Answer:
36 - 1/2x = 0
72 minutes
Step-by-step explanation:
there is a total of 3 feet in the pool at the start, 1 ft = 12 in, and 3 ft = 36 in. the pool is losing water, so we have to subtract. it is losing water at a rate of -1/2 in per minute, and we don't know how many minutes it will take
we have to set it equal to 0 because we are trying to find out how long it will be until the pool is completely drained, which is when there will be no water left, so it will be 0
subtract 36 from both sides
-1/2x = -36
divide both sides by -1/2
x = 72
72 minutes
Solve each equation. -9X+1=-80
Answer:
x=9
Step-by-step explanation:
-9x + 1 = -80
-9x = -81 substract 1 from both sides
x= 9 divide both sides by -9
The solution to the equation -9x + 1 = -80 is x = 9
To solve the equation -9x + 1 = -80, we aim to isolate the variable x on one side of the equation.
First, we can subtract 1 from both sides to get rid of the constant term:
-9x + 1 - 1 = -80 - 1
This simplifies to:
-9x = -81
Next, we divide both sides by -9 to solve for x:
(-9x) / -9 = (-81) / -9
This gives us:
x = 9
Therefore, the solution to the equation -9x + 1 = -80 is x = 9. When we substitute x with 9 in the original equation, we get -9(9) + 1 = -80, which is true, confirming the solution.
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What is the relationship between the changes in the radii and the volume?
Answer:
The relationship between the volume of a cylinder and its radius. To see that as the radius changes, the volume changes in proportion. Be able to comfortably use the volume of a cylinder formula. π is a constant and height, h, is a constant in this task.
the quotient of a number and eight, increased by 3/4, is at least -1/4
Answer:
(x ÷ 8) + 3/4 ≥ -1/4
Step-by-step explanation:
Let "x" be a number.
The quotient of "x" and eight means x÷8
It is increased by 3/4
(x ÷ 8) + 3/4
The expression is at least -1/4
Here "at least" represents ≥
Therefore, (x ÷ 8) + 3/4 ≥ -1/4
Thank you.
Which of the following could be the equation of the function below?
Answer:
[tex]y=-2cos (2(x+\pi ))-1[/tex]
Step-by-step explanation:
From the graph, we can see that y = -3 when x = 0.
So to check whether which of the given options is the equation of the given graph, we will set our calculator to the radian mode and then plug the value of x as 0.
1. y = -2 cos (4(x + pi)) - 1 = -2 cos (4(0 + pi)) - 1 = 3
2. y = 2 cos(x + pi) = 2 cos(0 + pi) = -1
3. y = -2 cos (2(x + pi)) - 1 = -2 cos (2(x + pi)) - 1 = -3
Therefore, the equation of this graph is y = -2 cos (2(x + pi)) - 1.
Simplify the expression 2(8.8x + 17.6)-4.3. what is the constant in the simplified expression
Answer: 17.6x +30.9
Step-by-step explanation:
the constant is 30.9
1) you distribute the 2 to 8.8. and 17.6
2) then you combine like terms
Answer:
brainliest plsssss
Step-by-step explanation:
Let's simplify step-by-step.
2(8.8x+17.6)−4.3
Distribute:
=(2)(8.8x)+(2)(17.6)+−4.3
=17.6x+35.2+−4.3
Combine Like Terms:
=17.6x+35.2+−4.3
=(17.6x)+(35.2+−4.3)
=17.6x+30.9
What is the GCF of 18 and 27?
Answer: 9
Step-by-step explanation:
The factors of 18: 1, 2, 3, 6, 9, 18
The factors of 27: 1, 3, 9, 27
The GCF of 18 and 27 is 9. This means that 9 is the largest number that can evenly divide both 18 and 27 without leaving any remainder.
Step 1: Find the Factors of Each Number
To find the factors of a number, you identify all the whole numbers that divide that number without leaving a remainder. Here are the factors of 18 and 27:
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 27: 1, 3, 9, 27
Step 2: Identify the Common Factors
Next, we look for the common factors between the two sets of factors. These are the numbers that appear in both lists:
Common factors of 18 and 27: 1, 3, 9
Step 3: Determine the Greatest Common Factor (GCF)
The GCF is the greatest or largest number among the common factors. In this case, the greatest common factor among 1, 3, and 9 is 9.
Therefore, the GCF of 18 and 27 is 9. This means that 9 is the largest number that can evenly divide both 18 and 27 without leaving any remainder.
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classify each triangle
Answer:
This is an obtuse scalene triangle.
Step-by-step explanation:
This is an obtuse triangle. An obtuse triangle has an angle greater than 90 degrees. It is also a scalene triangle because none of the sides are equal.
I’ll give brainlest!!!!! Pleaseeeeee!!!!!!
Answer:
38ft
Step-by-step explanation:
wellcut it in two a rectangle 8 by 3
triangle with the base of 7 and the hight of 4
area for a rectangle bxh so 8 times 3 = 24ft
area for a triangle is bxhx1/2 so 7x4= 28 divided by 2= 14
now add 14+24= 38ft
PLEASE HELP FOR 30 POINTS. HURRY GOT TILL 9
Gina was given an irregularly shaped piece of metal and was told that the density of the metal was 12 g/cm3. She measured the mass of the piece to be 276 g. What was the volume of the piece of metal Gina was given? A. 23 cm3 B. 264 cm3 C. 288 cm3 D. 3,312 cm3
Answer:
A. 23 cm3
Step-by-step explanation:
V= mass ÷ density
12 g/cm3 is the density
276g is the mass.
So, 276 ÷ 12
= 23 cm3
Answer: 14 cm3
Step-by-step explanation:
Compute the open-to-buy for a store with planned purchases of $3,500. Orders received total $975 and merchandise ordered totals $1,200.
Answer:
$1,325
Step-by-step explanation:
All we have to do is to identify which amount is the goal, and which amount(s) are taken steps toward that goal. Once you identify those, deduct whatever amount(s) that have got you closer to the goal and you will get what is still left to achieve. Or as stated in this example, the open-to-buy amount.
Goal:
$3,500 (as planned)
Steps made toward reaching planned goal:
Orders Received: $975
Merchandise ordered: $1,200
Compute the goal minus the steps achieved so far and Voila! You will get your open-to-buy amount.
$3,500-$975-$1,200=$1,325
What is the nearest cent per ounce in a 24 oz box of corn flakes that cost $4.59
Answer:
19 cents per ounce
Step-by-step explanation:
$1 = 100 cent
Amount of corn flakes = 24 oz
Cost of corn flakes = $4.59 = 459 cents
Cost per ounce = 459/24 =19.125 = 19 cents/ ounce
∴ The cost of corn flakes is 19 cents per ounce.
If f(x) =-x2 +6x -1 and g(x)=3x2-4x-1 find f-g (x)
Answer:
- 4x² + 10x
Step-by-step explanation:
(f - g)(x) = f(x) - g(x)
= - x² + 6x - 1 - (3x² - 4x - 1) ← distribute
= - x² + 6x - 1 - 3x² + 4x + 1 ( collect like terms )
= - 4x² + 10x
Final answer:
To find f-g (x), subtract g(x) from f(x) and combine like terms. The resulting function is f-g (x) = -4x² + 10x.
Explanation:
To find the difference of the functions f(x) and g(x), denoted as f-g (x), we simply subtract the function g(x) from f(x). In the given problem:
f(x) = -x² + 6x - 1
g(x) = 3x² - 4x - 1
We subtract the expressions:
f-g (x) = (-x² + 6x - 1) - (3x² - 4x - 1)
Removing the parentheses and simplifying, we get:
f-g (x) = -x² + 6x - 1 - 3x² + 4x + 1
Combine like terms:
f-g (x) = -4x² + 10x
Thus, the function f-g (x) is -4x² + 10x.
A triangle with angle measures of 45°, 45°, and 90° is an equilateral triangle. True False
Answer: False
equilateral triangle means all the sides are the same so each one be 60 degrees
Answer:
FALSE.
Step-by-step explanation:
In an equilateral triangle, all angles are equal.
Since they add up to 180°, tke measure of each angle is
180/3 = 60°
Your triangle has two equal angles, so it is an isosceles triangle.
Which is the best first step when solving the following system of equations?x+y=3 and 4x-y=7
I Need Answer ASAP
A. Multiply the first equation by 4.
B. Add the first equation to the second equation.
C. Multiply the second equation by -1
D. Subtract the second equation from the first equation.
The best first step to solve the given equation is to add the first equation to the second equation.
What is an elimination method?In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.
Given that are two equations, x+y=3 and 4x-y=7
To solve them we will use elimination method, because, in both equations coefficients of y are -1 and +1, if we will add them they will get cancelled, leaving x alone, that will help us find the value of x easily.
Hence, the best first step to solve the given equation is to add the first equation to the second equation.
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What is the circumference of a circle of a circle with a diameter of 2.9 use 3.14 for pi
Answer:
9.106
Step-by-step explanation:
The circumference of a circle with a given diameter is: [tex]C=\pi d[/tex]
We are given the diameter of 2.9 units.
Using 3.14 for pi:
[tex]C=3.14 * 2.9\\\\\boxed{C=9.106}[/tex]
The circumference is about 9.106 units.
Brian wants to purchase a piece of fabric that is between 49 and 53 inches long. He can choose between three pieces of fabric. Choice A is 4 3/4 feet long. Choice B is 4 1/2 feet long. Choice C is 4 1/4 feet long. Which price of fabric should Brian purchase?
Answer:
the correct answer is c
Step-by-step explanation:
Answer:
Choice C.Step-by-step explanation:
We now that Brian wants the piece of fabric between 49 and 53 inches, this range is expressed like this
[tex]49<x<53[/tex]
Now, to choose the right answer, we have to transform the from feet to inches and see which one falls into this interval.
Choice A.We know that 1 ft equals 12 in. If we have [tex]4\frac{3}{4}=\frac{19}{4} ft[/tex], how much inches would be?
[tex]\frac{19}{4}ft\frac{12in}{1ft}=57in[/tex]
As you can see, the choice A is not the right answer because is more than 53.
Choice B.We do the same process. We know that, [tex]4\frac{1}{2}=\frac{9}{2}ft[/tex] how much inches would be?
[tex]\frac{9}{2}ft\frac{12in}{1ft}=54in[/tex]
Choice B is not the answer neither, because it's outside the interval.
Choice C.[tex]4\frac{1}{4}=\frac{17}{4}ft[/tex] how much inches would be?
[tex]\frac{17}{4}ft\frac{12in}{1ft}=51in[/tex]
As you can observe, choice C is in the interval. Therefore, the right answer is choice C, because 51 inches is between 49 and 53 inches.
Given that the points (-1, 5) and (2, 1) are vertices of a rectangle with sides parallel to the axes, how much longer is the length than the width? A) 1 unit B) 2 units C) 3 units D) 4 units
Answer:
Correct choice is A
Step-by-step explanation:
Two vertices of the rectangle have coordinates A(-1, 5) and B(2, 1). If rectangle sides are parallel to the axes, then two remaining vertices have coordinates C(-1,1) and D(2,5) (see attached diagram for details).
Find the length and the width:
[tex]AC=\sqrt{(-1-(-1))^2+(5-1)^2}=4\ units,\\ \\AD=\sqrt{(2-(-1))^2+(5-5)^2}=3\ units.[/tex]
Then the length is 1 unit longer than the width.
Dakota makes a salad dressing by combining 6 1/3 fluid ounces of oil and 2 3/8 fluid ounces of vinegar in a jar. She then pours 2 1/4 fluid ounces of the dressing onto Her salad. How much dressing remains in the jar?
Final answer:
To find out how much dressing remains in the jar, subtract the amount of dressing poured onto the salad from the total amount of dressing made.
Explanation:
To find out how much dressing remains in the jar, we need to subtract the amount of dressing poured onto the salad from the total amount of dressing made.
Dakota combines 6 1/3 fluid ounces of oil and 2 3/8 fluid ounces of vinegar, which gives us a total of 8 17/24 fluid ounces of dressing.
She pours 2 1/4 fluid ounces of the dressing onto her salad. To find out how much dressing remains, we need to subtract 2 1/4 from 8 17/24. Converting the fractions to a common denominator, we have (55/24) - (9/4) = 46/24 - 9/4 = 37/24. This means that 37/24 fluid ounces of dressing remain in the jar.
What is the sum of ¾ + ⅔ in simplistic form
We must find the common denominator.
The list of multiples of 4: 0, 4, 8, 12, 16, 20, ...
The list of multiples of 3: 0, 3, 6, 9, 12, 15, 18, ...
The common denominator is 12.
[tex]\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}[/tex]
Therefore:
[tex]\dfrac{3}{4}+\dfrac{2}{3}=\dfrac{9}{12}+\dfrac{8}{12}=\dfrac{9+8}{12}=\dfrac{17}{12}=\dfrac{12+5}{12}=1\dfrac{5}{12}[/tex]
Answer: 17/12 = 1 5/12What is h(x)= square root x-2
It all depends on the value of x. Remember that x must be greater than or equal to 2 or else the number under the square root sign will be negative, which will result in a complex number. The domain is 2<=x and the range is 0<=x.
Graphing it looks like this:
The function h(x) = square root x-2 is a square root function that takes the input x, subtracts 2 from it, and then takes the square root of the result.
Explanation:The function h(x) = √(x-2) represents a square root function. It takes the input x and subtracts 2 from it, and then takes the square root of the result. The function can be graphed as a curve that starts at (2, 0) and increases as x gets bigger. For example, if we plug in x = 4, h(4) = √(4-2) = √2.
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What are the prime factors of 80
Answer:
The easiest way to get this is through divide and conquer.
Therefore take 1, 2, 3, 5, 7, 9, and 11.
1 is a factor obviously.
2 is a factor since 80 is divisible by 80. We found a factor so divide the value 80 by 2 and we get 40. Is 2 a factor of 40? Yep, so divide again and we have 20. Is 2 a factor of 20. Yep. So is 10. So now we are at 5. But 5 is not a factor of 2. 5 is a factor of 5.
So we have the following 1, 2, 2, 2, 2, and 5. Thus 2 and 5 are your prime factors of 80. Note this is NOT the prime factorization of the number 80. That value is 2^4 * 5. You asked the prime factors of 80. Those are 2 and 5.
Hope this helped good luck
-Emily
what is the reciprocal of 4/5?
Answer: 5/4
Step-by-step explanation:
I reciprocal of a number can be found if you flip the upper and bottom numbers. Example: the reciprocal of 8 is 1/8
The reciprocal of 4/5 is 5/4.
The reciprocal of a number is when the fraction is turned upside down. This means that the denominator becomes the numerator and the numerator becomes the denominator.
The numerator is 3 and the denominator is 5. IN order to determine the reciprocal 4 becomes the denominator and 5 becomes the numerator. The reciprocal is 5/4.
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Multiplying fractions 4/9 times 54
Answer:
216/9 or simplified 24
Step-by-step explanation:
4
9
×
54
1
=
4 × 54
9 × 1
=
216
9
=
216 ÷ 9
9 ÷ 9
= 24
The value of the expression is 36
What are fractions?
Fractions are simply defined as expressions that are made up of part of a whole number, element, or variable
The different types of fractions in mathematics are;
Simple fractionsImproper fractionsProper fractionsComplex fractionsMixed fractionsFrom the information given, we have that the expression is;
4/9 times 54
Express mathematically, we have;
4/9 ×54
Divide by the common factor
4 × 6
Multiply the values
36
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What is the answer I need help
Answer:
A
Step-by-step explanation:
Monday he ran the highest because 4.5 is greater than the other numbers given.
Answer:
Monday.
Step-by-step explanation:
We want to know on which day he ran the greatest number of miles. The largest number is the greatest number of miles. 4.5 is the largest number and that is on Monday
Tina uses a $50.00 gift certificate to buy a pair of pajamas for $17.97, a necklace for $25.49, and 3 pairs of socks that each cost the same amount. Tina has to pay $0.33 because the gift certificate does not cover the total cost of all the items. How much does each pair of socks cost?
Answer:
$2.29
Step-by-step explanation:
She spent the $50.00 gift certificate plus $0.33.
$50.00 + $0.33 = $50.33.
She spent a total of $50.33.
The pajamas cost $17.97.
The necklace cost $25.49.
The total cost of the pajamas and necklace is:
$17.97 + $25.49 = $43.46.
Since she spent a total of $50.33, we now subtract the amount she spent on the pajamas and necklace to find out the cost of the three pairs of socks.
$50.33 - $43.46 = $6.87
The three pairs of socks cost a total of $6.87.
Since all pairs of socks cost the same amount, we now divide $6.87 by 3 to find the price of each pair of socks.
$6.87/3 = $2.29
Each pair of socks costs $2.29.
Mrs. Wong has 144 tiles that she is going to place on her square kitchen floor. If the tiles are $3.79 each, how much did Mrs. Wong spend on tile?
Answer:
Mrs. Wong spend $545.76 on tiles.
Step-by-step explanation:
Mrs. Wong has 144 tiles that she is going to place on her square kitchen floor. If the tiles are $3.79 each, how much did Mrs. Wong spend on tile?
we are given
number of ties=144
cost of one tie=3.79 dollar
we have to find
total cost of 144 ties
for this we will multiply 144 by 3.79
multiplying 144 by 3.79 gives=144*3.79
it other words
one tile cost=$3.79
and for 144 ties cost
multiplying 144 on both sides
144 tiles cost=3.79*144=$545.76
Answer:
She will spend $545.76!
Step-by-step explanation:
To get the answer you must multiply 144 by 3.79. You will end up with $545.76
Good Luck
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Which expression uses the greatest common factor and the distributive property to rewrite the sum 60 + 24?
6(10+4)
10(6+4)
6(10+24)
12(5+2)
Answer: A is the answer
Step-by-step explanation: 6(10 + 4). 6(10 + 4) = 6 × 10 + 6 × 4 =60 + 24
Maya earns 72 dollars for working 5 hours. How long will it take for her to earn 216 dollars at the same pay rate?
Answer:
15 hours
Step-by-step explanation:
Because you have to divide 72 by 5 to find out much money she makes per hour. You then find out that he makes $14.40 an hour and then you mutliply it bu different numbers until you get 216 and 14.40 times 15 is 216
help me thx so much for ur help
To solve this problem, we first need to figure out how much tax will be applied to Neil's purchase. To do this, we need to multiply the tax rate (5%) by the cost of the washing machine ($445). But, we can't multiply percentages unless we change them to decimal form first. To do this, we need to divide the percentage by 100 (because 5 percent is a fraction out of a total 100 percent) or move the decimal point two spots to the left. This gives us the following:
0.05 * 445
If we compute this expression, we get:
$22.25
This means that Neil will be charged $22.25 in tax. However, the question asks for the total cost including tax, so we must add the original cost of the washing machine to the tax.
$445 + $22.25 = $467.25
Therefore, your answer is $467.25.
Hope this helps!
how much time will it take a car travelling at 88km/hr(55mi/HR) to travel 500km?show work
Answer:
5 15/22 hours
5.6818 hours
Step-by-step explanation:
Distance is equal to the rate times the time
D = rt
We know the rate = 88 km/hr and the distance = 500 km
Substitute these in
500 = 88 *t
Divide each side by 88
500/88 = 88t/88
5 15/22 hours
5.6818 hours