Answer: 10.368
Step-by-step explanation:
20% of 51.84 is 10.368 or just 10.36
Is 1 over 1/3 a unit rate
One third is a number. A mixed number is one that contains both an integer and a fraction. When something is a "unit rate," the fact that it lacks unit rate is crucial.
What is unit rate?The phrase "so much of this for one of that" is used to describe a "unit rate." Therefore, a unit rate needs to have units. For instance, you might have miles per hour (how many miles in an hour? ), dollars per hour (how much money is earned in an hour? ), beats per minute (how many beats are there in an hour? ), pounds per bag (how many pounds are there on average in a bag? ), people per boat (how many people are there on average in a boat? ), etc. For instance, the number 12 is used to symbolize half of a whole number or object.
One third is a number. A mixed number is one that contains both an integer and a fraction. When something is a "unit rate," the fact that it lacks units is crucial.
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simultaneous equations
5x + 3y= 31
2x + y = 12
a. find for x
b. find for y
Answer:
x=5
y=2
Step-by-step explanation:
5x + 3y= 31
-6x - 3y = -36 (multiple by -3)
-x=-5
x=5
2(5)+y=12 or 25 + 3y= 31
10+y=12 3y=6
y=2 y=2
Answer:
x = 5, y = 2
Step-by-step explanation:
I'll use substitution on this one, which makes me choose one of the equation and solve for x. (5x + 3y = 31 was chosen)
5x + 3y = 31
Subtracct 3y from both sides
5x = -3y + 31
Divide both sides by 5
x = 1/5 (-3y + 31)
Multiply 1/5 by -3y + 31
x = -3/5y + 31/5
Substitute -3/5y + 31/5 for x in the other equation (2x + y = 12)
2 (-3/5y + 31/5) + y = 12
Multiply -3/5y + 31/5 by 2.
-6/5y + 62/5 + y = 12
Add -6/5y to y
-1/5y + 62/5 = 12
Subtract 62/5 from both sides
-1/5y = -2/5
Multiply both sides by -5
y = 2
Now head back to the previous equation, except substitute y for 2.
x = -3/5 * 2 + 31/5
Multiply -3/5 by 2.
x = (-6 + 31)/5
Add -6 and 31
x = 25/5
Divide 25 by 5.
x = 5
Formulate 5 and 2 for x and y in the equation.
5(5) + 3(2) = 31
2(5) + 2 = 12
25 + 6 = 31; true
10 + 2 = 12; true
x is 5 and y is 2.
Find the value of x in each case:
PLEASE ANSWER QUICKLY
Answer:
8x+9x+(180-5x) = 360
17x+180-5x = 360
12x+180 = 360
12x = 360-180
12x = 180
x = 15
Bentley invested $430 in an account paying an interest rate of 2.5% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $510?
Answer:
its 11
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Jeremiah's new running sneakers cost $95. Their
state also has a 6.35% sales tax. How much will
Jeremiah have to pay for the sneakers, including
sales tax?
Answer:
$101.03
Step-by-step explanation:
two ways to solve:
95 x 1.0635=101.03
or
95 x .0635=6.03 sales tax paid
sales price 95 + sales tax 6.03 = total paid $101.03
Fill in the missing values below one at a time to find the quotient when x^3 - x^2 - 3x + 2 is divided by x - 2.
Therefore, the quotient when x³ - x² - 3x + 2 is divided by x - 2 is x² - 2x - 5 with a remainder of -3.
To find the quotient when x³ - x² - 3x + 2 is divided by x - 2, we will use the long division method. Here is the solution:
Step 1: The first term of the quotient is x². Multiply x² by x - 2 to get x³ - 2x². Subtract this product from x³ - x² to get: x² - 3x² = -2x²
Step 2: Bring down the next term of the dividend, which is -3x. The new dividend is -2x² - 3x.
Step 3: The second term of the quotient is -2x. Multiply -2x by x - 2 to get -2x² + 4x. Subtract this product from -2x² - 3x to get -5x.
Step 4: Bring down the last term of the dividend, which is +2. The new dividend is -5x + 2. Step 5: The third term of the quotient is -5. Multiply -5 by x - 2 to get -5x + 10. Subtract this product from -5x + 2 to get -3.
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g A zoologist spots what might be a rare subspecies of beetle, due to the pattern on its back. In the rare subspecies, 98% have the pattern. In the common subspecies, 5% have the pattern. The rare subspecies accounts for 1% of the population. Given that a beetle has the pattern, what is the probability that it belongs to the rare subspecies
Answer:
Given that a beetle has the pattern, 0.098 is the probability that it belongs to the rare subspecies
Step-by-step explanation:
Probability of having a pattern in rare subspecies \(= 0.98\\\)
Percentage of rare subspecies = 1 % = 0.01
Probability of a beetle with pattern belonging to rare subspecies is
\(=0.01 * 0.98 \\= 0.098\)
Whats the answer to this question?
whats 225.286 rounded to the nearest ones? please help ASAP
Answer:
225
Step-by-step explanation:
Answer:
The answer is 225
Which is an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12?
Answer:
x= -2
y= 3
Now,
5x-y = 12
5*(-2) - 3 = 12
-10 - 3 = 12
-13 = 12
So, this equation doesnot pass through (-2,3).
Joyce saved $220 on an item that was 75% off what was the original price
Answer:
$880
Step-by-step explanation:
Use the equation:
\(P=(1-d)x\) with d being the discount in a decimal form, and P being the price that was bought at.
220=(1-0.75)x
simplify parenthesis terms
220=0.25x
divide both sides by 0.25
880=x
So, the original price was $880.
Hope this helps! :)
If you draw a card from a standard deck of 52 playing cards, what is the probability that it is a heart or a diamond?
Answer:
1/2
Step-by-step explanation:
In a deck of cards, there are 13 hearts and 13 diamonds
13+13 = 26 hearts or diamonds
P( hearts or diamonds) = numbers of hearts or diamonds / total
=26/52
= 1/2
Determine if the following probability is experimental or theoretical.
Abbey threw 10 foul shots and made 6 of them. What is the probability Abbey will make her next shot?
A)Experimental
B)Theoretical
What number line represents the solution for the inequality -1\2x>4
Answer:
Step-by-step explanation:
-1\2x>4
-x> 8
x < -8
The one without a shaded knob starting from -8 on the x-axis; projecting leftward.
The HCF of two numbers is 20. The LCM of both numbers is a multiple of 14. One number is greater than the other, work out the smallest possible numbers
Answer:
20
Step-by-step explanation:
Given that the HCF of two numbers is 20 and the LCM of both numbers is a multiple of 14.
So, the LCM of both numbers = 14n where n can be any natural number.
As HCF of two numbers is always smaller than or equal to the smallest number among both the numbers.
Here, the HCF of two numbers is 20, so the smallest number is greater than of equal to 20.
Hence, the smallest possible number is 20.
−5x−1=
\,\,-2x+14
−2x+14
Answer:
yeaa this is hard but i will help u if i knew what the answer was srry ma g
Step-by-step explanation:
Select the correct answer. Consider this function. Which graph represents the inverse of function f? f(x)= x+4
The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4
What is inverse of a function?An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.
In this problem, the function given is f(x) = x + 4;
We can find the inverse of the function as;
y = x + 4;
Let's switch the variables by replacing x as y and y as x;
x = y + 4
Solving for y;
y = x - 4
f⁻¹(x) = x - 4
The graph of the function is attached below
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Use the number line to find the equivalent decimal and mixed number for givenletter
The equivalent decimal and mixed number for given letter C is,
⇒ C = 8.2 ; 8 2/10
We have to given that,
A number line is shown in image.
Since,
A number lines are the horizontal straight lines in which the integers are placed in equal intervals.
And, All the numbers in a sequence can be represented in a number line. This line extends indefinitely at both ends.
Now, By given number line,
Point C is two point left from point 8.
Hence, The point C is denoted as,
⇒ C = 8.2
⇒ C = 82/10
⇒ C = 8 2/10
Therefore, the equivalent decimal and mixed number for given letter C is,
⇒ C = 8.2 ; 8 2/10
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Zachariah paid $126 for 6 concert tickets. At this rate, what is the cost of 10 concert tickets?
In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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Write the equation in slope-intercept form:
6x + 2) = 8
,,sorry if im wrong i thing is a
Answer:
8=6x+2
Step-by-step explanation:
well slope intercept form is
y=mx+b
where
y=total
m=slope
b=y-intercept
well to solve for x
6x + 2 = 8
subtract 2 from both sides
6x=6
divide bith sides by 6
x=1
If im not mistaken 8=y so
slope intercept form is
8=6x+2
Aimee's garbage disposal has 7/8 horse power. Vincent's garbage disposal has 3/5 horse power. How much more power does aimee's garbage disposal have?
Answer:
Aimee's garbage disposal has 11/40 more power than Vincent's garbage disposal.
Step-by-step explanation:
Aimee's garbage disposal horse power = 7/8
Vincent's garbage disposal horse power = 3/5
All we need is to subtract Vincent's power from Aimee's power.
i.e.
\(\frac{7}{8}-\frac{3}{5}\)
Thus,
\(\frac{7}{8}-\frac{3}{5}\:=\frac{35}{40}-\frac{24}{40}\)
\(\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{c}-\frac{b}{c}=\frac{a-b}{c}\)
\(=\frac{35-24}{40}\)
\(=\frac{11}{40}\)
Thus, Aimee's garbage disposal has 11/40 more power than Vincent's garbage disposal.
The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and standard deviation is 4 beads. Which sentence most closely summarizes the data?
About 80 necklaces have more than 28 beads. Then the correct option is C.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The numbers of beads on 500 handcrafted bead necklaces follow a normal distribution whose mean is 24 beads and the standard deviation is 4 beads.
P(x > 28) = P(x - 24 / 4 > 28 - 24 / 4)
P(x > 28) = P(x - 24 / 4 > 1)
P(x > 28) = 1 - ∅1
P(x > 28) = 1 - 0.8413
P(x > 28) = 0.1587
Multiply both sides by 500, then we have
500 P(x > 28) = 0.1587 × 500
500 P(x > 28) = 79.35
500 P(x > 28) ≈ 80
About 80 necklaces have more than 28 beads. Then the correct option is C.
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The missing options are given below.
A. About 24 devices have more than 28 beads.
B. About 48 necklaces have more than 28 beads.
C. About 80 necklaces have more than 28 beads.
D. About 96 necklaces have more than 28 beads.
Find the area of the shaded region. Round your answer to one decimal place, if necessary. Note: The figure is not drawn to scale.
Area is the quantity that expresses the extent of a region on the plane or on a curved surface. the area of shaded region is 15.728 inches square.
What is Area?Area is the quantity that expresses the extent of a region on the plane or on a curved surface
The diameter of circle is 5, d=5
and the length of side of the equilateral triangle is 3.
to find the area of shaded region we need to find the area of circle and then we have to remove the area of triangle.
π(d/2)²-1/2×a²×sin60⁰
3.14(5/2)²-1/2×3²×√3/2
3.14×2.5²-1/2×9×√3/2
3.14×6.25 -1/2×9×0.866
3.14×6.25-7.794/2
3.14×6.25-3.897
19.625-3.897
15.728
Hence area of shaded region is 15.728 inches square.
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Same Thing as the first one
What is 2.92x8 rounded to the closest half dollar
What is 1.45x4 rounded to the nearest half dollar
What is 0.54x6 rounded to the nearest half dollar
What is 1.65x3 rounded to the nearest half dollar
Answer:
24
6
3
4.50
Step-by-step explanation:
3 x 8
1.5 x 4
.5 x 6
1.5 x3
Serena says that if a regression line is drawn correctly in a scatterplot, there will always be the same number of points above the line as there are below the line. Which of these must be a counterexample to her claim?
a scatterplot with an odd number of points in which the correct regression line passes directly through 0 of the points
a scatterplot with an even number of points in which the correct regression line passes directly through 0 of the points
a scatterplot with an odd number of points in which the correct regression line passes directly through 1 of the points
a scatterplot with an even number of points in which the correct regression line passes directly through 2 of the points
Answer:
a scatterplot with an odd number of points in which the correct regression line passes directly through 0 of the points
The function f(x) = 1.85x2 models the cost of a square carpet, where x is the length in feet. Find the average rate of change for f, to the nearest tenth, over the interval 10 ≤ x ≤ 20.
To find the average rate of change of the function f(x) = 1.85x^2 over the interval 10 ≤ x ≤ 20, we need to find the difference in the function values at the endpoints of the interval and divide by the length of the interval.
The function value at x = 10 is:
f(10) = 1.85(10)^2 = 185
The function value at x = 20 is:
f(20) = 1.85(20)^2 = 740
The length of the interval is:
20 - 10 = 10
So the average rate of change of the function over the interval 10 ≤ x ≤ 20 is:
(f(20) - f(10)) / (20 - 10) = (740 - 185) / 10 = 55.5
Rounding to the nearest tenth, the average rate of change of the function over the interval 10 ≤ x ≤ 20 is approximately 55.5.
How can i get help
Really need this right now
Answer:
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Based on the table, which city has the highest temperature in January?
City January
Temperature (°C)
New Orleans 7
Philadelphia -4
Phoenix 8
Rochester -8
San Antonio 5
A.
New Orleans
B.
Philadelphia
C.
Phoenix
D.
Rochester
E.
San Antonio
Answer:it’s Phoenix
Step-by-step explanation:
Answer:
C.
Step-by-step explanation: