Answer:
At least 22 hours in a week.
Step-by-step explanation:
Given: Manuela make $15 per hour.
Her employers deduct $125 from her weekly check.
Manuela receives at least $205 in her weekly paycheck.
Lets assume, Manuela working hour in a week be "x".
We know, Total amount on week paycheck= [tex]Hourly\ pay\times number\ of\ hours- Deduction[/tex]
Now, forming an inequality to determine weekly pay of Manuela.
⇒ [tex]15\times x- 125\geq 205[/tex]
⇒[tex]15x-125\geq 205[/tex]
Adding both side by 125
⇒[tex]15x\geq 205+125[/tex]
⇒[tex]15x\geq 330[/tex]
Divinding both side by 15
⇒[tex]x\geq \frac{330}{15}[/tex]
∴[tex]x \geq 22\ hours[/tex]
Hence, Manuela works at least 22 hours per week.
ASAP PLEASE
S = 2πr2 + 2πrh
In the cylinder shown, the radius is 3 inches and the height is 7 inches. Find the surface area of the cylinder. Round your answer to the nearest tenth. A) 89.2 in2 B) 131.9 in2 C) 188.5 in2 D) 197.9 in2
Answer:
C) 188.5 in2
Step-by-step explanation:
The solution is 188.5 in2. To determine the surface area, plug 3 and 7 into the formula.
S = 2π32 + 2π(3)(7) ≈ 188.5 in
Answer:
131.4
Step-by-step explanation:
over three successive Collins build 1/3, 1/5 and 1/4 of the brickwork of his new garage. What fraction must he complete on the fourth and final day
Answer:
1 - 1/3 - 1/4 - 1/5
Step-by-step explanation:
Let's take it one step at a time.
Day 1 he completes 1/3 of the garage, so you subtract 1/3 from 1 which means he left 2/3
Day 2 he completed 1/4 more, so you again subtract, this time though 2/3 - 1/4, or in other words 1 - 1/3 - 1/4
So you do this one more time. 1 - 1/3 - 1/4 - 1/5
Can you handle this or do you need help with fraction subtraction.
What is the square root of the number 10
Answer:
3.16227766017
Step-by-step explanation:
I think so
Subtract. (6x - 3) - (2x -2) What is the answer?
Answer:
Steps. (6x - 3) - (2x -2)= 6x - 3 - 2x + 2. = (6x - 2x) + (-3 + 2) = 4x + (-1 ) 4x - 1 ---> Answer.
!!!!!!!!!!!!!!!!!!!!!!!!!!
Yes, because AB and CD are parallel and GH is perpendicular to CD, AB is perpendicular to GH. So you are right.
Someone pls help me with this
Consider this function for cell duplication where the cells duplicate every minute.
f(x) = 75(2)x
Determine what each parameter in the function represents.
A) The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.
B) The 75 is the initial number of cells, and the 2 indicates that the number of cells increases by 2 every minute.
C) The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells doubles every minute.
D) The 75 is the number of cells at 1 minute, and the 2 indicates that the number of cells increases by 2 every minute.
Answer:
A) The 75 is the initial number of cells, and the 2 indicates that the number of cells doubles every minute.
Step-by-step explanation:
The function for cell duplication where the cells duplicate every minute, is given by [tex]f(x)=75(2)^x[/tex]
The initial number of cells occurs when x=0:
[tex]f(0)=75(2)^0[/tex]
Note that every non-zero number to the exponent of zero is 1.
[tex]\implies f(0)=75(1)=75[/tex]Therefore the initial number of cells is 75
The two is the multiplicative rate of change, therefore the 2 indicates that the number of cells doubles every minute.
Solve square root of -144?
Step-by-step explanation:
[tex] \sqrt{ - 144} = \sqrt{144 \times ( - 1)} \\ = \sqrt{144} \times \sqrt{ - 1} \\ = 12 \times i.. (\because i^2 =-1)\\ = 12i \\ \\ \therefore \: \sqrt{ - 144} = 12i[/tex]
Answer:
[tex]=12*i[/tex]
Step-by-step explanation:
Given: [tex]\sqrt{-144}[/tex]
The square root of some negative value can be find by splitting it in the way given below:
[tex]\sqrt{-144}= \sqrt{144*(-1)}[/tex]
[tex]=\sqrt{144} *\sqrt{-1}[/tex] as,
[tex]\sqrt{144}=12 \\\sqrt{-1}=i[/tex]
[tex]\sqrt{-144}[/tex] [tex]=12*i[/tex]
How do you graph y=2/3x + 5
Answer:
Plot a point at 5 on the y axis then move up 2 spaces and right 3 spaces and plot a point there
Ronald and Tyler met for dinner in downtown Newport. Ronald did flat-rate valet parking for $12. Tyler went to another valet and paid $4 up front and $4 for every hour, including the first hour. Ultimately, the friends ended up paying the same amount. How long did they stay? How much did each one pay?
Answer:
[tex]They\ stayed\ for\ 2\ hours\\\\And\ each\ one\ payed=\$12[/tex]
Step-by-step explanation:
[tex]Let\ both\ spend\ x\ hours[/tex]
Payment by Ronald:
[tex]Ronald\ paid\ \$ 12.[/tex]
Payment by Tyler:
[tex]Tyler\ paid\ $4\ up\ front\ and\ $4\ per\ hour\\\\Total\ amount\ paid\ by\ Tyler=4+4\times number\ of\ hours\\\\Total\ amount\ paid\ by\ Tyler=4+4\times x\\\\Total\ amount\ paid\ by\ Tyler==4+4x[/tex]
[tex]Amount\ paid\ by\ both\ of\ them\ are\ equal\\\\4x+4=12\\\\4x=12-4\\\\4x=8\\\\x=2[/tex]
[tex]They\ stayed\ for\ 2\ hours\\\\And\ each\ one\ payed=\$12[/tex]
9(b ⋅ c) = (9 ⋅ b)c is an example of which algebraic property? Group of answer choices
Answer: Associative Property of Multiplication
It states that a(b*c) is the same as (a*b)*c
Hope this helped!
suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level ,L ,after D days . In how any days will the water level be 26 feet
Equation: L= -0.5D+34.
The water level be 26 feet in 16 days.
Step-by-step explanation:
Let us consider the initial level (x=0) of the water is 34 feet. Then its coordinate point can be written as (0,34).
The water is receding at the rate 0.5 feet per day, which given us the information that 0.5 is the slope since it is the rate of change and it is decreasing so it is a negative slope.
⇒m= -0.5.
The line equation is y = mx+c. Let us rewrite as L= mD+c.
Where L is the level of water(y-axis) and D is the days(x-axis) and c is y-intercept.
⇒L= (-0.5)D+c.
To find y-intercept, substitute (0,34) (the known point from the graph) in the equation. Also, the point in y axis when x=0 is y-intercept.
34= (-0.5)(0)+c.
c=34.
∴L= (-0.5)D+34.
To find the days when the water achieves level as 26 feet:
26 = (-0.5)D+34.
26-34= (-0.5)D.
-8 = (-0.5)D.
D= [tex]\frac{-8}{-0.5}[/tex].
D= 16.
Over what interval is the function in this graph constant?
10
-10+
O
A. -10 SXS-4
O B. -45xs1
C. 65x10
OD. 15x56
Answer:
1 ≤ x ≤ 6 (Answer D)
Step-by-step explanation:
Look for the stretch of graph that is horizontal. The function is constant on that time interval: from 1 to 6, or 1 ≤ x ≤ 6 (Answer D)
Which statement describes the total amount a rewards customer pays for 10 ounces and 12 ounces of yogurt?
A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
A rewards customer pays $5 per ounce because the total amount paid is always increasing.
A rewards customer pays $20 for 10 or 12 ounces of yogurt because the total amount paid is increasing.
A rewards customer earns 5 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
Answer:
A rewards customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
Step-by-step explanation:
Just took the test y'all Trust me the answer is A.
The statement *(A) "A rewards' customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same" is correct,
What is a line graph?A line graph is a graph made up of segments of straight lines that connect the depicted data points.
We have a graph represents the customer pays for 106 ounces and 12 ounces of much a rewards' customer pays based on the number of yogurt.
Based on the graph, we can say a rewards' customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same.
Thus, the statement *(A) "A rewards' customer earns 2 free ounces of yogurt because the total amount paid for 10 ounces and 12 ounces is the same" is correct,
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Can someone please help me with this 7th grade math homework
Answer:
2.19
Step-by-step equation:
Simplify the expression X +3+ 5X
The simplified form of the given expression is 6x+3.
The given expression is x+3+5x.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
The given expression can be simplified as follows
Now, x+3+5x
Add like terms
(x+5x)+3
= 6x+3
Therefore, the simplified form of the given expression is 6x+3.
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What is the slope of the line?
help
Use the red dots as two points in the line.
Slope = change in y over the change in x.
point 1: (-5,4)
Point 2: (5,-2)
Slope = (-2 - 4) / ( 5 - -5)
Slope = -2/10
Slope = -1/5
Answer:
3/-5
Step-by-step explanation:
The formula for the slope of a line is rise over run, rise/run
So from any given two points, you can calculate this.
rise is 3
run is 5, but it would be negative 5 because the slope of the line is negative.
I need some help answering this math question
Answer:
3168 feet / minute
Step-by-step explanation:
What is the difintion of function
a relationship or expression involving one or more variables
which binomial is a factor of 49x^2+84xy+36y^2
7x + 6y is a binomial that is a factor of given equation
Solution:
A binomial is a mathematical expression which has only two terms
Given expression is:
[tex]49x^2 + 84xy + 36y^2[/tex]
We have to find the binomial that is a factor to given expression
Let us find the factors of given equation
[tex]49x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}49x^2+84xy+36y^2\mathrm{\:as\:}\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\mathrm{Rewrite\:}49\mathrm{\:as\:}7^2\\\\7^2x^2+84xy+36y^2\\\\\mathrm{Rewrite\:}36\mathrm{\:as\:}6^2\\\\7^2x^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\7^2x^2=\left(7x\right)^2\\\\Therefore,\\\\\left(7x\right)^2+84xy+6^2y^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^mb^m=\left(ab\right)^m\\\\6^2y^2=\left(6y\right)^2\\\\[/tex]
[tex]Therefore\\\\\left(7x\right)^2+84xy+\left(6y\right)^2\\\\\mathrm{Rewrite\:}84xy\mathrm{\:as\:}2\cdot \:7x\cdot \:6y\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2\\\\[/tex]
[tex]\mathrm{Apply\:Perfect\:Square\:Formula}:\quad \left(a+b\right)^2=a^2+2ab+b^2\\\\a=7x,\:b=6y\\\\Therefore,\\\\\left(7x\right)^2+2\cdot \:7x\cdot \:6y+\left(6y\right)^2 = \left(7x+6y\right)^2[/tex]
Thus we get,
[tex]49x^2 + 84xy + 36y^2 = (7x+6y)^2\\\\49x^2 + 84xy + 36y^2 = (7x+6y)(7x+6y)[/tex]
Thus the binomial which is a factor is 7x + 6y
enice brudley purchased 3,000 shares of GTI petroleum at $6.30 per share. The broker's commission was $19.95 for fewer than 1,000 shares or $0.02 per share for 1,000 or more. What was the cost of the stock? What was the total paid?
Answer:
Step-by-step explanation:
Cost of stock (without the broker's fee) : 3000 * 6.30 = 18,900
Cost of broker's fee: 3000 * 0.02 = $ 60
For a total cost of (18,900 + 60) = $18,960
Answer:
1. Cost of stock = $ 18,900
2. Total paid = $ 18,960
Step-by-step explanation:
1. Let's review the information provided to us to answer the questions correctly:
Number of GTI petroleum shares purchased by Enice = 3,000
Cost per share = $ 6.30
Broker's commission was $19.95 for fewer than 1,000 shares or $0.02 per share for 1,000 or more
2. What was the cost of the stock? What was the total paid?
Let's calculate the cost of the stock, this way:
Cost of stock = 3,000 * 6.30
Cost of stock = $ 18,900
Cost of brokers' commission = 3,000 * 0.02
Cost of brokers' commission = $ 60
Total paid = Cost of stock + Cost of broker's commission
Total paid = 18,900 + 60
Total paid = $ 18,960
The price of an item yesterday was $140. Today, the price fell to $63. Find the percentage decrease
Answer:
The price of an item has dropped to $63 today. Thus, The percentage decreased will be 45%.
Kennedy won $3,000 from a radio contest. If she puts this money in a bank
account that earns 2.9% interest
compounded quarterly, how much total will she earn in 10 years?
$3933.28
$4005.09
$4915.59
$2979.81
Answer:
Step-by-step explanation:
4005.09
The amount that she earned in 10 years is $4,005.09.
Given that,
Kennedy won $3,000 from a radio contest. If she puts this money in a bank account that earns 2.9% interest compounded quarterly.And, the time period is 10 years.
Based on the above information, the calculation is as follows:
[tex]= \$3,000 \times (1+ 2.9\% \div 4)^{10\times 4}[/tex]
= $4,005.09
Here the rate of interest should be divided by 4 and time period should be multiplied by 4.
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How do you round 6275 to the nearest thousand
look at the number next to the thousands place. it's less than 5 so you round it down to the nearest thousand which is 6000.
Plant B is 6 2/3 inches tall. and C is 4 4/15 inches tall. Complete the sentences and show your reasoning
Plant C is (answer) times as tall as plant B
Plant C is (answer) inches (answer) taller or shorter than plant B
Answer:
Step-by-step explanation:
Plant B is taller than Plant C. We need to determine by how much. To do this, we divide 6 2/3 inches by 4 4/15 inches. The LCD is 15, and so we have:
6 10/15 100/15
----------- or ------------- = 100/64 = 20/16 = 5/4
4 4/15 64/15
Plant B is 1 and 1/4 times taller than Plant C. This can be restated as Plant C is four fifths as tall as Plant B.
Plant C is shorter than Plant B, as we saw earlier. The difference is found through subtraction: 100/15 - 64/15 = 36/15 inches = 12/5 inches shorter, or 2 2/5 inches shorter
Plant C is approximately 12 4/5 times as tall as Plant B. Plant C is approximately 2 2/5 inches shorter than Plant B.
Explanation:To find out how many times larger Plant C is compared to Plant B, we need to divide the height of Plant C by the height of Plant B. In this case, Plant C is 4 4/15 inches tall and Plant B is 6 2/3 inches tall.
So, the calculation would look like this:
4 4/15 ÷ 6 2/3
To divide fractions, we need to convert the mixed numbers into improper fractions. So, Plant C is 64/15 inches tall and Plant B is 20/3 inches tall.
Now we can divide the fractions:
64/15 ÷ 20/3 = (64/15) x (3/20)
Cancel out common factors:
64/5 ÷ 1/1 = 64/5 = 12 4/5
Plant C is approximately 12 4/5 times as tall as Plant B.
To find out whether Plant C is taller or shorter than Plant B, we need to subtract their heights. Plant C is 4 4/15 inches tall and Plant B is 6 2/3 inches tall.
So, the calculation would look like this:
4 4/15 - 6 2/3
Again, we need to convert the mixed numbers into improper fractions:
Plant C is 64/15 inches tall and Plant B is 20/3 inches tall.
Now we can subtract the fractions:
64/15 - 20/3 = (64/15) - (20/3
To subtract fractions, we need to have the same denominator. So, we need to find a common denominator for 15 and 3, which is 15.
64/15 - 100/15 = -36/15 = -2 6/15 = -2 2/5
Plant C is approximately 2 2/5 inches shorter than Plant B.
Equation for turning 2.2 into a fraction
Answer: (2.2 × 10)(1 × 10) = 2210.
Step-by-step explanation:Step 2: Multiply both top and bottom by 10 for every number after the decimal point: As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So, 2.21 = (2.2 × 10)(1 × 10) = 2210.
Answer
1/5+ 2
Step-by-step explanation:
.2 equals a fith so when you add that to the whole number the answer will be 2 1/5
1/5 +2 = 2 1/5
2 1/5= 2.2
WILL MARK BRAINLIEST Create a 2-Way Frequency Table. Remember to label the 2 categories, as well as provide data values for each cell.
Please find the attachment on the Frequency table with 2 categories. It is 2X2 2 rows and 2 colums.
Step-by-step explanation:
Two criteria - one location(two categories).Two criteria - nature of occupancy (two categories).Table above is 2X2 table which has 2 rows and two columns.2 Frequency table can also be called as a contingency table.It is the construction of of a table with two attributes or characteristics.They appear independently all the categories or attributes.In the below attachment interest lies in ascertaining whether both.the attributes location and nature of occupancy are independent.What is the equation in standard form of the line that passes through the point 10,-3 and has a slope of 1/5
Answer: [tex]5y - x = -25[/tex]
Step-by-step explanation:
The formula for calculating equation of line when a point and a slope is gives is :
[tex]y - y_{1} = m ( x - x_{1})[/tex]
[tex]x_{1} = 10[/tex]
[tex]y_{1} = -3[/tex]
[tex]m = \frac{1}{5}[/tex]
substituting into the formula , we have
[tex]y - (-3) = \frac{1}{5}(x - 10 )[/tex]
[tex]y + 3 = \frac{1}{5}(x - 10 )[/tex]
multiply through by 5 ,
[tex]5 (y+ 3 ) = x - 10[/tex]
[tex]5y + 15 = x - 10[/tex]
in standard from , we have
[tex]5y - x = -10 - 15[/tex]
[tex]5y - x = -25[/tex]
Step 1: Draw in radii OK and NL. Since OK and JK are radii of the same circle,
they are( FILL IN THE BLANK)
This means that OK = 12. Add the length of OK to the
diagram
Answer:
Equal
Since OK and JK are radii of the same circle, they are equal. This means that OK = 12.
Step-by-step explanation:
Edge 2021
Which symbol makes the following number sentence correct?
4.567 4.576
Answer:
←
Step-by-step explanation:
less than as 4.567 is less than 4.576
The correct symbol to use between 4.567 and 4.576 is '<', since 4.567 is less than 4.576.
Explanation:The question is asking to choose the correct mathematical symbol that makes the given number sentence true. The two numbers are 4.567 and 4.576. In this case, since 4.576 is greater than 4.567, the correct symbol would be less than ('<'). Thus, the correct number sentence is 4.567 < 4.576.
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