The sum of two numbers is 60. The larger number is 18 more than the smaller number. What are the numbers?
name the property the equation illustrate -5+(8+10)=(-5+8)+10
Why is the polynomial, 4x^2y + 5xy classified as a 3rd degree binomial?
What is 74 divided by 3
The value is 24 1/3
How to determine the valueFirst, we need to know that division is an arithmetic operation that is the result of a divisor and a dividend
We have other arithmetic operations, such as;
AdditionSubtractionMultiplicationDivisionBracketparenthesesFrom the information given, we have that;
74 divided by 3
This is represented as;
74/3
Divide the values
24 1/3
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6.
(08.02 MC)
Which graph best represents the solution to the following pair of equations?
y = 4x + 2
y = x + 5 (1 point)
The demand for a new electric guitar causes a music store to increase the price of the guitar by 45%. If the guitar originally costs $320, what is the new price of the guitar?
Answer:
The new price of the guitar would be $464.00
Step-by-step explanation:
The original price of the guitar = $320
The music store increased the price of guitar by = 45%
First we calculate 45% of the 320 and then add it to the original price.
The new price of the guitar = 320 + ( 45% × 320 )
= 320 + ( 0.45 × 320 )
= 320 + 144
= $464
The new price of the guitar would be $464.00
Find the values of x and y that make k || j and
m || n.
The values of x and y are 80 and 70 respectively which make k parallel to j and m parallel to n.
Geometrically, parallel means two or more lines, line segments, or rays that never intersect or cross each other, it doesn't matter how far they are extended. Parallel lines always maintain the same distance between them and remain equidistant at every point.
The sum of two adjacent angles is [tex]180^o[/tex],
therefore,
[tex](x-30)^o+(x+50)^o= 180^o[/tex]
2x +20 = 180
2x = 180 - 20
2x = 160
[tex]\frac{2x}{2} = \frac{160}{2}[/tex]
x = 80.
Again, as the sum of two adjacent angles is [tex]180^o[/tex],
[tex](x-30)^o+y^o= 180^o[/tex]
x + y = 180 + 30
Substitute value of x,
80 + y = 150
y = 150 - 80
y = 70.
Thus, x = 80 and y = 70 are the values for which k is parallel to j and m is parallel to n.
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how do you solve (x+3)-15=7(x-2)+8
Select each quadrilateral that has exactly four right angles.
trapezoid
isosceles
trapezoid
parallelogram
rhombus
rectangle
Answer:
Square, and Rectangle
Step-by-step explanation:
the others don't have a 90 degree angle
What scale factor(s) will produce an image that is larger than the original? I. 0.86 II. 116% III. 9 over 5
Scale factors greater than 1 will produce an image larger than the original.
Explanation:The scale factor that will produce an image larger than the original is any scale factor greater than 1.
I. 0.86: This scale factor is less than 1, so it will make the image smaller.II. 116%: This scale factor is greater than 1, so it will make the image larger.III. 9 over 5: This scale factor is greater than 1, so it will make the image larger.Learn more about Scale factors here:https://brainly.com/question/35553153
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Which graph shows a plot of the complex number i − 2?
Given:
Complex number: i − 2?
i - 2 is \(-2 + i\) in standard form. So, the point is 2 left and 1 up from the origin and the graph that shows a plot of the complex number i – 2 is the second graph. Please see attached image for the graph.
To add, expressing a number in the form a + bi, whereas the real numbers are b an a, while i is the imaginary unit (which satisfies the equation i2 = −1) is called a complex number. a is called the real part of the complex number, and b is called the imaginary part In the given expression.
After a devastating winter, when thousands of fish died, an environmental scientist has replenished the trout stock in a fishing pond. He started with 5,000 baby trout and has finished a count to find that, in 4 years, the population is estimated to be 8,500. Assuming an exponential growth pattern, what is the annual growth rate (rounded to the nearest tenth of a percent) of the new trout population?
The annual growth rate of the new trout population is approximately 12.0%.
Explanation:To find the annual growth rate of the trout population, we can use the exponential growth formula:
P = P0ert
where P is the final population, P0 is the initial population, r is the annual growth rate, and t is the number of years.
In this case, we have P = 8,500, P0 = 5,000, and t = 4. Plugging these values into the formula, we can solve for r:
8,500 = 5,000e4r
Divide both sides by 5,000:
1.7 = e4r
Take the natural logarithm of both sides:
ln(1.7) = 4r
Divide both sides by 4:
r ≈ ln(1.7)/4 ≈ 0.120
Final answer:
The annual growth rate of the trout population is calculated using the formula for exponential growth. By substituting the given values into the formula, the growth rate is determined to be approximately 13.41% per year. After rounding, the annual growth rate is 13.4%.
Explanation:
To calculate the annual growth rate of the trout population, we can use the formula for exponential growth, which is P = P0e(rt), where:
P is the final population size,
P0 is the initial population size,
r is the annual growth rate,
t is the time in years.
We know that P0 = 5,000 (initial population), P = 8,500 (final population), and t = 4 years. To find r, we rearrange the formula to solve for r:
r = (ln(P/P0)) / t
Plugging in the values gives us:
r = (ln(8500/5000)) / 4 = ln(1.7) / 4 ≈ 0.1341 or 13.41% per year
Rounding to the nearest tenth of a percent, the annual growth rate is 13.4%.
You are a member of a darts team and they have won $1750 prize money in a competition. $70 is to be saved for a celebration party; the remainder is to be divided equally between the 14 team members
Jeremy finds a set of plans to build a model airplane. Most, but not all, of the lengths given in the plans are direct measurements. According to the plans, each horizontal stabilizer of the tail wing is made from a right triangle. The length of the leg of the triangle that touches the plane is AB = 8 inches, and cosA=817. To find the number of inches each horizontal stabilizer extends from the plane, find BC.
John paid $50 for renting a cycle for 5 hours. Which graph shows the relationship between the cost of renting a cycle for different hours?
Answer:
for ever 1 hour the price goes up by ten
Step-by-step explanation:
In a set of integers between 18 and 95, inclusive, how many are divisible by 6 but not 12?
Which statement could be used to explain why f(x) = 2x – 3 has an inverse relation that is a function?
Answer:
f(x) is a one to one function
Step-by-step explanation:
write general rule for adding
a. two integers with the same sign.
b. two integers with different signs.
c. two integers that vary in sign.
When adding integers, if the signs are the same, add the numbers and keep the sign. If the signs are different, subtract the smaller number from the larger number, using the sign of the larger number.
Explanation:To offer some general rules for adding integers, consider the following scenarios:
When we add two integers with the same sign, we add the absolute values of the numbers and keep the common sign. For example, (-4) + (-3) equates to -7, as they are both negative. If we are combining two integers with different signs, we subtract the smaller number from the larger number and use the sign of the larger number. For instance, 7 + (-2) equals 5, because 7 is larger and positive. When adding two integers that vary in sign, it suggests that one number could be positive and the other negative or vice-versa. Thus, we follow the second rule mentioned above. For example, -6 + 3 gives -3 because 6 is bigger and negative. Learn more about Adding Integers here:
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How many numbers between 1 and 100 are multiples of both 2 and 7
There are 7 numbers between 1 and 100 that are multiples of both 2 and 7.
Explanation:To find the numbers between 1 and 100 that are multiples of both 2 and 7, we need to find the common multiples of these two numbers. The multiples of 2 are 2, 4, 6, 8, 10, and so on. The multiples of 7 are 7, 14, 21, 28, and so on.
We can see that the common multiples of 2 and 7 are 14, 28, 42, 56, 70, 84, and 98. There are a total of 7 numbers between 1 and 100 that are multiples of both 2 and 7.
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HELP I'M BEING TIMED FOR THIS TEST!!!
Which applies the power of a product rule to simplify (5t)^3?
A. (5t)^3 =5t^3
B. (5t)^3 = 3(5t) = 15t
C. (5t)^3 = 5^3 t^3 = 125t^3
D. (5t)^3 = 5^3t = 125t
9. Jane has a checkbook balance of $68.00. She then writes two checks, one for $5.00 and one for $62.50. She also deposits $75.00. She then uses her calculator to determine her new balance. Which of the following is the correct series of keys she should press? A. [ON/C] [68] [+] [75] [=] [5] [=] [62.50] [=] B. [68] [+] [75] [–] [62.50] [–] [5] [=] C. [ON/C] [68] [–] [5] [–] [62.50] [+] [75] [=] D. [68] [+] [75] [–] [5] [–] [62.50] [=]
it is C
she turns the calculator on, then enters her starting balance them subtracts both checks she wrote then added the deposit.
Anna took Allie out for lunch their lunches cost $13.28 and $14.25 including tax and tip and a paid with $40 how much change did Anna receive
you can buy 3 apples at quick market for $1.17, you can buy 5 of the same apples at Stop and Save for $2.40.
a.Which store is the better buy?
b. How much will you save per apple if you purchase it from the cheaper store?
Restaurant sales totaled 38,676 for the week. Your customer count was 7,325. What did the average customer spend for the week
divide total by number of customers
38,676/7,325 = 5.28
average was $5.28
Frankie purchases a 3 1/2 pound bag of chicken.he uses 1 1/3 of chicken for fajitas how many pounds of chicken are left?
For which value or values are the expressions 15k + 9 and 3(2k + 3) + 9k equivalent? A) no values B) 3 C) 3,5 and 8 or D) all values
Final answer:
The expressions 15k + 9 and 3(2k + 3) + 9k are equivalent for all values of k because after simplifying the second expression, it matches the first expression exactly.
Explanation:
To determine for which value or values the expressions 15k + 9 and 3(2k + 3) + 9k are equivalent, we must first simplify the second expression.
Simplify 3(2k + 3) + 9k:
= 6k + 9 + 9k
= 15k + 9.
Now we compare the simplified forms of both expressions. It is clear that they are identical in form, meaning that they are equivalent for all values of k. No additional values are needed; the expressions are universally equivalent as they simplify to the same equation.
One US dollar is currently worth 0.79 euro (€). If you exchange $522 for euros, how many euros will you have?
If you exchange $522 for euros, the number of euros you would have is equal to 412.38 euros (€).
What is a direct proportion?In Mathematics and Geometry, a direct proportion is a mathematical equation which is typically used to represent the equality of two (2) ratios.
Based on the information provided, we have the following exchange rate:
1 US dollar = 0.79 euro (€).
522 US dollar = X euro (€).
By cross-multiplying, we have the following:
X = 0.79 euro (€) × 522 US dollar
X = 412.38 euros (€).
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Frank kicks a soccer ball off the ground and in the air, with an initial velocity of 30 feet per second. Using the formula H(t) = −16t2 + vt + s, what is the maximum height the soccer ball reaches? 14.1 feet 13.7 feet 13.2 feet 15.2 feet
The answer is A or 14.1!
The equation shows the relationship between x and y: y = 6x + 1 What is the slope of the equation?
How many solutions are there for the system of equations shown on the graph?
No solution
One solution
Two solutions
Infinitely many solutions
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