Answer:
\(\boxed{\sf{x < 25}}\)Step-by-step explanation:
To find the value of x, isolate it on one side of the equation.
5>x/5First, you have to switch sides.
→ x/5<5
Then, you multiply by 5 from both sides.
→ 5x/5<5*5
Solve.
Multiply the numbers from left to right.
→ 5*5=25
→ x<25
Therefore, the solution is x<25, which is our answer.I hope this helps you! Let me know if my answer is wrong or not.
Answer:
25 > x
Step-by-step explanation:
\(5 > \frac{x}{5}\)
To find the value of x, you have to multiply both sides by 5.
\(5*5 > \frac{x}{5}* 5\)
\(25 > \frac{5x}{5}\)
\(25 > x\)
Samuel's gross earnings through September 30 were $33, 456. Find the SDI deduction if his gross earnings the next payday of October 15 are $1,858. Use an SDI rate of 1%on the first $31, 800 of income.
Samuel's SDI deduction for the pay period ending October 15 is $684.52.
What is gross income ?
Gross income refers to the total amount of money earned by an individual before any deductions or taxes are taken out. This includes all sources of income, such as wages, salaries, tips, bonuses, and any other forms of compensation received. Gross income is typically used as a starting point to calculate an individual's taxable income, which is the amount of income that is subject to taxation after deductions and exemptions are applied. Gross income is important for determining an individual's financial status and ability to repay loans, as well as for tax planning and reporting purposes.
To find the SDI deduction, we first need to calculate Samuel's taxable income for the pay period ending October 15.
Samuel's gross earnings through September 30 were $33,456. Assuming he is paid twice a month, we can estimate his monthly gross earnings as $33,456 * 2 = $66,912.
For the pay period ending October 15, his gross earnings are $1,858. So his total gross income for the period is $66,912 + $1,858 = $68,770.
To calculate his taxable income, we subtract the SDI exemption amount from his gross income. The SDI exemption amount is based on the first $31,800 of income and is currently $31,800 * 1% = $318. So his taxable income is $68,770 - $318 = $68,452.
The SDI deduction is then calculated as 1% of his taxable income, which is $68,452 * 1% = $684.52.
Therefore, Samuel's SDI deduction for the pay period ending October 15 is $684.52.
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I need to know if the following questions are true or false
Answer:
False
Step-by-step explanation:
To find <A, we can do 5x - 80 = 3x + 20.
As we simplify, we will get 2x = 100, which is x = 50
Therefore, <A will be 50 degrees and not 45 degrees.
Also, if you need y, you can do:
3y - 7 = y + 7
2y = 14
y = 7
compute the sum of the first 40 positive multiples of 3
Answer:
fvhfbevhebeo
Step-by-step explanation:
Answer: 2460
Step-by-step explanation: Used a calculator, and added from 3 x 1, since the answer is the first 40 positive multiples.
Another way is: 3 + 6 + 9 + ... + 120. There are 40 numbers, so 20 pairs of 123. 123 x 20 + 2460 :)
HOPE THIS HELPS <3
Find the value of the algebraic expression for the given values of the variables.
x2 – 3y3 + 4z for x = -1, y = -3, z = 2
Answer:
-1+81+8
Step-by-step explanation:
At the market, 2.4 pounds of peas cost
$1.68. How much does one pound of
peas cost?
$0.7
Step-by-step explanation:Given sentence:
2.4 pounds of peas cost $1.68.Writing as an equation:
\(\implies 2.4 \ \text{pounds} = \$1.68\)
To obtain the cost per pound of peas, divide 2.4 both sides. This will convert the value on the L.H.S to 1 pound. The value obtained on the R.H.S will be the the cost (answer).
\(\implies \dfrac{2.4 \ \text{pounds}}{2.4} = \$\dfrac{1.68}{2.4}\)
\(\implies 1 \ \text{pounds}}= \$\dfrac{1.68}{2.4}\)
\(\implies 1 \ \text{pound} = \$0.7\)
2.
Fit a quadratic function to these three points:
(−2, 8), (0, −4), and (4, 68)
A. y = −2x2 − 2x − 4
B. y = 4x2 + 2x − 4
C. y = −4x2 − 2x − 4
D. y = −2x2 + 2x − 4
Answer:
It's C.
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
just put the x and y values into the equations and see which equation stays true.
for example, point (4, 68) rules out A and C even without detailed calculation, because these 2 expressions can produce for positive x only negative y (and 68 is clearly a positive y).
so, when using this point in B :
68 = 4×4² + 2×4 - 4 = 4×16 + 8 - 4 = 64 + 8 - 4 = 68
correct.
and it is correct also for the other points.
so, B is the right answer.
find the value of x
Therefore, the value of x in the right triangle is 24 cm.
What is triangle?A triangle is a two-dimensional geometric shape that has three straight sides and three angles. It is formed by connecting three non-collinear points. The sum of the interior angles of a triangle is always 180 degrees, and the measure of each angle depends on the lengths of the sides and the type of triangle. There are different types of triangles based on their side and angle measures, such as equilateral, isosceles, scalene, acute, right, and obtuse triangles. Triangles have various properties and formulas that are used in geometry and other fields.
Here,
In a right triangle, the side opposite to the right angle is the longest side and is called the hypotenuse. Therefore, in this case, 25 cm is the hypotenuse of the triangle.
Using the Pythagorean Theorem, we can find the missing length x:
a² + b² = c²
where a and b are the lengths of the legs of the right triangle and c is the length of the hypotenuse.
In this case, a = 7 cm, b = x, and c = 25 cm.
Substituting these values into the Pythagorean Theorem, we get:
7² + x² = 25²
49 + x² = 625
x² = 625 - 49
x² = 576
x = √576
x = 24
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3
Select all the correct answers.
Which three statements are true as they relate to supply and demand?
As supply rises, prices generally decrease.
o As demand decreases, costs generally increase.
As supply decreases, prices increase.
The average rate of change describes how much a quantity changes as price increases.
o As demand rises, the price of the product decreases.
Answer:
A, C, and D
Step-by-step explanation:
Let's analyze each option:
A) As supply rises, prices generally decrease. This is true as supply and demand have an inverse relationship. The supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the right does decrease the equilibrium price (assuming the demand curve doesn't fluctuate).
B) As demand decreases, costs generally increase. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the left only decreases the equilibrium price (assuming the supply curve doesn't fluctuate).
C) As supply decreases, prices increase. This is true because the supply curve has a positive slope, showing that as the quantity supplied increases, the price increases. So, shifting the curve to the left does increase the equilibrium price (assuming the demand curve doesn't fluctuate).
D) The average rate of change describes how much a quantity changes as price increases. This is true because the supply curve measures how much the quantity supplied increases as the price increases, while the demand curve measures how much the quantity demanded increases as the price decreases.
E) As demand rises, the price of the product decreases. This is false because a demand curve shows that as the quantity of demand increases, the price decreases for the product. So, shifting the curve to the right only increases the equilibrium price (assuming the supply curve doesn't fluctuate).
I've attached an example graph to help you visualize all of these factors.
one card is drawn from a pack of 52cards each of the 52 cards being equally likely to be drawn. what is the probability that the card drawn is a king?
The probability of drawing a king from a standard deck of 52 cards is 1/13.
In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.
To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).
The total number of possible outcomes is 52 because there are 52 cards in the deck.
The favorable outcomes, in this case, are the four kings.
Therefore, the probability of drawing a king is given by:
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 4 / 52
= 1 / 13
Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.
This means that out of every 13 cards drawn, on average, one of them will be a king.
It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.
Each draw is independent, and the probability of drawing a king is constant.
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All students in Ridgewood Junior High School either get their lunch in the school cafeteria or brought it from home on Tuesday. 25% of students brought their lunch. 50 students brought their lunch. How many students in total are in Ridgewood Junior High School?
Answer:
125
Step-by-step explanation:
Yavonne has $15.90 in her checking account. She needs to buy items that cost $3.18 each. How many of these items can she buy?
a
4
b
5
c
6
d
7
Answer:
5.
Step-by-step explanation:
15.90 / 3.18 =
You are finding a measure of center in the data sets below using either the mean or the median. In which of the data sets should you find the median? Select all that apply.
A) 68, 73, 77, 75, 23, 62 B) 84, 73, 28, 91, 93, 77 C) 24, 22, 21, 19, 23, 25 D) 18, 13, 56, 21, 12, 19 E) 77, 15, 81, 83, 84, 72
The whole given data sets can have their median calculated after being arranged either in an ascending or descending order. That is option A,B,C,D and E.
What is median of a data set?The median of a data set is defined as the data that is found at the center, otherwise known as the measure of center of a data set, after being arranged in ascending or descending order.
For example the median of option A) is calculated as follows:
Data set= 23,62,68,73,75,77
Median = 68+73/2 = 70.5
Therefore the median is between 68 and 73 which is = 70.5
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Find the midpoint of the segment with the following endpoints.
(2, 2) and (10,8)
Answer:
Step-by-step explanation:
(2+10)/2 = 12/2= 6
(2+8)/2 = 10/2= 5
(6,5)
Henry's dog gets 38,6 grams of protein in each meal. How much protein does the dog get in 8 meals?
Answer: 308.8
Step-by-step explanation: 38.6* 8 = 308.8
Find the absolute Value
-8
Answer:
8
Step-by-step explanation:
8 Because it is 8 jumps on a number line from 0.
Answer:
8
Step-by-step explanation:
The absolute value of a number is always the positive version of that numberSo, the absolute value of -8, is 8I hope this helps!
Help this is really confusing i don’t know how
2) √51 is closest to which whole
number?
After cοmpleting the task, we can state that The whοle number clοsest tο expressiοn 7.141 is 7. Therefοre, √51 is clοsest tο the whοle number 7.
What is whοle number?The whοle numbers are the part οf the number system which includes all the pοsitive integers frοm 0 tο infinity. These numbers exist in the number line. Hence, they are all real numbers. We can say, all the whοle numbers are real numbers, but nοt all the real numbers are whοle numbers.
Thus, we can define whοle numbers as the set οf natural numbers and 0. Integers are the set οf whοle numbers and negative οf natural numbers. Hence, integers include bοth pοsitive and negative numbers including 0. Real numbers are the set οf all these types οf numbers, i.e., natural numbers, whοle numbers, integers and fractiοns.
√51 is apprοximately equal tο 7.141. The whοle number clοsest tο 7.141 is 7.
Therefοre, √51 is clοsest tο the whοle number 7.
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An expression is shown below: 3pf2 − 21p2f + 6pf − 42p2 Part A: Rewrite the expression by factoring out the greatest common factor. (4 points) Part B: Factor the entire expression completely. Show the steps of your work. (6 points)
The expression factoring out the greatest common factor is (3pf - 21p²)(f + 2).
We have the expression as
3pf² - 21p²f + 6pf - 42p²
Now, factorising the expression as
= 3pf² + 6pf - 21p²f - 42p²
= 3pf(f +2) - 21p²(f + 2)
= (3pf - 21p²)(f +2)
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Suppose 40% of the students in a university are baseball players. If a sample of 781 students is selected, what is the probability that the sample proportion of baseball players will be greater than 43%
Answer:
\(P(p>0.43) = 0.0436\)
Step-by-step explanation:
Given
\(p = 40\%\) -- proportion of baseball players
\(n = 781\) --- selected sample
Required
Determine P(p>43%)
First, calculate the z score using:
\(Z = \frac{\^{p}-p}{\sqrt{\frac{p(1-p)}{n}}}\)
This gives:
\(Z = \frac{48\%-40\%}{\sqrt{\frac{40\% *(1 - 40\%)}{781}}}\)
Convert % to decimal
\(Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *(1 - 0.40)}{781}}}\)
\(Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *0.60}{781}}}\)
\(Z = \frac{0.43-0.40}{\sqrt{\frac{0.24}{781}}}\)
\(Z = \frac{0.03}{\sqrt{0.00030729833}}\)
\(Z = \frac{0.03}{0.01752992669}\)
\(Z = 1.71\)
So:
\(P(p>0.43) = P(Z>1.71)\)
\(P(p>0.43) = 1 - P(Z<1.71)\)
\(P(p>0.43) = 1 - 0.9564\)
\(P(p>0.43) = 0.0436\)
i really need help, can someone please help me with this math question
The functions for this problem are defined as follows:
(t + s)(x) = x³ + 5x².(ts)(x) = \(5x^5\)(t - s)(-2) = -28.How to obtain the functions?The functions for this problem are given as follows:
s(x) = 5x².t(x) = x³.The addition and subtraction functions for this problem are given as follows:
(t + s)(x) = x³ + 5x².(t - s)(x) = x³ - 5x².At x = -2, the numeric value of the subtraction function is given as follows:
(t - s)(-2) = -2³ - 5(-2)²
(t - s)(-2) = -28.
The product function for this problem is given as follows:
(ts)(x) = \(5x^5\)
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A doctor prescribe 125 miligrams of a therapeutic drug that decays by about 10% each hour. Write an exponentia lmodel representing the amount A in milligrams of the drug remainng in the patient's system after t hours.
Answer:
\(C(t)=125\cdot 0.9^t\)
Step-by-step explanation:
Exponential Decay Function
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
\(C(t)=C_o\cdot(1-r)^t\)
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The doctor prescribed 125 milligrams of a therapeutic drug. It decays by 10% each hour. The initial value is Co=125 and the decay rate is r=0.1 per hour. Substituting into the function:
\(C(t)=125\cdot(1-0.1)^t\)
Operating:
\(\mathbf{C(t)=125\cdot 0.9^t}\)
Where t is expressed in hours.
Acelus
AABC-AQRS
Find the missing side length, m.
Source
10
А
2
m = [?]
Answer: m=5
Step-by-step explanation:
Because the triangles are similar, AC/QS = AB/QR
Substituting in the given side lengths,
2/4 = m/10
1/2 = m/10 -> m=5
People drive, on average, 11,979 miles per year. About how many miles each week is that?
(Type a whole number or decimal rounded to the nearest tenth as needed)
Answer:
230.4
Step-by-step explanation:
11,979 divided by 52 is 230.365384615.
230.365384615 Rounded gets the answer
The cost of 1 pen and 4 pencils is $2.70. If each pen costs 5 times as much as each pencil, how much do 7 pens and 5 pencils cost?
Answer:
18.00
Step-by-step explanation:
0.45 x 5 = 2.25
2.25 x 7 = 15.75
2.25 + 15.75 = 18.00
Write the equation of a line parallel to y = x -5 that goes through (7,0). Show all work.
The equation of the line parallel to y = x - 5 that goes through the point (7, 0) is y = x - 7.
This line has the same slope as the given line and passes through the specified point.
To find the equation of a line parallel to the given line y = x - 5, we know that parallel lines have the same slope.
The slope of the given line is 1, as it has the coefficient of x.
Therefore, the parallel line we are looking for will also have a slope of 1.
We can use the point-slope form of a linear equation to find the equation of the line.
The point-slope form is given by:
y - y₁ = m(x - x₁)
Where (x₁, y₁) is a point on the line and m is the slope.
We are given the point (7, 0), so we can substitute x₁ = 7 and y₁ = 0 into the equation.
Also, since we want a parallel line with a slope of 1, we have m = 1. Substituting these values, we get:
y - 0 = 1(x - 7)
Simplifying, we have:
y = x - 7.
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carlos made a list of the scores he obtained on 10 test. 43, 72, 75, 86, 91, 91, 91, 95. The teacher will remove the lowest score from the list. which statical measure will increase if the lowest scored is removed?
Answer:
mean
Step-by-step explanation:
The mean will decrease, in an option of mean, mode, median and range:)
factor 4x^2 -6w+2x-12xw
Answer:
2(2x+1)(x-3w)
Fiona is x years old thomas is 3 years older than fiona cara is twice as old as fiona the sum of their ages is 51
The ages of Fiona, Cara and Thomas is 17, 34 and 20 respectively.
What is Equation Modelling?
Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have Fiona who is [x] years old. Thomas is 3 years older than Fiona. Cara is twice as old as Fiona the sum of their ages is 51.
We can write -
Age of Thomas = [y] = x + 3
Age of Cara = [z] = 2x
and
2x + x = 51
3x = 51
x = 17
Age of Thomas = [y] = x + 3 = 20
Age of Cara = [z] = 2x = 34
Therefore, the ages of Fiona, Cara and Thomas is 17, 34 and 20 respectively.
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PLEASE HELP ME ITS ALGEBRA THANK YOUUUUUUU
I need help pleaseeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation: [-2.19] = -3
[3.67] = 3
[-0.83] = -1
The domain of this function is a group of real numbers that are divided into intervals such as [-5, 3), [-4, 2), [-3, 1), [-2, 0) and so on. This explains the domain and range relations of a step function.
This can be generalized as given below:
[x] = -2, -2 ≤ x < -1
[x] = -1, -1 ≤ x < 0
[x] = 0, 0 ≤ x < 1
[x] = 1, 1 ≤ x < 2
Answer:
y = - \(\frac{3}{2}\) x
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 2, 3) and (x₂, y₂ ) = (0, 0) ← 2 points on the line
m = \(\frac{0-3}{0-(-2)}\) = \(\frac{-3}{0+2}\) = - \(\frac{3}{2}\) , then
y = - \(\frac{3}{2}\) x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (0, 0 )
0 = - \(\frac{3}{2}\) (0) + c = 0 + c , so
c = 0
y = - \(\frac{3}{2}\) x + 0 , that is
y = - \(\frac{3}{2}\) x