At a wedding reception, an equal number of guests were seated at 12 round tables. The 13 people in the wedding party were seated at a rectangular table. There were 121 people at the reception altogether. Which equation could you use to find the number of guests, n, seated at each round table?
What value of x makes the equation below true? 6x-9 39
Carmelo puts $2,200.00 into savings bonds that pay a simple interest rate of 3.4%. How much money will the bonds be worth at the end of 5.5 years?
The bonds will be $2611.40 at the end of 5.5 years.
What is simple interest rate?Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.
Simple interest rate formulaF.V = [tex]P.V (1+rt)[/tex]
F.V = Final value
P.V = Principal value
Given
Principal value P.V = $2200.00
Rate r = 3.4%
Time t = 5.5 years
Simple interest rate formula
F.V = [tex]P.V (1+rt)[/tex]
F.V = [tex]2200(1+3.4 \% \times 5.5)[/tex]
F.V = [tex]2200(1+0.034 \times 5.5)[/tex]
F.V = 2200 × 1.187
F.V = 2611.40
Hence,
The bonds will be $2611.40 at the end of 5.5 years.
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Which sets of values can be the measures of the exterior angles of a triangle?
120°, 110°, 130°
35°, 103°, 122°
123°, 87°, 220°
120°, 120°, 120°
123°, 157°, 90°
can be more than one answer
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.
What is 2.75-23.68x=8.04+23.17x ?
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
Kai is making a chess board using pieces of wood that measure 1 in.². When he finishes, the chessboard will have an area of 64 in.². How many pieces of wood should he put along each side.
Answer:
8
Step-by-step explanation:
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.
the quotient of five times a number and 7 is no more than 10
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.
at a summer camp there are 40 boys out of 70 campers what is this ratio written as a fraction in simplist form
find x on the triangle
What polyhedron can be assembled from this net??
solve each equation x-6=8
The solution to the equation x - 6 = 8 is x equal to 14.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, An expression x - 6 = 8.
Now, Separating the variable and constants by moving them to other sides
we have, x = 8 + 6.
x = 14.
Also moving terms to the other sides changes its sign.
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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?
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
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 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]
a story problem for 7 ×6=42
How do you write 6.7 in two other word forms for a 4th grade assignment
how do i write a direct variation given that y varies directly with x
x: 15 y: -5
What is the simplified form of the following expression? 4sg/-5g
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?
If 2 and 4 each divide q without remainder which of the following must q divide without remainder
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.
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here are 96 girls in a junior class of 176 students. Find the ratio of girls to boys.
Monisha and Dave each sold more magazine subscriptions as part of a fundraiser Monisha rays have as much money as the rays together the race $213.75 what is the total amount of money the money she has raised
Determine the amount potential energy of 5.0kg book that is moved to three different shelves on a bookcase. The height of each Shelf is 1.0 m, 1.5
simplify
7x + 8 = 36
The correct simplification of [tex]7x + 8 =36[/tex] for value of x is 4.
Given expression is:
[tex]7x+8 = 36[/tex]
To simplify the expression,
isolate [tex]x[/tex] on one side of the expression or rearrange the expression rearranging like and unlike terms.
Subtract 8 from both side of the expression:
[tex]7x + 8 -8 = 36 -8[/tex]
[tex]7x = 36-8[/tex]
[tex]7x = 28[/tex]
To solve for [tex]x[/tex] , Divide both side of the equation by 7.
[tex]\dfrac{7x}{x} = \dfrac{28}{7}[/tex]
[tex]x = \dfrac{28}{7}[/tex]
Simplify further,
[tex]x = 4[/tex]
The solution for the equation [tex]7x + 8 =36[/tex] is 4.
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