Answer: 10%
Step-by-step explanation: If there is a total of 20 volleyball players, but only 2 were counselors so, you have to divide 2 into 20 which would be .10 .
Solve the system:
2/x - 3/y =-5; 4/x + 6\y =14
The solution is [tex]x = 2 \text{ and } y = \frac{1}{2}[/tex]
Solution:
Let us assume,
[tex]a = \frac{1}{x}\\\\b = \frac{1}{y}[/tex]
Given system of equations are:
[tex]\frac{2}{x} - \frac{3}{y} = -5[/tex]
[tex]\frac{4}{x} + \frac{6}{y} = 14[/tex]
Rewrite the equation using "a" and "b"
2a - 3b = -5 ------------ eqn 1
4a + 6b = 14 -------------- eqn 2
Let us solve eqn 1 and eqn 2
Multiply eqn 1 by 2
2(2a - 3b = -5)
4a - 6b = -10 ------------- eqn 3
Add eqn 2 and eqn 3
4a + 6b = 14
4a - 6b = -10
( - ) --------------------
8a = 4
[tex]a = \frac{4}{8}\\\\a = \frac{1}{2}[/tex]
Substitute a = 1/2 in eqn 1
[tex]2(\frac{1}{2}) -3b = -5\\\\1 - 3b = -5\\\\3b = 6\\\\b = 2[/tex]
Now let us go back to our assumed values
Substitute a = 1/2 in assumed values
[tex]a = \frac{1}{x}\\\\\frac{1}{2} = \frac{1}{x}\\\\x = 2[/tex]
Substitute b = 2 in assumed value
[tex]b = \frac{1}{y}\\\\2 = \frac{1}{y}\\\\y = \frac{1}{2}[/tex]
Thus the solution is [tex]x = 2 \text{ and } y = \frac{1}{2}[/tex]
The actual length of a soccer field is 500 feet. A broken measuring instrument shows the length to be 493 feet. Find the percent error for the length of the soccer field.
Answer:
Percent error for the length of the soccer field is 1.4 %
Step-by-step explanation:
The actual length of the soccer field = 500 ft
The measured length of he field = 493 ft
ERROR in the measurement = ACTUAL LENGTH - MEASURED LENGTH
= 500 ft - 493 ft = 7 ft
So, there is an error of 7 ft in measuring the length of the field.
[tex]\textrm{ERROR PERCENTAGE} = \frac{\textrm{Error}}{\textrm{Actual Measuement}} \times 100\\= \frac{7}{500} \times 100 = 1.4[/tex]
Hence, percent error for the length of the soccer field is 1.4 %
The percent error for the length of the soccer field is 1.4%.
We are asked to find the percent error for the length of a soccer field when the actual length is 500 feet, but a broken measuring instrument shows it to be 493 feet.
Calculating percent error:
Find the absolute difference: |493 - 500| = 7 feet.
Calculate percent error: (7/500) x 100%
Percent error = 1.4%.
What are the values of x and y?
Answer:
[tex]x=70^o[/tex]
[tex]y=110^o[/tex]
Step-by-step explanation:
we know that
In a parallelogram, opposite angles are congruent and consecutive angles are supplementary
In this problem the quadrilateral ABCD is a parallelogram
so
[tex]x=70^o[/tex] -----> by opposite angles in a parallelogram
[tex]x+y=180^o[/tex] ---> by consecutive angles in a parallelogram
substitute the value of x
[tex]70^o+y=180^o[/tex]
[tex]y=180^o-70^o=110^o[/tex]
$12 for 6 bagels; $9 for 24 bagels.
Answer:
What is the question that you are asking?
Step-by-step explanation:
PLEASE HELP ASAP :>
John deposited $13 in his bank account on Monday. Then, on Friday he withdrew $15. How much money is in John's bank account now?
$2
$28
-$28
-$2
Answer:
-2
Step-by-step explanation:
Answer:
-2 is 100% correct !
Step-by-step explanation:
How can we re-write the expression below into “friendlier” terms? 6 ∙ 29
options:
6 ∙ (30 - 1)
6 ∙ (16 + 13)
6 ∙ (19 + 10)
6 ∙ (21 + 8)
Option A: 6 ∙ (30 - 1)
Solution:
Given expression is 6 · 29.
Friendlier term means a number can be expressed using other numbers which are closest to the number.
Option A: 6 ∙ (30 - 1)
30 is closest to 29, so which is the friendlier term to 29.
6 · 29 = 6 ∙ (30 - 1)
Option B: 6 ∙ (16 + 13)
16 and 13 are not closest to 29, which are not the friendlier terms.
Option C: 6 ∙ (19 + 10)
19 and 10 are not closest to 29, which are not the friendlier terms.
Option D: 6 ∙ (21 + 8)
21 and 8 are not closest to 29, which are not the friendlier terms.
Hence Option A: 6 ∙ (30 - 1) is the correct answer.
what is 0.15151515151 as a fraction
Final answer:
The decimal 0.15151515151 can be written as the simplified fraction 5/33.
Explanation:
To express the decimal number 0.15151515151 as a fraction, we can observe the repeating pattern. The 15 sequence repeats indefinitely, so we can represent it as 15/99. Finally, we simplify the fraction by dividing both the numerator and denominator by their greatest common divisor, which in this case is 3. Therefore, the decimal 0.15151515151 can be written as the simplified fraction 5/33.
Recognizing the recurring pattern in the decimal as 0.15(15), we express it as a fraction, obtaining 15/99. Simplifying the fraction by dividing both numerator and denominator by their greatest common divisor, which is 3, yields the final result: 5/33. This process highlights the conversion of repeating decimals to fractions.
Find an equation of the line passing through the point ( 6 , − 4 ) (6,-4) and perpendicular to 9 x − 3 y = 9 9x-3y=9 . Write your answer in slope-intercept form.
Answer:
[tex]y =-\frac{1}{3}-2[/tex]
Step-by-step explanation:
We are given;
A point (6, -4)An equation of a line, 9x - 3y = 9We are required to determine the equation a line passing through a point (6, -4) and perpendicular to the given line;
To answer the question we need to get the gradient of the given line first.We write the equation 9x - 3y = 9 in the form of y = mx + c, where m is the slope;That is;y = 3x -3
Thus, the slope of the line is 3But; m₁ × m₂ = -1 (For perpendicular lines)
Therefore;
m₂ = -1 ÷ 3
= -1/3
Therefore, the slope of the line in question is -1/3 and the line passes through (6, -4).
To get its equation, we get another point (x, y)
Then;
[tex]\frac{y+4}{x-6}=\frac{-1}{3}[/tex]
Thus;
[tex]3(y+4) = -1(x-6)\\3y + 12 = -x+6[/tex]
In the form of slope-intercept, the equation will be;
[tex]3y = -x - 6\\y =-\frac{1}{3}-2[/tex]
Thus, the equation of the line is;
[tex]y =-\frac{1}{3}-2[/tex]
The Garcia family wants to paint their house. They have found a painter who will pain
their house for $25 per hour, plus the cost of the paint. They need 10 cans of paint whic
cost $15 per can. Write an equation which can be used to find c, the cost of painting the
house in terms of h, the amount of hours the painter paints?
AC = 25h +150
e c = 25h +15
C<= 150h + 25
D C = 25h +10
Answer:
If the painter will paint for $25 per hour, then the amount of dollars for h number of hours is $25h , if the cost of paint is $15 per can, 10 cans will be $150. The cost C of painting the house is
C= 25h +150
The amount of hours the painter paints is make h the subject of the formula
h= (C - 150)/25
The equation to find the cost of painting the house in terms of the hours worked by the painter is C = 25h + 150
Explanation:The equation that can be used to find the cost of painting the house in terms of the amount of hours the painter paints is C = 25h + 150. This equation represents the cost of the labor ($25 per hour) plus the cost of the paint (10 cans at $15 per can, which equals $150). The variable h represents the number of hours the painter works.
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What is the answer for the equation 8(2x+9)=56
STEPS:
1. Start my distributing the 8 through the parentheses on the left side of the equation. 8 times 2x is 16x and 8 times 9 is 72. So we have 16x + 72 = 56.
2. Next, isolate the x-term by adding 72 to both sides of the equation
and we get 16x = -16.
3. Divide both sides by 16 and x = -1.
What is the formula for the volume of a cylinder
Answer:
V=πr2h
Step-by-step explanation:
Answer:
V=πr2h
That's the formula for the volume of a cylinder
The Carter family just left the local pet store with Rex, their new family dog. The pet store owner told the Carter family that for the next 6 months, Rex would grow at an average rate of 9 pounds per month. Currently, Rex is 2 months old and weighs 6 pounds.
Age, in months 2 3 4 5 6 7 8
Weight, in pounds 6
Part A: Complete the given table that represents Rex’s current weight, in pounds, as a function of his age, in months
Part B: Graph the data in the table from Part A. Be sure to label the graph and all data points.
Part C: Create a linear model that represents the Rex’s current weight, in pounds, as a function of his age, in months.
Part D: If Rex continues to grow at the rate of 9 pounds per month beyond the expected six months, how much will Rex weight by the time he is one year old?
Answer:
A.)
In 2 months, Rex is 6 pounds and in 8 months he's 9lbs (from 2 to 8 is 6 months). So I inferred that to get to 9lbs from 6lbs is to go 0.5 pounds more each month.
B.)
2 = 6
3 = 6.5
4 = 7
5 = 7.5
6 = 8
7 = 8.5
8 = 9
C.) I don't think I can create a linear model here. So I don't think its nessesary.
D.)
If Rex were to grow over the expected 6 months, it would be 45.
Lisa’s pet shop has 2 fish tanks. Tank A contains smaller fish who are fed 1 gram of food each per day. Tank B contains larger fish who are fed 2 grams of food each per day. If tank B contains 2/3 (fraction) the number fo fish thank Tank A contains, will Lisa ever feed both tanks the same amount of food?
Answer:
No, lisa will not be able to feed both the tanks same amount of food.
Step-by-step explanation:
No, lisa will never be able to feed both tanks the same amount of food.Let tank A contains x number of fish then according to the information given Tank B contains 2/3x number of fishLisa feds 1 gm of food in tank A that means Lisa feds 2 gm of food in tank B that means we have to tell whether lisa will ever feed both tanks the same amount it will be possible if which is not possibleTherefore, lisa will not be able to feed both the tanks same amount of food.
What is the value of x?
(3x - 14)
X
[4(X-9)
Enter your answer in the box.
Answer:
12x^2 - 164x + 504
Step-by-step explanation:
(3x-14)(4(x-9)) equals this, as I used an algebra calculator.
In Tampa, Florida the sun shines about 66% of the year about how many days does the sun shine in Tampa
Answer: 241 days a year
Step-by-step explanation: 365*0.66=240.9 and then you round up to 241
The total number of days in a year the sun shines in Tampa will be equal to 241 days.
What is the Percentage?The Latin term "per centum," which signifies "by the hundredth," was the source of the English word "percentage." Segments with a denominator of 100 are considered percentages. In other terms, it is a relationship where the worth of the entire is always considered to be 100.
As per the instructions given in the question,
The total number of days in a year is 365 days.
Then, 66% of the total number of days in a year will be,
365 × 66/100 = 240.9 or,
The number of days of sunshine will be 241 days after rounding up the value.
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Which pair of adjacent angles is complementary?
Answer:
Option C
Step-by-step explanation:
we know that
If two angles are complementary, then their sum is equal to 90 degrees
In this problem we have
Option C
One angle measure 35 degrees and the other angle measure 55 degrees (90-35=55)
so
[tex]35^o+55^o=90^o[/tex]
therefore
The pair of angles are complementary
Answer:
C.)
Step-by-step explanation:
Arman, Babken, and Cecilia decided to compete in a 100m run. When Arman crossed the finish line, Babken was 10m behind him. When Babken crossed the finish line, Cecilia was 10m behind him. How far was Cecilia behind Arman when he crossed the finish line?
Answer:
19 meters
Step-by-step explanation:
When Arman finished, Babken is 10 meters behind. So, Babken has 10 meters left.
Ex: Babken has 10 meters left, Cecilia is 9 meters behind.
So, the answer is 10+9=19.
19 meters.
Cecilia's position is 19 m behind when Arman is at the finish line.
Arman, Babken, and Cecilia 3 decided to compete in a 100m run.
What is the distance?Distance is defined as the difference in position.
Here,
Cecilia covers 90% of Babken's covered distance. Babken Covered 90% of Arman distance. So distance covered by Cecilia is.
= 90/100 * 90/100 x 100
= 81m
Now, distance between Cecilia and Arman when he crossed the finish line,
= 100m-81m
=19m
Thus, Cecilia's position is 19 m behind when Arman is at the finish line.
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1/2 times 6 minus y equals y
Answer:
I believe the answer to this question is: 3/2 simplified to 1 1/2.
The cost, C, in dollars, of playing g games at an arcade game
center is modeled by the linear function C = 0.5g + 2.
Determine the rate of change of the function and explain
what this value means in terms of the context.
Determine the initial value of the function and explain what
this value means in terms of the context.
The rate of change is 0.5 which means that each game cost .50 cents
The initial value is 2 which means that you must initially pay $2.00
The rate of change of the function C = 0.5g + 2 is 0.5, indicating a cost increase of $0.50 per game. The initial value is 2, representing the fixed entry fee at the arcade.
Explanation:The rate of change of the function C = 0.5g + 2, which represents the cost, C, in dollars, of playing g games at an arcade game center, is the coefficient of g, whic h is 0.5. Thisvalue means that for each additional game played, the cost increases by $0.50. The initial value of the function is the constant term, which is 2. This represents the starting fee or fixed cost at the arcade game center before any games are played.
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What is the area of this shape
The given shapes area is found to be 132 square feet.
Step-by-step explanation:
Step 1; To determine the area of an indefinite shape we must divide it into the shapes that we know. The shape that is given can be split into a rectangle with a triangle on top of it.
Step 2; To determine the area occupied by a different shape, we must sum the areas of the triangle and the rectangle. The given rectangle measures a length of 11 feet and a width of 9 feet. The area of any given rectangle is the multiplication of its length and width. Area of Rectangle = Length * Width = 11 feet * 9 feet = 99 square feet.
Any given triangles area is half the multiplication of its base value and its height value. In the given diagram, the base of the triangle measures a length of 11 feet (same as the rectangle's length) and the length from base to top is 6 feet (Entire shape's height which is 15 feet - the calculated value of the rectangle's width which is 9).
Area of Triangle = [tex]\frac{1}{2}[/tex]* base * height = [tex]\frac{1}{2}[/tex] * 11 feet * 6 feet = 33 square feet.
Step 3; To find the total area of the shape we must add the areas of the rectangle and the triangle.
Area of given shape = Area of rectangle + Area of Triangle
Area of given shape = 99 square feet + 33 square feet = 132 square feet.
prince is 6n years old. jordan is (3n + 10) years older than prince
a) find jordans age
b) find the total age of prince and jordan
c) kimberly is 9 yrs younger than prince. find kimberlys age
d) find the total age of three people
e) if n = 4 find the total age of the three people
Ascending Order
18, 1.8, 18, .018
Answer:
.018, 1.8, 18, 18
Step-by-step explanation:
ascending means going from smallest to largest, so you order the numbers from smallest to largest
Answer:
018, 1.8, 18, 18
Step-by-step explanation:
Four muffins cost $12. Complete the modle to find the cost per muffins
Answer:
3$
Step-by-step explanation:
12÷4=3
each muffin cost 3$
What’s the fraction of 65% in its simplest form
Answer:
13/20
Step-by-step explanation:
65%=65/100
65/100=13/20
#13 Kayla is 4 years
younger than her sister.
Write an algebraic
expression that represents
the situation.
Step-by-step explanation:
Let us suppose that her sister age is x,we have given that Kayla is 4 years younger than her sister .
this the age of Kayla would be 4 less than x,
So the algebraic expressions is :
x - 4. ans.- 1/3 square root-90
Answer: [tex]-i\sqrt{10}[/tex]
Step-by-step explanation:
Assuming that you need to simplify the expression, below is the explanation to do it.
Given the following expression:
[tex]-\frac{1}{3}\sqrt{-90}[/tex]
You need to decompose the radicand (The number inside the square root) into its prime factors:
[tex]90=2*3*3*5=2*3^2*5[/tex]
Knowing that, you can rewrite the expression in this form:
[tex]=-\frac{(1)(\sqrt{-2*3^2*5})}{3}=-\frac{\sqrt{-2*3^2*5}}{3}[/tex]
Since [tex]\sqrt{-1}=i[/tex], you must substitute it into the expression:
[tex]=-\frac{i\sqrt{2*3^2*5}}{3}[/tex]
Now you need to remember the following property:
[tex]\sqrt[n]{a^n}=a^{\frac{n}{n}}=a[/tex]
Then, applying that property, you get:i:
[tex]=-\frac{3i\sqrt{2*5}}{3}=-\frac{3i\sqrt{10}}{3}[/tex]
Finally, you must divide the numerator and the denominator by 3. So, you get:
[tex]=-\frac{i\sqrt{10}}{1}=-i\sqrt{10}[/tex]
40x+24y-56.
Get to factor the expression
The factored form of given expression is:
[tex]40x + 24y - 56 = 8(5x + 3y-7)[/tex]
Solution:
Given that we have to factor the given expression
Given expression is:
40x + 24y - 56
We can factor the expression by taking the greatest common factor out
When we find all the factors of two or more numbers, and some factors are the same , then the largest of those common factors is the Greatest Common Factor.
Find G.C.F of 40, 24 and 56
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40
The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
Then the greatest common factor is 8
Thus factor out 8 from given expression
[tex]40x + 24y - 56 = 8(5x + 3y-7)[/tex]
Thus the given expression is factored
PLS HELP!!!!!
What is the value of tanC in this triangle
A)24/25
B)7/24
C)7/25
D)24/7
Answer:
d. 24/7 i belive
Step-by-step explanation:
Final answer:
To find the value of tanC in the triangle, calculate the angles A, B, and C using the cosine rule and understanding the relationship between these angles.
Explanation:
The value of tanC in the triangle can be calculated using the given information.
Calculate angle A using the cosine rule: 16 = 25 + 36.Calculate angle C by the cosine rule: 36 = 16 + 25. Since cos(2A) = 2cos²(A) - 1, it implies that C = 2A.The external angle at B is 3A.what is the sum of two numbers is 40 and their difference is 10
Answer:
The two numbers are 25 and 15.
Step-by-step explanation:
Let's find out the two numbers, this way:
x = first number
y = second number
This is the equations system:
x + y = 40
x - y = 10
Solving for x in the first equation:
x + y = 40
x = 40 - y
Solving for y in the second equation:
40 - y - y = 10
40 - 2y = 10
-2y = 10 - 40
-2y = - 30
y = -30/-2 = 15
Solving for x:
x + y = 40
x + 15 = 40
x = 40 - 15
x = 25
The two numbers are 25 and 15.
jess walked for 45 min at 3km/h and then ran for half an hour at xkm/h. at the end of the time she was 6 km from starting point. find the x value?
Hey there! :)
~ They give us some good information in this equation. Let's use it! This can be used to change "45 min" into ".75 hours".
~ Now, let's write an equation; "distance = speed * time."
~ 3(.75) + .5x = 6
~ 2.25 + .5x = 6
~ .5x = 6 - 2.25
~ .5x = 3.75
~ x = 3.75/.5
~ x = 7.5 km/hr
Final answer:
To find Jess's running speed, the total distances she walked and ran are calculated and added to equal the given total distance of 6 km. Solving the equation 6 km = 2.25 km + 0.5x km reveals that Jess ran at 7.5 km/h.
Explanation:
To find the value of x, which represents Jess's running speed, we can use the information provided to set up equations based on the distance formula: distance = speed × time.
Jess walked for 45 minutes at 3 km/h. First, convert 45 minutes to hours by dividing by 60: 45 minutes / 60 minutes/hour = 0.75 hours. The distance walked is:
Distance walked = Speed × Time = 3 km/h × 0.75 hours = 2.25 km.
Next, Jess ran for 30 minutes or 0.5 hours at x km/h. The running distance is:
Distance ran = Speed × Time = x km/h × 0.5 hours = 0.5x km.
According to the question, the total distance from the starting point after both activities is 6 km, so:
Total distance = Distance walked + Distance ran
6 km = 2.25 km + 0.5x km
Now, solve for x:
6 km - 2.25 km = 0.5x
3.75 km = 0.5x
x = 3.75 km / 0.5
x = 7.5 km/h
Therefore, Jess ran at 7.5 km/h.