The expressions that are equal to 6 x \(10^5\) are:
60 × 10,000
600 × 1,000
6,000 × 100
Options B, C, and E are the correct answer.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
A.
60 × 1,000
6 x \(10^{4}\)
B.
60 × 10,000
= 6 x \(10^5\)
C.
600 × 1,000
= 6 x \(10^5\)
D.
6,000 × 1,000
= 6 x \(10^6\)
E.
6,000 × 100
= 6 x \(10^5\)
Thus,
The expressions that are equal to 6 x \(10^5\) are:
60 × 10,000
600 × 1,000
6,000 × 100
Options B, C, and E are the correct answer.
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Gio weighed five boxes before he shipped them. The weights were: 52, 48, 48, 54, and 50 Which statement is true?
Answer:The mode is equal to the minimum
Step-by-step explanation:
Answer: The mode is equal to the minimum
Step-by-step explanation:
A car Costs $30,000 in 2015. What would its price have been in 2020 dollars?
Show all work
The price of the car in 2020 dollars would be $31,620.
What is price?Price is the monetary value of a good or service that a customer is willing to pay for it. It is the result of a complex interaction between the forces of supply and demand, and is determined by the market conditions of a good or service. Price is also an important factor for companies as it is one of the primary elements used to generate revenue and profits.
In order to calculate the price of the car in 2020 dollars, we must use the Consumer Price Index (CPI). The CPI is a measure of inflation over time and is used to calculate the value of a product in the current year from its value in the past.
The CPI for 2020 is 250.6, while the CPI for 2015 is 237.9. This gives us a ratio of 250.6/237.9 = 1.054.
We can then use this ratio to calculate the value of the car in 2020 dollars:
30,000 x 1.054 = 31,620.
Therefore, the car would cost $31,620 in 2020 dollars.
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what is this sphere’s volume? radius is given, please round to nearest tenth
Answer:
179.59438
rounded to the nearest tenth would be 179.6
Step-by-step explanation:
use this formula
volume = (4/3) · π · r3
During peak summer season, a whitewater rafting company
charges a 15% registration fee to reserve a 6-person raft that
rents for $90. How much is the fee?
X/10*0.24-15.5/7.5=9
Given :
\((\dfrac{X}{10}\times 0.24 )- \dfrac{15.5}{7.5} = 9\\\\\)
To Find :
The value of x.
Solution :
\((\dfrac{X}{10}\times 0.24 )- \dfrac{15.5}{7.5} = 9\\\\(\dfrac{X}{10}\times 0.24 ) = 9 + \dfrac{15.5}{7.5}\\\\(\dfrac{X}{10}\times 0.24 ) = \dfrac{(9\times 7.5 )+ 15.5}{7.5}\\\\(\dfrac{X}{10}\times 0.24 ) = \dfrac{83}{7.5}\\\\X = \dfrac{83\times 10}{7.5\times 0.24}\\\\X = 461.11\)
Therefore, the value of X is 461.11 .
What is the volume of the cylinder below?
O A. 70K units
O B. 2257, units
O C. 1757 units
O D. 357 units
Answer:
V = V = 175 pi units^3
Step-by-step explanation:
The volume of a cylinder is given by
V = pi r^2 h
V =pi ( 5)^2 ( 7)
V = 175 pi units^3
Someone help please!! I only need the questions that are circled.
Answer:
Question 8: (-4,7)
Question 10: (5,2)
Step-by-step explanation:
What are equations?:
Two mathematical expressions are equal.⇒ Example; 2x + 5 = 25 is an equation, in which 2x + 5 and 25 are two expressions separated by an equal (=) sign.What is Substitution Method?:
The value of one variable from one equation is substituted in the other equation.y = -2x - 1
3x - 4y = -40
Question 8:
3x - 4(-2x-1) = -40
3x + 8x + 4 = -40
11x + 4 = -40
11x = -44
x = -4
To find y we can substitute x into the equation.
y = -2(-4) -1
y = 8 -1
y = 7
(-4,7)
Question 8 Solution - (-4,7)
Question 10:
2x - y = 8
x = 5
Since this equation already given x we can substitution to find y.
2(5) - y = 8
10 - y = 8
-y = -2
y = 2
(5,2)
Question 10 Solution - (5,2)
Lenvy~
What is an equation of the line that passes through the point ) (8,−5) and is parallel to the line
5x+4y=24?
By rearranging the equation, we get the equation of the line parallel to 5x + 4y = 24 that passes through the point (8, -5) as y = (-5/4)x + 5.To find the equation of a line parallel to another line, we need to determine the slope of the given line.
The equation of a line can be written in slope-intercept form as y = mx + b, where m represents the slope.
To determine the slope of the given line 5x + 4y = 24, we need to rearrange the equation in slope-intercept form. First, subtract 5x from both sides: 4y = -5x + 24. Next, divide all terms by 4: y = (-5/4)x + 6. Therefore, the slope of the given line is -5/4.
Since the line we are looking for is parallel to this line, it will also have a slope of -5/4. Now we can use the point-slope form of a line to find the equation. The point-slope form is given as y - y1 = m(x - x1), where (x1, y1) represents the given point (8, -5) and m is the slope.
Substituting the values into the equation, we have y - (-5) = (-5/4)(x - 8). Simplifying further, y + 5 = (-5/4)x + 10.
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5. A conical shaped pile of sand at the beach has a base circumference of 16.5 feet
and stands 10.4 feet high. The Department of Public Works is going to remove
75% of the sand. How much sand will be left in the pile after they remove 75% of
the sand?
Answer: 18.78 cubic feet
Step-by-step explanation:
The detailed analysis is attached below.
What is five sixths divided by nine thirds?
Answer:
0.270.27777777777
Step-by-step explanation:
You draw a diagram and color each side in for both of them
20 POINTS, GET MARKED AS BRAINLIST IF RIGHT
P (B U C) is 0.1675 when B and C are independent and P (B U C) is 0 when B and C are mutually exclusive.
What Are Independent Events?An Independent Event is defined as if the outcome of one event has no bearing on the outcome of the other, the two events are said to be independent events. Or, we may say that an event is considered independent if it does not affect the probability of another event. Probability-independent events mirror actual occurrences.
Let B and C be two events such that P(B) = 0.25 and P(C) = 0.67.
To determine P (B U C),
Given that B and C are independent.
Since B and C are independent events, we can just multiply the probabilities together, 0.25 × 0.67 = 0.1675
To determine P (B U C),
Given that B and C are mutually exclusive.
Since B and C cannot both occur at the same moment by definition because they are mutually exclusive, the answer is 0.
Therefore, P (B U C) is 0.1675 when B and C are independent and P (B U C) is 0 when B and C are mutually exclusive.
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Nixon will pay for his new car in 36 monthly payments. if his car loan is for 19,061, THEN HOW MUCH will pay each month
Help please these graphs are tough.
Answer:
2 games
Step-by-step explanation:
Sanjay = $1 + $4 x amount of games
Hunter = $3 + $3 x amount of games
$1 + $4 x 2 = $9
$3 + $3 x 2 = $9
At a local drive-thru restaurant, 3 out of every 8 drinks sold are diet drinks. If the restaurant sells 4,200 drinks in one month, how many would be diet drinks?
Answer:
1575
Step-by-step explanation:
3/8 as a decimal is .375. Multiply 4200 by .375 to get your answer.
please help asap
photo attached
choices are
A. -8
B. -6
C. 0
D. 22
Find the mean. Round to the nearest tenth if necessary.
37.4, 11.7, 35.4, 18.6, 5.7, 48.8, 18.9, 30, 15.1, 26.6, 35.7, 40.2
Answer:
27
Step-by-step explanation:
The actual mean is 27.008333333333, round that as you will.
Answer:
27 is the answer
Step-by-step explanation:
Took the test and got it right
can someone help me to solve this queestion on Conditional Probability. In Evs and Life Science class, 25% of the students are boys and 75% of them are girls. The probability that boys passed in Statistics is 0.4 and the probability that girls passed in Statistics is 0.25. One student is selected at random. What is the probability that the selected student is passed in statistics?
Step-by-step explanation:
If a boy student was picked, the probability that they passed is 0.25 * 0.4 = 0.1.
If a girl student was picked, the probability that they passed is 0.75 * 0.25 = 0.1875.
Total probability = (0.1 + 0.1875) * 100% = 28.75%.
Which expressions are equivalent to 24-7? Choose all the correct answers. Show your work.
The equivalent expressions to \(24^{-7}\) are given as follows:
C. \(\left(\frac{1}{24^{-7}}\right)^{-1}\)
F. \((24^3 \times 24^4)^{-1}\)
What are are equivalent expressions?Equivalent expressions are expressions that have the same value for all possible values of the variables. In other words, equivalent expressions are different ways of writing the same mathematical idea.
The exponent in the denominator can be moved to the numerator with the changed signal, hence:
\(\left(\frac{1}{24^{-7}}\right)^{-1} = (24^7)^{-1}\)
Applying the power of power rule, we multiply the powers, hence:
\((24^7)^{-1} = 24^{-7}\)
When two terms with the same base and different exponents are multiplied, we add the bases and keep the exponents, hence:
\((24^3 \times 24^4)^{-1} = (24^7)^{-1} = 24^{-7}\)
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8 more than 5 times a number is equal to 6 more than 3 times that number.What is the number?
A. 1
B. 2
C. 3
D. 4
HELP PLs thANKS
Answer:
A. 1
Step-by-step explanation:
8 - 5x = 6 - 3x
-5x + 3x = 6 - 8
-2x = -2
divide through by -2
x = 1
Answer:
A. 1
Step-by-step explanation:
5x -8 = 3x -6
5x = 3x +2
2x = 2
x = 1
Check:
5-8 = 3-6
-3 = -3
What is the speed that a car reaches in m/s, if it travels 956km in 56sec?Help me!! MRU (Uniform Rectilinear Movement)
Answer:
17.07m/s
Step-by-step explanation:
v=d/t
d=956km
t=56sec
v=956/56
v=17.07m/s
Danielle deposited $300.00 into a new savings account that earns interest compounded continuously. After 8 years, the balance in the account
was $907.00. What was the interest rate on the account?
O 13.8%
O 12.5%
O 14.5%
O 10.1%
9n^2 - 24 + 16
please help
Answer:
lol the answer is the second one
Which of the following ratios would form a proportion with Two-thirds?
a.
Three-fourths
c.
StartFraction 12 Over 15 EndFraction
b.
StartFraction 6 Over 9 EndFraction
d.
One-third
The proportion equivalent with Two-thirds would be 6/9.
Since we know that the proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that the proportion with Two-thirds
If you actually divide it’ll make since , so first we want to divide the 2 , then you want to multiply the third of the two
2/3 x 3/3
6/9
thus, the answer will be 6/9.
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184. A student estimated a mass to be 40 g. After carefully measuring, she
found the actual mass to be 45 g. What is the percent of error?
Answer:
\(\boxed {\boxed {\sf About \ 11 \%}}\)
Step-by-step explanation:
The formula for percent error is:
\(\% \ error = | \frac{measured \ value - actual \ value }{actual \ value} | *100\)
For this, the measured value is the estimation of 40 grams. The actual value is the true mass of 45 grams.
\(measured = 40 \ g \\actual = 45 \ g\)
\(\% \ error = | \frac{40 \ g - 45 \ g }{45 \ g } | *100\)
Solve the numerator.
40 grams - 45 grams = -5 grams\(\% \ error = | \frac{-5 \ g }{45 \ g } | *100\)
Divide.
\(\% \ error = | \frac{-5 \ g }{45 \ g } | *100\)
\(\% \ error = | -0.111111111| *100\)
\(\% \ error = 0.111111111*100\\\% \ error = 11.11111 \\\% \ error \approx 11\)
The percent error is about 11%
2 + (3 + 11) =(2 + ) + 11
Answer:
16 =13
False
Step-by-step explanation:
\(2 + (3 + 11) =(2 + ) + 11\\\\2+\left(3+11\right)=\left(2\right)+11\\\\\mathrm{Simplify\:}2+\left(3+11\right):\quad 16\\\\\mathrm{Simplify\:}\left(2\right)+11:\quad 13\\\\16=13\\\\False\)
If Brooklyn College students have an IQ of 100, on average, with a standard deviation of 16 points, and I collect 48 BC Psychology students to see how Psych majors compare to all of BC, find the following:_______.
1. mu =
2. sigma =
3. mu _x bar =
4. sigma _x bar =
Answer:
1 \(\mu = 100\)
2 \(\sigma = 16\)
3 \(\mu_x = 100\)
4 \(\sigma _{\= x } = 2.309\)
Step-by-step explanation:
From the question
The population mean is \(\mu = 100\)
The standard deviation is \(\sigma = 16\)
The sample mean is \(\mu_x = 100\)
The sample size is \(n = 48\)
The mean standard deviation is \(\sigma _{\= x } = \frac{\sigma }{\sqrt{n} }\)
substituting values
\(\sigma _{\= x } = \frac{16 }{\sqrt{48} }\)
\(\sigma _{\= x } = 2.309\)
Proving Triangles congruent by ASA and AAS
Answer: Congruent by AAS
Step-by-step explanation:
FG and EH are congruent because they are given.
EH is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.
FG is perpendicular to EG because of the definition of perpendicular lines. Lines are perpendicular if they create right angles when they intersect.
Angle G is congruent to Angle E because they are both right angles, and right angles are congruent.
Angle EIH and Angle FIG are congruent because of the vertical angles theorem.
Triangle EHI and Triangle GFI are congruent by the Angle-Angle-Side Theorem, or AAS.
Find the equation of the line that is parallel to 2y = 3(2 - 3x) and passes
through the point of intersection of the lines y = x + 8 and y = - 3x + 4.
To find the equation of the line that is parallel to 2y = 3(2 - 3x) and passes through the point of intersection of the lines y = x + 8 and y = -3x + 4, we need to follow these steps:
Step 1: Find the point of intersection of the lines y = x + 8 and y = -3x + 4.
Step 2: Determine the slope of the line 2y = 3(2 - 3x) (which is parallel to the desired line).
Step 3: Use the slope from step 2 and the point of intersection from step 1 to find the equation of the desired line using the point-slope form.
Let's go through each step:
Step 1: Find the point of intersection of the lines y = x + 8 and y = -3x + 4.
To find the point of intersection, we need to solve the two equations simultaneously:
y = x + 8 ...(Equation 1)
y = -3x + 4 ...(Equation 2)
We can set Equation 1 equal to Equation 2:
x + 8 = -3x + 4
Now, solve for x:
4x = -4
x = -1
Substitute the value of x into either Equation 1 or Equation 2 to find the corresponding y-value:
y = -1 + 8
y = 7
So, the point of intersection is (-1, 7).
Step 2: Determine the slope of the line 2y = 3(2 - 3x).
The given equation is 2y = 3(2 - 3x). We can rewrite it in slope-intercept form (y = mx + b) by dividing both sides by 2:
y = (3(2 - 3x))/2
y = (6 - 9x)/2
y = 3 - (9/2)x
The slope of this line is -(9/2).
Step 3: Use the slope from step 2 and the point of intersection from step 1 to find the equation of the desired line using the point-slope form.
The point-slope form of a linear equation is given by y - y₁ = m(x - x₁), where (x₁, y₁) is a point on the line and m is the slope.
Using the point (-1, 7) and slope -(9/2), we can write the equation as:
y - 7 = -(9/2)(x + 1)
Now, simplify and rewrite it in the slope-intercept form:
y - 7 = -(9/2)x - 9/2
y = -(9/2)x - 9/2 + 7
y = -(9/2)x + 5/2
Therefore, the equation of the line parallel to 2y = 3(2 - 3x) and passing through the point of intersection of the lines y = x + 8 and y = -3x + 4 is y = -(9/2)x + 5/2.
PLEASE HELP ON QUESTION ASAP! 30PTS!
I WILL ALSO GIVE YOU A THANKS RATE YOU FIVE STARS AND MAYBE EVEN BRAINLIEST any silly answeres will be reported / deleted
Hiba needs 40g sugar to make 15 biscuits. she also needs three times as much flour as sugar . Hiba is going to make 60 biscuits . work out the amount of flour she needs .
Brand A has a box of 25 forks for 1.99 and Brand B has a box of 42 totals for 3.89. What is the unit price for each brand and what brand is a better buy based on unit price
Answer:
Brand A
Step-by-step explanation:
Brand A has a box of 25 forks for 1.99
Take the price per fork
1.99 /25 = .0796
.08 per fork
Brand B has a box of 42 totals for 3.89
3.89 / 42
.092319048
.09 per fork