Answer:8.2 x 10^5
Step-by-step explanation:
Susan bought three video games at one price
and 2 videos priced $2 below the others. The
total cost was $91.50. Find the prices of the
video games.
The price of first 3 video games is $57.3 and the other 2 videos games is $34.2 in the given arithmetic problem.
What is arithmetic problem?The study and use of numbers, mathematical relationships between numbers, and mathematical observations are all covered by the branch of mathematics known as arithmetic.
The core ideas in number theory, measurement, and computation are typically referred to as "arithmetic" (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots). It hasn't always meant the same thing, though, in the mathematical community.
Susan bought total 5 games
Lets the higher price be x
and lower be y
3x + 2y = $91.50
and
x - y = $2
x = 2 + y
Putting the value of x in first formula
3(2 + y) + 2y = 91.50
6 + 3y + 2y = 91.50
3y + 2y = 91.50 - 6
5y = 85.5
y = 85.5/5
y = 17.1
2y = 34.2
Putting the value of y in x
x = 2 + (17.1)
x = 19.1
3x = 57.3
Thus, the price of first 3 video games is $57.3 and the other 2 videos games is $34.2.
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) Emily baked a cake in 42.5 minutes. She finished making dinner 9 1/10 minutes sooner than the cake. How long did it take her to make dinner? Hint: Change the 9 1/10 to a decimal
It took Emily 33.4 minutes to make dinner.
Define a mixed number?A mixed number is a kind of fraction that also has a proper fraction and a whole number. The number of whole units is represented by the whole number, and the fraction of a unit is represented by the proper fraction.
To solve the problem, we have to convert the mixed number \(9 \frac{1}{10}\) to a decimal number:
⇒ \(9 \frac{1}{10} = 9 +\frac{1}{10} = \frac{(9*10)+1}{10}\)
⇒ \(\frac{91}{10}\) = 9.1
This means that Emily finished making dinner 9.1 minutes sooner than the cake.
To find out how long it took Emily to make dinner, we can subtract 9.1 from the cake baking time:
⇒ 42.5 - 9.1 = 33.4 minutes
Therefore, it took Emily 33.4 minutes to make dinner.
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What is the decimal multiplier to decrease by 8. 4%
Answer:
0.916
Step-by-step explanation:
100-8.4
91.6%
solve for me please
(5xy+3x-7)+(3xy-xy+3y+4)
Answer:
Step-by-step explanation:
7xy+3x+3y−3
What is the value of x?
A) x = 32
B) x = 36
C) x = 37
D) x = 40
Step-by-step explanation:
x + (4x - 20) = 180
5x - 20 = 180
5x = 180 + 20
5x = 200
x = 200/5
x = 40°
Option → D
Answer:
\(x = 40\)
Answer D is correct
Step-by-step explanation:
Angles in a straight line is added up to 180°
Therefore,
\(x + 4x - 20 = 180 \\ 5x - 20 = 180 \\ 5x = 180 + 20 \\ 5x = 200 \\ \frac{5x}{5} = \frac{200}{5} \\ x = 40 \degree\)
Hope this helps you.
Let me know if you have any other questions:-):-)
solve the inequality. graph your solution
6(y+1)>6
Step-by-step explanation:
\(6(y + 1) > 6 \\ 6y + 6 > 6 \\ 6y > 0 \\ y > 0\)
A sales analyst listed the probabilities of profits and losses in dollars for a certain company. Find the mean, µ for the probability distribution.
x P(x)
-500 0.076
-250 0.191
0 0.265
250 0.316
500 0.152
Answer:
The mean is \(\mu = 69.25\)
Step-by-step explanation:
We are given the following distribution:
P(x = -500) = 0.076
P(x = -250) = 0.191
P(x = 0) = 0.265
P(x = 250) = 0.316
P(x = 500) = 0.152
Find the mean, µ for the probability distribution.
To find the mean, we multiply each outcome by its probability. So
\(\mu = -500*0.076 - 250*0.191 + 0*0.265 + 250*0.316 + 500*0.152 = 69.25\)
The mean is \(\mu = 69.25\)
Complete the table of values for the equation 4x + 2y =64
The completed table of values for the equation 4x + 2y = 64 is provided .
To complete the table of values for the equation 4x + 2y = 64, we can assign different values to x and solve for y. Let's choose a range of values for x and calculate the corresponding values of y.
Table of Values:
x y
0 32
4 28
8 24
12 20
16 16
20 12
24 8
28 4
32 0
To find the values of y, we substitute each x-value into the equation and solve for y. For example, when x is 0, we have 4(0) + 2y = 64, which simplifies to 2y = 64 and y = 32. Similarly, for x = 4, we have \(4(4) + 2y = 64\), which simplifies to \(16 + 2y = 64\) and\(y = 28.\)
By continuing this process for the remaining values of x, we can complete the table of values for the equation 4\(x + 2y = 64.\)
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210 To rationalize the denominator of 3/11 you should multiply the expression by which fraction? 10 2-V10 2-10 3-V11 3-11
To rationalize the denominator of the expression (2√10)/(3√11) it is necessary to multiply by a number that contains √11 in a denominator.
From the given option, you can notice that such a number is √11/√11.
Then, it is necessary to multiply by √11/√11
the answer is actually 81
Answer:
okay i'll keep this in mind
Step-by-step explanation:
What’s the correct answer for this?
Answer:
36
Step-by-step explanation:
In circle with center O,
\( chord\overline {EF} \cong chord\overline {WV}... (Given) \)
Since, congruent chords are equidistant from the center of the circle.
\( \therefore PG = GO\\
\therefore - x +10 = - 3(x+2)\\
\therefore - x + 10 = - 3x - 6\\
\therefore 3x - x = - 6-10\\
\therefore 2x = - 16\\\\
\therefore x = \frac{-16}{2} \\\\
\huge \red {\boxed {\therefore x = - 8}} \\\\
\because \overline {PO} = \overline {PG} + \overline {GO} \\
\therefore \overline {PO} = - x + 10 + \{-3(x + 2)\}\\
\therefore \overline {PO} = - x + 10 - 3x - 6\\
\therefore \overline {PO} = - 4x + 4 \\
\therefore \overline {PO} = - 4\times (-8)+ 4 \\
\therefore \overline {PO} =32+ 4 \\
\huge \orange {\boxed {\therefore \overline {PO} =36}} \\\)
Which of the following is an equivalent expression to 2x+2x+3y+y
A.4x + 2y
B.4xy
C.x+y
D.4x + 4y
Answer:
D. 4x + 4y
Step-by-step explanation:
2x + 2x = 4x
3y + y = 4y
So, 4x + 4y is the answer!
Mike spent 11/12 hour talking on his cell phone. Brent spent 7/12 hour talking on his cell phone. How much more time did mike spend on his cell phone than Brent?
Write in the simplest form. Be sure to put your answer as well as the unit (hour).
Answer:
1/3
Step-by-step explanation:
Select a personal or professional example of a measurement you use routinely. Convert the measurement either from U.S customary units to metric units, or from metric units to U.S. customary units. You may choose more than one measurement and may choose among weight, length, temperature, etc. Show each step of your conversion and be sure to include all units from the original and converted measurements (for example, yards to meters, degrees Celsius to degrees Fahrenheit).
A personal example of a measurement I use routinely is converting weight from U.S. customary units to metric units. Let's convert pounds to kilograms.
To convert pounds to kilograms, we use the conversion factor of 1 pound = 0.453592 kilograms.
For example, if I have a weight of 150 pounds, I can calculate the equivalent weight in kilograms as follows:
150 pounds * 0.453592 kilograms/pound = 68.0388 kilograms
Therefore, 150 pounds is approximately equal to 68.0388 kilograms.
In this conversion, we multiply the weight in pounds by the conversion factor to obtain the weight in kilograms. By using the appropriate conversion factor, we can accurately convert weights from U.S. customary units to metric units.
It's important to note that conversion factors may vary slightly depending on the rounding used and the exact value of the conversion factor.
