Answer:
c) 4
Step-by-step explanation:
4x +2 - 7 = x + 7
4x - x = 7 -2 + 7
3x = 12
x = 4
What is the answer to this combination lock
Answer: 375
Step-by-step explanation:
Ruling out each number:
6: In the first two rows, the 6's placement did not change but the clue did, meaning that it is talking about a different number. Otherwise, it would say it's in the right place twice or in the wrong place twice.
3 & 5: Since we know 6 is already ruled out, both 5 & 3 would have to be correct.
2 & 4 & 8: Is proven wrong in the 4th clue.
7: 7 would have to be in the middle since the second clue says it's in the wrong place. If it was 1, it would say it's in the right space.
1: Is proven wrong after 7 is proven true.
Figuring out placement:
5: For the first clue, it says that it's in the correct place meaning that 5 is the last digit.
3: For both of the times 3 appears, it is in the wrong spot, revealing that it's the first digit.
7: In the second clue, it could either be 1 or 7. However, since 3 took the first spot and 5 took the last spot, 7 would have to be in the middle since the clue says it's in the wrong place. If it was 1, it would say it's in the right space.
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.Two rental car companies are running specials this month. At Ronald's Rentals, customers will pay $44 to rent a mid-sized car for the first day, plus $6 for each additional day. At Morristown Rent-a-Car, the price for a mid-sized car is $42 for the first day and $8 for every additional day beyond that. At some point, renting from either one of the companies would cost a customer the same amount. How many additional days would that take? How much would the customer pay?For additional days, the customer would pay $ either way.
We will have one equation for each company.
Let the total cost be y and the number of additional days be x.
Then, for Roland's Rentals, we will have a total cost of 44 plus 6 times the nunmber of additional days, that is:
\(y=44+6x\)And for Morristown Rent-a-Car we will have a totl cost of 42 plus 8 times the number of additional days, that is:
\(y=42+8x\)So, the system of equations is:
\(\begin{gathered} y=44+6x \\ y=42+8x \end{gathered}\)Finding the solution is the same as finding the number of additional days, x, will give the same cost, y, for both.
To solve, we can substitute the first equation into the second:
\(\begin{gathered} 44+6x=42+8x \\ 44-42=8x-6x \\ 2=2x \\ 2x=2 \\ x=1 \end{gathered}\)And now, we can input this solution into either equation to find the cost:
\(\begin{gathered} y=44+6\cdot1 \\ y=44+6 \\ y=50 \end{gathered}\)Thus, for 1 additional day, the customer would pay $50 either way.
What is the perimeter of square whose diagonal has a length of
18 radical 2 feet?
Answer:
72ft
Step-by-step explanation:
(18\(\sqrt{2\\}\)) ^2 = 648
648/2=324
Root 324=18
18*4=72
9514 1404 393
Answer:
72 feet
Step-by-step explanation:
The diagonal of a square is √2 times the side length, so you have ...
diagonal = s·√2 = 18√2
Dividing by √2 gives ...
s = 18
The perimeter of a square is 4 times the side length, so is ...
P = 4s = 4(18) = 72
The perimeter is 72 feet.
Select two of the following that represent the solution set of the given equation.
x^4-5x^2=3x^2+48
Answer:
Step-by-step explanation:
How do you factor x2 + 2xy + y2 -2^4
Answer:
try this answer x2 + 2xy + y2 - 16
The sum of three consecutive natural numbers is 939, find the numbers. The three numbers in increasing order are _______, ________, and _________
Answer:
312, 313, and 314
Step-by-step explanation:
Since the three numbers are consecutive, each one is one larger than the last. Therefore, we can express them as x, (x+1), and (x+2). Therefore:
\(x+(x+1)+(x+2)=939 \\\\3x+3=939 \\\\3x=936\\\\x=312\\\\x+1=313\\\\x+2=314\)
Hope this helps!
Solve each equation 3y - 4 = 6 - 2y
Answer:
y = 2
Step-by-step explanation:
3y - 4 = 6 - 2y
+2y +2y
5y - 4 = 6 (new equation)
+4 +4
5y = 10 (new equation)
/5 /5
y = 2
I dont understand how to do this precalc question
Answer:
x-intercept: (-0.1, 0)Horizontal Asymptote: y = -3Exponential growth(First answer option)
Step-by-step explanation:
General form of an exponential function
\(y=ab^x+c\)
where:
a is the initial value (y-intercept).b is the base (growth/decay factor) in decimal form:Given exponential function:
\(y=4(10)^x-3\)
x-interceptThe x-intercept is the point at which the curve crosses the x-axis, so when y = 0. To find the x-intercept, substitute y = 0 into the given equation and solve for x:
\(\begin{aligned}& \textsf{Set the function to zero}:& 4(10)^x-3 &=0\\\\& \textsf{Add 3 to both sides}:& 4(10)^x &=3\\\\& \textsf{Divide both sides by 4}:& 10^x &=\dfrac{3}{4}\\\\& \textsf{Take natural logs of both sides}:& \ln 10^x &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Apply the power log law}:&x \ln 10 &=\ln\left(\dfrac{3}{4}\right)\\\\& \textsf{Divide both sides by }\ln 10:&x&=\dfrac{\ln\left(\dfrac{3}{4}\right)}{\ln 10} \\\\& \textsf{Simplify}:&x&=-0.1\:\:\sf(1\:d.p.)\end{aligned}\)
Therefore, the x-intercept is (-0.1, 0) to the nearest tenth.
AsymptoteAn asymptote is a line that the curve gets infinitely close to, but never touches.
The parent function of an exponential function is:
\(f(x)=b^x\)
As x approaches -∞ the function f(x) approaches zero, and as x approaches ∞ the function f(x) approaches ∞.
Therefore, there is a horizontal asymptote at y = 0.
This means that a function in the form \(f(x) = ab^x+c\) always has a horizontal asymptote at y = c.
Therefore, the horizontal asymptote of the given function is y = -3.
Exponential Growth and DecayA graph representing exponential growth will have a curve that shows an increase in y as x increases.
A graph representing exponential decay will have a curve that shows a decrease in y as x increases.
The part of an exponential function that shows the growth/decay factor is the base (b).
If b > 1 then it is an increasing function.If 0 < b < 1 then it is a decreasing function.The base of the given function is 10 and so this confirms that the function is increasing since 10 > 1.
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A car wash had to make sure their soap lasted 2 days. If they only have one sixth of a gallon of soap, how much should they use each day so it lasts 2 days?
Answer:
1/12th
Step-by-step explanation:
so if you dived 1/6 by 2 you get 1/12 so if you use 1/12 for 2 days then you use 1/6 gallons of soap.
Hoped this helped
(9) There are 18 elephants in a herd. The number of adult elephants is two times the number of young elephants in the herd. How many adult elephants are in the herd?
Answer:
6
Step-by-step explanation:
6 + (6x2) = 18
I just took random numbers from 1 -10 so no clear explanation. I am really sorry!!
louisa cuts 7 pieces of yarn. each piece is 28 hundredths meters long. what is the total length of yarn louisa cuts?
Answer:
216
Step-by-step explanation:
Here, we are required to find the total length of yarn louisa cuts?
Number of pieces of yarn = 7
Length of each piece of yarn = 28 hundredths meters long.
Tenth = 0.1
Hundredth = 0.01
Thousandth = 0.001
28 hundredths = 28 × 0.01
= 0.28
Therefore,
Length of each piece of yarn = 0.28 meters long
Total length of yarn louisa cuts = 0.28 meters long × 7 pieces
= 1.96 meters long
In conclusion,
Total length of yarn louisa cuts is 1.96 meters long
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Which of the following angle pairs
are
NOT congruent?
Answer:
<2 and <8
Step-by-step explanation:
Which shows the correct way to
calculate the percent change if the
original value of your stock was $750
and the new value of your stock is
$1,000?
A. (1,000+ 750)/750 = 230%
B. (750-1,000)/1,000 = -25%
C. (1,000-750)/750 = 33%
The correct way to calculate the percent change between the original value of $750 and the new value of $1,000 is option C.
C. (1,000 - 750)/750 = 250/750 = 1/3 ≈ 0.3333 = 33.33%
Therefore, the correct answer is option C, which represents a percent change of approximately 33.33%.
i realy need help with this: 2 2/3 divided by 9
Answer:
8/27
Step-by-step explanation:
2 2/3 = 8/3
8/3 divided by 9 =
8/3 x 1/9 =
8/27
The diameter of a circle is 22 m. Find its area to the nearest whole number.
Answer:
380
Step-by-step explanation:
The formula for the area of a circle is A = pi r^2
radius is half the diameter so you would do 11 (half of diameter) to the second power, which is 121. Now you would do 121 times pi, which would be 380.132711084. When rounded to the nearest whole, it is 380.
SORRY IF THIS DIDN'T MAKE SENSE!
21x² - 2x + 1/2 =0
find the following quadratic equation by factorization method
PLESE SOMEONE HELP
Step-by-step explanation:
21x²-2x +1/2 = 0
x² - 2x ×21 + 1/2× 21 = 0
( using the quadrata formula solve 282 +15% +750
Step-by-step explanation:
Q.282 +15% +750
282 +15 /100+750
282+3/20+750
1032+3/20
20643/20
In ΔXYZ, y = 500 inches, � m∠Y=117° and � m∠Z=10°. Find the length of z, to the nearest inch.
The length of z in the triangle is 97 inches.
How to find the side of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
Therefore, let's find the side z of the triangle XYZ using sine law as follows:
a / sin A = b / sin B = c / sin C
Hence,
500 / sin 117 = z / sin 10
cross multiply
500 sin 10 = z sin 117
divide both sides by sin 117
z = 500 sin 10 / sin 117
z = 86.8240888335 / 0.89100652418
z = 97.4410774411
Therefore,
z = 97 inches
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The linear equation when b= 5 and m = -2 is O y = 5x – 2. Oy= 5x + 2. y = -2x - 5. O y = -2x + 5
Answer:
y = -2x + 5
General Formulas and Concepts:
Algebra I
Slope-Intercept Form: y = mx + b
m - slope b - y-interceptStep-by-step explanation:
Step 1: Define given
y-intercept b = 5
Slope m = -2
Step 2: Write function
y = -2x + 5
Evaluate the expression
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Answer:
11
Step-by-step explanation:
Substituting the values of x, y, and z into the expression, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.
Answer:
11
Step-by-step explanation:
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Substituting the given values of x, y, and z, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.
BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).
Since the mode is the most frequently occurring data value, it
Select one:
a. is always larger than the mean
b. can never be larger than the mean
c. must have a value of at least two
d. is always larger than the median
e. None of these answers is correct.
Any answer without justification will be rejected automatically.
The correct answer is option (e): None of these answers is correct.
The statement "the mode is the most frequently occurring data value" is true. However, none of the options provided accurately describes the relationship between the mode and the mean.
The mode and the mean are different measures of central tendency and can have different values. There is no general rule or guarantee that the mode will always be larger or smaller than the mean. The relationship between the mode and the mean depends on the specific dataset and its distribution. Therefore, none of the provided options correctly describes the relationship between the mode and the mean.
Tell what whole number you can substitute for z in the following list so the numbers are ordered from least to greatest.
1/x, x/3, 80%
The whole number that can be substituted for z is 1.
The whole number you can substitute for zTo order these numbers from least to greatest, we need to first find a value for x that makes the expressions comparable.
1/x can be rewritten as 0.01/x
80% can be written as 0.8
So, the list becomes:
0.01/x, x/3, 0.8
To compare 0.01/x and x/3, we can cross-multiply and simplify:
0.01/x < x/3
0.01*3 < x^2
0.03 < x^2
x > sqrt(0.03)
Since x has to be a whole number, the smallest possible value for x is 1.
So, substituting x = 1, the list becomes:
0.01, 1/3, 0.8
Ordering these from least to greatest, we get:
0.01, 0.8, 1/3
Therefore, the whole number that can be substituted for z is 1.
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Write an expression for the sequence of operations described below.
raise 3 to the 9th power, then add the result to j
Do not simplify any part of the expression.
An expression for given sequence of operations is: j + 3^9
In this question, we need to write an expression for the sequence of operations described below.
raise 3 to the 9th power, then add the result to j
Consider the part of given statement,
raise 3 to the 9th power
We write this as: 3^9
then we add this result to j.
So, we get an expression: 3^9 + j
Therefore, an expression for given sequence of operations is: j + 3^9
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Question 7 of 25Which histogram represents the following data?16, 19, 24, 11, 20, 32, 14, 29, 17, 22, 13, 31
Find the frequency of each class:
11-15:
Data: 11,14,13
Frequency: 3
16-20:
Data: 16,19,20,17
Frequency: 4
21-25:
Data: 24,22
Frequency: 2
26-30:
Data: 29
Frequency: 1
31-35:
Data: 32,31
Frequency: 2
Then, the histogram that represents the given data is:
I purchased $12.79 of products. The sales tax is 6.25Paid 6.25%. What is the amount of tax for the purchases?
Based on the cost of the purchases of products and the sales tax rate, the amount of tax for the purchases is $0.80
How to find the sales tax amount?The amount of taxes on a purchase made such as the purchases of products in the question can be found by multiplying the purchase value of the products by the sales tax percentage.
The sales tax is therefore:
= Sales tax percentage x Purchases value of the products
Solving for the sales tax amount gives:
= 12.79 x 6.25%
= 12.79 x 0.0625
= 0.799375
= $0.80
In conclusion, the amount of tax for the purchases is $0.80.
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8.
Gym-A-Rama charges $10 for a one-month trial membership. After the trial month, the
regular membership fee is $12 per month. Write an equation in point-slope form that
represents the total cost of a gym membership.
Answer:
In slope format, that would be y = 12x + 10
Step-by-step explanation:
A mountain bike is priced at $413. If the sales tax is 6.5 percent, what is the cost to purchase the mountain bike? Round to the
nearest cent if necessary.
$26.85
$28.91
$437.78
$439.85
answer: D) 439.85
Step-by-step explanation:
we are given the price of the bike which is $413.
we are also given the sales tax which is 6.5%.
sales tax is added to the original price to give us our total. so in order to find the total cost we need to find what the 6.5% sales tax is and add it to our original price. to find the sales tax number in dollars we need to set up our formula. The easiest formula is to use a proportion. X is out of 413 = 6.5% is out of 100%. X/413=6.5/100. We can then cross multiply then divide. 6.5 times 413=2,684.5. then divide 2684.5÷100= 26.845.
we need to round up to the nearest cent since we are working with dollars and cents 26.85. 26.85 is 6.5% of the price of the bike which is 413. Now we just simply add the tax to the original price and we get the cost. 413+26.85=439.85
Answer: The answer is D) 439.85
Step-by-step explanation:
Find the radius and diameter of each of the circles .
Answer:
Step-by-step explanation:
Diameter of the Circle refer to a line passing through the centre and meets the circumference at opposite ends. And it twice as long as Radius.
1) Radius is given 3yd
so, diameter is double of radius 2*3=6yd
Radius= 3yd
Diameter=6yd
2) Diameter is given 92 in
so, radius is half of diameter 92/2= 46 inch
Radius= 46 in
Diameter= 92 in
3) Radius is given 23 ft
so, diameter is double of radius 23*2 = 46 ft
Radius = 23 ft
Diameter = 46 ft
4) Diameter is given 36 in
so, radius is half of diameter 36/2 = 18 in
Radius = 18 in
Diameter = 36 in
5) Radius is given 19 ft
so, diameter is double of radius 19*2 = 38 ft
Radius = 19 ft
Diameter = 38 ft
6) Diameter is given 12yd
so, radius is half of diameter 12/2 = 6yd
Radius = 6yd
Diameter = 12yd
What is the cube root of -729a^9b^6
a.-9a^3b^2
b.-9a^2b^3
c.-8a^3b^2
d.-8a^2b^3
\(\displaystyle\bf\\\sqrt[3]{-729a^9b^6}=\\\\=\sqrt[3]{\Big(-1\Big)^3\times\Big(9\Big)^3\times\Big(a\Big)^{3\times3}\times\Big(b\Big)^{2\times3}}=\\\\\\=\sqrt[3]{\Big(-1\Big)^3\times\Big(9\Big)^3\times\Big(a^3\Big)^3\times\Big(b^2\Big)^{3}}=\\\\\\=(-1)\times9\times a^3\times b^2=\\\\=\boxed{\bf-9a^3b^2}\\\\Correct~answer\!:~~~a)\)
A cyclist traveled 140 miles each day for 6 days if he cycled for 8 hours each day what was the unit ratio of miles per hour
Answer:
Step-by-step explanation:
the cyclist traveled 140 miles, each day, for 8 hours
in a day he traveled 140/8=17.5 miles per hour