Answers
4x + 6 +3x + 2 = 57
7x + 8 = 57
7x = 49
x = 7
The perimeter of a triangle is the sum of all sides' lengths.
Thus,
[tex]P=6+4x+(3x+2)=7x+8.[/tex]
Given [tex]P=57\ cm,[/tex] you get
[tex]7x+8=57,\\ \\7x=57-8,\\ \\7x=49,\\ \\x=\dfrac{49}{7},\\ \\x=7\ cm.[/tex]
Answer: x=7 cm.
Related Questions
from the top of a lighthouse 210 feet high, the angle created by the line of sight to a boat is 27°. find the distance of the boat to the light house.
Answers
This is a trigonometry problem. You must draw a triangle with the lighthouse and the boat. You are given the lighthouse height and the angle to the boat.
Using this information, you can set up a tangent ratio:
tan(27) = x/210
Solving this will give you:
0.5095 = x/210
107 = x
The measure of three angles of a triangle are (2x)°, (3x)° and (x + 60)°. What is the value of x?
Answers
6x+60=180
6x=120
x=20
Joey has 8 pairs of socks in his drawer 5 of them are white. what percent of colored socks does Joey have
Answers
We usually don’t count white socks as colored, so keep that in mind for the problem.
There are 5 pairs of white socks.
8-5=3
There are 3 pairs of colored socks.
3/8= fraction of colored over the whole amount.
Make 3/8 into a decimal. (Divide 3 by 8)
3/8= .375
Now, we just have to make that into a percentage.
.375= 37.5%
37.5% of the socks were colored.
I hope this helps!
~kaikers
Since 5 out of 8 pairs of socks are white, 3 pairs of socks are colored.
3/8 = 0.375 = 37.5% of the socks are colored
Guys please help me please...
Answers
To graph these equations, which are already in slope-intercept form:
For the freshmen, we begin with the y-intercept at (0, 100). Then for each unit of x (to the right), we raise the y-value by 50. So we can put another point at (1, 150), at (2, 200), at (3,250), and so on. Any one other point is sufficient to draw the line.
For the sophomore, we begin with the y-intercept at (0, 250), and increase y by 25 for each unit of x. So we can connect it with (1, 275), (2, 300), and so on.
If both lines are drawn, we will see the intersection point at (6, 400), which means that both groups have a cost of y = $400 at x = 6 rolls.
The diagram shows the dimensions of the pool cover for a gotel pool.The numbers are 10ft 20ft 45 ft 8 ft 8 ft 8ft What is the area of the pool cover
Answers
Answer:
684
Step-by-step explanation:
see photo for step by step explanation.
The area of the pool is the amount of space on it.
The area of the pool is 684 square feet
The dimensions of the pool are:
10ft by 20ft, 8ft by 20ft and 27ft by 12ft
The area of the pool is then calculated as:
A = 10 * 20 + 8 * 20 + 27 * 12
Evaluate the products
A = 200 + 160 + 324
Evaluate the sums
A = 684
Hence, the area of the pool is 684 square feet
Read more about areas at:
https://brainly.com/question/24487155
A table shaped like a solid cube needs to painted. All six faces of the table must be painted. The edge length of the table is 1.2 m. What is the total surface area that will be painted? Drag and drop the correct answer into the box. 7.21.7288.645.76 m²
Answers
Answer:
8.64 is the answer. I put 7.2 and got it wrong. :)
8.64
Step-by-step explanation:
I TOOK DA TESTTTTT
REEEEEEEEEE
Final answer:
Since the area of one side is 1.44 m², the total surface area is 8.64 m².
Explanation:
To find the total surface area that will be painted on a cube-shaped table with an edge length of 1.2 m, we use the formula for the surface area of a cube, which is 6 times the area of one side.
Calculating the area of one side (1.2 m × 1.2 m) gives us 1.44 m². Multiplying this by 6 (6 × 1.44 m²) gives the total surface area which is 8.64 m². Therefore, the correct answer to drag and drop into the box is 8.64 m².
sarah is training for a bike race. she rides her bike 5 3/4 miles in 1/3 hour. what is sarahs's rate in miles per hour?
Answers
Hope this helps!
Since it is 1/3 of an hour for 5 3/4 miles, multiply 5 3/4 x 3 . . .
5 3/4 = 23/4
3 = 3/1
23 x 3 = 69
4 x 1 = 4
Simplifying 69/4 . . .
69/4 = 17 1/4 <-----------
Sarah's rate is 17 1/4 miles per hour.
Hope this helps you.
Have a great day!
help meeeee plzzzzzzz
Answers
A tree 63 ft high casts a 38 ft shadow. How tall is a tree that casts a 52 ft shadow at the same time of the day? (to the nearest tenth
Answers
1.368 x 63 = 86.21
tree is 86.2 feet high
Denise and Stacey went to a carnival. The admission fee was $6 per person. Each ride at the carnival costs c dollars. The game booths charged g dollars for each game. Both Denise and Stacey went on 7 rides each. Stacey played 3 games, while Denise played 2 games. Which expression represents the total amount of money that Denise and Stacey spent at the carnival
Answers
The correct answer is Option D. [tex]14c+5g+12[/tex]. The expression [tex]14c+5g+12[/tex], which represents the total amount of money that Denise and Stacey spent at the carnival.
To calculate the total amount of money Denise and Stacey spent at the carnival, we need to consider the admission fee, the cost of rides, and the cost of games for both of them.
Admission Fee: Since both Denise and Stacey went to the carnival, we need to include the admission fee for each of them. The admission fee per person is $[tex]6[/tex]. So, for both Denise and Stacey, the total admission fee is [tex]2*6=12[/tex] dollars.
Rides: Both Denise and Stacey went on [tex]7[/tex] rides each. Since the cost of each ride is c dollars, the total cost for rides for each of them is [tex]7c[/tex]. So, for both Denise and Stacey, the total cost for rides is [tex]2*7c=14c[/tex] dollars.
Games: Stacey played [tex]3[/tex] games, and Denise played [tex]2[/tex] games. The cost of each game is g dollars. So, the total cost for games for Stacey is [tex]3g[/tex] dollars, and for Denise, it's [tex]2g[/tex] dollars.
Putting it all together, the expression representing the total amount of money that Denise and Stacey spent at the carnival is:
Combining these costs, we get [tex]14c+5g+12[/tex], which represents the total amount of money that Denise and Stacey spent at the carnival.
COMPLETE QUESTION:
Denise and Stacey went to a carnival. The admission fee was $[tex]6[/tex] per person. Each ride at the carnival costs c dollars. The game booths charged g dollars for each game. Both Denise and Stacey went on [tex]7[/tex] rides each. Stacey played [tex]3[/tex] games, while Denise played [tex]2[/tex] games. Which expression represents the total amount of money that Denise and Stacey spent at the carnival?
A. [tex]7c+5g+6[/tex]
B. [tex]7c+5g+12[/tex]
C. [tex]14c+5g+6[/tex]
D. [tex]14c+5g+12[/tex]
Which of the fraction below is equivalent to 1/3? Show why that fraction is equivalent to 1/3. 4/5, 4/6, 4/9, 4/12
Answers
To determine which fraction is equivalent to 1/3, we can compare each fraction to 1/3 and simplify if necessary. The fraction that is equivalent to 1/3 is 4/12.
Explanation:To determine which fraction is equivalent to 1/3, we can compare each fraction to 1/3 and simplify if necessary. Let's go through each option:
4/5: This fraction is not equivalent to 1/3 because 4/5 is greater than 1/3.4/6: To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 2.4/6 simplifies to 2/3, which is not equivalent to 1/3.4/9: This fraction is not equivalent to 1/3 because 4/9 is greater than 1/3.4/12: To simplify this fraction, we can divide both the numerator and denominator by their greatest common factor, which is 4.
4/12 simplifies to 1/3, which is equivalent to 1/3.
Therefore, the fraction that is equivalent to 1/3 is 4/12.
10 POINTS AND BRAINLIEST
Which set of numbers is finite?
Even numbers between 1 and 89
Real numbers greater than 1
Rational numbers between 1 and 2
Whole numbers with tens digits at zero
Answers
Answer: #1
a geometric sequence has an initial value of 25 and a common ratio of 1.8. Write a function to represent this sequence . Find.the 23rd term.
Answers
a_n = a_1•r^(n-1)
a_23 = 25•(1.8)^(23 - 1)
Can you finish?
23rd term of the given geometrical sequence is [tex]a_{23} = 25(1.8)^{22}[/tex].
Function to represent sequence is [tex]25,25(1.8), 25(1.8)^{2} , 25 (1.8)^{3} , ....... ,25(1.8)^{n}[/tex]
What is geometric sequence?" Geometric sequence is defined as the sequence whose ratio of the consecutive terms is always constant."
Formula used
nth term of the geometric sequence
[tex]a_{n} = a r^{n-1}[/tex]
a = first term
r = common ratio
[tex]a_{n}[/tex] = nth term
According to the question,
First term of the geometric sequence 'a' = 25
Common ratio of the geometric sequence 'r' = 1.8
Substitute the value in the formula to get 23rd term,
[tex]a_{23} = 25(1.8)^{23-1}[/tex]
⇒[tex]a_{23} = 25(1.8)^{22}[/tex]
Function to represent this sequence
[tex]a, a(r),a(r)^{2} , a (r)^{3} , ....... ,a(r)^{n}[/tex]
= [tex]25,25(1.8), 25(1.8)^{2} , 25 (1.8)^{3} , ....... ,25(1.8)^{n}[/tex]
Hence, 23rd term of the given geometrical sequence is [tex]a_{23} = 25(1.8)^{22}[/tex].
Function to represent sequence is [tex]25,25(1.8), 25(1.8)^{2} , 25 (1.8)^{3} , ....... ,25(1.8)^{n}[/tex]
Learn more about geometrical sequence here
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Aubrey is painting a mural of an ocean scene. The triangular sail on a sailboat has a base of 4 feet and a height of 6 feet. Aubrey will paint the sail using a special white paint. A can of this paint covers 10 square feet. How many cans of white paint will Aubrey need?
Answers
(2)x6
12/10
1.2
2 Cans because you cant buy .2 of a can
Final answer:
Aubrey requires 2 cans of white paint to cover the triangular sail with an area of 12 square feet, given that one can covers 10 square feet.
Explanation:
Aubrey is painting a triangular sail as part of a mural with a base of 4 feet and a height of 6 feet. To calculate the area of the triangle, the formula is 1/2 × base × height. Thus, the area is 1/2 × 4 × 6, which equals 12 square feet. One can of special white paint covers 10 square feet. Therefore, Aubrey will need to use 2 cans of paint to cover the entire sail, since you can't purchase a fraction of a can.
Qual é o perímetro de um quadrado de 3,8 cm de lado ?E sua área?
Answers
Para encontrar el perímetro tienes que anadir 3.8, 4 veces o mulltiplicar por 4
3.8 + 3.8 + 3.8 + 3.8 = 15.2
3.8 x 4 = 15.2
15.2 es tu respuesta
Para encontrar el area multiplica 3.8 por 3.8
3.8 x 3.8 = 14.44
14.44 es tu area
Please I need help with questions 2-4 and it’s very hard and I’m struggling with it and if you need to see the picture big then click on it and it will be big
Answers
.. = 12.35976*10⁸
.. ≈ 1.236*10⁹ . . . . . people living in India
3) The mantissa was greater than 10, so a factor of 10 was removed from it and added to the exponent
4) (2.844*10⁹)/(4.5*10⁶) = (2.844/4.5)*10⁽⁹⁻⁶⁾ = 0.632*10³
Amy apparently adjusted the magnitude of the mantissa without adjusting the exponent. The correct normalized form is
.. 6.32*10²
Lisa built a rectangular flower garden that is 4 feet wide and has a perimeter of 26 feet. what is the length of Lisa's flower garden?
Answers
9+9+4+4=26
4+4=8
26-8=18
18 divided by 2= 9
Convert the ratio of sheep to pigs below to the ratio of the pigs to total animals (sheep and pigs) 5:9
Answers
Answer:
The ratio of pigs to total animals is 9:14 or 9/14.
Step-by-step explanation:
Given that the total number of sheep = 5
The total number of pigs = 9
From that, the given ration of sheep to pigs is 5:9
Now, the total number of animals = no. of pigs + no. of sheep = 5+9 = 14.
So, to express the ratio of pigs to the total number of animals =
no. of pigs: total no. of animals = 9:14.
Therefore, the ratio of pigs to the total number of animals is 9:14.
To learn more about ratios,
https://brainly.com/question/12024093
janet lit a 12-inch candle. she noticed that it was getting an inch shorter every 30 minutes in how many hours will the candle burn out support your answer with a reason
Answers
For a single roll of two dice, are rolling a sum of 6 and rolling doubles mutually exclusive events?
Answers
Answer: They are not mutually exclusive events.
Step-by-step explanation:
Let A be the event of getting a sum of 6 on dice.
Let B be the events of getting doubles .
A={ (1,5), (2,4), (3,3), (4,2), (5,1) }
B = { (1,1) , (2,2), (3,3), (4,4), (5,5), (6,6) }
Since we know that Mutaullty exclusive events are those when there is no common event between two events.
i.e. there is empty set of intersection.
But we can see that there is one element which is common i.e. (3,3).
So, n(A∩B) = 1 ≠ ∅
Hence, they are not mutually exclusive events.
Answer:
They are not mutually exclusive events.
Step-by-step explanation:
Polygon ABCDE is the result of a reflection of polygon LMNOP over the line. Which line segment in the image corresponds to OP¯¯¯¯¯ in the pre-image?
EA¯¯¯¯¯
DE¯¯¯¯¯
BC¯¯¯¯¯
CD¯¯¯¯¯
AB¯¯¯¯¯
Answers
Answer: [tex]\overline{DE}[/tex]
Step-by-step explanation:
Given: Polygon ABCDE is the result of a reflection of polygon LMNOP over the line.
Since reflection preserves the size of the figure and maps a congruent image .
Therefore, polygon ABCDE is congruent to polygon LMNOP
Also, we know that if two polygons are congruent then their corresponding sides are equal.
Then, LM=AB
MN=BC
NO=CD
OP=DE
AE=LP
So , the line segment in the image corresponds to [tex]\overline{OP}[/tex]in the pre-image is [tex]\overline{DE}[/tex]. [Last two letters of the name of polygons]
Answer:
(B) DE
Step-by-step explanation:
Given: Polygon ABCDE is the result of a reflection of polygon LMNOP over the line.
To find: A line segment in the image corresponds to OP in the pre-image.
Solution: It is given that Polygon ABCDE is the result of a reflection of polygon LMNOP over the line.
Also, we know that reflection maps a congruent image, therefore polygon ABCDE is congruent to polygon LMNOP.
And, if two polygons are congruent then their corresponding sides are congruent, thus
LM=AB
MN=BC
NO=CD
OP=DE
AE=LP
Hence, the line segment in the image corresponds to [tex]\overline{OP}[/tex] in the pre-image is [tex]\overline{DE}[/tex].
Therefore, option B is correct.
Convert fraction with numerator 7 and denominator 8 to a decimal.
0.375
0.875
0.925
0.965
Answers
Answer:
BStep-by-step explanation:
Phineas is the lead research scientist in a lab and responsible for ordering supplies and equipment. The lab is out of petri dishes, so Phineas orders 185 of them. The lab uses 12 petri dishes each day.
Answers
Hope this helped ;)
Answer:
The relationship is between the days that have gone by and the number of petri dishes. The point (0, 185) means that if 0 days have gone by there are 185 petri dishes. The number of petri dishes decreases by 12 each day, so the slope is –12. Use the slope-intercept form to write the equation y = –12x + 185.
Thats the actual answer from edge
Write 30/80 as a percent
Answers
To workout this, divide the numerator by the denominator, sum this value to the integer part then multiply the result by 100%, so:
30/80 in percent = 30 ÷ 80 × 100% =
0.375 × 100% =
37.5%
3/8 = 0.375
0.375 = 37.5%
Hope this helped☺☺
Solve the equation and show all work please show steps!!
m/9 - 17=21
Answers
------------
Simplify
1/9m - 17 = 21
----------------
Add 17 to each side
1/9m-17+17=21+17
1/9m = 38
------------------------
Multiply each side by 9
9 * (1/9m) = 38 * 9
m = 342 is your answer
It costs Marie $25 overhead and then an additional $1.25 to make each barrette. She charges $3.50 for each one. Write a function to model Marie's profit?
Answers
Given is the Overhead charges = 25 dollars.
Making charge of each barrette = 1.25 dollars.
Let's assume the number of barrette that she makes = x
So the Cost function would be, C(x) = 1.25x + 25.
She sell each piece for 3.50 dollars.
So the Revenue function would be, R(x) = 3.50x
We know the Profit function is given by the difference of Revenue function and Cost function.
Profit function = Revenue function - Cost function
P(x) = R(x) - C(x)
P(x) = 3.50x - (1.25x + 25)
P(x) = 3.50x - 1.25x - 25
P(x) = 2.25x - 25
Hence, Marie's Profit would be P(x) = 2.25x - 25.
Solve the following equation: x^3+3x^2-10x=0
Answers
The GCM of those three terms is x. So group them by x.
x(x² + 3x - 10) = 0
factor x² + 3x - 10
x(x - 2)(x + 5) = 0
x = 0 , x = 2 , x = -5
Maria says her pencil is 1.7 meters long is this measurement reasonable
Answers
what is 5cm × 8cm × 10cm
Answers
Mr shen likes for his homework assignment to have 2 addition problems for every 3 subtraction problems
Answers
Answer:
Options B, C and D are correct choices.
Step-by-step explanation:
Please consider the complete question.
Mr. Shen likes for his homework assignments to have 2 addition problems for every 3 subtraction problems.
Which of the following homework assignments could
Mr. Shen create?
Choose 3 answers:
A. 3 addition problems and 4 subtraction problems .
B. 6 addition problems and 9 subtraction problems .
C. 16 addition problems and 24 subtraction problems.
D. 8 addition problems and 12 subtraction problems.
E. 15 addition problems and 10 subtraction problems.
To solve our given problem, we need to find the number that have same ratio.
Let us compare each ratio.
A. [tex]\frac{3}{2}\neq \frac{4}{3}[/tex]
Since the ratio of corresponding numbers is not same, therefore, option A is incorrect.
B. [tex]\frac{6}{2}=\frac{9}{3}[/tex]
[tex]3=3[/tex]
Since the ratio of corresponding numbers is same, therefore, option B is the correct choice.
C. [tex]\frac{16}{2}=\frac{24}{3}[/tex]
[tex]8=8[/tex]
Since the ratio of corresponding numbers is same, therefore, option C is the correct choice.
D. [tex]\frac{8}{2}=\frac{12}{3}[/tex]
[tex]4=4[/tex]
Since the ratio of corresponding numbers is same, therefore, option D is the correct choice.
E. [tex]\frac{15}{2}\neq \frac{10}{3}[/tex]
Since the ratio of corresponding numbers is not same, therefore, option E is incorrect.