Answer:
The length of a rectangle is 5 centimetres longer than twice its width. If the perimeter of the rectangle is 88 centimetres, what is the width?
width=x
length=2x+5
perimeter=88=2L+2W
so half perimeter=44=L+W
x+2x+5=44
3x=39
x=13 cm width ANSWER
2x+5=31 cm length
The width of the rectangle is Width, W = 13 centimeters.
Let the length of the rectangle be L. Let the width of the rectangle be W.Given the following data:
Perimeter of rectangle = 88 centimetersTranslating the word problem into an algebraic equation, we have;
[tex]L = 2W + 5[/tex]
To find the width of the rectangle;
Mathematically, the perimeter of a rectangle is given by the formula;
[tex]P = 2(L + W)[/tex]
Substituting the values into the formula, we have;
[tex]88 = 2(2W + 5 + W)\\\\88 = 2(3W + 5)\\\\88 = 6W + 10\\\\6W = 88 - 10\\6W = 78\\\\W = \frac{78}{6}[/tex]
Width, W = 13 centimeters.
Therefore, the width of the rectangle is Width, W = 13 centimeters.
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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.
solve integers -32+ 10
Answer:
-22
Step-by-step explanation:
You have to add -32+10
and you will get the answer -22
Answer:
-22
Step-by-step explanation:
On a number line, negative numbers go left and posative numbers go right. So on a numberline, if you find -32 and jump ten spaces to the right, you land on -22
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.
The graph of a function must be linear if it has what characteristic?
It passes through the origin. It crosses the x-axis more than once.
It crosses the y-axis exactly once
It has a constant slope.
Answer:
It has a constant slope.
Step-by-step explanation:
A linear function graphs as a straight line. It will have a constant rate of change.
It has a constant slope.
Answer:
D. It has a constant slope on Edg2020
Step-by-step explanation:
Hope this helps!!! Have a great day!!!
Can anyone help me with this?
Answer:
a
Step-by-step explanation:
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.
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
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.
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Complete the expressions to find the perimeter P of a rectangle that is 7 inches long by 5 inches wide.
P21+2
-2.7+
20
15
Answer:
[tex] P = 2*7 + 2*5 [/tex]
[tex] P = 14 + 10 [/tex]
[tex] P = 24 inches [/tex]
Step-by-step explanation:
Lenght (l) of rectangle = 7 inches
Width (w) of rectangle = 5 inches
Perimeter (P) of rectangle is given as [tex] P = 2l + 2w [/tex]
Plug in the values of l and w into the formula:
[tex] P = 2*7 + 2*5 [/tex]
Multiply each
[tex] P = 14 + 10 [/tex]
Add together
[tex] P = 24 inches [/tex]
What’s the area of the walk?
A circular flower bed is 21 m in diameter & has a circular sidewalk around it 2 m wide. (Use pi as needed in answer)
what is 100000x 0
asdfssfddkddnssnbsbdbbdbbdbdbbdbbdbdbbbdvvddbdd. dbdbddbdbbbdbbd
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
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
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
e
rational
irrational
Answer:
irrational
Step-by-step explanation:
Question 1 of 5
Select the correct answer.
Function k is a transformation of the parent exponential function f. What are the domain and range of function ?
kid) = -2
Domain: {5 € R1-00
Range: {y E RI y <0}
Domain: {r €R! -
Range: {y < R.y=}
Domain: {5 € R1-00 <= coo}
Range: {y e RI-
Domain: {i e RI-00 <
Range: {y € R. y > }
Submit
Answer:
It's all in the picture. good luck :)
Step-by-step explanation:
Domain : R
Range : ( - ∞, 0)
(Refer the image attached for complete question)
We have the following function -
k(x) = [tex]-2^{x}[/tex]
We have to determine its domain and range.
What do you mean by domain and range of a function?For any function y = f(x), Domain is the set of all possible values of y that exists for different values of x. Range is the set of all values of x for which y exists.
According to question, we have -
k(x) = [tex]-2^{x}[/tex]
for x = 0, the function k(0) = 1
The function k(x) has the exponential function ([tex]e^{x}[/tex]) as its parent function.
If we plot the graph of the function k(x), it will look like as shown in the figure attached.
The graph of the function k(x) = [tex]-2^{x}[/tex] is the reflection of the graph [tex]2^{x}[/tex] along x - axis.
The Domain of the function k(x) : R
The Range of the function k(x) : ( - ∞, 0)
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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
(6 - 9)(-2) = 6(-2) - 9(-2) Group of answer choices True False
Answer:
False
Step-by-step explanation:
What is 40% of 50,000
Step-by-step explanation:
this is your answer...........
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.
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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
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.
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}
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
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
i’m not sure if this is right??
Answer:
I think its right
Step-by-step explanation:
thats what I got too
(2/3)^3(1/5•2/3)^-3(1/5)^4
PLS HELP
Answer:
1/5
Step-by-step explanation:
You have to do whats in the parentheses first then you start doing to exponets from left to right then you would multiply then you would get your answer 1/5.
Which display makes it easier to find that the interquartile range is 4 songs?
Choose 1 answer:
A
The dot plot
B
The box plot
Answer:
The box plot
Step-by-step explanation:
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:
If B is between A and C, and AB = x and BC = 12, and AC = 25, then find the value of AB.
AB = ?