1495÷45 in a long division equation :3
Final answer:
The long division of 1495 divided by 45 results in 33 with a remainder of 10. In the process of division, significant figures are considered, and our answer complies with this rule as both numbers have three significant figures.
Explanation:
To perform the long division of 1495÷45, we divide 1495 by 45 step by step.
Divide the leftmost digit of the dividend, 1, by 45. Since 45 cannot divide into 1, we extend to the next digit, making it 14.Now, determine how many times 45 can fit into 14. It still cannot, so we move to the next digit, now having 149.45 goes into 149 three times (since 45 × 3 = 135), so we put 3 above the line, at the hundreds place.Subtract 135 from 149 to get a remainder of 14 and bring down the next digit from the dividend, which is 5, to make 145.45 goes into 145 three times. So, we put another 3 above the line, at the tens place.Subtract 135 from 145 to get 10, which is the remainder. Since there are no more digits to bring down, we have completed the division.The result of 1495÷45 is 33 with a remainder of 10. Therefore, 1495 divided by 45 is 33 remainder 10.
When considering significant figures in division, it's similar to the example stating that dividing 125 by 307 gives a long decimal, but we limit the precision to that of the least precise number. In this case, since 1495 and 45 both have three significant figures, the result of the division should also be limited to three significant figures, which our result of 33 (with a remainder) naturally complies with.
Carlita planted 4 flowers in 9 minutes. About how many flowers can Carlita plant in 36 minutes
Which one don't belong; which expression does not have a two-digit quotient. 519÷6, 915÷7, 439÷7, and 812÷9
We need to find which of the expressions does not have a two digit quotient.
The only expression which does not have a two digit quotient is [tex]\dfrac{915}{7}[/tex].
Let us check each expression
[tex]\dfrac{519}{6}[/tex]
Dividing each by three
[tex]\dfrac{173}{2}=86.5[/tex]
So, the quotient is betweem 86 and 87.
[tex]\dfrac{915}{7}[/tex]
[tex]7\times 130=910[/tex]
[tex]7\times 131=917[/tex]
So, the quotient will lie between 130 and 131.
[tex]\dfrac{439}{7}[/tex]
[tex]7\times 62=434[/tex]
[tex]7\times 63=441[/tex]
So, the quotient will lie between 62 and 63.
[tex]\dfrac{812}{9}[/tex]
[tex]9\times 90=810[/tex]
[tex]9\times 91=819[/tex]
So, the quotient will lie between 90 and 91.
Hence, the only expression which does not have a two digit quotient is [tex]\dfrac{915}{7}[/tex].
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At a recent Sing Thing, it was found that together, Anne and Bob weigh 180 kg, Carl and Dee weigh 210kg, and Ann and Carl weigh 220kg. Together, Bob and Dee weigh,
Your grandparents bring you a 1:800 scale model of the Eiffel Tower after a trip to Paris. The height of the model is 40.5 centimeters. Find the actual height x (in centimeters) of the Eiffel Tower.
Final answer:
The actual height of the Eiffel Tower is found by multiplying the height of the 1:800 scale model (40.5 cm) by the scale factor (800), resulting in an actual height of 32,400 centimeters.
Explanation:
To determine the actual height of the Eiffel Tower given a 1:800 scale model, you'll need to set up a proportion where the scale factor corresponds to the actual size and the model size. The model Eiffel Tower you've been given is 40.5 centimeters tall. Since the scale is 1:800, that means 1 centimeter on the model represents 800 centimeters in reality.
To find the actual height, you simply multiply the height of the model by the scale factor:
Actual height (x) = Model height × Scale factor
x = 40.5 cm × 800
x = 32,400 cm
Therefore, the actual height of the Eiffel Tower is 32,400 centimeters.
Veena ate lunch at a deli. She ordered a turkey sandwich for $9.25 and a salad for $4.35. The tax was 7.5%. What is the amount of tax for Veena's meal?
Answer: 1.02$
Explanation:
First of all, let's calculate the total amount payed by Veena for her meal:
[tex]t=9.25\$+4.35\$=13.6\$[/tex]
The tax was 7.5%, which corresponds to a fraction of
[tex]7.5\% = \frac{7.5}{100}[/tex]
therefore, the amount of tax payed by Veena for her meal is
[tex]tax = \frac{7.5}{100} \cdot t= \frac{7.5}{100} (13.6\$)=1.02\$[/tex]
Final answer:
To find the tax amount for Veena's meal, add the cost of her turkey sandwich and salad to get $13.60, then multiply it by the tax rate of 7.5%, resulting in a tax amount of $1.02.
Explanation:
To calculate the amount of tax for Veena's meal, you first need to add the cost of the turkey sandwich ($9.25) and the salad ($4.35) to get a total meal cost. Then, you'll convert the tax rate from a percentage to a decimal by dividing by 100 (7.5% becomes 0.075) and multiply this rate by the total meal cost to find the amount of tax.
Total cost of meal = $9.25 + $4.35 = $13.60
Tax amount = Total meal cost × Tax rate = $13.60 × 0.075 = $1.02
Therefore, the amount of tax for Veena's meal is $1.02.
whats is 2,000,000×543,754
mr.Allen estimated that 50 people at a basketball game were cheering for the vsiting team.Select all of the statement that could represent this estimate
The correct options that could represent Mr.Allen's estimate are:
a. The number of people cheering for the visiting team is at least 50.
b. The number of people cheering for the visiting team is at most 50.
c. The number of people cheering for the visiting team is exactly 50.
d. The number of people not cheering for the visiting team is 50 less than the total number of spectators at the game.
Mr.Allen's estimate that 50 people were cheering for the visiting team can be interpreted in several ways based on the given options:
a. The statement "The number of people cheering for the visiting team is at least 50" suggests that there could be 50 or more people cheering for the visiting team. This is a possible interpretation of Mr.Allen's estimate because he could have counted 50 people for sure, and there might be more that he did not count or include in his estimate.
b. The statement "The number of people cheering for the visiting team is at most 50" implies that there are 50 or fewer people cheering for the visiting team. This is also a possible interpretation because Mr.Allen's estimate might represent an upper limit to his count, meaning he did not count more than 50 people.
c. The statement "The number of people cheering for the visiting team is exactly 50" indicates that the count is precise, with no more and no less than 50 people. This is a straightforward interpretation of Mr.Allen's estimate, where he is confident that the number is exactly 50.
d. The statement "The number of people not cheering for the visiting team is 50 less than the total number of spectators at the game" is based on the assumption that the total number of spectators minus the 50 people cheering for the visiting team would give the number of people not cheering for the visiting team. This is a valid interpretation if we assume that Mr.Allen's estimate is accurate and that the total number of spectators is known.
Therefore, all four statements could represent Mr.Allen's estimate, depending on the context and precision of his observation.
Help me!!! #29 and #30
The Reagan school marching band has three percussion musicians. How many musicians altogether in band ? 1/3 wood winds 1/6 percussion 1/2 brass
10 students in Mrs. Porths class bring muffins to the bake sale. Six Students bring bran muffins. the rest bring 6 blueberry muffins each. how many blueberry muffins do the students bring?
last year Austin Texas received 20 inches of rainfall. this year Austin received 18 inches of rainfall. find the percent of decrease in the number of inches of rainfall. round your answer to the nearest tenth of a percent if necessary
Store ABC sells 8 lbs. of oranges for $6.00. Store XYZ sells 14 lbs. or oranges for $11.20. Which store is less expensive, and by how much per pound?
1. ABC is less expensive by $.50 per pound
2. XYZ is less expensive by $.50 per pound
3. ABC is less expensive by $.05 per pound
4. XYZ is less expensive by $.05 per pound
PLEASE ANSWER BOTH QUESTIONS
1) Which set is a function?
A) {(0,3), (3,0), (0,4), (4,0)}
B) {(0,2), (2,0), (4,6), (6,4)}
C) {(2,6), (3,6), (4,6), (2,0)}
D) {(6,2), (2,0), (4,6), (6,4)}
2)Which set of ordered pairs does NOT represent a function?
A) (0, 1), (2, 2), (4, 8), (-2, 7), (5, 8)
B) (0, 1), (2, 2), (4, 8), (2, 7), (5, 8), (7, 9)
C) (-3, 6), (2, 7), (0, 5), (1, 5), (4, 9), (5, 4)
D) (-4, 2), (-3, 2), (-2, 2), (-1, 2), (0, 2), (1, 2)
Given ΔRST : ΔLMN, which of the following is true
Answer:
∠ R ≅ L
Step-by-step explanation:
to anyone who still needs this, hope this helps! have a great day <3
(i had this on a assignment and got it right, that's how i know the answer.)
Abby walked 3/4 mile on Saturday and7/12 mile on Sunday. How many miles did she walk in all? A. 5/8 mi B. 5/6 mi C. 1/3 1 mi D. 1/2 1 mi
How do you write 32% as a fraction, mixed number, or whole number in simplest form?
6 and p - 6 in standard form
The perimeter of a rectangle is 222 millimeters. If the length of the rectangle is 60 millimeters, what is the width of the rectangle?
Today is my birthday! Four-fifths of my current age is greater than three-quarters of my age one year from now.
Given that my age is an integer number of years, what is the smallest my age could be?
In a recipe of pancake , to make 4 pancakes they need 1/4 pint of milk.If you want to make 14 pancakes , how much milk is needed. Please help and show work plz.
Two years of local Internet service costs $685, including
the installation fee of $85. What is the monthly fee?
At a warehouse, the employees can unload 18 trucks in 6 hours. What is the unit rate for unloading trucks?
The unit rate for unloading trucks at the warehouse is 3 trucks per hour, which is calculated by dividing the total number of trucks (18) by the total number of hours (6).
To calculate the unit rate for unloading trucks at the warehouse where employees can unload 18 trucks in 6 hours, we simply divide the total number of trucks by the total hours. This gives us the unit rate of trucks per hour.
Unit rate calculation formula:
Unit Rate = Total Number of Trucks Total Number of Hours
Unit Rate = 18 trucks 6 hours
Unit Rate = 3 trucks per hour
Therefore, the employees at the warehouse have a unit rate of unloading 3 trucks per hour.
solve the system of linear equations using substitution. Which expression would be eastier to substitute into the other equation, in order to solve this problem?
Round this number 5,370,288 to the nearest 100,000
Mr. Watson buys 4 gallons of paint that cost $34 per gallon how much does Mr. Watson spend on paint
-3x+8 for x=-3
What would the answer be?
What is 16 out of 24 as a percentage?
16 out of 24 is equivalent to 66.67% as a percentage.
To convert 16 out of 24 to a percentage.
Now, to divide the numerator (16) by the denominator (24) and multiply by 100.
= 16/24 x 100
= 0.6667 x 100
= 66.67%
Therefore, 16 out of 24 is equivalent to 66.67% as a percentage.
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The gym at Evergreen School has three basketball courts.There are 5 players on each of the courts.How many players are there?
List 75% , 1/6 , 3/8 , and 0.625 from least to greatest . :) PLZ HELP