Answers
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
We can utilize the Triangle Propotionality Theoerm.
Therefore, we acquire that:
[tex]\displaystyle \frac{14}{x-3}=\frac{16}{x-2}[/tex]
Solve for x. Cross-multiply:
[tex]16(x-3)=14(x-2)[/tex]
We can first divide everything by 2:
[tex]8(x-3)=7(x-2)[/tex]
Distribute:
[tex]8x-24=7x-14[/tex]
Add 24 to both sides:
[tex]8x=7x+10[/tex]
Subtract 7x from both sides. Therefore, the value of x is:
[tex]x=10[/tex]
Related Questions
Mr.Camron had 1/3 of a pan of lasagna represented by the shaded part of the rectangle. He cut the lasagna into 4 equal pieces and ate one piece for lunch. What fraction of the whole pan of lasagna did Mr.Camron eat for lunch?
Answers
Answer:
1/12 of the pan
Step-by-step explanation:
He has 1/3 of a pan of lasagna.
You are dividing it by 4 as he cut the 1/3 pan into 4 equal pieces, so you can do 1/3 divided by 4.
A simple trick to divide a fraction from a number is to change the division sign to multiplication and flipping over the second fraction.
So 1/3 / 4
would become
1/3 x 1/4
and so it is 1/12
1/12 is your answer
Hope this helps!
A couple of college students get the idea to open a snack stand at the regatta festival this summer. The students sell delicious soft pretzels. They pay the city $648 to set up their stand for the entire regatta. They also figure the cost for dough, coarse salt, and other things they need is $0.20 per pretzel. They sell each pretzel for $2.90. a. What is the cost and the income obtained from selling forty pretzels?
b. If the income from selling the pretzels was $261, how many pretzels did they sell?
c. How many pretzels must they sell to break even, according to the algebraic model?
Answers
Answer:
a) The cost of producing 40 pretzels is $656
The income for selling 40 pretzels is $116
b) They sold 90 pretzels
c) They must sell 240 pretzels to break-even
Step-by-step explanation:
Linear Models
A linear model is an equation that describes a relationship between two quantities that have a constant rate of change.
One of the most-used equations of linear models is the slope-intercept form, written as:
y = mx + b
Where m is the slope of the graph of the line and b is the y-intercept.
The total cost of producing soft pretzels is divided into two parts:
* A fixed cost of $648 to set up their stand for the entire regatta.
* A variable cost of $0.20 per each pretzel.
Thus, the cost function can be written as:
C(x)=648+0.20x
Where x is the number of pretzels produced.
The students sell each pretzel for $2.90. This means the income (revenue) function for selling x pretzels is:
R(x)=2.90x
a) The cost of producing x=40 pretzels is:
C(40)=648+0.20*40
C(40)=648+8
C(40)=656
The cost of producing 40 pretzels is $656
The income is:
R(40)=2.90*40=116
The income for selling 40 pretzels is $116
b) If the income from selling pretzels is R=$261, then:
2.90x=261
Solving for x:
x = 261/2.90
x = 90
They sold 90 pretzels
c) To break-even the total cost and the income must be equal:
2.90x=648+0.20x
Subtraction 0.20x:
2.70x=648
Dividing by 2.70:
x = 648/2.70
x = 240
They must sell 240 pretzels to break-even
Calculate the average speed of an insect that walked 27 centimeters in 9 seconds. *
A 9 cm/s
B 27 cm/s
C 243cm/s
D 3 cm/s
Answers
Answer:
D) 3cm/s
Step-by-step explanation:
Speed (or velocity) is calculated with d/t (distance/time). From the multiple-choice options, we know the unit is cm/s, which makes it super convenient.
Now, using the equation and seeing that 27cm is the distance and 9s is the time, 27/9 =3.
Therefore, the answer is D, 3cm/s.
Hope that helps!
What is the measure of B?
Answers
Drag and drop the numbers into the boxes to create an expression that is equivalent to the given expression
213 +35
Answers
Answer:
7 and 21
Step-by-step explanation:
write as a single fraction in its simplest form 2x -1 / 3 - 2/x + 1
Answers
Answer:
(2x^2 + x-7)/3x+ 3
Step-by-step explanation:
Here, we want to write the following as a single fraction;
2x-1/3 - 2/x + 1
That will be;
(2x-1)(x + 1) -2(3)/3(x+ 1)
= 2x^2+ 2x-x-1-6/3(x + 1)
= (2x^2+x-7)/3(x+1)
= (2x^2 + x-7)/3x+ 3
PLS THIS IS TIMED! I WILL GIVE BRAINLIEST!!!!
Answers
Answer:
the answer is y= 5(0.25)^x or C
Step-by-step explanation:
Who knows how to do this I TRULY NEED HELP
Answers
Answer:
9
Step-by-step explanation:
What is the value of x in this equation?
5x - 2(2x- 1) = 6
OA. 3
O B. 4
O C. 7
O D. 8
Answers
Answer:
C
Step-by-step explanation:
Answer:
B. 4
Step-by-step explanation:
5x - 2(2x-1) = 6 Distribute first the 2 to (2x-1)
5x - 4x + 2 = 6 Subtract 5x - 4x
x + 2 = 6 Transpose 2 to the right side by subtracting both side by 2
x = 6 -2
x = 4
What is the value of x in the equation?
Two-thirds (x + 6) = negative 18
Answers
Answer:
the answer is x= -33
Step-by-step explanation:
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Tom sells Tvs at an electronic store. He gets paid $100 for each TV he sells. He also gets a $500 bonus each month for selling above a certain amount. Tom wants to make a least $1,500 this month. How many TVs will he have to sell if he gets $500 bonus?Chose the inequality that best represents this situation.
A. 100t+500≥1,500
B. 100t+500≤1,500
C. 100t+500<1,500
D. 100+500t≥1,500
Explain your reasoning and solve the inequality:
Answers
Answer:
The answer is A
Tom will have to sell at least 10 TVs to get the bonus and to get $1,500
Step-by-step explanation:
Total: The same or above 1500
Tom gets paid 100 for each TV = 100t
He can get a 500 bonus by selling a certain amount = 500
100t + 500 ≥ 1,500
100t + 500 - 500 ≥ 1500 - 500
100t ≥ 1000
100t ÷ 100 ÷ 1000 ÷ 100
t ≥ 10
Tom will have to sell at least 10 TVs to get the bonus and to get $1,500
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
im not sure how to do this
Answers
x = 99
hope this helped!
Answer:
99 or 28 sorry I couldn't help
Darien's kitten weighs 2.25 pounds. Her dog weighs 10 times the weight of the kitten. How much does her dog weigh?
Answers
Answer: 22.5 LBS (Or Pounds)
Work: After I multiplied 2.25 by 10, I received the answer above. Happy Holidays! :)
Answer:
22.5 pounds
Step-by-step explanation:
You multiply 10 by 2.25 to get your answer
You can just move the decimal to the right one decimal place since you're multiplying by 10
WILL GIVE BRAINLIEST PLS HELP !!
Answers
Answer:
SAS
Step-by-step explanation:
You have two sides and the right angle
The two trapezoids shown below are similar . What is the length of x?
Answers
mark me brainliest if the answer is correct, thank you in advance :)
please help me with this question
Answers
Answer:
top right and bottom left
Step-by-step explanation:
im in precal and if i get this wrong i am so sorry
but im pretty sure those r what increasing graphs look like as the increase in a positive direction
hope this is correct and helps :)
Work out the value of x! Will award brainiest
Answers
Answer:
X=67.5
Step-by-step explanation:
90+X +3x =360
4x=360-90
X=270/4=67.5
Which system of equations is represented by this graph?
y= _ x+3
y= _ x-3
Answers
And other one 1/2
Like 80% sure:)
The system of equations represented by the graph are
y = 2x + 3 and y = (-1/2)x - 3
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of one line on the graph.
y = mx + c
Select two coordinates from the line.
(0, 3) and (-3, -3)
m = (-3 - 3) / -3 = -6/-3 = 2
(0, 3) = (x, y)
3 = 0 + c
c = 3
The equation of the line is y = 2x + 3
The equation of the other line on the graph.
y = mx + c
Select two coordinates from the line.
(0, -3) and (2, -4)
m = (-4 + 3) / 2 = -1/2 = -1/2
(0, -3) = (x, y)
-3 = 0 + c
c = -3
The equation of the line is y = (-1/2)x - 3
Thus,
y = 2x + 3 and y = (-1/2)x - 3 are the system of equations.
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs 20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4.
Answers
Answer:
Range[4,24,44,64,84,104,124]
Step-by-step explanation:
CHECK THE COMPLETE QUESTION BELOW;
A set of weights includes a 4 lb barbell and 6 pairs of weight plates. Each pair of plates weighs
20 lb. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in
pounds can be represented by f x( ) = 20x + 4.
What is the range of the function for this situation?
The range of a function can be defined as the difference between the maximum and minimum function. From the question, we can deduced that the minimum function of X is 0 and no plate is added, and the maximum is 6
The given function is
f(x) = 20x + 4 =
f(0) = 20(0) + 4
= 4
f(6) = 20(6) + 4
= 124
Which means the range is within 4 and 124.
But we are told from the question that Each pair of plates weighs 20 lb, which means there is difference of 20ib each between 4 and 24
Then we can compute the range as [4,124] or (4,24,44,64,84,104,124)
Write the quadratic equation in standard form: 5x^2+3=x
Answers
Answer:
5x² - x + 3 = 0
Step-by-step explanation:
The standard form of a quadratic equation is
ax² + bx + c = 0 ( a ≠ 0 )
Given
5x² + 3 = x ( subtract x from both sides )
5x² - x + 3 = 0 ← in standard form
Which describes the graph of y=(x+6)^2+1?
A. Vertex at (-6,-1)
B. Vertex at (6,-1)
C. Vertex at (-6,1)
D. Vertex at (6,1)
Answers
Use the expression 10x2 + 9x + 11 to answer the following: Part A: How many terms are in the expression? Part B: Name all coefficients in the expression. Part C: What is the constant in the expression?
Answers
Answer:
terms 3
coefficients 2
constant is your 11
Step-by-step explanation:
help with math? heres the question.
-
answer options:
8
2
5
3
Answers
38x-2=112
add 2 to both sides you then get
38x=114
divide 38 by both sides
and you will get 3 hope that helps
please help me answer my question
Answers
f = -15/4
Elizabeth reduced a picture that is 10 inches long by 8 inches wide using a photocopier. the reduced picture is now 6 inches long. what scale factor did the photocopier reduce the picture?
Please show your work!
Answers
Answer:
0.6
Step-by-step explanation:
10l|8w
6l`|?w`
6/10=0.6
0.6 x 8w = 4.8w
Scale factor = 0.6
Step-by-step explanation:
please delete this comment
If OB= 2x+1 and
BR = 3x-10 then OR=
Answers
So 2x + 1 (OB) + 3x -10 (BR) = OR
2x + 1 + 3x -10 = OR
(Simplify)
5x - 9 = OR
whats 17+-44 describe how you got that answer”
Answers
If it’s a negative and a positive then the answer will be a negitive but if it’s two negatives then the answer will be positive
Answer:
17 plus 44 is 61.
Step-by-step explanation:
I used a calculator. In order for ur brain to learn something new, its got to get rid of some stuff. am I right?
Graph the line that passes through the points (3, -5) and (-1, -9) and determine
the equation of the line.
Answers
Answer:
the slope intercept equation for this line would be y = x - 8
Step-by-step explanation:
the slope of the line is 1 so you dont have to include it in the equation and it crosses the y line at -8 so the y-intercept is -8
Answer:
y= x-8
Step-by-step explanation:
Which of the following pairs of functions are inverses of each other?
A.
[tex]f(x) = \frac{x}{4} + 10 \: and \: g(x) = 4x - 10 [/tex]
B.
[tex]f(x) = {2x}^{3} + 9 \: and \: g(x) = \sqrt[3]{ \frac{x}{2} } - 9 \: [/tex]
C.
[tex]f(x) = \frac{12}{x} - 18 \: and \: g(x) = \frac{12}{x + 18} [/tex]
D.
[tex]f(x) = {6x}^{3} - 7 \: and \: g(x) = \frac{ {x}^{3} + 7}{6} [/tex]
answer: C.
Answers
A map has a scale of 2 cm = 25 km. Two cities are 15 centimeters apart on the map. What is the actual distance between the cities?
Answers
Answer:
187.5 km
Step-by-step explanation:
For every 2cm there is 25km, So 2cm/25km. Now you are given 15cm, and you need to find the actual distance in km. Set up the fraction 2cm/25km=15cm/Xkm and solve for X using cross multiplication as follows:
2x=25(15), so 2x=375, X=187.5 km.
