Answer:
5.4
Step-by-step explanation:
Conversion a mixed number 3 2/
5
to a improper fraction: 3 2/5 = 3 2/
5
= 3 · 5 + 2/
5
= 15 + 2/
5
= 17/
5
To find a new numerator:
a) Multiply the whole number 3 by the denominator 5. Whole number 3 equally 3 * 5/
5
= 15/
5
b) Add the answer from previous step 15 to the numerator 2. New numerator is 15 + 2 = 17
c) Write a previous answer (new numerator 17) over the denominator 5.
Three and two fifths is seventeen fifths
Conversion a mixed number 5 1/
4
to a improper fraction: 5 1/4 = 5 1/
4
= 5 · 4 + 1/
4
= 20 + 1/
4
= 21/
4
To find a new numerator:
a) Multiply the whole number 5 by the denominator 4. Whole number 5 equally 5 * 4/
4
= 20/
4
b) Add the answer from previous step 20 to the numerator 1. New numerator is 20 + 1 = 21
c) Write a previous answer (new numerator 21) over the denominator 4.
Five and one quarter is twenty-one quarters
Add: 17/
5
+ 21/
4
= 17 · 4/
5 · 4
+ 21 · 5/
4 · 5
= 68/
20
+ 105/
20
= 68 + 105/
20
= 173/
20
It is suitable to adjust both fractions to a common (equal, identical) denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - LCM(5, 4) = 20. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 5 × 4 = 20. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - seventeen fifths plus twenty-one quarters is one hundred seventy-three twentieths.
Answer:
Decimal: 5.4
Fraction: 5 2/5 or 27/5
Step-by-step explanation:
Decimal:
5 1/4 = 5.25
-3 2/5 = -3.4
5.25 + 3.55 - 3.4 (Simplified)
= 5.4
Fraction:
-3.55 = -71/20 or -3 11/20
5 1/4 + 3 11/20 - 3 2/5 (Simplified)
= 5 2/5
A farmer owns a total of 10 5/6 acres of land. The land is separated into 5 equally sized sections. How many acres are in each section? Write your answer as a mixed number in simplest form.
Answer: 2 1/6
Step-by-step explanation: First, convert 10 5/6 into a mixed number: 65/6, then divide by 5/1.
65/5=13
6/1=6
You then have 13/6.
Convert it to a mixed number: 2 1/6
Answer:
Step-by-step explanation:
1=2 so 12
32 people will each drink a glass of lemonade. It takes 6 lemons to make one glass. If lemons are sold in bags of 10, how many bags should he buy?
Answer:
20 bags
Step-by-step explanation:
they should by 20 bags because 6 x 32 will equal how many lemons total you need. then you divide that number by 10.
Answer:
He should buy 20 bags of lemons.
Step-by-step explanation:
Okay, so the first step will be to see how many lemons we first need. We do this by multiplying the 32 people and the 6 lemons:
32 x 6 = 192 lemons
The next step is to find out how many bags we need. So, we know we have 192 lemons and each bag of lemons contain 10, so we need to divide 192 by 10.
192 divided by 10 = 19.2
Now, 19.2 isn't the answer because it is not a whole number. We can't buy a fraction of lemons. So, we need to buy 1 more extra bag to be able to have all 32 people be able to have some lemonade:
19 + 1 = 20 bags of lemons.
May I have Brainliest please? My next rank will be the highest one: A GENIUS! Please help me on this journey to become top of the ranks! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
in 2022 joey chestnut won nathans hot dog eating contest by eating 63 hotdogs in 10 minutes how many hotdogs did he eat per minuete? type your anwser as a mixed anwser
Answer: 6 and 3/10 because 60 divided by 10 is 6 and 3 will be 3/10 since it says he ate it in 10 minutes.
Jin’s mother estimates there is a half gallon of fruit punch remaining in the container. There is actually 72 ounces of fruit punch in the container. What is the percent error of Jin’s mother’s estimate, rounded to the nearest tenth?
PLS I NEED HELP ITS DUE IN 10 MINUTES!!!!!!
Answer: 0.7 I think
Step-by-step explanation:
The percent of error of Jin's mother's estimate is 4,9% (4,9 percent)
The Percent of error of Jin's mother's estimate can be calculated as follows ?
The first step is to convert a half gallon to ounces
1 gallon = 153,722 ounces
= [tex]\frac{1}{2}[/tex] × 153,722
= 76,861 ounces
The next step is calculate the error between Jin's mother's estimate (76,861 ounces) and the actual amount of fruit punch in the container (72 ounces)
The error = 76,861 - 72
= 4,861
Third step is to round the calculated the percent error to the nearest tenth.
4,861 ÷ 100 = 4,861%
The final step is to round it to the nearest tenth by round the second digit behind the coma which has value more than 5 to the higher number of the first digit behind the coma.
4,861% = 4,9%
Hence, the percent error of Jin's mother's estimate is 4,9% (4,9 percent)
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Suppose you plan to spend no more than $24 on meat for a cookout. Hamburger costs $3.00/Ib and chicken wings cost $2.40/Ib. Write and graph an equation to find three possible combinations of hamburger and chicken wings you can buy.
Angle B and angle C are supplementary. If the measure of angle B is 14 times the measure of angle C, what is the difference between the angles' measures?
Enter your answer as the correct number of degrees, like this: 42
explain why
Answer:
156
Step-by-step explanation:
Let measure of angle C = x.
Then, the measure of angle B is 14x.
14x + x = 180
15x = 180
x = 12
14x = 14(12) = 168
168 - 12 = 156
I will give brainliest to whoever answers first and gives me the answer for every question and it must be understandable.
Answer:B
Step-by-step explanation:You have to multiply the fractions.
Which set of points could represent one of the side lengths of a square that is congruent to the one shown on the coordinate plane?
The set of points that represent one side of the given square is (C) (−2, −2) and (−8, −2).
What are squares?A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can alternatively be explained as a rectangle with two neighboring sides that are of equal length.The square's angles are at a straight angle or 90 degrees. The square's diagonals are also equal and split at a 90-degree angle.So, in the given figure of the square on the graph:
Let, us first label line AB.Now, count the coordinates of points A and B.We can easily tell that the coordinates are:
A: (-2, -2)B: (-8, -2)Therefore, the set of points that represent one side of the given square is (C) (−2, −2) and (−8, −2).
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Correct question:
Which set of points could represent one of the side lengths of a square that is congruent to the one shown on the coordinate plane?
A) (−7, −8) and (−7, 2)
B) (−3, −2) and (−3, −8)
C) (−2, −2) and (−8, −2)
D) (−3, −4) and (−6, −4)
Shawn invites some friends over for pizza and a movie. He makes a small cheese pizza for himself and a large pepperoni pizza for his friends. Shawn uses 0.75 pounds of dough for the cheese pizza and twice as much dough for the pepperoni pizza. How much dough does Shawn use in all?
Answer:
The amount of dough used for the pepperoni will be twice that of the cheese or 2 times the amount of dough.
Step-by-step explanation:
Paddling with the current, a group of kayakers traveled 9 miles in 2 hours. Paddling back, they traveled 4 miles in the same amount of time. What was the speed of the current and the speed of the kayakers in still water?
Please do not answer 3.25 and 1.25 they are incorrect.
Answer: the speed of the current is 5 miles an hour
Step-by-step explanation:
9-4=5
How much interest is earned on $2,078.24 at 0.6% for eight years?
Hey! I have a assignment due soon about transversals of parallel line: solve for x. If someone can help it would be great. Thank you!
Answer:
x = 20
Step-by-step explanation:
For each description, write each percent increase or decrease as a percentage of the initial amount.
Then write an equation for the situation. The first one is done for you.
a) There were 22% fewer sunny days this year than last year.
1) What is the percent of the initial amount?
2) What is the equation?
(You have 2 days to do this please :) )
HELP ME THIS IS URGENT!!!!!!!!!!!!!!
Are 9/12 and 21/24 equivalent ratios? Explain.
1st divide
9/12= 0.75
21/24=0.875
therefore 21/24 is a greater fraction
Every different letter in this addition problem stands for a different digit. A letter stands
for the same digit everywhere it appears. Find the value of TEST.
HE
+SET
THE
———
TEST
Answer:
2051920
Step-by-step explanation:
Alright look what you want to do is first see the letters it says "HE" which means you count from A to Z so A1 B2 C3 D4 E5 F6 G7 H8 I9 J10 K11 L12 M13 N14 O15 P16 Q17 R18 S19 T20 U21 V22 W23 X24 Y25 Z26 so you would use that to change letter to a number. so HE is 85 SET is 19520 THE is 2085 and TEST would be 2051920
so
85
+19520
2085
----------
2051920
Sorry for over complicating it
Using simple mathematical operations, the value of TEST is 20,51,920.
What are mathematical operations?Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers.A rule that specifies the right procedure to follow while evaluating a mathematical equation is known as the order of operations. Parentheses, Exponents, Multiplication, Division (from Left to Right), Addition, and Subtraction are the steps that we can remember in that order using PEMDAS (from left to right).So, the value of the TEST will be:
The letter stands for the same digit everywhere it appears.We have, HE + SET + THE = TEST.Then,
H = 8, E = 5 ⇒ HE = 85S = 19, E = 5, T = 20 ⇒ SET = 19520T = 20, H = 8, E = 5 ⇒ THE = 2085Now,
85 + 19520 + 2085 = TEST20,51,920 = TESTTherefore, using simple mathematical operations, the value of TEST is 20,51,920.
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Stacie makes 20% profit on all of the money she collects on her paper route. If Stacie
has 58 customers and each pays $1.25 per week how much is her profit in 4 weeks?
Hey, 50 points!
Harrison and Alex are putting a fence around a field that has a perimeter of 384ft. The length is 6ft greater than 2 times the width. Find the width of the field.
a perimeter is made up of a length and width, obviously, so you can write that out algebraically as 2L+2W=P. Now, since the length is 6ft greater than 2 times the width, it can be written as 2W+6. If we plug our new L value in now, we would make the equation 2(2W+6)+2W=P. From here on out, you just gotta plug and chug.
2(2W+6)+2W=P
2(2W+6)+2W=384
4W+12+2W=384
6W+12=384
6W=372
W=62
A lifeguard earns $7.50 per hour.
Represent the lifeguard's rate of income by completing the table.
Choose the correct answer for each box. Not all answers will be used.
If a loan is taken out for $40.54 at 0.9% and costs $1.09, how long was the loan for?
Answer:
2 YEAR AND 9 MONTHS
Step-by-step explanation:
solution,
given,
principle [p]=40.54
rate [r]=0.9
interest=1.09
time[t]=?
now,
t=I*100/P*R
109/40.54*0.9
109/36.48
=2.9
-3.3-(-6) as an equivalent addition expression
Answer: 19.8
Step-by-step explanation: distribute -3.3 into -6 by multiplying them together
7. Complete the table (10 points)
Word/Phrase
Symbol
Word/Phrase
Symbol
Word/Phrase
Symbol
"is"
"times"
"quotient"
“more than”
"difference"
"sum"
“less than”
"product"
"product"
“increased by”
"decreased by"
"combined"
“minus”
"out of"
"yields"
“gives”
"of"
"percent"
(by 100)
Refer to the attachment for the answer.
What is the percentage?
It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
What is the quotient?
When two numbers are divided by each other, the result is a quotient. For instance, when we divide 6 by 3, the result is 2, which is the quotient. An integer or a decimal number can be the quotient. We have an integer as the quotient for precise divisions, like 10 5 = 2, and a decimal for erroneous divisions, like 12 5 = 2.4.
As shown in the table, the words- is, gives, and yields will have the equal sign
Another name for subtraction is a difference. Times, product, and multiplication will have the same symbols.
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Can you please help me????
Answer:
19.2
Step-by-step explanation:
[24 + 1.5(16)] / 2.5 = 19.2
Or
[24 - 1.5(16)] / 2.5 = 0
Answer:19.2
Step-by-step explanation:
Hello! I need help on this assignment since it’s due soon! It is about transversals of parallel line: solve for x. Thank you!
Answer:
x=24
Step-by-step explanation:
A gas company charges a $16 monthly service fee and $0.6924 per hundred cubic feet of natural gas used during a month. Which equation best represents Y, the gas company’s monthly charged in dollars for using X hundred cubic feet natural gas?
A. Y = 0.6924x - 16
B. Y = 16x + 0.6924
C. Y = 16x - 0.6924
D. Y = 0.6924 + 16
The correct equation that represents Y, the gas company’s monthly charge in dollars for using X hundred cubic feet of natural gas is:
Y = 0.6924X + 16
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The correct equation that represents Y, the gas company’s monthly charge in dollars for using X hundred cubic feet of natural gas is:
Y = 0.6924X + 16
Now,
Option A has the correct variable coefficients, but the constant term is negative, which is not correct as a monthly service fee is always positive.
Option B has the correct constant term but the variable coefficient is positive, which doesn't make sense as the company charges per hundred cubic feet of natural gas used.
Option C has a similar problem as option A.
Option D has incorrect variable and constant terms.
Therefore,
The correct equation is Y = 0.6924X + 16.
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Data set 1: Has a mean of 84 and a MAD of 6. Data set 2 Has a mean of 78 and a MAD of 8 I need to find out what the means to Mean Absolute Deviation (MAD) ratio is.
My teacher keeps telling me that it is 0.75, but I can't seem to get the right formula to it to answer right. can anyone help?
Answer:
0.75 or 6/8
Step-by-step explanation:
This is probably a late answer but I thought I would go ahead and respond.
When you have two data sets with the same variance, the ratio of the means to MAD is a way to test for the pooled variance of the two data sets
Given Data Set 1 with mean M1 and mean absolute deviation with MAD1 and another data set 2 with mean M2 and MAD2 the means to MAD ratio is given by the ratio of the absolute difference in means to the largest of the MADs
Here M1 = 84 and M2 = 78 so the absolute difference is |84-78| = 6
The larger MAD is MAD2 = 8
So the ratio is 6/8 = 3/4 = 0.75
The little dots are the answers, which two do I choose?
Answer: (8,5) and (16,10)
Step-by-step explanation:
The number of questions per minute is 0.625. To find the points, multiply 0.625 by the x-values of each point, and if it corresponds with any of the y-values you see, that'll be the points you choose.
Answer:
Step-by-step explanation:
(8,5) (16,10)
You invested $45.12 and received $45.75 after two years. What was the interest rate?
Step-by-step explanation:
check for the Financial present formula
Answer:
Step-by-step explanation:
5% x $1,000 x 4 = $200 so its 200
A fly can walk around a cubical block in two minutes. How long will it take the fly to walk along the edges of the cube from one corner to the opposite corner if it walks at the same rate?
Answer: 90 seconds or 1.5 minutes
Step-by-step explanation: 2 minutes(120 seconds) divided by 4 edges equals 30 seconds per edge. To get from 1 corner to the diagonally opposed opposite corner the fly would walk on 3 edges, so it would take 90 seconds
The time taken to cross from one corner to another diagonally is 90 seconds or 1.5 minutes.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that a fly can walk around a cubical block in two minutes.
The time taken to cover all the one edge is,
T = 120 / 4
T = 30 seconds
To get from 1 corner to the diagonally opposed opposite corner the fly would walk on 3 edges, so it would take 90 seconds. Mathematically written as,
To = 3 x 30
To = 90 seconds
To = 1.5 minutes
Therefore, the time taken to cross from one corner to another diagonally is 90 seconds or 1.5 minutes.
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George runs cross country. He runs 3 miles in 24 minutes. If he keeps the same pace how long will it take him to run 7 miles?
After buying dinner, Julia had 34$ left over. She spent 3$ on cranberry sauce, 12$ on stuffing, and 31$ on the turkey. How much money, m, did Julia start with?