Răspuns:
150 m
Explicație pas cu pas:
Reamintim:
Perimetrul unui dreptunghi, P
P = 2 (lungime + lățime)
P = 400
Lățime = x
Lungime = 3x
Astfel, avem:
400 = 2 (3x + x)
400 = 2 (4x)
400 = 8x
Împărțiți ambele părți la 8
50 = x
Lungime = 3x
Lungime = 3 * 50
Lungime = 150 m
Gunther's starting weight is 248 pounds, and he plans to lose 2 pounds each week. Use a linear equation to determine Gunther's weight after 10 weeks. What linear equation??
NEED HELP ASAP DUE TODAY!!! PLEASE AND THANK YOU :)
Answer:
......
Step-by-step explanation:
With these types of problems, it's best to label the unknowns and figure out an equation for what we want to find. Here, we're interested in weight in pounds, which I'll call W, as a function of the number of weeks that have gone by, which I'll call n. So if we can get an equation that relates W to n, we can answer the question of "how many weeks to reach 175 pounds?" by plugging in W = 175 to our equation and solving to find out what value of n gives us that.
Suppose Alex weighs P pounds at the start of his diet. We don't know what P is yet, but we'll aim to find its value later with the information the question gives us.
After 1 week, Alex will lose 2 pounds and will weigh P - 2 pounds
After 2 weeks, Alex will lose another 2 pounds and weigh (P - 2) - 2 = P - 4 pounds
After 3 weeks, Alex will weigh (P - 4) - 2 = P - 6 pounds
You can see the pattern here: after every week, knock off 2 pounds. So in general after n weeks, Alex will lose 2n pounds from his start weight, and he will weigh P - 2n
That gives the equation W = P - 2n, or equivalently
W = -2n + P
We can recognize this as a linear equation, which takes the form y = mx + b, where:
- x is the independent variable,
- y is the dependent variable (the thing that changes as a function of x),
- m is the slope (how much y changes for every unit change in x), and
- b is the y-intercept (that is, the value of y when x = 0).
In our equation W = -2n + P, the number of weeks n is the independent variable, weight W is the dependent variable (it varies as a function of the number of weeks), -2 is the slope (because Alex weight 2 pounds less for every week that goes by), and P - whose value we don't know yet - is Alex's starting weight (i.e., the value of W when n = 0).
To find the value of P, we can use the information in the question that after 6 weeks, Alex weighs 205 pounds. In other words, when n = 6, W = 205. Plug that into our equation and get:
205 = P - 2*6
We can solve that for P:
205 = P - 12
Add 12 to both sides:
P = 205 + 12 = 227
So Alex weighs 227 pounds when he starts the diet, and we have
W = -2n + 227
This is the linear equation the question is asking for.
To find how many weeks Alex needs to reach his target weight of 175 pounds, set W = 175 in the equation and solve it for n:
175 = -2n + 227
Move the -2n over to the other side:
2n + 175 = 227
Subtract 175 from both sides:
2n = 227 - 175
2n = 52
Divide both sides by 2:
2n/2 = 52/2
n = 26
So if he keeps losing 2 pounds per week, Alex will reach his target weight of 175 pounds after 26 weeks.
Of course in real life weight loss doesn't necessarily work like in this question (usually, the rate of loss slows down closer to the goal and the body adapts to eating less). But for the purposes of this question and with this simple linear model of weight loss, Alex would reach his goal weight in half a year.
Can someone please tell me if this angle is supplementary or complementary
Answer:
Step-by-step explanation:
Since the angles both come off of the straight line, they are supplementary, and they add up to equal 180 degrees.
2x + 4x + 24 = 180 and
6x + 24 = 180 and
6x = 156 so
x = 26
What is the value of X?
Answer:
16
Step-by-step explanation:
AB = BC
32[tex]\sqrt{2}[/tex] = [tex]\sqrt{2 *AB^{2} } \\ => AB = 32 = BC\\x= BC/2 => x = 32/ 2 = 16[/tex]
Help me this is giving my head a brain poop
Answer:
I suck at algebra. your on your own for this one buddy
Answer:
40 minutes
Step-by-step explanation:
I don't think the number of players affect the amount it takes to play the piece. The answer is probably still 40 minutes
Five friends each conducted different studies comparing two variables. Each friend calculated the correlation coefficient, r, for their variables. Which r values suggest strong linear relationships? Select all that apply.
