We will see that the first odd number is 13 and the second odd number is 15, the product is:
P = 13*15 = 195
How to find the two consecutive odd numbers?
Let's say that the first number is x, the next odd number will be x + 2.
The sum of these two odd numbers must be 2, then we need to solve the linear equation:
x + (x + 2) = 28
We can solve that for x:
2x + 2 = 28
2x = 28 - 2 = 26
x = 26/2 = 13
Then the first number is x = 13 and the second number is x + 2 = 13 + 2 = 15.
The product of these two numbers is:
13*15 = 195
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Using the equation below, what is the
value of p when v = 7?
p = 6v + 21
Answer:
p = 63
Step-by-step explanation:
It is given that the variable v is equal to 7:
v = 7
Plug in 7 for v, and then solve the given equation:
p = 6v + 21
p = 6(7) + 21
Simplify. Remember to follow PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis, Exponents (& Roots), Multiplications, Divisions, Additions, Subtraction.
First, multiply 6 with 7:
p = (6 * 7) + 21
p = 42 + 21
Next, add:
p = 42 + 21
p = 63
63 is your answer for p.
~
Answer:
p = 63
Step-by-step explanation:
p = 6(v) = 21
add in 7 in place of v
p = 6(7) + 21
do 6(7)
p = 42 + 21
add those together
p = 63
Here you go! :)
The area of a rectangular room is 48 square feet and the width is 2 yards. What is the length of the room?
Answer:
8 feet = 2 ²/₃ yards
Step-by-step explanation:
1 yard = 3 feet
Given width = 2 yards
⇒ width = 2 × 3 = 6 feet
Area of a rectangle = width × length
⇒ 48 ft² = 6 ft × length
⇒ length = 48 ft² ÷ 6 ft
⇒ length = 8 ft
To convert the length to yards, divide by 3:
⇒ 8 ÷ 3 = 2 ²/₃ yards
a community service program, students earn points for two tasks: painting over graffiti and picking up trash. The
following constraints are imposed on the program.
1) A student may not serve more than 10 total hours
per
week.
2) A student must serve at least 1 hour per week at each task.
Let g = the number of hours a student spends in a week painting over graffiti.
Let t = the number of hours a student spends in a week picking up trash.
Write a system that represents the imposed constraints.
The system of equations that represents the imposed constraints is given as follows:
[tex]g + t \leq 10[/tex][tex]g \leq 1, t \leq 1[/tex]What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are:
g = the number of hours a student spends in a week painting over graffiti.t = the number of hours a student spends in a week picking up trash.A student may not serve more than 10 total hours per week, hence:
[tex]g + t \leq 10[/tex]
A student must serve at least 1 hour per week at each task, hence:
[tex]g \leq 1, t \leq 1[/tex]
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write an equation for an arithmic sequence such that t(3)=13 and t(12)=67 HELP ASAP
Answer:
t(n) = 1 +6(n -1)
Step-by-step explanation:
The general term of an arithmetic sequence with first term t(1) and common difference d is given by the formula ...
t(n) = t(1) +d(n -1)
__
Using the two given values of n and t(n), we can find the unknown parameters.
13 = t(3) = t(1) +d(3 -1) = t(1) +2d
67 = t(12) = t(1) +d(12 -1) = t(1) +11d
Subtracting the first equation from the second, we get ...
(67) -(13) = (t(1) +11d) -(t(1) +2d)
54 = 9d . . . . simplify
6 = d . . . . . . divide by 9
Substituting into the first equation gives ...
13 = t(1) +2(6)
1 = t(1) . . . . . . . . subtract 12
Using the found values in the equation for the sequence gives ...
t(n) = 1 +6(n -1)
Find the solution of 3x+5/2x+1 = 1/3
Answer:
x = -2
Step-by-step explanation:
[tex]\frac{3x+5}{2x+1} = \frac{1}{3}[/tex]On cross multiplying,
3(3x + 5) = 1(2x + 1)9x + 15 = 2x + 17x = -14x = -2Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
Given equation:
[tex]\dfrac{3x+5}{2x+1}=\dfrac13[/tex]
Cross multiply:
[tex]\implies 3(3x+5)=1(2x+1)[/tex]
Expand brackets:
[tex]\implies 9x+15=2x+1[/tex]
Subtract [tex]2x[/tex] from both sides:
[tex]\implies 9x+15-2x=2x+1-2x[/tex]
[tex]\implies 7x+15=1[/tex]
Subtract 15 from both sides:
[tex]\implies 7x+15-15=1-15[/tex]
[tex]\implies 7x=-14[/tex]
Divide both sides by 7:
[tex]\implies \dfrac{7x}{7}=-\dfrac{14}{7}[/tex]
[tex]\implies x=-2[/tex]
Mrs. Chase hired a landscaping service to plant a row of bushes around her triangular backyard. If the bushes
must be planted 3 feet apart, approximately how many bushes are needed for the backyard? (4 points work,
1-point final answer)
12
30
The number of bushes that is approximately needed for Mrs. Chase's backyard is 23 bushes
How many bushes are needed?The number of bushes needed = perimeter of the backyard / 3 feet
The perimeter of the backyard is the sum of the three sides of the right triangle that is the shape of the backyard. The length of the third side would be detemined using Phythagors theorem.
Length of the third side : √30² - 12² = 27.50 feet
Perimeter of the backyard = 27.50 + 12 + 30 = 69.50 feet
The number of bushes needed =69.50 / 3 = 23.17 = 23 bushes
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I NEED HELP WITH THIS ALEKS TOPIC
subtraction/algebraic subtraction
What you have looks right, the reason for step 7 should just be algebraic subtraction since there is a DG on both sides that can be simplified out of the equation
I’m not sure what exact answer your question will allow, but it’ll be something along the lines of subtraction
there are 15 boys and 10 girls in mrs.rogers class what is the ratio of boys to girls ?
Answer: The ratio of boys to girls in Mrs.Rogers class is 15 to 10.
Step-by-step explanation:
How do I solve this hmm
Answer:
put the numbers that are x into the equation. you always try to find y in this problem
Step-by-step explanation:
y=x+8
the first x is 0 so we do
y= 0+8
y=8
and you keep repeating this where x=1 and x= 2
I need help with 20.
Step-by-step explanation:
why ? you did it right there already.
the numerator is the top part of the fraction, the "counting" part (how many units of a certain type or size are there).
the denominator (the bottom part) is defining the type or size of units described by the fraction.
so, we are adding 4 to the numerator of 2/5, making it (2+4)/5 = 6/5
what do we need to add to the denominator (the bottom part) to make the fraction have the value of 1/2 ?
so, what x would make 6/x = 1/2 ?
6 = x/2
x = 6×2 = 12
so, we need to get 12 in the denominator, where we have currently 5.
therefore, we need to add 12-5 = 7 to it.
so that
6/(5+7) = 6/12 = 1/2
if a1 = 4 and an = -4a n-1 +5 then find value of a5
please help
Answer:
Step-by-step explanation:
a1 = 4
a2 = -5(4)-1 = -21
a3 =-5(-21)-1 = 104
a4 = -5(104)-1 =-521
a5 =-5(-521)-1 = 2604
Answer this please thank you
Find the a:b
Need this fast
Answer:
Hope the picture will help you.......
Review the graph of function f(x). On a coordinate plane, a graph has maximum point at open circle (0, 4), and curves down and then repeats with smaller curves at intervals of 2 pi in both the positive and negative x -axis. A point is at (0, negative 2). Which statement identifies and explains Limit of f (x) as x approaches 0? The limit Limit of f (x) as x approaches 0 = –2 because the value of the function at x = 0 is –2. The limit Limit of f (x) as x approaches 0 does not exist because there is an open circle at (0, 4). The limit Limit of f (x) as x approaches 0 = 4 because both the left-hand and right-hand limits equal 4. The limit Limit of f (x) as x approaches 0 does not exist because there is oscillating behavior around x = 0.
The true statement is that (b) The limit [tex]\lim_{x \to 0} f(x)[/tex] does not exist because there is an open circle at (0, 4).
How to interpret the limit of f(x)?From the graph of the function (see attachment), we have the following highlight:
There is an open circle at point (0,4), the maximum point of the function f(x) and when x = 0
When there is an open circle in the graph at x = 0, then the function has no limit at this point
This is so because the value is exclusive of the function values
Hence, the limit [tex]\lim_{x \to 0} f(x)[/tex] does not exist because there is an open circle at (0, 4).
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Answer:
C - The limit Limit of f (x) as x approaches 0 = 4 because both the left-hand and right-hand limits equal 4.
Step-by-step explanation:
Precalc Edge 2023
What is the value of c if, 2c + 8 = 26 ?
A.
9
B.
42
C.
18
D.
34
Answer:
Option A
The answer is 9
Step-by-step explanation:
2c + 8 = 26
Subtract 8 from both side we get,
2c + 8 – 8 = 26 – 8
2c = 18
Divide both side by 2 we get,
2c/2 = 18/2
c = 9
Thus, The value of c is 9
Braxton sold lemonade to earn
money for a new bicycle. After
selling 12 cups of lemonade, he
had earned $9. Based on this
information, what is the constant
of proportionality?
A) 12
B) 1.75
C) 1.33
D)0.75
Answer:
ok so this sounds kind of fancy but constant of proportionality just mean cups sold by amount made
9/12=0.75
so c
Hope This Helps!!!
PLEASE HELP WILL GIVE BRAINLIEST!!!!
Answer:
Its The 3rd one you are correct in picture
Step-by-step explanation:
suppose you had D dollars in your bank account. you spent $22 but have at least $28 left. how much money did you have initially? write and solve an inequality that represents this situation.
d-22 > 28; d > 50
d +22 28; d > 72
d + 22 s 28; ds 72
d-22 28; d = 50
Answer:
Answer:
d--22→ 28
d→ 50
Step-by-step explanation:
Let d dollars be the initial amount in your bank account.
We have been given that you spent $22, so the amount left after spending $22 will be: .
We are also told that after spending $22, you have at least $28. This means that the amount left after spending $22 will be greater than or equal to $28.
We can represent this information in an equation as:
Therefore, the inequality represents the initial amount of money you had.
Now let us solve for d by adding 22 to both sides of our inequality.
Therefore, initially you had at least $50.
Still stuck? Get 1-on-1 help from an expert tutor now.
Step-by-step explanation:
brain less
Max has a monthly salary of $1,100 and also earns 7.5% commission on his sales. if max had $43,000 in sales last month, what were his total earnings for the month? a. $3,225 b. $4,050 c. $4,325 d. $5,150 please select the best answer from the choices provided a b c d
The total earning of the month be $4325 .
We have given that the Max has a monthly salary of $1,100 and also
earns 7.5% commission on his sales.
When Max had $43,000 in sales last month .
He earns 7.5% is commission
We have convert it into the decimal form.
[tex]\frac{7.5}{100}=0.075[/tex]
Commission Max earns = 0.075 × Total sales of the last month
Commission Max earns= 0.075 × 43000
Commission Max earns = $ 3225
What is the formula for the total earning?Total earning of a month = Monthly salary + Commission earning
Total earning of a month = $1100 + $3225
Total earning of a month = $ 4325
Therefore the total earning of the month be $4325 .
The Option (c) is correct.
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On Saturday, Mark sold 2 7/8 gallons of lemonade. On the same day, Regan sold 2/3 as much lemonade as Mark. How much lemonade, in gallons, did Regan sell? Help
Answer:
Step-by-step explanation:
The total amount of lemonade Regan sells is 69/16 gallons and this can be determined by using the arithmetic operations.
Given :
Mark sold 2 7/8 gallons of lemonade.
Regan sold 2/3 as much lemonade as Mark.
The following steps can be used in order to determine the total amount of lemonade Regan sells:
Step 1 - The arithmetic operations can be used in order to determine the total amount of lemonade Regan sells.
Step 2 - According to the given data, Mark sold 23/8 gallons of lemonade.
Step 3 - Let the total amount of lemonade Regan sells be 'x'.
Step 4 - So, the value of 'x' can be calculated as:
x = 23/8 × 3/2
x = 63/16
The total amount of lemonade Regan sells is 69/16 gallons.
The sum of two numbers is eighteen. The total of three times the smaller and twice the
larger is 44. Set up and solve and algebraic equation to find the two numbers.
Answer:
x=8 y=10
Step-by-step explanation:
x+y =18 x=(18-y)
3(18-y) +2y =44
54-3y+2y =44
54-y =44
-y=-10
y=10
x+10=18
x=8
How many degrees are in an angle that turns 1/2 of a cirle
Answer:
180 degrees.
Step-by-step explanation:
360 degrees is a full circle, so half of it is 180 degrees.
Bella baked a two layer cake.The bottom layer has dimensions of 4 inch x 6inch x 8inch.The dimensions of the top layer are half bottom.What is the volume of the top layer.
Answer:
30 is the answer because you need to multiple 4 and 6
The speed of the jet Alyssa flew on from Boston to London was 480 mph. On her return flight, the speed of the jet was 600 mph with a tailwind. What was Alyssa's average speed on the round trip? Round your answer to one decimal place.
P.S: The answer is not 540
Answer:
533.3
Step-by-step explanation:
x/480+x/600
2x/18x
4800/9=533.333333
533.34
Which expression has a value of -12?
F (-10 + 4)= (11 - 9)
G (3 - 5).(-4 + 10)
H (5 – 7 +22) = (-2)
(7 - 10) (3 - 7)
Answer:
G.
Step-by-step explanation:
(3 - 5).(-4 + 10)
= -2 * 6
= -12.
Add the number which comes in the middle of the series to the largest number and divide the total by the smallest number 28 5 18 6 7
Answer:
8.2
Step-by-step explanation:
Number in the middle of the series = 18
Largest number = 28
Smallest number = 5
(18+28)/5
46/5
8.2
The required simplified solution of the given statement is 9.2.
Given that,
To determine the simplified solution of the given condition,"Add the number which comes in the middle of the series to the largest number and divide the total by the smallest number 28 5 18 6 7".
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
According to the given statement,
Adding the number that is greater and in the middle of the former series
= 18 + 28 / 5
= 46 / 5
= 9.2
Thus, the required simplified solution of the given statement is 9.2.
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Question is in the picture.
Answer:
angle A=65
a= 24.5
b= 36.4
Step-by-step explanation:
Help asap I don’t know what I’m doing
Answer:
you are right it is ^
Step-by-step explanation:
Answer:
It is your answer
Step-by-step explanation:
Your welcome.
plsss answer thiss.. i need it rn non sense answer will be reported
Answer:
Answer below in the picture
I hope my answer helps you.
please help with 2 in the picture.
Answer:
4
Step-by-step explanation: