Translate into an algebraic expression:
How old Steve will be in 2 years if k years ago he was w years old?
Greatest common factor or 60 and 20
The greatest common factor of the numbers 60 and 20 is 10.
We have,
To find the greatest common factor (GCF) of 60 and 20, we can list the factors of both numbers and identify the largest factor they have in common.
The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
The factors of 20 are: 1, 2, 4, 5, 10, 20.
From the list above, we can see that the common factors of 60 and 20 are 1, 2, 4, 5, and 10.
Among these common factors, the largest one is 10.
Therefore,
The greatest common factor of the numbers 60 and 20 is 10.
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Which expression is not equivalent to the others? Explain your reasoning.
_-1/4 -1/4 1/-4 _-1/-4
Naomi is two-thirds as tall as her father. If Naomi is 54 inches tall, how tall is her father?
Answer:
Naomi's father is 81 inches tall.
Step-by-step explanation:
Naomi is two-thirds as tall as her father.
Let "x" be the Naomi's father height.
Naomi is 54 inches tall.
[tex]\frac{2}{3}.x = 54[/tex]
We need to solve for x.
To solve for x, multiply both sides by the reciprocal of [tex]\frac{2}{3}[/tex].
The reciprocal of [tex]\frac{2}{3}[/tex] is [tex]\frac{3}{2}[/tex].
[tex]\frac{3}{2} . \frac{2}{3} . x = 54.\frac{3}{2}[/tex]
x = [tex]54.\frac{3}{2}[/tex]
x = 27.3
x = 81
So, Naomi's father is 81 inches tall.
solve for the indicated variable u=x-k, for x
What is the value of p? 3+17p=−32−11p
The value of p in this equation 3 + 17p = -32 - 11p is -5/4. To find the value of p, we need to solve the equation: 3 + 17p = -32 - 11p
First, let's gather all the terms involving p on one side of the equation:
17p + 11p = -32 - 3
Now, combine the p terms:
28p = -35
Now, isolate p by dividing both sides of the equation by 28:
p = -35 / 28
To simplify the fraction, we can divide both the numerator and denominator by the greatest common divisor (GCD) of 35 and 28, which is 7: p = -5/4
So, the value of p is -5/4.
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How can the statement be written as a conditional statement in if-then form? Lines on a coordinate plane are perpendicular if they have opposite reciprocal slopes.
A) If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular.
B) If lines are on a coordinate plane, then they are perpendicular.
C) If lines are on a coordinate plane, then they have opposite reciprocal slopes.
D) If lines have opposite reciprocal slopes and are perpendicular, then they are on a coordinate plane.
the answer IS A. got it right on e2020
The correct conditional statement in if-then form for the given statement is 'If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular', which is option (A).
Explanation:The given statement can be written as a conditional statement in if-then form: 'If lines on a coordinate plane have opposite reciprocal slopes, then they are perpendicular'. This represents the option (A). Here, the 'if' part presents the condition of lines on a coordinate plane having opposite reciprocal slopes, and the 'then' part gives the conclusion that they are perpendicular. It's called conditional since the conclusion depends on the condition being true.
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Find the greatest factor of 70, 30 and 50
When Mr. J. Raff took his two children to the zoo, their tickets cost $8.75. The next family in line was Mrs. Ella Fant with Grandpa and the five Fant kids. Their tickets cost a total of $19.75. How much does the zoo charge for each adult and for each child?
The zoo charges approximately $4.42 for each adult and $0.92 for each child.
Explanation:To determine the cost of an adult ticket, we can subtract the cost of the children's ticket from the total cost. Let's set up a system of equations using variables for the cost of an adult ticket (a) and the cost of a child ticket (c):
a + 2c = 8.75
a + 5c = 19.75
Multiplying the first equation by 5 and subtracting the second equation from it, we get:
5a + 10c - a - 5c = 43.75 - 19.75
4a + 5c = 24
Now we can solve this system of equations to find the values of 'a' and 'c'.
Multiplying the first equation by 4 and subtracting the second equation from it, we get:
4a + 8c - 4a - 20c = 35 - 24
-12c = -11
c = -11 / -12
c = 11 / 12
Substituting the value of 'c' back into the first equation, we get:
a + 2 * (11 / 12) = 8.75
a + 11 / 6 = 8.75
a = 8.75 - 11 / 6
a = 53 / 12
So, the zoo charges approximately $4.42 for each adult and $0.92 for each child.
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PLS HELP!!!!!
Which pair of fractions shows 5/6 and 3/8 correctly converted with their least common denominator? A. 5/48 and 3/48 B. 40/48 and 18/48 C. 5/24 and 3/24 D. 20/24 and 9/24
PLS HELP!!!!!
round 5370288 to the nearest 100,000
Write 64,500 in scientific notation
A polygon is regular if each of its sides has the same length. Find the perimeter of the regular polygon. #36
The perimeter of the triangle is 3 unit.
What is a Triangle?
A triangle is a polygon with three sides, angles and vertices.
The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse , acute and right angled triangle and scalene, isosceles and equilateral triangle.
A polygon is called regular if it has all sides equal.
The figure shows a triangle.
The two sides of the triangle are 5-2x and -4x+9
When all the sides of the triangle is equal, it is called an equilateral triangle.
5-2x = -4x +9
Taking the like terms on one side,
-2x +4x = 9 -5
2x = 4
x = 2
The measure of each side is,
5 - 2*2 = 1
-4x +9 = -4 * 2 +9 = 1
The side length is 1 unit.
The perimeter of a triangle is the sum of all sides, as all the sides are equal, the perimeter is equal to 3 * side.
Perimeter = 3 * 1
Perimeter = 3 unit.
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What is 1/8 in decimal form?
What is 11 divided by 3
how does a digit in the ten thousand place compare to adigit in the thousand
A train travels 558 miles in 3 hours. At this rate, how far does the train travel per hour?
Calculate 6231+2787 by rounding each number to the nearest:
1000
100
50
10
twice a number (x) is less than 10
On which section will you write $50 cash?
1) A
2) B
3) C
4) D
r = 2/3t + v , for t
need answer a how u got it
To solve the equation r = 2/3t + v for t, subtract v from both sides and then multiply by the reciprocal of 2/3. The final equation is t = (3/2)(r - v).
Explanation:You are looking to solve the equation r = 2/3t + v for t. To do this, you need to isolate t on one side of the equation. Here are the steps:
Subtract v from each side. This gives us: r - v = 2/3t. To get t alone, we need to get rid of 2/3. Therefore multiply both sides of the equation by the reciprocal of 2/3, which is 3/2, resulting in: (3/2)(r-v) = t.
So the answer is t = (3/2)(r-v).
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in order for Brady to earn a b in his biology course, his test scores must average at 80%. ON the first 5 tests, he has an average of 77%. There is one test remaining in the course. What is the minimum score Brady needs to earn on the last test to receive a b in the class?
Answer:
Brady needs to earn a 95% on the final test
Step-by-step explanation:
Hello, great question. These types are questions are the beginning steps for learning more advanced Algebraic Equations.
Before we can actually solve this we need to create a formula that calculates the grade of the last test in order to get an average of 80%. Since he got a 77% average for his first 5 tests, we can multiply 0.77 by 5, add the final test and then divide by the total amount of tests taken. Like so,
[tex]0.80 = \frac{(0.77*5)+x}{6}[/tex]
[tex]0.80 = \frac{3.85+x}{6}[/tex] .... multiply both sides by 6
[tex]4.8 = 3.85+x[/tex] ... subtract both sides by 3.85
[tex]0.95 = x[/tex]
Finally, we can see that Brady needs to earn a 95% on the final test in order to increase his overall average to 80%.
I hope this answered your question. If you have any more questions feel free to ask away at Brainly.
Name two different numbers that round to 30 when rounded to the nearest ten
12(x-17) rewrite the expression without using grouping signals
The minimum height for riding on the Super Screaming Spinner at the theme park is 52 inches. Which of the following expressions shows the height to ride?
A. h < 52
B. h ≤ 52
C. h > 52
D. h ≥ 52
Answer:
D )Expression for height to ride is h ≥ 52
Step-by-step explanation:
Given : The minimum height for riding on the Super Screaming Spinner at the theme park is 52 inches.
To find : Which of the following expressions shows the height to ride.
Solution : We have given that
Minimum height of spinner = 52 inches.
It state that height of spinner for riding at least 52 it mean it must be 52 or greater than 52
Therefore, D )Expression for height to ride is h ≥ 52
Answer: Option 'D' is correct.
Step-by-step explanation:
Since we have given that
The minimum height for riding on the Super Screaming Spinner at the theme park is 52 inches.
So, Let the height to ride be 'h'.
We have mentioned that value of h is must be greater than or equal to 52 inches.
So, it becomes,
[tex]h\geq 52\ inches[/tex]
Hence, Option 'D' is correct.
Solve for x.
6x - 2 = x - 2
--------
4
The 6x - 2 is divided by 4
The ratio of the side length of Square A to the side length of Square B is 4:9. The side length of Square A is 12 yards. What is the perimeter of Square B?
Please help me out with this
What is 5.3 divided by 0.2
5.3 divided by 0.2 is equal to 26.5.
Explanation:To calculate 5.3 divided by 0.2, you can divide the numerator (5.3) by the denominator (0.2). In this case, 5.3 divided by 0.2 is equal to 26.5.
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Which numbers are a distance of 3 units from 12 on the a number line?
A. 3 & -15
B. 15 & 9
C. 0 & -9
D. 3 &12