Answer:
[tex]x=-6[/tex]
Step-by-step explanation:
[tex]9\left(x+3\right)=4x-3[/tex]
Expand:
[tex]9x+9\times3=4x-3[/tex]
[tex]9x+27=4x-3[/tex]
Subtract 27 from both sides:
[tex]9x+27-27=4x-3-27[/tex]
[tex]9x=4x-30[/tex]
Subtract 4x from both sides:
[tex]9x-4x=4x-30-4x[/tex]
[tex]5x=-30[/tex]
Divide both sides by 5:
[tex]\frac{5x}{5}=\frac{-30}{5}[/tex]
[tex]x=-6[/tex]
Find the perimeter of the square in the coordinate plane below. Round your answer to two decimal places.
Answer:
11.31 units
Step-by-step explanation:
Find the distance of line segments AB, BC, CD, AD using the distance formula.
e
rational
irrational
Answer:
irrational
Step-by-step explanation:
All pictures are below please help Sandi had the following problem on her math test: . She showed her work on the test as follows: Given: Step 1: Step 2: Step 4: Step 5: In at least two paragraphs, explain the steps Sandi took to arrive at her answer. If she made any errors in her process clearly explain what she did wrong and how she could have made the error. If there is an error, provide the correct steps in your explanation of Sandi’s work. Use correct math terminology wherever appropriate.
Answer:
the answer is 6
Step-by-step explanation:
hope this helps!!!
Answer:
18
Step-by-step explanation:
6 × 4 + 2 ÷ 2 - 7
24 + 1 - 7
25 - 7
= 18
thanks
solve 9 = 4 + x ( show your work )
Answer:
x = 5
Step-by-step explanation:
1. 9 = 4 + x
2. 9 - 4 = 4 + x - 4
3. 5 = x
5. There are two kinds of products (called DA and GA) produced in your company every day. Alsothere are two kinds of materials (denoted by A and B) in need One DA costs one unit of A, one unit of B: one GA costs one unit of A, two units of B. You get $3000 when you sell one DA and $5000 for one GA. The supply of the two materials every day is 12,22. a)What is the maximal profit $ b) How many DA and GA should be produced every day to obtain this maximal profit? Number of DA = Number of GA
Answer:
a) $56000b) DA = 2, GA = 10Step-by-step explanation:
Given
DA = A + B ⇒ $3000GA = A + 2B ⇒ $5000Number of A = 12Number of B = 22We can see from the equations that
GA - DA = B ⇒ $2000 andA = $1000 and B = $2000 in terms of profitSo greater use of unit B brings greater profit. We don't want any unit is left over, so get this equation.
A + B = 12A + 2B = 22Is the equation set to indicate use of the units A and B
Solving we get
A = 2 and B = 10It this case all the units are used and profit is maximum
2*$3000 + 10*$5000 = $56000Number of DA = 2Number of GA = 10At 6 am, the temperature was 73 degrees Fahrenheit. By noon, then temperature had rose 8 degrees. At 4 pm, the temperature was 5 degrees warmer than it was at noon. By 9 pm, the temperature had dropped 16 degrees. What was the temperature at 9 pm?
Answer:
70 degrees Fahrenheit
Answer:
70
Step-by-step explanation:
We started at 73 degrees and the temperature rose by 8 degrees so 73 + 8 = 81. At 4 pm, the temperature rose again by 5 degrees so 81 + 5 = 86. By 9 pm, the temperature dropped 16 degrees so 86 - 16 = 70, Therefore, the temperature at 9 pm was 70 degrees.
Identify the domain and range of the function. Enter your answers as numbers in the boxes; do not include units. Enter the range values in ascending order separated by commas inside the curly brackets. Age Admission Price under 5 free 5-17 $25 18-64 $40 65 and over $35 What is the range?
Answer:
When we have a function y = f(x)
The set of the possible values of x is called the domain, and the set of the possible values of y is called the range.
