Answer:
y - 9 = 22(x - 3)
Step-by-step explanation:
What is the product? (7.1×10 ^4)⋅(4.8×10 ^3)
3.408×10^7
3.408×10^8
3.408×10^12
3.408×10^13
The function BN equals 6n represents the number of light bulbs BN that are needed for n chandeliers how many light bulbs are needed for 15 chandeliers
BN =6n
n = chandeliers
you have 15 chandeliers so n = 15
so BN = 6(15)
BN = 90
you will need 90 light bulbs
Change the equation x^2+8x+y^2-12y=12 to graphing form
Jaclyn has $120 saved and earns $40 each month in allowance. Pedro has $180 saved and earns $20 a month in allowance. If they both save their entire allowances, how long will it take before Jaclyn and Pedro have saved the same amount of money?
Answer:
3 months
Step-by-step explanation:
Let after m months they saved same amount of money.
Given,
Saving of Jaclyn = $ 120,
Amount earned by him/her per month = $ 40,
So, the total amount contained by him/her in m months = Saving + earning for m months
= 120 + 40m,
Similarly, saving of Pedro = $ 180,
Amount earned by him/her per month = $ 20,
So, the total amount contained by him/her in m months = 180 + 20m
Thus, we can write,
120 + 40m = 180 + 20m
40m = 180 + 20m - 120
40m - 20m = 60
20m = 60
⇒ m = [tex]\frac{60}{20}[/tex] = 3.
Hence, it will take 3 months before which Jaclyn and Pedro have saved the same amount of money.
Linear equations can be solved by applying arithmetic operations separately for variables and constants. If they both save their entire allowances, 3 months will it take before Jaclyn and Pedro have saved the same amount of money
Let us assumed that the saving of Jaclyn and Pedro will be the same after n months.
Now, from the given data.
Saving of Jaclyn = $ 120
Amount earned by Jaclyn per month = $ 40
Total amount in hand of Jaclyn after work for n months will be the addition of current saving and the amount earned by Jaclyn after n months.
Thus,
[tex]\rm{Amount \;after \;n \;months}= 120 + 40n[/tex],
Similarly, the saving of Pedro = $ 180
Amount earned by Pedro per month = $ 20
Total amount in hand of Pedro after work for n months will be the addition of current saving and the amount earned by Pedro after n months.
Thus,
[tex]\rm{Amount \;after \;n \;months}= 180 + 20n[/tex]
According to the question,
[tex]\begin{aligned}&120 + 40n = 180 + 20n\\&40n = 180 + 20n - 120\\&40n - 20n = 60\\&20n = 60\\&n=\dfrac{60}{20}\\&n=3\end{aligned}[/tex]
Hence, If they both save their entire allowances, 3 months will it take before Jaclyn and Pedro have saved the same amount of money.
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Simplify.
(4a^5b^6)^4
^ means exponent
256a^20 b^24
256a^9 b^10
16a^9 b^10
16a^20 b^24
[tex]\text{Use}\\\\(ab)^n=a^nb^n\\\\(a^m)^n=a^{n\cdot m}\\---------------------\\\\\left(4a^5b^6\right)^4=4^4(a^5)^4(b^6)^4=256a^{5\cdot4}b^{6\cdot4}=256a^{20}b^{24}[/tex]
How is a rational number that is not an integer different from a rational number that is an integer?
if five more than three times x is equal to 32, find the value of x.
it also says to show all work so that would really be appreciated!!
Mitchell has a balance of $1,200 in his first state bank checking account. he deposits a $387.89 pay check, a $437.12 dividend check, and a personal check for $250 into his account. He wants to receive $400 in cash. How much will he gave in his account after the transaction ????
The total present money in his account after all the $400 withdrawals is $1875.01.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Total present money initially = $1200
Deposits check = 387.89 + 437.12 + 250 = $1075.01
Total money after deposit = 1200 + 1075.01 = $2275.01
Money remains after withdrawals of $400
⇒ $2275.01 - $400 = $1875.01.
Hence "The total present money in his account after all the $400 withdrawals is $1875.01".
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Len and three of his friends decide to rent a house and split the cost evenly. They each paid $725 towards the total move-in cost of first month's rent, last month's rent, and a security deposit. If rent is $800 per month, how much was the security deposit?
a.
$575
b.
$725
c.
$1,300
d.
$2,100
Answer:
its 1300
Step-by-step explanation:
Chrissy walked 550 meters in 7 minutes and 20 seconds. If each lap is 25 meters, which is Chrissy’s MOST LIKELY time per lap in seconds? *A) 20 seconds b. 22 seconds c 42 seconds d. 64 seconds
Martin drives to work at a speed of 45 miles per hour. It takes him about 2 hours and 15 minutes to get to work. If gas costs $2.75 per gallon and Marin’s car gets 25 gallons of gas per mile, about how much does Martin spend on gas to get to work? a. 3.87 b. 4.05 c. 10.64 d. 11.14
dora gets paid an hourly wage, which increases if she works over 40 hours per week. she worked a total of h hours last week, and the number of dollars she got paid was 30 ×40+45 ×(h-40). what does 45 represent in this situation?
A. the number of dollars per hour she got paid for all hours under 40
B. the number of dollars per hour she got paid for all hours over 40
C. the number of hours she worked over 40
D. the total number of hours she worked
When Angela begins her drive, she is 400 mi from home. She drives at an average of 50 mph until she gets home. Graph the situation.
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as editing) and variable costs (such as printing). There are two production methods it could use. With one method, the one-time fixed costs will total $18,853 , and the variable costs will be $19.75 per book. With the other method, the one-time fixed costs will total $64,853 , and the variable costs will be $8.25 per book. For how many books produced will the costs from the two methods be the same?
How many atoms are there in 2.50 mol of carbon dioxide? complete the response using standard scientific notation?
the correlation coefficient (r) between the number of hours worked x and the amount of money earned y is 0.456 what percent of the variation in the amount of money earned can be explained by differences in the number of hours worked
A :79.2%
B:54.4%
C:45.6%
D:20.8%
a bookstore rents books to students for $2 per book. the cost of running bookstore is $300 per hour. using a for coin flip distribution how many students would the store need to rent to break even?
Answer:
75
Step-by-step explanation:
300/4=75.
When is the sum of two complex numbers a real number? When is the sum of two complex numbers an imaginary number?
The sum of two complex numbers resulting in a real or imaginary number depends on the cancellation of their real or imaginary components upon addition.
When the sum of two complex numbers is a real number: For the sum of two complex numbers to be a real number, their imaginary parts must cancel each other out. This happens when the imaginary parts have equal magnitude but opposite signs, resulting in the cancellation upon addition.
When the sum of two complex numbers is an imaginary number: The sum of two complex numbers is an imaginary number when the real parts cancel each other out. This occurs when the real parts have equal magnitude but opposite signs, leading to the elimination of the real components.
Which one describes the translation of f(x) to g(x) ?
Answer:
a
Step-by-step explanation:
what is the value of x?
Please help me whith this it is due today.
What os a comparison of two quantities and can be written as a fraction when the two quantities have two different units?
Jeremiah is factoring 0.64t^24 - 9 by using the rule, a^2 - b^2 = (a+B)(a-b). What will he use for the value of a? A.0.08t^12 B. 0.8t^12 C. 0.64 D. 0.8 I think it's B or C... Help please!
to factor something with an exponent you need to take the square root of it
sqrt (0.64) = 0.8, sqrt(t^24) = t^12)
Answer is B
Find the distance between the points (-2, 4) and (4, -6).
2√2
2√(10)
2√(34)
Answer: The correct option is (C) 2√34.
Step-by-step explanation: We are given to find the distance between the points (-2, 4) and (4, -6).
We have the distance formula as follows :
DISTANCE FORMULA :
The distance between the points (a, b) and (c, d) is given as
[tex]D=\sqrt{(c-a)^2+(d-b)^2}.[/tex]
Therefore, the distance between the points (-2, 4) and (4, -6) is given by
[tex]D\\\\=\sqrt{(4-(-2))^2+(-6-4)^2}\\\\=\sqrt{6^2+10^2}\\\\=\sqrt{36+100}\\\\=\sqrt{136}\\\\=\sqrt{4\times34}\\\\=2\sqrt{34}.[/tex]
Thus, the required distance between the given points is 2√34 units.
Option (C) is CORRECT.
One-eleventh of all sales at Joe's Diner are for cash. If cash sales for the week were $380, what were Joe's total sales?
To find Joe's total sales when one-eleventh are cash sales amounting to $380, multiply the cash sales by 11, which results in a total of $4180.
To find Joe's total sales, one would apply the concept of proportions in mathematics. Here is a step-by-step breakdown of the problem:
Identify the fraction of total sales that are cash, which is one-eleventh.
Understand that $380 equals this fraction of the total sales.
To find the total sales, divide the cash sales by the fraction that represents cash sales 1/11
Calculate the total sales by using the following equation: Total Sales = Cash Sales / (1/11) = $380 / (1/11).
Perform the division: Total Sales = $380 * 11 = $4180.
Hence, Joe's total sales for the week were $4180.
what is the measure of each interior angle in a regular hexagon?
HELP?
Suppose Raj receives a raise for his hard work and now earns $6.25 per hour how many hours would he need to work to earn $132?
Marcus and three of his friends are guessing the radius of a circular pond. They read that the circumference is 157 ft, so they can use the equation 3.14*2r=157 to determine which of these guesses which form the replacement set {20,25,30,35} is correct?.
What is the radius of the pond?
A. 20ft
B. 25ft
C. 30ft
D. 35ft
Answer:
Option B. 25 ft
Step-by-step explanation:
we know that
The circumference of a circle is equal to
[tex]C=2\pi r[/tex]
we have
[tex]C=157\ ft[/tex]
assume
[tex]\pi =3.14[/tex]
substitute in the formula
[tex]157=2(3.14)r[/tex]
Solve for r
Divide by 2(3.14) both sides
[tex]r=157\(2(3.14))[/tex]
[tex]r=25\ ft[/tex]
-3(w-3)≥9-3w
If all real numbers can solve please tell me why
Answer: " w = (all real numbers) " —as explained below.
_________
Step-by-step explanation:
_________
Given the following "inequality":
_________
" -3(w – 3) ≥ 9 – 3w " ; Solve for "w" ;
and see if the answer ["value for "w"]; is:
"all real numbers."
_________
→ " -3(w – 3) ≥ 9 – 3w " ;
_________
Method 1):
_________
On the "right-hand side" of the "inequality";
Factor out a "(-3)" ;
_________
" -3(w – 3) ≥ ( -3 * ? = 9?) – (-3 * ? = 3w? ) " ;
_________
1) " -3 * (what value?) = 9 "?
Let "x" be the 'unknown value' :
→ " -3x = 9 " ;
Divide each side of the equation by "(-3)" ;
to isolate "x" on one of the equation;
& to solve for "x" ;
-3x / -3 = 9 / -3 ;
to get: " x = -3 " ;
_________
2) " -3 * (what value?) = 3w " ?
Let "x" be the 'unknown value' :
→ " -3x = 3w " ? ;
→ Divide each side or the equation by ("-3").
→ to isolate "x" on one side of the equation;
→ & to solve for "x" ;
-3x / 3 = 3w / -3 ;
to get: x = -1w ;
_________
So: " -3(w – 3) ≥ -3* (? = 9?) – (-3 * ? = 3w?) " ;
_________
Rewrite as:
" -3(w – 3) ≥ -3* [(-3 – (-1w)] " ;
_________
Now, let us consider the Following Portion of the "right-hand side" of the inequality:;
" (-3 – (-1w)] = " (-3 + 1w) " ;
→ {since: "subtracting a "negative value is the equivalent of adding that particular value's positive value"} ;
and bring down the "(-3)" on the "right-hand side" of the inequality; and rewrite the inequality as:
_________
" -3(w – 3) ≥ -3(-3 + 1w) " ;
→ Now, divide EACH SIDE of the inequality by "(-3)" :
{Note: Each time when one multiplies or divides an inequality by a "negative value"—the inequality sign flips to the other direction.}.
→ [ -3(w – 3)] / -3 ≥ [-3(-3 + 1w ] / -3 ;
to get:
→ " (w – 3) ≤ (-3 + 1w) " ;
_________
Note: " (-3 + 1w) " ; ↔ " [(1w + (-3)] = " 1w – 3 " = "w – 3 " ;
_________
Rewrite the inequality:
_________
→ " (w – 3) ≤ (w – 3 ) " ;
↔ " w – 3 ≤ w – 3 " ;
The same value is equal to each other: not less than or equal to each other: For instance:
→ " w – 3 ≤ w – 3 " ;
If we add "3" to each side of the equation:
→ " w – 3 + 3 ≤ w – 3 + 3 " ;
We get: " w ≤ w " . "w = w". "w is not "less than" itself. So all real numbers apply!
_________
Method 2)
_________
Given the following "inequality":
_________
" -3(w – 3) ≥ 9 – 3w " ; Solve for "w" ;
and see if the answer ["value for "w"]; is:
"all real numbers."
_________
On the "left-hand side of the inequality;
we have:
_________
" -3(w – 3) " ;
_________
Take note of the "distributive property of multiplication" :
→ " a(b + c) = ab + ac " ;
_________
As such:
_________
We can expand:
" -3(w – 3) = (-3*w) + (-3*-3) " ;
= -3w + (9) ;
_________
Now, we can rewrite the original inequality:
_________
" -3w + 9 ≥ 9 – 3w " ;
_________
Note: " -3w + 9 = 9 + (-3w) = 9 – 3w " ;
→ {since: adding a "negative value" gets the same value as subtracting that value's "positive equivalent"};
And we can rewrite our inequality as:
_________
" 9 – 3w ≥ 9 – 3w " ;
_________
Note: We have the same value on each side.
"(9 – 3w)" is not greater than itself; it is "equal to itself".
Any and all real numbers as values for "w" will result in the same value for any particular expression's Exact Same Expression!
_________
So: "w = (all real numbers)" .
_________
Hope this is helpful to you!
Best wishes!
_________
Write an equation in slope-intercept form of the line with slope 5 and y-intercept -4.
A. y = -4x + 5
B. y = 5x + 4
C. y = 5x - 4
D. 5x - y = 4
Trent spent 50 minutes at the neighbors house. He spent 2/5 of the time swimming. How many minutes did Trent spend swimming