Answer:
x=4, y=-4/3. (4, -4/3).
Step-by-step explanation:
8x+9y=20
x=-3y
---------------
8(-3y)+9y=20
-24y+9y=20
-15y=20
y=20/-15
simplify
y=-4/3
x=-3(-4/3)=12/3=4
Answer:
Y=4/-3 X=4
Step-by-step explanation:
We must use substitution. If x is -3y, then we can either substitute all the x’s or y’s. I’ll substitute y.
8x+9y=20
8x+-3x=20
5x=20
x=4
x=-3y, so -3y=4. Y=4/-3
The length, in millimeters of each side of a square shaped electronic chip is a rational number. What statement is true about the length of the diagonal of the chip
Answer:
The diagonal is irrational because it is a product of a rational and an irrational number
Step-by-step explanation:
The options are not given. However, the question is still answerable.
Given
Shape: Square
Length: Rational
Since the side length is said to be rational, I'll answer the question based on whether the diagonal is rational or not.
Having said that:
The diagonal (d) of a square with side length (l) is calculated using Pythagoras theorem.
[tex]d^2 = l^2 + l^2[/tex]
[tex]d^2 = 2l^2[/tex]
Take positive square root of both sides
[tex]d = \sqrt{2l^2}[/tex]
Split:
[tex]d = \sqrt{2} * \sqrt{l^2}[/tex]
[tex]d = \sqrt{2} *l[/tex]
Recall that the side length (l) is rational.
However, [tex]\sqrt 2[/tex] is irrational.
So, the product of l and [tex]\sqrt 2[/tex] will be irrational
Hence:
The diagonal is irrational
HELPPPPPPPPPPPPPPPPPPPPPPPPPP
A given set of data is said to have a greater spread if it covers a large scale/area. Since the data set 3 only covers a small portion of a wide spectrum it is said to have a smaller spread when in comparison with data set 4 which has a greater spread as it covers a larger scale/spectrum.
▪︎Therefore, Data set 4 has a greater spread.
○=> Solution (8) :Lower quartile of a data set is said to be the median of the lower half of the data set.
Lower quartile of this data set :
[tex] = \tt \frac{50 + 60}{2} [/tex]
[tex] =\tt \frac{110}{2} [/tex]
[tex]\color{plum} =\tt 55[/tex]
Thus, the lower quartile of this data set = 55
Median is said to be the middle element of a data set.
The median of this data set = 80
Upper quartile of a data set is said to be the median of the upper half of a given data set.
Upper quartile of this data set :
[tex] =\tt \frac{110 + 100}{2} [/tex]
[tex] =\tt \frac{210}{2} [/tex]
[tex]\color{plum} = \tt105[/tex]
Thus, the upper quartile of this data set = 105
Therefore :▪︎Lower quartile of this data set = 55
▪︎Upper quartile of this data set = 105
▪︎Median of this data set = 80
Express in the form 1:n
3:12
Answer:
1:4
Step-by-step explanation:
Given
3: 12
To express in the form 1:n
Consider how to make 3 equal to 1, we simply divide 3 by 3 to get 1 as such, we would also divide 12 by 3
3:12
= 3/3:12/3
= 1:4
Comparing with 1:n, it is safe to say that n = 4
how do i find this? HELP!
Answer:
x= 11.66667
Step-by-step explanation:
ok the six is repeating but, basically multiply 5 times 7, then divide that by 3
4, 16, 64, 256, 1024, ... what is the exponential function
Answer:
y=x^4
Step-by-step explanation:
the equation is multiplying by 4 for every x value
I WILL NAME YOU BRAINLIEST AND GIVE YOU ALL MY POINTS IF YOU SOLVE THIS!!!!! In the diagram, each shape has a value and the sums of the shapes in each of the first three rows is given. Find the sum of the shapes in the fourth row.
Answer:
27
Step-by-step explanation:
ez
Answer:
26
Step-by-step explanation:
Square=5
Circle=7
Triangle=4
Do the math to check for yourselves.
The sales tax rate on a new vehicle is 6%. If the vehicle is $13,000, then how much will be charged for sales tax
Answer:
$780
Step-by-step explanation:
$13000×0.06=$780 in sales tax
Use the Pythagoream theorm Show your work
Answer:
c=13
Step-by-step explanation:
The equation to solve the Pythagorean Theorm looks like this-
a²+b²=c²
So, lets use it to find the hypotenuse-
5²+12²=c²
(5*5)+(12*12)=(c*c)
25+144=c²
(25+144=169)
Now we have to find the square root of 169 (just put [tex]\sqrt{169[/tex] into the calculator)
c=13
Why do we use 'average' in our daily life?
Answer:
The term average is used frequently in everyday life to express an amount that is typical for a group of people or things. ... Averages are useful because they: summarise a large amount of data into a single value; and. indicate that there is some variability around this single value within the original data.
Step-by-step explanation:
PLS HELP ME IM BEGGIN YOU THIS IS DUE IN 5 MIN
Answer:
3/10
Step-by-step explanation:
Let's assume;
30 ml of Orange Juice + 45 ml of Apple Juice + 25 ml of Coconut milk = 1 glass of Cocktail
30 ml : 45 ml : 25 ml = 1
30 + 45 + 25 = 100 ml = 1 glass of Cocktail
Orange juice proportion = Amount of Orange Juice in ml ÷ 1 glass of Cocktail in ml
Orange Juice proportion = 30 ml ÷ 100 ml
= 3/10
Answer:
In a fruit cocktail, for every 30 ml of orange juice you need 45 ml of apple juice and 25 ml of coconut milk.
Step-by-step explanation: Hope this is right I think there is 3/10 of Orange juice
Total Contents: 25 +30+45+100
Proportion of apple juice:
30/100
3/10
−n + (−3) + 3n + 5
im really confused by this question just solve it like you normally would
Answer:
2n+2
Step-by-step explanation:
if you dissolve 10 grams of sugar in 30 grams of water you will make ___ grams from ___% sugar syrup. PLZZZ HELP! :P
You will make 40 grams of 25% sugar syrup.
P.s. ur welcome
what is the y intercept of 13,-6
Answer:
More info needed
Step-by-step explanation:
If 13,-6 represents (13,-6), this is a point. The y coordinate is -6, but there would be no y intercept since a single point won't cross the y axis.
What is the sum of x^
2 – 3x + 7 and 3x² + 5x – 9?
1) 4x² – 8x + 2
2) 4x² + 2x + 16
3) 4x2 – 2x – 2
4) 4x² + 2x - 2
Answer:
4. [tex]4x^{2} +2x-2[/tex]
Step-by-step explanation:
To add these two equations together, you have to combine like terms.
1. [tex]x^{2} +3x^{2} = 4x^{2}[/tex]
2. [tex](-3x)+5x = 2x[/tex]
3. 7 - 9 = -2
Then you just combine all of these terms together into one equation and you have your answer.
Hope this helped!
Find the value of b in the equation
a
4
b
5/4
c
1/4
d
-4
What is the equation of the line
Answer:
y=1/2x+2
Step-by-step explanation:
Answer:
1/2 x + 2
Step-by-step explanation:
In the space below, draw a triangle with
angles 60° and 60°, and an included side
length of 2 inches.
Answer:
First draw a line of 2 inch
use protector and draw 60° angle
And next side also same
please help me y=3×+7
Could you be a bit more specific on what you are asking for help with? y=3xt7 is the final answer for a y=mx+b question. 3 is the slope and 7 is the y-intercept.
26 km
35 km
square kilometers
61
Step-by-step explanation:
good luck with the answer
Which figure is shown
Answer:
pyramid
Step-by-step explanation:
plz make me brainliest
Four friends share 3 bags of trail mix equally.
What fraction of a bag of trail mix does each friend get?
Answer:3/4
Step-by-step explanation:
3 is the amount of bags that need to be divided and four is the number of friends sharing them
Answer:
3 and remainder 1 (I'm sorry I dont know if your doing remainders
suppose you select a number at random from the sample space. Find the probability. P(the number is positive)
Answer:
Here's the picture + somewhat process? (hard to explain, please lmk if it's wrong and i'll fix it!!)
Which inequality is the solution to 20+2<.
2<5-8?
ASAP PLEASE
Answer:
C. x > 90Step-by-step explanation:
20 + 2 < x/3 - 822 + 8 < x /330 < x /330*3 < x90 < xx > 90Correct choice is C
Please help and hurry!
5. x2 – 10x + 21 = 0
A hot air balloon descends 38.5 meters in 22 seconds. If the balloon continues to descend at this rate, how long will it take to descend 125 meters?
A. 25.25 seconds
B. 86.5 seconds
C. 71.43 seconds
D. 218.75 seconds
Answer:
C. 71.43 seconds
Step-by-step explanation:
Given data
Distance= 38.5m
time= 22 seconds
speed= 38.5/22
speed= 1.75 m/s
given that distance = 125meters
t= 125/1.75
t= 71.4 seconds
How much longer is an average day in May compared to October?
branily is here for you
Answer:
there isnt a difference between may and october or atleast i dont think so
Step-by-step explanation:
Answer: There is no difference there are 31 days in May and October.
Step-by-step explanation:
Here is a sketch of a curve.
The equation of the curve is y = x2 + ax + b
where a and b are integers.
ol
The points (0, -7) and (7,0) lie on the curve.
Find the coordinates of the turning point of the curve.
Finish your answer by writing, Turning point at (... , ... )
+
Total marks: 4
Answer:
turning point: (-3 , -16)
Step-by-step explanation:
y = x² + ax + b pass(0,-7)(7,0)
(0)² + 0*a + b = -7 b= -7
(7)² + 7*a - 7 = 0 7a = 42 a = 6
y = x² + ax + b = y = x² + 6x - 7 = (x+3)² - 16
(h,k): vertex equation: y = a(x-h)² + k
h = -3 k=-16
can someone help me
Step-by-step explanation:
we need to use pythagoras's theorem (reversed) in this situation. We know the hypotenuse and the lower line, so we can find the upright one. That will be the value of AD.
so we use 81 (9 squared) and 144 (12 squared)
let x be the upright line's length
144-81=x squared
63=x squared
find the square root of 63 and you can have your answer
Im not gonna do that for you because that's pretty easy
One of the roots of equation x^(2)-(3p-4)x+11p-5=0 is 8. Find the other root. Find the value of p.
Answer:
Other root is 9 and p = 7.
Step-by-step explanation:
x^(2) - (3p-4)x + 11p-5 = 0 , x = 8.
Let the other root be A, then using the formula for the product and sum of the roots of a quadratic equation:
8* A = 11p - 5
8 + A = -(-(3p - 4))
8 + A = -(-3p + 4)
8 + A = 3p - 4
A = 3p - 12.
Multiply this last equation by 8:
8A = 24p - 96
Now subtract the first equation from this:
8A - 8A = 24p - 11p - 96- (-5)
0 = 13p - 91
13p - 91 = 0
p = 91/13 = 7
and A = 3(7) - 12
= 9.
Answer:
Other root 9, p is 7
Step-by-step explanation: