Answer:
The correct option is;
C. The statement is false. The Subtraction Property of Equality should be used first to remove the constant term before dividing
Step-by-step explanation:
In other to solve the equation 4·b + 3 = 11, we have;
By the subtraction property of equality, we have;
Firstly we subtract 3 from both sides gives;
4·b + 3 - 3= 11 - 3
Next we apply the division property of equality, we have;
Both sides of an equation remain equal when we divide both sides of the equation by the same, non-number,
Dividing both sides by 4, gives;
4·b/4 = 8/4
b = 8/4 = 2
The solution to the equation, 4·b + 3 = 11 is b = 2.
draw a ven diagram to show relation between irrational number rational and real number
Answer:
Real numbers include both Rational and Irrational number sets.
Rational and Irrational numbers sets are independent from each other.
See the diagram attached.
WILL GIVE BRAINLIEST!!!!!!!
A rectangle's length is 3 more than it width, if the perimeter is 26 inches, what is the width of the rectangle.
Answer:
5 is the width i think
Step-by-step explanation:
Mariahs earnings rate can be described in dollars per hour or hours per dollar. Mariah earns $10 for each hour she works at a movie theater. State this rate in two different ways, and describe the difference
Answer:
Dollars per hour is $10 and hours per dollar is 6 minutes 15 seconds.
Step-by-step explanation:
Dollars per hour represents how much she earns for each hour of work. Hours per dollar represents how much she works to earn $1.
It is stated that Mariah earns $10 for each hour of work at the movie theater.
This is the "dollars per hour" rate since the base is 1 hour.
This means that she earns 10/60 = $0.16 for every minute she works at the theater. If we divide 1 by this number we find 1/0.16 = 6.25.
This is the minutes she has to work to earn $1. So her hours per dollar rate is 6.25 minutes which is 6 minutes 15 seconds.
I hope this answer helps.
the distance a jet travels (d) varies directly with the number of hours (t) flown. a jet travels 1,350 miles in three hours write an equation that represents this direct variation
Answer:
The answer is 3,150
Step-by-step explanation:
You multiply 1350 with 7 and divide it by 3 and you get 3,150 as your answer.
s=450t is the equation that represents this direct variation.
What is Distance?The length along a line or line segment between two points on the line or line segment.
Given that the distance a jet travels (d) varies directly with the number of hours (t) flown.
A jet travels 1,350 miles in three hours.
Distance is one thousand three hundred fifty and the time is three hours.
The speed is 1350/3 which is equal to four hundred fifty.
We need to write the equation that represents this direct variation.
s=450t
Hence, s=450t is the equation that represents this direct variation.
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The price for digital downloads of music is represented by the linear function f(x) shown on the graph. The price for digital downloads of movies is represented by g(x) = 3x, where x is the number of movies downloaded and g(x) is the total cost in dollars. You want to make 2 downloads, and you have $6. Determine the least expensive option.
Answer:
B
Step-by-step explanation:
A] You download 2 songs.
B] You download 2 movies.
C] You download 1 song and 1 movie.
D] You don't have enough money for 2 downloads.
x= number of movies downloaded
g(x) = total cost in dollars.
From g(x)=x
There is a slope of 1
That is, the movies cost $1 per movie.
It is a proportional relationship because of the absence of y-intercept
f(x) has a slope of (1/2) and y-intercept $2
f(x) = (1/2)x + 2 is the function for the cost of downloading music.
When we get to 3 downloads,
f(3)=g(3) and above, music downloads will be cheaper because they only cost 1/2 dollar for each additional movie compared to $1 for each movie.
For 2 movie downloads
we have,
f(2)=3
g(2)=2
So, downloading two movies will be cheaper.
One of each costs $1 + $2.50,
more than either of the other choices.
The graph shown here is the graph of which of the following rational
functions?
FOO
- 10
10
A. F(X) = **-5)
(x+2)
O B. F(x) = (x + 2)(x
O C. F(x) = (x + 2)(x-5)
Answer:
Option (B)
Step-by-step explanation:
From the graph attached,
Vertical asymptotes of the function are x = -2, 5
Horizontal asymptote is y = 0
Now we take each option,
Option (A),
F(x) = [tex]\frac{x(x-5)}{(x+2)}[/tex]
No horizontal asymptote
Vertical asymptote : x = -2
Option (B),
F(x) = [tex]\frac{x}{(x+2)(x-5)}[/tex]
Horizontal asymptotes : y = 0
Vertical asymptotes : x = 5, -2
Option (C),
F(x) = [tex]\frac{(x+2)(x-5)}{x}[/tex]
Vertical asymptote : x = 0
No horizontal asymptote.
Therefore, Function given in Option (B) matches the asymptotes given in the graph.
Option (B) represents the graph.
Function given in Option (B) matches the asymptotes given in the graph.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, From the graph attached,
Vertical asymptotes of the function are x = -2, 5
And, Horizontal asymptote is y = 0
Hence, we take each option and check as,
For Option (A),
F(x) = x (x - 5) / (x + 2)
Hence, No horizontal asymptote
And, Vertical asymptote : x = -2
Option (B),
F(x) = x / (x + 2) (x - 5)
Hence, Horizontal asymptotes : y = 0
And, Vertical asymptotes : x = 5, -2
Option (C),
F(x) = (x + 2) (x - 5) / x
Hence, Vertical asymptote : x = 0
And, No horizontal asymptote.
Therefore, Function given in Option (B) matches the asymptotes given in the graph.
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Choose the correct expression using the fewest number of bases possible that is equivalent to the current expression. Let x and y be positive integers and x>y. 11x11y=? Question 3 options: 11x+y 11x−y 11xy 11y−x
Answer:
11^(x-y)
Step-by-step explanation:
If there is a same number which is divided by the same number, but with different powers, then we subtracted down value from the upper one.
Example: 17^7/ 17^5
=> 17^(7-5)
=> 17^2
So, the answer to this question is 11^(x-y).
The second and third terms of a G.P is 6 times the fourth term. Find the possible values of the common ratio.
Answer:
-1/3 or 1/2.
Step-by-step explanation:
Second term = ar, the third = ar^2 and the fourth = ar^3.
So we have the equation:
ar + ar^2 = 6ar^3
r + r^2 = 6r^3
6r^3 - r^2 - r = 0
r(6r^2 - r - 1) = 0
(3r + 1 )(2r -1) = 0
r = -1/3, 1/2.
What is the perimeter of the rectangular with a length of 2.5 m and breadth of 1.6m
Answer:
Step-by-step explanation:
length of the rectangle = 2.5 m
breadth of the rectangle = 1.6 m
Perimeter of rectangle = 2( l + b )
= 2 × 4.1
= 8.2 m
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Juan ran the lemonade stand for 3 more days. Each day, he used the money from sales to purchase more lemons, cups, and sugar to make more lemonade. On day 2, he earned $16 and spent $7 on supplies. On day 3, he earned $22 and spent $12. The expression 16 – 7 + 22 – 12 can be used to model the situation for these 2 days.
Answer:
c.
Step-by-step explanation:
Answer:
The associative and commutative properties can be applied only to problems with addition. Juan had to change the subtraction to addition by adding the additive inverse.
Step-by-step explanation:
Alfie is buying some meat for pizza toppings. Pepperoni costs $3.50 per 100 grams and Parma ham costs $6.50 per 100g. He wants to spend $25 in total.
Answer:
Cost of meat = $15
Step-by-step explanation:
Given:
Pepperoni costs = $3.50
Parma ham costs = $6.50
Total spend = $25
Find:
Cost of meat
Computation:
Cost of meat = Total spend - Pepperoni costs - Parma ham costs
Cost of meat = $25 - $6.50 - $3.50
Cost of meat = $15
Hello :) how to do (d)?
Answer:
tan ∠ABC=[tex] \frac{3}{5} [/tex]
Step-by-step explanation:
Please see attached picture for full solution.
20 points! Thanks for the help :)
Answer:
Step-by-step explanation:
a) (-2x³ + x - 5)(x³ - 3x - 4)
= (-2x³) (x³ - 3x - 4) + x(x³ - 3x - 4) - 5(x³ - 3x - 4)
= -2x³*x³ - (-2x³)*3x - (-2x³)*4 + x*x³ - x*3x - x*4 + x³ * (-5) - 3x*(-5) -4*(-5)
= -2x⁶ + 6x⁴ + 8x³ + x⁴ - 3x² -4x - 5x³ + 15x + 20 {add like terms}
= -2x⁶ + 6x⁴ + x⁴ + 8x³ - 5x³ - 3x² - 4x + 15x + 20
= -2x⁶ + 7x⁴ + 3x³ - 3x² + 11x + 20
Hint: When multiplying two terms, multiply the coefficient, and add the powers of the variables {[tex]a^{m}*a^{n}=a^{m+n}[/tex] }
-2x³*x³ = (-2*1) * [tex]x^{3+3}[/tex] = -2x⁶
b) Yes , same because of commutative property of multiplication
Answer:
[tex]-2x^6+7x^4+3x^3-3x^2+11x+20[/tex]
Step-by-step explanation:
a) We can expand [tex](-2x^3 + x - 5) (x^3 - 3x - 4)[/tex], getting [tex]-2x^6+6x^4+8x^3+x^4-3x^2-4x-5x^3+15x+20[/tex]. We can then combine like terms, getting [tex]-2x^6+7x^4+3x^3-3x^2+11x+20[/tex].
b) Yes it is the same, as it doesn't matter the order if you multiply two polynomials. It will always be the same.
If David reads 20 pages a fay for 2 weeks, how many pages will he read altogether?
Answer:
280 pages
Step-by-step explanation:
There are 14 days in 2 weeks ( 7 days in 1 week )
20 pages a day * 14 days = 280 pages
Answer: David reads 280 pages altogether.
Step-by-step explanation: If David reads 20 pages a day, and there are 7 days in a week, then he will read 140 pages in one week (20 x 7). Since the problem asks for how many pages he read in two weeks, then you can multiply 140 by 2 and get 280, which is your answer. Hope this helped :)
need math help ASAP:)
Answer:
f(-2) = 4
Step-by-step explanation:
The function has three definitions depending on the value of x.
You are looking for the value of the function at x = -2.
-2 is in the interval x <= -1, which is the first line of the definition of the function.
We use the first line of the definition of the function.
f(x) = -2x for x <= -1
f(-2) = -2(-2) = 4
Answer: f(-2) = 4
g) 73 x -0.14 =
h) 57.1 x -0.23 -
i) -4300 x -1.23
j) 3.12 x 8.33
For Every 6 dogs there are 15 cats at the animal shelter. Sam counted 45 cats. so how many dogs are there?
Answer:18
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
that is the answer
Two sides of a triangle measure 9 cm and 23 cm. Which could be the
measure of the third side of the triangle?
Answer:
h²=b²+p²
x²= 9²+23²
x²= 81+529
x²=610
X= √610
Seven apple women possessed respectively 20,40,60,80,100,120,and 140 apples, went to market and sold all their apples at the same price,and each received the same sum of monkey.What was the price?
Answer: Each woman sold her apples at the rate of seven apples for I¢, and 3¢ each for the odd ones which were left over. this made it possible for each to receive the same amount, which is 20¢.
Step-by-step explanation:
given data:
20,
40,
60,
80,
100,
120,
140.
solution.
first woman 20 apples
= 2 + 3 * 6¢.
= 20¢.
second woman 40 apples
= 5 + 5 * 3¢.
= 20¢.
third woman 60 apples
= 8 + 4 * 3¢.
= 20¢.
fourth woman 80 apples
= 11 + 3 * 3¢.
= 20¢.
fifth woman 100 apples
= 14 + 2 * 3¢.
= 20¢.
sixth woman 120 apples
= 17 + 1 * 3¢.
= 20¢.
seventh woman 140 apples
= 20 * 1¢.
= 20¢.
Day and Night Kennel charges $20 per day plus a one-time food fee of $15 to board a pet. Bark Time Hotel charges $30 per day plus a one-time food fee of $5. Which system represents this real-world situation?
Answer:
See below.
Step-by-step explanation:
Let x represent the number of days.
Since Day and Night Kennel charges a fee of $20 per day and only a one-time fee of $15:
[tex]y=20x+15[/tex]
Where y represents the total cost, 20x represents the cost for staying x days and 15 is the initial one-time fee.
For Bark Time Hotel, similarly:
[tex]y=30x+5[/tex]
Again, y represents the total cost, 30x represents the cost for staying x days, and 5 is the initial one-time fee.
Thus, the system of equations is:
[tex]y=20x+15\\y=30x+5[/tex]
The system that represents this real-world situation is:
Cost = 20d + 15
Cost = 30d + 5
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The system that represents this real-world situation is:
Let d be the number of days the pet will be boarded.
For Day and Night Kennel:
Cost = 20d + 15
For Bark Time Hotel:
Cost = 30d + 5
In this system, d represents the number of days the pet will be boarded, the constant 20 represents the daily boarding fee charged by Day and Night Kennel, the constant 30 represents the daily boarding fee charged by Bark Time Hotel, the constant 15 represents the one-time food fee charged by Day and Night Kennel, and the constant 5 represents the one-time food fee charged by Bark Time Hotel.
Thus,
Cost = 20d + 15
Cost = 30d + 5
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At a certain golf course, the cost to rent a golf cart for h hours is given by c = 12h + 25. How much would a customer pay to rent a golf cart for 4 hours? Question 10 options: A) $37 B) $112 C) $73 D) $41
Answer:
c)$73
Step-by-step explanation:
You just have to substitute 4 in for h because h stands for how many hows. They're renting it for 4 hours.
Answer:
c) 73
Step-by-step explanation:
c=12(4 hours) + 25
c=48 + 25
c=73
If (x – ½) and (x-2) are the factors of px2+5x + r, find p and r . Also find p -r .
Answer:
p = -2, r = -2 and p-r = 0.
Step-by-step explanation:
(x - 1/2)(x - 2)
= x^2 - 2x - 1/2x + 1
= x^2 - 5/2x + 1
= 2x^2 - 5x + 2
= -2x^2 + 5x - 2
Comparing this with
px^2 + 5x + r
we see that p = -2, r = -2 and p-r = 0.
Sam will take four science tests this quarter. Her scores on three of the tests are shown below. What does Sam need to score on the fourth test to ensure that she will have an average of 90% for all four tests?
Answer:
98%
Step-by-step explanation:
83%+91%+88%+?=90×4
262+?=360
?=360-262
?=98%
Answer:
98% i believe
Step-by-step explanation:
Ifteen bales of hale were loaded into a truck. Some of the bales weight 150 pounds, and some weighed 100 punds. Hpw many bales of 100 pounds and 150 pounds were loaded into the truck, total weight is 1900 pounds
Answer:
There are 7 bales of 100 pounds and 8 bales of 150 pounds hale
Step-by-step explanation:
Let the amount of bale of 100 pounds be x and the bale of hale of 150pounds be y
If fifteen bales of hale were loaded into a truck, then x+y = 15 ... 1
Also if some of the bales weight 150 pounds, and some weighed 100 pounds with total weight of pounds to be 1900 pounds, then mathematically;
150y + 100x = 1900
Dividing through by 100;
1.5y+x = 19 ..... 2
Solving equation 1 and 2 simultaneously;
x+y = 15 ... 1
1.5y+x = 19 .... 2
Subtracting 1 from 2
y-1.5y = 15-19
-0.5y = -4
Divide both sides by 0.5
-0.5y/-0.5 = -4/-0.5
y = 8
Substituting y = 8 into equation 1, we will have;
x+y = 15
x+8 = 15
x = 15-8
x = 7
Hence there are 7 bales of 100 pounds and 8 bales of 150 pounds hale
4.6 2.8 17 7 least to greatest
Answer:
2.8, 4.6, 7, 17
Step-by-step explanation:
Answer:2.8,4.6,7,17
Step-by-step explanation:So you see the decimal you find the smallest number that is a decimal and that is your least decimal. And then you find the next smallest number and keep going up to the biggest number on the least to greatest.
I dug a hole that was 16 feet deep. My dog came and put 8 feet of dirt back into the hole but then my husband put 5 feet of dirt back into the hole. What integer represents the depth of the hole?
Answer:
3 feet
Step-by-step explanation:
Initial depth = 16 feet
Then:
16 - 8 - 5= 8 - 5 =3 feet depth leftI need help finding the weather it is continuity or not
Answer:
it is discontinuety bcz at 1,4 and 6 it is discontinued
25 points
An atom is composed of protons (+1 charge), neutrons (0 charge), and
electrons (-1 charge). An atom has a neutral charge (total charge
o).Another ion has a charge of -4. How can this ion become neutral?
4 protons and 4 electrons
4 neutrons
4 protons
electrons4
Clear selection
Answer:
4 protons
Step-by-step explanation:
because protons are positive and the ion has a negative charge
Equation of line joining the origin and centroid of a triangle having vertices (1,
-2), (3, 5) and (5, -6).
Step-by-step explanation:
the formulae for finding centroid is (x1+x2+x3/3 , y1+y2+y3/3)
so the coordinates of centroid is (1+3+5/3 , -2+5-6/3)
(3,-1) and other point is the origin (0,0)
we know ,the equation is
x-x1/x1-x2= y-y1/y1-y2
x-3/3-0= y-(-1)/-1-0
x-3/3=y+1/-1
-x+3=3y+3
or -x+3y=0
or x-3y=0(multiplying -1 in both sides)
so the eq is x-3y=0 ans
thank u
please help me immediately
The arithmetic mean of 3 numbers is less than 20.The first number is 5 and the second number is 25.Find the possible values for the third no number.
Answer:
The third number can be any number less than 30.
Step-by-step explanation:
If the arithmetic mean of three numbers is less than 20, then their sum must be less than 20 * 3, or 60. We know that two of the numbers are 5 and 25, which add up to 30. In order for the arithmetic mean of the three numbers to be less than 20, the unknown number must be less than (60 - 30), or in order words, less than 30. So the third number can be any number less than 30.