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2(x+4)=-5x+1 please show work
Answer:
x=3
Step-by-step explanation:
2x-8=-5x+1
collect like terms
2x-5x=1-8
=-3x=-9x=3A 3-column table with 4 rows. Column 1 has entries Computer repair, sales tax, gratuity, shipping. Column 2 is labeled Store A with entries 1,200 dollars, 6 percent, 15 percent, Free. Column 3 is labeled Store B with entries 1,350 dollars, 7 percent, 15 percent, 2 percent of total price. How much sales tax will be charged at Store B?
94.50 it's right because i got it wrong for yall so it's right
Answer:
your answer is 94.50
Step-by-step explanation:
i got it right
100 Points! Algebra question. Graph the function. Photo attached. Thank you!
The cost of each pound of grass seed is $6.
A graph of the solution for the cost of each pound of grass seed is shown below.
How to determine the cost of each pound of grass seed?In order to determine the cost of each pound of grass seed, we would assign a variable to the cost of each pound of grass seed and then translate the word problem into an algebraic linear equation.
Let the variable x represent the cost of each pound of grass seed.
Since Lori bought 3.6 pounds of grass seed and she was charged $22.90, including a tax of $1.30, an algebraic linear equation that best represent this situation is given by;
3.6x + 1.30 = 22.90
3.6x = 22.90 - 1.30
3.6x = 21.60
x = 21.60/3.6
x = $6.
In conclusion, we would sue an online graphing calculator to plot the solution for the cost of each pound of grass seed as shown in the image attached below.
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A rectangle has a length 3x + 1 of and a width of Write an expression for the 3-9
perimeter of the rectangle.
The expression for the perimeter is P = 12x - 16
How to write an expression for the perimeter?The given parameters are
Length = 3x + 1
Width = 3x - 9
The perimeter is calculated as
P = 2 * (Width + Length)
So, we have
P = 2 * (3x + 1 + 3x - 9)
Evaluate
P = 2* (6x - 8)
Expand
P = 12x - 16
Hence, the expression for the perimeter is P = 12x - 16
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Please help will mark Brainly
The number 312.8 is 34% of x. What is the value of x
Answer:
Step-by-step explanation:
312,8/(34/100)
=920,00000
This is the answer
100% = 920
Can i be brainliest have a nice day
The value of x rounded to the nearest whole number is 920.
What are Percentages?A percentage is a way to describe a part of a whole such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given that the number 312.8 is 34% of x.
Thus, we can write,
34% of x = 312.8
(34/100) × x = 312.8
Now, Multiply both the sides of the equation by 100,
(34/100) × x × 100 = 312.8 × 100
Now, Divide both the sides of the equation by 34,
[(34/100) × x × 100] ÷ 34 = (312.8 × 100) ÷ 38
x = (312.8 × 100)/34
x = 920
Therefore, the value of x rounded to the nearest whole number is 920.
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good night lol
what ever..........
Answer:
night.....
Step-by-step explanation:
..............
Find the sum of: 7a² - 9a + 5 and 11a + a² + 8
Answer:
Add them:
Squares to squares, a to and number to number:
8a^2+3a+13
The simplified sum of the given expressions 7a² - 9a + 5 and 11a + a² + 8 is 8a² + 2a + 13.
To find the sum of the expressions 7a² - 9a + 5 and 11a + a² + 8, we simply combine like terms.
The given expressions contain terms with different powers of "a."
Combining the terms with the same powers, we have:
7a² + a² = 8a² (the coefficient for the "a²" term is 7 + 1 = 8)
-9a + 11a = 2a (the coefficient for the "a" term is -9 + 11 = 2)
Finally, we combine the constant terms:
5 + 8 = 13
Putting it all together, the sum of the expressions 7a² - 9a + 5 and 11a + a² + 8 is:
8a² + 2a + 13
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write a real-world situation that could be modeled by the equation 8+2x=6x. Then solve the problem.
Answer:
x = 2
Step-by-step explanation:
8 = 6x + -2x
8 = 4x
8 = 4x
4 4
2 = x
A ceramics teacher orders 5 blocks of gray clay for every 3 blocks of red clay.
How many blocks of gray clay will the teacher order if she orders 15 blocks of red
clay? *
17
20
25
28 ( plz help if you can)
Answer:
25
Step-by-step explanation:
trust me it's right it might be easier if you use paoer
PLEASE HELP ASAP
A quadrilateral is _____a parallelogram.
Sometimes
Never
Always
Answer:
A) Sometimes
Step-by-step explanation:
quadrilateral=4 sided figure
paralellogram=4 sided figure with 2 pairs of parallel sides
a trapezoid is a quadrilateral but not a parallelogram
a square is a quadrilateral and a parallelogram
3^4 x 10^6
What is the answer ??
Wendy will have new carpet installed on her rectangular bedroom floor. The floor is 15 feet in length and 12 feet in width. The carpet costs $27.50 per square yard, and installation costs $4.15 per square yard. Which statement about the total cost of the carpet and installation is true?
a. The total cost is $379.80 since $31.65×12 = $379.80.
b. The total cost is $633.00 since $31.65×20 = $633.00.
c. The total cost is $474.75 since $31.65×15 = $474.75.
d. The total cost is $4,950.00 since $27.50×180 = $4,950.00
Answer: The statement "d. The total cost is $4,950.00 since $27.50×180 = $4,950.00" is incorrect.
The first step is to convert the dimensions of the floor from feet to yards. Since 1 yard = 3 feet, the length of the floor is 15 feet / 3 feet/yard = 5 yards, and the width of the floor is 12 feet / 3 feet/yard = 4 yards. The total area of the floor is 5 yards * 4 yards = 20 square yards.
The total cost per square yard for carpet and installation is $27.50 + $4.15 = $31.65.
The total cost for carpet and installation for the entire floor is 20 square yards * $31.65/square yard = $633.00.
So, the statement "b. The total cost is $633.00 since $31.65×20 = $633.00" is correct.
Step-by-step explanation:
You are making snack bags to sell at the fair. You want each bag to contain the same combination of carrot and celery sticks. You have 75 carrot sticks and 40 celery sticks and want to use them all.
What is the greatest number of snack bags you can make
The greatest number of snack bags is 10.
Highest Common Factor:The largest of all the common factors between two or more numbers is known as the Highest Common Factor (HCF). It is also known as the Greatest Common Element (GCF).
HCF is a fundamental method that allows you to equally distribute items throughout a group or set.
We can use the idea of HCF to determine the same when you are organizing a party and want to make sure that nothing is wasted or you require a proper calculation.
Here we have
Number of carrots = 75
Number of celery sticks = 40
Here we are making snack bags such that each bag contains the same combination of carrot and celery sticks.
To find the greatest number of snack bags we need to find HCF of 70 and 40 as given below
Write given numbers as the product of prime numbers
=> 70 = 2 × 5 × 7
=> 40 = 2 × 2 × 2 × 5
List out the common factors
=> 2 × 5
=> HCF (70, 40) = 10
Therefore,
The greatest number of snack bags is 10.
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2/a - 6 = 12
= 12
Nejekernammd
Answer:
what's the question xjsbzbksns
Answer:
what r u asking?
Step-by-step explanation:
Use the pair of functions to find f(g(x)) and g(f(x)). Simplify your answers.
f(x)= 1= ² + 4
X-4
To find f(g(x)), we need to substitute g(x) into the function f(x). Given that g(x) = x - 4, we substitute it into f(x) as follows:
\(f(g(x)) = f(x - 4) = (x - 4)^2 + 4\)
To simplify this expression, we can expand the square:
\(f(g(x)) = (x - 4)(x - 4) + 4\\ = x^2 - 8x + 16 + 4\\ = x^2 - 8x + 20\)
Therefore, f(g(x)) simplifies to\(x^2 - 8x + 20.\)
Next, let's find g(f(x)). We substitute f(x) into the function g(x):
\(g(f(x)) = g(1/x^2 + 4) = 1/x^2 + 4 - 4\\ = 1/x^2\)
Hence, g(f(x)) simplifies to 1/x^2.
In summary, f(g(x)) simplifies to\(x^2 - 8x + 20\), and g(f(x)) simplifies to 1/x^2.
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