Answer:
The strong linear relationships are:
r = 0.95
r=-0.83
Step-by-step explanation:
When we have points whit apparent linear tents, we can fit the curve to a line and when the correlation coefficient (r) is equal to 1, we have perfect correlation and when r is equal to 0 we do not have a correlation.
Therefore r = 0.95 suggest strong linear relationships.
Now, we can use the same analysis with a negative value of r, so r = -0.83 is strong too.
I hope it helps you!
help ASAP PLEASE look at it help plsease
Problem 3
Anh, Bill and Cathy each think of a positive whole number less than 1000.
• Anh says, My number is bigger than 500 and divides by every integer
from 1 to 10 except for 7.'
• Bill says, "My number divides by every integer from 1 to 10 except
for 9.
• Cathy says, 'You have both done better than me, but I can see that
if we added our three numbers together, the total would divide by
all the numbers from 1 to 10.'
What numbers from 1 to 10 does Cathy's number not divide by?
Answer:
Cathy's number is not divide by 7 and 9
Step-by-step explanation:
Anh’s number is divisible by all numbers from 1 to 10 except 7.
Hence, Anh’s number is 8*9*10 = 720
Bill’s number does not divide by 9, hence his number would be = 3*8*5*7 = 840
The sum of numbers of all three is divisible by all numbers between 1 to10
So the sum number is = 10*9*8*7 = 5040
Number of Cathy = 2520 – 720 -840 = 960
960 is not divisible by 7 and 9
A number is multiplied by 4. That result is added to 12. The final number is 40. What is the original number.
Answer:
3
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
(40-12)/4
28/4
7
pls explain the answer
Answer:
-2x+1
Step-by-step explanation:
Find the 8th term of the arithmetic sequence - 2x + 7,4x + 1, 10x – 5, ...
Answer:
Step-by-step explanation:
a1 = -2x + 7
d = 4x + 1 - (-2x + 7)
d = 4x + 1 + 2x - 7
d = 6x - 6
n = 8
a8 = -2x + 7 + (n-1)*d
a8 = -2x + 7 + (8 -1 ) * (6x - 6)
a8 = -2x + 7 + 7 * (6x - 6)
a8 = -2x + 7 + 42x - 42
a8 = 40x - 35
Help answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
dunno
Step-by-step explanation:
It might be 1,400?
Hope it works!!
Please help me out this is not very easy for me.
Answer:
A
Step-by-step explanation:
I need help quick, please
Answer:
B
Step-by-step explanation:
The shape is maintained exactly, it is rotated, not reflected and we can see it became smaller, so dilate it by a value less than one, but greater than 0. (2/3)
Which pattern or sequence did she use?
Answer:
b
Step-by-step explanation:
Simplify 7(A-6) need help
Answer:
7a - 42
Step-by-step explanation:
1st step is to distribute.
7(a-6)
multiply 7 to "a" and -6
7a - 42
Solve the equation by completing the square. Round to the nearest hundredth if necessary.
x2 + 2x = 8
Answer
2
Step-by-step explanation:
(reorder terms)
2x + 2x = 8
collect like terms
4x=8
divide both sides of the equation
x = 2
The radius of a circle is 12 yards. What is the circle's area?
PLEASE HELP 50 POINTS
Three salesmen work for the same company, selling the same product. And, although they are all paid on a weekly basis, each salesman earns his paycheck differently. Salesman A works strictly on commission. He earns $65 per sale, with a maximum weekly commission of $1,300. Salesman B earns a weekly base salary of $300, plus a commission of $40 per sale. There are no limits on the amount of commission he can earn. Salesman C does not earn any commission. His weekly salary is $900.
Verbally describe what each ordered pair in the first row of your table (when s = 0) means in terms of the situation. Use complete sentences in your answer.
Answer:
12 sales
Let x represent the number of sales each man had.
For Salesman A, he earns $65 per sale; this is 65x.
For Salesman B, he earns $40 per sale; this is 40x. We also add to this his weekly salary of $300; this gives us 40x+300.
Since their pay was equal, set the two expressions equal:
65x = 40x+300
Subtract 40x from each side:
65x-40x = 40x+300-40x
25x = 300
Divide both sides by 25:
25x/25 = 300/25
x = 12
Step-by-step explanation:
plz brainlist
Answer:
The other person is correct
Step-by-step explanation:
A rectangular prism has a length of 5 cm, a width of 2. 25 cm, and a height of 0.5 cm.
What is the surface area of the rectangular prism?
A. 5.625 cm2
B. 7.25 cm2
O C. 14.875 cm
D. 29.75 cm?
D. 29.75 is Right answer...
I hope you understand....
What is the equation
in slope-intercept
form of the line that
passes through the
points (20,-25) and
(-8, -11)?
Answer:
y = -1/2x - 15
Step-by-step explanation:
y2 - y1 / x2 - x1
-11 - (-25) / -8 - 20
14 / -28
= -1/2
y = -1/2x + b
-11 = -1/2(-8) + b
-11 = 4 + b
-15 = b
find the missing side of the triangle
Answer:
12
Step-by-step explanation:
Use pythag to solve.
x^2+5^2=13^2
x=12
If angles A and Bare alternate interior angles, what is the measure of angle B
if angle A measures 105°?
O A. 90°
B. 75°
C. 180°
D. 105
What is the exact circumference of the circle?
101 it
201 ft
401 ft
600 ft
Given:
The diameter of a circle = 20 feet
To find:
The exact circumference of the circle.
Solution:
We know that the radius is half of the diameter of the circle.
The diameter of a circle is 20 feet. So, the radius of the circle is 10 feet.
The circumference of the circle is:
[tex]C=2\pi r[/tex]
Where, r is the radius.
Substituting [tex]\pi = 3.14, r=10[/tex], we get
[tex]C=2(3.14)(10)[/tex]
[tex]C=(6.28)(10)[/tex]
[tex]C=62.8[/tex]
Therefore, the exact circumference of the circle is 62.8 feet.
Note: All options are incorrect.
Find missing measure
Answer:
60°
Step-by-step explanation:
360 - ( 80+115+10) = 60°
Given f(x) = x^2 + 2 and g(x) = 2 – x, find a simplified expression for f(2x) + g(3x).
Answer:
f(2)+g(3) = 5
Step-by-step explanation:
Given that,
f(x) = x² + 2
g(x) = 2-x
We need to find the value of f(2)+g(3).
f(2) = 2² + 2 = 6
g(3) = 2 – 3 = -1
So,
f(2)+g(3) = 6+(-1)
= 5
Hence, the value of the given expression is 5.
The proof that point (1,3) lies on the circle that is centered at the origin and
contains the point (0, 2) is found in the table below. What is the justification
for the 5th statement?
Statement
Justification
A circle is centered at (0, 0) and
contains the point (0, 2).
Given
Definition of radius
The radius of the circle is the distance
from (0, 0) to (0, 2).
The distance from (0, 0) to (0, 2) is
VO-D) +(2-0) - 127-2
Distance formula
Definition of a circle
If (1, 3) lies on the circle it must be
the same distance from the center as
(0, 2).
The distance from (1, 3) is
VO - 1)2 - (0-3)? - v1+3 - 2
Since (1, 3) is 2 units from (0, 0), it
lies on a circle that is centered at the
Definition of a circle
The justification for the 5th statement regarding the circle is the distance formula.
How to depict the formula?It should be noted that the distance between the points will be found based on the information given.
From the information given, the distance from (0, 0 to (0, 2) will be:
= [tex]\sqrt{0 - 0}[/tex]² + [tex]\sqrt{2 -0}[/tex]²
= 4
= 2
In this case, the justification is the distance formula.
Learn more about circle on:
brainly.com/question/12529233
#SPJ1
)If there are 6 builders, it takes 80 days to complete the house. How many builders must be employed to build the house in just 16 days?
Answer:
64 builders must be employed to build a house in 16 days
please answer In(5x-3)=4
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex](5x - 3) = 4 \\ 5x - 3 = 4 \\ 5x = 4 + 3 \\ 5x = 7 \\ x = \frac{7}{5} \\ x = 1.4[/tex]
⎆ The answer will be, x = 7/5 (in fraction form) & x = 1.4 (in standard form).# ꧁❣ RainbowSalt2²2² ࿐
what is 500+222+221 and
Answer:
943
Hope that this helps!
please help I don't know what to do
Answer:
Slope of a line parallel is -5/9.
Slope of a line perpendicular is 9/5.
Step-by-step explanation:
5x + 9y = 1
To find the slope of this line we convert the equation to slope-intercept form ( y = mx + c where m is the slope).
9y = -5x + 1
y = -5/9 x + 1/9
So its slope (m) is -5/9.
So slope of a line parallel to this is also -5/9.
Slope of a line perpendicular = -1 / -5/9
= 9/5.