After discarding the gold card, Carolee has a total of 10 cards left. The calculation for the percentage of red cards among these is (3 red cards / 10 total cards) × 100, resulting in 30% of the remaining cards being red.
Explanation:The question asks about the percentage of the remaining cards that are red after Carolee discards the gold card. Initially, Carolee has 4 green cards, 3 red cards, 3 orange cards, and 1 gold card. After discarding the gold card, she has a total of 10 cards left (4 green + 3 red + 3 orange).
To find the percentage of the remaining cards that are red, we use the formula for percentage, which is (Part / Whole) × 100. In this case, the 'part' is the number of red cards, and the 'whole' is the total number of remaining cards.
Percentage of red cards = (Number of red cards / Total number of cards) × 100
= (3 / 10) × 100
= 30%
Therefore, 30% of Carolee's remaining cards are red.
A dress is 10 marked down by 20% and placed on a clearance rack on which is posted a sign take an extra 40% off already reduced merchandise. What fraction of the original price is the final sales price of the dress?
The final sales price of the dress is a fraction 12/25 of the original price after successive discounts of 20% and 40%.
To determine the final sales price of the dress after multiple discounts, we can apply each discount successively. Let's assume the original price of the dress is $10, as mentioned in the premise, although this might be a typo or an example figure since a dress would typically cost more.
First discount: 20% off the original price, which is 0.20 x 10 = $2. So the new price after the first discount is $10 - $2 = $8.
Second discount: An additional 40% off on the already reduced price of $8. The additional discount is 0.40 x 8 = $3.20. Therefore, the final sales price after the second discount is $8 - $3.20 = $4.80.
To find the fraction of the original price that the final sales price represents, we divide the final price by the original price: $4.80 / $10 = 0.48. Thus, the fraction of the original price is [tex]\frac{48}{100}[/tex] or 24/50 after simplification, which further simplifies to 12/25
The country fair charges $8.50 to get in and $2 per ride. If you have $50.50 in your pocket, write an equation to find out how many rides you can go on.
approximately 9 out of 10 smokers began smoking before the age of 21. In a group of 400 smokers, about how many of them started before they reached their 21st birthday?
There are 360 smokers in group of 400 smokers began smoking before they reached their 21st birthday.
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
Approximately 9 out of 10 smokers began smoking before the age of 21.
Now,
Let number of smokers in group of 400 = x
Since, approximately 9 out of 10 smokers began smoking before the age of 21.
Hence, Number of smokers in group of 400 is,
⇒ 9 / 10 = x / 400
Solve for x as;
⇒ 9 × 400 / 10 = x
⇒ 9 × 40 = x
⇒ x = 360
Thus, There are 360 smokers started before they reached their 21st birthday.
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Fabio and Carlos play on a basketball team together. In the last game, Fabio had 7 points less than 2 times as many points as Carlos. Fabio scored points in the game. what is the expression (what is the numeric form) in this equation?
what multiplication expression can you use to solve 2 divided by 8 4/5?
Another recipe mr c likes is for a chocolate chip pancakes the recipe calls for 3/4 of a cup of chocolate chips, 1/6 of a cup of butter and 3 eggs if he decides to make pancakes for his whole family using five cups of chocolate chips how many cups of butter and how many eggs would he need do that they still taste the same
jane has 2 apples john takes one of her apples how many apples does jane have left
Please be 100 correct! I'll give brainiest to who's correct.
A thermostat is set so that the temperature in laboratory freezer stays within 2.5 degrees F of 2 degrees F. Write and solve an absolute value equation to find the maximum and minimum temperatures in the freezer.
If you divide a fraction by 1/2, and the result was a mixed numbers. Was the original fraction less or greater than 1/2
Add using the number line.
1.4+(−0.8)
Select the location on the number line to plot the point.
Answer : The location on the number line to plot the point is shown below.
Step-by-step explanation :
Number line : It is defined as a straight line with the numbers that are placed at equal intervals along its length.
As we move from zero to the right the numbers are positive.
As we move from zero to the left the numbers are negative.
The given expression is:
1.4 + (-0.8)
By solving the expression, we get:
⇒ 1.4 - 0.8
⇒ 0.6
100 POINTS IF YOU ANSWER CORRECTLY Rotate these coordinates 180 around the origin and then translate 6 units to the left.
Hello!
When you flip the coordinates and move them 6 units to the left your coordinates would be: (-4, 8) (0, 8) (5, 1) (1, 3)
Identify The set of numbers that best describe each situation explain your choice the amount of money in a bank account and the exact temperature of a glass of water in degrees Celsius
Answer:
The bank would be real and rational and the glass of water would be real and rational
Step-by-step explanation:
the guy above just wanted points
A house and a lot are appraised at $158,100. If the value of the house is five times the value of the lot, how much is the house worth?
What's 5258 divided by 47
The answer to the question 5258 divided by 47 is approximately 111.87. This is solved using the mathematical operation of division.
Explanation:To solve the question 5258 divided by 47, we need to use the division operation. Division is one of the four basic operations in mathematics, along with addition, subtraction, and multiplication. In this case, we are dividing 5258 (the dividend) by 47 (the divisor).
Step 1: Start by placing 5258 under the division bar and 47 outside to the left.
Step 2: Divide 5258 by 47. This may be done manually, or by using a calculator. The answer you get is approximately 111.87 when rounded off to the nearest hundredth.
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Please help me simplify complex fractions
1/5/3/4
What is the slope of the graph?
Your job pays $6 per hour. Write a variable expression for your pay in dollars for working h hours. What is your pay if you work 30 hours? (A) 6; $174 (B) 6h; $180 (C) 6h; $186 (D) 7h; $180
Answer:
(B) 6h; $180
Step-by-step explanation:
Let h represents the number of hour.
Given,
Payment for an hour = $ 6,
So, the payment for h hours = 6h dollars,
Where, h is a variable.
Thus, the required variable representation is 6h.
If h = 30,
Thus, the total payment for 30 hours
= 6 ( 30 )
= $ 180
Hence, option B is correct.
logan mader 4 stacks of wooden blocks, the first tackswas 6 blocks tall,the second stacks was 2 blocks taller than the first, the third stack was 2 blocks shorter than the second stack, and the last stack was 10 blocks taller than the third stack. how many blocks did loganuse in all?
line r is parallel to line t. find m<6. The diagram is not to scale
Two buses are traveling to a state park. One bus leaves the terminal at 4:00 p.m. and travels at 40 miles per hour. The second bus leaves the terminal at 5:00 p.m. and travels at 60 miles per hour. How much time passes until the second bus catches up with the first bus?
Write each Percent as a decimal and as a mixed number or fraction in simplest form
[tex] p\%=\dfrac{p}{100}\\\\225\%=\dfrac{225}{100}=2\dfrac{25}{100}=2.25=2\dfrac{1}{4}\\\\550\%=\dfrac{550}{100}=\dfrac{55}{10}=5\dfrac{5}{10}=5.5=5\dfrac{1}{2}\\\\0.8\%=\dfrac{0.8}{100}=\dfrac{0.8\cdot10}{100\cdot10}=\dfrac{8}{1,000}=0.008=\dfrac{1}{125}\\\\0.06\%=\dfrac{0.06}{100}=\dfrac{0.06\cdot100}{100\cdot100}=\dfrac{6}{10,000}=0.0006=\dfrac{3}{5,000}[/tex]
Make a conjecture given that points A,B,C are collinear and AC+ CB=AB
1. C is between A and B
2. A is between B and C
3. B is between A and C
4. ABC is equilateral
The points A, B, C cannot be both collinear and form an equilateral triangle simultaneously. This is proven by applying the Pythagorean theorem and trigonometry laws for triangles, which show that the distances and angles do not match the requirements for an equilateral triangle if the points are collinear (on a straight line).
Explanation:
Given that points A,B,C are collinear and you've stated a variety of scenarios about the positioning of these points. Combining all these restrictions, however, leads to a contradiction. An equilateral triangle's points cannot all be collinear as you've mentioned in your last point. A collinear set of points exists on the same straight line. The points of an equilateral triangle do not fall on the same line. Therefore, it's impossible for points A,B,C to be collinear and also form an equilateral triangle ABC.
Applying the Pythagorean theorem to the positions of these points, we see that the distances on the sides of the triangle will not be equivalent if they are positioned in a straight line. Similarly, with the use of trigonometry laws for triangles, such as the ones for vector equations, the same result is found. The vector equations for collinear points lack the trigonometric components found in equilateral triangles.
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Four people share 2/3 pound of peanuts. What fraction of a pound of peanuts does each person receive?
the temperature at noon was -27 degrees . the temperature increased by 13 degrees by 2pm . what was the temperature at 2pm
Which choice represents the best rational approximation for 35?
A) 5.9
B) 6.2
C) 6.7
D) 7.1
An online retailer sells two packages of protein bars. Package 10−pack of 2.3 ounce bars 12−pack of 1.6 ounce bars Cost ($) 17.35 16.97 Which package has the better price per bar?
Answer:
Package 10−pack of 2.3 ounce bars has the better price per bar
Step-by-step explanation:
Case 1) Package 10−pack of 2.3 ounce bars Cost ($) 17.35
Cost of Package 10−pack of 2.3 ounce bars = 17.35
Cost of Package 1−pack of 1 ounce bars = [tex]\frac{17.35}{10 \times 2.3}[/tex]
= [tex]0.7543[/tex]
2) 12−pack of 1.6 ounce bars Cost ($)16.97
Cost of Package 12−pack of 1.6 ounce bars = 16.97
Cost of Package 1−pack of 1 ounce bars = [tex]\frac{16.97}{12 \times 1.6}[/tex]
= [tex]0.8838[/tex]
Hence Package 10−pack of 2.3 ounce bars has the better price per bar
Baseball cards come in packages of 8 and 12. Brighton bought some of each type for a total of 72 baseball cards. How many of each package did he buy?
Jared used 1 2/5 bags of soil for his garden. He is digging another garden that will need 1/5 as much soil as the original. How much will he use total?
Answer:
[tex]1\frac{17}{25} \\[/tex] bags
Step-by-step explanation:
Number of bags used by Jared for his garden
[tex]= 1\frac{2}{5} \\= \frac{7}{5}\\[/tex]-------------------------- Eq (A)
Number of bags of soil required for new garden
[tex]= \frac{1}{5} * \frac{7}{5} \\= \frac{7}{25} \\[/tex]-------------------------- Eq (B)
Total number of bags that will be used
[tex]= Eq (A) + Eq (B)\\= \frac{7}{5} + \frac{7}{25} \\= \frac{42}{25} \\= 1 \frac{17}{25}[/tex]
If the pattern is 3ª¯², what is the value if a = 5?
Question 5 options:
81
27
9
3
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