Given:
Perimeter of a triangle = 17 inches
First side is twice the second.
Third side is 3 inches less than the second side.
To find:
The measure of the longest side.
Solution:
Let the second side be x. Then,
First side = 2x
Third side = x-3
We know that, perimeter of a triangle is the sum of all three sides of it.
[tex](2x)+x+(x-3)=17[/tex]
[tex]4x-3=17[/tex]
[tex]4x=17+3[/tex]
[tex]4x=20[/tex]
Divide both sides by 4.
[tex]x=5[/tex]
Now,
First side = [tex]2(5)=10[/tex] inches
Second side = 5 inches
Third side = [tex]5-3=2[/tex] inches
Therefore, the measure of the longest side is 10 inches.
Please help me with this -.-
Answer:
m=4
Step-by-step explanation:
ABCD is 2.5x larger than QRST so you just divide the 10 by 2.5
Answer:
4
Step-by-step explanation:
Because the two trapezoids are similar, we need to find out what multiplied by 15 gets us to 6.
We would multiply it by 2/5, so 10 multiplied by 2/5 is 4.
help me pls..............
Answer:
y=-1,0,1,2,3
Step-by-step explanation:
y=1x+1
y=1(-2)+1
y=-1
y=1(-1)+1
y=0
y=1(0)+1
y=1
y=1(1)+1
y=2
y=1(2)+1
y=3
Determine whether each relationship below can be modeled by a linear function. (Yes or No)
The total number of tires, T, on c cars.
The cost, C, in dollars, of p pounds of tangerines.
The temperature, F, after m minutes of a pie taken out of the oven.
The value, V, in dollars, of a bank account earning compound interest after t years.
Answer: yes yes no no
Step-by-step explanation:
Solve 3v−8v+7v=24. I need help on this question in math
Answer:
v=12
Step-by-step explanation:
3v-8v+7v=24
3v-v=24
2v=24
v=12
Consider u = (5,-2) and v= (10,-4). What is the relationship between u and v?
Answer:
a
Step-by-step explanation:
e d g e 2 1
The relationship between the both component would be v = 2u. So, the option A. The vectors point in the same direction is correct.
How to find the vector component?If we have given a vector v of initial point A and terminal point B
v = ai + bj
then the components form as;
AB = xi + yj
Here, xi and yj are the components of the vector.
Consider u = (5,-2) and v= (10,-4).
Now, multiply each component by 2
2u = 2 (5, - 2 )
= (10, - 4) = v ,
then
v = 2u
Hence, the relationship between the both component would be v = 2u.
So, the option A. The vectors point in the same direction is correct.
The complete question is
"Consider u = ⟨5, –2⟩ and v = ⟨10, –4⟩. What is the relationship between u and v?.
A. The vectors point in the same direction.
B. The vectors form an acute angle.
C. The vectors form an obtuse angle.
D. The vectors point in opposite directions."
Learn more about vectors;
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The enrollment at Sunshine College has been increasing by 45 students per year .Currently Sunshine College has 1100 students attending. Marigold College currently has 2000 students, but its enrollment is decreasing in size by an average of 15 students per year. If the two colleges continue their enrollment trends over the next few years, how many years will it take the schools to have the same enrollment?
HINT: Write the 2 equations and then set them equal to each other.
Answer:
15 years
Step-by-step explanation:
1100 + 45y
2000 - 15y
plug 15 into y and the equations answer should be the same
20 people show up to the party, and Robert decides to give them each the same
amount of pizza. How much pizza does each person get?
Answer:
depends on how much pizza he has.
Step-by-step explanation:
.
There are seven houses, each containing seven cats. Each cat kills seven mice, each mouse would have eaten seven ears of corn. Each ear of corn would have produced seven sacks of grain. What is the total number of all of these items?
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The total number of all these items is 19,607.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
There are seven houses, each containing seven cats.
Number of house = 7Number of cars = 7 x 7 =49Each cat kills seven mice.
Number of mice = 49 x 7 = 343Each mouse would have eaten seven ears of corn.
Number of Ears of corns = 343 x 7 = 2401Each ear of corn would have produced seven sacks of grain.
Number of sack of grains = 2,401 x 7 = 16,807Now, the total number of all these items is,
Total number of items
= Number of house + Number of cars + Number of mice + Number of ears of corns + Number of sack of grains
= 7 + 49 + 343 + 2401 + 16807
= 19,607
Hence, the total number of all these items is 19,607.
