Answers
Answer:
x = 27/8
Step-by-step explanation:
We can write a ratio to solve
x 3
------- = ----------
x+9 11
Using cross products
x*11 = 3(x+9)
11x = 3x+27
Subtract 3x from each side
8x = 27
8x/8 = 27/8
x = 27/8
Related Questions
The perimeter of Tamara's suitcase is 8x - 3 and the perimeter of Anna's suitcase is
3x + 2. Write an algebraic expression that represents
the difference between the perimeter of Tamara's suitcase
and the perimeter of Anna's suitcase?
Answers
Answer:
perimeter: 2
Step-by-step explanation:
8x-3 = 6x
8x – 6x = 3
2x = 3
x = 3/2
The required algebraic expression that represents the difference between the perimeter of Tamara's suitcase and the perimeter of Anna's suitcase is 5x - 5.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
The difference between the perimeter of Tamara's suitcase and Anna's suitcase can be found by subtracting the expression for the perimeter of Anna's suitcase from the expression for the perimeter of Tamara's suitcase:
(8x - 3) - (3x + 2)
Simplifying the expression by removing the parentheses and combining like terms, we get:
8x - 3 - 3x - 2
= 5x - 5
Therefore, the algebraic expression that represents the difference between the perimeter of Tamara's suitcase and the perimeter of Anna's suitcase is 5x - 5.
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What type of model does the pattern show (linear or exponential)and explain please !!!!
Please and thanks
Answers
Explanation:
The first figure has 2 blocks.
The second figure has 4 blocks.
The third figure has 8 blocks
The pattern 2,4,8,... follows the rule "double the current value to get the next one". Because we have this going on, we have an exponential pattern here.
A linear pattern would be something like 2,4,6,8,10,... showing that we add on 2 each time, rather than multiply by 2 each time. So as you can guess, or already know, exponential patterns grow much quicker compared to linear ones.
in a survey survey of 1200 students who have passed SEE 150 like to admit in science Faculty 600 in humanity first and 240 like to admit either of faculties and the rest were found not to be admitted in both faculties
Answers
Step-by-step explanation:
here is your answer it may help you
There are 700 don't like to admit in both faculties.
What is Addition?The process of combining two or more numbers is called the Addition. The 4 main properties of addition are commutative, associative, distributive, and additive identity.
Given that;
In a survey, survey of 1200 students who have passed SEE 150 like to admit in science Faculty 600 in humanity first and 240 like to admit either of faculties and the rest were found not to be admitted in both faculties
Hence, not to be admit in any faculty = N
Science + Humanity - Either + None = 200
=> 150 + 600 - 240 + N = 1200
=> 750 - 240 + N = 1200
=> N = 700
Hence, 700 don't like to admit in both faculties.
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Now there is a square city of unknown size with a gate at the center of each side. There is a tree 20 b from the north gate. That tree can be seen when one walks 14 bu from the south gate, turns west and walks 1775 bu. Find the length of each side of the city.
Answers
Answer:
The length of each side of the city is 250b
Step-by-step explanation:
Given
[tex]a = 20[/tex] --- tree distance from north gate
[tex]b =14[/tex] --- movement from south gate
[tex]c = 1775[/tex] --- movement in west direction from (b)
See attachment for illustration
Required
Find x
To do this, we have:
[tex]\triangle ADE \sim \triangle ACB[/tex] --- similar triangles
So, we have the following equivalent ratios
[tex]AE:DE = AB:CB[/tex]
Where:
[tex]AE = 20\\ DE = x/2 \\ AB = 20 + x + 14 \\ CB = 1775[/tex]
Substitute these in the above equation
[tex]20:x/2 = 20 + x + 14: 1775[/tex]
[tex]20:x/2 = x + 34: 1775[/tex]
Express as fraction
[tex]\frac{20}{x/2} = \frac{x + 34}{1775}[/tex]
[tex]\frac{40}{x} = \frac{x + 34}{1775}[/tex]
Cross multiply
[tex]x *(x + 34) = 1775 * 40[/tex]
Open bracket
[tex]x^2 + 34x = 71000[/tex]
Rewrite as:
[tex]x^2 + 34x - 71000 = 0[/tex]
Expand
[tex]x^2 + 284x -250x - 71000 = 0[/tex]
Factorize
[tex]x(x + 284) -250(x + 284)= 0[/tex]
Factor out x + 284
[tex](x - 250)(x + 284)= 0[/tex]
Split
[tex]x - 250 = 0 \ or\ x + 284= 0[/tex]
Solve for x
[tex]x = 250 \ or\ x =- 284[/tex]
x can't be negative;
So:
[tex]x = 250[/tex]
Anyone knows the answer?
Please!
Answers
Answer:
C
Step-by-step explanation:
sin(theta)=7/8, theta=arcsin(7/8)=61
You want to paint the walls of your bedroom. Two walls measure 16 ft by 8 ft, and the other two walls measure 15 ft by 8 ft. The paint you wish to purchase must be purchased in one-gallon cans and costs $17 per gallon. Each gallon will cover 400 ft2 of wall. Find the total amount you will spend on paint.
Answers
Answer:
a
Step-by-step explanation:
becuse i got it right
Answer:
Step-by-step explanation:
The first 2 walls are
2 * 16 * 8 = 256
The second 2 walls are
2 * 15 * 8 = 240
Total number of square feet = 496
If you thin it a bit, likely 1 gallon will do you, but this is math. We don't do anything practical.
you have 96 square feet left over. You should buy 2 gallon cans
1 can cost 17 dollars.
2 cans cost 34 dollars.
You could try buying a quart which just might do. That will be less.
4 pounds of oranges costs $ 12 . What is the unit price per pound?
Answers
Answer:
3 dollars per pound
Step-by-step explanation:
Unit Price = Cost / Pounds of oranges
Unit Price = 12 / 4
Unit Price = 3
The unit price per pound is $3
Joel and Matt must together save at least $50.00 to buy a special present for their mother.
Joel saves twice as much as Matt. Which inequality best represents the situation if x
represents the amount of money that Matt saves?
Answers
Answer:
Option (2)
Step-by-step explanation:
Let the savings of Joel = $y
And the savings of Matt = $x
They jointly save at least $50 to buy a special present.
Therefore, equation for this condition will be,
x + y ≥ 50 --------(1)
Joel saves twice as much as Matt.
Equation for this condition will be,
y = 2x ------ (2)
By substituting the value of 'y' in the equation,
x + 2x ≥ 50
Therefore, Option (2) will be the answer.
(b)
The Cartesian coordinates of a point are given.
(1, -5)
(i) Find polar coordinates (r, 0) of the point, where r> 0 and 0 = 0 < 2.
(r, 0) =
(
(ii) Find polar coordinates (r, 0) of the point, where r < 0 and 0 < theta<2pi.
(r, 0) =
Answers
Answer:
Step-by-step explanation:
a) r = √(1² + (-5²)) = √26 = 5.09901...
θ = tan⁻¹(-5/1) = 4.9097... radians
(5.1, 4.9)
b) r = - 5.09901...
θ = 4.9097... - π = 1.76819...
(-5.1, 1.8)
given the recursive formula below, what are the first four terms of the sequence
Answers
Answer:
c
Step-by-step explanation:
The first four terms are 17, 15, 13, and 11.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(n):
f(1) = 17
f(n) = f(n - 1) - 2 if n > 1
Now,
The first term is 17.
The second term.
f(2) = f(2 - 1) - 2
= f(1) - 2
= 17 - 2
= 15
The third term.
= f(3 - 1) - 2
= f(2) - 2
= 15 - 2
= 13
The fourth term.
f(4) = f(4 - 1) - 2
= f(3) - 2
= 13 - 2
= 11
Thus,
The terms are 17, 15, 13, 11
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ixl area of sectors. I am struggling on this question
Answers
Answer:
español :/
Step-by-step explanation:
Answer:
256/5 pi
Step-by-step explanation:
= angle/360 × pi×r^2
= 72/360 × pi × 16^2
= 51.2 pi
= 256/5 pi
Angelica’s bouquet of a dozen roses contains 5 white roses. The rest of the roses are pink what fraction of the bouquet is pink? There are 12 roses in a dozen.
A. 5/12
B. 7/12
C. 5/7
D. 7/5
Answers
Answer:
7/12
Step-by-step explanation:
There are 12 roses - 5 white = 7 pink
7 pink / 12 total
Which table represents a linear function?
Answers
Answer:
C
Step-by-step explanation:
C is the only function that have a consistent decrease while A is a trigonometric function, B is a non linear function, D is an exponential function
Aliana is supposed to get back to a customer with an answer about a refund by the end of the day, but she won't have all the approvals she needs to process the refund by that time. What should she do? O a) Call the customer only when she has processed the refund Ob Tell the customer that she should have called about the problem earlier Oc) Explain to the customer that her bosses are the ones that are taking forever O di Apologize to the customer and say that she will call her tomorrow with an update
Answers
Answer:
"ob" is the answer of this long question
Answer:
D
Step-by-step explanation:
reason:
not A cuz the customer has to wait for a long time, and she feel waste of time
not B cus it's the store's responsiblity, not customer. if she said that, the customer would feel be disrespected. and i swear she never comes back that store.
C if she said that, customer also feel waste of time when she has to talk with Aliana who cant solve her problem
and the boss will think Ali couldnt have no problem-solving skills
Write an expression to represent how many fourths are in 3- fourths?
Answers
Answer:
[tex]\frac{3}{4} =\frac{1}{4} (3)[/tex]
Step-by-step explanation:
like that?
Answer:
3/4
Step-by-step explanation:
Step 1: Write an expression
A fourth is 1/4
3 fourths means 3 one forths
1/4 + 1/4 + 1/4
3/4
Answer: 3/4
the polygons in each pair are similar find the scale factor smaller figure to the larger
Answers
Answer:
Smaller Figure 3
Larger Figure 5
Scale factor = 15/25 = 3/5
please help with this on the picture
Answers
Answer:
There is not enough information to solve this problem :(
Find the measure of the missing angles.
Answers
Answer:
e- 77
d- 52
f- 51
Step-by-step explanation:
Step-by-step explanation:
d=52° (,vertically opposite angle)
77+52+f=180 (linear pair)
f=180- 129
f=51°
52+51+e=180
e=180- 103
e=77°
I need help ASAP anyone?
Answers
Explanation:
Each vertical asymptote is due to a division by zero error.
For instance, the vertical asymptote x = 3 is from the factor (x-3) in the denominator. If we plugged x = 3 into (x-3), then it turns into 0 and we cannot have 0 in the denominator.
Similarly, the factor (x+3) leads to x = -3
So overall, we have (x-3)(x+3) in the denominator.
What is the common ratio between successive terms in the sequence?
1.5, 1.2, 0.96, 0.768,...
0 0.8
-0.3
0 0.3
O 0.8
Answers
Answer:
[tex]1.5,1.2,0.96,0.768[/tex]
Common ratio between successive terms
[tex]=\frac{1.2}{1.5}[/tex]
[tex]=0.8[/tex]
OAmalOHopeO
The value of the common ratio between successive terms in the sequence is,
⇒ 0.8
What is Geometric sequence?An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
The sequence is,
⇒ 1.5, 1.2, 0.96, 0.768,...
Hence, The value of the common ratio between successive terms in the sequence is,
⇒ 1.2 / 1.5
⇒ 12/15
⇒ 0.8
Thus, The value of the common ratio between successive terms in the sequence is,
⇒ 0.8
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let a function F:A➡️B be defined by f(x)=x+1÷2x-1 with A={-1,0,1,2,3,4} and B= {-1,0,4/5,5/7,1,2,3,}.Find the range of f. plzzzz help
Answers
Answer:
Range: {-1, 0, 5/7, 4/5, 1, 2}
Step-by-step explanation:
We know that:
f(x) = (x + 1)/(2x - 1)
And:
f: A ⇒ B
where:
A={-1,0,1,2,3,4}
B= {-1,0,4/5,5/7,1,2,3,}
We want to find the range of f(x).
The range of f(x) will be the set of the outputs of f(x) (and because f goes from A to B, we will only take the outputs that belong to B).
Then we only need to evaluate all the values of A in f(x), and see if the output belongs to B.
we have:
f(x) = (x + 1)/(2x - 1)
f(-1) = (-1 + 1)/(2*-1 - 1) = 0 (this does belong to B)
f(0) = (0 + 1)/(2*0 - 1) = -1 (this does belong to B)
f(1) = (1 + 1)/(2*1 - 1) = 2 (this does belong to B)
f(2) = (2 + 1)/(2*2 - 1) = 1 (this does belong to B)
f(3) = (3 + 1)/(2*3 - 1) = 4/5 (this does belong to B)
f(4) = (4 + 1)/(2*4 - 1) = 5/7 (this does belong to B)
So the range of f(x) is the set with all these outputs, which is:
Range: {-1, 0, 5/7, 4/5, 1, 2}
How many solutions on the interval {0, 2020} sin 2x + 1 + sin x + cos x have?
Answers
Answer:
0
Step-by-step explanation:
We are again studying the times required to solve two elementary math problems. Suppose we ask four students to attempt both Problem A and Problem B. Assume the students are independent and all results are normally distributed, but note that a particular student's times on the two questions are likely to be positively correlated. The results are presented below (in seconds).
student Problem A Problem B
1 20 35 2 30 40 2 3 15 20 4 40 50
Again find a two-sided 95% CI for the difference in the means of A and B.
Answers
Answer:
(-16.494 ; -3.506)
Step-by-step explanation:
student Prob A Prob B difference, d (A-B)
1 20 35____ - 15
2 30 40 ___ - 10
3 15 20 ___ - 5
4 40 50 __ - 10
Difference, d = -15, -10, -5, -10
Xd = Σd/ n = - 40 / 4 = - 10
Standard deviation of d ; Sd = 4.082
The confidence interval for the difference is given as :
Xd ± Tcritical*(Sd/√n)
Tcritical at 95%; df = n - 1 ; 4 - 1 = 3
Tcritical(0.05, 3)). = 3.182
C.I = -10 ± 3.182(4.082/√4)
C.I = -10 ± 6.494462
C. I = (-16.494 ; -3.506)
Parallel Lines:
If the two lines are parallel and cut by a transversal line, what is the value of x?
Answers
Step-by-step explanation:
The corresponding angles theorem tells us that angles that correspond with each other are equal. In this case, B and C are corresponding angles.
(2x+8) = 60
2x = 60 - 8
2x = 52
x = 26
What is the slope of the line that passes through the points (10,8) and (-15,18)?
Write your answer in simplest form.
Answers
Answer:
I believe it is 2/5 fraction
Answer:
-2/5
Step-by-step explanation:
We can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 18-8)/(-15-10)
= 10/-25
= -2/5
Find the length of FV
Answers
Answer:
72.47
Step-by-step explanation:
FV cos 43 = TV
FV (0.73135370161 ) = 53
FV = 72.468 = 72.47
Answer:
A
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos43° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{TV}{FV}[/tex] = [tex]\frac{53}{FV}[/tex] ( multiply both sides by FV )
FV × cos43° = 53 ( divide both sides by cos43° )
FV = [tex]\frac{53}{cos43}[/tex] ≈ 72.47 ( to 2 dec. places )
Find the length of the missing side
Answers
Answer:
Step-by-step explanation:
Side=AC=9[tex]\sqrt{2}[/tex]
Side AB= x
Hypotenuse =CB= y
Side AB = 9[tex]\sqrt{2}[/tex]
Hypotenuse CB = 36
The function f is defined by f(x) = 4x + 1. What is the value of f(3)?
O 13
O 17
O 65
O 82
Answers
Answer:
13
Step-by-step explanation:
f(x) = 4x + 1
Let x= 3
f(3) = 4*3+1
= 12+1
= 13
Geometry work due tonight worth 50 points!!!!
Answers
Answer:
75
Step-by-step explanation:
All of the angles within the triangle must add up to 180 degrees. So, angle 2 =50
The angles 4,2,5 also equal 180 because they are on the blue line. Since angle 2=50 and angle 5= 55 angle 4 must be 75 which is needed to add up to 180.
Answer:
Angle 4 is 75°
b represent angle 2
d represent angle 4
70+60+b=180
130+b=180
b=50
55+50+d=180
105+d=180
d=75
Mr. Thomas invested an amount of ₱13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be ₱3508, what was the amount invested in Scheme B?
Answers
9514 1404 393
Answer:
₱6400
Step-by-step explanation:
Let 'b' represent the amount invested in scheme B. Then 13900-b is the amount invested in scheme A. The total interest for 2 years is then ...
14%(13900-b)(2) +11%(b)(2) = 3508
1946 -0.03b = 1754 . . . . . . divide by 2, simplify
-0.03b = -192 . . . . . . . . . subtract 1946
b = 6400 . . . . . . . . . . . divide by -0.03
The amount invested in scheme B was ₱6400.
