Answer:
[tex]x=\frac{m-9}{3-d}[/tex]
Step-by-step explanation:
We have been given an equation [tex]m=9+3x-dx[/tex]. We are asked to solve the given equation for x.
Subtract 9 from both sides:
[tex]m-9=9-9+3x-dx[/tex]
[tex]m-9=3x-dx[/tex]
Factor out x from right side:
[tex]m-9=x(3-d)[/tex]
Switch sides:
[tex]x(3-d)=m-9[/tex]
Divide both sides by [tex](3-d)[/tex]:
[tex]\frac{x(3-d)}{3-d}=\frac{m-9}{3-d}[/tex]
[tex]x=\frac{m-9}{3-d}[/tex]
Therefore, the value of x is [tex]\frac{m-9}{3-d}[/tex].
Lines a and b are parallel.
What is the measure of angle m?
m = ?
Solve the question m/5= 5 what’s M
4. What is the equation of a line with a slope of 5 that passes through the point (4,2) ? Express this equation in all three forms: point-slope, slope-intercept, and standard.
You would like to make orange juice for the Queen of Canada but her tastes are very particular. She requires 400mL of orange juice, but it has to be the correct concentration, which is 23% concentrate. You have some 250mL cans of Windsor Delight OJ concentrate, which asks for 3 cans of water to every can of concentrate. You also have 250mL cans of Budget Brit OJ concentrate, which requires 4 cans of water for every can of concentrate. How much Windsor Delight mixture, and how much Budget Brit mixture will go into every 400mL of Her Majesty's Royal
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:
Use 200mL of Windsor Delight OJ concentrate (which needs 3 cans of water per can).Use 200mL of Budget Brit OJ concentrate (which requires 4 cans of water per can).This combination meets the required concentration of 23% for the 400mL of orange juice.Why do you subtract exponents when dividing powers with the same base?
when jackson works more than 40 hours in a week , he earns 1.5 times his normal hourly rate for each of the extra hours. jackson worked 43 hours one week. what was his total pay before deductions? justify your answer.
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.
An angle has a measure of 47 degrees. Find the measure of its supplement
how do you write 10 less than half a number as 27 as an equation
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]
sum of two numbers is 39. the greater number is 7 more than the smaller number. ( set up an equation )
x + y =39
x = y+7
y+7 +y = 39
2y +7 = 39
2y =32
y = 32/2 = 16
x = 16+7 = 23
If a bath measures 42 inches by 48 inches, what is the square footage of the bath?
When 12 is subtracted from 3 times a number, the result is 24. Find the number
the selling price for a refrigerator is 584 if the mark up is 25% of the dealers cost, what is the dealers cost of the refrigerator?
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:
Let the dealer's cost be x.Mark up = 0.25x.Selling price = Dealer's cost + Mark up = x + 0.25x = 1.25x = $584.Solve for x: 1.25x = 584, x = $467.20.Therefore, the dealer's cost of the refrigerator is $467.20.
9. what is the solution to
(4 x 10^3) x (6 x 10^6)
written in scientific notation?
A. 24 x 10^9
B. 2.4 x 10^9
C. 24 x 10^18
D. 2.4 x 10^10
Please I'm struggling please help
Answer:
D. 2.4 x 10^10
<3 Enjoy,
Dea
Angela is competing in a dance competition. If dance move is done correctly, the dancer earns points. If a dance move is done incorrectly the dancer loses points. Angela currently has 200 points. Angela then loses 30 points and earns 70 points. Write and evaluate an expression to find Angela’s final score
Answer:
(200-30) + 70 =240
Step-by-step explanation:
If Gabby wants to make an octagon with a side length of 20 inches using a wire how much wire does she need
Answer: She Will Need 160 Inches Of Wire.
Step-by-step explanation: 20x8=160
What is the true statement
Mr. and Mrs. Patton and their daughter Carolyn own three cars. Carolyn drives 10 miles per week farther with her car than her father does with his. Mr. Patton does twice as many miles per week as Mrs. Patton. If their total mileage per week is 160 miles, how many miles per week does each drive?
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.
Math help plz!!!
There is an average of 3.5×10^−2 kilograms of dissolved salt in each liter of seawater. The South China Sea contains approximately 9.88×10^18 liters of seawater.
About how many kilograms of dissolved salt are in the South China Sea?
Enter your answer, in scientific notation, in the boxes.
__ x 10^__ kg
Please help and thank you!
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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A group of 19 students want to see the show at the planetarium. Tickets cost $11 for each student who is a member of the planetarium's frequent visitor program and $13 for each student who is not a member. The total cost of the students tickets is $209. Joining the frequent visitor program at the planetarium costs $5 per year. Write an equation that can be used to determine n, the number of visits per year for which the cost of being a member of the frequent visitor program is equal to the cost of not being a member.
Tina wants to use rope to decorate a rectangular picture frame. The frame measure 13 inches wide and 23 inches tall. Tina has 7 feet of rope. Does she have enough rope to go around its perimeter of the frame? Explain. Remember, 1 foot = 12 inches.
Tina has 7 feet of rope and the perimeter is __ feet. So, Tina ____ (Does not, Does) have enough rope.
how can you use mental math to determine if a ratio is simplified
start at 125. create a pattern that subtracts 6 from each number. stop when you have 5 numbers.
The pattern is as follows:
125 119 113 107 101 95
Step-by-step explanation: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.
The next term will be:125-6=119
The next term of the pattern will be:119-6=113
The next term will be:113-6=107
The next term will be:107-6=101
The next will be:101-6=95
Please help me fast pleaseeeee
The measure of an exterior angle of a regular polygon is 15°. What is the sum of the measures of the interior angles of the polygon?
The sum of the measures of the interior angles of a regular polygon, where the measure of an exterior angle is 15°, is 3960°.
Explanation: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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Suppose that you have a data set containing 1000 tests scores. How many scores would you expect to find matching each description?
What is the successor of the number 2012
What information is missing? A parking structure has 3 levels. there are 47 cars on the first level and 61 cars on the third how many cars are on the second level
The table below shows the combination of a dry prepackaged mix and water to make concrete. The mix says for every 1 gallon of water stir 60 pounds of dry mix. We know that 1 gallon of water is equal to 8 pounds of water. Using the information, finish the table. NEED HELP ON FINISHING THE TABLE.
Dry mix lbs water lbs total lbs
________ _________ 14 1/6
________ _________ ________
Use the Greatest Common Factor and the Distributive property to express the sum as a product 20+35 18 + 27 64 + 40
To express sums as products, find the Greatest Common Factor (GCF) of each sum and factor it out, then use the Distributive Property to write the expression as a product.
Explanation:To express the sums 20+35, 18+27, and 64+40 as products using the Greatest Common Factor (GCF) and the Distributive Property, we need to find the GCF of each pair of numbers and factor it out.
For 20+35, the GCF is 5, so we can write it as 5(4+7).For 18+27, the GCF is 9, so we can write it as 9(2+3).For 64+40, the GCF is 8, so we can write it as 8(8+5).By applying the Distributive Property, we are effectively grouping the common factor outside of the parentheses and leaving the sum of the divided terms inside.