Answers
Answer:
14
Step-by-step explanation:
The perimeter is the sum of the sides, so we have
2x+x+15+4x-7=57
= 7x+8
Subtracting 8 from both sides, we get
7x= 49
Dividing 7 from both sides, we get
x=7
Our sides are then 2x=14, x+15=22, and 4x-7=21. 14 is our answer
Answer:
The shortest length of the triangle is: 14
Hence, option B is correct.
Step-by-step explanation:
Given the triangle with the lengths
[tex]x+15[/tex][tex]4x-7[/tex][tex]2x[/tex]Given that the perimeter of triangle = P = 57
We know that the perimeter of a triangle is the sum of the lengths of the sides of a triangle.
so
[tex]P = (x+15)+(4x-7)+(2x)[/tex]
substitute P = 57
[tex]57 = (x+15)+(4x-7)+(2x)[/tex]
switch sides
[tex]\left(x+15\right)+\left(4x-7\right)+\left(2x\right)=57[/tex]
[tex]x+15+4x-7+2x=57[/tex]
Group like terms
[tex]x+4x+2x+15-7=57[/tex]
Add similar elements
[tex]7x+15-7=57[/tex]
[tex]7x=49[/tex]
divide both sides by 7
[tex]\frac{7x}{7}=\frac{49}{7}[/tex]
simplify
[tex]x=7[/tex]
Now, measuring the lengths by substituting x = 7
[tex]x+15 = 7+15 = 22[/tex][tex]4x-7 = 4(7)-7 = 28 - 7 = 21[/tex][tex]2x = 2(7) = 14[/tex]Therefore, the shortest length of the triangle is: 14
Hence, option B is correct.
Related Questions
Will give brainliest!
Answers
Describe the expression using an appropriate term or phrase.
7+(15x+5)
Which is the correct description?
1. product of two terms
2.sum of two terms
3.quotient of two terms
4.difference of two terms
Answers
Answer:
2. the sum of 2 terms
Step-by-step explanation:
It is the sum of 2 terms because in this expression you are simply just adding.
Kendra bought 163 donuts for $60. Her profit was $55 once she had sold 100 donuts. Which equation below
represents Kendra's profit P(n), as a function of the number sold, n ?
Answers
Answer:
Concept: Mathematical Modeling
163 donuts for 60 She mad 55 in profit: 55/163= .33 per donut P(n)= 163(n)Note: You didn't provide the optionsThe equation which represents Kendra's profit P(n) will be P(n) = 0.55n.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
Given,
Profit was $55 by selling 100 donuts
Profit per donuts = 55/100 = $0.55
Let's say she sold n number of donuts
Then.
Profit P(n) = 0.55n.
Hence "Kendra's profit P(n) will be P(n) = 0.55n".
For more about the function
brainly.com/question/23712366
#SPJ5
What is an equation of the line that passes through the points (-3,-1) and
(6,2)? Put your answer in fully reduced form.
Answers
Answer:
y=1/3x
When x of the line is -3, y of the line must be -1.When x of the line is 6, y of the line must be 2. y=1/3x+b. b is what we want, the 1/3 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the two points (-3,-1) and (6,2).(-3,-1). y=mx+b or -1=1/3 × -3+b, or solving for b: b=-1-(1/3)(-3). b=0.b came out to be zero, so there is no "+b" term.
gio paid $30 to have 6 shirts cleaned at the dry cleaners. What is the constant of proportionality that relates the cost in dollars to clean shirts , y , to the number of shirts, x?
Answers
Answer:
The constant of proportionality is 5
Step-by-step explanation:
Given
[tex]y = \$30[/tex] --- Cost
[tex]x = 6[/tex] --- Number of shirts
Required
Determine the constant of proportionality
The relationship between y and x is:
[tex]y =kx[/tex]
Where:
k = constant of proportionality
Substitute [tex]30\ for\ y[/tex] and [tex]6\ for\ x[/tex]
[tex]30 = k * 6[/tex]
[tex]30 = 6k[/tex]
Divide both sides by 6
[tex]\frac{30}{6} = \frac{6k}{6}[/tex]
[tex]\frac{30}{6} = k[/tex]
[tex]5 = k[/tex]
[tex]k = 5[/tex]
The constant of proportionality is 5
Which point is in the solution set of the given system of inequalities?
Answers
Answer:
(1/5, 9/5)
Step-by-step explanation:
Given the set of inequities
x+y>2..... 1
4x-y≥-1 .... 2
We are to get the solution point (x,y)
Solving simultaneously
From 1:
x>2-y
Substitute into 2
4(2-y)-y≥-1
4(2)-4y-y≥-1
8-5y≥-1
-5u ≥-1-8
-5y ≥-9
y≤9/5
Since x>2-y
x>2 - 9/5
x>1/5
Hence the required point is (x,y) = (1/5, 9/5)
Answer:
C. (0,3)
Step-by-step explanation:
hope this helps :)
Solve the equation 64f^2-225.
Answers
Find the distance between the points (8,-3) and (2, -3).
Answers
Because the Y values are the same ( -3) the distance is the difference between the x values:
Distance = 8-2 = 6
The answer is 6
Is there enough information to prove that the triangles are congruent?
If yes, provide the correct Triangle Congruence Postulate or Theorem and a
congruence statement,
If no, justify your answer.
Answers
Step-by-step explanation:
The triangles are congruent due to Hypotenuse-Leg congruence. (HL congruence)
Each of the triangles have a right-angle, a congruent hypotenuse and a congruent side of the triangle.
Therefore Triangles ABC and PRQ are congruent.
Answer:
YesStep-by-step explanation:
Given
Right triangles with congruent hypotenuse and one leg.This is sufficient for HL (Hypotenuse, Leg) congruence theorem
Can someone please help me?!?! I need this done before 1-5-21
Answers
Answer:
8=w, -8=w (±8=w)
Step-by-step explanation:
192=[tex]3w^{2}[/tex]
First, divide by 3
64=w²
now take the square roots of 64 and w² ( we're thinking about which numbers/variables will be multiplied to get 64 and w². They are 8 and w. But wait! -8 can also work, since when you square it a negative number, it will turn positive. )
8=w, -8=w
You can also write it as ±8=w
Hope this helps!
If you fly on a helicopter for 20 minutes at a speed of 240 km/h how far will you go in miles? PLS ANSWER ASAP WILL MARK BRAINLIEST!
Answers
Answer:
your answer should be 49.7097
Step-by-step explanation:
Use the distributive property to evaluate the following expression: 9 x (4 + 9) . Show your work in your answer.
Answers
Write an equation for this scenario and solve.
Diego scored 9 points less than Andre in the basketball game. Noah scored twice as many points as Diego. If Noah scored 10 points, how many points did Andre score?
Answers
Answer:
lets call andere A and diego D.
so
A-9=D
D times 2 = n
now we divide 10/2 and thats 5
diego scored 5 points so we can sub in
A-9=5
now we add 9. making 14
ANDRE SCORED 14
Answer:
Diego scored 14 points
x = 14
Hope this helps!
Brad buys a jacket that is on sale for 30% off the original price.The expression p - 0.3p can be used to find the sale price of the jacket, where p is the original price of the jacket. If the original price of the jacket is $80, what is the sale price?
Answers
Answer:
$56
Step-by-step explanation:
The jacket is on sales for 30% off the original price = (0.3)
The original price (P) = $80
However, the expression "p - 0.3p" is to be used to find the sales price
The sale price = p - 0.3p
The sale price = $80 - 0.3($80)
The sale price = $80 - $24
The sale price = $56
Alfonso solved a division problem by drawing an area model.
a. Look at the area model. What division problem did Alfonso solve?
Answers
Answer:
.
Step-by-step explanation:
.
pls can somebody help me...
Answers
Answer:
Domain and Range in set notation
Domain: {x|x=4,0,-2}
Range: {x|x=-1,4,9,-9}
Step-by-step explanation:
We are given a relation G
G={(4,-1),(0,4),(-2,9),(-2,-9)}
We need to find domain and range of the relation G
Domain: The domain is the set of all first elements of ordered pairs (x-coordinates)
Range: The range is the set of all second elements of ordered pairs (y-coordinates).
So for the given relation G={(4,-1),(0,4),(-2,9),(-2,-9)}
Domain is: (4,0,-2)
Range is: (-1,4,9,-9)
So, Now writing Domain and Range in set notation
Domain: {x|x=4,0,-2}
Range: {x|x=-1,4,9,-9}
Francois earns a weekly salary of $475 plus a 5.5% commission on sales at a gift shop. How much would he earn in a week if he sold $700 in goods? Round to the nearest cent.
Answers
Answer:
$513.5
Step-by-step explanation:
$475 + ($700 x 5.5 / 100)
$475 + ($3850 / 100)
$475 + $38.5
$513.5
What is this? Please answer with an explanation
Answers
Mr. Gray received $80 in cash for mowing lawns answer each part to determine what Mr. Gray did with his money.
Part A: mr. Gray put 20% of the $80 into the bank how much money did Mr. Gray put into the bank?
Part B: mr. Gray spent 1/4 of the $80 how much money did Mr. Gray spend?
Part C: mr. Gray kept the remaining amount of money how much money does Mr. Gray keep?
Answers
Answer:
Part A: $16
Part B: $20
Part C: $44
Step-by-step explanation:
5/32 × 64y/100 please help :,)
Answers
Answer:
1/10y
Step-by-step explanation
(5/32(64))(y)/100
Find the coordinates of P so that P partitions the segment AB in the ratio 2/5 if A(-8, -2) and B(6, 19)
Answers
Answer:
P=(-4/5,34/5)
Step-by-step explanation:
P=2/5{(-8+6),(-2+19)}
P=2/5{-2,17}
P={-4/5,34/5}
what expression is d squared
Answers
Create a problem for the equation 4n + 7 = 55. Show how you know it is correct.
Answers
Answer:
Matt needs to read 55 books for the school book fair. He has already read 7 and reads books at a rate of 4 books per day. How many more books will he need to read?
(can I get brainliest pls)
please answer asap no trolls!!
Answers
Answer:
1. b = 47
2. c = 18
Step-by-step explanation:
From the question given above, we can see that the two shapes are right angle triangle.
Thus, if ΔUVW ≅ ΔFED, then
1. VW = ED
2. UW = FD
3. UV = EF
1. Determination of the value of b.
UW = 47
FD = b
UW = FD
47 = b
Therefore,
b = 47
2. Determination of the value of c.
VW = c
ED = 18
VW = ED
c = 18
IGIVEEEEEEEEEEEEEEEEEEEEE BRSAINLILSTER
Answers
Answer:
G
Step-by-step explanation:
question below thanks
Answers
Answer:
y= half of x +2
Step-by-step explanation:
Ex: y=3
Half of X is 1. 1+2=3
Ex: y=4
Half of X is 2. 2+2=4
Etc. im not going to do all the problems but i hope this helps :)
In a survey of 2,200 people who owned a certain type of car 1,430 said they would buy that type of car again what percent of people surveyed were satisfied with the car
Answers
Answer:
its 65 percent
Step-by-step explanation:
cable has 2 1/5 yard of rope. he uses 3/4 of the rope to make a dog leash. which expression can be used to represent 3/4 of 21/5
Answers
Answer:
B
Step-by-step explanation:
Thank me later
In a toy store the ratio of the number of dolls to the number of teddy bears is 6:5. If the store has 240 dolls how many teddy bears are in the store?
Answers
Answer:
240:200 There’re 200 teddy bears at the store.
Step-by-step explanation:
Let the random variable Q represent the number of students who go to a certain teacher's office hour each day. The standard deviation of Q is 2.2. Which of the following is the best interpretation of the standard deviation? А. On average, the number of students going to an office hour varies from the mean by about 2.2 students. B. For a randomly selected office hour, the number of students who will go is 2.2. C. For a randomly selected office hour, the number of students expected to go will vary from the mean by 2.2 students. D. For a random selection of office hours, the average number of students expected to go is 2.2. E. For a random selection of office hours, the E average number of students expected to go will vary from the mean by 2.2 students.
Answers
Answer: А. On average, the number of students going to an office hour varies from the mean by about 2.2 students
Step-by-step explanation:
The standard deviation is a measure of spread, which gives how values deviate from the average or mean value of a particular distribution. Hence, the standard deviation is usually defined about the average value of a distribution.
Therefore, for a certain random variable representing the number of student who visits office hours, the standard deviation will be defined about the average or mean value of the random variable Q.
Thus, stated as ; number of students going to an office hour varies from the mean by 2.2 on average.