Learn more about Multiplication here:
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Peter bought 8 lemons for $6 .each lemon was the same price .what was the cost for 1 lemon
Answer:
0.75 or 75 cents!
Hope this helps!
75 cent is the Answer
Solve for x given BD = 2x + 3 and AE = 6x + 4 . Assume B is the midpoint of overline AC and D is the midpoint of overline CE.
Answer: 1
From the second sentence, we have AB = BC = CD = DE = y. So AE = 4y and BD = 2y (you can see by drawing a diagram), and AE = 2BD. Substituting 2x + 3 for BD and 6x + 4 for AE in AE = 2BD, we have 6x + 4 = 2(2x + 3), 6x + 4 = 4x + 6. Solving, we see x = 1.
i hope this helped! :D
Water flows on the Amazon river near the cachoeira de Santuario waterfalls at a velocity 75 meters per second. If a low height run of the river turbine is installed that captures 10 cubic meters, what power will it generate
Answer:
7.5 MW
Step-by-step explanation:
The power generated from a falling water is a function of its height and volume. The power generated an be calculated using the formula:
Power (P) = Density(ρ) * volume flow rate(Q) * acceleration due to gravity(g) * height(h)
P = ρQgh
But Qh = Velocity(v) * volume(V).
Hence power = ρvgV
Given that ρ of water = 1000 kg/m³, v = 75 m/s, V = 10 m³, g = 10 m/s². Substituting:
P = ρvgV = 1000 * 75 * 10 * 10 = 7500000 W
P = 7.5 MW
I need help !!!!!!!!! And fast pls I’ll give 10 points
Answer:
x > -[tex]\frac{12}{5}[/tex] or x > -2.4
Step-by-step explanation:
-9x > 9 + 3(-[tex]\frac{1}{3}[/tex]x + 1) - 3x
-9x > 9 -x + 3 - 3x
-9x > 12 - 4x
-5x > 12
x > -[tex]\frac{12}{5}[/tex] or x > -2.4
There are 3/2 cups of trail mix in a bag. A serving of trail mix is cup. How many servings of trail mix are in
the bag?
Answer:
1 cup .75 pints
Step-by-step explanation:
If a board measures LaTeX: 4\frac{3}{8}4 3 8 centimeters long and it is cut into lengths of LaTeX: 1\frac{2}{3}1 2 3 how many pieces will you have?
Answer:
ok
Step-by-step explanation:
Answer:
5 3/4
Step-by-step explanation:
i not good at explaining
evaluate the expression x=6 7x
Answer:
42
Step-by-step explanation:
because if x=6 then you multiply 7 x 6 which is 42
Hope this helped
Bri <3
If you’re running in a race and you pass the person in second place, what place are you in? I'm running out of things to say!!
Answer: 2nd place
Step-by-step explanation: you were in 3rd place and you passed the person in 2nd now making your placement 2nd and the other persons 3rd
Answer:
You are in secound place.
Step-by-step explanation:
Although you may think its first, in a race when you pass someone you switch places with them, not get 1 ahead of their place! (The upcoming and this sentence is pre-written and copy and pasted in every brainly question or comment I write or answer.) If this answer helped you please consider giving it brainliest. If my answer was wrong and you got marked wrong for it, I deeply apologize and hope you will forgive me, since everyone makes mistakes sometimes. If you need me to elaborate on my answer or give further explanation on it, please ask and I will do so. If you need to explain your reasoning on your work feel free to use my words- word for word- without crediting me, the answer was made for you anyways! Hope yall learn from my answer and it helps you in the future with assignments, quizzes, test’s, and more!
- •Trix•
( Yes I know my - •Trix• thingy is not my user but it’s what I would change it to if I could but I can't, please address me as Trix while commenting or talking to me here.)
9. Question
For the given inequality, mark each value given as yes or no to show whether that value
makes the inequality true or not.
Inequality: 20
Combine Like Terms 4x + 3 - 3x + 15*
Answer:
x+18
Step-by-step explanation:
Combine Like Terms:
=4x+3+−3x+15
=(4x+−3x)+(3+15)
=x+18
If line c is parallel to line d, what is the measure of
angle 1?
b
136°
(x + 21)
d
2x
136
O 146
44
24
Answer:
It’s 42° and so is angle D
Step-by-step explanation:
What is 6z−2y−8z+5y−4+z written in simplest form?
Answer:
First answer 3y-z-4
Step-by-step explanation:
Answer:
D. 3y-z-4
Step-by-step explanation:
What is the answer to -11 1/8 - 12 1/4 - (-21 1/2)
Answer:
491 /8
Step-by-step explanation:
How might we know whether X is a positive number negative number or 0 without solving the equation 5x=6x
What is the definition of decimal??
What is the definition of perimeter??
What is the definition of Estimating??
What is the definition of Decimal Number??
Answer:
definition of decimal is : relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and power of ten.
(Definition of perimeter: The continuous line forming the boundary of a closed geometric figure.)
definition of estimating : Roughly calculate or judge the value, number, quantity, or extent of .
Answer:
decimal:relating to or denoting a system of numbers and arithmetic based on the number ten, tenth parts, and powers of ten.
perimeter:the continuous line forming the boundary of a closed geometric figure.
estimating:roughly calculate or judge the value, number, quantity, or extent of.
decimal number:decimal numeral system is the standard system for denoting integer and non-integer numbers. It is the extension to non-integer numbers of the Hindu–Arabic numeral system. The way of denoting numbers in the decimal system is often referred to as decimal notation
Step-by-step explanation:
What is the length of the altitude of the equilateral triangle below
Answer:
F
Step-by-step explanation:
Using Pythahorean theorem
It is equal to
12.
Pls help lol hereeeee help imdbykgj
Answer:
1/5=0 more
.02=0 more
3/8= 1/2 less
2/3= 1/2 more
4/5= 1 less
0.9= 1 less
4/3= 1 more
Step-by-step explanation:
I my last questions got reported so...here are 100points
what is
[tex]107 \times 58[/tex]
Answer:
what bait don't know that
Answer:
6,206
Step-by-step explanation:
it's multiplication, if anything you could just use a calculator.
<3 Enjoy,
Dea
A bear walks one mile south, then one mile east, then one mile north, and ends up right Back where it started. What Color is the Bear?? someone PLEASE HELP ME WITH THIS MATH WORD PROMBLEM. This may look easy but it seems hard to me... PLEASE SOMEOME HELP ME ASAP PLZ!!!!
Answer:
uhh... I think it’s uh carrot
Step-by-step explanation:
The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $4, sales will reach 8000 Fun Noodles per day during the summer. Raising the price to $5 will cause the sales to fall to 6000 Fun Noodles per day.
Assume that the relationship between sales price, x, and number of Fun Noodles sold, y, is linear. Write an equation in slope-intercept form describing this relationship. Use ordered pairs of the form (sales price, number sold).
type your answer in slope intercept
b. predict the daily sales of Fun Noodles if the price is $4.50
Answer: PART A:
The generic equation of the line is:
y-yo = m (x-xo)
First we look for the slope of the line:
m = (y2-y1) / (x2-x1)
m = ((5000) - (6000)) / (4-3)
m = -1000
Then, we substitute any point in the generic equation:
(xo, yo) = (4, 5000)
Substituting:
y-5000 = (- 1000) (x-4)
Rewriting:
y = -1000x + 4000 + 5000
y = -1000x + 9000
The equation is:
y = -1000x + 9000
PART B:
For the price of 3.50 we have:
y = -1000 * (3.5) +9000
y = 5500
Step-by-step explanation:
Sarah paid $1,932 in tax on her new car which had a purchase price of $80,500 .
Which other car tax price varies directly with hers?
A) Purchase Price = $68,000 & Tax = $1,020
B) Purchase Price = $92,000 & Tax = $2,760
C) Purchase Price = $75,000 & Tax = $1,350
D) Purchase Price = $85,000 & Tax = $2,040
Answer:
so when looking at the tax minus the cost
100%/x%=80500/1932
(100/x)*x=(80500/1932)*x
100=41.666666666667*x
100/41.666666666667 or 6 infinite will get us
2.4=x
x=2.4
so times 2.4% with every cost to see it it matches the tax given!
A is incorrect
it equals 1632
B is not correct as it equals 2208
C is incorrect as it equals 1800 dollars in tax
D is CORRECT as it has the same number in Tax
2040
what does 5+5 equals?
5+5 =10
Step-by-step explanation:
Extended form: 5+5
1+1+1+1+1=5
so,
1+1+1+1+1+1+1+1+1+1=10
Answer:
Step-by-step explanation:
5 + 5 =10.
