The rational number 7/50 is not equivalent to the other numbers listed (75%, 3/4, 0.75) as it converts to a decimal value of 0.14, which is distinct from 0.75.
Explanation:The question asks which rational number is not equivalent to the others: 75%, 3/4, 0.75, or 7/50. To determine this, we can convert all the numbers to a common format, such as decimals or fractions, and compare their values.
First, 75% is equivalent to 0.75, as percent means "per hundred," so 75% is 75 per 100, which can be written as 75/100 and simplified to 3/4 or 0.75. Next, 3/4 is exactly 0.75 when converted to a decimal. This means that these three are equivalent to each other.
However, 7/50 is a different case. When we convert 7/50 to a decimal, we get 0.14, which is evidently different from 0.75. Therefore, 7/50 is not equivalent to the other rational numbers listed.
How can properties help me add whole numbers and decimals.
Mathematical properties like the Commutative Property and place value concepts can assist in simplified addition of decimals and whole numbers. Multiplying decimals by powers of ten can further ease such additions.
Explanation:In the field of mathematics, properties can significantly aid in the process of adding whole numbers and decimals. One such property is the Commutative Property which states that the order in which numbers are added does not change the sum. For example, if you are adding 2.3 (decimal) + 4 (whole number), you would get the same result as 4 + 2.3.
Furthermore, you can leverage the concept of place value. This involves aligning the decimal points and adding digits from right to left to get the correct sum.
Lastly, multiplying by powers of ten can aid in the addition of whole numbers and decimals. When we multiply a decimal by a power of 10, we simply move the decimal point to the right by the same number of places as there are zeros in the power of 10. This can make additions easier. For instance, if we want to add 4 + 0.23, we could multiply 0.23 by 100 (a power of 10) to get 23, and then it's much straightforward to add 4 + 23. But we have to remember to divide by 100 at last to get the real answer: 4.23.
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Of the 30 girls who tried out for the lacrosse team at Euclid Middle School, 12 were selected. Of the 40 boys who tried outo, 16 were selected. Are the ratios of the number of students on the team to the number of students trying out the same for both boys and girls? How do you know?
For girls: 12/30 = 4/10 = 2/5
For boys: 16/40 = 4/10 = 2/5
The ratios of the number of students on the team to the number of students trying out for both boys and girls are the same since 12/30 = 16/40...
A building with a height of 14 m casts a shadow that is 16 m long while a taller building casts a 24 m long shadow. What is the height of the taller building?
If a is an integer, when is a/b always equal to an integer
(I'm terrible at math btw)
What is the approximate difference in the amount of wax needed to make a candle from each of these molds? (Use π = 3.14.)
a) 4.19 cubic inches
b) 10.4 cubic inches
c) 12.56 cubic inches
d) 20.93 cubic inches
Final answer:
To find the approximate difference in the amount of wax needed to make a candle from each of these molds, we can calculate the volume of wax using the formula for the volume of a cylinder. The approximate differences in volume can be calculated by subtracting the volume of mold a) from the volumes of molds b), c), and d).
Explanation:
To find the approximate difference in the amount of wax needed to make a candle from each of these molds, we need to calculate the volume of wax required for each mold. The formula for the volume of a cylinder is V = πr²h, where r is the radius and h is the height.
Using the given values, we can calculate the volumes as follows:
Volume for mold a) = 3.14 × (sqrt(4.19/3.14))² × 1 = 7.98 cubic inches
Volume for mold b) = 3.14 × (sqrt(10.4/3.14))² × 1 = 35.58 cubic inches
Volume for mold c) = 3.14 × (sqrt(12.56/3.14))² × 1 = 50.24 cubic inches
Volume for mold d) = 3.14 × (sqrt(20.93/3.14))² × 1 = 111.51 cubic inches
The approximate differences in the amount of wax needed to make a candle from each of these molds are:
Approximate difference between mold a) and b) = 35.58 - 7.98 = 27.6 cubic inches
Approximate difference between mold a) and c) = 50.24 - 7.98 = 42.26 cubic inches
Approximate difference between mold a) and d) = 111.51 - 7.98 = 103.53 cubic inches
An envelope is 3. 1/3 inches long by 3. 1/2 inches wide what is that area of the envelop
math problem number 7
A number line that represents a strategy for determining how many more dollars Corrine needs to earn so that she earns exactly as much as she plans to spend is: C. number line C.
In Mathematics, every number line would primarily increase in numerical value towards the right from 0 and decrease in numerical value towards the left from 0.
Based on the information, the total expenses incurred by Corrine can be calculated as follows;
Total expenses = -($20 + $13 + $4)
Total expenses = -$37
In this context, the amount of dollars that Corrine needs to earn to balance her expenses is given by;
Amount of dollars = $20
Amount of dollars = $20 + $13 = $33.
Amount of dollars = $33 + $4 = $37.
In conclusion, a double numer line such as numer line C, should be used to show the addition (-37 + 37) = 0.
Complete Question:
Corrine plans to spend $20 on a new shirt, $13 on dinner, and $4 on a bus ticket. She knows that she will earn $30 for baby-sitting. Which number line represents a strategy for determining how many more dollars Corrine needs to earn so that she earns exactly as much as she plans to spend?
Write four equivalent expressions for each given expression. 20-10, 24+16, 14y-7y, 3p + 12p, 2(3+5m) and 5(3x+2)
Use compatible numbers to estimate the quotient 784 divided by 8
Answer:
4
Step-by-step explanation:
2/5 of students are wearing glasses. what fraction of students are not wearing glasses.
Scientists believe there is a link between ambient temperature and damage to a head gasket on a car. They perform a study recording daily temperature and the damage index to a head gasket on a car.
What is the domain?
Answer:
The domain is the temperature
Step-by-step explanation:
The domain of a function can be seen as the set of all possible independent values or variables which will make the function "work", and will output real values for the independent variable.
In the question above, what's been recorded daily is the temperature.
Hence, it serves as the independent variable as its variation does not depend on that of another.
So, temperature is the domain for the function above
What is 137 divided by 7? Please put in the remainders!
Ex. 12R1
Thank you!
Write each rate as a unit rate. $2 for 36 erasers
a student correctly answered 80% of the 2o questions on the test How many questions did the student answer correctly
what are all the common factors for 24 64 88
write an expression for the calculation 84 divided into sevenths added to 9 divided into thirds
Which equation can be used to find the answer?
Christina climbs to the top of Mount Graham in Arizona. On the first day, she climbs to an elevation of 1029 ft. The elevation of Mount Graham is 10,724 ft. How many total feet of Mount Graham’s elevation does Christina climb on the other days?
A. e + 1029 = 10,724
e = 9695
9695 ft
B. e = 1029 · 2
e = 2058
2058 ft
C. e = 10,724 ÷ 2
e = 5362
5362 ft
D. e – 1029 = 10,724
e = 11,753
11,753 ft
what is between 50 and 100
Answer:
Every number from 51 all the way to 99.
Step-by-step explanation:
these are all not greater nor less than 50 and 100.
meriska was decorating her room .she arrange 63 picture tiles on a wallin the shape of rectangle. how many rows of tiles could be on the wall
What is the length of diagonal BD in rectangle ABCD if BC=5 and CD=8.
Larry sold twice as many magazines as Jan. Henry sold 8 more magazines than Jan. Larry and Henry sold the same amount of magazines. How many magazines did Jan sell?
Jan sold 8 magazines.
The question is a classic example of a system of linear equations in the context of solving word problems. To solve for the number of magazines Jan sold, we need to set up equations based on the information provided.
Let's denote the number of magazines Jan sold as J. According to the problem, Larry sold twice as many magazines as Jan did, which can be represented as 2J. Henry sold 8 more magazines than Jan, which can be represented as J + 8. Lastly, we are told that Larry and Henry sold the same number of magazines, meaning 2J is equal to J + 8.
To find the number of magazines Jan sold (J), we solve the equation:
2J = J + 8
2J - J = 8 (Subtract J from both sides)
J = 8
Thus, Jan sold 8 magazines.
