[/tex]

[tex]\implies \sf x+7=-7 \implies x=-14[/tex]

As -14 < 0

Answer: Y= 1/3x - 2

Step-by-step explanation:

Answer:

Not sure if you still want the answers but here you go

Step-by-step explanation:

Noah's mean: 87

Noah's median: 85.5

Noah's mode: 85

Gabriel's mean: 87.17

Gabriel's median: 86

Gabriel's mode: 86

Answer:

What are Noah’s mean, median, and mode?

✔ 87, 85.5, 85

What are Gabriel’s mean, median, and mode?

✔ 87.17, 86, 86

Step-by-step explanation:

just did it they are correct

Answer:

∠ ABC = 67°

Step-by-step explanation:

the angle between a tangent and a chord is equal to the angle in the opposite segment, that is

∠ ABC = ∠EAC = 67°

We will see that the percentage in which the price decreases is 90%, thus the age is 90 years.

How old is Andrés?

We know that the percentage in which the price decreases is equal to the age of Andrés.

We can write:

P = $4,000 = $40,000*(1 - k)

Where k is the percentage in decimal form.

Solving for k:

k = ($40,000 - $4,000)/$40,000 = 0.9

To obtain the percentage, we multiply by 100%.

0.9*100% = 90%

We conclude that Andrés is 90 years old.

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Answer:

Here is the long division

Step-by-step explanation:

Answer:

3  1/2

Step-by-step explanation:

So because the fraction in attatched to the whole numbers have the same denominator you can literally just subtract the whole numbers and the fractions. (You do them seperatly) (5-2)=3   (3/4-1/4) = 2/4 or 1/2

Answer:

x = 15

Step-by-step explanation:

45/3 = 15

Answer:

  (a)  362.5 m²

Step-by-step explanation:

The ratio of areas is proportional to the square of the ratio of side lengths.

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  larger/smaller = (35 cm)/(28 cm) = 5/4

The larger area is the square of this scale factor times the smaller area.

  (5/4)²(232 m²) = 362.5 m²

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Additional comment

We assume the units are intended to match. It is impossible for a pentagon with a side length of 28 cm to have an area of 232 m². A regular pentagon with a side length of 28 cm will have an area of about 0.1349 m².

Answer:

AB = 6.97 (nearest hundredth)

Step-by-step explanation:

Sine Trigonometric Ratio

[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]

where:

Given:

Substitute the given values and solve for AB:

[tex]\implies \sf \sin(\theta)=\dfrac{O}{H}[/tex]

[tex]\implies \sf \sin(35^{\circ})=\dfrac{4}{AB}[/tex]

[tex]\implies \sf AB=\dfrac{4}{\sin(35^{\circ})}[/tex]

[tex]\implies \sf AB=6.973787182...[/tex]

Therefore, AB = 6.97 (nearest hundredth)

The products of powers formula when multiplying a number having exponents is suggest that in the multiplication of a number with different powers, the power are added.

The products of powers formula is used to find the product of two exponent numbers.

The products of powers formula when multiplying a number having exponents can be given as,

[tex]a^m\times a^n=a^{(m+n)}[/tex]

Here, (a,m and n) are the number real numbers. In this formula, m and n is the power of the common number a.

Hence, the products of powers formula when multiplying a number having exponents is suggest that in the multiplication of a number with different powers, the power are added.

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Answer:

Б) (2,3)

Step-by-step explanation:

Заметь [tex]y=\frac{6}{x}\rightarrow 3=\frac{6}{2}[/tex]. Поскольку это утверждение верно, то ваш ответ Б) (2,3).

Answer:

576

Step-by-step explanation:

24 squared which means 24 multiplied by itself(24)

I hope my answer is okay

Answer:

Mean: 599, Median 60

Step-by-step explanation:

0,0,0,14,16,30,60,260,300,420,1500,2592,2595

add them all up it gives you 7,787 divided by the number of numbers(13) to find the mean.

Mean: 599

Sort them from smallest to greatest and the number directly in the middle is the median.

Median: 60

Answer:

13.9

Step-by-step explanation:

d = √((x2 - x1)^2 + (y2 - y1)^2)

Find the difference between coordinates:

(x2 - x1) = (-5 - 0) = -5

(y2 - y1) = (-3 - 10) = -13

Square the results and sum them up:

(-5)^2 + (-13)^2 = 25 + 169 = 194

Now Find the square root and that's your result:

Exact solution: √194

Approximate solution: 13.9284

No he is wrong

If he is referring to table only then correct else wrong

Always 2^x can't have less intercept.

After some while it will cross 5(x)².

You can observe it from graphs

Answer:

I think the answer is b ill look into it a Lil more

Answer:

99

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

Answer:

It depends

Step-by-step explanation:

Based on the given info it depends on how much the recipe calls for.  32 fluid ounces is equal to 4 cups, 1 quart, .25 gallons, 64 tablespoons, 192 teaspoons, and 2 pints.  I really hope this answer helped you, and it honestly depends on how much the recipe calls for. :)

Answer:7

Step-by-step explanation:

Answer:

Its 0.191

Step-by-step explanation:

Answer:

c) 0.191

Step-by-step explanation:

Answer: [tex]the[/tex] [tex]answer[/tex] [tex]is[/tex] [tex]7.6[/tex] or [tex]\sqrt{58}[/tex]

Step-by-step explanation:

[tex](-6-(-3))^2 + (7-0)^2[/tex]

[tex](-6, 7) and (-3, 0)[/tex]

[tex]the[/tex] [tex]distance[/tex] [tex]between[/tex] [tex]the[/tex] [tex]two-points[/tex] [tex]rounding[/tex] [tex]to[/tex] [tex]the[/tex] [tex]nearest[/tex] [tex]tenth[/tex].

[tex](-6,7)=(-6=[/tex]

[tex]7=)[/tex]

[tex](-3,0)=(-3=[/tex]

[tex]0=)[/tex]

[tex]Exact Form:\sqrt{58}[/tex]

The answer is [tex]7.2[/tex] [tex](7.61577310)[/tex] and [tex]\sqrt{58}[/tex]

Answer: [tex]\sqrt{58}[/tex] and [tex]7.6[/tex]

Answer:

8:28

Step-by-step explanation:

4(5+2)

4(7)

28

Please give brainliest!

Hope this helps :)

the answer to the expression 8:4(5+2) is approximately 0.2857.

To solve the expression 8:4(5+2), we follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).

First, we simplify the expression inside the parentheses: 5 + 2 = 7.

Next, we perform the multiplication: 4 * 7 = 28.

Finally, we perform the division: 8 ÷ 28 = 0.2857 (rounded to four decimal places).

So, the answer to the expression 8:4(5+2) is approximately 0.2857. Remember that it's crucial to follow the order of operations to arrive at the correct result in mathematical expressions.

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Answer:

the difference in their ages is 31/2

Step-by-step explanation:

151/2=2x15+1/2=31/2

This answer does look right to me.

The number of cans the school will collect is T = 190 c.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Given:

Each class is challenged to collect 190 cans.

If there are c classes in the school.

Then, the number of Cans can be collected is:

= Number of classes x number of cans each class collect

=  c x 190

= 190 c

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The points on the function g(x) are  (–7, –10.206) (–2.5, –4.474), (0.5, –0.221) (4, –0.017) (9, –0.003)

The function f(x) is given as:

[tex]f(x) = -\frac 27(\frac 53)^x[/tex]

The rule of reflection across the y-axis is:

g(x) = f(-x)

So, we have:

[tex]g(x) = -\frac 27(\frac 53)^{-x[/tex]

All the points in the options are on the curve of the function g(x) except (0, -1.773)

Hence, the points on the function g(x) are  (–7, –10.206) (–2.5, –4.474), (0.5, –0.221) (4, –0.017) (9, –0.003)

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Answer: 1  4  6

Step-by-step explanation: its right bro.