Answer: [tex]\$687[/tex]
Step-by-step explanation:
Given
Working hours are [tex]7\ \frac{1}{2}[/tex] for 8 days
Money earned is $11.50 an hour
Total working hours
[tex]=\dfrac{7\times 2+1}{2}\times 8=\dfrac{15}{2}\times 8\\\\=60\ hr[/tex]
Money earned
[tex]=60\times 11.50=\$690[/tex]
After-tax deduction
[tex]\Rightarrow 690-3=\$687[/tex]
Answer:
Step-by-step explanation:
Find the value of x.
9514 1404 393
Answer:
x = 20
Step-by-step explanation:
The external angle at V is half the difference of the subtended arcs:
(65° -25°)/2 = x° = 40°/2
x = 20
draw a line representing the "rise" and a line representing the "run" of the line. state the slope of the line in the simplest form.
Answer:
-2x
Step-by-step explanation:
Rise over run,
This line goes up 4 (It goes up so it's positive).
and it goes to the left -2 times (Since it's left it's negative).
Slope: 4/-2 or -2/1 which is -2x
Al resolver la suma de ¾ + 5/4 obtenemos como resultado
Answer:
2
Step-by-step explanation:
3/4+5/4=8/4=2
The density of an object is equal to the quotient of its mass, and volume. An object has a density of 10g per liter and a volume of 40 liters. What is its mass in grams.
Answer:
400 grams
Step-by-step explanation:
If the equation is density = mass / volume, fill it out to find mass
10 = x / 40
400 = x
x = 400 g
(x+ 7)(x -8) = 0 then
___ OR ___
OR Solving: x = x =
NOT MULTIPLE CHOICE
Answer:
if this is factoring i wanna say
x= -7
x= 8
but i could be wrong this is a trick 1
Step-by-step explanation:
Solve ∣3x−2∣+4=0. Write your smaller answer first.
Answer:
wrong
Step-by-step explanation:
What is the speed of a car that traveled a
total of 300 kilometers north in 2 hours?
Speed = Distance/Time
So, speed
= 300 km/2h
= 150km/h
= (150 × 1000m) / 3600s
= 150000m/3600s
= 41.66m/s [approximately]
PLEASE HELP I WILL GIVE BRAINIEST. What is the Median?
Answer:
DA MIDDLE LINE. 6
Which set of ordered pairs is included in this relation?
A {(-5, 4), (-3, 2), (2, -1), (3, 0)}
B {(-4, 1), (-2, -5), (1, -2), (5, 2)}
C {(-3, -2), (0, 3), (1, -2), (4, 1)]
D {(-2,-5), (-1, 4), (2, -1), (3, 0)}
Solve this quadratic equation
Answer:
https://www.symbolab.com/solver/step-by-step/x%5E%7B2%7D%20%2B5x%2B3%3D0
Step-by-step explanation:
Answer:
[tex]x = \frac{-5\pm\sqrt{13}}{2}[/tex]
Step-by-step explanation:
Hello!
We can solve the quadratic by using the Quadratic Formula.
Standard form of a Quadratic: [tex]ax^2 + bx +c= 0[/tex]
Quadratic Formula: [tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex]
Given our equation: [tex]x^2+5x+3 = 0[/tex]
a = 1b = 5c = 3Plug it into the formula and solve:
[tex]x = \frac{-b\pm\sqrt{b^2 - 4ac}}{2a}[/tex][tex]x = \frac{-5\pm\sqrt{5^2 - 4(1)(3)}}{2(1)}[/tex][tex]x = \frac{-5\pm\sqrt{25-12}}{2}[/tex][tex]x = \frac{-5\pm\sqrt{13}}{2}[/tex]This cannot be simplified further. The answer is [tex]x = \frac{-5\pm\sqrt{13}}{2}[/tex].
Paisley has $540 to spend at a bicycle store for some new gear and biking outfits.
Assume all prices listed include tax.
She buys a new bicycle for $446.60.
• She buys 3 bicycle reflectors for $4.09 each and a pair of bike gloves for $35.82.
• She plans to spend some or all of the money she has left to buy new biking outfits
for $72.82 each.
Which inequality can be used to determine x, the maximum number of outfits Paisley
can purchase while staying within her budget?
O 540 < 494.69% + 72.82
72.82x + 494.69 > 540
Submit Answer
72.82x + 494.69 < 540
540 > 494.69x + 72.82
The inequality that can be used to determine the maximum budget that can be spent on outfits is 72.82x + 494.69 < 540.
The first step is to determine the total cost of the items bought.
Cost of the bicycle = $446.60.
Cost of the 3 bicycle reflectors = $4.09 x 3 = $12.27
Cost of the bike gloves = $35.82
Total cost = $494.69
The amount left that can be spent on the new biking outfits = $540 - $494.69 = $45.31
The amount of money left is not sufficient to buy the new biking outfits.
To learn more about inequality, please check: https://brainly.com/question/5031619
find x to the nearest 10th help pls
Answer:
5.9
Step-by-step explanation:
If a1=7and an=-2an1 then find the value of a5
Answer:
wonderful
Step-by-step explanation:
a5= A1=7 an=2an1
an16
Find the length of the third side. If necessary, write in simplest radical form.
(screenshot provided)
no links please ;')
Answer:
the length of the third side (the hypotenuse) is 7
Step-by-step explanation:
Solve this by using the Pythagorean Theorem:
(2√10)² + 3² = (hypotenuse)²
Then (hypotenuse) = √(40 + 9) = √49 = 7
Answer:
7
Step-by-step explanation:
2 root 10 ^2 is 40
3 squared is 9
root of 49
Look at the graph shown below the blue line represents an _______ of the graph
Given:
The graph of a function and a blue line.
To find:
The correct name for the blue line.
Solution:
Domain: It is the set of inputs. These are the x-values for which the function is defined.
Range: It is the set of outputs. These are the y-values for the function.
Asymptote: The function approaches to a line as x approaches to -∞ or ∞ but not intersect the line, then the line is known as asymptote.
y-intercept: It is the intersection point of the function and the y-axis.
From the given graph it is clear that the function approaches to the blue line as x approaches to -∞ but not intersect the blue line.
So, the blue line is an asymptote of the function.
Look at the graph shown below the blue line represents an asymptote of the graph.
The area of a square playground (in square feet) can be represented by x2 - 30x + 225. How many feet is the perimeter of the playground if x = 25?
Answer:
40
Step-by-step explanation:
Substitute 25 for x
[tex] {25}^{2} - 30(25) + 225 = 100[/tex]
100 is the area of the square so that means
10 is the side length of each side of the square.
Multiply 4 by 10 to get the perimeter.
[tex]4 \times 10 = 40[/tex]
What is the measure of each angle if x = 13?
A. 42°, 38°
B. 527, 26°
C 429, 269
D. 527, 38°
The measures of two angles are 4x° and (2x + 12) °
Write a system of equations to describe the situation below, solve using any method, and Fill in the blanks.
Natalie is a salon owner. Yesterday, she did 3 haircuts and colored the hair of 1 client,
charging a total of $239. Today, she did 2 haircuts and colored the hair of 1 client, charging a
total of $192. How much does Natalie charge for her services?
Natalie charges $___
for a haircut and $__
for a coloring
Answer:
1 haircut = 47 dollars
1 colouring = 98 dollars
Step-by-step explanation:
Let [tex]x[/tex] be equal to the cost of 1 haircut.
Let [tex]y[/tex] be equal to the cost of 1 colouring treatment.
1) Form equations
Equation 1: 3 haircuts + 1 colour = 239 dollars
⇒ [tex]3x+y=239[/tex]
Equation 2: 2 haircuts + 1 colour = 192 dollars
⇒ [tex]2x+y=192[/tex]
2) Solve the system of equations
Subtract equation 2 from equation 1 to cancel out y (elimination)
- [tex]3x+y=239\\2x+y=192[/tex]
⇒ [tex]3x-2x+y-y=239-192\\x=47[/tex]
Therefore, Natalie charges 47 dollars for 1 haircut.
Plug x back into one of the equations to solve for y
[tex]2(47)+y=192\\94+y=192[/tex]
Subtract both sides by 94
[tex]94+y-94=192-94\\y=98[/tex]
Therefore, Natalie charges 98 dollars for 1 colouring treatment.
I hope this helps!
PLEASE HELP ASAP
Find the surface area and the volume of the cone:
*Hint: Remember that 10 is the slant height, not the cone height. Use Pythagorean Theorem to find
height.
Answer:
surface area= 301.6
volume=301.6 again Imao I'm not sure how right that is
Is this correct???
I’m really worried this is a test worth 100 points?? Pls help if I made a mistake!!???
Answer:
There's supposed to be nothing in the 7 and 8 columns
Step-by-step explanation:
You were good, but there aren't any in the 7 or 8 columns, making 9 an outlier.
hope this helps:)
13
Bennie is 7 years older than Ayesha.
Chloe is twice as old as Bennie.
The sum of their three ages is 57.
dersk
Work out the ages of Ayesha, Bennie and Chloe.
The function N(t) = 100e^−0.023t models the number of grams in a sample of cesium-137 that remain after t years. On which interval is the sample's average rate of decay the fastest?
Options:
A. [1,10] B. [10,20] C. [15,25] D. [1,30]
Answer:
A. [1,10]
Step-by-step explanation:
Given
[tex]N(t) = 100e^{-0.023t}[/tex]
Required
Interval with the fastest rate of decay
The rate of change over [a,b] is calculated as:
[tex]Rate = \frac{N(b) - N(a)}{b - a}[/tex]
So, we have:
A. [1,10]
[tex]Rate = \frac{N(10)-N(1)}{10 - 1}[/tex]
[tex]Rate = \frac{N(10)-N(1)}{9}[/tex]
Calculate N(10) and N(1)
[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]
[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]
So:
[tex]Rate = \frac{79.45-97.73}{9} = \frac{-18.28}{9} = -2.03[/tex]
B. [10,20]
[tex]Rate = \frac{N(20)-N(10)}{20 - 10}[/tex]
[tex]Rate = \frac{N(20)-N(10)}{10}[/tex]
Calculate N(20) and N(10)
[tex]N(20) = 100e^{-0.023*20} = 100e^{-0.46} = 63.13[/tex]
[tex]N(10) = 100e^{-0.023*10} = 100e^{-0.23} = 79.45[/tex]
So:
[tex]Rate = \frac{63.13 - 79.45}{10} = \frac{-16.32}{10} = -1.632[/tex]
C. [15,25]
[tex]Rate = \frac{N(25)-N(15)}{25 - 15}[/tex]
[tex]Rate = \frac{N(25)-N(15)}{20}[/tex]
Calculate N(25) and N(15)
[tex]N(25) = 100e^{-0.023*25} = 100e^{-0.575} = 56.27[/tex]
[tex]N(15) = 100e^{-0.023*15} = 100e^{-0.345} = 70.82[/tex]
So:
[tex]Rate = \frac{56.27 - 70.82}{10} = \frac{-14.55}{10} = -1.455[/tex]
D. [1,30]
[tex]Rate = \frac{N(30)-N(1)}{30 - 1}[/tex]
[tex]Rate = \frac{N(30)-N(1)}{29}[/tex]
Calculate N(30) and N(1)
[tex]N(30) = 100e^{-0.023*30} = 100e^{-0.69} = 50.16[/tex]
[tex]N(1) = 100e^{-0.023*1} = 100e^{-0.023} = 97.73[/tex]
So:
[tex]Rate = \frac{50.16 - 97.73}{29} = \frac{-47.57}{29} = -1.64[/tex]
By comparing the values of the calculated rates,
-2.03 is the smallest, in other words; the fastest rate
Hence, the interval [1,10] has the fastest rate of decay
The required average rate of change is the fastest on [tex][1,10][/tex].
The average rate of change :The formula for the average rate of change on the interval [tex][a,b][/tex] is,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{b-a}[/tex]
Now, applying the given function into the above function is,
Now, [tex]a=1,b=10[/tex] then,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{10-1} =-2.03[/tex]
Now, [tex]a=10,b=20[/tex] then,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{20-10} =-1.6325[/tex]
Now, [tex]a=15,b=25[/tex] then,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{25-15} =-1.455[/tex]
Now, [tex]a=1,b=30[/tex] then,
[tex]\frac{100e^{-0.023b}-100e^{-0.023b}}{30-1} =-1.64[/tex]
So the average rate of change is fastest on [tex][1,10][/tex]
Learn more about the topic of the average rate of change:
https://brainly.com/question/20884505
Emma bought a sweater at the sale price of $50. The original cost of the sweater was $80. What percent represents the discount that Emma received when buying the sweater?
Answer:
The percentage represented is 37.5%
Solve the system of equations. 2y-y=5 and 3x+2y=4
Answer:
Step-by-step explanation:
Answer:
y=5 x=-2
Step-by-step explanation:
what is the surface area?
Answer:
264
Step-by-step explanation:
Area= 1/2•b•h
=2(1/2)(b)(h)+3(b)(h)
=2(1/2)(6)(4)+3(16)(5)
=264
What is the cost of 1 pound of grapes?
Justin has scored 27, 20, and 26 points in his three basketball games so far. How many points does he need to score in his next game so that his average (mean) is 25 points per game? points
Answer:
27
Step-by-step explanation:
The answer is 27, since the mean of 20, 26, 27, 27 is 27. I hope you enjoy. Take care
What is the value of x in this equation?
8x + 40 = 180
Answer:
17.5
Step-by-step explanation:
180 = 40+ 8x
140 = 8x
17.5 = x
Answer:
17.5 is the correct answer to the question
Step-by-step explanation:
8x+40=180
8x=180-40
8x=140
X=140/8
X=17.5
The Vatican has to be guarded 24 hours a day. Fifteen Swiss Guards are ordered to split each day's guard duty equally. How long will each Swiss Guard spend on guard duty in one day? Record your answer in hours and minutes.
Answer: Each Swiss Guard will spend 1 hour 36 minutes on guard duty in one day.
Step-by-step explanation:
Given: The Vatican has to be guarded 24 hours a day.
Total Swiss Guards = 15
If they split each day's guard duty equally, the time they will spend on guard duty in one day = (24)÷ 15
= [tex]\dfrac{24}{15}[/tex] hours
[tex]=\dfrac85[/tex] hours
[tex]=1\dfrac35[/tex] hours
= [tex]\text{1 hour }\dfrac35\times60\text{ minutes}[/tex]
= [tex]\text{ 1 hour }36\text{ minutes}[/tex]
Hence, each Swiss Guard will spend 1 hour 36 minutes on guard duty in one day.
Solve the system of equations.
x+2y=0
6y= - 3x
Answer:
Infinitely Many Solutions.
Step-by-step explanation:
x+2y=0
6y=-3x
y=-3/6x
y=-1/2x
x+2(-1/2x)=0
x-2/2x=0
x-x=0
0=0
infinitely many solutions