Answers
The correct answer is
4
:)
Related Questions
The area of a rectangular piece of sheet metal is 216 ft. the width of the sheet is 6 ft less than the length what are the dimensions of th epiece of metal
Answers
Using algebra, the dimensions of the rectangular sheet metal with an area of 216 sq ft and width being 6 ft less than the length are found to be 18 ft by 12 ft.
The area of a rectangular piece of sheet metal is given as 216 square feet, and the width is stated to be 6 feet less than the length. Use algebra to find the length (l) and the width (w) of the sheet. Since the width is 6 ft less than the length, we can express this relationship as: w=l- 6.
The area of a rectangle is calculated by the formula Area = length imes width, so we can set up the equation 216 = l imes (l - 6). Solving the quadratic equation l^2 - 6l - 216 = 0 we find that the possible values for l are 18 ft (acceptable since length is positive) and -12 ft (which is not physically meaningful for this context), leaving us with the length of the piece of metal being 18 feet. Consequently, the width would be l - 6, which is 18 - 6 = 12 ft.
Therefore, the dimensions of the piece of metal are 18 feet in length and 12 feet in width.
The short lines or feet at the base of type are called _______.
Answers
Jason went shopping.
He bought a watch and a pair of trainers for a total price of £53.55
This price includes a 15% loyalty discount.
Before the discount, the trainers were priced at £38
Work out the price of the watch before the discount.
Answers
pw+38=63
63-38 =£25
A recipe asks for 4 1/2 pounds of chicken.
How many pounds of chicken are needed to make 1/2 of a recipe?
Express the answer in simplest form.
Answers
A movie rental website charges $5.00 per month for membership and $1.25 per movie.How many movies did Andrew rent this month if this month's bill was $16.25?
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That gives you $11.25
So then you Just divide...
$11.25 divided by $1.25
which gives you 9
So bill rented 9 movies for the month
Hope this helped! :)
Can you please explain how to do it? Thank you! :)
Answers
complete the solution of the equation. Find the value of y when x equals -4
x + 3y = 14
Answers
When x equals -4, the value of y is 6 by substituting -4 into the equation x + 3y = 14 and solving for y.
Explanation:To complete the solution of the equation and find the value of y when x equals -4, simply substitute -4 for x into the equation x + 3y = 14. The steps are as follows:
Start with the equation: x + 3y = 14.Substitute -4 for x: (-4) + 3y = 14.Solve for y: 3y = 14 + 4.Simplify: 3y = 18.Divide both sides by 3: y = 18 / 3.Find the value of y: y = 6.Therefore, when x equals -4, the value of y is 6.
What does it mean to say that two variables are negatively associated?
Answers
Anna has 10 to the 2nd power quarters. Jazmin has 10 to the second power dimes Who has more money, Anna or Jasmine? How much more? Explain
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A quarter is 25 cents, while a dime is only 10 cents. Since they both have the same amounts of coins, the one with 100 quarters has more money, so Anna has more money than Jasmine.
Now, we need to figure put by how much! 100 quarters is one hundred 25 cent coins. 100*25 = 2500. That is 25 dollars. Whereas, Jasmine has one hundred times 10 cents, which is 1000 cents. This is 10 dollars.
So, Anna has 15 more dollars than Jasmine.
This question is based on the concept of logical reasoning.Therefore,they both have the same amounts of coins, the one with 100 quarters has more money.Thus, Anna has more money than Jasmine.
Given:
Anna has 10 to the 2nd power quarters. Jazmin has 10 to the second power dimes.
We need to calculate the who has more money, Anna or Jasmine.
According to the question,
Anna has 10 to the 2nd power quarters.
In mathematically expressed as,
[tex]\bold{10^2 = 100}[/tex] quarters
Now, Jazmin has 10 to the second power dimes.
In mathematically expressed as,
[tex]\bold{10^2 = 100}[/tex] dimes
So,they both have 100 coins. But, we know that quarter is 25 cents, while a dime is only 10 cents.
Anna has 100 quarters = [tex]\bold{100 \times 25 = 2500}[/tex]. That is 25 dollars.
Jasmine has 100 dimes = [tex]\bold{100 \times 10 = 1000}[/tex]. This is 10 dollars.
Therefore,they both have the same amounts of coins, the one with 100 quarters has more money.Thus, Anna has more money than Jasmine.
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Solve the inequality.
g - 6 > -1
A. g > 7
B. g > –7
C. g > 5
D. g < –7
Answers
The correct answer is option C g > 5.
To solve the inequality, we need to isolate the variable g. Here are the steps:
Add 6 to both sides of the inequality to isolate g.
The inequality now becomes: g - 6 + 6 > -1 + 6
Simplify both sides: g > 5
The solution to the inequality is g > 5.
Therefore, the correct answer is option C.
Which two graphs are graphs of polynomial functions?
Answers
It’s B and D for Plato users
W far has a person traveled who ran at a rate of 5.5 miles per hour for of an hour?
Answers
Answer:
4.125 hope this helps!
Step-by-step explanation:
I know u meant 3/4 of an hour
In the deli, meat and cheese are sold by the pound. There is usually a unit price in each variety in the refrigerator case. If honey ham costs $5.99 per lb, how much would 1.5 lbs cost?
Enter your answer as a decimal rounded to the nearest cent.
Answers
So if 1lbs = $5.99
and you need to find 1.5lbs
5.99x = answer
then all you simply have to do is multiply $5.99 by 1.5lbs.
When completing the equation, you will see that 1.5lbs of ham will cost $8.985 which will round to $8.99.
The radius of a circle is 10 cm. What is the volume?
Answers
v = 4/3 × pi × r^3, where pi roughly = 3.14
v = 4/3 × 3.14 × (10cm)^3
v = 1.33 × 3.14 × 1000cm^3
v = 4,188.56 cm^3 (cubic cm)
v = 4,189 cm^3 (rounded up)
Paul serves 4 cups of coffee every 6 minutes Using y for number of cups of coffee and x for the amount of minutes that have passed, write an equation that represents this proportional relationship.
Answers
Biologists have proposed a cubic polynomial to model the length l of alaskan rockfish at age a:l = 0.0155a3 − 0.372a2 + 3.95a + 1.21, where l is measured in inches and a is in years. (a) (2 pts) calculate dl da a=12 (b) (2 pts) interpret your answer.
Answers
dl/da = 3(0.0155)a² - 2(0.372)a + 3.95
Substituting the known value, a = 12
dl/da = (3)(0.0155)(12)² - 2(0.372)(12) + 3.95
Simplify,
dl/da = 1.718
(b) The answer in a tells us that the length of the alaskan rockfish will change at a rate of 1.718 inches/year when it is already 12 years old.
To calculate dl/da when a=12, find the derivative of the cubic polynomial and substitute a=12. The rate of change of the length is approximately 1.682 inches per year.
Explanation:To calculate dl/da when a=12, we need to find the derivative of the given cubic polynomial with respect to a. The derivative of l with respect to a can be found by taking the derivative of each term separately and then simplifying:
Find the derivative of 0.0155a^3: 3 * 0.0155 * a^2 = 0.0465a^2 Find the derivative of -0.372a^2: 2 * -0.372 * a = -0.744a Find the derivative of 3.95a: 3.95 Find the derivative of 1.21: 0Now substitute a=12 into the derivatives we found:
0.0465(12)^2 = 6.66-0.744(12) = -8.9283.950So, dl/da when a=12 is approximately 0.0465(12)^2 - 0.744(12) + 3.95 = 6.66 - 8.928 + 3.95 = 1.682.
Interpretation: The value dl/da represents the rate of change of the length of the alaskan rockfish with respect to its age. In this case, when the rockfish is 12 years old, its length is changing at a rate of approximately 1.682 inches per year.
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A master electrician earns $62 per hour. His apprentice earns $40 per hour. The master electrician works 3 hours more than the apprentice. If together they are paid $492, how much does the master electrician earn?
A) $292
B) $312
C) $332
D) $372
Answers
The master electrician earns $62 per hour, which means that he earns 62x.
His apprentice earns $40 per hour, which means that he earns 40y.
Together they are paid $492, so we can get the equation:
62x + 40y = 492.
We know that the electrician worked 3 hours more than his apprentice. So he worked x = y + 3 hours. Now let's replace x by its new value in the previous equation.
