Answers
again, we're assuming that both triangles are similar, and thus using proportions.
[tex]\stackrel{\textit{assuming the triangles are similar}}{\cfrac{x+1}{27}=\cfrac{5}{x-5}\implies x^2+x-5x-5=135}\implies x^2-4x-5=135 \\\\\\ x^2-4x-140=0\implies (x-14)(x+10)=0\implies x = \begin{cases} 14~\textit{\large \checkmark}\\ -10 \end{cases}[/tex]
we do not use the -10, because whatever value "x" may be, can't be negative or even 0.
Related Questions
The population of a city grew from 23,000 in 2010 to 25,000 in 2015.
a. What was the average rate of change during this time interval?
Type the answer in the box below.
Answers
The average rate of change during this time interval is 400 population per year
The average rate of change during this time interval is expressed as:
Rate of change = change in population/change in timeChange in population = 25000 - 23000
Change in population = 2000Change in time = 2015 - 2010
Change in time = 5 yearsSubstitute into the formula;
Rate of change = 2000/5
Rate of change = 400
Hence the average rate of change during this time interval is 400 population per year
Learn more on Rate of change here: https://brainly.com/question/8728504
What is the slope of this line?
Enter your answer as a whole number or a fraction in simplest form in the box.
Answers
Answer:
y = 2
Step-by-step explanation:
there is no slope but the line is at 2 so 2 is the y-intercept so y = 2.
) The price of broccoli is $1.25 per pound. Let y be the total cost in dollars of buying a pounds
of broccoli
.) Which equation represents this situation?
y = 1.252
• Which graph represents the situation?
Broccoli Prices
Broccoli Prices
Broccoli Prices
(4,5)
.
(3.4.5)
15
15
(5.
(3.3.75
(2,3)
(3.75,3)
(2.2.5)
3
5 25
8 2
(2.5.2
1.5 (1.1.25)
(1.1.5)
(0.5, 0.75)
(1.25.1)
0.5
0.5
0 05 1 1.5 2 25 3 3.5 4 US 5
Amount of Broccoli (b)
0 0.5 1 1.5 2 2.5 3 3.5 4 155
Amount of Broccoli (b)
0 05 1 15 2 2.5 3 3.5 5 5
Amount of Broccoli (b)
DONE
Answers
Answer:
The graph that represents the situation is A
Step-by-step explanation:
The next number in the sequence shown below is 156.
1, 15, 155,
Answers
The next number of the sequence 1, 15, 155, ...... will be 1555.
What are sequence and series?A sequence is a list of elements that have been ordered in a sequential manner, such that members come either before or after.
A sequence in arithmetic is an enumerated collection of items in which duplicates are permitted and order is important. It has members, just like a set. The distance of the order is defined as the number of items.
The sequence is given below.
1, 15, 155, ......
The next number of the sequence will be given by adding the digit 5 in the one's place. Then the sequence is given as,
1, 15, 155, 1,555, 15,555, 155,555,......
Then the number will be 1555.
More about the sequence link is given below.
https://brainly.com/question/21961097
#SPJ2
tell me, what is 24 x 0.25?
Answers
Answer:
it is 6.
Step-by-step explanation:
167.1111111 round it to the nearest houndred
Answers
[tex]\sqrt{\frac{-140}{\sqrt{28} }[/tex]
Answers
This is the answer
Complete the table for the equation Y=2x+3
Answers
Hope it helps.
Don't forget to click the Brainliest button and if you have any query, feel free to ask in the comment section.
Sumas y restas de polinomios
Answers
NO LINKS OR FILES THINGS LIKE THAT!!!!!!
DUE TODAY!!!!!!
Write format:
(Quarters,Dimes)
No spaces
Example:
5 quarters, and 2 dimes should be written as (5,2)
Answers
Answer:
(4,8)
Step-by-step explanation:
One of the marked points on the black line is (4,8).
__
You will notice that the only combination worth $3.00 is (12,0).
Can someone pls help really quick
Given the following data points, determine the Mean, Median, Range, and Mode. Then split the data up into Quartiles and Quintiles.
65 57 72 76
98 65 55 69 67
80 64 5 37 8
92 31 54 51 36
Mean:
Median:
Mode:
Range:
The cost of producing a vanity license plate is c = $1000 +$8p where p is the number of plates you produce. Complete the table below:
Number of Plates Total Cost Cost per Plate
15
75
150
What is the minimum number of plates you need to produce in order to make a profit assuming you sell the plates for $20? What about if you sell the plates for $15?
Answers
Answer:
Step-by-step explanation:
Mean: 56.95
Median: 64
Mode: 65
Range: 93
15 plates = $1000 + 8(15) = $1120
75 plates = $1000 + 8(75) = $1600
150 plates = $1000 + 8(150) = $2200
please help ill mark brainliest
Answers
Answer:
x=3
Step-by-step explanation:
6(x+5)=4(x+9)
6x+30=4x+36
2x+30=36
2x=6
x=3
Today is my birthday. My age today, in months, is 72 times my age 5 years ago,
in years. My age today, in years, is
Answers
Answer:
Happy Birthday!
Step-by-step explanation:
6(y+7)=2(y-3)
this is a multi step equations, please help
Answers
Answer:
= - 1/2
Step-by-step explanation:
6y+6.7=2.(y-3)
6y+42=2.(y-3)
6y+42=2y+2.-3
6y+42=2y-6
4y=-48
4y/4 = -48/4
y=-48/4
y=-12.4/1.4
y= -12
Answer:
y = -12
Step-by-step explanation:
Generally, the first step is to eliminate parentheses.
6y +42 = 2y -6
Now, you have a 3-step equation. I generally start by subtracting the variable term with the lowest coefficient. That leaves a variable term with a positive coefficient.
4y +42 = -6 . . . . . . subtract 2y from both sides (step 1)
Now, you want to eliminate the constant from the side of the equation that has the variable term. Add its opposite.
4y = -48 . . . . . . . . . add -42 to both sides (step 2)
Finally, you divide by the coefficient of the variable.
y = -12 . . . . . . . . . . divide both sides by 4 (step 3)
The solution is y = -12.
_____
Additional comment
As you can see, the general approach is to obtain the variable on one side of the equation and a constant on the other side. You do this by performing the same math operation to both sides of the equation.
Here, we notice that the values outside parentheses are multiples of each other, so we can start by dividing by 2
3(y +7) = y -3 . . . . . . divide both sides by 2
3y +21 = y -3 . . . . . . . eliminate parentheses
Now, we can do steps 1 and 2 at the same time, by adding -21-y to both sides. This gets rid of unwanted variables and constants in one step. (Your teacher may want you to show separate steps.)
(3y +21) +(-21 -y) = (y -3) +(-21 -y)
2y = -24 . . . . . . . . . simplify
y = -12 . . . . . . . . . . . divide by the coefficient of the variable (step 3)
A Car’s rectangular gas tank has dimensions 30 cm by 25 cm by 42 cm.
(a) Calculate the capacity in liters, of the tank.
(b) If gasoline cost $154 per liter, what is the cost of filling the tank?
Answers
Answer:
$4851
Step-by-step explanation:
rectangular prism volume = length x width x height
1 litre = 1000 cm³
cost = $per litre x litres
v = l x w x h
30cm x 25cm x 42cm = 31500cm³
litres = cm³ / 1000
31500cm³ / 1000 = 31.5 litres
31.5 x $154 = $4851
2d +9= 19
The solution is d =
Answers
[tex]{\huge{\boxed{\mathbb{QUESTION}}}[/tex]
2d +9= 19
The solution is d =
[tex]{\huge{\boxed{\mathbb{ANSWER\:WITH\:EXPLANATION}}}[/tex]
Hello there, first we can place our equation, which you have stated
[tex]2d+9=19[/tex], this algebra, in algebra we want to find the exact value of the variable, or have the variable on one side of the equation.
First we can subtract [tex]9[/tex] with both sides of the equation giving us the result of [tex]2d=10[/tex], this can also be represented as [tex]2\cdot d=10[/tex], now just divide both sides of the equation by [tex]2[/tex], our answer is [tex]d=5[/tex].
_____________________
[tex]{\huge{\boxed{\mathbb{ANSWER}}}[/tex]
[tex]{\boxed{d=5}}[/tex]_____________________
Have a good day :) !Plzzzz help I REALLY NEED HELP
Write a division problem with 1/3 as the dividend 3 as divisor. The find the quotient.
Answers
Answer:
1/9
Step-by-step explanation:
HELPPP I need help Bc yeaa…
Answers
Answer:
hehehehe hey lois im in brainly
Step-by-step explanation:
this is so fricking epic
How would I write 5.882 times 10 to the -7 power in standard from. Be sure to add the commas
Answers
Answer:
Step-by-eeeeeeeeestep explanation:
Answer:
0.0000005882
Step-by-step explanation:
So... 10 to the -7th power is 1 /10000000 or 0.00000001. When you multiply 5.882 by that, you get 0.0000005882 or if you round it, 0.00000089.
Hope this helps!
-5, 20, -80, 320, ... is a geometric
sequence.
What is the explicit rule
Answers
Answer:
Multiplied by -4
Step-by-step explanation:
-5 (-4) = 20
20 (-4) = -80
-80 (-4) = 320
What is the range if this function ?
Answers
Answer:
-4 to 0 (both -4 and 0 are included in the range because of the dots)
What is the difference between a credit score and a credit rating?
a.
A credit score and a credit rating are the same thing.
b.
A credit score is a measure of how much debt you have, and a credit rating is a measure of your creditworthiness.
c.
A credit score is a number indicating your creditworthiness, and a credit rating is a measurement of how your credit score compares to others.
d.
A credit score is a measurement of your creditworthiness from one major credit bureau, and a credit rating is a measurement of your creditworthiness from all three major credit bureaus.
Answers
A credit score is a number indicating your creditworthiness, and a credit rating is a measurement of how your credit score compares to others.
What is a credit score and a credit rating?
A credit score is a number indicating your creditworthiness. A credit score usually lies between 300 and 850. A credit score is used to estimate how likely it is that you would pay your credit.
A credit rating is a measure of in letters that expresses the credit worthiness of an individual.
Answer:
c
Step-by-step explanation:
Rewrite in simplest terms: (4x + 4) - (-4x - 9)
Answer:
Submit Answer
Answers
Answer:
8x+13
Step-by-step explanation:
do you need this part?
A bakery has 18 large trays of bagels and 20 small trays of bagels. Each large tray holds 30 bagels and each small tray holds 15 bagels.
Which equation could be used to find n, the total number of bagels the bakery has?
18 + 30 × 20 + 15 = n
18 × 30 + 20 × 15 = n
18 + 30 + 20 + 15 = n
18×30−20×15=n
Choose wisley
Answers
A-B equals, if A =5x^2-4x-11 and B=-x^2+3x-5
Answers
Answer:
A-B = 6x^2-7x-6
Step-by-step explanation:
A = 5x^2-4x-11
B = x^2+3x-5
A-B = (5x^2-4x-11) - (-x^2+3x-5) = 5x^2-4x-11+x^2-3x+5 = 6x^2-7x-6
log(3+√5) + log(3 - √5) = ?
Answers
Given that
log (3+√5) + log (3-√5)
We know that
log ab = log a + log b
⇛log [(3+√5)(3-√5)]
This is in the form of (a+b)(a-b)
Where a = 3 and b = √5
We know that
(a+b)(a-b) = a²-b²
⇛log [(3)²-(√5)²]
⇛log(9-5)
⇛log 4
Answer :- log (3+√5) + log (3-√5) = log 4
also read similar questions: log(5) + log(3) rewrite the following in the form log(c)....
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witch of the following expression is equivalent to the logarithmic expression below. log(3)5/x^2 A)log(3) 5+2 log(3)x B)log(3) 5-2 log(3)x C)2 log(3) 5 -log(3)x...
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72.18 into like fraction
Answers
Write 72.18 as=
[tex]Write 72.18 as = \frac {72.18}{1} [/tex]
Multiply both numerator and denominator by 10 for every number after the decimal point[tex] \frac{78.18 \times 100}{1 \times 100} = \frac{7218}{100} [/tex]
Reducing the fraction gives[tex] \frac{3609}{50} [/tex]
Pre college need helpp
Answers
Answer:
check online for more information
How could I write this out?
Answers
Answer:
1.6 divided by 8 is 0.2
Step-by-step explanation:
Find the slope of the line that passes through the given points. (4, - 3) and (9. - 7) Select the correct choice below and, if necessary, fill in the answer box within your choice. OA. The slope is (Type an integer or a simplified fraction.) O B. The slope is undefined.
Answers
Answer:
-4/5
Step-by-step explanation:
Answer: A. -4/5
Step-by-step explanation:
Slope Formula: y2 - y1 / x2 - x1
-7 - (-3) = -4
9 - 4 = 5
slope = -4/5
Correct me if I am incorrect.