Step-by-step explanation:
We need to write the sum of 2x - 7 and the opposite of 2x
Opposite of 2x is (-2x)
Sum means to add the number :
2x-7 + (-2x)
Remove parentheses,
2x-7 - 2x
Taking like terms together,
2x-2x-7= 0-7
= -7
Hence, the answer is -7.
If $5,000 is invested at 6% interest, how much money must be invested at 8% interest so that the total interest from the two investments is $660 after one year?
Answer:
$4500
Step-by-step explanation:
Simple Interest formula = Principal × Rate × Time
Let the amount of the money invested at 8% Interest = x
Hence:
$5000 × 6% × 1 + x × 8% × 1 = $660
$300 + 0.08x = $660
0.08x = $660 - $300
0.08x = $360
x = $360/0.08
x = $4500
Therefore , the amount that must be invested at 8% interest is $4500
a = 3.6 and b = 10, then ab = _______. *
Answer:
36
Step-by-step explanation:
3.6 * 10 = 36
Answer:
36
Step-by-step explanation:
if a = 3.6 and b= 10 and if we want to find ab we will just multiply them
3.6 x 10 = 36
(If you multiply a decimal by 10, the decimal point will move one place to the right. If you divide a decimal by 10, the decimal point will move one place to the left. If you multiply or divide by any power of 10, it will move a number of spaces equal to the number of 0's.)
have a wonderful day
Can someone help me? And explain it to me pls<3
Can someone tell me What dose Y=??
Please help me with this question!!
Answer:acute
Step-by-step explanation:
Jody works at an ice cream counter. The ice cream costs $3 per cone. Let c represent the number of ice cream cones she sells. Let p represent
the total cost paid by the customers.
Choose two correct statements about the variables in this situation,
A. The cost per cone depends on the number of cones sold.
B. The total cost paid by customers depends on the number of cones sold,
O c The number of cones sold is independent of the total cost paid by customers.
D. The total cost paid by customers is independent of the number of cones sold,
Answer:
B and C are correct Hope this helps <3
Step-by-step explanation:
Answer:
B and C?
Step-by-step explanation:
Im a little unsure about C but im about99% sure that is correct
Could someone help me on this assignment I don’t quite understand
Liana hikes slowly away from her campsite for 30 minutes. Then she rests for 10 minutes,
Finally she hikes back to her campsite at a faster pace, reaching it in 20 minutes.
Which graph could represent Liana's distance from the campsite and time?
Answer:
The answer would be A
Step-by-step explanation:
The Y axis represents the distance Liana traveled from 0 (campsite). the X axis represents the amount of time.
Liana travels away from the campsite for 30 minutes (slope), and then she stops completely for 10 minutes (no Y axis moments). She then returns back to camp faster (minutes)
Every other answer is incorrect as they maintain a single block from the graph, and each block is counted as 5 minutes. The only answer that has that 10 minute wait is answer A
The correct graph of this situation is showing in Graph 2.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
Liana hikes slowly away from her campsite for 30 minutes. Then she rests for 10 minutes,
And, Finally she hikes back to her campsite at a faster pace, reaching it in 20 minutes.
Now,
Let time is showing on x - axis.
And, Distance from campsite in on y - axis.
Hence, In graph 2;
Liana hikes slowly away from her campsite for 30 minutes. Then she rests for 10 minutes, And, Finally she hikes back to her campsite at a faster pace, reaching it in 20 minutes.
Learn more about the mathematical expression visit:
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What is the solution to the system of equations graphed below?
y = -2x + 4
-5
5
y = x-5
O A. (3,2)
B. (0,4)
C. (3,-2)
D. (0,-5)
Please help
Answer:
C. (3,-2)
Step-by-step explanation:
Factor out the coefficient of the variable term.
The expression 0.15c – 0.072 factored is
please help!!
Answer:
Step-by-step explanation:
Dookie
To rent a certain meeting room, a college charges a reservation fee of $34 and an additional fee of $9.30 per hour. The math club wants to spend less than $99.10 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room?
Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
9 hours.
Step-by-step explanation:
31 + 5.9*t < 84.10.
To solve it, collect the constant terms on the right side:
5.9*t < 84.10 - 31 = 53.10,
Hence, t < 53.10%2F5.9 = 9 hours.
Answer:
7 hours
Step-by-step explanation:
99.10-34=65.1
65.1 divide by 9.30=7
Hope this helps!!
PLEASE HELP ASAP!!
When retested on the WAIS, people's second scores generally match their first scores
quite closely. This indicates that the test has a high degree of:
A. Heritability
B. Content validity
C. Predictive validity
D. Reliability
Answer:
D. Reliability
Step-by-step explanation:
Answer:
the answer is b because the same score means more validity
10 (4p - 2k)(3)
In distributive property?
Answer:
10 ( 12p - 6k)
Step-by-step explanation:
4p x 3 = 12p
2k x 3 = 6k
you cannot subtract 12p and 6k bcuz they do not have the same variables.
If I work at a store for $9/hour and get paid every week. How much would I make for 3 months?
Answer:
You'll be making approximately $4,320.00 after 3 months. Approximately because I assumed you have an 8-hour shift, 5 working days and 4 weeks in a month. If there are other cases like 6 working days, just replace 5 with 6 and recompute.
Step-by-step explanation:
[tex] \frac{9 \: dollars}{hour} \times \frac{8hours}{day} \times \frac{5days}{week} \times \frac{4weeks}{month} \times 3months \: = 4320 \: dollars[/tex]
What is 9,000.000.000.000.000.000.X 12.000.000.000.000.000.000.000.000.000.000
Answer:
108000.
Step-by-step explanation:
9,000 x 12
A cereal factory purchases chopped
almonds in bags weighing 5 pounds
cach. A factory machine adds
pound of the chopped almonds to
each box of Almond Crunch cereal.
If the factory plans to produce 1,200
boxes of Almond Crunch cereal, how
many bags of chopped almonds does
the factory need to purchase?
Answer:
need poi
Step-by-step explanation:
Answer:
1,200 /5
Step-by-step explanation:
It takes Andre 6 minutes to swim 5 laps. (a). How many laps per minute is that? Include how you arrived at your solution.
Answer:
1.2 minutes
Step-by-step explanation:
So its saying it takes 6 mins to do 5 laps. Thats a little over a min per lap so we now its going to be over 1. The first step is to divide 6/5. Then you get 1.2
need a quick answer please
Answer:
-3, 6
Step-by-step explanation:
This one was on my unit test
Round to the nearest hundredth O(5x + 2) = 2(9x - 6) Type your answer...
Answer:
Solving the expression and round to the nearest hundredth
[tex]0(5x+2)=2(9x-6)[/tex] we get [tex]\mathbf{x=0.67}[/tex]
Step-by-step explanation:
We need to solve the expression and round to the nearest hundredth
[tex]0(5x+2)=2(9x-6)[/tex]
Solving:
[tex]0(5x+2)=2(9x-6)[/tex]
We know that multiplying anything by zero we get zero
[tex]0=2(9x-6)[/tex]
Switching sides
[tex]2(9x-6)=0[/tex]
Multiplying 2 with terms inside the bracket
[tex]18x-12=0[/tex]
Adding 12 on both sides
[tex]18x-12+12=0+12\\18x=12[/tex]
Divide both sides by 18
[tex]\frac{18x}{18}=\frac{12}{18}\\x=0.666[/tex]
Rounding to nearest hundredth we get:
[tex]x=0.67[/tex]
So, solving the expression and round to the nearest hundredth
[tex]0(5x+2)=2(9x-6)[/tex] we get [tex]\mathbf{x=0.67}[/tex]
I need help solving this practice question
[tex]3x-9=45\\3x=45+9\\3x=54\\x=18[/tex]
Fun fact
Bananas are curved because they grow towards the sun ☀️
Answer: the answer is 18
Step-by-step explanation:
My second prob please help helpppI need help like right now pleaseeeeee
Answer:
5/8
Step-by-step explanation:
v = l x w x h
v = 3/4 x 1/3 x 5/2
v = 5/8 cm or 0.635 cm
WILL MAKE BRAINLIEST
The Point of Concurrency made from medians is a(n):
Answer:
centroid
Step-by-step explanation:
8 X 9 X 2 = ? What is that?
Answer:
144
Step-by-step explanation:
8 x 9= 72
72 x 2= 144
ANSWER QUICK HANKS I WILL GIVE BRAINLIEST
Answer:
2 2/9
Step-by-step explanation:
Answer: 2 2/9
Step-by-step explanation:
16/9÷4/5=80/36 simp 2 2/9
which is a factor pair of 72?
A) 12,6
B) 14,5
C)23,4
D)24,2
Answer:
the answer is A) 12,6. .
Step-by-step explanation:
.
NEED HELP ASAP WILL GIVE BRAINLIEST! :)
Answer:
it adds up to 180 so the missing parts would be whats left.
Step-by-step explanation: 35 +105=( you fill it in)
the numbe you filled in minuse 180
i need help! can you also explain it?
Answer:
Number B
Step-by-step explanation:
Luci Lulu opened a cookie store in the mall. She found that the relationship between the price of a cookie, p, and the number of cookies sold, x, is given by the linear relationship x = −2000 p + 4000 . Find the maximum revenue Luci can make selling cookies in one day. Find the price she should sell the cookies for to make the maximum revenue.
Answer:
The price to make maximum revenue is 1 and the maximum revenue is 2000.
Step-by-step explanation:
Consider the provided information.
Revenue is the product of the number of sales and the sales price.
Here, [tex]p[/tex] is the price of a cookie and the number of cookies sold is [tex]x =- 2000 p + 4000[/tex].
[tex]\text{Revenue}=p(-2000 p + 4000)[/tex]
[tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]
The above equation is a quadratic equation and the graph of the above equation will be a downward parabola because the coefficient of [tex]p[/tex] is negative.
The vertex(axis of symmetry) of a downward parabola has the maximum point.
The axis of symmetry is [tex]x=\frac{-b}{2a}[/tex] for the quadratic equation [tex]ax^2+bx+c=0[/tex].
By compare Revenue equation with [tex]ax^2+bx+c=0[/tex], we get:
[tex]x=p, a=-2000, b=4000 \text{ and } c=0[/tex]
Now put the respective values in the formula [tex]x=\frac{-b}{2a}[/tex] .
[tex]p=\frac{-4000}{2(-2000)}[/tex]
[tex]p=1[/tex]
So revenue will be maximum for [tex]p=1[/tex].
Now put [tex]p=1[/tex] in [tex]\text{Revenue}=-2000 p^2 + 4000p[/tex]
[tex]\text{Revenue}=-2000 (1)^2 + 4000(1)[/tex]
[tex]\text{Revenue}=-2000 + 4000[/tex]
[tex]\text{Revenue}=2000[/tex]
Hence, the price to make maximum revenue is 1 and the maximum revenue is 2000.
Maximum revenue generated = $2000
Price at which the maximum revenue is generated = $1
Maximization of the revenue:
Steps to find the maximum revenue,
Find the equation for the revenue generated.Find the derivative of the expression for revenue and equate it to zero.Find the value of the variable and substitute it in the expression for the revenue generated.Given in the question,
Price of one cookie = p Linear relationship between the number of cookies sold 'x' and price of a cookie 'p',x = -2000p + 4000
Expression for the revenue generated = Price of one cookie × Number of cookies sold
R = p(-2000p + 4000)
R = -2000p² + 4000p
For the maximum revenue,
"Find the derivative of the expression for revenue and equate it to zero"
R' = -4000p + 4000 = 0
4000p = 4000
p = $1
For p = 1,
R = -2000(1) + 4000
R = $2000
Therefore, for the price of one cookie as $1, maximum revenue generated will be $2000.
Learn more about the maximization here,
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Calculate the slope of a line with a run of 3 and a rise of 9
Answer:
Multiply the slope by the run to calculate the rise between subsequent points. if you wanted to know the rise given a run of 3, multiply 10times 0.9 to calculate a rise of 9. Divide the rise by the slope to calculate the run.
Find Percent of Change
1.) 200 to 500.
is the answer 40?
if not please explain...
Answer: I think it is
Step-by-step explanation:
Answer:
150% increase
Step-by-step explanation:
Calculate percentage change
from V1 = 200 to V2 = 500
(V2−V1)|V1|×100
=(500−200)|200|×100
=300200×100
=1.5×100
=150%change
=150%increase
if two angles in a triangle are 40° and 30°, then the third angle measures 110
Answer:
Si
Step-by-step explanation: