Answer:
The difference between the longest and shortest sides of the triangle is 4 cm.
Explanation:
Step Number One:
Let the shortest side of the triangle have a length of x.
The middle side of the triangle has a length that is half of 3 times the length of the shortest side. This can be written as 1/2*3x, which equals 3/2x.
The longest side of the triangle has a length that is 2 centimeters longer than the length of the middle side. This can be written as 3/2x + 2.
Step Number Two:
The perimeter of the triangle, which can be found by adding the lengths of all of the sides of the triangle, is 18 centimeters. This can be shown by the following equations:
Shortest Side + Middle Side + Longest Side = Perimeter
x + 3/2x + 3/2x + 2 = 18
4x + 2 = 18
4x = 16
x = 16/4
x = 4
Step Number Three:
This means that the shortest side of the triangle has a length of 4 centimeters and the longest side of the triangle has a length of 8 centimeters.
8 cm - 4 cm = 4 cm
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Are you still confused? Not feeling confident in your ability to solve these types of problems? Some helpful topics to practice are listed below!
Still confused on ...
Step 1 - Practice equation solving!
Step 2 - Practice perimeter!
Step 3 - Practice addition and subtraction!
Remember: Certain problems may be tricky, but practice makes perfect!
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Answer by Math_Is_Me_123
see question in attached photo.
Answer:
b = 2Step-by-step explanation:
We know that:
a/b + c/d = (ad + bc)/bdWe observe the denominator of the first expression is same as the product of the denominators of the second expression.
Compare the numerators and solve for b:
5(x - 1) - 4(x - b) = x + 35x - 5 - 4x + 4b = x + 3x - 5 + 4b = x + 34b - 5 = 34b = 8b = 2In a company, 90% of the workers are . If 480 work for the company who aren't , how many workers are there in all? Use pencil and paper. Show two different ways that you can solve this problem.
Answer:
4720
Step-by-step explanation:
got it from here so should be right.
Factorize 2^x+7 + 2^x+6
Answer:
Step-by-step explanation:
[tex]2^{(x+ 7)} + 2^{(x+ 6 )} = 2^{x} * 2^{7} + 2^{x}*2^{6}\\\\=2^{x} *(2^{7} + 2^{6})[/tex]
[tex]= 2^{x} * 2^{6} ( 2+ 1)\\\\= 2^{x} * 2^{6} * 3[/tex]
-2.3z = -13.8
I need to show work lol
Here are your answers.
it's made by computer.
- BRAINLIEST answerer
Answer:
z = 6
Step-by-step explanation:
- 2.3z = - 13.8 ( divide both sides by - 2.3 )
z = [tex]\frac{-13.8}{-2.3}[/tex] = 6
HELP ME PLEASE RNNN FASTTT
Answer:
The first three are functions
Step-by-step explanation:
4th one fails the Vertical line test.
PLEASE HELP ME!!! jacky starts biking to meet up with her friend. she knows that if she bikes at a speed of 10 mph, she will be 3 minutes late. jacky also know that if she bikes at a speed of 12 mph, she will be there 2 minutes before they agree to meet. how much time does she have left before the appointed time?
Answer:
27s
Step-by-step explanation:
d = distance to rendezvous point in miles
t = time of arrival at 10mph, i.e. 3 mins later than appointed time
10 mph = 10 miles per hour = ¹/₆ miles per min
12 mph = ¹/₅ miles per min
t = d/(¹/₆)
t = 6d
5 min = ¹/₁₂ hr
t - ¹/₁₂ = d/(¹/₅)
t = 5d + ¹/₁₂
Elimination of t:
6d = 5d + ¹/₁₂
d = ¹/₁₂ mi
t = 6(¹/₁₂)
t = ¹/₂ min
Time left to appointed time = ¹/₂ - ³/₆₀
= ¹⁰/₂₀ - ¹/₂₀
= ⁹/₂₀.min → 27 seconds
Answer:
27 min
Step-by-step explanation:
rsm
Y-2=-3(x-7) written in standard form
3x - 5 = 7x + 11
x =
Answer:
[tex]3x - 5 = 7x + 11 \\ 7x - 3x = - 11 - 5 \\ 4x = - 16 \\x = - \frac{16}{4} \\ \color{yellow} \boxed{x =-4}[/tex]
Answer:
x= -4
Step-by-step explanation:
3x-5=7x+11
3x-5+5=7x+11+5
3x=7x+11+5
3x=7x+16
3x-7x=7x+16-7x
-4=7x+16-7x
-4x=16
divided each side by -4
x= 16 over -4
divide them and you get -4.
Profit is revenue minus cost. Find the profit if the cost of producing x units of a commodity is
130+25x and the revenue for selling them is x(88-X).
Answer:
[tex]-x^2+63x-130[/tex]
Step-by-step explanation:
When you put that into an equation:
[tex]x(88-x)-(130+25x)[/tex]
Next, solve.
[tex]\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b[/tex]
[tex]-\left(130+25x\right)=-130-25x[/tex]
[tex]=x\left(88-x\right)-130-25x[/tex]
[tex]x(88-x):88x-x^2[/tex]
[tex]=88x-x^2-130-25x[/tex]
[tex]88x-x^2-130-25x =-x^2+63x-130[/tex]
Therefore, the profit if the cost of producing [tex]x[/tex] units is [tex]-x^2+63x-130[/tex], and there may be restrictions depending on conditions.
-x = 3
HELP ASAP MATHEMATICS
Answer:
x = -3
Step-by-step explanation:
Answer:
x=-3
Step-by-step explanation:
You can just do +x on both sides so: 0=3+x and then -3 on both sides: -3=x.
6 bananas cost the same as 4 oranges. 3 lemons cost the same as 1 orange. 2 limes cost the same as 1 lemon. How many limes cost the same as 1 banana?
If 6 bananas cost the same as 4 oranges. 3 lemons cost the same as 1 orange, one lime costs the same as half of one banana.
Let's assume the cost of one banana is represented by "B" and the cost of one orange is represented by "O". Based on the given information:
6 bananas cost the same as 4 oranges: 6B = 4O
3 lemons cost the same as 1 orange: 3L = 1O
2 limes cost the same as 1 lemon: 2L = 1O
Now, we need to find the cost of one lime in terms of bananas:
From equation 3, we can rewrite it as: L = (1/2)O
Substitute the value of O from equation 2 into the above equation: L = (1/2) * 3L
Now, we have the cost of one lime in terms of lemons. From equation 2, we know 3 lemons cost the same as 1 orange, so we can rewrite it as: L = (1/2) * (1/3)O
Now, substitute the value of O from equation 1 into the above equation: L = (1/2) * (1/3) * 6B
L = (1/2)B
Therefore, one lime costs the same as half of one banana.
To learn more about proportion click on,
https://brainly.com/question/15259359
#SPJ4
What is y= 3x +4 on a graph
y = 3x +4
3 is the slope. Rise 3 run 1 or up 3 right 1.
4 is the y-intercept
Help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
______
[tex] \: [/tex]
[tex] \tt5 - 6x = 8x + 17[/tex]
[tex] \longmapsto \tt \: x = \frac{5 - 17}{ - 6 + 8} [/tex]
[tex] \longmapsto \tt \: x = \frac{ - 12}{8 - 6} [/tex]
[tex] \longmapsto \tt \: x = \frac{ - 12}{ 2} [/tex]
[tex] \longmapsto \tt \: x = \boxed{ \blue{ - 6}}[/tex]
A classroom has 12 girls for every 4 boys. What is the ratio of boys to total students?
Question 7 options:
4 : 16
12 : 4
4 : 12
12 : 16
Answer:
I don't understand please elaborate more your given question.
Step-by-step explanation:
7th grade mathematics
Answer: C 6 1/4
Step-by-step explanation:
2 1/2 % 2/5 = 25/4 = 6 1/4
A delivery company's charge for an overnight package weighing in excess of one pound is given by the formula c= 2.53w + 15, 16
where w is the weight of package in pounds. Find the following.
please help- algebra 2
Answer: -10
Step-by-step explanation:
When you plug in 0 for f(x) you get 0-0-12 which is -12. When you plug in 0 for g(x) you get 0+2 which is 2. When you do -12+2 you get -10.
i need help what is the answer
What type of angle are 2 and 6?
Answer:
CORRESPONDING ANGLES
Step-by-step explanation:
Answer:
Corresponding angles i believe.
Step-by-step explanation:
Britton rotated trapezoid ABCD 180° on the coordinate plane. If angle B is 20° and angle D is 90°, what is the degree measurement of angle B′?
Group of answer choices
20°
70°
90°
180°
Answer:
20°
Step-by-step explanation:
Rotation is one of 3 basic rigid transformation, it will not change the original shape and size. Therefore angle B' should be still 20°
The degree measurement of angle B′ will be same as angle B that is 20°. Then the correct option is A.
What is a transformation of a shape?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.
From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
If the geometry is rotated, then there is no change in anlges.
Britton rotated trapezoid ABCD 180° on the coordinate plane. If angle B is 20° and angle D is 90°.
The degree measurement of angle B′ will be same as angle B that is 20°.
Then the correct option is A.
More about the transformation of the shape link is given below.
https://brainly.com/question/27224339
#SPJ5
Pls help need asap stressing need in 10 mins I will mark as brainliest !! :(
Answer:
C or the min of f(x) is greater
Step-by-step explanation:
2,8 is the vertex which higher than the vertex of g(x)
fill in the blank with the letter of the description that best matches the term for the verb porter, match the subject pronoun with the correct form of the verb. i'll mark Brainliest if the answers are correct.
A. portons
B. porte
C. portez
D. portes
E. portent
FILL IN THE BLANK
je ____
tu ____
nous ____
vous ____
ils ____
Step-by-step explanation:
je........porte
tu.......portes
nous.......portons
vous........portez
ils......portent
Use the information given to find the equation of the line using the point-slope formula (y-y_1)=m(x-x_1)). Then convert your answer to slope-intercept form (y=mx+b).
y-intercept of 2 and (4,-1)
If it's possible please a explanation on how you solved it.
Answer:
y=[tex]-\frac{3}{4}[/tex]x+2
Step-by-step explanation:
y=sx+2;
-1=4s+2;
s=-3/4;
y=[tex]-\frac{3}{4}[/tex]x+2
Henry and his little brother made up a game using coins. They flip the coins towards a cup and receive points for every one that makes it in. Henry starts with 15 points, and his little brother starts with 20 points. Henry gets 3 points for every successful shot, and his brother, since he is younger, gets 2 points for each successful shot. Eventually, the brothers will have a tied score in the game. How many additional shots will each brother have made?
Write a system of equations, graph them, and type the solution.
Answer:
After 5 additional shots, the brothers will have a tied score.
Step-by-step explanation:
find equations
henry:
y-int is 15 because that is the starting number. the slope is 3 because that is how much his points are increasing for every successful shot. we can use this information to form this equation:
y = 3x + 15
brother:
y-int is 20 because that is the starting number. slope is 3 because that is how many points he gets for each successful shot. using this information, we can form the following equation:
y = 2x + 20
--
solve
y = 3x + 15
y = 2x + 20
3x + 15 = 2x + 20
x + 15 = 20
x = 5
--
graph
(just use desmos)
Rectangular closet is 3 feet long It is four times as long as it is wide.
Answer:
12
Step-by-step explanation: Express your length and width as algebraic expressions:
width = x
length = 3
Use the formula for the perimeter of a rectangle to solve for x:
4 x 3 = 12
width = 12
length = 3
2 . 3² - 1 = blank please hurry up and help
Answer all of the following questions. 3 Points a question. ALSO NO LINKS!
Is 2 a prime number?
Is 3 a prime number?
Is 11 a prime number?
Is 18 a prime number?
Is 20 a prime number?
Is 27 a prime number?
Answer:
no
yes
yes
no
no
yes
Step-by-step explanation:
a prime number cant be devided by any thing other than itself or one
Answer:
Step-by-step explanation:
Is 2 is 3 is 11 is 18 is 20 is 27
the graph shown here is the graph of which of the following rational functions?
a. f(x)= 1/x-1
b. f(x)= 1/x
c. f(x)= 1/x+1
Answer:
A
Explanation:
when A's function has x=1, the denominator would be 0, producing an asymptote. Looking at the function, there is an asymptote at x=1, which means it matches A.
1/2 divided by (-3) please help
Answer:
-1/6
Step-by-step explanation:
apply fraction rule to get 1/2(-3)
Multiply the numbers to get 1/-6
apply fraction rule to move negative to make
-1/6
1/2 divided by (-3) = -1/6 or -0.1666666667.
(2x+y)2-y2 if x=-3 y=4 and z=-5