Answer:
45 ft
Step-by-step explanation:
90 divided by 2
X and y vary inversely. If x is 3 when y is 12, find the equation to model this situation
Answer:
[tex]x = \dfrac{36}{y}[/tex]
Step-by-step explanation:
We are given the following in the question:
x and y vary inversely.
[tex]x\propto \dfrac{1}{y}[/tex]
Removing the sign of proportionality and adding the constant of proportionality, we get,
[tex]x = k\times \dfrac{1}{y} = \dfrac{k}{y}[/tex]
where k is the constant of proportionality.
When x = 3, y = 12
Putting these value in the equation, we get,
[tex]3 = \dfrac{k}{12}\\\\\Rightarrow k = 12\times 3 = 36[/tex]
Putting value of k, we get,
[tex]x = \dfrac{36}{y}[/tex]
which is the required equation to model the given situation.
Can someone help me with this?
A water tank is in the shape of a right circular cylinder with a height of 20 feet and volume 320(3.14) cubic feet. What is the diameter, in feet, of the water tank?
A. 4
B. 8
C. 12
D. 16
Answer: 4
Step-by-step explanation:
Simply plug in each answer choice
320(pi)= 1005.309
pi x 4^2 x 20= 1005.309
Three fishermen caught 74 fish. They divide them equally. How many are left over ?
Answer:
2 left
Step-by-step explanation:
74/3 = 24.
24*3 = 72
74-72 = 2
Frank monitors the cost of gasoline for his budget. The table below shows Frank's gasoline purchases for the month of June. What was the average cost per gallon for gas during Week 4?
Answer: 2.49 gallons
Step-by-step explanation:
$32.37 divided by 13 is 2.49 :)
At first, Brianna earned a score of 90 on the quiz. She discovered that 4 had been taken off by mistake. Brianna showed the teacher, removed the 4-points deduction. Which two quiz scores could be used to find Briannas new quiz score
1.90+ (-4)
2.90+4
3.90-4
4.90-(-4)
To find Brianna's new quiz score after correcting a mistake, we can use two mathematical operations: 90 + 4, which adds the points back directly, or 90 - (-4), which mathematically corrects the wrongful deduction by subtracting a negative.
Explanation:The question involves finding Brianna's new quiz score after correcting a mistake. At first, she earned a score of 90 on the quiz, but then discovered that 4 points had been taken off by mistake. To correct this, we should add the 4 points back to her original score of 90.
The correct mathematical operation to use would be 90 + 4, because we are adding back the points that were mistakenly deducted. Another way to express this correction is by removing the negative effect of the 4-point deduction, which mathematically would look like 90 - (-4). When we subtract a negative, it is equivalent to adding the positive value of that number.
Therefore, the two quiz scores that could be used to find Brianna's new quiz score are:
90 + 4: This represents simply adding the 4 points back to the original score.90 - (-4): This represents the same thing but highlights the corrective action of subtracting a mistakenly applied negative value.Final answer:
The correct options for calculating Brianna's new quiz score after the mistake is corrected are (2) 90 + 4 and (4) 90 - (-4), both of which correctly add 4 points to the original score of 90.
Explanation:
The correct way to calculate Brianna's new quiz score after the mistaken 4-point deduction is revoked would be by taking the original score of 90 and adding the 4 points back. Therefore, the two quiz scores we could use to find Brianna's new quiz score are:
90 + (-4), which is subtracting the 4 points that were mistakenly deducted, but since we want to reverse that deduction, this would not be used.
90 + 4, which correctly adds the 4 points back to the original score.
90 - 4, which would mistakenly subtract 4 more points instead of adding them back.
90 - (-4), which is essentially the same as adding 4 to 90, and it also gives the correct new score.
We disregard the options that subtract 4 points. Therefore, the correct options to use for finding Brianna's new quiz score are (2) 90 + 4 and (4) 90 - (-4).
find the radius of the sphere with a volume of 32/81 π cubic yards. Write your answer as a fraction in simplest form.
Answer:
Step-by-step explanation:
The radius of the sphere with a volume of 32/81 π cubic yards is 2/3 yards. This is found by equating the given volume to the volume of a sphere formula and solving for the radius step-by-step.
To find the radius of a sphere given its volume, we can use the formula for the volume of a sphere, which is V = (4/3)πr³. In this case, we have the volume V= 32/81 π cubic yards. We need to solve for r (the radius).
First, we set the given volume equal to the volume formula:
32/81 π = (4/3)πr³
To solve for r³, we divide both sides by (4/3)π:
r³ = (32/81 π) / ((4/3)π) = (32/81) / (4/3) = 32/81 * 3/4 = 32/108 = 8/27
Now, to find r, we take the cube root of both sides:
r = ³√(8/27)
Since ³√8 = 2 and ³√27 = 3, the radius r is 2/3 yards.
round 8.99 to 1 decimal place
Answer:
9.0
Step-by-step explanation:
an easy way to remember this is "5 or above give it a shove, 4 or below, let it go"
Which statement is true about the expression 4 (9 + 6)?
The expression has two factors.
The expression has one variable.
The expression has two variable terms.
The expression has three coefficients.
Answer:
The expression has 2 factors
Step-by-step explanation:
PLZz Help I only have 4 min left
Answer:
4
Step-by-step explanation:
What is the value of this expression?
27+4×(8−4)
Answer:
43
Step-by-step explanation:
The value means the answer.
We will use PEMDAS
PARENTHESIS:
27 + 4 × (8 − 4)
27 + 4 × (4)
We have no exponents, so we will go to multiplication.
MULTIPLICATION:
27 + 4 × (4)
27 + 16
We have no division, so we will go to addition.
ADDITION:
27 + 16
43
PLEASE DRAW WITH PENCIL
Answer:
The answer is shown in the picture above☝️☝️
Answer:
Step-by-step explanation:
In Geometry what is the meaning of the following symbol?
A.is perpendicular to
B.Is parallel to
C.Is similar to
D.is congruent to
Answer:
D. Is congruent to
Step-by-step explanation:
This symbol is used when two figures have exactly same lengths and angles, which means they are congruent
Can you help me please
Answer:
5/9
Step-by-step explanation:
2/3 - 1/9 = 5/9
Answer:
5/9
Step-by-step explanation:
Find the slope between the following points: (8,-4),and (2,-4)
Answer:
0
Step-by-step explanation:[tex]\frac{0}{6}[/tex]
[tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex] Remember this??
Just replace the points with it.
[tex]\frac{-4-(-4)}{8-2}[/tex] and now SOLVE!
You should get [tex]\frac{0}{6}[/tex]
Which equals 0.. So there ya go!
Stay Safe! Stay at Home!! =)
The slope between the points (8,-4) and (2,-4) is 0, indicating a horizontal line.
Explanation:To find the slope between two points, you use the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.
Let's apply this formula to the points given: (8, -4) and (2, -4).
Slope (m) = (-4 - (-4)) / (2 - 8) = (0) / (-6) = 0
Since the numerator of the slope formula is zero, the slope of the line passing through these two points is 0, which indicates a horizontal line.
I need helppp♀️!!!!! So Hurryyyyyyy!!!!
Answer:
1,436 with a remainder of 4
Step-by-step explanation:
The first step is to see how many times 6 goes into 8
It goes in 1 time so you write 1 at the top and subtract 6 from 8
This gives you 2, and then you bring down the 6 from the 8,620
Now you have 26, and you see how many times 6 goes into 26
It goes in 4 times giving you 24 so you write 4 at the top
Then you subtract 24 from 26 giving you 2 and you drop down the 2
This gives you 22 and 6 goes into 22 3 times giving you 18
So you write 3 at the top and subtract 18 from 22 giving you 4
then you drop down the 0 from the 8,620 giving you 40
Then you evaluate how many times 6 goes into 40, it goes in 6 times
this gives you 36 and then you writes a 6 at the top and subtract 40 and 36
this gives you a remainder of 4
Solve the following system using any method.
5x – 5y = 5
5x + 5y = 37
a (2.5, 7.5)
b (7.5,3.5)
C (4.2, 3.2)
d (6.2,8.2)
Answer:13
Step-by-step explanation:none
What is the slope of a line that is perpendicular to the line y=8x+5
Answer:
-1/8
Step-by-step explanation:
Perpendicular slopes are negative reciprocals
The slope of y=8x+5 is 8, because it is in slope intercept form: y=mx+b form, where m is the slope.
Negative:
8/1--> -8/1
Reciprocal:
Flip the numerator and denominator
-8/1--> -1/8
So, the perpendicular slope of 8 is -1/8
Answer:
-8
Step-by-step explanation:
ve.
The temperature outside dropped 13°F in 7 hours. The final
temperature was -2°F. What was the starting temperature?
Answer:
11
Step-by-step explanation: Since the question does not specify wether the temperature dropped every hour or if it was the total, in this case we can assume this was in total. If you ended up with -2 after subtracting 13, to get the starting temperature you can add -2 to 13.
-2 + 13 = 11
An airline company has a 60% markup rate on its tickets. If the original cost of a ticket is $229, what is the amount of markup?
To find the amount of markup on an airline ticket costing $229 with a 60% markup rate, multiply the original cost by the markup rate (0.60), resulting in a markup amount of $137.40.
Explanation:The question asks to find the amount of markup on an airline ticket that has an original cost of $229 and a markup rate of 60%. To calculate the markup amount, we need to apply the markup rate to the original cost. The formula to find the markup amount is: Markup Amount = Original Cost × Markup Rate.
Given that the original cost is $229 and the markup rate is 60% (or 0.60 when expressed as a decimal), the calculation would be:
• Markup Amount = $229 × 0.60 = $137.40
Therefore, the amount of markup on the airline ticket is $137.40.
A target with a diameter of 42 cm has 4 scoring zones formed by concentric circles. The diameter of the center circle is 6 cm. The width of each ring is 6 cm. A dart hits the target at a
random point. Find the probability that it will hit a point in the yellow region
The probability of a dart hitting the yellow region of the target can be calculated by determining the area of the yellow region, in this case about 1130.97 cm^2, and dividing it by the total area of the target, which is about 1385.44 cm^2. The resulting probability is approximately 0.82, or 82%.
Explanation:To solve this, we must first understand that the probability of the dart hitting a certain zone on the target will be proportional to the area of that zone. In this case, the entire area of the target is the area of the circle with a diameter of 42 cm. The radius of the target, therefore, is 21 cm.
The formula for the area of a circle is πr^2, so the area of the target is π * (21)^2, or about 1385.44 cm^2.
While the yellow zone is the ring with 18 cm diameter. Using the formula for the area of a circle again, the inner boundary of the yellow zone will have an area of π * (9)^2, or about 254.47 cm^2. The area of the yellow zone is the difference between these two values, which is around 1130.97 cm^2.
To find the probability of a dart hitting the yellow zone, we divide the area of the yellow zone by the total area of the target. This gives us a probability of around 0.82, or 82%.
Learn more about Probability here:https://brainly.com/question/32117953
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DIU IVLAS MAIM.
> Chapter 7: Adjacent and Vertical Angles > Section Exercises 7.1 > Exercise 11
Tell whether the angles are adjacent or vertical. Then find the value of 2.
75
(4x
- 2
Answer:
vertical; x=25
4x-25=75
4x=75+25=4x=100
4x/4=100/4 x=25
25 points
1. Jason Witten has a loan of $32,460. The loan has a simple interest rate
of 3% per year. What is the amount of interest that Jason Witten will be
charged on this loan at the end of one year?*
Answer:
9.738
Step-by-step explanation:
I=p x t
= 32,460 x (.03) 1
=9.738
If the height and base of the parallelogram shown are each decreased by 2 cm, what is the area of the new parallelogram?
A parallelogram with a base of 10 centimeters and a height of 8 centimeters.
40 cm2
48 cm2
64 cm2
76 cm2
Answer:
48cm²
Step-by-step explanation:
just pretend that the parallelogram is an 8x6
Answer:
48 cm^2
Step-by-step explanation:
Use the formula A = bh. The height is 8 cm minus 2, now the height is 6 cm. The base is 10 cm minus 2, now the base is 8 cm. Multiply 8 by 6, you'll get the answer 48 cm^2.
17) Order the numbers from least to greatest based on their absolute value. |−7|, |4|, |−2|, |3| A) |−2| < |−7| < |4| < |3| B) |−7| < |4| < |3| < |−2| C) |−2| < |3| < |4| < |−7| D) |−7| < |−2| < |3| < |4|
Answer:
The answer is C
Marty was paying off a television that he bought on layaway, which means he has to pay it off over a period of time. Marty made 3 upfront payments over three weeks. One week he paid $20, next week $30, and the next week $40( remember he paid some money already). The total cost of the tv was $690. He will now make monthly payments to pay off the rest that he owes. If he has another 12 months to pay it off, how much will he have to pay per month?
Answer:
he needs to be paying $60 per month
Step-by-step explanation:
please kindly check the attached files for explanation
answered
3x2 – 41x = -110
use quadratic formula
Answer: x=10 and x= 3.66667
Step-by-step explanation:
you would need to at 110 to both side to get c before you can solve the quadratic formula, once you have done that you should get 3x2-41x+110=0 than you can now put it in to the formula(-b[tex]\frac{-b(+-)\sqrt{b^{2-4ac} } }{2a}[/tex]) which will now be [tex]\frac{-(-41)(+-)\sqrt{41^{2-4(3)(110)} } }{2(3)}[/tex] than solve [tex]\frac{41(+-)\sqrt{1681-1320} }{6}[/tex] now combined to get [tex]\frac{41(+-)\sqrt{361} }{6}[/tex] the discriminant [tex]b^{2}[/tex]-4sc > 0 so there are two real roots which are, [tex]x= \frac{41(+-) 19}{6}[/tex] simplify the radicals, x [tex]\frac{60}{6}[/tex]= and x = [tex]\frac{22 }{6}[/tex] that will turn into x = 10 and x= 3.66667
Mario wants to estimate how much it will cost him to fill his pool with water for the summer. First, he needs to find the volume of the pool. If the pool is 5 feet deep, what is the volume of the pool? A. 870 ft3 B. 854 ft3 C. 860 ft3 D. 862 ft3
Answer:
860
Step-by-step explanation:
Which of the following sets of numbers could not represent the three sides of a right
triangle?
{5,8, 10}
{12, 35, 37}
{12, 16, 20}
{33, 56, 65}
Answer:
3
Step-by-step explanation:
A vitamin powder weighs 0.0002 pound.
The container holding the powder weighs
0.006 pound. What is the total weight
of the vitamin powder and container,
written in scientific notation?
A. 6.2 X 10 ^-3 pound
B. 2.6 x 10 ^-3 pound
C. 6.2 X 10 ^-4 pound
D. 2.6 X 10 ^-4 pound
Answer:
A. 6.2 X 10 ^-3
Step-by-step explanation:
First, you have to find the total weight by adding 0.0002 and 0.006 together, which gives you 0.0062. Then, follow basic setup of scientific notation by moving the decimal until one non-zero digit is to the left of the decimal, which brings the decimal to 6.2. Since you are moving the decimal right three places, the exponent is negative 3, making the notation 6.2 X 10 ^-3