the answer to this question

Final answer:

To determine Jackson's total pay before deductions, we calculate his regular pay for 40 hours and his pay for the extra hours he worked.

Explanation:

To calculate Jackson's total pay before deductions, we need to determine his regular hourly rate and the number of extra hours he worked.

First, we need to calculate Jackson's regular pay for 40 hours. Let's say his regular hourly rate is $10. So, his regular pay for 40 hours would be $10 x 40 = $400.

Next, we need to calculate his pay for the extra 3 hours he worked. Since he earns 1.5 times his normal hourly rate for each extra hour, his pay for 3 extra hours would be 3 x ($10 x 1.5) = $45.

Therefore, Jackson's total pay before deductions for the week would be $400 (regular pay for 40 hours) + $45 (extra pay for 3 hours) = $445.

x + y =39

x = y+7

y+7 +y = 39

2y +7 = 39

2y =32

y = 32/2 = 16

x = 16+7 = 23

The pattern is as follows:

                 125     119     113    107    101   95

We are asked to create a pattern such that each digit is 6 less than the previous digit of the pattern.

Now, we have to start with 125.

                     125-6=119

                     119-6=113

                     113-6=107

                      107-6=101

                         101-6=95

To calculate the dealer's cost of a refrigerator, you can use the selling price and the mark-up percentage by following a step-by-step process.

Mark Up Calculation:

Therefore, the dealer's cost of the refrigerator is $467.20.

Explaining how to determine the number of seats in each section based on seat pricing and total revenue.

Analyzing seat pricing and revenue:

Answer:

(200-30) + 70 =240

Step-by-step explanation:

To create 400mL of orange juice with a 23% concentrate for the Queen of Canada, use a specific combination of Windsor Delight and Budget Brit OJ concentrates.

To make 400mL of orange juice with a 23% concentrate for the Queen of Canada:

Let

x--------> the number

we know that

The expression is equal to

[tex]\frac{x}{2} -10=27\\ \\\frac{x}{2}=27+10\\ \\\frac{x}{2}=37\\ \\x=74[/tex]

therefore

the answer is

[tex]\frac{x}{2} -10=27[/tex]

Answer:

A: [tex]\frac{14}{15}[/tex]

B: 14

Step-by-step explanation:

Let the number of students who said that summer break should be longer be x.

Total number of students = 15

The result showed = 0.9333....

We can calculate this like :

[tex]\frac{x}{15}=0.93333.....[/tex]

This gives x = 14 approx

A:

So, in fraction form it can be written like = [tex]\frac{14}{15}[/tex]

B:

14 students said the summer break should be longer.

Answer: She Will Need 160 Inches Of Wire.

Step-by-step explanation: 20x8=160

Answer: They drive 60 miles, 70 miles, 30 miles respectively.

Step-by-step explanation:

Since we have given that

Total mileage per week = 160 miles

Let the number of miles that her father does be x

Let the number of miles that she does be x+10

let the number of miles that her mother does be [tex]\dfrac{x}{2}[/tex]

so, our equation becomes,

[tex]x+x+10+\dfrac{x}{2}=160\\\\2x+\dfrac{x}2}=160-10\\\\\dfrac{4x+x}{2}=150\\\\\dfrac{5x}{2}=150\\\\x=\dfrac{150\times 2}{5}\\\\x=60\ miles[/tex]

So, her father drives 60 miles.

She drives 60 +10 = 70 miles.

Her mother drives [tex]\dfrac{60}{2}=30\ miles[/tex]

Hence, they drive 60 miles, 70 miles, 30 miles respectively.

The sum of the measures of the interior angles of a regular polygon, where the measure of an exterior angle is 15°, is 3960°.

To answer your question about the sum of the measures of the interior angles of the regular polygon, we can use the formula for computing the sum of the measures of the interior angles of a regular polygon, which is (n-2) * 180 degrees, where 'n' is the number of sides in the polygon.

In a regular polygon, the measure of each exterior angle is equal to the total of 360° divided by the number of sides. Given that the measure of the exterior angle is 15°, we can find 'n' using the equation 360°/n = 15°, which gives us n=24.

Substituting n=24 in the formula for computing the sum of the interior angles, we get (24-2)*180 = 22*180 = 3960°. Hence, the sum of the measures of the interior angles of the polygon is 3960°.

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Answer:

15 girls

Step-by-step explanation:

Let

x-----> the number of girls

y-----> the number of boys

we know that

-----> equation A

isolate the variable y

-----> equation B

Substitute equation B in equation A

you welcome  

Answer:

3.458 × 10¹⁷

Explanation:

We multiply the amount of salt per liter, 3.5×10⁻², by the amount of sea water in the South China Sea, 9.88×10¹⁸:

(3.5×10⁻²)(9.88×10¹⁸)

Multiplication is commutative; this means we can switch around the numbers we are multiplying:

(3.5×9.88)(10⁻²×10¹⁸)

Multiplying the numbers in the first set of parentheses, we have 34.58.

To multiply the powers of 10, we use the product property; it states that if we multiply powers that have the same base, we add their exponents:

10⁻²×10¹⁸ = 10⁻²⁺¹⁸ = 10¹⁶

This gives us 34.58 × 10¹⁶.  In scientific notation, the decimal must be behind the first non-zero digit; this gives us 3.458.  When we move the decimal again, we add 1 to the exponent; this gives us 3.458 × 10¹⁷

The kilograms of salt in the South China Sea is required.

The amount of salt in the South China Sea is [tex]3.458\times 10^{17}\ \text{kg}[/tex]

The amount of salt in 1 liter of seawater is [tex]3.5\times 10^{-2}\ \text{kg}[/tex]

[tex]1\ \text{liter of seawater}=3.5\times 10^{-2}\ \text{kg of salt}[/tex]

The volume of seawater in the South China Sea is [tex]9.88\times 10^{18}\ \text{L}[/tex]

[tex]9.88\times 10^{18}\ \text{liters of seawater}=9.88\times 10^{18}\times 3.5\times 10^{-2}=3.458\times 10^{17}\ \text{kg}[/tex]

The amount of salt in the South China Sea is [tex]3.458\times 10^{17}\ \text{kg}[/tex]

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