In this case, we have:
x = age, and y = price.
x y
< 5 $0
5 - 17 $25
18 - 64 $40
≥ 65 $35
Then the range is the possible age of the customer, and it goes for all the possible ages (as whole numbers)
So the domain will be the set of all the positive integers:
D = {1, 2, 3, 4, 5, ...}
(of course, we can not have an age equal to 1300 or infinity, but we really can not cap the domain)
The range is the possible values of y, in this case is discrete, because we have only 4 possible prices, so the range is:
R = {$0, $25, $40, $35}
125 is.a perfect square or perfect cube
Answer:
Perfect cube
Step-by-step explanation:
5 x 5 x5 = 125
5x5= 25
25x5 =125
Answer:
It is a perfect cube with sides of 5.
Step-by-step explanation:
If 125 was a perfect square, there would be a whole number A which, squared, would give us 125.
[tex]A^2 = 125\\A = \pm 11.18...[/tex]
We can see that the roots are not whole numbers.
(Tip: without a calculator, we can find this by testing [tex]10^2 \ 11^2\ 12^2[/tex] to see if any give us 125. We get 100, 121, 144 respectively. None of them is 125.)
If it was a perfect cube, there would be a whole number B which, cubed, would give us 125.
[tex]B^3 = 125\\B = \sqrt[3]{125} \\B = 5[/tex]
As we can see, there IS a whole number B: 5 !
(Without a calculator, like the previous one, we could try [tex]4^3\ 5^3\ 6^3[/tex] and we'd find that [tex]5^3[/tex] = 125)
Answer: It is a perfect cube with sides of 5.
HELP!! Need Help With My Homework!
Answer:
x + 4 = 9 + 2x - 15
Step-by-step explanation:
Since, E is between F and G.
Therefore,
FG = EF + EG
x + 4 = 9 + 2x - 15
x + 4 = 2x - 6
4 + 6 = 2x - x
10 = x
or
x = 10
3. A company makes a profit of $60 per software program and $45 per video game. The company can produce at most 300 software programs and at most 200 video games per week. Total production cannot exceed 400 items per week. How many items of each kind should be produced per week in order to maximize the profit? Use linear programming to solve. Show all your work. Answer:
Answer:
Step-by-step explanation:
This problem is a maximization problem
the objective is to maximize profit
let software program be x
and video program be y
the objective function is
60x+45y>P-------1
constrains
300x+200y<400------2
we can further reduce the expressions
3x+2y<4-----2
Find the complement of the set given that U = {x | x ∈ I and −3 ≤ x ≤ 7}. (Enter your answers as a comma-separated list.) {x | x ∈ W and x < 5}
Huh?? Can u attach a picture or some
The table shows the blood types of 75 donors after a one-day blood drive. Based on results, what is the chance that a random donor has type A blood? Blood Type A B AB Frequency 31 33 9 2 31 33 25 75
Answer:
33
Step-by-step explanation:
I am did my diagnostic too.
The required chance of that a random donor has type A blood is given as 11/25. Option B is correct.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Total blood donor = 31 + 33 + 9 + 2 = 75
Donors has type A blood = 33
Now, the chance that a random donor has type A blood,
= Donors has type A blood / Total blood donor
= 33 / 75
= 11 / 25
Thus, the required chance of that a random donor has type A blood is given as 11/25.
Learn more about probability here:
brainly.com/question/14290572
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Can anyone help me with this?
Answer:
a
Step-by-step explanation:
-3/7(x-52) given x=10
Answer:
18
Step-by-step explanation:
-3/7 * ( x-52)
Let x = 10
-3/7 ( 10-52)
-3/7 * -42
-3 * -42/7
-3 * -6
18
Four relatives are going to give you money for your birthday. The amount each relative gives you is equally likely to be any number between $0 and $200. The chance that the total amount of money you receive is at most $300 is
8. John is in a club that collects annual dues. In the first year that he was a member, he paid $20 in club dues. However, the club dues increase by $2 each year. Identify the function that describes the relationship between the number of years that John has been a member of the club and the dues he pays that year.
options:
A. f(n) = 20 + 2(n – 2)
B. f(n) = 20 + 2(n + 1)
C. f(n) = 20 + 2(n – 1)
D. f(n) = 20 + 2n
Answer: C) f(n) = 20 + 2(n - 1)
Step-by-step explanation:
The explicit formula is: [tex]a_n=a_1+d(n-1)[/tex] where
[tex]a_1[/tex] is the first termd is the difference between consecutive termsGiven: In the first year he paid $20 --> [tex]a_1[/tex] = 20
Dues increase $2 each year --> d = 2
[tex]a_n[/tex] = 20 + 2(n - 1)
Answer:
C f(n) = 20 + 2(n – 1)
Step-by-step explanation:
got it right on test
(6 - 9)(-2) = 6(-2) - 9(-2) Group of answer choices True False
Answer:
False
Step-by-step explanation:
A new computer is on sale for 1/5
off the original price. If the original price of the computer is $1495, what is the
sale price?
$1794
$1196
$1288
$299
Answer: $299
Step-by-step explanation:
divide the original price by 5
Sale price of the computer is equals to $299.
What is sale price?" Sale price is defined as the discounted price at which goods are sold."
According to the question,
Original price of the computer = $1495
Price decided on sale of a computer = [tex](\frac{1}{5})[/tex] Original price of the computer
Substitute the value to get the sale price of a computer we get,
Sale price of a computer = [tex]\frac{1}{5} (1495)[/tex]
= $299
Hence, sale price of the computer is equals to $299.
Learn more about sale price here
https://brainly.com/question/25101522
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How do you simplify 8^3
Steps to solve:
8^3
~Simplify
8 * 8 * 8
~Multiply all
4,096
Best of Luck!
Solve each expression using the correct order of operations,
7- 5 + 3 x 10
Answer:
28 is your answer
Step-by-step explanation:
you start with multiplication and continue with addition and then go to subtraction
Answer:
32
Step-by-step explanation:
3×10 comes first because BIDMAS : brackets () indeces divide ÷ multiply× addition + subtraction -
So 30
7-5+30 = 32
Divide 2.9 x 107 by 6.9 x 103 by using scientific notation. Round your answer to one decimal place in scientific notation with no spaces
What type of number is 3π+1?
Answer:
irrational
Step-by-step explanation:
I hope it helped you!!
Answer:
10.42478
Step-by-step explanation:
The area of the Pacific Ocean is more than 60 million square miles.
What is that in scientific notation?
6x 10^-7
6x10^7
60 x 10^-6
60x10^6
Answer:
60x10^6
Step-by-step explanation:
If B is between A and C, and AB = x and BC = 12, and AC = 25, then find the value of AB.
AB = ?
3(2x² + 4x+6)
Helpppppp
Answer:
6x2+12x+18
Hope that helps :)
Step-by-step explanation:
Answer:
hey what are you doing i think is 6x2+12x+18
Ms. Bailey is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $6 for each child ticket. Ms. Bailey spends $46.00 at the movies. Write and solve an equation to determine the number of child tickets Ms. Bailey purchases.
Please include the Variable, Equation, and the Solution
Answer:
Ms. Bailey purchases 6 children tickets
Step-by-step explanation:
x=number of adult tickets
y=number of children tickets
10x+6y=46
plug in what you know
10(1)+6y=46
10+6y=46
subtract 10 from both sides
6y=36
divide both sides by 6
y=6
6 children tickets
What is the value of x?
Answer:
35 degrees
Step-by-step explanation:
180-95=85
180-(85+60)=35
andrews bank account changed by -$50 after making four equal withdrawals. how much was each withdrawal
Mr. Stewart bought a new battery for his car. The battery cost $72. Since batteries are a taxable item, he had to pay a sales tax of 7.5%. What was the total cost of the battery in dollars and cents?
Mr. Stewart spent $77.40 on his new car battery.
Answer: $77.40
Step-by-step explanation:
First you take the 7.5% and turn it into a decimal and to do that you have to divide 7.5 by 100 which gives you .075. You then multiply 72 by .075 to know how much money you will pay with tax and you get $5.40. then you add $5.40 to $72 to get the total coast of the battery, which is $77.40.
The total cost of the battery was $77.40.
Kathy read 296 pages of her 590−page novel in 10 days. How many pages per day must she now read in order to complete the book and return it within the library's 17−day deadline?
Answer:
The answer is 42 pages per day.
Step-by-step explanation:
The answer is 42 because 590 minus 296 equals 294 and since the deadline is 17 days and he has done 10 already then 294 divided by 7 equals 42.