Answer:
The variable "x" is the number of square tables and the variable "y" represents the number of round tables.
The committee needs 12 square tables.
Step-by-step explanation:
You know that the equation is 150 = 8*x + 6*y. You also know that 8 people can fit on a square table and 6 people can fit on a round table. Then 8 people multiplied by the amount of square tables plus 6 people by the amount of round tables should add 150 people. So in the previous equation the variable "x" is the number of square tables and the variable "y" represents the number of round tables.
If the number "y" of round tables is 9, you can replace this value in equation 150 = 8*x + 6*y, with 150 = 8*x + 6*9. Solving this last equation, you can calculate the value of the variable "x", that is, calculate the amount of square tables needed.
150= 8*x + 6*9
150= 8*x + 54
150-54= 8*X +54 - 54
96 = 8*x
[tex]\frac{96}{8} =\frac{8}{8} *x[/tex]
12=x
So, the committee needs 12 square tables.
The number of square tables that's needed will be 12 square tables.
The equation given is 150 = 8x + 6y and this represents the number of each type of table that's needed for 150 people.
Since 6 people are already give for the round tables, then to solve the square tables will be:
150 = 8x + 6y
150 = 8x + (6 × 9)
150 = 8x + 54
Collect like terms
8x = 150 - 54
8x = 96
Divide both side by 8
8x/8 = 96/8.
x = 12
Therefore, the number of square table that's needed will be 12 square tables.
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1.Solve for y.
(first picture
y =
2.What is the value of y?
(second picture
y =
What is the repeating decimal 0.242424.... as a fraction in simplest form?
A repeating decimal is a decimal that has reoccurring numbers in a particular sequence.
The fraction in the simplest form is 8/33
The decimal is given as:
[tex]Decimal = 0.242424....[/tex]
The repeating numbers in the decimal are 2 and 4.
So, we express the number as follows (as a fraction)
[tex]Fraction = \frac{24}{100}[/tex]
Subtract 1 from the denominator
[tex]Fraction = \frac{24}{100 -1}[/tex]
[tex]Fraction = \frac{24}{99}[/tex]
Reduce the fraction by dividing the numerator and the denominator by 3
[tex]Fraction = \frac{24/3}{99/3}[/tex]
Simplify
[tex]Fraction = \frac{8}{33}[/tex]
Hence, the fraction is 8/33
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How do I find the value of b
Emelina wrote the equation of a line in point-slope form as shown below.
(y+4)=3(x+2)
What is Emelina’s equation in slope-intercept form?
y = 3x + 2
y = 3x +10
y = 3x – 4
y = 3x – 10
Answer: [tex]y=3x+2[/tex]
Step-by-step explanation:
Given: Emelina wrote the equation of a line in point-slope form as shown below.
[tex](y+4)=3(x+2)[/tex]
To write the equation in intercept form, first we multiply 3 inside the bracket values in the right side , we get
[tex]y+4=3x+6[/tex]
Now, subtract 4 from both sides , we get
[tex]y=3x+2[/tex]
Hence, Emelina’s equation in slope-intercept form : [tex]y=3x+2[/tex]
Answer: A. y = 3x + 2
Step-by-step explanation:Because it matches up the most to the problem. Its A. Have a great day and stay safe <3
The concession stand at a sports arena sells large 3-pints sodas. on an average night four sodas are sold each minute. how many gallons of soda are sold per hour?
write an algebraic expression for the word phrase 40% of x
The algebraic expression for the word phrase 40% of x is 0.40x.
Explanation:The algebraic expression for the word phrase 40% of x is 0.40x. To find 40% of x, you multiply x by 0.40. This means that 40% of x is equal to 0.40 times x.
Final answer:
To write an algebraic expression for the phrase '40% of x', multiply x by 0.40, resulting in the expression 0.40x.
Explanation:
The student is asking to write an algebraic expression for the phrase 40% of x. To convert this phrase into an algebraic expression, we take into account that "of" typically means multiplication in mathematics, and we know that 40% can be written as 0.40. Therefore, the algebraic expression for 40% of x is 0.40 * x or 0.40x.
If the ratio of raisins to bran flakes in a box of raisin bran flakes cereal is 3:27, how many raisins are there in a box that contains 3,000 raisins and bran flakes
Answer:
320?
Step-by-step explanation:
sorry if its wrong edg 2020
If a square has side length s, then the perimeter is less than the area.
s = 3
s = 5
s = 7
s = 9
A square scarf is folded in half to form a rectangle. if the resulting rectangle has a perimeter of 15 inches, what are the area and perimeter of the square scarf?
Eight times the reciprocal of a number equals 4 times the reciprocal of 8. find the number
Now that you have selected the correct unit above, what is the value of x?
Frank’s bookshelf is 1 1/2 meters high. Each row in the bookshelf is 3/16 meters high. How many rows are there in Frank’s bookshelf?
will give brainliest to a reasonable answer :P
a)3
b)6
c)8
d)12
Answer:
8 rows
Step-by-step explanation:
The number of transistors per square inch on an integrated chip doubles every 18 months. this observation is known asâ ________ law.
Find the equation of a line parallel to y - 5x = 10 that passes through the point (3, 10). (answer in slope-intercept form)
solve the equation 12+ 0.35×=20.05
In how many ways can you order 3 red balls and 2 white balls taken from a bin of 5 blue, 7 red, 3 yellow, and 8 white? (balls with the same color are indistinguishable) (233,2)
Answer:
It is 8 since I got it right.
Find the sum of the first 17 terms of the arithmetic sequence 10, 14, 18, 22, 26...
Quick Question. After dividing 30 by 2, do I multiply 15 by 3 or add 3 it to? (for question d) And thanks!
Answer:
6
Step-by-step explanation:
A landscaper builds a square garden behind a house.if the outside border of the garden consist of 36 feet of bricks then what is the area of the garden in square feet?
Part A (4 points): Tonya selected a pair of shoes for the regular price of $80. How much money will she save by using the 20% off coupon? Justify your answer using equations, models, and/or words to explain your mathematical reasoning.
Write y = 3x^2-12x+11 in vertex form. I know the answer, just dont know how to show the work.
The equation in vertex form is given as:
y = a (x - h) ² + k where a, h, and k are constant.
The equation y = 3x² - 12x + 11 in vertex form is y = 3(x - 2)² + 7.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
The equation in vertex form is given as:
y = a (x - h) ² + k where a, h, and k are constant.
We have,
y = 3x² - 12x + 11
3x² - 12x can be written as:
Taking out common value.
3(x² - 4x).
Now,
y = 3(x² - 4x) + 11 _____(A)
x² - 4x can be written as:
Squaring we get,
= x² - 2.2x + 2² - 2²
= (x² - 2.2x + 4) - 4
[ (a - b)² = a² - 2ab + b ]
= (x - 2)² - 4 ________(B)
Now,
From (A) and (B) we get,
y = 3 (x - 2)² - 4 + 11
y = 3(x - 2)² + 7
Thus,
The equation y = 3x² - 12x + 11 in vertex form is y = 3(x - 2)² + 7.
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What is the value of x?
enter your answer in the box
x = [ ]
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
We have been given an image of two right triangles and we asked to find the value of x.
First of all , we will find the length of segment RT using sine.
[tex]\text{Sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}[/tex]
Upon substituting our given values in above formula we will get,
[tex]\text{Sin}(60^{\circ})=\frac{2\sqrt{3}}{RT}[/tex]
[tex]RT=\frac{2\sqrt{3}}{\text{Sin}(60^{\circ})}[/tex]
[tex]RT=\frac{2\sqrt{3}}{\frac{\sqrt{3}}{2}}[/tex]
[tex]RT=\frac{2\sqrt{3}}{\sqrt{3}}\times 2[/tex]
[tex]RT=2\times 2[/tex]
[tex]RT=4[/tex]
Now we know that length of segment RT and angle QRT of triangle QRT, so we will use tangent to find the length of segment QR (x) as:
[tex]\text{tan}=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]
[tex]\text{tan}(45^{\circ})=\frac{x}{4}[/tex]
Multiplying both sides of our equation by 4 we will get,
[tex]\text{tan}(45^{\circ})*4=\frac{x}{4}*4[/tex]
[tex]\text{tan}(45^{\circ})*4=x[/tex]
Substituting [tex]\text{tan}(45^{\circ})=1[/tex] we will get,
[tex]1*4=x[/tex]
[tex]4=x[/tex]
Therefore, the value of x is 4 units.
How do you factor trinomials with a common monomial factor?
It takes a groundskeeper 40 minutes to prepare a little league baseball field for a game. it takes his assistant 50 minutes to prepare the same field. how long will it take if they work together to prepare the field
if two angles of one polygon are equal to two angles of a second polygon then the two polygons are similar
A. always
B. sometimes
c. never
Final answer:
The statement is B. sometimes true. Two polygons are similar if their corresponding angles are equal and their corresponding sides are in proportion. However, it is possible for two polygons to have equal angles and not be similar if their sides are not in proportion.
Explanation:
The statement that if two angles of one polygon are equal to two angles of a second polygon then the two polygons are similar is sometimes true.
Two polygons are similar if their corresponding angles are equal and their corresponding sides are in proportion. Therefore, if two angles of one polygon are equal to two angles of a second polygon, it is possible that the polygons are similar, but it is not always the case.
For example, consider two rectangles. Both rectangles have two pairs of equal angles, but they may not be similar if their sides are not in proportion.
The midpoint of ab is =m, −3−2 . one endpoint is =a, 2−8 . find the coordinates of the other endpoint,
b.
There are two positive numbers. four times the small number plus 3 times the big number is 41. two times the small number plus the big number is 15. what is 10 times the big number minus 6 times the small number;
Final answer:
To find the value of 10 times the big number minus 6 times the small number, we need to solve a system of equations. The solution to the system is x = 2 and y = 11, so the value of 10y - 6x is 98.
Explanation:
To find the value of 10 times the big number minus 6 times the small number, we need to solve the system of equations:
4x + 3y = 41 (equation 1)
2x + y = 15 (equation 2)
We can first solve equation 2 for y by subtracting 2x from both sides: y = 15 - 2x. Now we can substitute this value of y into equation 1:
4x + 3(15 - 2x) = 41
Simplifying, we get: 4x + 45 - 6x = 41
Combining like terms, we have: -2x + 45 = 41
Subtracting 45 from both sides, we get: -2x = -4
Dividing both sides by -2, we get: x = 2
Now we can substitute this value of x back into equation 2 to solve for y:
2(2) + y = 15
Simplifying, we get: 4 + y = 15
Subtracting 4 from both sides, we get: y = 11
Finally, we can calculate 10 times the big number minus 6 times the small number:
10y - 6x = 10(11) - 6(2) = 110 - 12 = 98
Help!!!!!!!!!!!!!!!!!!!!!!!!!
Jack invests $500 at a certain annual interest rate, and he invests another $2000 at an annual rate that is one-half percent higher. if he receives a total of $85 interest in 1 year, at what rate is the $500 invested?
Final answer:
The $500 was invested at an annual interest rate of 3%.
Explanation:
Let's assume the interest rate for the $500 investment is x %. Therefore, the interest rate for the $2000 investment would be (x + 0.5) %, since it is one-half percent higher.
The total interest received is $85. So, we can set up the equation:
$500(x/100) + $2000((x + 0.5)/100) = $85
Simplifying and solving the equation, we get:
5x + 20(x + 0.5) = 85
5x + 20x + 10 = 85
25x = 75
x = 3
The $500 was invested at an annual interest rate of 3%.
james conducted an eperent with 4 possible outcomes he determine that the eperimental probability