The inequality that describe the situation is (22 x 8) + (5 x S) = 200 and with the money left over, the team will be able to buy 4 pairs of socks, and there will be $4 left over.
Inequality:
Inequality means relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Given,
A basketball team raised $200 to purchase new jerseys.
There are 8 people on the team and jerseys cost $22 each.
With the extra money, the team would like to purchase socks at $5 per pair.
Here we need to find the inequality that describes the situation and solve it. And also we need to find the greatest number of pairs of socks the team can purchase.
Let S be the number of Socks they brought.
Based on the given details,
The following inequality must be raised:
=> (22 x 8) + (5 x S) = 200
When we solve it,
=> 176 + 5S = 200
=> 5S = 200 - 176
=> 5S = 24
=> S = 24 / 5
Here the S has the value of 4 and the remaining is 4.
Therefore,
with the money left over, the team will be able to buy 4 pairs of socks, and there will be $ 4 left over.
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A county has 225 acres of vacant land.
Residents voted to turn some of the vacant land
into parks. Now, there are 36% less acres of
vacant land. How many acres of vacant land
does the county have now?
The acres of vacant land that the county have now will be 144 acres.
How to calculate the value?Since 36% has been used, the remaining percentage will be:
= 1 - 36%
= 64%
Therefore, the acres of vacant land that the county has now will be:
= 64% × 225
= 64/100 × 225
= 0.64 × 225
= 144
Therefore, the acres of vacant land that the county have now will be 144 acres.
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A bicyclist is riding on a path modeled by the function f(x) = 0.04(8x - xo), where x and f(x) are measured in miles. find the rate of change of elevation when x = 2.
The rate of change of elevation is 0.32.
What is the rate of change of elevation?An easy-to-remember equation for finding change in elevation as a decimal is “rise over run,” meaning the rise (the change in vertical distance) divided by the run (the change in horizontal distance).
So the problem wants to ask to calculate the rate of change of the elevation if x=2 in the function f(x) = 0.32x. So base on that, the rate of change of elevations can be get through the formula of slope intercept form and the answer would would 0.32 is the rate of change in disregard of the value of x.
Hence, The rate of change of elevation is 0.32.
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FIND THE TERMS AND SUM OF TERMS:
Answer:
The terms are 2, 6 and 12
The sum is 20
Step-by-step explanation:
n n + 1 n(n+1)
-- ------- ---------
1 2 1 x 2 = 2
2 3 2 x 3 = 6
3 4 3 x 4 = 12
The terms are 2, 6 and 12
The sum is 2 + 6 + 12 = 20
What multiplies to 26 and adds to 27
Answer: 1 and 26
Step-by-step explanation:
Work out the area of the rectangle
Answer:
11.2 or 11 1/5
Step-by-step explanation:
multiply it ez
Answer: Use a=wl, 13.3
Step-by-step explanation:
a=wl
4.75*2.8=13.
i am a 5-digit numaeral for five raised to the sixth power.what number am i?
Answer: 99,999
Step-by-step explanation:
Carnegie Learning, Inc.
Victor drew a square with vertices at (1, 2), (3, 2), (3, 4), and (1, 4). He slides the square 5 units
up to create an image. What are the vertices of the image and the algebraic rule?
A (6,2), (8, 2), (8, 4), and (6, 4); (x + 5, y)
B (1,7), (3, 7), (3, 9), and (1, 9); (x, y + 5)
C (1, -3), (3, -3), (3, -1), and (1, -1); (x, y - 5)
D (1,-2), (3,-2), (3, -4), and (1,-4); (x, -y)
Why a is wrong?
And why b is correct
Answer:
B
Step-by-step explanation:
The y coordinate tells us when we are going up for down. So the rule would be (x, y + 5) So, the x coordinate stays the same and the y goes up 5.
(1,2) The 2 is the y coordinate. It will increase by 5 and become (1,7)
(3,2) The 2 is the y coordinate. It will increase by 5 and become (3,7)
(3,4) The 4 is the y coordinate. It will increase by 5 and become (3,9)
(1,4) The 4 is the y coordinate. It will increase by 5 and become (1,9)
A basic slime recipe calls for 1 part borax, 24 parts white glue, and 48 parts water. The relationship between borax, white glue and water is proportional. If Catalina has 3 tablespoons of borax and will use it all, how many cups of white glue will she need
Answer:
I am more on the sure side it's 8
Step-by-step explanation:
And if it isn't im so so sorry
2, 4, 8, 16, 32, 64, ... The number 4,096 belongs to this sequence. What is the number that immediately precedes it?
Need these pleaseeeeee
The following are the weights (in pounds) of seven people:
100, 115, 135, 140, 180, 197, 230.
find the 80th percentile.
The 80th percentile is 125.37.
It is required to find the solution.
What is percentage?A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.
Given:
The weights (in pounds) of seven people:
100, 115, 135, 140, 180, 197, 230.
We have to find the 80th percentile first we have to find the mean of seven people.
Mean=100+ 115+135+140+ 180+197+ 230/7
Mean=156.71
100 percent=156.71
80 percent=156.71*80/100
80 percent=125.37.
Therefore, the 80th percentile is 125.37.
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The cost of bananas varies directly with the number of pounds bought. If 6 pounds
cost $5.22, find the cost of 3 pounds.
Answer:
$2.61
Step-by-step explanation:
So, We have $5.22 for 6 pounds of Bananas.
If we need to find the cost for 3 pounds, we would divide $5.22 by 2 because 6/2=3
In order to do this, we need to turn 5.22 into a whole number, so we multiply by 100
5.22*100=522
Now we divide
522/2 = 261
Now we divide 261 by 100, since we multiplied by 100 earlier.
261/100 =2.61
So our answer is $2.61 for 3 pounds of bananas .
Hope this helps! ^^
Answer:$2.61 for 3 pounds
Thank for the brainliest
Step-by-step explanation:first you divided $5.22/6 because the money always goes on the top and you get 0.87, you multiply 0.87 by 3 which is $2.61
Find the value of y is x = -3
y = 4x² + 2x - 9
which statements are true regarding the sequence below? check all that apply. 10/3,4,24/5,144/25,...
Answer:
A) It can be represented using the formula f(x + 1) = 6/5(f(x)) when f(1) = 10/3.
C) It can be represented using the formula f (x) = 10/3(6/5)/\x-1
What is sequence?
A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
Given:
10/3, 4, 24/5, 144/25, ...
From the above sequence we can generate the formula,
f (x) = 10/3
Also, for f(x+1) we can have
x=1,
f(1)= 10/3
f(2)= 4
So, f(x + 1) = 6/5(f(x))
Step-by-step explanation:
Find the lowest common denominator for the following set of fractions: 4/21, 3/7, 4/9
The lowest common denominator for 4/21, 3/7, 4/9 is 63.
Lowest common denominator is the lowest number that is divisible by the denominators of the set of fractions.
Step 1: we will write down the prime factors of all the denominators.
[tex]21=7^{1} *3^{1}[/tex]
[tex]7=7^{1}[/tex]
[tex]9=3*3=3^{2}[/tex]
Step 2 : write down highest power of each prime number.
[tex]7^{1} ,3^{2}[/tex]
Step 3 : Multiply the values
7x9=63
Therefore , The lowest common denominator for 4/21, 3/7, 4/9 is 63.
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Two boats are traveling in a canal in opposite directions, where x represents the distance, in feet, between the boats. the equation 2(x 1) = 2x 2 models the paths of the boats. solve for x.
Answer: Hi The Answer is 3 (the third one)
Step-by-step explanation: Am not sure if this is correct am taking the test right now
Answer:
all real numbers
Step-by-step explanation:
Florida
Go to school kid and pay attention
Find a and b so that f(x) is continuous for all values of x f(x)={x^2-4/x-2 if x<2 ax^2-bx+3 if 2<=x<3 2x-a+b if x>=3
The values a = 1/3 and b = 1/6.
