Answers
Answer:
To determine if fractions are equivalent, you need to get a common denominator. When the denominators are the same, if the numerators are the same, the fractions are equivalent
Step-by-step explanation:
To determine if fractions are equivalent, you need to get a common denominator. When the denominators are the same, if the numerators are the same, the fractions are equivalent
Related Questions
Which expression is equivalent to: (x^1/4 y^16)^1/2 ?
A. X^1/2 Y^4
B. X^1/8 Y^8
C. X^1/4 Y^8
D. X^1/4 Y^4
Answers
Answer: B. X^1/8 Y^8
Step-by-step explanation:
The equivalent expression for (x^1/4 y^16)^1/2 is x^1/8 y^8, using the power of a power rule in properties of exponents.
The expression (x^1/4 y^16)^1/2 can be simplified through the properties of exponents. To simplify, we apply the power of a power rule, which states that (a^m)^n = a^(m*n). Applying this rule:
(x^1/4 y^16)^1/2 = x^(1/4 * 1/2) * y^(16 * 1/2) = x^(1/8) * y^8
Therefore, the equivalent expression is x^1/8 y^8, which corresponds to option B.
Help me with 1-8 please!
Answers
2) they want 2 section a, 3 section b, and 2 section c, and sincc you want to know total you multiply number of tickets bought by cost per ticket, so its 2(10)+3(20)+2(30)=180 total cost.
3) sine they have 350 dollars yoy subtract cost of the ps4 from the amount they have and you get, 350-234=116 dollars remaining.
4) since they make 15 per lawn you write 15x, x representing number of lawns cut, and you set that equal to 225, so its 15x=225 then you divide 15 on both sides to get x= 15 lawns they need to cut.
5) you just divide 2/4 since they ate two of four slices and you get .5 then convert that to a decimal by moving decimal point 2 spaces over to get 50%.
6) Just add up all the costs of each song, so you get .99+1.19+1.5+.99 = 4.67 dollars as total cost.
7) since 60 min is in an hour and you have 30 min left over it would be 1hr and 30 min.
8) since its Monday through Friday which is only 5 days you multiply that by 4 weeks to get 20 days then you multiply by 30 since they study 30 min on each of those days, so you get 20×30 which is 600min of studying, but since it want is in hours divide 600 by 60 to get 10hrs of study.
In the equation C=2.5r+15 with is the constant and which is the coefficient
Answers
Answer:
constant = 15
coefficient = 2.5
Step-by-step explanation:
A constant does not change value no matter what, and a constant's derivative is always 0. In this equation, 15 does not change with any variable, therefore it is the constant.
A coefficient is the number that comes before a variable. In the equation, r is a variable, and the number 2.5 comes before it, making it the coefficient.
A company employee is planning a promotion party with her friends. She orders 6 pizzas for $7 each, 2 bowls of mixed salad for $12 each, and 4 cases of assorted soft drinks for $5 each. How much is she spending on the party?
Answers
Answer:
$86 is she spending on the party.
Step-by-step explanation:
As per the statement: A company employee is planning a promotion party with her friends. She orders 6 pizzas for $7 each, 2 bowls of mixed salad for $12 each, and 4 cases of assorted soft drinks for $5 each.
⇒ 6 pizzas for $7 each
Total cost for 6 pizzas = [tex]6 \times 7 = \$42[/tex]
2 bowls of mixed salad for $12 each.
Total cost for 2 bowls = [tex]2 \times 12 = \$24[/tex]
and
4 cases of assorted soft drinks for $5 each.
Total cost for 4 cases of assorted soft drinks = [tex]4 \times 5 = \$20[/tex]
She spending on party = Total cost for 6 pizzas + Total cost for 2 bowls + Total cost for 4 cases of assorted soft drinks
Substitute the values we get;
Total cost she spending on party = [tex]\$42 + \$24 + \$20 =\$86[/tex]
qhich are the solutions of the quadratic equation x^2=9x+6
Answers
x^2-9x-6=0
Use the quadratic formula to get (9+sqrt(105))/2 or (9-sqrt(105))/2
In the graphing tool, choose the custom option in the Relationship menu to graph the functions f(x) = x3 + 3 and g(x) = x2 + 2. Adjust the zoom level of the graph so you can see the point where the two graphed functions intersect. Then, left-click on the point where the functions intersect. The values of the point you click on, rounded to the nearest hundredth, will appear for about 2 seconds. Note: If you’re not using a mouse (or a mouse with left-click ability), perform the equivalent zoom-in action on your device to see the intersection point values rounded to the nearest hundredth. Then, approximate (to the nearest hundredth) the solution of f(x) = g(x) from part A of this question.
Answers
Answer:
Final answer is x= -0.76 and y=2.57.
Step-by-step explanation:
We have been given two functions [tex]f(x)=x^3+3[/tex] and
[tex]g(x)=x^2+2[/tex]
Now question says to graph the given functions [tex]f(x)=x^3+3[/tex] and
[tex]g(x)=x^2+2[/tex] using some graphing tool. Then zoom as per requirement so that you can see the intersection point and read that point from graph which should be correct up to hundredth decimal place.
I'm using Desmos graphing calculator. Just type both functions then it will create graph for you. Click on intersection point as you can see in the attached picture. They intersect at point (-0.755,2.57).
Hence final answer is x=-0.76 and y=2.57.
Answer:
(-0.76, 2.57)Step-by-step explanation:
The given functions are
[tex]f(x)=x^{3}+3\\ g(x)=x^{2} +2[/tex]
If we wanna find [tex]f(x)=g(x)[/tex] we can just graph and see such point, or we can do some algebra to find it. This problem, specifically, asks an answer using a graphic method. The graph with both functions is attached.
You can see that the interception point is (-0.755, 2.57), which rounded to the nearest hundred is (-0.76, 2.57). At this point the functions are equal ([tex]f(x)=g(x)[/tex]), that's what an interception means.
We obtained this point by just left-clicking on the interception point, as the problem indicates.
What is the value of the digit 7 in 172,416.
Answers
Answer:
The 7 in 172,416 is placed in the Ten-Thousands place. That is the place value.
I hope i am correct.
3) The cost of different sizes of orange juice are shown in the table.
Wich container costs the least per ounce?
Answers
1.28/16=0.08
8¢ per oz
1.92/32=0.06
6¢ per oz
2.56/64=0.04
4¢ per oz
3.36/96=0.035
3.5¢ per oz
The 96 oz orange juice for $3.36 costs the least per oz.
Answer:
D. $0.035 per ounce.
Step-by-step explanation:
We have been given a table. We are asked to find the container that costs the least per ounce.
Let us find per ounce cost of each container as:
A. [tex]\frac{\$1.28}{\text{16 oz}}=\frac{\$0.08}{\text{oz}}[/tex]
B. [tex]\frac{\$1.92}{\text{32 oz}}=\frac{\$0.06}{\text{oz}}[/tex]
C. [tex]\frac{\$2.56}{\text{64 oz}}=\frac{\$0.04}{\text{oz}}[/tex]
D. [tex]\frac{\$1.92}{\text{96 oz}}=\frac{\$0.035}{\text{oz}}[/tex]
Therefore, the container with 96 oz for $3.36 costs the least per ounce.
Let f(x)=3x+5 and g(x) =x^2 find g(x)/f(x) and state its domain
Answers
[tex]\text{Let}\ f(x)=3x+5\ \text{and}\ g(x)=x^2\\\\\dfrac{f(x)}{g(x)}=\dfrac{3x+5}{x^2}\\\\\text{The domain:}\\\\x^2\neq0\to x\neq0\\\\Answer:\ \boxed{x\in\mathbb{R}-\{0\}}\to\boxed{x\in(-\infty,\ 0)\ \cup\ (0,\ \infty)}\\\\\text{All real numbers except 0.}[/tex]
1. Identify the pair of fractions equivalent to 25/45 *
5/9, 75/135
5/9, 20/40
50/90, 75/120
5/8, 75/135
2. Write 30/7 as a mixed number in simplest form. *
4 and 2/7
4 and 7/2
1 and 4/7
1 and 5/7
3. Write 27/36 in simplest form. *
3/4
2/3
3/5
1/5
Answers
Answer:
Hope this helps! Brainliest please
Step-by-step explanation:
1. Divide both by 5, so the correct answer would be 5/9, and then multiply both by 3, so the correct answer would be 75/135. The answer is 5/9,75/135
2. 4 and 2/7 because 7 *4=28. That leaves 2 sevenths over.
3. Divide both by 9. Your answer is 3/4
A circle with area 9π has a sector with a central angle of 1/9 π radians . What is the area of the sector?
PLEASE ANSWER WORTH 50 POINTS!!
Answers
Answer:
A = pi/2
Step-by-step explanation:
Area of a sector is given by
A = 1/2 r^2 theta when theta is given in radians
We know the area of the circle (pi * r^2) so we multiply by pi/pi
A = 1/2 pi/pi r^2 theta
A = 1/(2* pi) * pi r^2 theta
= 1/(2* pi) * Ac theta where Ac is the area of a circle
Substituting what we know Ac = 9 pi and theta = 1/9 * pi
A = 1/(2* pi) * 9*pi 1/9 * pi
A = 1/(2* pi) * pi^2
A = 1/2 * pi
A = pi/2
Answer:
Its [tex]\frac{\pi }{2}[/tex] .
Step-by-step explanation:
Because the work shown below will show you how:
[tex]\frac{\theta}{2\pi } = \frac{A_s}{A_c}\\\frac{1}{9} /2\pi = \frac{A_s}{9\pi } \\\frac{1}{18} = \frac{A_s}{9\pi } \\\frac{1}{18} * 9\pi = A_s\\=\pi/2[/tex]
Write the phrase "one more than the product of six and nine" as a mathematical expression.
A. 6 – 9 + 1
B. 6 + 9 + 1
C. 6 ⋅ 9 + 1
D. 6⁄9 + 1
Answers
Answer:
C. 6 ⋅ 9 + 1
Step-by-step explanation:
Start with the multiplication:
"one more than the product of six and nine"
6 ⋅ 9
Now take care of the addition by adding 1 to the product.
"one more than the product of six and nine"
6 ⋅ 9 + 1
Answer: C. 6 ⋅ 9 + 1
A family goes on a long car trip. The number of miles, y, they have left to drive is given by the equation y=510−60x, where x represents the time in hours. Which of the following values could be in the domain in this problem? Check all that apply.
1.5
10
0
60
-3
Answers
Answer:
0,1.5
Step-by-step explanation:
y = 510 - 60x
We want to find the domain or the x values where x represents the time
We need to determine the possible values for x
Y cannot be greater than 510 or less than 0. 510 means they have not started the trip, and 0 means they have arrived
510 = 510 -60x
Subtract 510 from each side
510-510 = 60x
0 = 60x
The smallest value of x can be 0
0 = 510 - 60x
Subtract 510 from each side
-510 = 510-510-60x
-510=-60x
Divide by -60
-510/-60 = -60x/-60
8.5 = x
The maximum value of x is 8.5 hours
So x must be between 0 and 8.5 inclusive.
Answer:
1.5 and 0
Step-by-step explanation:
The domain is the set of all possible x-values that make the function work and generate real y-values.
y = 510 – 60x
y cannot be greater than 510, because that would mean they are not yet at their starting point.
y cannot be less than 0, because that would mean they have passed their destination
We can get an idea of the domain if we solve the function for x. We get
x=(510 – y)/60
If y = 510, x = 0.
If y = 0, x = 510/60 = 8.5.
Thus, the domain is 0 ≤ x ≤ 8.5.
The only numbers in your list that could be in the domain are 1.5 and 0.
10 and 60 are wrong, because they give negative values for y.
-3 is wrong, because it gives y > 510.
what is the equation of the line on the graph with points (-2,2) and (-2,-3)
Answers
Answer:
x=-2
Step-by-step explanation:
Given points are (-2,2) and (-2,-3).
Now we need to find equation of the line passing through the given points.
So let's begin by finding slope
[tex]m=\frac{\left(y_2-y_1\right)}{\left(x_2-x_1\right)}=\frac{\left(-3-2\right)}{\left(-2-\left(-2\right)\right)}=\frac{\left(-5\right)}{\left(-2+2\right)}=-\frac{5}{0}[/tex]
which is undefined. That means graph of the line must be vertical as you can see that in given points, x-value is not changing.
Equation of vertical line is given by x=k where k is the fixed value of x-coordinate.
x-coordinate is -2 in given points.
Hence final equation is x=-2.
Answer:
x=-2
Step-by-step explanation:
find the area of washers whose external and internal diameter are 15cm and 13cm
Answers
Answer:
≈ 44 cm²
Step-by-step explanation:
the area (A) of the washer is found using A = πr² ( r is the radius )
A = external area - internal area
external radius = [tex]\frac{15}{2}[/tex] = 7.5 cm
internal radius = [tex]\frac{13}{2}[/tex] = 6.5 cm
A = π ( 7.5² - 6.5² ) = π (56.25 - 42.25 ) = 14π ≈ 44 cm²
The area of the washer is calculated by finding the area of the external circle using its radius and then subtracting the area of the internal circle determined by its radius.
Explanation:To find the area of a washer, we need to calculate the area of the larger outer circle and subtract the area of the smaller inner circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.
Firstly, we calculate the area of the outer circle with a diameter of 15 cm. The radius r is half the diameter, so r = 15cm / 2 = 7.5 cm. The area, A₁, of the outer circle is:
A₁ = π × (7.5 cm)²
Secondly, we calculate the inner circle's area with a diameter of 13 cm. Similarly, its radius r is 13cm / 2 = 6.5 cm. The area, A₂, of the inner circle is:
A₂ = π × (6.5 cm)²
To find the washer's area, we subtract the inner area from the outer area:
Area of Washer = A₁ - A₂ = (π × (7.5 cm)²) - (π × (6.5 cm)²)
The result will be the cross-sectional area of the washer.
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Does anyone have any Idea how to solve this?
Answers
Answer:
x = 12
Step-by-step explanation:
Remark
These two angles are corresponding angles and as such, they are equal.
Equation
8x+ 36 = 5x + 72
Solution
Subtract 5x from both sides
8x - 5x + 36 = 5x - 5x + 72 Combine like terms.
3x + 36 = 72 Subtract 36 from both sides
3x + 36 - 36 = 72 - 36 Collect like terms
3x = 36 Divide by 3
3x/3 = 36/3 Divide
x = 12 Answer
Latoya is on her way home in her car. She has driven 30 miles so far, which is five-sixths of the way home. What is the total length of her drive?
Answers
Answer:
36
Step-by-step explanation:
5/6 of x = 30 miles
Multiply each side by 6 to get rid of the fraction
5x = 180
Divide each side by 5
x = 36
find the value of x. please explain your answer:)
Answers
Answer:
x=16
Step-by-step explanation:
we know that 3x+2=50 according to complemntary angles.
3x=48
x=16
What is the value y of 3x + y = 9 y = –4x + 10
Answers
Answer:
1
Step-by-step explanation:
first of all, use substitution.
3x + - 4x +10 =9
Then move all x's to one side.
10 = 9 + x
Move all normal numbers to one side
1 = x
Answer:
y=6
Step-by-step explanation:
1/2 of a box of cereal is divided equally between 4 bowls.How much cereal is in each bowl
Answers
Answer:
0.125
Step-by-step explanation:
you have half of box divide that by 4
circle segments and angles .
Answers
Answer:
arcBC = 148° ; ∠ACD = 26°
Step-by-step explanation:
Note that these two problems given to us uses the "inscribed angle theorem", which states that the angle is 1/2 the measurement of a central angle. Keep in mind that the central angle's measurement is the same as it's projected arc, and so the inscribed angle would also be 1/2 the measurement of the projected arc. This works vice versa too. The projected arc would be twice as large as the inscribed angle's measurement.
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I NEED THESE DONE OR I WONT GET A GOOD GRADE!!!!!
PLEASE HELP ME!!!!!
14. 8x + 7 = -9
21. - 9d - 1 = 17
23. -5b + 24 = -1
7. - 1/5b - 2/5 = -2
2. 2/7y + 5 = -9
Answers
Answer:
14.x=-2
21. x=-2
23. x=5
7.x=12
2.x=49
Step-by-step explanation:
I got your back bro:
14. Subtract 7 on both sides. Then divide -16 by 8. x=-2
21. Add 1 on both sides. Divide 18 by -9. x=-2
23. Subtract 24 on both sides, then divide -25 by -5. your answer is x=5.
7. Add 2/5 on both sides. then multiply 2 2/5 by the reciprocal of -1/5. Your answer is x=12
2. Subtract 5 on both sides. Multiply 14 by the reciprocal of 2/7, or 7/2. Your answer is 49.
Good luck!
The Law of Large Numbers states that as the number of trials of an experiment increases, the experimental probability of an event occurring approaches the theoretical probability of the event occurring. Jake received a "magic" coin from his uncle. He flipped it 100 times, and found that it came up heads 64% of the time. He flipped it another 500 times, and it came up heads 57% of the time. He then flipped it 1000 times, and it came up heads 58% of the time. Then, he flipped it 1500 times, and it came up heads 62% of the time. Based on the Law of Large Numbers, what do you think the theoretical probability of the magic coin coming up heads is? Explain how you could test your hypothesis.
Answers
Answer: Explained.
Step-by-step explanation: We are familiar with the theory of probability and the Law of 'Large Numbers'.
According to this law, if same experiment is repeated a large number of times, then the average of the experimental results in each trial shoul be very close to the theoretical probability.
When Jake flipped the magic coin 100 times, the probability of getting hesd was 0.64.
When he flipped 500 times, the probability of getting head was 0.57.
When he flipped 1000 times, the probability of getting head was 0.58
and when he flipped 1500 times, the probability was 0.62.
Also, the theoretical probability of the magic coin coming up head is
[tex]p=\dfrac{1}{2}=0.5.[/tex]
Therefore, we see that as the number of experiments increases, the value becomes closer to the theoretical value which is 0.5.
Complete the missing parts of the paragraph proof.
Answers
Answers:
1) Given
2) angle 2 ** see note below
3) angle 3 ** see note below
4) converse of alternate exterior angle theorem
note: you can swap the answers for 2 and 3 and it doesn't matter
========================================================
Explanations:
1) This is given so we just simply state "given". It seems silly to repeat what is given, but this is how you start any geometry proof.
2 & 3) The answers here are angle 2 and angle 3 because they are both interior angles (on the inside of the parallel lines m and L) and they are on alternate sides of the transversal line q. So they are both alternate interior angles and are congruent due to line L parallel to line m (alternate interior angle theorem)
4) If you have a pair of parallel lines, then the alternate exterior angle theorem says that alternate exterior angles are congruent. Going in reverse, the converse of this theorem says that having a pair of congruent alternate exterior angles (angle 1, angle 2) leads to the lines being parallel (p and q).
A well-structured paragraph should have unity under a single thesis, clear topics, and relevant evidence. The analysis of the evidence reinforces the main point.
Explanation:A well-structured paragraph should have unity under a single thesis, clear topics supported by relevant evidence, and appropriate transitions. The supporting evidence can include facts, statistics, expert opinions, and examples. The analysis of the evidence should explain its significance and reinforce the main point of the paragraph.
Learn more about Paragraph Structure here:https://brainly.com/question/8576846
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list three values that would make this inequality true
Answers
Answer:
1, 2, 3
Step-by-step explanation:
solve the inequality by dividing both sides by 2, hence
n ≤ 3
3 = 3 and 1, 2 < 3
hence 1, 2 and 3 all make the inequality true
8 1/3 ÷x=2 1/3 ÷9.1 please help!
Answers
Answer: x = 32 1/2
Step-by-step explanation:
2 1/3 divided by 9.1 = 10/39
8 1/3 divided by 10/39 = 32 1/2
8 1/3 divided by 32 1/2 = 2 1/3 divided by 9.1
The formula for the sum of the degree measures of the interior angles of a polygon is S= 180(n-2). Solve for n, the number of sides of the polygon, in terms of S
Answers
Answer:
n = S/180 + 2
Step-by-step explanation:
S = 180(n - 2)
First, divide both sides by 180.
S/180 = n - 2
Now add 2 to both sides.
S/180 + 2 = n
n = S/180 + 2
Answer:
n = (S/180) + 2
Step-by-step explanation:
You are solving for n, and so isolate the variable. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS:
PEMDAS =
Parenthesis
Exponent ( & roots)
Multiplication
Division
Addition
Subtraction
---------------------------------------------------------------------------------------------------------
First, divide 180 from both sides
(S)/180 = (180(n - 2))/180
S/180 = n - 2
Next, to isolate the variable (n) completely, add 2 to both sides
(S/180) (+2) = n - 2 (+2)
(S/180) + 2 = n
n = (S/180) + 2 is your answer
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a store marks up the wholesale cost of all bikes by 30% . Andre wants to buy a bike that has a price tag of $196. What was the wholesale cost of te bike?
Answers
Answer:
$150.77
Step-by-step explanation:
The cost of the bike after a 30% markup is equal to $196. In order for this to happen we have to understand that to mark something up means 100% + 30% in this case. 100% represents the original price of the item and 30% is the markup. In decimals 100% is = 1 since 100÷100=1 and 30% is 30÷100=0.3, therefore to mark the original item "x" we have to multiply that number by 1.30 and so mathematically speaking:
[tex]x(1.3)=196\\\\x=\frac{196}{1.3}\\\\x=150.77[/tex]
The wholesale price of the bike is $150.77
what is the value of c when the value of the expression 2(3–5c) is 1 less than the value of the expression 4(1–c)?
Answers
The answer in fraction form is c = 1/2
The answer in decimal form is c = 0.5
=============================
Explanation:
Saying "A is 1 less than B" means A = B-1. So whatever B is, subtract 1 from it and you get the value of A.
Replace A with the expression 2(3-5c). Replace B with 4(1-c)
We go from this
A = B - 1
to this
2(3-5c) = 4(1-c) - 1
----------
Let's isolate c
2(3-5c) = 4(1-c) - 1
2(3)+2(-5c) = 4(1)+4(-c) - 1
6-10c = 4 - 4c - 1
6-10c = 3 - 4c
6-3 = -4c+10c
3 = 6c
6c = 3
c = 3/6
c = 1/2
c = 0.5
The value of c in the given expressions is 1.
The value of c when the expression 2(3–5c) is 1 less than the expression 4(1–c) is 1.
First, we set up the equation: 2(3-5c) = 4(1-c) - 1.
Solving this equation step by step will lead us to the value of c.
In this case, the solution is c = 1.
A girl's feet are negative 4/5 yards from the surface of a pool. A boy's feet are negative 2/5 yards from the surface of the pool. Determine whose feet are closer to the surface.
The girl's feet are closer to the surface of the pool because negative 4/5 > negative 2/5.
The boy's feet are closer to the surface of the pool because negative 4 over 5 > negative 2 over 5.
The girl's feet are closer to the surface of the pool because negative 4 over 5 < negative 2 over 5.
The boy's feet are closer to the surface of the pool because negative 4 over 5 < negative 2 over 5.
Answers
Answer:
The boy's feet are closer to the surface of the pool because negative 4 over 5 < negative 2 over 5.
Answer:
Its B
Step-by-step explanation:
the other guys is wrong i got it wrong so its b
I did the test trust me he's wrong