It takes Three hours for a highway worker to mow the grass on a stretch of highway. It takes 6 hours for a different highway worker to mow the grass on the same stretch of highway. How many hours will it take for the two highway workers to mow the grass together on this stretch of highway?
Answer:
Step-by-step explanation:
4.5
The required time that two highway workers to mow the grass together on this stretch of highway is 2 hours,
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Rate of doing for highway workers A = 1 / 3
Rate of doing for highway workers B = 1 / 6
Now total rate,
= 1 / 3 + 1 / 6
= 2 + 1 / 6
= 3 / 6
= 1 / 2
Now,
it takes for the two highway workers to mow the grass together on this stretch of highway,
Time = 1 / 1 / 2
Time = 1 * 2 / 1
Time = 2 hours,
Thus, the required time that two highway workers to mow the grass together on this stretch of highway is 2 hours,
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Evaluate the expression. Drag the answer into the box to match the expression. 27•((3^3)^-1) a. 27 b.3 c.1 D.1/9 100 POINTS help 100!
Answer:
[tex]\Huge \boxed{\mathrm{C. \ 1}}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
[tex]27 \cdot ((3^3)^{-1})[/tex]
Multiplying exponents.
[tex]27 \cdot 3^{-3}[/tex]
Rewriting 27 with base 3.
[tex]3^3 \cdot 3^{-3}[/tex]
Adding exponents since bases are the same.
[tex]3^0 =1[/tex]
[tex]\rule[225]{225}{2}[/tex]
Answer:
C. 1
Step-by-step explanation:
27 * {(3³)⁻¹}
= 27
3³
= 27
27
= 1
six people working for five days were paid a total of sh 6000.how many more money could the same number of be paid for 12 days???
Answer:
6000
Step-by-step explanation:
6 people paid for 5 days= 6000
1 person paid for 1 day= 6000/6
=1000
6 people paid for 12 days= 1000x 12
= 12000
12000- 6000= 6000
A person makes an overseas phone call. The telephone company charges 65 cents for the first minute and then 75 cents for each minute thereafter. Because it's an overseas phone call, there is also a 55 cent service charge. If the phone call cost $ 19.20 , how many minutes did this person talk?
Answer:
25 minutes.
Step-by-step explanation:
A person makes an overseas call.
The telephone company charges 65 cents for the first minute.
Then 75 cents for each minute thereafter.
There is a 55 cent service charge.
1 dollar = 100 cents
65 cents = $0.65
75 cents = $0.75
55 cents = $0.55
For a phone call that cost $19.20 ;
Subtracting the service charge and the first minute charge from overall cost we get;
$19.20 - $0.55 - $0.65 = $18
For every additional minute there is a charge of $0.75
How many minutes make $18 ;
Cross multiplying this gives;
[tex]\frac{18}{0.75} * 1[/tex] = 24 minutes.
So the call lasted 24 minutes + 1 minute = 25 minutes.
Simplify a - b - [C- (d - e) - f] - g).
O a-b+C - d+e+f-g
O a - b + C-d + e-f+g
O a + b + C-d + e-f+g
O a+b+c+d+e-f+g
Answer:
a-b-C+d-e+f-g
Step-by-step explanation:
Steps
$a-b-\left(C-\left(d-e\right)-f\right)-g$
Show Steps
$-\left(d-e\right):\quad-d+e$
$=a-b-\left(C+e-d-f\right)-g$
Show Steps
$-\left(C-d+e-f\right):\quad-C+d-e+f$
$=a-b-C+d-e+f-g$
I don’t have a clue on what to do need help
Answer:
5x+2.25v=c
Step-by-step explanation:
$5 member fee and 2.25per video add then mutiply
Define p ~ q by the equation p ~ q = p2q3– 3q. Then 2 ~ 3 = A) 108 B) 27 C) 99 D) 117 E) 89
Answer:
C
Step-by-step explanation:
We know that p = 2 and q = 3 so:
2 ~ 3
= 2² * 3³ - 3 * 3
= 4 * 27 - 9
= 108 - 9
= 99
Solving these Quadratics for x using factoring 2x^2+5x = 3
Answer:
x = 1/2 ; x = -3
Step-by-step explanation:
To solve this problem, we first need the quadratic to be set equal to x. Then, we can use factoring to solve for the values of x.
2x^2 + 5x = 3
2x^2 + 5x + -3 = 3 + -3
2x^2 + 5x + -3 = 0
Note that the first term's coefficient is 2. This factors into 1 and 2.
Note that the third term's coefficient is -3. This factors into 3 and -1.
From here, we will simply create the binomial factors for the quadratic.
(2x - 1) (x + 3) = 0
2x - 1 = 0 ; x + 3 = 0
2x - 1 + 1 = 0 + 1 ; x + 3 + -3 = 0 + -3
2x = 1 ; x = -3
2x * 1/2 = 1 * 1/2 ; x = -3
x = 1/2 ; x = -3
So our solutions for this quadratic equation are x = 1/2 or x = -3.
Cheers.
Solution:
2x²+5x=3
Using Factorisation method,
2x²+5x-3=0
2x²+6x-x-3=0
2x(x+3)-1(x+3)=0
(2x-1)(x+3)=0
2x-1=0 and x+3=0
x=1/2 and x=-3
Which of the following is the definition of the Distributive Property?
O A. For all real numbers a, b, and c, if a = b, then a+c=b+C.
O B. For all real numbers a, b, and c with c# 0, if a = b, then ca = cb.
O C. For all real numbers a, b, and c, a(b + c) = ab + ac.
a
OD. For all real numbers a, b, and c with c# 0, if a = b, then
-
C
nt
Answer:
Option C
Step-by-step explanation:
The distributive property states that:
[tex]a(b+c)=ab+ac[/tex]
You have to multiply 'b' and 'c' by 'a' to completely distribute.
Example using Distributive Property:
[tex]4(3+5)\\\\\rightarrow\text{Distribute: }4(3+5)=4(3)+4(5)\\\\4(3+5)=12+20\\\\4(3+5)=32[/tex]
Hope this helps.
Answer:
I'm pretty sure its C.
Step-by-step explanation:
cause a would be distributed into b and c. so
a(b+c)
ab +ac
which will then become ab+ac
im bad at explaining sorry
how to find the area
Step-by-step explanation:
multiple height by width
Answer:
Area of a square: side × side
Area of a circle: π[tex]r^{2}[/tex]
Area of a triangle: [tex]\frac{1}{2}bh[/tex] (1/2 × base × height)
Write an equation that represents the line.
Answer:
Hey there!
The equation would be y=-1/2x-3.5
Hope this helps :)
Ohio's license plates have 4 letters followed by 3 numbers. If the same number CANNOT be repeated, how many license plates can be made?
Answer:
175,760, 000 plates
Step-by-step explanation:
There are 3 spots where there are 26 choices each
(=26^3)
and 4 spots where there are 10 choices each (the digits 0 through 9, =10^4). This gives:
26^3 x 10^4 = 175,760,000 plates
Hope this helps!
The purchase price of an iPad is $650. What is the total price if the sales tax rate is 8% and there is a 15% off sale today?
Answer:
Original cost + tax = Total cost
650+0.08(650) =
650+52 = $702
Answer:
$599.72
Step-by-step explanation:
8% of 650 is $52 so you add that to $650 which comes up to $702, then you find 15% of the total price, which is $105.30 you subtract that from the total price and you come up with $599.72.
A library charges $0.25 a day for a late book plus
a $050 service charge. A book is 7 days late
How much money is owed?
Write a algebraic expression and evaluate
Answer:
y = 0.50 + 0.25x
y = 2.25
Step-by-step explanation:
[tex]y = 0.50 + 0.25x\\x = 7\\y = 0.50 + 0.25(7)\\y = 0.50 + 1.75\\y = 2.25[/tex]
where y is the money owed, and x is the number of days a book is late.
Use the commutative and associative properties as needed to simplify the expression. (12+a)+14
Answer:
26+a
Step-by-step explanation:
(12+a)+14
(12+14)+a
26+a
la empresa Delta Energy cobra a sus consumidores de energía eléctrica una tarifa de $5 por mes más $0,10 por cada kilowatt-hora. exprese el costo mensual "C" en función de la energía "E" consumida.
Answer:
C=0,10E+5
Step-by-step explanation:
De acuerdo a la información dada, la expresión debe indicar que el costo mensual "C" es igual al resultado de multiplicar la energía "E" consumida por el precio de cada kilowatt-hora y a esto se le debe sumar la tarifa por mes. De acuerdo a esto, el costo mensual se debe expresar de la siguiente forma:
C=0,10E+5
6. Find the areas of the rectangles with the following side lengths.
a. 5 in and 1/3 in
c. 5/2 in and 4/3 in
b. 5 in and 4/3 in
c. 2/5 in and 4/3 in
d. 7/6 in and 6/7 in
I need an explanation on how you got the answer
List the smallest three values in the set below. {x | x ∈ N and 20 < x}
Answer:
21, 22 and 23Step-by-step explanation:
Given the set A = {x | x ∈ N and 20 < x} , from the set it can be seen that the element of the set are natural numbers where 20< x.
If 20< x
reciprocating both sides will change the sense of the inequality
1/20>1/x
cross multiply
x > 20
This means that the values of x are values grater than 20.
The smallest three values will be the smallest three natural numbers greater than 20 and they are 21, 22 and 23. Note that natural numbers are whole numbers.
Solve for a: 3/5a = 1/4
Answer: [tex]a=5/12[/tex]
Multiply both sides by 5/3
[tex](5/3)*(3/5a)=(5/3)*(1/4)\\a=5/12[/tex]
Answer:
a=12/5=2.4
Step-by-step explanation:
We cross multiply first
3/5a=1/4
5a×1=4×3
5a=12
Divide both sides by 5
5a/5=12/5
a=12/5
a=2.4
b(n) = -1 (2)^n-1 What is the 5th term in the sequence?
Answer:
The answer is - 16Step-by-step explanation:
[tex]b(n) = - 1 ({2})^{n - 1} [/tex]where
n is the number of terms
From the question since we are finding the 5th term
n = 5
Substitute the value into the above formula and solve
We have
[tex]b(5) = - 1({2})^{5 - 1} \\ = - 2 ^{4} [/tex]
We have the final answer as
- 16Hope this helps you
Simplify (9x-1)^-1/2 - (x+2)(9x-1)^-1/2
Answer:
Step-by-step explanation:
(9x-1)^-1/2 - (x+2)(9x-1)^-1/2
= (9x-1)^-1/2( 1 - (x + 2))
= (9x-1)^-1/2(-1 - x)
= -(x + 1)(9x-1)^-1/2
= -(x + 1) / (9x-1)^1/2
pleaseee anybody help me with this question it’s more than one answer
The length of a new rectangular playing field is 4 yards longer than quadruple the width. If the perimeter of the rectangular playing field is 488 yards, what are its dimensions?
Answer:
w = 48
w = 196
Step-by-step explanation:
Width = w
Length = l = 4 + 4w
Use the values for length and width above along with the given value for perimeter in the formula for perimeter.
P = 2l + 2w
488 = 2(4 + 4w) + 2w
488 = 8 + 8w + 2w
488 = 8 + 10w
488 - 8 = (8 + 10w) - 8
480 = 10w
(480)/10 = (10w)/10
48 = w
w = 48
The width is 48 yards. Use this value to solve for length.
l = 4 + 4w
l = 4 + 4(48)
l = 4 + 192
l = 196
The length is 196 yards.
25-(√16-1)·(3-9)² what is the answer?
Answer:
-155
Step-by-step explanation:
25-(√16-1)·(3-9)²
25 - (1 * 6 - 1)(3 - 9)^2
(1 * 6 -1)(3 - 9)^2 = 6^2 * 5
25 - 6^2 * 5
5 * 6^2 = 180
25 - 180
= -155
The answer to the given expression 25-(√16-1)·(3-9)² will be -83.
What is an expression?A mixture of variables,n umbers, addition, subtraction, multiplication, and division are called expressions.
A mathematical expression serves as proof that two mathematical expressions are equal.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given,
25-(√16-1)·(3-9)²
Since √16 = 4
⇒ 25-(4-1)·(3-9)²
⇒ 25 - 3(-6)²
⇒ 25 - 3 ×36
⇒ -83
Hence, the answer to the given expression 25-(√16-1)·(3-9)² will be -83.
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An area of 4 square yards is qual to 36 square feet. 10 square yards is equal to how many square feet
Answer:
90 square feetStep-by-step explanation:
square square
yards feet
4 36
10 x
[tex]x = \dfrac{36\cdot10}{4}=9\cdot10=90[/tex]
x + 2y = 33
x-y = 11
Answer:
[tex]x=\frac{55}{3},\:y=\frac{22}{3}[/tex]
Step-by-step explanation:
Solve by Elimination
[tex]\begin{bmatrix}x+2y=33\\ x-y=11\end{bmatrix}[/tex]
[tex]\begin{bmatrix}x+2y=33\\ -3y=-22\end{bmatrix}[/tex]
[tex]-3y=-22[/tex]
Divide -3 on both sides
[tex]y=\frac{22}{3}[/tex]
[tex]x+2\cdot \frac{22}{3}=33[/tex]
[tex]\mathrm{Subtract\:}2\frac{22}{3}\mathrm{\:from\:both\:sides}[/tex]
[tex]x+2\cdot \frac{22}{3}-2\cdot \frac{22}{3}=33-2\cdot \frac{22}{3}[/tex]
[tex]x=\frac{55}{3}[/tex]
[tex]x=\frac{55}{3},\:y=\frac{22}{3}[/tex]
"When comparing the means of two independent samples, the population standard deviations will almost always be"
Answer: Check this answer!
Step-by-step explanation:
The comparison of two independent population means is very common and provides a way to test the hypothesis that the two groups differ from each other. Is the night shift less productive than the day shift, are the rates of return from fixed asset investments different from those from common stock investments, and so on? An observed difference between two sample means depends on both the means and the sample standard deviations. Very different means can occur by chance if there is great variation among the individual samples. The test statistic will have to account for this fact. The test comparing two independent population means with unknown and possibly unequal population standard deviations is called the Aspin-Welch t-test.
In simple terms, The population standard deviation is a parameter, which is a fixed value calculated from every individual in the population. A sample standard deviation is a statistic. This means that it is calculated from only some of the individuals in a population. Since the sample standard deviation depends upon the sample, it has greater variability. Thus the standard deviation of the sample is greater than that of the population
Because: reason:
Since the sample standard deviation depends upon the sample, it has greater variability. Thus the standard deviation of the sample is greater than that of the population.
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An employee earns $2,300 each pay period. He is paid on the first and fifteenth
of each month. How much does he earn in one year?
Answer:
55,200
Step-by-step explanation:
The employee is paid twice a month. There are 12 months in a year. He is paid 12x2=24 times a year.
Multiply the pay per period by the number or pay periods
=2,300x24
=55,200
1) Create a box plot comparing the score of the boyd and girls as best you can
2) write a brief report of these results, write the shape, center, and spread.
Answer:
dk man
Step-by-step explanation:
Choose the appropriate symbol to indicate the relationship
between the numbers:
24___240
O A. 24 < 240
O B. 24 >240
O C. 24 = 240
Answer:
a
Step-by-step explanation: