You are deciding between two cell phone plans. Plan A: Unlimited text, talk, and data for $50 per month. Plan B: Unlimited text and data and 100 minutes of talk for $40, plus $0.20 per minute of talk after 100 minutes. At how many minutes of talk are the plans equal?
Two or more expressions with an equal sign is called as Equation. If Plan A: Unlimited text, talk, and data for $50 per month. Plan B: Unlimited text and data and 100 minutes of talk for $40, plus $0.20 per minute of talk after 100 minutes. Then after 150 minutes plan A and plan B are equal.
What is Equation?Two or more expressions with an equal sign is called as Equation.
Given that,
Plan A: Unlimited text, talk, and data for $50 per month.
Plan B: Unlimited text and data and 100 minutes of talk for $40, plus $0.20 per minute of talk after 100 minutes.
We need to equation plan A and plan B
Plan A= Plan B
50=40+0.20(m-100)
Use distributive property on Right hand side
50=40+0.20m-20
Subtract 20 from 40 on right hand side
50=20+0.20m
Subtract 20 on both sides
30=0.20m
Divide both sides by 0.20
150=m
Hence After 150 minutes of talk Plan A and Plan B are equal.
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A scientist mixes water (containing no salt) with a solution that contains 40% salt. She wants to obtain 200 ounces of a mixture that is 5% salt. How many ounces of water and how many ounces of the 40% salt solution should she use?
The scientist should use 100 ounces of water and 20 ounces of the 40% salt solution to make 200 ounces of a mixture that is 5% salt.
What is percentage?
A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means. The letter "%" stands for it.
The concepts of counting are permutation and combination, and they are used in a variety of contexts. A permutation is a list of the various configurations that can be created from the given set of items. Details are crucial in permutation because the order or sequence is crucial. The order in which the names of the three countries are written matters, whether they are written as "USA, Brazil, Australia" or "Australia, USA, Brazil" or "Brazil, Australia, USA." When combined, the names of three nations form a single unit, regardless of their chronological order
If it's 5 percent salt, 5 percent = 0.05 and 0.05*200=10 (which is 5% of 200), therefore showing us that we need 10 ounces of salt. From a 40% solution (0.4), we need to figure out how many times 0.4 goes into 10, which is 10/0.4=25, showing us that we need 25 ounces of the salt solution. 200-25=175 ounces left for water
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anybody can help I need it by today at 4 pm please please please please please please help
A wall in Maria’s bedroom is in the shape of a trapezoid. The wall can be divided into a rectangle and a triangle.
Using the 45°-45°-90° triangle theorem, find the value of h, the height of the wall.
Using the 45°-45°-90° triangle theorem in a right triangle, where 'a' represents the triangle's leg that is also the trapezoid's height, 'h' equals 'a' and the hypotenuse is 'a' times √2. Additional information would be needed to solve for a numerical value of 'h'.
Explanation:In this problem, the wall's shape is a trapezoid, and we are using the 45°-45°-90° triangle theorem to find 'h', the height of the wall. We know in a 45°-45°-90° triangle, the two legs are congruent (same length), and the length of the hypotenuse is √2 times the length of a leg (based on Pythagorean theorem). In this case, if 'a' is the length of the triangle's leg connected to the rectangle, then 'h' would be equal to 'a' (since they are the legs in a 45-45-90 triangle), and the hypotenuse would be a√2.
Given an additional variable or measurement in this problem such as the length of the wall or the hypotenuse of the triangle, we could plug it in to solve for 'h'. Without additional information, the exact numerical height cannot be determined.
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Round 6,482 to the nearest ten hundred
Of Bernie's insect collection, 15 out of 25 insects are butterflies. Which of the following is not another way of expressing 15 out of 25?
A 3/5
B 0.6
C 60%
D 5/3
Option D (5/3) is not another way of expressing 15 out of 25 because it is greater than one and not equivalent to the simplified fraction 3/5, decimal 0.6, or percentage 60% which are all representations of the original fraction.
The student's question asks which of the following expressions is not another way of expressing 15 out of 25 insects being butterflies. To find out, we need to simplify the fraction and convert it into different forms.
Let's begin by simplifying the fraction 15/25. We can divide both the numerator (15) and the denominator (25) by their greatest common divisor, which is 5:
15 ÷ 5 = 325 ÷ 5 = 5So the fraction reduces to 3/5. Now let's see if the other options given correspond to this fraction:
3/5: This is the simplified form of 15/25.0.6: If we divide 3 by 5, we get 0.6, which means this choice represents the same value.60%: Convert the fraction 3/5 to a percentage by multiplying by 100 (3/5 x 100 = 60%) so this choice also represents the same value.5/3: This fraction is more than one (1) and is not equivalent to 3/5 or 15/25.Therefore, Option D (5/3) is the correct answer because it is not another way of expressing 15 out of 25.
The campsite is square in shape and has a length of 65 metres.
What is the area of the campsite?
Samah has made 20kg of chilli. There are 100g of chilli in a portion. how many portions of chilli has Samah made?
The sides of a square bedroom measure 3.5 yards. If carpet costs $16 per square yard, how much will it cost to cover the floor?
A. $56
B. $98
C. $196
D. $224
Answer:
ITS NOT A) $56
Step-by-step explanation:
I took the test! GOOD LUCK!
What is the quotient of 0.8449 ÷ 0.71?
Ms. Smith has 28 sixth graders and 35 seventh graders for math. If she wants to break the two grades into identical groups without any students left over, how many students will be in each group? Is it lcm or gcf?
Find the area of a right triangle with sides 10.0 cm , 24.0 cm , and 26.0 cm . express your answer with the correct number of significant figures.
find the estimate for 4.185 divided by 0.93
The cost of two mopeds is the same as the cost of seven bicycles. The cost of one bicycle is $152. Therefore, the cost of one moped is
1 bike = 152
7 bikes = 152*7 = 1064
1 moped = 1064/2 = $532
Graph the image of the given triangle after the transformation with the rule (x, y)→(x−1, y+2) . Select the "Polygon" button from the tool bar to plot your triangle. You may use the "Move" button to move the triangle after it is created. PolygonMove UndoRedoReset
Answer:
Hope this helps
Step-by-step explanation:
what is 11.4 rounded to the nearest tenth
Rounded to the nearest tenth, 11.4 becomes 11.4.
When rounding a number to the nearest tenth, you look at the digit in the hundredths place.
If it's 5 or greater, you round up; if it's less than 5, you round down. In 11.4, the digit in the tenths place is 4, which is less than 5.
Therefore, 11.4 remains unchanged when rounded to the nearest tenth, resulting in 11.4.
This means the number stays the same, as it's already accurately represented to the nearest tenth without needing any adjustments.
A jar of natural peanut butter normally cost four dollars today it's on sale for $3.60 what is the percentage of the discount
If you divide the number of elements in a sample with a specific characteristic by the total number of elements in the sample, the dividend is the:
Compare the values of the two 8s in the number 467882
The two 8s in the number 467882 have different values based on their positions. The first 8 is worth 80 while the second 8 is worth 8.
Explanation:The number 467882 has two 8s. The first 8 is in the tens place and the second 8 is in the ones place. The value of the first 8 is 8 times the value of the place it is in (or 8 x 10 = 80). The value of the second 8 is 8 times the value of the place it is in (or 8 x 1 = 8).
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Koen works at the Middletown Cafe. This week he served a table a meal costing $53.69 and received a 15% tip. He received a tip of ____.
What are the factors of 27
Jon bought 1 2⁄3 pounds of green peppers and 3⁄5 pound of yellow peppers. How much more did the green peppers weigh than the yellow peppers?
Miguel score 35 fewer points in second bowling game than his first game his total score for the two games was 395 how many points did he score in each game? (plz show step by step)
The sales tax on the purchase of a futon is $34.1634.16. If the tax rate is 77%, find the purchase price of the futon.
To find the purchase price of the futon, divide the sales tax by the tax rate. The purchase price is approximately $44.48.
Explanation:To find the purchase price of the futon, we need to divide the sales tax by the tax rate. Let's call the purchase price P. We can set up the equation as: 0.77P = 34.16. To solve for P, we divide both sides of the equation by 0.77. P = 34.16 ÷ 0.77. Using a calculator, the purchase price of the futon is approximately $44.48.
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Where did the Maya's lived?
Thanks,
-Laura B
What is the lateral area of the pyramid?
9*12.3 = 110.7
11*11.9 = 130.90
130.90 + 110.70 = 241.6 ft^2
Answer:
Step-by-step explanation:
Alright, lets get started.
The lateral area will be the area of all 4 sides.
The two sides have base length 11 feet and height of 11.9 feet.
The area of this side is : [tex]\frac{1}{2}*base*height[/tex]
The area of this side is : [tex]\frac{1}{2}*11*11.9=65.45[/tex]
The two sides have base length 9 feet and height 12.3 feet.
The area of this side is : [tex]\frac{1}{2}*9*12.3=55.35[/tex]
All 4 sides area will be : [tex]2(65.45+55.35)[/tex]
All 4 sides area = 241.6 square feet
Hence the lateral area will be 241.6 square feet : Answer B
Hope it will help :)
-2(x-3)+5x+7=3(4-3x)+12x-9
Which expression represents the number of possible combinations of n items taken r at a time?
Answer:
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Step-by-step explanation:
Given :Total items = n
Items taken at a time = r
To Find: Which expression represents the number of possible combinations of n items taken r at a time?
Solution:
We will use combination over here.
[tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Now Total items = n
Items taken at a time = r
Thus expression represents the number of possible combinations of n items taken r at a time is [tex]^nC_r=\frac{n!}{r!(n-r)!}[/tex]
Suzanne can read 1 page in 3 minutes. How many pages can she read in 5 hours?
5.01×10 to the third power in standard form