Answers
Answer:
Since we know that each of the three triplets are the same age we can put next to n, 3.
And given that another child is 14 years old we can put that next to the "+" sign.
In total, it would equal 32, so put the 32 after the equal sign.
It should look like this:
3n + 14 = 32
But now they want us to solve for the triplet's ages, so we just solve for n;
3n + 14 = 32
-14 -14
3n = 18
/3 /3
n = 6, the triplet's ages are 6 years old each.
Related Questions
Solve the following quadratic function by utilizing the souare root method y=x2-1 x= = +[?] ]
Answers
Answer:
x = ±1
Step-by-step explanation:
We have to assume you want the solution for y = 0:
0 = x² -1
1 = x² . . . . . . add 1
±1 = x . . . . . . take the square root
x = ±1
what number is 2/3 of the way from 5 to 14?
Answers
5 is 9 away from 14
so 2/3rds of the way would be 6 away from 5
so that'd be 11
List the two outliers in this graph.
Answers
Answer:
(10.5,14) and (15,3.5)
Step-by-step explanation:
A gas pump fills gas into a flying hot air balloon at a constant rate. The table shows the relationship between the total number of gallons of gas, y, a hot air balloon uses flying for x hours.
pls hurry
Number of Hours Gallons of Gas
2 60
3 90
4 120
a 3x
b 6x
c 30x
d 60x
Answers
Answer: C 30X
Step-by-step explanation:
The average boa constrictor is about 7 1/2 feet long. How many inches is that?
Answers
Answer:
90 In
Step-by-step explanation:
12 x 7 = 84
12 x 1/2 = 6
84 + 6 = 90
Marco created a table to help him represent the sample space of spinning a spinner and flipping a coin. Result of spin Result of coin toss Red Green Yellow Heads Red, heads Green, heads Yellow, heads Tails Red, tails Green, tails Yellow, tails What is the probability that the result of the spin is green and the coin lands tails up? one over six two over six three over six four over six.
Answers
The probability that the result is green - tail is 1/6.
Spinner has three colors that are red, green and yellow and coin has two sides that are head or tail.
What is the formula for probability?Divide the number of events by the number of possible outcomes
The sample space is,[tex]{(red - head; red - tail; green - head; green - tail; yellow - head; yellow - tail)}[/tex]In total there are 6 ways to combine different colors with coin sides.
Therefore ,the probability that the result is green - tail is 1/6.
To learn more about the probability visit:
https://brainly.com/question/25870256
Answer:
1/6
Step-by-step explanation:
find the area of this figure. round your answer to the nearest hundredth. use 3.14 to approximate pi
Answers
Answer:
51.63 m²
Step-by-step explanation:
[tex]\textsf{Area of a semicircle} =\dfrac12\pi r^2[/tex]
Given:
[tex]\pi =3.14[/tex][tex]\textsf{diameter}=6 \textsf{ m}\implies \textsf{radius}=3 \textsf{ m}[/tex][tex]\implies \textsf{area}=\dfrac12 \times 3.14 \times 3^2=14.13[/tex]
[tex]\textsf{Area of a triangle} =\dfrac12 \times \textsf{base} \times \textsf{height}[/tex]
Given:
base = 3 mheight = 5 m[tex]\implies \textsf{area}=\dfrac12 \times 3 \times 5=7.5[/tex]
[tex]\textsf{Area of a rectangle} =\textsf{width} \times \textsf{length}[/tex]
Given:
width = 5 mlength = 6 m[tex]\implies \textsf{area}=5 \times 6=30[/tex]
Total area = area of semicircle + area of triangle + area of rectangle
= 14.13 + 7.5 + 30
= 51.63 m²
Solution:
Step-1: Find the area of the triangle.
[tex]\text{Area of triangle} = \dfrac{1}{2} \times \text{Base} \times \text{Height}[/tex]
[tex]\text{Area of triangle} = \dfrac{1}{2} \times 3 \times 5[/tex]
[tex]\text{Area of triangle} = 3 \times 2.5[/tex]
[tex]\text{Area of triangle} = 7.5 \ \text{m}^{2}[/tex]
Step-2: Find the area of the rectangle.
[tex]\text{Area of rectangle} = \text{LB}[/tex]
[tex]\text{Area of rectangle} = (6)(5)[/tex]
[tex]\text{Area of rectangle} = 30 \ \text{m}^{2}[/tex]
Step-3: Find the radius of the semi-circle.
[tex]\text{Diameter = 2(Radius)}[/tex]
[tex]6 \ \text{m = 2(Radius)}[/tex]
[tex]\dfrac{6}{2} \ \text{m} = \dfrac{2\text{(Radius)}}{2}[/tex]
[tex]3 \ \text{m} = \text{Radius}[/tex]
Step-4: Find the area of the semi-circle.
[tex]\text{Area of semi-circle} = \dfrac{\pi r^{2} }{2}[/tex]
[tex]\text{Area of semi-circle} = \dfrac{(3.14)( 3^{2} )}{2}[/tex]
[tex]\text{Area of semi-circle} = \dfrac{(3.14)(9 )}{2}[/tex]
[tex]\text{Area of semi-circle} = (3.14)(4.5 )[/tex]
[tex]\text{Area of semi-circle} = 14.13 \ \text{m}^{2}[/tex]
Step-5: Find the area of the figure.
[tex]\text{Area of figure = Area of triangle + Area of rectangle + Area of semicircle}[/tex]
[tex]\text{Area of figure = 7.5 + 30 + 14.13}[/tex]
[tex]\boxed{\text{Area of figure = 51.63 m}^{2}}[/tex]
convert 80cm³ to ml
convert 450ml to cm³
pls asap i really need it
Answers
Answer:
a) 80 ml
b) 450 cm³
Step-by-step explanation:
A) solution
1 cm³ = 1 ml
80 cm³ = 80 ml
B) solution
1 ml = 1 cm³
450 ml = 450 cm³
Thirty-five math majors, 29 music majors and 26 history majors are randomly selected from 585 math majors, 279 music majors and 393 history majors at the state university. What sampling technique is used
Answers
Answer:
Stratified
Step-by-step explanation:
Which theorem can you use to show that the quadrilateral on the tile floor is a parallelogram?
4
-Parallelogram Opposite Sides Converse
-Parallelogram Opposite Angles Converse
-Opposite Sides Parallel and Congruent Theorem
-Parallelogram Diagonals Converse
Answers
Answer: Parallelogram Opposite Sides Converse
Step-by-step explanation:
There are 2 pairs of opposite congruent sides.
please help me with this i’m not very good at these
Answers
PLEASE HELP I WILL LITERALLY GIVE BRAINLIEST
Insert missing monomials such that each trinomial becomes a perfect square
25b^2+70b+ ...
Answers
Answer: the answer to this question is 49
Step-by-step explanation: because (a+b)2 = a2 + 2ab +b2 = Perfect square trinomial
(brainliest for right answer)
a toy store finds that the number of items sold is represented by the expression 3c+8. the cost per item is c dollars. the amount of money made is the product of the number of items sold and the cost per item. if the company made $3,200, what equation can be used to determine the cost per item?
a. 3c+8=3200
b. 11c^2=3200
c. 4c+8=3200
d. 3c^2+8c=3200
Answers
Answer:
d.
[tex]3 {c}^{2} + 8c = 3200[/tex]
1. Manuela can type about 150 words in 4 minut At this rate, about how long will she take to typ 2000 words?
Answers
its 150 x 13 or atleast the closest estimate so its either 150 x 13 or 14
Step-by-step explanation:
multipliy by 150 x 13 or 14
The path of a football kicked by a field goal kicker can be modeled by the equation y = –0. 04x2 1. 56x, where x is the horizontal distance in yards and y is the corresponding height in yards. What is the approximate maximum height of the football? 15. 21 yd 19. 5 yd 38. 94 yd 45. 63 yd.
Answers
The maximum height of the football is 15.21 yards.
Maximum height of parabolaThe maximum height is the vertex of the parabola, when the parabola faces down.
Given
The path of a football kicked by a field goal kicker can be modeled by the equation y = -0.04x^2 + 1.56x.
Where x is the horizontal distance in yards and y is the corresponding height in yards.
The x- coordinate of the vertex is given by;
[tex]\rm x=\dfrac{-b}{2a}[/tex]
The value of b is 1.56, and a is -0.04.
Substitute all the values in the equation
[tex]\rm x=\dfrac{-b}{2a}\\\\x=\dfrac{-1.56}{-0.08}\\\\x=19.5[/tex]
Substitute the value of x in the given equation
[tex]\rm y = -0.04x^2 + 1.56x\\\\ y = -0.04(19.5)^2+1.56(19.5)\\\\y = - 15.21 + 30.42 \\\\ y=15.21 \ yd[/tex]
Hence, the maximum height of the football is 15.21 yards.
To know more about maximum height click the link given below.
https://brainly.com/question/8405809
Solve the proportion
Answers
Answer:
1. (3/2)
2. (20)
3. (3)
4. (-9/5)
5. (-8/7)
6. (-2/3), (4)
Step-by-step explanation:
1. 2. 3. 4.
x 3 12 3 x 1 x + 3 3
/ = / / = / / = / / = /
4 8 x 5 9 x 2 5
8x = 12 60 = 3x x² = 9 5x + 15 = 6
÷8 ÷8 ÷3 ÷3 x = √9 -15 -15
5x = -9
x = (3/2) x = 20 x = 3 ÷5 ÷5
x = (-9/5)
5. 6.
4 - x 3 1 x - 3
/ = / / = /
12 7 2x + 1 9
28 - 7x = 36 9 = 2x^2 - 5x - 3
-28 -28 + 3 + 3
12 = 2x^2 - 5x
-7x = 8 -12 -12
÷-7 ÷-7
2x^2 - 5x - 12 = 0
x = (-8/7)
-b +-√b^2 - 4ac
/ = -(-5)√-5^2 - 4 (2)(-12)
2a /
2(2)
= 5-+√121 5 - 11 -6
/ = / = / = (-2/3)
-4 4 4
= 5 + 11 16
/ = / = (4)
4 4
I hope this helps!
a
In golf, player A plays 320 good rounds out of a total of 400 rounds.
Player B plays 300 good rounds out of a total of 350 rounds.
What is each player's success rate:
a) as a ratio b) as a percentage?
Do the percentages tell you which player is the better golfer?
Justify your answer.
Answers
Step-by-step explanation:
Player A persentage of success =(320/400)*100=80%
Player B persentage of success =(300/350)*100=85. 741
A ratio =8/10
B ratio =8.5741/10
Player b is the better player
graph the following equation y= 1 - 5/3x
first, fill incthe table.
Answers
Answer:
good luck
Step-by-step explanation:
I do not remember
this is the last one i need help on, please help
Answers
Answer:
options 4 and 6 I believe
If 14% of a number is 18, find 7% of that number.
Answers
Answer:
9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
14%= 18
1%= [tex]\frac{18}{14}[/tex]
7%= [tex]\frac{18}{14}[/tex] x 7
= [tex]\frac{18}{2}[/tex]
= 9
Use the graph above to answer the question. Select all the terms that describe the graph of the function in interval 3 HELPPPPPPPP
Answers
Answer:
true false false true true
Can there be outliers if there is no correlation
Answers
Answer
NO
step by step explanation:
The definition of outlier is observational data that appears with extreme values, either univariate or multivariate. What is meant by extreme values in observations are values that are far or completely different from most of the other values in the group
I hope this helps
Sam is paying off his eight-year, $15,360 loan in semiannual installments. the loan has an interest rate of 9.58%, compounded semiannually, and a service charge of $1,294.64. once the loan has been fully paid off, what percentage of the total finance charge will the service charge be? round all dollar values to the nearest cent. a. 5.48% b. 8.43% c. 18.55% d. 15.65% please select the best answer from the choices provided a b c d
Answers
The percentage of the total finance charge will the service charge is 15.65%. Then the correct option is D.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
Sam is paying off his eight-year, $15,360 loan in semiannual installments.
The loan has an interest rate of 9.58%, compounded semiannually, and a service charge of $1,294.64. Once the loan has been fully paid off.
A = $15360
r = 0.0958/2 = 0.0479
n = 8 × 2 = 16
The periodic payment is given as
[tex]\rm A = P (\dfrac{1-(1+r)^{-n}}{r})[/tex]
Where P is Periodic payment
r = rate per period
n = number of period
Then we have
[tex]\rm 15360 = P(\dfrac{1-(1+0.0479)^{-16}}{0.0479})\\\\\\ P = 1396.16[/tex]
Then Sam will pay a total of 1396.16 × 16 = $22,338.56
Interest charge = 22338.56 – 15360 = $6978.56
Total finance charge = 6978.56 + 1294.64 = $8273.20
Then the percentage of the total finance charge will the service charge will be
[tex]\rm Percentage = \dfrac{1294.64}{8273.20}*100\\\\Percentage = 15.65 \%[/tex]
More about the percentage link is given below.
https://brainly.com/question/8011401
Can someone give me the answer to this question please ?
Answers
Answer:
YOU HAVE TO GRAPH (3,0) TO GET THE ANSWER
Step-by-step explanation:
Youre amazing!!! could you help me? 50 points!!! Write an expression that can be used to produce vector d from vector c, and explain how you determined that expression.
Answers
Answer:
Multiply vector c by the scalar -1/2.
Step-by-step explanation:
Look at vector c.
It has an x component of 4 and a y component of 4.
You can write vector c as a sum of its components using unit vectors in the x direction (i) and in the y direction (j).
c = 4i + 4j
Now look at vector d, and write it also as a sum of its x and y components.
d = -2i - 2j
Now ask yourself, what operation do I do to 4 to end up with -2?
One answer is to multiply 4 by -1/2.
d = (-1/2)c = (-1/2)(4i) + (-1/2)(4j) = -2i - 2j
That worked. By multiplying vector c by the scalar -1/2, you end up with vector d.
Find the missing variables
Answers
Answer:
x = y = 102.5°
Step-by-step explanation:
x and y are congruent.
the sum of the 4 angles in a kite = 360°
subtract the 2 given angles from 360°
360° - 95° - 60° = 360° - 155° = 205° , then
x = y = 205° ÷ 2 = 102.5°
A teenager put 50$ into an account in January. If by December the increases by 17%, what is the amount of money in the account in December ?
Answers
any one who is still up i need help pls
Answers
Answer:
m = 5
Step-by-step explanation:
[tex] \frac{10}{m - 5} = \frac{8}{m - 5} \\ \\ 10(m - 5) = 8(m - 5) \\ \\ 10m - 50 = 8m - 40 \\ \\ 10m - 8m = 50 - 40 \\ \\ 2m = 10 \\ \\ m = \frac{10}{2} \\ \\ m = 5[/tex]
Answer:
m = 5
Step-by-step explanation:
Cross product to get: 10(m-5) = 8(m-5)
Solve for m:
10m-50 = 8m-40
10m - 8m = -40 + 50
2m = 10
m = 10/2
m = 5
Please help me, I am having trouble solving this type of problems!!!
Answers
Answer:
a
Step-by-step explanation:
arc length is calculated as
arc = circumference × fraction of circle
= 2πr × [tex]\frac{110}{360}[/tex]
= 2π × 4 × [tex]\frac{11}{36}[/tex] ( cancel 4 and 36 by 4 )
= 2π × [tex]\frac{11}{9}[/tex]
= [tex]\frac{22}{9}[/tex] π inches
Given the differential equation dy/dx= -x/2y, find the particular solution, y = f(x), with the initial condition f(4) = 3.
Answers
Answer:
Step-by-step explanation: