Answer:
when x = 39.25, y = 2.75
when x = 2.75, x = 39.25
Step-by-step explanation:
use substitution method
x+y = 42 ------ (1)
xy = 108 ------ (2)
from (1) ,
x+y = 42
y = 42-x ------ (3)
substitute (3) into (2)
xy = 108
x( 42-x ) = 108
42x - x² = 108
-x² + 42x - 108 = 0
x² - 42x + 108 = 0
use the following formula to solve the value of x:
[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac } }{2a} \: \\ ii) \: x = \frac{ - b - \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]
a = 1
b = -42
c = 108
[tex]i) \: x = \frac{ - b + \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]x = \frac{ - ( - 42) + \sqrt{( - 42) {}^{2} - 4(1)(108)} }{2(1)} [/tex]
[tex]x = \frac{42 + \sqrt{1764 - 432} }{2} [/tex]
[tex]x = \frac{42 + \sqrt{1332} }{2} [/tex]
[tex]x = \frac{42 + 6 \sqrt{37} }{2} [/tex]
[tex]x = 21 + 3 \sqrt{37} [/tex]
[tex]x = 39.25[/tex]
[tex]ii) \: x \: \frac{ - b - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
[tex]x = \frac{ - ( - 42) - \sqrt{( - 42) {}^{2} - 4(1)(108} }{2(1)} [/tex]
[tex]x = \frac{42 - \sqrt{1764 - 432} }{2} [/tex]
[tex]x = \frac{42 - \sqrt{1332} }{2} [/tex]
[tex]x = \frac{42 - 6 \sqrt{37} }{2} [/tex]
[tex]x = 21 - 3 \sqrt{37} [/tex]
[tex]x = 2.75[/tex]
the 2 values of x are x = 39.25 and x = 2.75
substitute x = 39.25 into (3)
y = 42-x
y = 42-39.25
y = 2.75
substitute x = 2.75 into (3)
y = 42-x
y = 42-2.75
y = 39.25
when x = 39.25, y = 2.75
when x = 2.75, x = 39.25
what is the answer to 36 divided by 48
Answer:
0.75
Step-by-step explanation:
Answer: 36 = dividend
48 = divisor or if ur doing other way 0.75
Step-by-step explanation:
The body mass of a bird?
A) categorical
B)Discrete
C)continuous
Answer:
Categorical
Step-by-step explanation:
On Monday and Tuesday the lake received 18.45 inches of water. If it received 7.85 inches on Monday, how much did it receive on Tuesday?
Answer:
10.60 inches
Step-by-step explanation:
18.45
-7.85
_____
10.60 inches
I NEED HELP ASAP
Enter your answer by filling in the boxes to complete the equations that describe the calculation.
80 ÷ 5 = __ ÷ 5 + __ ÷ 5
= __ + 6
= __
Answer:
80 / 5 = 40 / 5 + 40 / 5 = 10 + 6 = 16
Step-by-step explanation:
80 / 5 = 16
__ / 5 + __ / 5
You can do 80 / 2 to fill in those two blanks because the answer needs to equal the same as 80 / 5
80 / 2 = 40
40 / 5 + 40 / 5
8 + 8 = 16
the third blank needs to also equal 16. So you can do 16 - 6 to know what fills in the blank.
16-6
10
10+6 = 16
The last blank must equal the same as all the other equations so 16 would fill it.
If you need further help, don't be afraid to reach out with any questions. I hope this helps!
Answer:
80/5= 50/5 + 30/5= 10 + 6= 16
Solve for X, please help me.
Answer:
9+12=21
21+2=33
23+3=26
Step-by-step explanation:
the answer is 7
Simplify (4x – 6) + (5x + 1).
Answer:
4x-6+5x+1
9x-5
Step-by-step explanation:
Answer:
9x-5
Step-by-step explanation:
like terms are added together, in this case, x
11.sınıf temel düzey matematik geometri :(
Step-by-step explanation:
öklid kurali var uygularsak:
(3 kök 5 ) ^(2)=X.(X+4)45= X(X+4) buradan X = 5 Cevap B seçeneği BAŞARILAR...identify the center
j(h − 9) 3+ 2; use h = 9, and j = 8 -2-
A random sample of 100 felony trials showed a sample mean waiting time between arrest and trial = 173 days with a population standard deviation of waiting times = 28 days. Find a 99% confidence interval for the population mean waiting time. Stats question, I'm really struggling here. Please help me!
Answer: 165.78 < μ < 180.22
Step-by-step explanation: Confidence Interval of a mean is a method to estimate the true population mean, i.e., we can get an interval where the true mean exists.
A confidence interval is calculated as
x ± [tex]z\frac{\sigma}{\sqrt{n} }[/tex]
z is z-score for 99% confidence, which is: z = 2.58
Then, the estimate is
173 ± [tex]2.58\frac{28}{\sqrt{100} }[/tex]
173 ± 2.58*2.8
173 ± 7.224
lower limit: 173 - 7.224 = 165.78
upper limit: 173 + 7.224 = 180.22
The 99% confidence interval of the mean is between 165.78 and 180.22 and it means that the true mean of this population is between those numbers with 99% of confidence.
So if a video that is 15:34 how long is it when 2 times speed
tip: times 15 min. buy 60 then divdie all of the sec. by 2
Answer:
7:47
Step-by-step explanation:
Here are two ways of solving this:
The video will be half the time of 15:34, so you need to divide the time 15:34 by 2.
Method 1)
Use the tip. The video is 15 minutes and 34 seconds long.
Convert minutes to seconds: 15 * 60 = 900
Add 34 seconds to the 15 minutes: 900 seconds + 34 seconds = 934 seconds
The video is 934 seconds long.
Divide the total seconds by 2: 934/2 = 467
467 seconds = 420 seconds + 47 seconds = 7 minutes and 47 seconds
Answer: 7:47
Method 2)
Divide the minutes by 2 and divide the seconds by 2.
15 minutes and 34 seconds.
Divide minutes by 2: 15/2 = 7.5
Divide seconds by 2: 34/2 = 17
Now we need to add 7.5 minutes and 34 seconds.
0.5 minutes is half a minute, so it's 30 seconds.
7.5 minutes + 17 seconds =
= 7 minutes + 0.5 minute + 17 seconds
= 7 minutes + 30 seconds + 17 seconds
= 7 minutes + 47 seconds
= 7:47
Answer: 7:47
Solve the equation for y
- 5x + 2y = 1
Answer:
14x+37=4x
Step-by-step explanation:
The total cost C for p pounds of ham if each pound cost $3.55
Write a function rule using C and p as variables.
Answer:
If each pound costs $5.46, then
p
pounds can be multiplied to 5.46 to find the costs of different amounts of lithium.
Total cost: C
5.46
p
=
C
Step-by-step explanation:
PLZZ HURRY!!!
Triangle JKL is transformed to create triangle J'K'L'. The angles in both triangles are shown.
AngleJ = 90° AngleJ' = 90°
AngleK = 65° AngleK' = 65°
AngleL = 25° AngleL' = 25°
Which statement is true about this transformation?
It is a rigid transformation because the pre-image and image have the same corresponding angle measures.
It is not a rigid transformation because the corresponding side lengths are not equal.
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
It can be a rigid or a nonrigid transformation because a pair of corresponding angles measures 90°.
Answer:
It’s the third option
Step-by-step explanation:
They preserved the angles
Answer:
It can be a rigid or a nonrigid transformation depending on whether the corresponding side lengths have the same measures.
Step-by-step explanation:
edge 2020
Ashley spent half her weekly allowance playing mini-golf. To earn more money her parents let her wash the car for $9. What is her weekly allowance if she ended with $15?
Show your work
please hurry up!!!
please help!!!! very confused
Answer:
I think it is B
Step-by-step explanation:
Hope this helped have an amazing day!
Simplify 5 - 2 · 3 + 4.
Answer:
3
Step-by-step explanation:
5-2x3+4
Which boat was farther from the dock at the beginning and which traveled more quickly
Answer:
Nvm
Step-by-step explanation:
Johns boat was 30 miles away. It traveled 20 miles in 5 hours (50-30 = 20)
20/5 = 4
It traveled at 4 miles per hour.
The equation for Roberta’s boat multiplied 5 by x( number of hours) so this means her boat is traveling at 5 miles per hour.
Then 25 gets added at the end, this means her boat was 25 miles away at the beginning.
Johns boat was further away at the beginning and Robertas boat is traveling faster.
BRAINLIEST
Which two expressions are equivalent for any value of y?
Group of answer choices
A. 3(3y + 3) and 6y + 6
B. 3(3y + 3) and 9y + 6
C. 9(y + 3) and 12 + 9y
D. 9(y + 3) and 27 + 9y
Find the sum of (8a + 2b - 4)
Answer:
There is really no answer to this because this is the furtherest you can go to simplify this expression. I can help solve it if you give me more information, or you tell me what the value of a and b is so I can solve it.
Thanks!
Yyhhjfffghjjgdrttyhhhftthvfrtgvfffgf
Answer: So the star equals 4 and the triangle equals 1
Step-by-step explanation:
Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-2 ,1) ; M= 5
Answer:
y-1=5(x+2)
Step-by-step explanation:
Point-slope form is y-y₁=m(x-x₁)
1 is y₁ so we would fill the first half as "y-1"
We know that m=5, so we can just put it in where m goes.
So far, we are at y-1=5
-2 is x₁ but since it's a negative, and we are also using subtraction, we must cancel it and turn it into a positive. So, we would write (x+2)
The final equation is y-1=5(x+2)
The midpoint of EF is M(1. – 1). One endpoint is E (– 3,2). Find the coordinates of endpoint F
Step-by-step explanation:
fihdjshshsjsbshdhddjdhdndjdbdhdb jseheidbdhdhdbehdndndnsjdnsjdndndjsjdndhdh sorry
The coordinates of F(x,y) is (5,-4) with midpoint of EF is M(1,-1)
What is midpoint of line segment?
The midpoint divides the line segment into two equal parts. As the number line progresses, the leftmost numbers become smaller, and the rightmost numbers become larger. Adding, subtracting, and multiplying can also be done using a number line like for addition move towards right and for subtraction move towards left.
Here, the mid point of line EF is M with coordinates (1,-1) with coordinates of E(-3,2) therefore, using mid point formula to find coordinates of F(x,y)
[tex]\begin{aligned}\frac{-3+x}{2}&=1\\x&=2+3\\&=5\end{aligned}[/tex]
and for y coordinates of F :
[tex]\begin{aligned}\frac{2+y}{2}&=-1\\y&=-2-2\\&=-4\end{aligned}[/tex]
Therefore, the coordinates of F(x,y) is (5,-4) with midpoint of EF is M(1,-1)
Read more about midpoint at:
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8 t-shirts and a hat costs £42.00
3 t-shirts and a hat costs £17.00.
How much does a t-shirt cost?
How much does a hat cost
Answer:
a T-shirt costs £5
a hat costs £2
Step-by-step explanation:
Suppose
A T-shirt=x
A Hat=y
So the equation is
8x+y=42
3x+y=17
So
8x+y=42
3x+y=17
------------
5x=25
x=5
So a T-shirt costs £5
3.5+y=17
15+y=17
y=2
So a hat costs £2
Answer:
t-shirt: £5
hat: £2
Step-by-step explanation:
Please see the attached picture for the full solution.
Whats 9+10
Im willing to give 25 Points. And dont say 19 CAUSE IT AINT THE ANSWER. LOL
Answer:
21
Step-by-step explanation:
first question is Bitcoin is a virtual currency used to buy things online. An investment of $5125 in bitcoins grew 48 times. What is the total value of the investment?
And the second question is The cost of each projector in an office is $9841. Find the cost of 210 such projectors.
$
tell me the answer A S A P plz
[tex]\huge\mathbb\purple{AnSwEr}[/tex]
[tex]\huge❤\bold\red{Hello}❤[/tex]
Hey mate 1. $246,000 2. $20,66,610 is your Answer
[tex]My \: pleasure \: to \: help \: you \: anytime.[/tex]
[tex]Mark \: me \: as \: brainliest .[/tex]
[tex] \huge \mathscr \pink \star\underline {Follow \: me } \red \star[/tex]
double checking to see if i'm right!
i believe that it's 108 but i'm not too sure!! can anyone tell me?? :))
Answer:
Yep! That looks right!
Step-by-step explanation:
A rectangular monitor’s size is measured diagonally from 1 corner to the opposite corner. What is the size of a rectangular monitor that is 30 centimeters wide by 24 centimeters high, to the nearest centimeter?
Answer:
38cm
Step-by-step explanation:
Using the Pythagorean Theorem, it is found that the size of the monitor is of 38 centimetres.
------------------------
In a right triangle with legs [tex]l_1[/tex] and [tex]l_2[/tex] and hypotenuse h, these measures are related by the Pythagorean Theorem, given by:
[tex]h^2 = l_1^2 + l_2^2[/tex]
In this problem:
The diagonal of the rectangle, which is the size of the monitor, is the hypotenuse.The width of [tex]w = 30[/tex] and the length of [tex]l = 24[/tex] are the legs, thus:[tex]s^2 = l^2 + w^2[/tex]
[tex]s^2 = 24^2 + 30^2[/tex]
[tex]s = \sqrt{24^2 + 30^2}[/tex]
[tex]s = 38[/tex]
The size of the monitor is of 38 centimetres.
A similar problem is given at https://brainly.com/question/21691542
find x and y multiple choice
Answer:
x=30
y=4
Step-by-step explanation:
Since there is an equilateral triangle, those angles =60°, and all sides to that triangle are equal.
You can determine y by looking at the congruent lines on the second triangle. In this triangle, we see that two sides, one of which is a side to the equilateral triangle, are equal to 20. Because one of these sides is a side to the equilateral, we know that all sides of the equilateral triangle are equal to 20, so using simple algebra you can determine that y=4.
To solve for x is a little more difficult. In the equilateral triangle, we know that all angles =60°, therefore we can solve for two angles to use to solve for x. We can solve for the obtuse angle by subtracting 60 from 180=120. then we can solve for the next angle that is next to the equilateral triangle because these two make a right angle so 90-60=30. Now you add the angles you just solved for, subtract that sum from 180, and you get x.
120+30=150
180-150=30
x=30
A scale measures weight to the nearest 0.5 pound. Which measurement
shows an appropriate level of precision for the scale?
A. 140 pounds
B. 140.5 pounds
C. 140.75 pounds
O D. 141 pounds
Answer:
i think B... don't take my word though im not 100% cause it seems way too obvious on what the answer is lol
The measurement shows an appropriate level of precision for the scale is 140.5 pounds.
What is a place value?Place value, which is related to a digit's location in a number, is the amount that each digit is worth.
The scale measures weight to the nearest 0.5 pounds. This means that the scale can accurately measure weights that end in 0.5 or 0, and it rounds other weights to the nearest 0.5.
Among the given options, the weight that shows an appropriate level of precision for the scale is option B, 140.5 pounds.
This weight can be accurately measured by the scale and is reported to the nearest 0.5 pounds.
Option A, 140 pounds, may be rounded up or down depending on the actual weight and may not be an accurate measurement.
Option C, 140.75 pounds, is too precise for the scale to measure accurately to the nearest 0.5 pounds.
Option D, 141 pounds, is rounded up from 140.5 pounds and may not be an accurate measurement for the scale.
Therefore, 140.5 pounds.
To learn more about the place value;
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