A truck driver is trying to decide between two jobs offers. Driving company A offers pay for $600 per week, plus $0.15 per mile driven. Driving company B offers $700 per week, plus $0.10 per mile driven. The truck diver wants to know how many miles would they need to drive in a week to be making the same amount between the 2 companies.

Answer:

Part 1

The drawing of the quadrilateral is included here

Part 2

The area of the quadrilateral is 60.5 unit²

Step-by-step explanation:

Part 1

Please find attached the given drawing of the quadrilateral created with Microsoft Excel

Part 2

The given quadrilateral ABCD comprises of a trapezium AECD and triangle ABE

The height of the trapezium, h₁ = 4 units

For segment BC, we have;

The slope = (-5 - (-2))/(5 - (-4)) = -1/3

The equation of the line BC in point and slope form is y - (-5) = -1/3×(x - 5)

Which gives;

y = -1/3×(x - 5) - 5 = -x/3 + 5/3 - 5 = -x/3 - 10/3

The y-intercept is (0, -10/3)

The lengths of the opposite parallel sides of the trapezium AECD are;

a = 5 - (-2) = 7 and b = 7 - (-10/3) = 31/3

The area of the trapezium AECD = ((a + b)/2) × h₁ = ((7 + 31/3)/2) × 4 = 104/3 unit²

The height of triangle

The area of ABE, h₂ = 5

The base of triangle ABE = b = 31/3

The area of triangle ABE = 1/2 × b × h₂ = 1/2 × 31/3 × 5 = 155/6 unit²

The area of quadrilateral ABCD = The area of the trapezium AECD + The area of triangle ABE

∴ The area of quadrilateral ABCD = 104/3 unit² + 155/6 unit² = 60.5 unit².

The ratio 4/6 is the same as 2/3 because they have the same proportion.

To find a ratio that is the same as 2/3, multiply or divide both the numerator and the denominator by the same non-zero number.

1. Multiplying by the same number:

  If you multiply both the numerator and the denominator of 2/3 by 2, you get:

= (2 × 2) / (3 × 2)

= 4/6

So, the ratio 4/6 is the same as 2/3.

2. Dividing by the same number:

  Divide both the numerator and the denominator of 2/3 by 3, you get:

= (2 ÷ 3) / (3 ÷ 3)

= 2/3

So, the ratio 2/3 remains the same.

In conclusion, the ratio 4/6 is the same as 2/3.

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Answer:

√7; ∛13²; ⁵√x³; and the last is b root of m to the power of a

Step-by-step explanation:

When you take a number to the power of a fraction, you write it as the root of the denominator to the power of the numerator.  The denominator is the bottom number and the numerator is the top number.  

Step-by-step explanation:

x+2=0 x=-2

x^3+3x^2+5x+6

(-2)^3+3(-2)2+5(-2)+6

-8+12-10+6

0

hence x+2 is a factor of x^3+3x^2+5x+6

x+2=0

x=-2

2x+4

2(-2)+4

-4+4

0

also x+2 is a factor of 2x+4

Answer:

w=4

Step-by-step explanation:

Final Answer: [tex]g = 1[/tex]

Steps/Reasons/Explanation:

Question: How do you solve [tex]-3 + 5 +6g = 11 - 3g?[/tex]

Step 1: Simplify [tex]-3 + 5 + 6g[/tex] to [tex]6g + 2[/tex].

[tex]6g + 2 = 11 - 3g[/tex]

Step 2: Subtract [tex]2[/tex] from both sides.

[tex]6g = 11 - 3g - 2[/tex]

Step 3: Simplify [tex]11 - 3g - 2[/tex] to [tex]-3g + 9[/tex].

[tex]6g = -3g + 9[/tex]

Step 4: Add [tex]3g[/tex] to both sides.

[tex]6g + 3g = 9[/tex]

Step 5: Simplify [tex]6g + 3g[/tex] to [tex]9g[/tex].

[tex]9g = 9[/tex]

Step 6: Divide both sides by [tex]9[/tex].

[tex]g = 1[/tex]

~I hope I helped you :)~

Answer: -10

Step-by-step explanation: In slope-intercept form, the formula is y = mx + b with m = slope and b = y-intercept. In the expression, the "b" is -10. Therefore, the b value of this equation is -10.

Answer: 15

Step-by-step explanation:

You have to multiply what Jackson made last year (24 cups) times 10 which equals 240. after that you do 240 divided by 4, which equals 60, and 60 divided by 4 again, which gives us the answer (15) (hope you could understand that) Also sorry for not answering in time!

Answer: -4.5

Step-by-step explanation:

Answer:

PR = 7.9

Step-by-step explanation:

By sine rule:

[tex] \frac{12.5}{ \sin \: 66 \degree} = \frac{PR}{ \sin \: 37 \degree} \\ \\ \frac{12.5}{ 0.9135454576} = \frac{PR}{ 0.6018150232} \\ \\ PR = \frac{12 \times 0.6018150232}{0.9135454576} \\ \\ PR = \frac{12 \times 0.6018150232}{0.9135454576} \\ \\PR = \frac{7.22178028}{0.9135454576} \\ \\ PR = 7.90522269 \\ \\ PR \approx \: 7.9[/tex]

Answer:

y=2.25

Step-by-step explanation:

0.25x9=2.25

Answer:

Let

Tinky's age=x

Laa's age=x+2

According to the question

[tex]\qquad\quad {:}\longmapsto\sf 5 (x+x+2)-1=x (x+2)[/tex]

[tex]\qquad\quad {:}\longmapsto\sf 5(2x+2)-1=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x+5-1=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x+4=x^2+2x [/tex]

[tex]\qquad\quad {:}\longmapsto\sf 10x-2x+4=x^2 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x^2=8x+4 [/tex]

[tex]\qquad\quad {:}\longmapsto\sf x^2-8x-4=0 [/tex]

Answer:

18

Step-by-step explanation:

[tex]\frac{6}{5} =\frac{N}{15} \\N=\frac{6}{5} \times 15=18[/tex]

Answer:

45

Step-by-step explanation:

this question was asked three times by the same account and I detailed the answer on the first

Answer:

Part A)

[tex]C(t)=25+8t[/tex]

Part B)

[tex]C(35)=\$305[/tex]

Step-by-step explanation:

We will let t represent the total number of t-shirts printed.

We are charged an initial fee of $25. So, for our linear model, our constant is 25. And each t-shirt printed costs an additional $8. So, for t t-shirts, it will cost an additional 8t dollars.

Part A)

So, from the above information, we can write the following function:

[tex]C(t)=25+8t[/tex]

Where C(t) is the total cost for t shirts.

The 25 represents our initial fee and the 8t represents the cost for t t-shirts.

Part B)

So, if we have a team of 35 members, we will need 35 t-shirts.

Then the total cost will be given by:

[tex]\begin{aligned}C(35)&=25+8(35)\\&=25+280\\&=\$305\end{aligned}[/tex]

So, it will cost a total of $305.

Answer:

True.

Step-by-step explanation:

Note the point values: (x , y) = (1 , 8) ∴ x = 1, y = 8

Plug in the corresponding numbers to the corresponding variables in the equation:

y > x + 5

(8) > (1) + 5

8 > 1 + 5

8 > 6

8 is greater than 6, ∴ y is greater than x + 5.

~

Answer:

yes it would

Step-by-step explanation:

x=1 + 5 is six

y=8

8 > 6

8 > 1

i think that's right lol

Answer:

Sylvia’s line is a line of best fit because her line is close to most of the data points. Patrick’s line is not a line of best fit as his line is not close enough to all the data points.

Answer:

1. it would be 80% of the original price

2.400×.20=$80

80 dollars would be the amount you would discount from the original price.

3.the sales price is $320

400-80=320

Step-by-step explanation:

Hope this helped :)

also hi!

Answer:

2b+6=14, b=4

Step-by-step explanation:

maths

Answer:

[tex]d=4\sqrt{5}[/tex]

Step-by-step explanation:

Write down both endpoint coordinate points:

[tex](-5,-3)(-1,5)[/tex]

Use the distance formula:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2} \\\\(x_{1},y_{1})(x_{2},y_{2})[/tex]

Insert values:

[tex]d=\sqrt{(-1-(-5))^2+(5-(-3))^2} \\\\d=\sqrt{(-1+5)^2+(5+3)^2}[/tex]

Simplify parentheses:

[tex]d=\sqrt{(4)^2+(8)^2}[/tex]

Simplify exponents:

[tex]d=\sqrt{16+64}[/tex]

Add:

[tex]d=\sqrt{80}[/tex]

Find the square root. Find multiples of 80 that are perfect squares:

[tex]16*5=80\\\\\sqrt{16*5}\\\\\sqrt{16}*\sqrt{5} \\\\[/tex]

[tex]d=4\sqrt{5}\\\\d=8.94427190...[/tex]

:Done

Answer:

m∠C = 54°, m∠CDB = 100°

Step-by-step explanation:

in ΔABC, m∠A= 37° and m∠B = 89°

The sum of all 3 angles in any triangle is 180° so

m∠C = 180-37-89 = 54°

m∠CDB = 180-80 = 100° because any line has a 180°angle

Answer:

B

Step-by-step explanation:

the 0.1 is rate of change decreasing and 10.1 is original amount

Answer:

0 ≤ y ≤ 281.50

Step-by-step explanation:

i did the math

Answer:

A possible answer for t could be 3

Step-by-step explanation:

I honestly don't know if this is right, but yeah here ya go!

All values of t which are greater than 2 , are the solutions of given inequality.

It is given that,

The product of t and 6 is greater than 12.

So that, inequality is,

                    [tex]6*t > 12[/tex]

Divide both side by 6.

                 [tex]6*t > 12\\\\t > \frac{12}{6} \\\\t > 2[/tex]

Therefore, all values of t which are greater than 2 , are the solutions of given inequality.

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Answer:

12 I think?

Step-by-step explanation:

The answer to the famous joke is "It depends on how hard you throw them." It's important to note that this joke is dark humor and can be considered offensive or inappropriate.

It plays on a shocking and insensitive idea, which is why it's not suitable for all audiences. Jokes like this should be used with extreme caution, as they can cause discomfort or distress to others.

Humor should be inclusive and respectful of everyone's feelings and sensitivities. While jokes can be a form of entertainment, it's essential to choose them wisely and be mindful of their potential impact on others. In most social settings, it's best to avoid jokes that involve sensitive subjects or potentially harmful content.

To know more about dark humor, click here.

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------------The given question is incomplete, the complete question is:

"What is the answer to the famous joke, "How many babies does it take to paint a wall?"---------------