The verbal statement '6 times the sum of a number t and 5 is s' is translated into the algebraic equation 6(t + 5) = s, which is a linear equation used to solve for either t or s.
Explanation:The student's question involves creating an algebraic equation from a verbal statement. In this case, the expression '6 times the sum of a number t and 5 is s' can be translated into an algebraic equation. To do so, we first represent the sum of the number t and 5 as (t + 5). We then multiply this sum by 6 to represent '6 times the sum', which gives us the equation 6(t + 5) = s.
This equation allows us to solve for the number t when s is known, or vice versa. It is a basic linear equation that can be used in various mathematical problems to determine the value of s given a specific t, or to find t when s is known.
What does it mean to say that a number is a perfect square? Give on example of number that is a perfect square and of one that is not. Explain your examples.
Answer:
A number called a perfect square means that the number has an exact squared root. In other words, the number has an squared power, which is exact.
Other way to see this, it's taking natural number 1, 2, 3, 4... then, applying the squared power to each one, the results of each squared power is what we call a perfect square. For example, 1, 4, 9, 16, 25, 36,..., are all perfect square, because they are the result of a squared power:
[tex]1^{2}=1\\2^{2}=4\\3^{2}=9\\4^{2}=16\\5^{2}=25\\6^{2}=36[/tex]
Mr. Winkle downloaded 34 more songs than Mrs. Winkle downloaded.
Together they downloaded 220 songs. How many songs did each download?
Please show how you got it...
Mrs. Winkle downloaded 93 songs and Mr. Winkle downloaded 127 songs, which equals the total of 220 songs they downloaded together.
The total number of songs downloaded by Mr. and Mrs. Winkle is 220. If Mr. Winkle downloaded 34 more songs than Mrs. Winkle, we can set up a system of equations to solve for the number of songs each downloaded. Let x represent the number of songs Mrs. Winkle downloaded, so Mr. Winkle downloaded x + 34 songs.
The equation representing the total number of songs downloaded by both is:
x + (x + 34) = 220
Combining like terms gives us:
2x + 34 = 220
Subtracting 34 from both sides, we get:
2x = 186
Dividing both sides by 2, we find:
x = 93
So, Mrs. Winkle downloaded 93 songs and Mr. Winkle downloaded 93 + 34, which is:
Mr. Winkle downloaded 127 songs.
P = a + b + c
Solve for c
A train leaves a station at 10:40 a.m. and arrives at its destination at 1:20 p.m. Find the distance between the stations if the average speed of the train was 60 mph.
Answer:
160 miles.
Step-by-step explanation:
A train leaves a station at 10 : 40 a.m.
and arrives at its destination at 1 : 20 p.m. = 13 : 20 p.m.
Now we will subtract the time of departure to calculate the total time taken by the train.
13 : 20
- 10 : 40
2 : 40 Train took 2 hours 40 minutes to reach its destination.
Now we will convert 2 hours 40 minutes to decimal form.
2 hours and (40/60) = 2.66 minutes
If the average speed of the train was 60 miles per hour.
Since in one hour train traveled 60 miles
Therefore, in 2.66 hours train traveled = 60 × 2.66
= 159.6 ≈ 160 miles
The distance would be 160 miles.
brianna choclotate chip cookies recipe will make about 3 dozen cholotate chip cookies . The recipe calls for 2 1/4 cups of flour and 3/8 cups o baking soda . If brianna was to adjust the recipe to include 1 cup of baking soda how many cups of flour would she need to use
Name the place value to which each number was rounded.0.546 to 0.55
The value of each digit in a number is known as the place value. The place value to which each number was rounded.0.546 to 0.55 is hundredths place value.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
Identification of the place value of a digit in a number:
The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.
Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits
Round 0.546 to the nearest hundredths place value.
We have, 0.546
Rounding to the nearest hundredths place value
4 is in hundredths place value
Since 6 is greater than 5 we can write 4 as 5.
0.55 is our answer.
Thus, if we round to the nearest hundredths place value we get 0.55.
Learn more about Decimal place values here:
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Explain how you can use doubles when multiplying with 4 to find 4x8
Miss Lawrence buys 8 ounces of smoked salmon at $17.98 per pound. How much money does Miss Lawrence spend on the smoked salmon?
16 ounces= 1 pound
Corrine is organizing a bus trip to an amusement park. She has 245 people signed up to go on the trip. The coach buses can seat 55 people per bus. How many buses should Corrine hire?
plz help....Which relation describes a function?
A)
{(0, 0), (0, 2), (2, 0), (2, 2)}
B)
{(−2, −3), (−3, −2), (2, 3), (3, 2)}
C)
{(2, −1), (2, 1), (3, −1), (3, 1)}
D)
{(2, 2), (2, 3), (3, 2), (3, 3)}
The answer is B
a function is a set of ordered pairs such that for each domain element there is only one range element the set of ordered pairs{(-2,-3),(-3,-2),(2,3)(3,2) is the only set that does not pair a domain elemnt with two or more range elements.
Write an expression for the calculation the product of 4 and 4 added to double the number 5
Eight more than 3 times a number is equal to 5 less than twice the number. Find the number.
What is the simplified form of the following expression? 4sg/-5g
find x on the triangle
What is the x-intercept of the line with the equation ?
1/3x+y=-15
( , 0)
Jake earns $12.00 more per week on his paper route than three times the amount, s, that Steve does. Steve earns $15.00 per week. How much does Jake earn per week?
I forgot how to do this
at a summer camp there are 40 boys out of 70 campers what is this ratio written as a fraction in simplist form
A recipe calls for 15 oz of flour for every 8 oz of milk .is the relationship between ounces of four and ounces of milk proportional explain
Answer:
Yes, there is a proportional relation.
Step-by-step explanation:
Given,
Ounces of flour for 8 ounces of milk = 15,
So, the ounces for 1 ounces of milk = [tex]\frac{15}{8}[/tex]
Let y be the ounces of flour for x ounces of milk,
∵ The ounces for x ounces of milk = [tex]\frac{15}{8}x[/tex]
[tex]\implies y = \frac{15}{8}x-----(1)[/tex]
Which is the required relation,
Since,
[tex]0=\frac{15}{8}(0)[/tex] ( True )
I.e. line [tex]y=\frac{15}{8}x[/tex] passes through the origin,
Hence, the relationship (1) is proportional.
Jody is cutting wood to make picture frames. How many pieces of wood that are 10 3/4 inches long can cut from a board that is 75 1/4 inches long?
A) 7 pieces
B) 10 pieces
C) 65 pieces
D) 85 pieces
Maihua jogged for 1/2 hour a 6 km/h she jogged for another 1/4 hour at 8 km/h what distance did she jog altogether.
What polyhedron can be assembled from this net??
Please Help.
5, 6 and 7 have to equal to 37 what multiplication, division, sum and subtraction (I have to use all these) can i do?
C= 2pir solve for r
Please help me with this
Rebecca is planning to visit relatives in Omaha Nebraska. She will drive 610 miles from her home in Indianapolis. On her trip back home, will she be traveling –610 miles? Use mathematical vocabulary to justify your answer.
Rebecca will travel another 610 miles on her way back from Omaha to Indianapolis, not -610 miles, as distance is a scalar quantity and does not adopt a negative sign. The total round trip distance is therefore 1220 miles.
Explanation:When Rebecca returns home from her trip to Omaha, Nebraska, she will indeed travel another 610 miles. However, the use of -610 miles might be misleading in this context. In mathematics, especially when discussing distance, the concept of negative numbers often represents direction rather than decrement. Therefore, saying Rebecca will travel -610 miles could imply direction, but since she is returning to her starting point, the actual distance traveled is 610 miles, the same as her outbound trip.
Distance, as a quantity, is scalar and therefore always non-negative. When keeping track of total distance travelled, irrespective of direction, the concept of positive and negative doesn’t apply—the distance simply adds up. So, the total distance Rebecca travels (going to Omaha and then back to Indianapolis) would be 1220 miles. This demonstrates the concept of absolute value in mathematics, where the focus is on the magnitude of a number without regard to its sign.
two number that have a sum of 45 twice the greater number is six more than 5 times the lesser number
What is 2.75-23.68x=8.04+23.17x ?
the quotient of five times a number and 7 is no more than 10
Jasmine is 5 years younger than twice her sisters age. If Jasmines sister is 22 years old. Then, how old is jasmine
Daniel brought 2.75 pounds of Spanish fried rice to a family dinner. During the meal, Daniel and his family ate 1.25 pounds of rice. At the end, Daniel's friend took home half of the rice that was left after dinner.