Which phrase could be represented by this expression?
k/5 + 8
or
k over 5 + 8
eight more than a fifth of a number
five times a number plus eight
eight more than five times a number
one-fifth of the sum of a number and eight
The value of -4 2 is _____. pls help
The value of -4 squared (-4^2) is -16 because the exponent only applies to 4, not the negative sign. To include the negative in the exponent, use parentheses like (-4)^2 = 16.
Explanation:The value of -4^2 is -16. This is because the exponent applies only to the number 4 and not the negative sign in front of the 4. In other words, -4^2 means -(4*4) which is -16. To make the negative part of the base, the operation should be placed in parentheses like (-4)^2 = 16.
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The complete question is given below:
The value of -4^2 is _____.
Solve the following system of equations algebraically for all values of x,y and z
x+3y+5z=45
6x-3y+2z=-10
-2x+3y+8z=72
The system of equations x+3y+5z=45, 6x-3y+2z=-10, -2x+3y+8z=72 can be solved algebraically to get the values x=6, y=12, z=-1.
Explanation:First, we can combine the first and the second equations and the first and third equations to cancel out y.
Doing so, we get: x+3y+5z+6x-3y+2z=45-10 and x+3y+5z-2x+3y+8z=45+72
The new equations simplify to 7x+7z=35 and -x+13z=117
Next, we can divide the first new equation by 7 to get x+z=5. Subtract x from both sides to get z=5-x.
Substitute z=5-x into the second equation to find the value of x.
Performing these substitutions gives x=6. Substituting x=6 back into the equation z=5-x gives z=-1.
Finally, we substitute x=6 and z=-1 back into the original equations to solve for y: y=(45-6-5(-1))/3 = 12
So, x=6, y=12, z=-1 are the solutions to the system of equations.
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A public pool charges a membership fee of $50 and a fee for each visit. Every time you go to the pool, it costs $2.50.
a. Write an equation to represent your total cost c for v visits.
b. How much will it cost if you go to the pool 22 times? *PLEASE SHOW YOUR WORK*
Answer:
A. C=2.50v
B. C=2.50x22
C=55
Step-by-step explanation:
On a hike, each hiker carries the items shown. Write an expression in simplest form that represents the weight (in pounds) carried by x hikers. Interpret the expression.
A hiker has the following items:
A sleeping bag that weighs 3.4 lb
A Camping bag that weighs 4.6 lb
And a water bottle that weighs 2.2 lb.
The expression would be:
3.4x + 4.6x + 2.2x = x
Where x is the weight that each x hikers are carrying.
You just need to add the three items and the answer would be 10.2 pounds.
We want to find the total weight that each hiker carries by adding the weights of all individual items that they carry. And then we want an expression for the total weight that x hikers carry.
These items can be seen in the image at the end of the answer.
We will see that the total weight carried by x hikers is given by:
W(x) = (10.2lb)*x
--------------------------------
First, let's find the weight that each hiker carries.
Each hiker carries:
Sleeping bag of 3.4 lb.Backpack of 4.6 lb.Water bottle of 2.2 lb.The total weight is:
T = 3.4 lb + 4.6 lb + 2.2 lb = 10.2 lb
Then if each hiker carries 10.2 lb of weight, and there are x hikers, the total weight carried by them will be x times 10.2 lb
We have:
W(x) = (10.2lb)*x
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Graph y=−56x−4 .
Use the line tool and select two points on the line.
The two points on the line y = − 56x − 4 will be (1, −60) and (−1, 52).
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
y = − 56x − 4
Let x = 1, the value of y will be
y = − 56 (1) − 4
y = − 56 − 4
y = − 60
Let x = − 1, the value of y will be
y = − 56(−1) − 4
y = 56 − 4
y = 52
The two points on the line y = − 56x − 4 will be (1, −60) and (−1, 52). Then the diagram of the line is given below.
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WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!
describe the relationship between: the domain, relation, and range
Relations are subsets of products A×BA×B where AA is the domain and BB the codomain of the relation.
A function ff is a relation with a special property: for each a∈Aa∈A there is a unique b∈Bb∈B s.t. ⟨a,b⟩∈f⟨a,b⟩∈f.
This unique bb is denoted as f(a)f(a) and the 'range' of function ff is the set {f(a)∣a∈A}⊆B{f(a)∣a∈A}⊆B.
You could also use the notation {b∈B∣∃a∈A[⟨a,b⟩∈f]}{b∈B∣∃a∈A[⟨a,b⟩∈f]}
Applying that on a relation RR it becomes {b∈B∣∃a∈A[⟨a,b⟩∈R]}{b∈B∣∃a∈A[⟨a,b⟩∈R]}
That set can be labeled as the range of relation RR.
At 1 pm you have 24 megabytes of a movie at 1:15 PM you have 96 megabytes. What is the download rate in megabytes per minute? (Show work)
Natalie walked 3/5 mile in 1/2 hour how fast did she walk in miles per hour
The speed of Natalie in miles per hour is 1.2 mph.
The given parameters;
distance covered by Natalie, d = 3/5 miletime of motion of Natalie, t = 1/2 hourThe speed of Natalie in miles per hour is obtained by dividing the distance covered by Natalie by the time of motion.
The value of this speed is calculated as;
[tex]speed = \frac{distance }{time} \\\\speed = \frac{3/5}{1/2} = \frac{3\times 2}{5} = \frac{6}{5} = 1.2 \ mph[/tex]
Thus, the speed of Natalie in miles per hour is 1.2 mph.
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Help me please 2. You learn from your science teacher that water expands when you freeze it. The next time that you freeze your water bottle, you leave room for the water to expand so that the bottle does not crack. What kind of reasoning did you use? inductive reasoning deductive reasoning algebraic reasoning direct reasoning I think the answer is b
could someone help please thx
Evaluate the expression 3(7 + 4)2 − 14 ÷ 7. 50 361 363 586
What is the answer to this? I don’t
list all the possible numbers:
10 - cant be divisible by 0
11 - can be divided by 1 and 1
12 - can be divided by 1 and 2
13 - cant be divided by 3
14 - cant be divided by 4
15 - can be divided by 1 and 5
16 - cant be divided by 6
17 - cant be divided by 7
18 - cant be divided by 8
19 - cant be divided by 9
20 - cant be divided by 0
21 - cant be divided by 2
22 can be divided by 2 and 2
23 - cant be divided by 3
24 - can be divided by 2 and 4
the numbers are 11, 12, 15, 22 and 24
You buy a movie for 19.99 and a set of earphones for 12.49 how much is the bill before taxes
Answer:32.39
Step-by-step explanation: cost of movie is 19.9
Cost of earphone is 12.49
Adding both cost is 19.9+12.49
=32.39
The cost before tax deduction is 32.39
3. For ΔFHG, find the measure of the smallest angle, ∠HFG, if m∠ GHF = 92° and m∠HGF =
72°
Answer: The Answer is 16
The scale on a map is 2cm = 15miles. Dave measures the distance to the next town at 7cm. How many miles away is the next town?
Answer:
[tex]52.5\ miles[/tex]
Step-by-step explanation:
we know that
The scale on the map is equal to
[tex]\frac{2}{15}\frac{cm}{miles}[/tex]
so
by proportion
Find how many miles are [tex]7\ cm[/tex] on the map
[tex]\frac{2}{15}\frac{cm}{miles}=\frac{7}{x}\frac{cm}{miles}\\ \\x=15*7/2\\ \\x=52.5\ miles[/tex]
Is 0.3 a good estimate for 1/3 ??
Explain your reasoning
Kinda stuck on this please help thank you so much
If 45 cookies will serve 15 students, how many collies are needed for 30 students?
42-24 divide 6 ; value 3
The result of the expression 42-24 divided by 6, calculated using the 'Order of Operations' rule, is 38.
Explanation:You've asked to solve this mathematical expression: 42-24 divided by 6. To do this correctly, we must follow the 'Order of Operations,' often remembered by the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
In your problem, the operations are Subtraction and Division. Following the PEMDAS rule, we perform Division before Subtraction. Therefore, first perform 24 divided by 6, which is 4. Then, subtract that result from 42. In the end, 42 minus 4 gives us 38 as the final answer.
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Liz earns a salary of $2,100 per month, plus a commission of 5% of her sales. She wants to earn at least $2,400 this month. Write an inequality to find the amount of sales that will meet her goal. Identify what your variable represents.
A student had to multiply 328 x 41. The student’s answer was 4,598. Use estimation to explain why this answer is not reasonable
to rent a car,the fast company charges $75 per day plus $0.05 per mile. how many miles did mrs.kline drive if the cost of renting the car was $ 92.40?
Due to fire laws, no more than 720 people may attend a performance at Metro Auditorium. The balcony holds 120 people. There are 32 rows in the ground floor each for the same number of seats write an inequality to find the numbers of people that can sit in a ground floor row if the balcony is full. Identify what your variable represents.
F(n) = 1.25n + 6.25 ; 25 the explicit rule for a sequence and one of the specific terms is given find the postion of the given term
A pair of running shoes cost $22.29. The store owner wanted to make a profit of $18.50. What should be the shoes’ selling price?
Final answer:
The selling price for the running shoes should be $40.79 to include the cost price of $22.29 and the desired profit of $18.50.
Explanation:
To calculate the selling price of the running shoes to achieve a desired profit of $18.50, we simply add the cost of the shoes to the desired profit.
The cost of the shoes is $22.29, and the store owner wants to make a profit of $18.50.
Therefore, the selling price should be:
Cost of shoes: $22.29
Desired profit: +$18.50
Total selling price: $40.79
The store owner should set the selling price at $40.79 to make a profit of $18.50 on the pair of running shoes.
With the 20% off coupon, Alexis received a discount of $15 on her shoes. What was the regular price of her shoes before the 20% off coupon was applied? Justify your answer using equations, models, and/or words to explain your mathematical reasoning. Answer
How can the difference 13-(-24)be rewritten as a sum with the correct solution? Explain?
A: (-13) + (-24) = -37
B: 13 + (-24) = -11
C: (-13) + 24 = 11
D: 13 + 24 = 37
The three seventh grade classes at Sunview Middle School collected the most boxtops for a school fundraiser. They won a $600 prize to share among them. Mr. Aceves’ class collected 3,760 box tops, Mrs. Baca’s class collected 2,301, and Mr. Canyon’s class collected 1,855. How should they divide the money so that each class gets the same fraction of the prize money as the fraction of the box tops that they collected? Explain your reasoning.
Answer: The share would be approximately $285, $175, $141 respectively.
Step-by-step explanation:
Since we have given that
Number of box tops collected by Mr. Aceves's class = 3760
Number of box tops collected by Mrs. Baca's class = 2301
Number of box tops collected by Mr, Canyon's class = 1855
We first find the ration of box tops of Mr. Aceves, Mrs. Baca and Mr. Canyon respectively:
3760:2301:1855
Total = 3760+2301+1855=7916
Total amount to be share among them as a prize = $600
Mr. Aceves's share is given by
[tex]\dfrac{3760}{7916}\times 600\\\\=284.99\\\\\approx 285[/tex]
Mrs. Baca's share is given by
[tex]\dfrac{2301}{7916}\times 600\\\\=175.08\\\\\approx 175[/tex]
Mr. Canyon's share is given by
[tex]\dfrac{1855}{7916}\times 600\\\\=140.60\\\\\approx 141[/tex]
Hence, the share would be approximately $285, $175, $141 respectively.
58 1/3 ÷ 6 2/3 equals what?