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
Jake has two dogs, Euclid and Pythagoras. Euclid is a smaller dog and Pythagoras is larger. Jake found that
Pythagoras lost 13 pounds from January to June. If Pythagoras gains 1.2 times Euclid's weight, Pythagoras's
weight would still be á pound less than he did in January. What is Euclid's weight?
4
(a) Write an equation that represents the scenario. Begin by defining your variable.
(b) Solve the equation. Show your work.
(c) What is Euclid's weight?
(d) Jake adopts a third dog, Riemann. Riemann weighs exactly twice what Euclid weighs. The combined
weight of the three dogs is 603 pounds. What is Riemann's weight, and what is Pythagoras's
2
weight? Show your work.
Answers
We want to answer different things about the weight of the dogs, with simple algebra we will find that the answers are:
a) P - 13lb + 1.2*E = P - 1lbb) E = 10lbc) Euclid's weight is 10 pounds.d) Pythagora's weight is 33 pounds and Riemann's weight is 20 pounds.We start by defining the two variables we will be using:
E = Euclid's weightP = Pythagoras's weightFirst, Pythagoras loses 13 lb, then his new weight is:
P' = P - 13lb
We know that if he wins 1.2 Euclid's weight, he will still have a pound less than before.
A) using the above information we can rewrite:
P - 13lb + 1.2*E = P - 1lb
This is the equation we need to solve.
b) So we want to solve this for E, then we move all the other terms to the right side:
1.2E = P - 1lb - P + 13lb
1.2E = 12lb
E = (12lb)/1.2 = 10lb
c) The solution of the above equation tells us that the weight of the dog is 10lb.
d) Let's define R as the weight of the third dog.
We know that:
R = 2*E = 2*10lb = 20lb
We also know that the combined weight of the 3 dogs is 63 lb, then we have:
E + R + P = 63lb
10lb + 20lb + P = 63lb
P = 63lb - 10lb -20lb = 33lb
If you want to learn more about algebra, you can read:
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A= 1/2bh
solve for b
Answers
Ok done. Thank to me :>
Answer:
A = bh ( multiply both sides by 2 to clear the fraction )
2A = bh ( divide both sides by h )
b=2A/H
Step-by-step explanation:
Evaluate (4x + 4)(7x - 3).
Answers
Answer:
28x^2+16x-12
Step-by-step explanation:
(4x+4)(7x-3)
28x^2+28x-12x-12
28x^2+16x-12
A nationwide survey claimed that at least 65% of parents with young children condone spanking their child as a regular form of punishment. In a random sample of 100 parents with young children, how many would need to say that they condone spanking as a form of punishment in order to refute the claim at α = 0.5?
Answers
Answer:
here p=0.65 and n=100 hence standard error =(p*(1-.
Step-by-step explanation:
A=1/2h(b1+b2) is the formula for the area of a trapezoid. Rewrite the formula for h, and then find the height of the trapezoid that has an area of 78 square inches and base lengths of 5 inches and 8 inches.
Answers
Answer:
Let's neaten up that equation a bit:
trapezoid area = height * (sum of the bases) / 2
height = 2 * area / (short base + long base)
height = 2 * 78 / (5 + 8)
height = 156 / 13
height = 12 inches
Source: https://www.1728.org/quadtrap.htm
Step-by-step explanation:
The formula for the height is h = (b1+b2)/2A and the height of the trapezoid is 12 inches
What is area of a trapezoid?A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.
The area of a trapezoid is expressed as;
A = 1/2( a +b) h
where a and b are the parallel sides and h is the height.
Making h the subject
(a+b)h = 2A
h = 2A/( a+b)
h = 2A( b1 + b2)
A = 78 in²
a = 5 in
b = 8 in
h = 2 × 78/( 8+5)
h = 156/13
h = 12 in
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Need answer please help if you can.
Answers
Answer:
hello what the answer is B 3 because i knowdis that the answer is correct how i know is because i done it a piece of paper and my answer that i got was B
Step-by-step explanation:
BRAINIEST IF CORRECT
The triangle below is equilateral. Find the length of side x in simplest radical
form with a rational denominator.
V12
Answers
Answer:
The side of an equilateral triangle equals:
2 * height / sqr root (3)
side = 2 * sqr root (12) / sqr root (3)
side = 2 * 2 * sqr root (3) / sqr root (3)
side x = 4
Step-by-step explanation:
Find the derivative of y=a^x
Answers
If y = aˣ, then y = exp(ln(aˣ)) = exp(x ln(a)). (Here I use exp(x) = eˣ.)
Then using the chain rule, the derivative of y is
dy/dx = exp(x ln(a)) • ln(a)
and undoing the rewriting, we end up with
dy/dx = ln(a) aˣ
2a+b+c=9 a+2b+c=8 a+b+2c=11
Answers
[tex] \: \: \: \: \: \: [/tex]
# 2a+b+c=9answer
[tex]a = \frac{9}{2} - \frac{1}{2} b - \frac{1}{2} c[/tex]
#a+2b+c=8answer
[tex]a = 8 - 2b - c[/tex]
#a+b+2c=11answer
[tex]a = 11 - b - 2c[/tex]
refer to the attachment for explanationhope it helpsCombine the like terms to create an equivalent expression -2x-x+8
Answers
Answer:
x+6
x+6
x+6 is the right ans
Suppose X ~ N(6.5, 1.5), and a
3.5. Find and interpret the Z-score of the standardized normal random variable.
Answers
Answer:
Step-by-step explanation:
Estimate 196.999 ÷ 1.582?
Answers
Answer:
124.5252844501
Step-by-step explanation:
to estimate we have 125
Last summer, Scott's family rented an RV. The rental fee allowed them to use the RV for 7 days. Scott's parents paid an additional $45 for the Cozy Camp upgrade, which included a grill to use for the duration of their trip. Scott's family paid $829 in all. What was the rental cost of each day they used the RV?
Answers
Based on the equation computed, it should be noted that the rental cost for each day will be $112 per day.
Total amount paid = $829Number of days used = 7 daysFrom the information that was given in the question, the equation to solve the question will be:
= (829 - 45) / 7
= 784 / 7
= $112 per day.
The correct option is $112 per day.
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find the solution to the following system using substitution. y = - 4 + 9 y = 3x - 5
Answers
Answer:
1/2, 11/6
Step-by-step explanation:
y=-4+9y
9y-y=4
8y=4
y=1/2
3x-5=1/2
3x=5+1/2=11/2
x=11/6
I’m having a lot of trouble with this question
Answers
Answer:
Function C has the greatest initial value
Function B has the greatest rate of change
Step-by-step explanation:
C is greatest for initial value because the line intercepts at 2 and i think B intercepts at -1 then as u can see A intercepts at 0 or origin
B is the greatest rate of change or slope because it goes up by 3 and then A goes up by 5/2 and C goes up by 1/3
rise over run
Hope i helped
three movie tickets cost 36$ at this same rate how much do 12 tickets cost
Answers
Answer:
$144
Step-by-step explanation:
Each ticket is $12.
Which of the following describes exponential decay?
A. The amount at a given time can be calculated by multiplying the previous amount
by a value greater than 1.
B. The amount at a given time can be calculated by multiplying the previous amount by a value less than 1.
C. The amount at a given time can be calculated by adding an amount to the previous amount.
D. The amount at a given time can be calculated by subtracting an amount from the previous amount.
Answers
The amount at a given time can be calculated by multiplying the previous amount by a value less than 1, which represents exponential decay. Hence, option B is the right choice.
What does linear function mean?A quantity grows (or depreciates) linearly if it increases (or decreases) by the same amount per unit of time.
What does exponential function mean?A quantity grows (or depreciates) exponentially if the increase (or decrease) in the amount is a multiple of the previous amount.
How to solve the question?In the question, we are asked to identify the option that best describes an exponential decay.
We assess each option and try to identify the exponential decay among them.
A. The amount at a given time can be calculated by multiplying the previous amount by a value greater than 1: This is an exponential function as it is multiplied by the previous amount, but it shows exponential growth as the quantity multiplied is greater than 1.B. The amount at a given time can be calculated by multiplying the previous amount by a value less than 1: This is an exponential function as it is multiplied by the previous amount, and it shows exponential decay as the quantity multiplied is less than 1.C. The amount at a given time can be calculated by adding an amount to the previous amount: This is a linear function as a fixed quantity is added.D. The amount at a given time can be calculated by subtracting an amount from the previous amount: This is a linear function as a fixed quantity is subtracted.Therefore, the amount at a given time can be calculated by multiplying the previous amount by a value less than 1, which represents exponential decay. Hence, option B is the right choice.
Learn more about exponential functions at
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Miss Johnson has in her classroom closet 32 boxes with 245 counters. She wo
to redistribute them and share them equally in 25 bags for a class activity.
a) How many counters will she put in each bag?
b) Will she have any counters left? If yes, how many?
Answers
Answer:
she will put 9 counters in each bag
she will have 20 counters left over
Answer:
a. 9 each
b. yes she will have 20 left
Step-by-step explanation
245/25=9.8 but if equally it will be 9 with a remainder of 20
that solves everything
Answer each part. If necessary, round your answers to the nearest hundredth. (a) A color printer prints 9 pages in 3 minutes. How many pages does it print per minute? | pages per minute (b) At Hoffman's Bike Rentals, it costs $37 to rent a bike for 7 hours. How many hours of bike use does a customer get per dollar? hours per dollar
Answers
Answer:
Q1: 3 pages per minute
Step-by-step explanation:
time = 3 minutes
pages = 9 pages
answer = 9 divided by 3 = 3
Answer:
3 pages per minute
1 hour per $5.29
Step-by-step explanation:
9÷3= 3
37÷7= 5.29
4. If Il k and k // m, then
Answers
if
t // kk // mthen t // m is correct answerbcaz according to property of transitivity
An example of a transitive law is “If a is equal to b and b is equal to c, then a is equal to c.” There are transitive laws for some relations but not for others. A transitive relation is one that holds between a and c if it also holds between a and b and between b and c for any substitution of objects for a, b, and c.
2x2 is what its due in 1 minute
Answers
Answer: 4
Step-by-step explanation: You multiplied 2 and 2 which equals to 4
Answer:
9
Step-by-step explanation:
9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9
Can someone help me please!? Can you show the work as well! :)
Answers
A rectangular field is four times as long as it is wide if the perimeter of the field is 420 yards what are the fields dimensions
Answers
Answer:
168yards by 42yards
Step-by-step explanation:
Perimeter =2(l+b)
Perimeter =420yards
length=4×breadth
l=4b
P=2(l+b)
P=2(4b+b)
P=2(5b)
P=10b
420=10b
b=420/10
b=42yards
l=4b=4×42yards
l=168yards
hence the dimensions are 168yards by 42yards
6. Give examples of methods to safeguard inventory.
Answers
Answer:
1. Security Technology. ...
2. Security Personnel. ...
3. Inventory Audits. ...
4. Just-in-Time Inventory.
Step-by-step explanation:
Reviewing a few examples of safeguarding inventory can shed light on common inventory security methodologies, helping you to implement the ideal inventory safeguards for your business.
Security Technology. ...
Security Personnel. ...
Inventory Audits. ...
Just-in-Time Inventory.
3 ft
Find the area of this figure.
Round your answer to the
nearest hundredth. Use
3.14 to approximate i.
4 ft.
5 ft
5 ft
A = [? ] ft?
-
Notice that only half of the circle is included in the figure!
Enter
Answers
Answer:14
Step-by-step explanation:
y<-2/3 x-1 graphing the inequality
Answers
Answer:
y < − 2/3x − 1
Step-by-step explanation:
You buy a serving spoon for $4.05 and a bread knife for $3.99. What is the total cost of your purchase?
A. $8.94
B. $7.04
C. $7.94
D. $8.04
Correct answer on gradpoint is D: $8.04
Answers
Answer: d. $8.04
Step-by-step explanation:
$4.05 + $3.99 = $8.04
Answer:
d. 8.04
Step-by-step explanation:
4.05+3.99=8.04
Write the expression in standard form,
(9+2i)(5-3i)
Answers
[tex](9+2i)(5-3i)\\\\=45-27i+10i-6i^2\\\\=45-17i+6~~~~~;[i^2 =-1]\\\\=51-17i[/tex]
[tex] \: \: \: \: \: \: [/tex]
[tex] = \: \: \: \: 51 - 17i[/tex]
refer to the attachment for explanationhope it helpsPLEASE HELP ME WITH THIS ASAP !!
Answers
Answer:
132cm^2
Step-by-step explanation:
SA of square based pyramid:
SA = 2bs + b^2
b = base
s = slant height
-> 2(6)(8) + 6^2
-> 96 + 36
= 132cm^2
Answer:
132
Step-by-step explanation:
[tex]tsa = {a}^{2} + 2al[/tex]
[tex]tsa = {6}^{2} + 2(6)(8)[/tex]
[tex]tsa = 36 + 96[/tex]
[tex] = 132[/tex]
Please help me asap!
Answers
Answer:
Step-by-step explanation: I think it is c