62x + 40y = 492
62(y+3) + 40y = 492
62y + 186 + 40y = 492
Now we need to put variables apart and numbers apart, so we subtract 186 from both sides of the equation:
62y + 40y + 186 - 186 = 492 - 186
102y = 306
Now we divide both sides by 102
(102y)/102 = 306/102
y = 3
So the apprentice worked 3 hours.
As we already mentioned, the electrician worked 3 hours more than his apprentice.
So he worked x = y + 3 = 3+3 = 6 hours.
The master electrician earns $62 per hour. Since he worked 6 hours, he earns 62 * 6 = 372 dollars.
So the master electrician earns $372 (Option D)
Hope this helps! :)
Answer:
The answer is D)$372
Step-by-step explanation:
NEED HELP FAST PLEASE!
What is the equation of this line?
y = 1/2x -- 3
y = --1/2x -- 3
y = --2x --3
y = 2x -- 3
Answers
slope = (-2 + 3)/(2-0) = 1/2
b = -3
equation
y = 1/2x - 3
answer is A
y = 1/2x - 3
Deon drove 408 miles using 16 gallons of gas. At this rate, how many miles would he drive using 11 gallons of gas?
Answers
By setting up a ratio based on the known miles per gallon, we can determine that Deon would be able to drive 281.5 miles using 11 gallons of gas.
Explanation:This problem can be solved by setting up a proportion to find out how many miles Deon would drive using 11 gallons of gas. First, we know that Deon can drive 408 miles with 16 gallons of gas. This forms a ratio of 408/16 which simplifies to 25.5. This means Deon can drive 25.5 miles for every gallon of gas. Using this, we can determine how far he would travel with 11 gallons by multiplying the miles per gallon (25.5) by 11.
Therefore, Deon would drive 281.5 miles using 11 gallons of gas.
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Is 6/36 and 1/6 proportional?
Answers
6/36=1/6
Cross products is 6*6=36*1
36=36 :)
PLEASE HELP ME, I NEED IT.
Which of the following is the correct graph of the compound inequality 4p + 1 > −7 or 6p + 3 < 33?
A. a number line with open circles at negative 2 and 5 with shading in between.
B. number line with open dot at negative 2 with shading to the left and an open dot at 5 with shading to the right
C. number line with shading everywhere.
D. number line with open dot at negative 2 and a closed dot at 5 with shading in between.
Answers
The answer is B :)
I hope this helped
An athlete eats 45g of protein per day while training. How much protein will she eat during 15 days of training?
Answers
Answer:
Step-by-step explanation:
What is an equation of the line in slope intercept form? m = 4 and the y-intercept is (0, 5) (1 point)?
Answers
Answer:
[tex]y=4x+5[/tex]
Step-by-step explanation:
Mathematically, the slope m of a line is:
[tex]m=\frac{\Delta y}{\Delta x} = \frac{y-y_o}{x-x_o}[/tex]
Therefore, if we know the slope m of the line and a point [tex](x_o , y_o)[/tex] we will be able to find its equation simply solving for y:
[tex]y-y_o=m(x-x_o)[/tex]
Replacing the data provided by the problem:
[tex]y-5=4(x-0)\\\\y-5=4x\\\\y=4x+5[/tex]
Last year, Bill opened an investment account with $6800 . At the end of the year, the amount in the account had increased by 24.5% . How much is this increase in dollars? How much money was in his account at the end of last year?
Answers
Bill's investment increased by $1666 over the year, which is 24.5% of the original $6800. At the end of the year, the total amount of money in the account was $8466.
Explanation:To determine the increase in dollars due to the investment growth of 24.5%, we would calculate 24.5% of $6800. We can use the formula increase = principal × (rate/100), where principal is the starting amount and rate is the percentage increase.
So, increase = $6800 × (24.5/100) = $6800 × 0.245 = $1666. This means that the increase in dollars is $1666.
Next, to find out how much money was in his account at the end of last year, we add this increase to the original investment: total amount = original amount + increase = $6800 + $1666 = $8466. Therefore, the total amount in the account at the end of the year was $8466.
what is the multiplicative rate of change of the function described in the table ?
Answers
Hence, the multiplicative Rate of change is:
5
Step-by-step explanation:The multiplicative Rate of change refers to the fixed constant which when multiplied to the output will lead to increase/decrease in the next output value.
We have the table of values as:
x y
-1 1/10
0 1/2
1 5/2
2 25/2
3 125/2
Hence, we see that when 5 is multiplied to the output value we obtain the next output value.
i.e.
1/10×5=1/2
1/2×5=5/2
5/2×5=25/2
25/2×5=125/2
Hence, the multiplicative Rate of change is:
5
The phones at Century Cellphones vary in price depending upon demand. The average phone has a built in camera and costs x dollars. Phones with both a camera and an MP3 player are 35 dollars less than twice the cost of the phones with just the camera. Phones without any features are 100 dollars less than the cost of the phone with just the camera. Purchasing all three would cost at least $525.
a) Determine the inequality that represents this situation.
b) How much does the phone with just the camera cost?
Answers
a. let us say that:
a = cost of phones with camera
b = cost of phones with camera and mp3
c = cost of phones without any features
b = 2 a – 35
c = a – 100
a + b + c = 525
b > a > c
b. We are given three equations with three unknowns. So we can solve the problem.
a + (2 a – 35) + (a – 100) = 525
a + 2 a – 35 + a – 100 = 525
4 a – 135 = 525
4 a = 660
a = $165
a) According to the problem, purchasing all three phones would cost at least $525, which leads us to the inequality:
[tex]4x - 135 \geq 525[/tex]
b) The cost of the phone with just a camera is at least $165.
a) Setting Up the Inequality
Let’s define the variables based on the information given:
Let [tex]x[/tex] be the cost of the phone with just a camera. Then, the cost of the phone with both a camera and an MP3 player is given as:[tex]y = 2x - 35[/tex] The cost of the phone without any features is:
[tex]z = x - 100[/tex]
Now, the total cost of buying all three types of phones can be expressed as:
[tex]x + y + z[/tex]
Substituting the expressions for [tex]y[/tex] and [tex]z[/tex], we get:
[tex]x + (2x - 35) + (x - 100)[/tex]
This simplifies to:
[tex]4x - 135[/tex]
b) Finding the Cost of the Phone with Just the Camera
To find out the value of [tex]x[/tex], we can solve the inequality:
[tex]4x - 135 \geq 525[/tex]
Adding 135 to both sides gives:
[tex]4x \geq 660[/tex]
Now, dividing both sides by 4:
[tex]x \geq 165[/tex]
Write the solution to the given inequality in interval notation.
[-3,-1)
(-3,-1]
(-∞,-3) U [-1,∞)
(-∞,-3] U (-1,∞)
Answers
Answer:
D. [tex](-\infty,-3]\text{U}(-1,\infty)[/tex]
Step-by-step explanation:
We have been given solution of an inequality on number line. We are asked to write the solution to the given inequality in interval notation.
We can see that all values of x less than or equal [tex]-3[/tex] and greater than [tex]-1[/tex] are solution for our given inequality.
We have a solid dot at [tex]-3[/tex], so [tex]-3[/tex] is a solution of inequality.
We have a open dot at [tex]-1[/tex], so [tex]-1[/tex] is not a solution of inequality.
Upon combining both solutions, we will get:
[tex](-\infty,-3]\text{U}(-1,\infty)[/tex]
Therefore, the solution for the inequality is [tex](-\infty,-3]\text{U}(-1,\infty)[/tex].
Which choice represents the fraction below as a single exponential expression?
8^2/8^16
a. 8^-12
b. 8^12
c. 1/4
d. 8^4
Answers
the correct answer would be A. 8^-12
8^2 /8^16 = 1/8^14 = 2.27373*10^-13
8^-12 = 1.45519*10^-11
which are equal so answer is A
Help please solve 5x+2=22
Answers
5x = 22 - 2
5x = 20
x = 20/5
x = 4
[tex]5x+2=22[/tex]
To solve this, we need to isolate the number 2 by shifting it infront of 22. By this, we can easily solve the equation.
[tex]5x = 22 -2[/tex]
We need to be very careful while isolating the number, make sure the operation is opposite.
[tex]5x = 22 -2[/tex]
[tex]5x = 20[/tex]
[tex]x=20/5[/tex]
[tex]x=4[/tex]
Hope I helped (:
Have a great day!
How much money do i have if i had tow dollars five pennies and three quarters how much money do i have?