y ≥ 0 , Zero possible solution.
What is inequality ?
In mathematics, an inequality represents the connection between two values in an imbalanced algebraic statement. A sign of inequality can be used to show that one of the two variables is larger than, greater than or equal to, less than, or equal to another value.
According to question
a represents the number of tables sold and y represents the number of chairs sold
Using a and y as variables, we get
a + y ≤ 18
100y + 400a ≥ 2900
Simplified,
100(y + 4a) ≥ 2900
y + 4a ≤ 29
Given the minimum number of tables that need to be sold, we evaluate using a = 10
y + 4(10) ≥ 29
y ≥ -11
y represents the number of chairs sold
therefore, y ≥ 0
Since we can't purchase -11 chair, we round up our result giving us y ≥ 0
Now
the store must sell a minimum of 10 tables and tables for $400 each
then
10*400 = $4000
which is more than worth of chairs and tables $2900
hence Zero possible solution.
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Solve the inequality.
$-12
A map of an amusement park is shown on the coordinate plane with the approximate location of several rides.
Determine the distance between the Trolley Train and the Silly Slide.
25 units
7 units
5 units
3 units
The distance between the Trolley Train and the Silly Slide is 5 units. The 3rd option is the answer
How to determine the distance between the Trolley Train and the Silly Slide?From the map, the coordinate of the Trolley Train is (-2, -6) and the coordinate of the Silly Slide is (2, -3)
The formula for finding the distance between the two points is given as:
d=√(x₂ – x₁)² + (y₂ – y₁))²).
where
x₁ = -2,
y₁ = -6 (Trolley Train)
x₂ = 2
y₂ = -3 (Silly Slide)
d = √((2 – (-2))² + (-3 – (-6))²)
d = √((4)² + (3)²)
d = √25
d = 5 units
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Consider the function
What is
f(x) = -2/3x + 5.
ƒ ( − 1/2 )
?
Answer:
Step-by-step explanation:
0
Answer:
f(1/2) = 5 1/3
Step-by-step explanation
All you need to do is replace each x in the function with -1/2, and you have your answer!
Hope this helps :)
Find the sum of the finite arithmetic sequence.
Sum of the first 80 positive odd integers
Answer:
6400
Step-by-step explanation:
We have 1 + 3 + 5 + ... + 155 + 157 + 159.
We can use Gauss's strategy.
Since we are adding 80 numbers, there are 40 pairs. Each pair adds up to 1 + 159 = 160. (Notice that 3 + 157, 5 + 155 = 160)
Thus, because there are 40 pairs and each pair adds up to 160, we have 160 * 40 = 6400.
I hope this helps!
Jeremy spent a total of $79.16 on a shirt and one pair of jeans. He knows the jeans cost $49.95 but he does not know the cost of the shirt, s. He created the model shown to find the cost of the shirt.
The model to show the cost of the shirt is x+49.95=79.16. Therefore, the cost of shirt is $29.21.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Jeremy spent a total of $79.16 on a shirt and one pair of jeans.
Let the cost of shirt be x.
The jeans cost is $49.95
Now, the cost of shirt + the cost of jeans = Total cost
⇒ x+49.95=79.16
⇒ x=79.16-49.95
⇒ x=$29.21
Therefore, the cost of shirt is $29.21.
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in 12 years a man will be twice as old as he was 12 years ago . find his present age
His present age is 36 years.
Let his present age = x
Given,
2(x − 12) = x +12
2x - 24 = x + 12
2x - x = 12 + 24
x = 36
Therefore, his present age is 36 years.
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A rectangle park had two walking pathe as shown if PS=115m and PR=216m, find the length of QT
Answer:
QT = 108 m
Step-by-step explanation:
the diagonals of a rectangle are congruent and bisect each other, so
QS = PR = 216 , then
QT = [tex]\frac{1}{2}[/tex] QS = [tex]\frac{1}{2}[/tex] × 216 = 108 m
Answer: 108
Step-by-step explanation:
diagonals of a rectangle are equal in length
∴ PR = QS = 216
Diagonals of a rectangle bisect each other
=> QT = QS = [tex]\frac{QS}{2} \\= > \frac{216}{2}\\ = 108[/tex]
If you vertically compress the absolute value parent function, F(x) = |x|, by multiplying by 3/4, what is the equation of the new function?
A. G(x) = | 3/4 x |
B. G(x) = |x| - 3/4
C. G(x) = 3/4 |x|
D. G(x) = | x + 3/4 |
Answer:G(x) = 3/4 |x|, nevertheless that is the same that G(x) = |3/4x|.
Step-by-step explanation:
Note that given that 3/4 is less than 1 the original function is compressed.
- Take care <3
Can you please give me the answer you don’t have to solve all but please!!!!!!
Answer: Reduction: 1/3
Step-by-step explanation:
Remember that if you are dilating it to be larger, it will be a whole number. If it is less than one, then it is dilating to be smaller.
Answer: Reduction 1/3.
Step-by-step explanation: When a shape is transformed into a smaller version of the original, it's a reduction. Reductions are less than 1 so the answer I provided above is what you're looking for.
Have a great day! :)
[140,166,132,165,152,168,181,158,173,180,182,163,177,180,142,147,149,178]
Answer: Mode: 180
Quartiles:
Q1 --> 149
Q2 --> 165.5
Q3 --> 178
Mean: 162.944....
Median: 165.5
Step-by-step explanation:
PLEASE HELLPPPP
The White Chuck Glacier is in the Cascade Range of western North America. In 1958 it covered 3.1 km?.
By 2002 it had lost about 70% of its area. What was the area of the glacier in 2002? Show your thinking.
Answer:
0.93 km
Step-by-step explanation:
The White Chuck Glacier lost 70% of its area between 1958 and 2002, which means that its area was reduced by 70/100 = <<70/100=0.7>>0.7.
Since the glacier-covered 3.1 km. in 1958, its area was reduced by 0.7 * 3.1 km? = <<0.7*3.1=2.17>>2.17 km.
Therefore, the area of the White Chuck Glacier in 2002 was 3.1 km. - 2.17 km? = <<3.1-2.17=0.93>>0.93 km.
what is the probability that a randomly selected group of 5 females have a mean shoe size bigger than 10.5
The probability that a randomly selected group of 5 females has a mean shoe bigger than 10.5 is 2.1.
What is probability?Probability is the likelihood that something will occur. When we don't know how an event will turn out, we might discuss the likelihood or likelihood of several outcomes. Statistics is the study of occurrences that follow a probability distribution.
Calculation:Mean = 10.5 and Total no. of females = 5 = random variable
Now, the Probability that a randomly selected group of 5 females have a mean shoe size bigger than 10.5:
P(x > 10.5)
Z = ( x- μ )
= (σ / [tex]\sqrt{n}[/tex])
= 10.5 / 5
= 2.1
The probability that a randomly selected group of 5 females has a mean shoe bigger than 10.5 is 2.1.
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Help me aspp please before 11:59 pm
the correlation between cost and distance is 0.791. describe the relationship between cost of damage and distance from the nearest fire station.
According to the question,
Given data,
The correlation between cost and distance is 0.791.
The farther the house is from a first station, the higher cost of damage tends to be.
the correlation between cost and distance
The largest single cost of liver transplantation is the cost of organ acquisition, with the variable portion of that amount being associated travel costs. We assessed the proportion of donors using ground, air, and jet transport and compared the transport costs of these three types of transport and their impact on organ procurement costs for transplant centers.
How is correlation measured?
The sample correlation coefficient r quantifies the strength of the relationship. Correlations are also tested for statistical significance.
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There are 30 students in Mrs. Woodward's class and 1/5 of the class has their own cell phone. Of the students that have cell phones, 1/2 of them are allowed to use social media. How many of the students have a cell phone and can use social media?
Answer: 3 people
Step-by-step explanation:
1/5 of 30 will give us the number of students.
6
1/2 of 6, will give us the number of people who can use social media.
3 people.
Match each theorem with its description.
(3) Isosceles triangle Theorem
(8) Same side Interior angle Theorem
(2) Triangle sum Theorem
(1) Vertical angle Theorem
(7) Alternate exterior angle Theorem
(5)Corresponding angle Postulate
(6)Alternate exterior angle Theorem
(4) Triangle midsegment Theorem
What is isosceles triangle?
An isosceles triangle in geometry is a triangle with two equal-length sides. It can be stated as having exactly two equal-length sides or at least two equal-length sides, with the latter definition containing the equilateral triangle as an exception.
Isosceles triangle Theorem: A triangle's opposite angles are also congruent if its two sides are.
Same side Interior angle Theorem:
The same side interior angles are additional when two parallel lines are cut by a transversal.
Triangle sum Theorem:
According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.
Vertical angle Theorem:
When two straight lines collide, two sets of linear pairs with identical angles are created.
Alternate exterior angle Theorem:
The alternate interior angles or alternate exterior angles that emerge from cutting two parallel lines by a transversal are congruent.
Corresponding angle Postulate:
The related angles are equivalent if a transversal cuts two parallel lines.
Alternate exterior angle Theorem:
The alternate interior angles or alternate exterior angles that emerge from cutting two parallel lines by a transversal are congruent.
Triangle midsegment Theorem:
The section connecting a triangle's two sides at their midpoints is parallel to and only half as long as the third side.
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Solve
e + 0.05 = 9.21
Answer: e = 9.16
Step-by-step explanation: Although it's not necessary, I would first get rid of the decimals by multiplying both sides of the equation by 100.
That gives is 100e + 5 = 921 which has no decimals.
Now just subtract 5 from each side to get 100e = 916 and
dividing both sides by 100 from here, e = 9.16.
pls help
write the equation that gives the proportional relationship of the graph
a. y=7x
b.y=35x
c.y=5x
d.y=1/7x
Answer:
y=7x
Step-by-step explanation:
The instructions for a fashion design project require three different cuts of silk The
longest piece must be twice the length of the middle-sized piece, and the shortest
piece must be ten inches shorter than the middle sized piece. The total length of the
piece of silk you are given to work with is 70 inches. How long should each of the
three cut pieces be?
The three cut pieces should be 10 inches, 20 inches, and 40 inches for the shortest, middle-sized and longest respectively
How to determine how long should each of the three cut pieces be?This is a word problem. We need to understand the sentence in order to translate it correctly.
To find the length of each of the three cut pieces, we can use the given information to set up a system of equations.
Let L, M and S be the length of the longest, middle-sized and shortest piece respectively
So we can set up the following equation:
L = 2M
S = M-10
L + M + S = 70
2M + M + (M - 10) + = 70
We can combine like terms to get:
4M - 10 = 70
4M = 80
We can divide both sides by 4 to get:
M = 20
Therefore, the length of the middle-sized piece is 20 inches.
Since L = 2M
L = 2 × 20 inches = 40 inches.
Since S = M - 10
S = 20 - 10 = 10 inches.
Therefore, the three cut pieces should be 10 inches, 20 inches, and 40 inches for the shortest, middle-sized and longest respectively
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make g the subject of 3e+4g=7+9eg
Answer:
the answer is g = (7 - 3e) / (4 - 9e)
Step-by-step explanation:
The subject of an equation is the value or values being solved for. An equation typically consists of two parts: an expression on the left side of an equal sign and an expression on the right side of the equal sign.
The given equation subject of equation is 3e + 4g = 7 + 9eg
Subtraction of 9eg from both sides of the equation
3e + 4g - 9eg = 7 + 9eg - 9eg
3e + 4g - 9eg = 7
Subtract 3e on both sides of the equation
3e + 4g - 9eg - 3e = 7 - 3e
4g - 9eg = 7 - 3e
Factorize g on left side of the equation,
g (4 - 9e) = 7 - 3e
Then divide (4 - 9e) on both sides of the equation,
g = (7 - 3e) / (4 - 9e)
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Which expression is equivalent to −6(b − 7)? −6b − 42 −6b + 42 −6b − 7 6b + 7
The expression that is equivalent to −6(b − 7) is: B. -6b + 42.
How to Find Equivalent Expressions?Expressions that are equivalent to each other will give the same value when simplified and solved in their simplest forms.
Simply put, two expressions will be equivalent if they have the same number of terms or they will give the same quantity when you plug in the values of all the variables that are given in the expressions.
Given the expression, -6(b - 7), the steps below shows how we can simplify to determine the expression that is equivalent to it
-6(b - 7) [given]
Open the parentheses by using the distributive property of equality, which involves multiplying each of the terms within the parentheses by the term outside of the parentheses:
-6(b) -6(-7) [distributive property]
-6b + 42
-6b + 42 is the equivalent expression of -6(b - 7).
Thus, the answer is: B. -6b + 42.
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each student at william elementary can only participate in one fall activity. there are 65 students on the football team and twice that number in band. there are 61 students on each of the two soccer teams. how many students participate in fall activities
Answer:191
Step-by-step explanation:
65x2=130
130+61=191
Eva bought seven and one-half pounds of chocolate chips. She used three and three-fourths pounds in some cookies and two and five-sixths pounds in some muffins. How many pounds of chocolate chips were left?
A three-twelfths pounds
B eleven-twelfths pounds
C one and two-twelfths pounds
D one and seven-twelfths pounds
Answer:
B
Step-by-step explanation:
[tex]7\frac{1}{2} - 3\frac{3}{4} - 2\frac{5}{6} \\= \frac{15}{2} - \frac{15}{4} - \frac{17}{6} \\(common denominate is 12)\\=\frac{90}{12} -\frac{45}{12} -\frac{34}{12} \\\\=\frac{11}{12}[/tex]
12.10p +5.25
11.75p+7.50
Is this no solution
Answer:
I can't see a solution from what you have given us
Chang and Carlotta solve this problem in two different ways.
You have $50 in your bank account.
You make $8 per hour mowing lawns.
How many hours must you mow lawns to have a total of $130 in your account?
Use the drop-down menus to complete the sentences below.
What are variables ?
There are certain things in real life that never change, like your birthday. However, other factors, such as temperature, age, height, etc., change with place and time. These amounts might be referred to as variables because they are changeable.
A symbol (often a letter) used in mathematics to represent an unknowable numerical value in an equation or algebraic statement. A variable can be defined as a quantity that is changeable and not fixed. Variables are crucial since they make up a significant portion of algebra.
Typically, "x" and "y" are used to denote unknowable integers. However, it is not required; any letter will do.
If I have $50 in my bank account and i have to make it $130 by mowing a lawn that means i need to earn on $80 by mowing the lawn
($130 - $50 =$80)
I can earn $8 per hour by mowing the lawn which means in only need to work for 10 hours to earn $80 ($8 per hour x 10 hours= $80 )
Chang and Carlotta method use different operations to simplify the expression in same order
Chang's method uses variable but Carlotta doesn't
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10. Open-Ended Complete the addends so you need to regroup to add. Then find the sum. 4, _ 37 + 1,28_
The addends 4, _ 37 + 1,28_ is completed so there will be need to regroup to add.
the addends. 4, 837 + 1,287
the sum is 6124
What is regrouping?Regrouping refers to rearranging numbers into groups according to place value to assist kids in handling greater numbers.
When performing operations like addition and subtraction on two-digit integers or bigger, regrouping is the process of forming groups of tens. Regrouping refers to the process of performing an operation by rearranging groups in place value.
Using regrouping for the addition problem
addend 4 8 3 7
addend 1 2 8 7
sum 4
1 regrouped to tens column
addend 4 8 3 7
addend 1 2 8 7
sum 2 4
1 regrouped to hundreds column
addend 4 8 3 7
addend 1 2 8 7
sum 1 2 4
1 regrouped to thousands column
addend 4 8 3 7
addend 1 2 8 7
sum 6 1 2 4
the sum is 6124
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find f(20) if f(x)=[tex]\frac{1}{4}x+5[/tex]
Answer:
f(20) = 10
Step-by-step explanation:
9. Solve for x.
12x + 3
11x +9
a. x = 9
b. x = 12
C. X = 6
d. x = 23
In a school Auditorium, there are three types of rows arrangement
possible for watching programs: rows of 20 students per row, or rows
of 25 students ver row, or rows of 40 students per row. Find the least
number of students required for any one of these arrangements so
that all the students can be accommodated in each of these
arrangements.
I think
it should be 200 as it's the first common multiple of 20 40 and 25
The r in the simple interest formula stands for rate which best describes how to use rate in formula
The best option is to Convert it to a decimal and multiply is the best way to describe rate in simple interest formula. The correct option is A.
What is simple Interest?Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principal, and the number of days between payments are multiplied to calculate simple interest.
Simple Interest (S.I.) is a method for figuring out how much interest will accrue on a specific principal sum of money at a certain rate of interest. For instance, if someone borrows Rs. 5000 at a rate of 10 p.a. for two years, they will pay S.I. on the borrowed money for those two years.
Therefore, if you are a borrower, the interest rate is the sum you pay for borrowing money and is expressed as a percentage of the overall loan amount. The correct option is A.
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