Answer:
The answer is (4,4)
Step-by-step explanation:
I had this same problem and got it right so can you give me 5 stars:)
The solution of the system of equations –3x + y = –8 and x + 2y = 12 will be (4,4).
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation. An equation is said to be linear if the maximum power of the variable is consistently unity.
A formula known as an equation uses the same sign to denote the equality of two expressions.
In another word, the equation must be constrained with some constraints.
Given,
–3x + y = –8 and x + 2y = 12
Multiplying by 2 to equation first
-6x + 2y = -16 and x + 2y = 12
Substracted equation second to first
7x = 28
x = 4
By substituting
y = 4
Hence "The solution of the system of equations –3x + y = –8 and x + 2y = 12 will be (4,4)".
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The original price for a football is $60. What is the discount rate if the new price for the football is $39
Answer:
.65
Step-by-step explanation:
searched it up
Answer:
35% off
Step-by-step explanation:
60 - 35% = 39 I used a calculator btw
What is the LCM of 54 and 32 pls help
Answer:
the LCM is 864
Step-by-step explanation:
The least common multiple (LCM) of two or more non-zero whole numbers is the smallest whole number that is divisible by each of those numbers. In other words, the LCM is the smallest number that all of the numbers divide into evenly.
Transform each of the following into a quadratic equantion in the form ax +bx + c = 0
x(x+5)=2
Answer:
x² + 5x - 2 = 0
Step-by-step explanation:
The standard form of a quadratic equation is ax² + bx + c = 0 (a ≠ 0 )
Given
x(x + 5) = 2 ← distribute left side
x² + 5x = 2 ( subtract 2 from both sides )
x² + 5x - 2 = 0 ← in standard form
Select all true statements
A. Angle CBE is congruent to angle ABE.
B. Angle CEB is congruent to angle DEA.
C. Segment DA is congruent to segment CB.
D. Segment DC is congruent to segment AB.
E. Line DC is parallel to line AB.
F. Line DA is parallel to line CB.
Answer:
B,C,E are right statements
The correct statements about the given quadrilateral are:
(B) ∠CEB ≅ ∠DEA (Vertically opposite angles)(C) DA ≅ CB (Given)(D) DC || AB (Given)What are quadrilaterals?A quadrilateral is a four-sided polygon with four edges and four corners that is used in geometry. The Latin words Quadri, a variation of four, and latus, meaning "side," are the source of the name. A parallelogram with four equal sides is referred to as a rhombus. A rectangle with four equal sides is a square. A trapezoid is a quadrilateral having a single set of parallel opposite sides. A quadrilateral having two sets of neighboring sides that are equal is called a kite.So, according to the given quadrilateral, we can conclude that the correct statements are:
∠CEB ≅ ∠DEA (Vertically opposite angles)DA ≅ CB (Given)DC || AB (Given)Therefore, the correct statements about the given quadrilateral are:
(B) ∠CEB ≅ ∠DEA (Vertically opposite angles)(C) DA ≅ CB (Given)(D) DC || AB (Given)Know more about quadrilaterals here:
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An article published in the Washington Post claims that 45 percent of all Americans have brown eyes. A random sample of =80 college students students found 30 who had brown eyes.
Answer:
a. -1.35
b. 0.177016
Step-by-step explanation:
According to the question, following data is given
Brown eyes american percentage is 45
Random sample be 80 out of which 30 had brown eyes
Based on the above information
The computation is shown below:
a. The proportion of the sample is
[tex]\bar p = \frac{30}{80}\\\\= 0.375[/tex]
The z value is
[tex]z = \frac{\bar p - p }{\sqrt{\frac{p(1 - p)}{n} } } \\\\\frac{0.375-0.45 }{\sqrt{\frac{0.45(1 - 0.45)}{80} } }[/tex]
= -1.35
b Now the P value is
As z comes -1.35
So, there is a two tailed p value i.e. 0.177016
A collection of 76 dimes and quarters is worth $13.90. How many of each coin are there?
find the slope of 4x + 3y = 2
Answer:
Slope is 4/3
Step-by-step explanation:
We need to turn this into slope intercept form to find the slope,
slope intercept form is y=mx+b, we just need to "rearrange" the problem using reverse operations and get our slope
4x+3y=2
4x-4x+3y=2-4x subtract 4x from both sides ⇒ 3y=4x-2
we need to get rid of the 3, so divide both sides by 3
[tex]\frac{3y}{3} =\frac{4x-2}{3}[/tex] and we get
y=4/3x-2/3
Our slope is 4/3
feel free to ask any questions or comments
Consider the following sequence of numbers.
3,-9,27,-81,...
I need common ratio & sum of 1st five terms
Answer:
Please check the explanation
Step-by-step explanation:
Given the sequence
[tex]3,-9,27,-81,...[/tex]
A geometric sequence has a constant ratio and is defined by
[tex]a_n=a_0\cdot r^{n-1}[/tex]
Computing the ratios of all the adjacent terms
[tex]r=\frac{a_n+1}{a_n}[/tex]
[tex]\frac{-9}{3}=-3,\:\quad \frac{27}{-9}=-3,\:\quad \frac{-81}{27}=-3[/tex]
The ratio of all the adjacent terms is the same and equal to
[tex]r=-3[/tex]
Therefore, the common ratio is:
r = -3Determining the sum of 1st five terms
As the first element is
[tex]a_1=3[/tex]
[tex]r=-3[/tex]
Geometric sequence sum formula is given by
[tex]a_1\frac{1-r^n}{1-r}[/tex]
Plugin the values
[tex]n=5,\:\spacea_1=3,\:\spacer=-3[/tex]
[tex]a_1\frac{1-r^n}{1-r}=3\cdot \:\frac{1-\left(-3\right)^5}{1-\left(-3\right)}[/tex]
[tex]=3\cdot \frac{1-\left(-3\right)^5}{1+3}[/tex]
[tex]=\frac{\left(1-\left(-3\right)^5\right)\cdot \:3}{1+3}[/tex]
[tex]=\frac{732}{1+3}[/tex] ∵
[tex]=\frac{732}{4}[/tex]
[tex]=183[/tex]
Therefore, the sum of the first five terms of the sequence is: 183
maraina made 36 cupcakes in 45 mins how long would it take to make 108 cupcakes
Answer:
135 mins/2hr 15min
Step-by-step explanation:
108 divided by 3=36 so 45 multiplied by 3 which equals 135 please pick brainliest.
CAN SOMEONE GIVE ME THE ANSWER
Answer: 5*4=20 6*4=24 7*4=28 8*4=32
Step-by-step explanation:
Hope this helps. :)
Answer:
The linear function is a direct variation and the variation is multiply x by 4 to get Y. (x × 4 = y)
Step-by-step explanation:
5 × 4 = 20
6 × 4 = 24
7 × 4 = 28
8 × 4 = 32
un objeto cae accidentalmente de un vehículo que lleva una rapidez de 50 kilómetros por hora y recorre 20 m antes de detenerse
Un objeto cae accidentalmente de un vehículo con una velocidad de
50 km / hy recorra 20 m antes de detenerse.
Calcular:
a) La aceleración:
b) El tiempo que tarda en detenerse:
Responder:
1.439 s
-9,645 m / s²
Explicación paso a paso:
Dado que:
Velocidad en m / s = (50 * 1000) / 3600 = 13.899 m / s
Distancia (d) = 20
Tiempo = distancia / velocidad
Tiempo = 20 / 13.889
Tiempo = 1.439 s
Aceleración (a):
Cambio de velocidad / tiempo empleado
= (0 - 13,889) / 1,439
- 13.889 / 1.439
= -9,645 m / s²
which coordinate plane contains the points (2, 2.5) and ( -4, -4)
Answer:
D.
Step-by-step explanation:
That is the only answer provided.
In a certain board game a 12 sided number cube showing numbers 1-12 is rolled. If 3 such number cubes are rolled, what is the probability that at least 1 show as a 2?
Answer:
0.2297453
Step-by-step explanation:
Given that :
Total faces of = 12 labeled 1 - 12
Probability of showing a 2 ;
P = required outcome / Total possible outcomes
P(showing a 2) = 1 /12
Hence, probability of not showing a 2 ;
P(showing a 2)' = 1 - 1/2 = 11/12
Probability that atleast one of 3 cubes shows a 2 :
1 - P(none of the cubes shows a 2)
P(none of the cubes shows a 2) =
(11/12 * 11/12 * 11/12) = 0.7702546
1 - 0.7702546 = 0.2297453
This question is based on the probability. Therefore, the probability that at least 1 show as a 2 is 0.22974 if 3 such number cubes are rolled.
Given:
In a certain board game a 12 sided number cube showing numbers 1-12 is rolled.
We need to determined the probability that at least 1 show as a 2, if 3 such number cubes are rolled.
It is given that total faces of = 12 labeled 1 - 12
Now calculating probability of showing a two ;
[tex]Probability = \dfrac{ Required\, outcome }{Total\, possible \,outcomes}[/tex]
[tex]Probability\, of\, showing\,a \,two=\dfrac{1}{12}[/tex]
Hence, probability of not showing a 2 is,
[tex]Probability\, of\, not\,showing\,a \,two=1-\dfrac{1}{12}[/tex]
Now, calculating probability that at least one of 3 cubes shows as a 2 =
1 - P(none of the cubes shows a 2)
[tex]P(none\, of\, the\, cubes\, shows\, a \,2) = \dfrac{11}{12} \times \dfrac{11}{12} \times \dfrac{11}{12} \\\\P(none\, of\, the\, cubes\, shows\, a \,2)=\dfrac{1331}{1728} = 0.770[/tex]
Probability that at least one of 3 cubes shows as a 2 = 1 - 0.770 = 0.22974
Therefore, the probability that at least 1 show as a 2 is 0.22974 if 3 such number cubes are rolled.
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What is the base 5 representation of the number 219?
The easiest way to do this is to start with the power of 5 that is just under 219.
125 would be the closest power of 5
Now subtract 125 from 219 = 94
=====================
The highest power of 5 closest to 94 is 25. You have to multiply 25 * 3 to get a number close enough to 94 that leaves a remainder under 25
94 - 75 = 19
=======================
19 - 3 * 5 = 4 Same argument as above.
219_10 = 1334_5
In triangle, HIJ, HI = 48, and IJ = 27. What is the range of values for the length third side?
Answer:
The range is between 21 and 75
Step-by-step explanation:
"The Triangle Inequality Theorem states that the sum of any 2 sides of a triangle must be greater than the measure of the third side."
Any two sides of of a triangle added together cannot be equivalent to or less than the length of the third side. Knowing this, we can figure out the range. If you add 48 and 27, you get 75. We know 75 is the top of the range, the length of the third side cannot be 75 or greater. Going the other way, if you assume that the third side is one of the smaller ones, you can identify 48 as the largest value. If you subtract 27 from 48 you get 21, so the length of the third side cannot be 21 or lower.
This gives us the range. Just keep this rule in mind. Hope this helped!
Answer:
21 < HJ < 75
Step-by-step explanation:
can someone help me with this please and explain what a term is
Answer:
3y
Step-by-step explanation:
A term is a mathematical expression, in this case a number multiplied by a variable.
Like terms would mean anything that is equal to 3x.
Because 3 is a constant number, any like terms have to have the number 3 in it, so we can eliminate 5x, -2x, 7y, and x because they don't have a 3.
y is a variable which is a stand-in for an unknown number, and it can be switched out with any one variable. That means the only possible answer is 3y
Mrs. Brown gave her daughter, Shane, $250 to open a savings account. Each month, Mrs. Brown gives Shane $50 to deposit into her savings account. Which equation can be used to find m, the number of months after opening her account when Shane will have $800 in her savings account?
Answer:
Equation ; 800 = 50m + 250Number of months = 11 monthsStep-by-step explanation:
This is a linear relationship which means that it follows the equation;
y = mx + c
y will be the total after some months so will be $800
m will be the number of months
x is the amount the account increases by every month which is $50 here
c is the amount in the account before the $50 started being added which is $250.
800 = 50m + 250
50m = 800 - 250
m = (800 - 250) / 50
m = 11 months
THE PRESENT AGE OF A FATHER IS THREE TIMES THAN THAT OF HIS SON. FIVE YEARS AGO HE WAS FIVE TIMES AS OLD AS HIS SON. FIND THEIR PRESENT AGES.
(STEP BY STEP PLZ) (HOPE U ENJOY IT)
Answer:
Pls See the photo
Step-by-step explanation:
Hope u like it
Answer:
His son is 10 and his father is 30.
Step-by-step explanation:
Let the age of his son be x and his father's age be 3x.
5(x-5) = 3x-5
5x-25 = 3x-5
5x-3x = 25-5
2x = 20
x = 10
3x = 10 × 3
= 30
part of Ariana's earnings are based on a 5% commission rate at the end Of the day Ariana earns $14.98 in commissions how much did Ariana sell that day
HELP ASAP
Answer:
$0.75
Step-by-step explanation:
To find the answer multiply the amount of money earned by the percentage $14.98 and 5%
turn the percentage into a decimal. divide the number of the percentage by 100 5/100=0.05
multiply this by the amount of money to get 0.05*14.98=0.749. then round answer to two decimal places to get $0.75
Answer:
$0.75
Step-by-step explanation:
Calculate the slope between the points (0,1) and (8,4)
Answer:
3/8
Step-by-step explanation:
[tex]slope = \frac{4 - 1}{8 - 0} = \frac{3}{8} \\ [/tex]
Answer:
0.375
Step-by-step explanation:
slope = Y2-Y1/X2-X1
slope = 4-1/8-0
slope = 3/8
slope = 0.375
Hope that helps!
What is 2.53 rounded to the nearest whole number
Answer:
3.
Step-by-step explanation:
b\7+12=-8 helpppppppp
Answer:
b = -152
Step-by-step explanation:
7 + 12 = 19Plug 19 in: [tex]\frac{b}{19} = -8[/tex] Multiply each side by 19 to cancel out the 19 under b. It should now look like this: b = -152I hope this helps!
HELPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!1
Answer:
I deeply apologize if this answer is wrong but I believe the answer is C. y = 2x - 3.
Step-by-step explanation:
If this helped I would appreciate it if you marked me Brainliest. thank you and have a nice day!
What is the answer to x?
Answer:
x=24ft.............
Answer:
x = 24 ft.
Step-by-step explanation:
The 13 and the 5 and both multiplied by 2 to find the lengths of the second triangle. So, the 12 should also be multiplied by 2 to find the value of x:
12 * 2 = 24
x is 24 ft.
- 6x + 5y = 11 Complete the missing value in the solution to the equation x=-1
Answer:
Step-by-step explanation:
-6x+5y=11
If x= -1 replace x with -1
-6(-1)+5y=11
6+5y=11 subtract 6 from both sides
5y=5 divide by 5
y=1
Answer:
Sub in the value, 6mutiplied by -1 is 6 so 6+5y=11. Subtract 6 from both sides. 5y=5
Y=1
X=-1
(-1,1)
Select the correct answer.
Which point is a reflection of T(-6.5, 1) across the x-axis and the y-axis?
A.
point U
B.
point V
C.
point W
D.
point X
Answer:
the answer is W i think
Step-by-step explanation:
13 points Please answer quick.
Divide (x^5 - x^4 + x^3 - x^2 + x -1) by (x-1)
show your calculation
If you don't know don't answer.
If you do it I will report the answer.
Step-by-step explanation:
That's what I got.
Hope that was helpful
Answer:
[tex]\boxed{x^4 + x^2 + x}[/tex]
Step-by-step explanation:
[tex]\frac{x^5 - x^4 + x^3 -x^2 + x - 1}{x - 1}[/tex]
[tex]= \frac{(x - 1)(x^4 + x^2 + x)}{x - 1}[/tex]
[tex]= x^4 + x^2 + x[/tex]
.
Happy to help :)
Determine the x-intercept, y-intercept and slope of the line described by - 3x + 7y = –21 (Which is not proper Standard Form because the coefficient of x can't be negative)
Slope = 3/7
y - intercept: y = -3
x - intercept x = 7
how do u divide 13 by 286?
Means alot if u can give me the answer:)
Answer: 0.04545
Step-by-step explanation:
It is a decimal bc it is a smaller number divi by a larger number and it is not even, if it were flipped to be 286/13 the answer would be 22
distance formula from the origin?
Step-by-step explanation:
I'm not entirely sure what you mean by "from the origin", but hopefully this helps.
The distance formula for a Cartesian coordinate system (your standard x-y graph) is [tex]d=\sqrt{(x1-x2)^{2}+(y2-y1)^{2}}[/tex].
If you're measuring "from the origin", that just means one of your points is (0,0).
For example, if you were to measure between the origin and the point (1,4) your formula would look like this:
[tex]d=\sqrt{0-1)^{2}+(0-4)^{2}}\\d=\sqrt{(-1)^{2}+(-4)^{2}} \\d=\sqrt{1+16} \\d=\sqrt{17}[/tex]
So, the distance between the origin and (1,4) is [tex]\sqrt{17}[/tex].
I hope this helps! Please let me know if you have any other questions!