The lengths of the sides are 24cm, 27cm and 30cm.
Step-by-step explanation:
The ratio of lengths is 8:9:10
Perimeter = 81 cm
Let x be the length of side.
Therefore,
The length of sides is 8x, 9x and 10x.
Perimeter is the sum of 3 sides, therefore,
[tex]8x+9x+10x=81\\27x=81[/tex]
Dividing both sides by 27;
[tex]\frac{27x}{27}=\frac{81}{27}\\x=3[/tex]
Therefore, the lengths of sides are [tex]8(3), 9(3)\ and\ 10(3)[/tex]
The lengths of the sides are 24cm, 27cm and 30cm.
Keywords: triangles, perimeter
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The lengths of the sides of the triangle are 24 cm, 27 cm, and 30 cm.
Explanation:To find the lengths of the sides of the triangle, we can use the fact that the sum of the lengths of the sides of a triangle is equal to the perimeter. Let's assume the common ratio between the sides is 'x'. So, the lengths of the sides can be written as 8x, 9x, and 10x. According to the problem, the perimeter of the triangle is 81 cm.
Therefore, 8x + 9x + 10x = 81.
Combining like terms, we get 27x = 81.
Dividing both sides by 27, we find that x = 3.
Substituting this value back into the lengths of the sides, we find that the lengths are 8x = 8(3) = 24 cm, 9x = 9(3) = 27 cm, and 10x = 10(3) = 30 cm.
There was a plate of cookies on the table. Amanda was hungry because she hadn't had breakfast, so she
ate half the cookies. Then Beth came along and noticed the cookies. She thought they looked good, so she
ate a third of what was left on the
plate. Christine came by and decided to take a fourth of the remaining cookies with
her to her next class. Then Daniel came dashing up and took a cookie to munch on.
When Eva looked at the plate, she saw that there were two cookies left. She wondered how many cookies
were on the plate to begin with?
Answer:
10 2/3
Step-by-step explanation:
So in order to figure this out you have to work backwards. First, Daniel came and took a cookie. So when he took 1 there were 3 cookies available. Next Christine took one fourth of the cookies, meaning that the 3 available cookies are the remaining 3/4's. When she got there she took 1. Then Beth came and took 1/3. For it to be 3/3 there has to be 1 and 1/3 more cookies. Now there are 5 and 1/3 cookies. Amanda came and ate half of the cookies meaning that the amount of cookies we have now is the other half that she didnt eat. 5 and 1/3 plus 5 and 1/3 is 10 and 2/3. I hope this is correct.
Quadrilateral RSTU has vertices at R(2,-2), S(4, -3), T(4-6), and U(2, - 7). Which of the following statements is true?
A. The diagonals are the same length, which is greater than 5.
B. The diagonals are the same length, which is less than 5.
The length of diagonal RT is greater than that of diagonal US
D. The length of diagonal RT is less than that of diagonal
Answer:
The answer is B
Step-by-step explanation:
Edge 2022
b/5 -34<-41 what is B
Answer:
b<-35
Step-by-step explanation:
b/5-34<-41
b/5<-41+34
b/5<-7
b<-7*5
b<-35
Jeanne is helping her dad with his
stueco business for the summer. Since Jeanne
has studied surface area in school, she does
some estimates for her dad's business,
For the garage at the right, they plan to stucco
the walls. They will not stucco the roof, car door,
side door, or window. The car door measures
5 m by 2.3 m, the side door measures 2.1 m by
0.9 m, and the window measures I m by 0.7 m.
Determine the surface area to be covered with stucco to the nearest square metre,
The surface area to be covered with stucco is 25.91 square metres.
Explanation:To find the surface area to be covered with stucco, we need to calculate the area of each wall and subtract the areas of the car door, side door, and window. The garage has four walls, so we will calculate the area of each wall and add them together. The area of each wall is the product of its length and height. Once we have the total area of the walls, we can subtract the areas of the car door, side door, and window to determine the final surface area to be covered with stucco.
Wall 1: 5 m * 2 m = 10 m²
Wall 2: 5 m * 2 m = 10 m²
Wall 3: 5 m * 2 m = 10 m²
Wall 4: 5 m * 2 m = 10 m²
Total area of walls: 10 m² + 10 m² + 10 m² + 10 m² = 40 m²
Area of car door: 5 m * 2.3 m = 11.5 m²
Area of side door: 2.1 m * 0.9 m = 1.89 m²
Area of window: 1 m * 0.7 m = 0.7 m²
Final surface area to be covered with stucco: 40 m² - 11.5 m² - 1.89 m² - 0.7 m² = <<25.91=25.91>>25.91 m² (rounded to the nearest square metre).
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please help me on this question
Answer:
The correct one is the first one
how many times does 18 go into 40
Answer:
2 times
The drawing will help
Which of the following number lines represents the solution to
+5 = 7?
- 10
-8
-6
-4
2
0
2
4
6
8
10
- 10
-8
6
4
2
0
2
4
6
8
10
-10
-8
6
4
2
0
2
4
6
8
10
10
8
6
4
2
6 2
4
6
8
10
Answer:
-8 , 5
Step-by-step explanation:
point p lies on the directed line segment from A (2,3) to B (8,0) and portions the segment in the ratio 2 to 1
what’s the x coordinate of point p?
Answer:
The x-coordinate of point P is 6
Step-by-step explanation:
we have
A (2,3) and B (8,0)
we know that
Point P portions the segment AB in the ratio 2 to 1
so
[tex]AP=\frac{2}{3} AB[/tex]
and
[tex]AP_x=\frac{2}{3} AB_x[/tex]
where
AP_x represent the distance between the points A and P in the x-coordinates
AB_x represent the distance between the points A and B in the x-coordinates
[tex]AB_x=8-2=6\ units[/tex]
[tex]AP_x=\frac{2}{3} (6)=4\ units[/tex]
The x-coordinate of P is equal to
[tex]P_x=A_x+AP_x[/tex]
where
A_x represent the x-coordinate of A
substitute the values
[tex]P_x=2+4=6[/tex]
therefore
The x-coordinate of point P is 6
Solve the equation 6 = -9 – 6x for x.
A. -5/2
B. -2/5
C. 2/5
D. 5/2
Answer:
a. -5/2
Step-by-step explanation:
To solve the equation 6 = -9 - 6x for x, add 9 to both sides, then divide by -6, resulting in x = -2.5 or -5/2.
To solve the equation 6 = -9
- 6x for x, you first want to isolate the variable x on one side of the equation. Start by adding 9 to both sides to move the constant term from the right side to the left side:
6 + 9 = -9 + 9 - 6x
15 = -6x
Next, divide both sides by -6 to solve for x:
15 / -6 = (-6x) / -6
x = -15 / 6
When you simplify -15 / 6, you get:
x = -2.5 which is the same as -5/2
Therefore, the solution to the equation is x = -5/2.
Givem the geometric sequence where à1=2 and the common ratio is 4, what is domain for N
The domain for N is All integers where n ≥ 1
Solution:
According to statement a1 = 2 and r = 4. This shows that r is greater than 1.
If r is greater than 1 than it includes integers greater than 1 or equal to 1. It does not include all the real numbers because real numbers include negative numbers also.
If starting value is 2, if we put n=0, then we get 2, but if we put a negative value than we would get a number which is not a part of our sequence.
Thus the domain of n is All integers where n greater than or equal to 1
10x+5y=25 in standard form
Answer:
10x=20
Step-by-step explanation:
I have no idea how to do this. My teacher just threw it on us, please help. <3
Answer:
(25 1/3)/76
15.5/2
Step-by-step explanation:
I'll do the first two for you, and you can use that to do the rest. Essentially, what we have to do is match up the functions so that they have the same numerator/denominator, and use that to figure out the missing part. For the first one, we have to match up 12 and 76. We can do this by obtaining the result of 76/12, which is 6 1/3. To match it up, we can multiply 12 by 6 1/3 or divide 76 by 6 1/3. As we want to match up to 76 because the missing number is on the 76 side, we must multiply both 4 and 12 by 6 1/3, resulting in our answer being (25 1/3)/76 for the first one. Similarly, for the second one, we can divide 8 by 2 to get 4. Since the missing number is on the 2 side, we divide the 8 side by 4 to get 15.5/2. Good luck, and feel free to ask if you need help!
2. Name a combination of coins that is 130% of the value of a dollar.
I need a simple answer
Answer:
Step-by-step explanation:
5 quarters, 1 nickel
Answer:
The required combination of coins will be 5 quarters and 1 nickel.
Step-by-step explanation:
The required combination should be such that the resultant will be 130% of 1 dollar or 1.3 dollar.
Now, the value of 1 quarter is $0.25 and the value of 1 nickel is 5 cent or $0.05.
So, the combination of 5 quarters and 1 nickel will be,
[tex]5\times \$0.25+1\times \$ 0.05=\$1.25+\$0.05\\=\$1.30[/tex]
The above value is equal to 130% of a dollar.
Therefore, the required combination of coins will be 5 quarters and 1 nickel.
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There are between 24 and 40 students in the class
the ratio for boys to girls is 4:7
how many students are in the class
Answer:
33 students
Step-by-step explanation:
Without any other data to go by, guess and check is the only method we can use. Staying in a 4:7 ratio, only one combination gives a total student number between 24 and 40, with 12 boys and 21 girls.
4 + 7 = 11
8 + 14 = 22
12 + 21 = 33
16 + 28 = 44
find the quotient -33.615 and 4.98
Answer:
3.75 or 3 [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
just divide
Which ordered pair is a solution of the equation? X+7y=17
Answer Choices
A. Only (10,1)
B. Only (-4,3)
C. Both (10,1) and (-4,3)
Answer:
C. Both (10,1) and (-4,3)
Step-by-step explanation:
The equation is x + 7y = 17
Option A: x = 10, y = 1
Now, putting the value in the equation,
L.H.S.,
x + 7y
= 10 + 7*1
= 10 + 7
= 17
Therefore, L.H.S. = R.H.S.
The equation is correct.
Option B: x = -4, y = 3
Now, putting the value in the equation,
L.H.S.,
x + 7y
= -4 + 7*3
= -4 + 21
= 17
Therefore, L.H.S. = R.H.S.
The equation is also correct with this value.
As the option "A" and Option "B" shows the correct value, the answer is both A and B.
Answer:
C.) Both the answers are true
Step-by-step explanation:
Simply plug it in
(10, 1) = 10 + 7(1) = 17
10 + 7 = 17
17 = 17
So A.) is true, but let's check B.)
-4 + 7(3) = 17
-4 + 21 = 17
17 = 17
B.) is also true
Drag each graph to show if the system of linear equations it represents will have no
solutions, one solution, or infinitely many solutions.
help please !
Answer:
The answer in the attached figure
Step-by-step explanation:
we know that
The solution of a system of linear equations is the intersection point both graphs.
If both graphs has one intersection point , then the system has only one solution
If both graphs have no intersection point, (parallel lines) then the system has no solution.
If both graphs are equal, (identical lines) then the system has infinitely solutions.
The answer in the attached figure
Square root of 3.14
Answer:
Step-by-step explanation:
1.772
what output is 4 more than twice the input 3
Answer:
10
Step-by-step explanation:
4 more than twice the input 3
more indicates addition, twice indicates multiplication
y = output value
x = input value
y=4+2x
y=4+2(3)
y=4+6
y=10
4 more than twice the input 3 is 10
Final answer:
To find the output that is 4 more than twice the input when the input is 3, we calculate 2(3) + 4, which equals 10.
Explanation:
The output that is 4 more than twice the input when the input is 3 can be found using a simple algebraic expression. If we let x represent the input and y the output, the expression can be written as y = 2x + 4. By substituting the input value of 3 into the equation, we have y = 2(3) + 4, which simplifies to y = 6 + 4, and further simplifies to y = 10. Therefore, the output is 10.
Determine whether each relationship represented by the ordered pairs is a function. Explain.. Please answer both problems. 8. (2,2), (3,1), (5,7), (8,0), (9,1)... 9. (0,4), (5,1), (2,8), (6,3), (5,9)
Answer:
8.) Not a function
9.) Is a function
Step-by-step explanation:
In order for a set of coordinates to be a function, the y cannot be repeated.
In number 8, there is (3,1) and (9,1)
Not a function
In number 9, each coordinate is unique and doesn't repeat the y.
Is a function
Doe the math equation y=6x -4 have a negative slope
Answer:
yes it does have a negative slope
Step-by-step explanation:
Final answer:
The equation y=6x - 4 does not have a negative slope; instead, it has a positive slope because the coefficient of x is positive, indicating that y increases as x increases.
Explanation:
The math equation given is y=6x - 4. To determine whether it has a negative slope or not, we look at the coefficient of x, which in this case is 6. A negative slope indicates that as x increases, y decreases, and vice versa. However, since the coefficient of x here is positive (6), this line has a positive slope, not a negative one. Therefore, it means that as x increases, y also increases, which is characteristic of a positive relationship between x and y.
It is important to note that a line with a negative slope would have a negative coefficient of x. The slope is the number that is multiplying the x variable, and it represents the rate of change of y with respect to x. Graphically, a line with a positive slope, such as this one, will rise as it moves from left to right on a graph.
A jet travels 550 miles in 5 hours.At this rate, how far could the jet fly in 14 hours? What is the rate of speed of the jet?
Answer:
The jet travels 1,540 miles in 14 hours going at about 110 mph
Answer:
I think its 1540 miles.
Step-by-step explanation:
r=550/5
You get 110.
110 times 14= 1540.
1540 miles!
PLEASE HELP QUICKLY!!!!
13. Find the slope of each linear function.
The slope of Graph A is
The slope of Graph B is
The slope of Graph C is
The slope of Graph D is
Answer:
A= -4
B= 4
C= 1/4
D= -1/4
Step-by-step explanation:
I see u counted which is good. remember it's rise over run so for a u got up down 4 over 1. that's why the slope would be -4. You figure out the other ones the same way.
Seth’s father is thinking of buying his son a six-month pass for $40. With the pass, matinees cost 1.00. If matinees are normally $3.50 each, how many times must Seth attend in order for it to benefit his father to buy the pass?
Seth must attend matinees at least 16 times for the six-month pass to be financially beneficial to his father.
Explanation:To determine how many times Seth must attend matinees for the six-month pass to be beneficial economically, we need to calculate the break-even point where the cost of the pass equals the savings from discounted ticket prices. The normal ticket cost for a matinee is $3.50, and with the pass, the cost is reduced to $1.00. Therefore, each time Seth attends a matinee with the pass, he saves $2.50 ($3.50 - $1.00).
Let's denote the number of times Seth needs to attend matinees to benefit from the pass as 'x'. The six-month pass costs $40, So, we need to set up the following equation to find the break-even point: $2.50 × x = $40.
Divide both sides of the equation by $2.50 to solve for 'x':
x = $40 ÷ $2.50
x = 16
Thus, Seth needs to attend matinees at least 16 times to make the purchase of the six-month pass worthwhile for his father.
Lkm is equilateral. Solve for x if angle k=9x+24
Answer:
x = 4
Step-by-step explanation:
Given that the triangle is equilateral then the measure of each angle is 60°
Equate 9x + 24 to 60 and solve for x
9x + 24 = 60 ( subtract 24 from each side )
9x = 36 ( divide both sides by 9 )
x = 4
What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
A.
y = 3x + 4
B.
c.
D.
y= 3x - 14
y= 3x - 4
y=3x + 12
Answer:
A: y = 3x + 4
Step-by-step explanation:
A slope of 3 is given, so the co-efficient of x must be three
If you are going through point (-3, -5), then you must have a starting point.
Adding 3 to the y coordinate for every x value gives us 4.
This means that the equation must be adding 4 to x.
So, the answer is y = 3x + 4, or A.
m=-4, passes through the point (5,-3)
Answer:
y+3=-4(x-5)
Step-by-step explanation:
m=-4
y-(-3)=-4(x-5)
y+3=-4(x-5)
I need help for 8 and 9 plz help and thank you
Answer:
8) 0 + t = t ------- Identity Property of Addition
(2+b) * 0 = 0 ------- Zero Property of Multiplication
9) n * 0 = 0 ------- Zero Property of Multiplication
1m = m --------- Identity Property of Multiplication
Hope this helps
-Amelia
Answer:
8) Identity Property of Addition
9) Zero Property of Multiplication
Need Help with these problems can so,e some explain and give me the answers.
Answer:
there you go all the answers
Solving a word problem using a two-step med
equally
Espaho
Jim wants to rent a boat and spend at most $34. The boat costs $6 per hour, and Jim has a discount coupon for $8 off. What are the possible numbers of hours
Jim could rent the boat?
User for the number of hours.
Write your answer as an inequality solved for t
Inequality is 6t ≤ 44 and Jim can rent a boat for 7.33 hrs or less
Solution:
Given that
Maximum amount Jim can spend to rent a boat = $34
Rental cost of boat for 1 hour = $6
Also Jim has a discount coupon for $8 off.
Need to determine possible number of hours Jim could rent a boat.
Let’s assume possible number of hours Jim could rent a boat be represented by variable "t"
Cost of renting boat for 1 hour = 6
So Cost of renting a boat for t hours = t x renting boat for 1 hour = t x 6 = 6t
Also Maximum amount Jim can spend to rent a boat = $34
As Jim has a discount coupon for $8 off, so Total amount Jim can spend to rent a boat = $ 34 + $ 8 = $ 44
So cost of renting a boat for t hours must be less that of equal to Total amount Jim can spend to rent a boat
=> 6t ≤ 44
On solving above equality for "t" we get ,
[tex]\begin{array}{l}{t \leq \frac{44}{6}} \\\\ {=>\mathrm{t} \leq 7.3333 \mathrm{hrs}}\end{array}[/tex]
Hence inequality is 6t ≤ 44 and Jim can rent a boat for 7.33 hrs or less.