Answer: 102
Step-by-step explanation:
Let the numbers be a, a+2 and a+4. Since the sum of three consecutive even numbers is 312, this will be:
a + a+2 + a+4 = 312
3a + 6 = 312
3a = 312 - 6
3a = 306
a= 306/3
a = 102
Therefore, the smallest number is 102.
Other numbers are 104 and 106.
Kiara invested some money into a savings account that earns 2.7% annual simple interest. At the end of 5 years, she earned $6.62 in interest. How much money did she put into the account initially? Round to the nearest dollar.
The initial amount that was invested in the account was $49.
What is the principal?We know that we can be able to obtain the principal by the use of the formula for the simple interest and by that formula we would now have that;
I = PRT/100
I = interest
P = principal
R = rate
T = time
Then we are going to have that;
R = 2.7
P = ?
I = 6.62
T = 5
Then;
6.62 = P * 2.7 * 5/100
6.62 * 100 = P * 2.7 * 5
P = 6.62 * 100/2.7 * 5
P = 662/13.5
P = 49
Thus we have but in at the beginning about $49
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a restaurant offers 7 appetizers and 9 main courses. In how many ways can a person order a two-course meal
A community theater performed a play each Saturday evening for 10 consecutive
weeks. The graph shows the attendance for the performances in weeks 1, 4, 6, and 10.
Describe the rates of change in attendance with respect to time.
Weeks 1-4:
Weeks 4-6:
Weeks 6-10:
300
250
200
150
100
50
y
Attendance
Play Attendance
(4, 230)-
(1,131)
(6,208)
(10,60)
Week of performance
0
0 1 2 3 4 5 6 7 8 9101112
The rates of change in attendance in week 1-4 is 33, week 4-6 is -11, week 6-10 is -37 people per week
What is rate of change of attendance?The rate of change in attendance with respect to time is calculated by taking the difference in attendance between two weeks and dividing by the number of weeks between those weeks. This is done to find the average rate of change in attendance per week. The formula used is:
[tex]Rate =\frac{Attendance at week 2 - Attendance at week 1}{week 2 - week 1}[/tex]
Weeks 1-4:
The rate of change in attendance with respect to time is 33 people per week. This can be calculated by taking the difference in attendance between weeks 1 and 4 (230-131) and dividing by the number of weeks between those weeks (4-1 = 3).
[tex]rate =\frac{230-131}{4-1}\\[/tex]
hence rate is 33 people per week
Weeks 4-6:
The difference in attendance between weeks 4 and 6 (230 - 208)
The number of weeks between those weeks (6-4 = 2).
[tex]rate =\frac{208-230}{6-4}[/tex]
Hence rate is -11 people per week
Weeks 6-10:
The difference in attendance between weeks 6 and 10 (60-208)
The number of weeks between those weeks (10-6 = 4).
[tex]rate=\frac{60-208}{10-6}[/tex]
Hence rate is -37 people per week
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At a sale this week, a table is being sold for $429. This is a 34% discount from the original price, what was the original price?
Answer:
$574.86
Step-by-step explanation:
First you need to find 34% of 429 which is 145.86. Then you add the 145.86 to 429 which ends up being a total of $574.86.
Hope this helped :)
8. Determine whether each relation is a function. a. 2 3 -2 -1 -2 X 4 5 3 4 5 3 7 0 y b. 1 2 1 2 X 7 2 y 3 4 y 5 6 5 fur
on solving the equation, we have therefore the value of x from the given equation comes out to be 13.5
What is equation?An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.
equation given is 3(x+2)=7x-48
value of x
[tex]3(x+2)=7x-48\\ 3x+6=7x-48\\7x-48-3x-6=0\\ 4x-54=0\\ 4x=54\\ x=54/4\\ x=13.5\\[/tex]
value of x from the given equation comes out to be 13.5
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In some cities you can rent a car for $18 per day and $0.20 per miles. a. Find the cost of renting the car for one day and driving 200 miles.
The cost of renting the car for one day and driving 200 miles is $54.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, In some cities you can rent a car for $18 per day and $0.20 per miles.
Establishing the equation for finding total cost y for x miles and d days
y = 18d + 0.2x
For 200 miles, the cost =
y = 18×1+0.20×200
y = 18+40
y = $54
Hence, the cost of renting the car for one day and driving 200 miles is $54.
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Katerina needs 200 balloons fillied with helium for a party. She knows that each balloon will need 0.7ft^3 of helium. the helium canisters hold 0.20m^3. 1m^3 = 35ft^3. How many Canisters will Katerina need to buy?
=======================================================
Explanation:
1 balloon = 0.7 ft^3 of helium
200 balloons = 200*0.7 = 140 ft^3 of helium
Katerina needs 140 cubic feet of helium to fill all 200 balloons.
---------------
1m^3 = 35ft^3 which is approximate
0.2 m^3 = 0.2*35 = 7 ft^3
Each canister holds approximately 7 cubic feet of helium.
----------------
To summarize so far.
Katerina needs 140 cubic feet of helium.Each canister holds approximately 7 cubic feet of helium.Let x be the number of canisters. Because of fact 2 mentioned above, 7x represents the total amount of helium from all of the x number of canisters.
Set this equal to the amount she needs (140) and solve for x.
7x = 140
x = 140/7
x = 20
Katerina needs 20 canisters.
Salma spent a total of $40 at the grocery store. Of this amount, she spent $26 on fruit. What percentage of the total did she spend on fruit?
so, if we take 40(origin amount) to be the 100%, what is 26 off of it in percentage anyway?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 40 & 100\\ 26& x \end{array} \implies \cfrac{40}{26}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 20 }{ 13 } ~~=~~ \cfrac{ 100 }{ x }\implies 20x=1300\implies x=\cfrac{1300}{20}\implies x=65[/tex]
About how many pieces of 3 1/2 inch wood can be cut from a 34-inch piece of wood?
Please, may someone help me?? 25 points on the line
Write the ratio for Sin M.
Answer:
i forgot
Step-by-step explanation:
If Catherine traveled 2,000 miles in 5 hours on her plane flight to her vacation destination, at what rate was the plane traveling?
A.
410 mph
B.
405 mph
C.
400 mph
D.
390 mph
A woman leaves home at 7 am and drives to New York City 200 miles away. If she averages 50 miles per hour, what time will she arrive at the city
Answer:
11 AM
Step-by-step explanation:
Mile Calculation:
200 miles away and 50 miles per hour.
200 divided by 50 is equal to 4
Answer:
Now, 7 am + 4 hours is equal to 11 AM.
7sur 15 plus 6sur25 FRACTION
Answer:
53/75
Step-by-step explanation:
15 = 3 × 5
25 = 5²
PPCM = 3 × 5² = 75
75/15 = 5
75/25 = 3
7/15 + 6/25 =
= (7 × 5)/(15 × 5) + (6 × 3)/(5 × 3)
= 35/75 + 18/75
= 53/75
whats the second step of calculating the present value of an ordinary annuity by table lookup
The second step of calculating the present value of an ordinary annuity by the table lookup is to look up the periods and rates in the PV annuity table.
What is the present value of an ordinary annuity?The present value of an ordinary annuity is the current value based on future cash inflows of the annuity, given a specified discount rate.
The present value is higher when the discount rate is lower, and vice versa.
The present value of an ordinary annuity, which discounts the annuity to the current time, is computed as Annuity Payment x Present value of the ordinary annuity table.
In conclusion, an annuity simply means a series of periodic payments and may involve payment at the beginning (annuity due) or at the end of the period (ordinary annuity).
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Which of these systems of equations has infinitely many solutions? Explain your choice(s).
a. (1/2)x - 5y = 10
(-1/2)x + 5y = -10
b. 7x + 2y = -14
-7x + 2y = -14
c. x + 6y = -18
x - 6y = 18
d. (3/4)x - 9y = 12
(-3/4)x + 9y = 12
please give me an real answer on games 25 points on the line
Answer:
Its equal.
Step-by-step explanation:
if its right can you pls mark brainliest? if its not a bother
What is the radius of a globe that has a volume of 268.08 in³?
Answer:
4 inches is the radius
Step-by-step explanation:
Steven is researching prices on living room sofas in order to determine what a typical sofa costs. Which statement correctly explains why the median price would be
more useful to Steven than the mean price?
A. The median price is the most common price.
B. The mean price might not be an actual price.
C. The mean price can be greatly changed if a few extremely high prices are included.
D. The median price is always changed when extremely high prices are included.
Answer:
the answer is c because it can be either greatly increased or decreased
One solution.
2x - 1 = ____x - 1
the blank space must be 2 or x must be zero, I don't know what you mean by one solution
the blank must equal 2 because on the right side the coefficient of x is 2 so it must be same
Find the volume of the solid
Volume = h × l × b
= 3.6 × 2.1 × 1.5
= 11.34 m³
Rewrite the following expression using the Distributive Property. 5(2x -8)
A. -30x
B. 10x -40
C. 10x + 40
D. 10x -8
I think it is either B or C but I'm not sure.
Answer:
B. 10x -40
Step-by-step explanation:
To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.
Which of the following is a true proportion of the figure based on the triangle proportionality theorem?
Answer: [tex]\frac{c}{d} = \frac{a}{b}[/tex]
Step-by-step explanation:
By the given figure, the triangle's sides appear congruent. By the Segment Addition Postulate:
RT + TQ = RQ and
RU + US = RS
Substitute this with the given variables.
c + d = RQ
a + b = RS
From this, we can create the following proportion:
[tex]\frac{c}{d} = \frac{a}{b}[/tex]
Use Exponential Functions
Complete the table for the following function
Graph the function and describe what the graph looks like.
a. Increases in Quadrant
b. Increases from left to right
c. Decreases from left to right
d. Decreases in Quadrant III
Please select the best answer from the choices provided
Answer:
B. Increases from left to right
Step-by-step explanation:
I calculated it logically
what is the answer
................................................
Answer:
1/5
Step-by-step explanation:
2/5x1/2=2/10=1/5
HELP PLEASE!!!!!!
Find unit rate round to nearest hundredth if necessary
NO FILES PLEASE
Answer:
3.58
im guessing . soorry
Answer:
I pretty sure it the first option
find each angle measure to the nearest degree
Find m.
E
F
1.25 m
3 m
D
if correct will mark brainless :))
EF=2.73m;m<D
=65;m<F=25*
Hope this helps
Juan is selling tickets for a high school playChild tickets cost $3 and adult tickets cost $10. He selts 205 tickets and collects $1560
Answer:
135 Adult tickets and 70 Child tickets sold
Step-by-step explanation:
135*10 (adult ticket price) = 1,350
70*3 (child ticket price) = 210
$1,350 + $210 = $1,560
135 + 70 = 205 tickets sold
m × m × r = 5 × 4 × 5; then r =
Answer: 5
Step-by-step explanation:
Which measure of variation should you use to describe
two data sets that are both not symmetric?
Answer:
Mean absolute deviation (MAD).
Step-by-step explanation:
A random variable often used in statistics and probability, is a variable that has its possible values as numerical outcomes of a random experiment or phenomenon. It is usually denoted by a capital letter, such as X.
In statistics and probability, random variables are either continuous or discrete.
1. A continuous random variable is a variable that has its possible values as an infinite value, meaning it cannot be counted.
Example are the height of a randomly selected person, time it take to move from Texas to New York city, etc.
2. A discrete random variable is a variable that has its possible values as a finite value, meaning it can be counted.
Examples are the number of light bulbs that burn out in the next year in a room with 19 bulbs, the number of chicken in a district etc.
In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.
The mean absolute deviation also referred to as mean deviation can be defined as the average of the distance or absolute deviations between the central point of a data set. Thus, it used by statisticians to illustrate the variability or statistical dispersion in a data set.
Mean absolute deviation (MAD) is a measure of variation that should be use to describe two data sets that are both not symmetric i.e they are skewed and as such not having a mirroring image.
Students have a height is less than what number 58?62?64?70?
Answer:
C 64 students have half the height