Given function is, f(x) =
[tex]\frac{x^2-4}{x-2}\ \ \ if\ x < 2 \\ax^2-bx+3 \ \ \ if\ 2\leq x < 3\\2x-a+b\ \ \ if\ x\geq 3[/tex]
The interval in which the function is defined is broke down into three. They are: x<2, 2≤x<3 and x≥3.
Now the function [tex]\frac{x^2-4}{x-2}[/tex] is continuous except at x = 2. But this function is defined in the interval x>2. The other two function are defined as polynomial, so are continuous any way.
So for the whole function f(x) to be continuous, we need to check the continuity at x = 2, x = 3.
When x = 2, [tex]\frac{x^2-4}{x-2}[/tex] =[tex]\frac{(x+2)(x-2)}{x-2}=x+2 = 4[/tex] and [tex]ax^2-bx+3[/tex] = 4a-2b+3
⇒ 4a-2b+3 = 4
⇒4a- 2b-1 = 0, for the function to be continuous at x = 2.
When x = 3, [tex]ax^2-bx+3[/tex] = 9a-3b+3 and 2x-a+b = 6-a+b
⇒ 9a-3b+3 = 6-a+b
⇒ 10a -2b-3 = 0, for the function to be continuous at x = 3.
On solving 4a-2b-1 = 0 and 10a -2b-3 = 0 by subtracting the two,
we get, -6a+2 = 0
⇒ a = 1/3 and therefore, b = 1/6
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N (-5,2) Q (1,-5)
What is the length of QN
The length between the two points is 9.2 units.
Given points are:
Q(1,₋5)
P(₋5,2)
Let the two points be denoted as
Q(1,₋5) as (x₁,y₁)
P(₋5,2) as (x₂,y₂)
Distance between two points is calculated as:
d = √(x₂ ₋ x₁)² ₊ (y₂ ₋ y₁)²
d = √(₋5 ₋ 1)² ₊ (2 ₋ (₋5))²
d = √(₋6)² ₊ (7)²
d = √36 ₊ 49
d = √85
d = 9.2
Hence the length of QN is 9.2 units.
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Using heron's formula the sides of the tringleare 70cm,80cm and 90cm.find its area(use root 5=2.23)
The area of the triangle is 1200√5 cm².
Given that, the sides of the triangle are 70cm,80cm and 90cm.
We need to find the area of a triangle using Heron's formula.
What is Heron's formula?As per Heron's formula, the value of the area of any triangle having lengths, a, b, c, perimeter of the triangle, P, and semi-perimeter of the triangle as 's' is determined using the below-given formula:
Area of triangle = √s(s-a)(s-b)(s-c), where s = Perimeter/2 = (a + b + c)/2
Now, semi perimeter = (70+80+90)/2=120
Area of triangle=√120(120-70)(120-80)(120-90)
=√120×50×40×30
=√40×3×2×25×40×30
=40×5√3×2×3×2×5
=40×5×3×2√5
=1200√5 cm²
Therefore, the area of the triangle is 1200√5 cm².
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give the type of triangle that has these angles
27 degrees
63 degrees
91 degrees
Order 3/8, 3/7, and 3/9 from least to greatest withour writing equivalent fractions with a common denomanator. explain your strategy.
Answer:
3/9 3/8 3/7
Step-by-step explanation:
The higher the denominator, the higher number of times a number will be divided which means, the number will become smaller.
ANSWER PLS PLS PLS PLS PS I NEED HELP WITH THE TEST REACH OU TO ME
Part(A) Leslie's initial investment was $500 and
Part(B) The quarterly interest rate is 10.4 %
What is compound interest?
Compound interest is the interest calculated on the principal amount , which also considers all the accumulated interest of previous periods of deposit or loan.
If P is the principal amount and rate of compound interest is r then after t years of time , the present amount (if the interest is compounded annually) will be = P(1+(r/100))^n
If the interest is compounded quarterly, then the present amount be A
Where A = [tex]P (1+\frac{r/4}{100} )^{4t}[/tex]
Given that Leslie invests in a bank that earns interest quarterly , and account balance after t years is given as 500(1.026)^(4t)
A= [tex]P (1+\frac{r/4}{100} )^{4t} = 500(1.026)^{4t\\[/tex]
Comparing both sides we get P = 500
And 1+(r/400)=1.026
(r/400)=1.026-1
(r/400)=.026
r=400(0.26) = 10.4 %
Therefore , Leslie's initial investment was $500 and the quarterly interest rate is 10.4 %
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3.5 lb of cheese for $8.94
$_
per lb
Answer:
your answer is $2.55
A sample of n = 100 scores has a mean of 5. a second sample has n = 25 scores and m = 7. if the two samples are combined, the sample mean for the combined sample will be __________.
A sample of n = 100 scores has a mean of 5. A second sample has n = 25 scores and m = 7. if the two samples are combined, the sample mean for the combined sample will be 5.4.
We are given the sample mean of n = 100, is 5. Therefore, the sum of 100 observations is 100 x 5 = 500
The sample mean of n = 25, is 7. Therefore, the sum of 25 observations is
25 x 7 = 175
The sum of two samples is 500 + 175 = 675.
And the sum of two sample size is 100 + 25 = 125
Now, the combined mean is:
675125=5.4
What is mean?
A dataset's mean(also known as the arithmetic mean, which differs from the geometric mean) is calculated by dividing the sum of all values by the total number of values. It is frequently referred to as the "average" and is the most widely used measure of central tendency.
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28x-2=100 solve for x
Answer:
3.64
Step-by-step explanation:
collect like terms
divide both sides by x coefficient
Answer:
x=51/14
Step-by-step explanation:
28x-2=100
+2. +2
28x=98
28x/28=102/28
×=51/14
Use the roster method to write the given set the set of integers x that satisfy 2x-1= -13
The only set of elements that satisfied the equation 2x-1= -13 is {-6}.
What is a set?A set is a combination of specific quantities in which the meaning of each variable must be the same.
For example {1,2,3,4,5,6...} is a set of natural numbers in which each variable is representing a natural number so the overall meaning is the same among all.
Another example could be a set of whole numbers like that.
Given the equation,
2x-1= -13
By taking -1 right-hand side
2x = -13 + 1 = -12
By dividing 2
x = -6
Hence "The only set of elements that satisfied the equation 2x-1= -13 is {-6}".
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If 0.25 cm represents 5 feet on a blueprint, what is the actual length of a room that is 8.5 inches long?
In proportion , 13 ft is the actual length of a room.
What in mathematics is a proportion?
A proportion is an equation that sets two ratios at the same value. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)
0.25 inches 8.5 inches
---------------- = --------------
5 ft x ft
Using cross products
0.25x = 8.5 * 5
Divide each side by 0.25
0.25x/0.25 = 8.5 * 5/0.25
x = 13
x = 13 ft
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Solve the systems of equation 4x + y = 10 3x - 2y = 13
The solution to the system of equation is (7/5, 22/5)
System of equationGiven the system of equation as shown below;
4x + y = 10 * 2
3x - 2y = 13 * 1
_____________
8x + 2y = 20
3x - 2y = 13
Subtract
8x - 3x = 20 - 13
5x = 7
x = 7/5
Substitute the value of x into any of the equation
4x + y = 10
4(7/5) + y = 10
28/5 + y = 10
y = 10 - 28/5
y = 22/5
Hence the solution to the system of equation is (7/5, 22/5)
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A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 1700 seats. The students filled 442 of the seats in the theater. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
26%
Step-by-step explanation:
Number of seats by 6th graders / Number of seats in total × 100% = Percentage of seats by 6th graders
442/1700 × 100% = 26%
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