Question 8 the price of a cup of coffee was $2.55 yesterday. today, the price fell to $2.40 . find the percentage decrease. round your answer to the nearest tenth of a percent. %
Is 770 x 6 = 77 x 6 x 100 true or false?
The equation 770 x 6 = 77 x 6 x 100 is false.
To determine if the equation 770 x 6 = 77 x 6 x 100 is true or false, let's evaluate both sides of the equation.
On the left side:
770 x 6 = 4,620
On the right side:
77 x 6 x 100 = 46,200
Since 4,620 is not equal to 46,200, the equation 770 x 6 = 77 x 6 x 100 is false.
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A cell phone company charges a monthly fee plus $0.25$0.25 for each text message. The monthly fee is $30.00$30.00 and you owe $59.50$59.50. Write and solve an equation to find how many text messages xx you had.An equation is
Which professionals most directly use geometry in their work?
a.accountants
b.astronomers
c.judges
d.pharmacists
e.politicians
Answer:
The answer to the question: Which professionals most directly use geometry in their work?
b. Astronomers
Step-by-step explanation:
The astronomers are the professionals most directly use geometry in their work in this list options, some examples of the geometric in this profession are:
Orbits of planets around stars or orbits of satellites around planets behave like ellipses or hyperbolas; geometry is also used to find coordinates of celestial objects
There are 4 dogs, 6 cats, a rooster and 8 pigs on a farm. What is the ratio of pigs to all the other animals?
Answer:
Its 8:11 because theres eleven animals and 8 pigs
Step-by-step explanation:
Can someone help me find DB TR and SR thank you :)
Ohhhhhh!!! I have a math problem I also have a Brainliest
the perimeter of a scalene triangle is 14.5 cm. the longest side is twice that of the shortest side. which equation can be used to find the side lengths if the longest side measures 6.2cm?
Answer:
9.3+b=14.5
Step-by-step explanation:
Patty has 8 flowerpots, and she wants to plant a different type of flower in each pot. There are 11 types of flower available at the garden shop. How many different ways can choose the flowers?
Which of the following statements about trapezoids is true?? (Help asap) !!!!!!
why does the sum of -4 and 3 complain more than the sum of -3 and 5
Final answer:
The sum of -4 and 3 is -1 because we subtract the smaller number from the larger and keep the sign of the larger absolute value number. The sum of -3 and 5 is positive 2 for the same reason.
Explanation:
The question seems to be asking about the rules for adding numbers with different signs. When adding -4 and 3, which have opposite signs, you subtract the smaller number from the larger number, and the sign of the answer is the same as the sign of the larger absolute value number.
So the sum is -1, because 4 is larger than 3, and the sign is negative. In contrast, when adding -3 and 5, you also subtract the smaller number from the larger, but since 5 is greater than 3, the sum is 2, and it has a positive sign because 5 has a positive sign.
Examples demonstrate the rules of addition:
When two positive numbers are added, like 3 + 2, the result is a positive 5.If two negative numbers are added, for example, -4 + (-2), the result is a negative -6.Mixing a negative and a positive number, such as -5 + 3, the result is -2, mirroring the sign of the larger absolute value number.These basic rules ensure clarity in arithmetic operations and provide a foundation for more complex math problems. The 'complaints' likely refer to the unexpected results when dealing with negative numbers, which can seem counterintuitive but follow consistent mathematical rules.
A retailer has some skirts that cost $18 each. She wants to sell them at a profit of 40% of the selling price. What price should she charge for the skirts?
The selling price is $25.2.
Profit and lossIf the selling price is greater than the cost price, then the difference between the selling price and cost price is called profit.
If the selling price is less than the cost price, then the difference between the selling price and cost price is called loss.
Given
The cost of the skirt is $18
Profit is 40%
To findThe selling price of the skirt.
How to calculate the selling price?The selling price is given by
selling price = cost price + profit
Profit is given by
[tex]\begin{aligned} \rm Profit\ percent\ &= \rm \dfrac{Profit}{cost\ price} *100\\40 &= \rm \dfrac{Profit}{18} *100\\\rm profit &= 7.2 \end{aligned}[/tex]
Then the selling price = 18 + 7.2 = $25.2.
Thus, the selling price is $25.2.
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John has 6 green marbles and 4 purple marbles. He chooses a marble at random, writes down its color, and then puts the marble back. He performs this process 5 times. What is the probability that he chooses exactly two green marbles?
The probability that John chooses exactly two green marbles is calculated using the binomial probability formula and is found to be 720/3125.
To solve this problem, we can use the binomial probability formula because John is performing independent trials of the same experiment and he is interested in the probability of exactly two successes (picking a green marble) in a specific number of trials (5).
The binomial probability formula is: [tex]P(X = k) = (n choose k) \times p^k \times (1-p)^{n-k[/tex]
For John's case:
n = 5 (since he is picking 5 marbles).
k = 2 (he wants exactly two green marbles).
p = 6/10 or 3/5 (because there are 6 green marbles out of a total of 10 marbles).
Using the formula, the probability that John picks exactly two green marbles is:
[tex]P(X = 2) = (5 choose 2) \times (3/5)^2 \times (2/5)^{5-2[/tex]
Calculating further:
[tex]P(X = 2) = 10 \times (3/5)^2 \times (2/5)^3 = 10 \times 9/25 \times 8/125 \\P(X = 2) = 720/3125[/tex]
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A cord is cut into two pieces of different lengths. the sum of the two lengths is 10 centimeters, and the difference between the two lengths is 4 centimeters. find the lengths of the two pieces of cord.
Answer:
Start with x+y=10 and x-y=4
Add the equations to eliminate y:
x+y=10
+ x-y=4
2x =14
So now solve for x:
2x=14 (Divide each side by 2 to get x by itself)
x=7
Now you have solved for x, but you still need to solve for y:
x+y=10
7+y=10 (Subtract 7 from both sides to get y by itself)
y=3
Now you have both x and y but to check it, just plug it into the original equations:
x+y=10 ----> 7+3=10 (That's correct)
x-y=4 ----> 7-3=4 (That's correct)
Step-by-step explanation:
In a right triangle the legs have lenths of 8 and 15 what is the perimeter of this triangle
Two bicycles depart from miami beach going in opposite directions. the first bicycle is traveling at 10 miles per hour. the second bicycle travels at 5 miles per hour. how long does it take until the bikes are 45 miles apart?
The coordinates of the vertices of a polygon are (−2,−2), (3,−3), (4,−6), (1,−6), and (−2,−4).
What is the perimeter of the polygon to the nearest tenth of a unit?
15.3 units
16.9 units
17.5 units
17.9 units
The perimeter of the polygon to the nearest tenth of a unit [tex]\boxed{16.9{\text{ units}}}.[/tex] Option (b) is correct.
Further explanation:
The distance between the two points can be calculated as follows,
[tex]\boxed{{\text{Distance}}=\sqrt {{{\left( {{x_2} - {x_1}} \right)}^2} + {{\left( {{y_2} - {y_1}} \right)}^2}}}[/tex]
Given:
The coordinates of the vertices of the polygon are [tex]\left({ - 2, - 2}\right),\left( {3, - 3}\right),\left( {4, - 6}\right),\left( {1, - 6}\right)[/tex] and [tex]\left( { - 2, - 4}\right).[/tex]
Explanation:
Consider the points as A [tex]\left( { - 2, - 2} \right), B\left( {3, - 3} \right), C\left( {4, - 6} \right), D\left( {1, - 6} \right)[/tex] and [tex]E\left({ - 2, - 4} \right).[/tex]
The distance between point A and point B can be calculated as follows,
[tex]\begin{aligned}{\text{Distance}}&=\sqrt {{{\left( {3 + 2} \right)}^2} + {{\left( { - 3 + 2}\right)}^2}}\\ &= \sqrt {25 + 1}\\&= \sqrt {26}\\&= 5.2\\\end{aligned}[/tex]
The distance between point B and point C can be calculated as follows,
[tex]\begin{aligned}{\text{Distance}}&=\sqrt {{{\left( {4 - 3} \right)}^2} + {{\left( { - 6 + 3} \right)}^2}}\\&= \sqrt {{1^2} + 9}\\&= \sqrt {10}\\&= 3.17\\\end{aligned}[/tex]
The distance between point C and point D can be calculated as follows,
[tex]\begin{aligned}{\text{Distance}}&= \sqrt {{{\left({1 - 4} \right)}^2} + {{\left( { - 6 + 6}\right)}^2}} \\&=\sqrt {{3^2} + 0}\\&= \sqrt9\\&= 3\\\end{aligned}[/tex]
The distance between point D and point E can be calculated as follows,
[tex]\begin{aligned}{\text{Distance}}&= \sqrt {{{\left( { - 2 - 1}\right)}^2} + {{\left( { - 4 + 6}\right)}^2}}\\&= \sqrt{ - {3^2} + {2^2}}\\&= \sqrt {9 + 4}\\&= \sqrt {13}\\&= 3.61\\\end{aligned}[/tex]
The distance between point E and point A can be calculated as follows,
[tex]\begin{aligned}{\text{Distance}} &= \sqrt {{{\left( { - 2 + 2} \right)}^2} + {{\left( { - 4 + 2} \right)}^2}}\\ &= \sqrt {{0^2} + {2^2}}\\&=\sqrt4\\&= 2\\\end{aligned}[/tex]
The perimeter of the polygon can be calculated as follows,
[tex]\begin{aligned}{\text{Perimeter}}&= 5.12 + 3.17 + 3 + 3.61 + 2\\&= 16.9\\\end{aligned}[/tex]
Option (a) is not correct.
Option (b) is correct.
Option (c) is not correct.
Option (d) is not correct.
The perimeter of the polygon to the nearest tenth of a unit [tex]\boxed{16.9{\text{ units}}}.[/tex] Option (b) is correct.
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Coordinate geometry
Keywords: Coordinates, vertices, polygon, x-coordinate, y-coordinate, perimeter, circumference, nearest tenth unit, distance formula.
Answer:
here is the answer
Step-by-step explanation:
A nut mixture of almonds and macadamia nuts at a small fair is $1.00 per pound of almonds and $5.93 per pound of macadamia nuts. Over the entire day, 102 pounds of the nut mixture were sold for $452.03. If p is the number almonds and n is the number of macadamia nuts, then the system of equations that models this scenario is: p+n=102p+5.93n=452.03p+n=102p+5.93n=452.03 Determine the correct description and amount of pounds for almonds and macadamia nuts that were sold
Final answer:
Approximately 71 pounds of macadamia nuts and 31 pounds of almonds were sold, after solving the system of equations p + n = 102 and 1.00p + 5.93n = 452.03.
Explanation:
To determine the amount of almonds and macadamia nuts sold, we need to solve the given system of equations:
p + n = 102 (where p is the number of pounds of almonds and n is the number of pounds of macadamia nuts)1.00p + 5.93n = 452.03Let's start by solving the first equation for p:
p = 102 - n
Now, substitute p in the second equation:
1.00(102 - n) + 5.93n = 452.03
Next, distribute and combine like terms:
102 - n + 5.93n = 452.03
4.93n = 350.03
n ≈ 71.041 (macadamia nuts)
Using n to find p:
p = 102 - 71.041 ≈ 30.959 (almonds)
Therefore, approximately 71 pounds of macadamia nuts and 31 pounds of almonds were sold.
A public interest group hires students to solicit donations by telephone. After a brief training period students make calls to potential donors and are paid on a commission basis. Experience indicates that early on, these students tend to have only modest success and that 80% of them give up their jobs in their first two weeks of employment. The group hires 7 students, which can be viewed as a random sample.
The function y = -0.017x^2 + 0.55x models the height y, in feet, of your pet frog's jump, where x is the horizontal distance, in feet, from the start of the jump. How far did the frog jump? How high did it go? Round your answer to the nearest hundredth. Be sure to show work / explain your reasoning.
The frog jumped approximately 16.18 feet horizontally. The maximum height it jumped was approximately 4.65 feet.
Explanation:The function y = -0.017x^2 + 0.55x models the frog's jump, it represents a parabola where the highest point, the vertex, means the highest point the frog reached, and where it hits the x-axis indicates the horizontal distance the frog jumped. We can find the distance of the frog's jump by setting y to 0 and solving the equation for x, whereas, the maximum height of the frog's jump will be determined by the vertex of the parabola.
For a function in the form y = ax^2 + bx + c, the x-value of the vertex, which is the maximum height in this context, can be found by using the formula -b/2a.
Substituting the given values from the equation, -b/2a = -0.55/(-2*-0.017) = 16.18 feet approximately.
Substitute x = 16.18 feet into the given function to find the maximum height the frog jumped: y = -0.017*(16.18)^2 + 0.55*16.18 = 4.65 feet approximately.
So, the frog jumped approximately 16.18 feet horizontally and the maximum height it jumped was approximately 4.65 feet.
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The frog jumped approximately 32.35 feet in distance and reached a maximum height of about 4.71 feet. We found this by setting the quadratic function to zero and solving for the horizontal distance, and by calculating the vertex of the parabola for the maximum height of the jump.
The function y = -0.017x^2 + 0.55x models the height y, in feet, of your pet frog's jump, where x is the horizontal distance, in feet, from the start of the jump. To determine how far the frog jumped, we look for the value of x when y equals zero, which represents when the frog lands back on the ground. To find this, we set the equation equal to zero and solve for x:
0 = -0.017x^2 + 0.55x
This is a quadratic equation in the form of ax^2 + bx + c = 0, where a = -0.017, b = 0.55, and c = 0. We can solve this by factoring or using the quadratic formula. The solutions to this equation represent the starting point (x=0) and the landing point of the jump. Ignoring the x=0 solution, we find that the frog lands at approximately x = 32.35 feet (after rounding to the nearest hundredth).
To determine how high the frog went, we need to find the vertex of the parabola because this represents the highest point of the jump. The x-coordinate of the vertex is given by -b/(2a), so we calculate:
x = -0.55 / (2 * -0.017) = 16.18 (rounded to the nearest hundredth)
We plug this value into the original equation to find the height:
y = -0.017(16.18)^2 + 0.55(16.18) = approximately 4.71 feet (after rounding to the nearest hundredth)
Therefore, the frog jumped approximately 32.35 feet in distance and reached a maximum height of about 4.71 feet.
What is the slope of the line through (-1,8) and (3,-4)?
Answer:
-3
Step-by-step explanation:
The slope of a line is the ratio of the vertical distance and horizontal distance between two points on a line.
Note that zero is tangible if the line is horizontal, and undefined if it is vertical.
Slope = ∆y / ∆x
Coordinates given: (-1,8) and (3,-4)?
Slope = -4 - 8 / 3 - (-1)
Slope = -12 / 4
= - 3
compare 6.51326 and the square root of 39. (show work)
After estimating and calculating, we find that 6.51326 is greater than the square root of 39, which is approximately 6.245.
To compare 6.51326 and the square root of 39, we first need to calculate the square root of 39 to see how it measures up against 6.51326. Since the exact square root of 39 is not easily found without a calculator, we can estimate it by finding the nearest perfect squares that surround 39.
36 and 49 are the nearest perfect squares to 39, and their square roots are 6 and 7, respectively. Since 39 is closer to 36 than to 49, we can estimate the square root of 39 to be slightly more than 6. Therefore, without performing the exact calculation, we can intuit that the square root of 39 will be between 6 and 7, but closer to 6.
Doing the exact calculation or using a calculator, we find that the square root of 39 is approximately 6.245, which means that 6.51326 is greater than the square root of 39.
george wants to save money for a car, he invests $700 into an account that pays 7.25 percent interest, how many years will it take to reach $14,300
So turns out I’m not good at this math stuff. I someone help me with this monstrosity.?!
which function represents g(x) , a reflection of f(x)= 2/5 (10) x across the x-axis ?
Answer: The correct option is A.
Explanation:
The given function is,
[tex]f(x)=\frac{2}{5}(10)^x[/tex]
If a function is reflect across the x-axis, then the x-coordinate remains the same but the sign of y coordinate change.
[tex](x,y)\rightarrow(x,-y)[/tex]
[tex]g(x)=-f(x)[/tex]
[tex]g(x)=-\frac{2}{5}(10)^x[/tex]
The graph of f(x) and g(x) in shown in below figure.
Therefore option A is correct.
The probability of tossing three coins simultaneously and obtaining two heads and one tail is
A bowl contains 10 quarters, 20 dimes, 15 nickels, and 5 pennies. a coin is selected at random and kept and then a second coin is selected at random. which combination would have a probability of 6/49?
The solution to 2 x - 2 + 5 = 13 is___.
Which number is equivalent to 0.45 repeating?
Answer:
5/11
Step-by-step explanation:
5/11 is the equivalent number because its the fraction of the repeating decimal ^^