Answer: .20x+1.00
Step-by-step explanation:
Jim is paid for overtime when he works more than 40 hours per week.Enter an expression for the number of hours he works overtime when he works h hours.
Answer:
Overtime hours = [h - 40] hours
Step-by-step explanation:
Given:
Weekly hour work = 40 hours per week
Total hour work = h hours
Find:
Overtime hours
Computation:
Overtime hours = Total hour work - Weekly hour work
Overtime hours = [h - 40] hours
r=35.7+1.37t The equation above relates the urbanization rate r, as a percent, in a particular country to the number of years t since 2000. Which of the following statements best describes the relationship between the years since 2000 and the urbanization rate? A It is linear because the urbanization rate increases by 35.7 each year. B It is linear because the urbanization rate increases by 1.37 each year. C It is exponential because the urbanization rate increases by 37% each year. D It is exponential because the urbanization rate increases by a factor of 35.7 each year.
Answer: 37.07
because 35.7+1.37 is 37.07
What is the slope?? Hdhdhfucufuchchdbdbdvrvrvdbshshd
Answer:
-2/3
Step-by-step explanation:
To find the slope, pick two points on the line, and use the slope formula
( 0,50) and (30,30)
m = ( y2-y1)/(x2-x1)
= (30-50)/(30-0)
= -20/30
= -2/3
Answer:
m = -2/3
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Step 1: Find 2 coordinates
(0, 50)
(60, 10)
Step 2: Plug into formula
m = (10 - 50)/(60 - 0)
m = -40/60
m = -4/6
m = -2/3
a bottle filled with weighs 42 pounds If the water by itself weighs 11 times as much as the bottle, what is the weight of the bottle
Answer:
462 pounds
Step-by-step explanation:
weighs 42 pounds
and the water 11 times more
so, 42*11 = 462 pounds
Simplify the algebraic expression -2(x - 3) + 4(-2 x + 8)
*Plz explain your answer*
-10x+38
Let's simplify step-by-step.
- 2(x – 3) +40-2r + 8)
Distribute:
= (-2)(x) + (-2)(-3) + (4)(-2x) + (4)(8)
= -2x + 6+ - 8x + 32
Combine Like Terms:
= -2x + 6 + - 8x + 32
= (-2x + - 8x) + (6 + 32)
-10x + 38
The simplified form of the algebraic expression -2(x-3)+4(-2x+8) is -10x+38.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given algebraic expression -2(x-3)+4(-2x+8), when simplified it can be written as,
[tex]-2(x -3) + 4(-2 x + 8)\\\\=-2x +6-8x+32\\\\=-10x+38[/tex]
Hence, the simplified form of the algebraic expression -2(x-3)+4(-2x+8) is -10x+38.
Learn more about Expression:
https://brainly.com/question/13947055
3(y+6)+5(2–4y)
Combining like terms
Answer:
[tex]28-17y[/tex]
Step-by-step explanation:
[tex]3(y+6)+5(2-4y)[/tex]
Expanding:
[tex]3y+18+10-20y[/tex]
[tex]28-17y[/tex]
Answer:
-17y+18
Step-by-step explanation:
[tex]3(y+6)+5(2-4y)\\= (3*y + 3*6) + (5*2 - 5*4y)\\= 3y + 18 + 10 - 20y\\= -20y + 3y +18 +10\\=-17y+28[/tex]
Find the sum of first 20 terms of the arithmetic series in which 3rd term is 7 and 7th term is 2 more than three times its 3rd term.
Answer:
740
Step-by-step explanation:
Let the AP be a, a+d, a+2d, a+3d, ...
The term of AP is given by:
[tex]t n =a+(n-1)d[/tex]
We are given that the third term is 7.
[tex]t 3=7[/tex]
⇒ [tex]a+(3-1)d=7[/tex]
⇒[tex]a+2d=7 ---(1)[/tex]
Also, the seventh term is 2 more than three times the third term.
[tex]t7=3t3+2[/tex]
⇒[tex]a+ (7-1)d=3(a+(3-1)d)+2[/tex]
⇒[tex]a+6d=3(a+2d)+2[/tex]
⇒[tex]a+6d=3a+6d+2[/tex]
⇒[tex]-2a=2[/tex]
⇒[tex]a=-1[/tex]
We can put it in (1)
[tex]a+2d=7[/tex]
⇒[tex](-1)+2d=7[/tex]
⇒[tex]2d=8[/tex]
⇒d=4
Now, the Sum of n terms of an AP is given by the formula:
[tex]sn=\frac{n}{2}(2a+(n-1)d)[/tex]
So, Sum of first 20 terms would be:
[tex]s 20=\frac{20}{2}(2(-1) +(20-1) x 4)[/tex]
⇒[tex]s20=10(-2+19 x 4)[/tex]
⇒[tex]s 20=10 x(-2+76)[/tex]
⇒[tex]s 20= 10 x 74[/tex]
⇒[tex]s 20=740[/tex]
Thus, The Sum of first 20 terms of the AP is 740.
23) The Dinner Plate
7.G.B.4
A dinner plate has a
diameter of approximately
13 inches. What is the
circumference of the
dinner plate? What is the
area of the dinner plate?
Use 3.14 for pi. Draw a
picture of a dinner plate
and label the dimensions
(radius and diameter).
Write the circumference
and area on your drawing.
Answer:
circumference is 40.84 and the area is 132.73
Step-by-step explanation:
Make t the subject of the formula 2(d – t) = 4t + 7
Step-by-step explanation:
2(d-t)=4t +7
open the bracket
2d - 2t =4t +7
collect like terms
2d-7=4t +2t
2d-7=6t
divide both sides by 6
2d-t/6=6t/6
T=2d-t/6
Answer:
t = (2d-7)/6
Step-by-step explanation:
2(d – t) = 4t + 7
Distribute
2d-2t=4t+7
Add 2t to each side
2d-2t+2t=4t+2t+7
2d = 6t+7
Subtract 7 from each side
2d-7 = 6t
Divide by 6
(2d-7)/6 = t
6x(2)y +8xy(2) - 10x(2)y - 15xy + 9xy(2) simplify
Answer:
-4x²y + 17xy² - 15xy
Step-by-step explanation:
Step 1: Write out expression
6x²y + 8xy² - 10x²y - 15xy + 9xy²
Step 2: Combine like terms (x²y)
-4x²y + 8xy² - 15xy + 9xy²
Step 3: Combine like terms (xy²)
-4x²y + 17xy² - 15xy
Write an expression to represent a circle's area in terms of its diameter, d .
Answer:
(d/2)^2 pi
Step-by-step explanation:
To find the area of a circle the formula is A=pi times radius sqaured. Since we do not have the radius we need to find it. The radius will always be half the diameter hence the (d/2). This will give us the radius, next is just to complete the area formula by squaring the radius and multiplying it by pi. i hope this helps :)
The circle's area, in function of it's diameter, is given by:
[tex]A = \frac{\pi d^2}{4}[/tex]
----------------------
The area of a circle, in function of it's radius r, is given by:[tex]A = \pi r^2[/tex]
The radius is half the diameter, thus: [tex]r = \frac{d}{2}[/tex]Replacing [tex]r = \frac{d}{2}[/tex] into the formula for the area, it is possible to find the area as a function of the diameter. Thus:[tex]A = \pi r^2[/tex]
[tex]A = \pi (\frac{d}{2})^2[/tex]
[tex]A = \pi \frac{d^2}{4}[/tex]
[tex]A = \frac{\pi d^2}{4}[/tex]
Which is the area of a circle of diameter d.
A similar problem is given at https://brainly.com/question/16891462
can yall help me solve this (3b^3 + 2b^2 + 4b +5) +(9b+9) example this is 3b to the power of 3 just saying (if that even made any sense) BUT PLZ HELPPPP
3b^3+2b^2+13b+14
Just add like terms
If u have any questions just ask
Please helppp I suckk at fractions!!!
Answer: a=2 b= 11/6 or 1 5/6
Step-by-step explanation:
¿De que manera las propiedades de las operaciones de los números racionales las podemos emplear en la estimación de presupuesto?
Answer:
La pregunta no está completa. Explicaré las propiedades de funcionamiento de los números racionales.
Explanation:
Las principales propiedades de los números racionales son:
- Propiedad de cierre
- Propiedad de conmutatividad
- Propiedad asociativa
- Propiedad distributiva
La propiedad de cierre establece que para dos números racionales cualesquiera xey, x + y, x-y, x * y, y x / y también será un número racional.
La propiedad de conmutatividad establece que para dos números racionales cualesquiera xey, x + y = x + y; x - y ≠ y - x; x * y = y * x; x / y ≠ y / x.
La propiedad asociativa establece que para cualesquiera tres números racionales dados x, y y z, (x + y) + zyx + (y + z) son iguales.
La propiedad distributiva establece que para tres números cualesquiera x, y y z, x × (y + z) = (x × y) + (x × z).
A work shift for an employee at a restaurant consists of 8 hours. What fraction of the employee's work shift is represented by 6 hours? (Simplify your answer.)
Answer:
6 hours represents [tex]\frac{3}{4}[/tex] of the 8-h work shift.
Step-by-step explanation:
The fraction of the employee's work shift is equal to the given time divided by the work shift. That is:
[tex]x = \frac{6\,h}{8\,h}[/tex]
[tex]x = \frac{6}{8}[/tex]
[tex]x = \frac{3}{4}[/tex]
6 hours represents [tex]\frac{3}{4}[/tex] of the 8-h work shift.
S/1.5 = 0.8 pls answer ASAP and show how to correct
Answer:
1.2
Step-by-step explanation:
[tex]s/1.5 = .8\\s = 1.5 * .8\\s = 1.5 *4/5\\s = 6 /5\\s=1.2[/tex]
A right cylinder-shaped water ta is used to supply water to a reservoir. If the cylinder has a diameter of 16 feet and a height of 22 feet, what is a reasonable estimate of the maximum amount og water the tank can hold
Answer:
The tank can hold 4423.36 feet³ of water.
Step-by-step explanation:
Given that,
Height = 22 feet
Diameter = 16 feet
We need to calculate the maximum amount of water
Using formula of volume
[tex]V=\pi r^2h[/tex]
Where, h = height of cylinder
r = radius of cylinder
Put the value into the formula
[tex]V=\pi\times(8)^2\times 22[/tex]
[tex]V= 4423.36\ feet^3[/tex]
Hence, The tank can hold 4423.36 feet³ of water.
–6x + 15 < 10 – 5x clnwovneineuvnepveo
x > 5
x ∈ [ 5 ; + oo )
Step-by-step explanation:–6x + 15 < 10 – 5x
15 - 10 < 6x - 5x
5 < x
x > 5
x ∈ [ 5 ; + oo )
Answer: x>5
Step-by-step explanation:
Given
-6x+15<10-5x
Add 6x on both sides (Addition property of equality)
-6x+15+6x<10-5x+6x
15<10+x
Subtract 10 on both sides (Subtraction property of equality)
15-10<10+x-10
5<x
x>5
Hope this helps!! :)
Please let me know if you have any question
Use expressions for even integers to show that the product of two even integers is an even integer.
Answer:
Step-by-step explanation:
The product of two even numbers is even.
Let m and n be any integers so that 2a and 2b are two even numbers.
The product is 2a(2b) = 2(2ab), which is even.
Smith and Simon are playing a card game. Smith will 5
win if the drawn card form the deck of 52 is either 7
or a diamond, and Simon will win if the drawn card is
an even number. Who has the higher chance of
winning? Explain why, using details. *
Answer: Simon has a higher chance of winning
Step-by-step explanation: The possibility of Smith winning is 16/52 and the possibility of Simon pulling an even card is 20/52.
(20/52 is more than 16/52)
Answer:
Simon has a higher chance of winning
Step-by-step explanation:
Look at the Screenshot for the question.
Answer:
2
Step-by-step explanation:
what is the domain of h?
why isn’t -3/5 a integer? answer asap please
Answer:
integers contain 0, all negative and +ve whole number!!
Since -3/5 is not a whole number so not an integer!
Step-by-step explanation:
Hank invested a total of $20,000, part at 7% and part at 10%. How much did he invest at each rate if the total interest earned in one year was $1640?
Answer:
The amount invested at 7% is $12,000 while the amount invested at 10% is $8,000
Step-by-step explanation:
The given parameters are;
The total amount Hank invested = $20,000
The interest earned in one year = $1640
Hank invested part of the $20,000 at 7% interest and part of the $20,000 at 10%
Let the part invested at 7% = X and the part invested at 10% = Y, we have;
7% of X + 10% of Y = $1640 which gives;
0.07×X + 0.1×Y = $1640.....................(1)
X + Y = $20,000.................................(2)
Multiply equation (1) by 10 and subtract equation (1) from equation (2) to get;
X + Y - 10×(0.07×X + 0.1×Y) = $20,000 - 10×$1640
X - 0.7·X - Y - Y = $20,000 - $16,400 = $3,600
0.3·X = $3,600
X = $3,600/0.3 = $12,000
X = $12,000
Y = $20,000 - X = $20,000 - $12,000 = $8,000
Y = $8,000
Therefore, the amount invested at 7% = $12,000 and the amount invested at 10% = $8,000.
Answer:
$8,000 at 10%
$12,000 at 7%
Step-by-step explanation:
Let the part invested at 10% = x
Let the part invested at 7% = $20,000 - x
7% = 0.07
10% = 0.10
Hank invested a total of $20,000, part at 7%
0.07(20000 - x)
And part at 10%
0.10(x)
Hence, we have:
0.10x + 0.07(20000 - x) = 1640
0.10x + 1400 - 0.07x = 1640
0.10x - 0.07x = 1640 - 1400
0.03x = 240
x = 240/0.03
x = 8000
Hence, the amount he invested at 10% = $8,000
The amount he invested at 7% =
$20,000 - x
= $20,000 - $8,000
= $12,000
A rational number is any number that can be expressed as a
a)negative number
b)fraction
c)square root
d)integer
Answer:
Hey there!
A rational number is any number that can be expressed as a fraction.
Hope this helps :)
Answer:
D.
Step-by-step explanation:
A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational. For example, one third in decimal form is 0.33333333333333 (the threes go on forever). A rational number comes to an end at some point, even if the end is long, it will eventually stop.
Points A and B have the coordinates shown below.
Estimate the length of AB to the nearest tenth of a unit.
A= (-4,7)
B= (-12, -10)
AB = units
Answer:
Distance AB is 18.79 units
Step-by-step explanation:
Given two points with coordinates as:
A= (-4,7)
B= (-12, -10)
To find:
Distance AB = ?
Solution:
To find the distance between two points with given coordinates, we can use Distance formula.
Distance formula is given as:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are the two coordinates whose distance is to be find out.
[tex]x_1 = -4\\y_1 = 7\\x_2 = -12\\y_2 = -10[/tex]
[tex]AB = \sqrt{(-12-(-4))^2+(-10-7)^2}\\\Rightarrow AB = \sqrt{(-8)^2+(-17)^2}\\\Rightarrow AB = \sqrt{64+289}\\\Rightarrow AB = \sqrt{353}\\\Rightarrow \bold{AB = 18.79\ units }[/tex]
Distance AB is 18.79 units
Answer:
AB = 18.8 units
Step-by-step explanation:
If there are two points (x1,y1) and (x2,y2) on the coordinate plane.
distance between those two points = [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]
given points are
A= (-4,7)
B= (-12, -10)
[tex]AB = \sqrt{(-4 -(-12))^{2} + (7-(-10))^{2} }\\AB = \sqrt{(-4 +12)^{2} + (7+10)^{2} }\\AB = \sqrt{(8)^{2} + (17)^{2} }\\AB = \sqrt{64 + 289 }\\AB = \sqrt{353 }\\AB = 18.79[/tex]
Thus, length of AB is 18.79 units
since, value of hudredth of unit is 9 which is greater than 9 then rounding the value to nearest tenth of unit we increase the value at tenth of unit place by that is 7 becomes 8
length of AB to the nearest tenth of a unit is 18.9 units
what does (316)(18) mean?
Answer:
It means multiply the 2 numbers.
Step-by-step explanation:
(316)(18) means 316 * 18
= 5688.
The outcome of the given expression is 5724
The given expression:
(316)(18)
To find:
the outcome of the expression:
The outcome of the given expression is obtained by multiplying them out.
[tex](318)(18) = 318 \times 18 = 10(318) + 8(318) = 3180 + 2544 = 5724[/tex]
Thus, the outcome of the given expression is 5724
Learn more here: https://brainly.com/question/16787713
Inverse function f(x)= -3/5x -3
Answer:
f(x)⁻¹ = -5/3x - 5
Step-by-step explanation:
y = -3/5x - 3
x = -3/5y - 3
x + 3 = -3/5y
(x + 3)(-5/3) = y
-5/3x - 5 = y
If a person is riding on a bicycle at a speed of 10 meters / second for 25 seconds (t), how far did she go? ; s=d/t ?
Group of answer choices
200
225
250
Answer:
250
Step-by-step explanation:
I looked up s=d/t calculator and it is the calculator soup link
What is the sum of 4.3+4.16
Answer:
8.46
Step-by-step explanation:
Answer:
8.46
Step-by-step explanation:
6+0 =6
3+1=4
4+4=8
No carryovers