Beach towels are on sale for $1.50 off the regular price. Mrs. Ortiz buys 4 beach towels on sale for a total of $33.96. Write and solve an equation to determine the regular price of a beach towel. Explain how you can check with her your answer is reasonable.
a restaurant bill before tax is $15.50. How much is a 15% tip for this bill . please show work
a ladder 6 meters in length leans against a wall. the base of the ladder is 2 meters away from the base of the wall. how far up the wall does the ladder reach to the nearest tenth?
What is the solution to the equation -2(1 + 5a) = -6(a + 3)
a=
Write 300,000+40,000+60+7 in standard form
PLEASE HELP!!
For a STEM competition, Julienne constructed a model rocket. The rocket can reach an average height of 545 feet. Find the differences between the average heigh and the actual heights reached. Then write then as positive and negative rational numbers. Order the differences from least to greatest.
Actual heights
534.2
556.4
554.0
535.3
To find the differences between the average height and the actual heights reached, subtract each actual height from the average height. Then order the differences from least to greatest. Ordering the differences from least to greatest, we have: -11.4, -9.0, 9.7, 10.8.
Explanation:To find the differences between the average height and the actual heights reached, we subtract each actual height from the average height:
545 - 534.2 = 10.8545 - 556.4 = -11.4545 - 554.0 = -9.0545 - 535.3 = 9.7Ordering the differences from least to greatest, we have: -11.4, -9.0, 9.7, 10.8.
The differences between the average height and actual heights are calculated and then ordered from least to greatest. Negative values indicate the actual height is higher than the average, while positive values indicate the opposite.
Explanation:The student is asked to find the differences between an average height of 545 feet and the four given actual heights reached by a model rocket and to write them as positive and negative rational numbers, then order the differences from least to greatest.
First difference: 545 - 534.2 = 10.8 (positive because the average is higher)Second difference: 545 - 556.4 = -11.4 (negative because the actual height is higher)Third difference: 545 - 554.0 = -9.0 (negative because the actual height is higher)Fourth difference: 545 - 535.3 = 9.7 (positive because the average is higher)Now, we order these differences from least to greatest (considering negative numbers are lower than positive numbers):
-11.4-9.09.710.8The length of a rectangular football field, including both end zones, is 120 yards. The area of the field is 57,600 square feet.
Give an example of an irrational number that is less than -5.
How is multiplication using partial products different from multiplication using regrouping and how are they similar
Answer:
Explained below.
Step-by-step explanation:
Multiplication using partial products is the process of multiplying the ones first, tens next, hundreds next and so on. and finally adding all the products.
Ex:
15 × 75 = 15 × (70 + 5)
= (15 × 70) + (15 × 5)
= 1050 + 75
= 1125
Multiplication using regrouping is the process of carrying over the tens, hundreds, thousands, and so on. to the next level and adding them to the subsequent products.
Ex:
15 × 75 =
75
105
----------
1125
Multiplication involves calculating the product of a set of numbers or expressions.
Partial products and multiplication by regrouping are different because partial product involves step by step, while multiplication by regrouping involves direct multiplication.They are similar because, both methods carry the remainder of a product onto the next.An illustration of partial product is as follows:
[tex]\mathbf{39 \times 4}[/tex]
Start by rewriting 39 as 30 + 9
[tex]\mathbf{39 \times 4 = (30 + 9) \times 4}[/tex]
Expand
[tex]\mathbf{39 \times 4 = 30 \times 4+ 9 \times 4}[/tex]
Calculate the product
[tex]\mathbf{39 \times 4 = 120+ 36}[/tex]
[tex]\mathbf{39 \times 4 = 156}[/tex]
The above product by regrouping is as follows
[tex]\mathbf{39 \times 4}[/tex]
Start by multiplying 9 and 4
[tex]\mathbf{9 \times 4 = 36}[/tex]
Write down 6, carry 3
Multiply 3 and 6
[tex]\mathbf{3 \times 4 = 12}[/tex]
Add the carried 3
[tex]\mathbf{3 \times 4 +3= 12 +3}[/tex]
[tex]\mathbf{3 \times 4 +3= 15}[/tex]
So, the complete product is:
[tex]\mathbf{39 \times 4 = 156}[/tex]
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