Answer:
([tex]\frac{49}{29},\frac{19}{29}[/tex])
Explanation:
7x - 15y = 2 (1)
x + 2y = 3 (2)
x + 2y = 3
x + 2y - 2y = 3 - 2y
x = 3 - 2y (3)
Substitute (3) to (1)
7x - 15y = 2
7(3 - 2y) - 15y = 2
21 - 14y -15y = 2
21 - 21 - 29y = 2 - 21
-29y = -19
y = [tex]\frac{19}{29}[/tex] (4)
Plug (4) into (2)
x + 2y = 3
x + 2[tex]\frac{19}{29}[/tex] = 3
x + [tex]\frac{38}{29}[/tex] = 3
x = 3 - [tex]\frac{38}{29}[/tex]
[tex]x = \frac{87}{29}-\frac{38}{29} =\frac{49}{29}[/tex]
([tex]\frac{49}{29},\frac{19}{29}[/tex])
Can you write 8x=1 as a quadratic equation?
Answer:
yes
Step-by-step explanation:
The root of the given linear equation can be made to be a repeated root of a quadratic equation:
(8x -1)² = 0
HELP NEEDED ASAP
Order the numbers from least to greatest
Answer:
-31/6, -/26, -5, -5/6
first choice is the answer
+3 - (+7)
Can someone help pls!?
Answer:
Step-by-step explanation:
+3 - (+ 7) = 3 + (-7) = -4
Both integers have different sign. So, subtract and the result will have the sign of bigger number. Here bigger number is 7 and sign of 7 is (-). So, answer will be (-4)
Write an expression.
1 a. 49 divided by the difference of x and 2
Answer:
x + 2
--------
49
Step-by-step explanation:
that's the answer
The profit P in dollars, gained by selling x computers is modeled by p = -5x²+1000x+5000. How many computers must be sold to obtain a profit of 55,000,00
Answer:
[tex]p = - 5 {x}^{2} + 1000x + 5000 \\ 5500000 = - 5 {x}^{2} + 1000x + 5000 \\[/tex]
solve for x
Step-by-step explanation:
55,000,00=-5x²+1000x+5000
collect like terms
5x²-1000x= -55,000,00+5000
5x²-1000x = -45000
x²=-45000/5=-9000
x²=square root of 9000=3000
recall
5x²-1000x=3000
-1000x=3000
divide both side by coefficient of x
x= -3
Find the value for each variable.
the value of variable x is 55 answer ok . angle q is 35 p is 90
Betty is 3 times as old as Mike. In 5 years, she will be twice as old. How old are they now?
Answer:
Betty is 15.
Mike is 5.
Step-by-step explanation:
We can let Betty's age be b and Mike's age be m.
Since Betty's age is 3 times of Mike, then
[tex]b=3m[/tex]
In 5 years, the age of Betty and Mike would be [tex]b+5[/tex] and [tex]m+5[/tex] respectively.
Since Betty is 2 times as old as Mike then, then [tex]b+5=2(m+5)[/tex].
We know that [tex]b=3m[/tex], so we can substitute that:
[tex]3m+5=2(m+5)[/tex]
Expand:
[tex]3m+5=2m+10[/tex]
Subtract 5 from both sides:
[tex]3m+5-5=2m+10-5[/tex]
[tex]3m=2m+5[/tex]
Subtract 2m from both sides:
[tex]3m-2m=2m+5-2m[/tex]
[tex]m=5[/tex].
Mike is 5 years old.
Since Betty is 3 times as old as Mike, Betty's age is [tex]5*3=15[/tex]
Savannah decides to download some new music. she downloaded 5 albums and 7 singles, and his total was $71. The next day she purchased more music from the same retailer and downloaded 3 more albums and 6 singles for a total of $48.
Assuming that all albums and singles are the same prices, how much did she spend on each album and each single? Write a system of equations to represent this situation. Then solve for the solution using the elimination method.
Answer:
Step-by-step explanation:
downloaded= 5 albums and 7 singles and total price is $71
Know,
album + singles = 5+7= 12
∴ price÷ from total of albums and singles
$71÷12=$5.92
per album = $5.92
per single = $5.92
Next day;
3+6=9
total price =$48
⇒ =$48÷9 = $5.3
per album= $5.3
per album= $5.3
""""" I just try to Solve """"""
Answer: Singles are $3/each and albums are $10 each.
Step-by-step explanation:
Let A and S represent the number of Albums and Singles, respectively.
We are told that:
5A + 7S = $71
and also that:
3A + 6S = $48
We have two equations and 2 unknowns. Use elimination to find the price of one and then that will tell us the price of the other. I'll choose to eliminate the A:
5A + 7S = $71
3A + 6S = $48
We can do the elimination in one of 2 ways:
1) Solve one of the equations for A or S, and substitute it in the other:
3A + 6S = $48
3A = $48 - 6S
A = ($48 - 6S)/3
Now use this definition of A in the first equation:
5A + 7S = $71
5(($48 - 6S)/3) + 7S = $71
5(($48 - 6S)/3) + 7S = $71
$80 - 10S + 7S = $71
-3S = - 9
S = $3
Now we can find A:
5A + 7S = $71
5A + 7(3) = $71
5A + 21 = $71
A = $10
======
2) We could also modify one of the equations and then subtract to eliminate a variable:
5A + 7S = $71
3A + 6S = $48
Let's multiply the second equation by -(5/3):
-(5/3)*(3A + 6S = $48)
-5A - 10S = -90
Now add this to the first equation:
5A + 7S = $71
-5A - 10S = -80
- 3S = - 9
S = $3 and therefore A = $10
A limousine cost 75,000 new but deprecates at rate of 23% per year what is the value of the limousine after five years
Answer:
$20,300.88
Step-by-step explanation:
First Year : 75,000x(1-23%)
Second Year: 75,000x(1-23%)x(1-23%)
=75,000x(1-23%)^2
Third Year : 75,000x(1-23%)x(1-23%)x(1-23%)
=75,000x(1-23%)^3
x Year : 75,000x(1-23%)^x (Analogical Reasoning)
Hence : Fifth year:75,000x(1-23%)^5 = 75000x(0.77)^5
23%=0.23 1-23%=1-0.23=0.77
Therefore Fifth Year: 75000x(0.77)^5=$20300.88
What are the roots of the equation?
X^2(6x - 11) (7x– 8) = 0
Answer:
0, 11/6 , 8/7
Step-by-step explanation:
Answer:
[tex]0, \frac{11}6, \frac87[/tex]
Step-by-step explanation:
Good thing it's already written as a product, which spares us the most complicated (and boring) part.
We know that a product is zero if it's 0 any of the factors.
From the first one [tex]x^2=0 \rightarrow x=0[/tex]
from the second factor [tex]6x-11=0 \rightarrow x=\frac{11}6[/tex]
and finally, for the third one, [tex]7x-8 =0 \rightarrow x = \frac87[/tex]
Find the perimeter.Simplify your answer.
Answer:
22w - 18
Step-by-step explanation:
To find the perimeter we have to add up all the sides
10w-10+w+1+10w-10+w+1
combine light terms
22w - 18 would be our answer
Answer:
2(10w-10)+2(w+1) =
20w-20+2w+2 =
22w-18
find the approximate measure of the missing length
Answer:
b= 20.8
Step-by-step explanation:
Pythagorean Theorem: a²+b²=c²
a= 12
b= ?
c= 24
Equation: 12²+b²=24²
12²= 144
24²= 576
New equation: 144+b²=576
Find b: 576-144=432
[tex]\sqrt432[/tex]= 20.7846097
Round to nearest tenths: 20.8
b= 20.8
Check answer:
144+432=576
Correct!
how do you convert 56 feet into a decimal please help me pleaseeee
Answer:
[tex] \: [/tex]
One Square Feet is equivalent to 0.0022956820843815 Decimal.
Hence, to convert Square Feet to Decimal, we just need to multiply the number by 0.0022956820843815.
We are going to use very simple Square Feet to Decimal conversion formula for that.
see the calculation example given below.
Convert 56 Square Feet to Decimal ⇒ 56 Square Feet
= 56 × 0.0022956820843815 = 0.12855819672536 Decimal
To join the speech and debate club, there is a $28.90 initial fee and a $2.20 yearly fee. Write an equation in slope-intercept form where x represents the number of years enrolled in the club, and y represents the total amount of fees paid.
The equation that represents the total cost of the club will be y = 2.20x + 28.90.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
To join the discourse and discussion club, there is a $28.90 beginning charge and a $2.20 yearly expense.
Let 'x' be the number of years and 'y' be the total cost. Then the equation is given as,
y = 2.20x + 28.90
Where the number 2.20 represents the slope and the number 28.90 represents the y-intercept of the line.
More about the linear equation link is given below.
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PLZ ANSWER QUICK. WILL GIVE BRAINLY. NO EXPLANATION NEEDED.
Answer:
None of these are correct
Step-by-step explanation:
XZ = XY + YZ = 48 + 50 = 98
!! please help me i’ll mark brainliest !!
Answer:
1/2=(A+B)
area of triangle=1/2×base×height
Calculate the sum of each expression. Arrange the expressions in the order of their value from largest to smallest.
Answer:
Check attached
Step-by-step explanation:
[] The first one you add
() -8 + 9 = 1
() -2/5 + 1/5 = -1/5
() 1/1 = 5/5, 5/5 - 1/5 = 4/5
[] The second one you subtract, the + and - become a -
() 9 - 5 = 4
() 2/5 - 3/5 = -1/5
() 4 - 1/5 = 3 4/5
() 3 * 5 = 15, 15 + 4 = 19/5
[] The third one you add
() 2 + 2 = 4
() 1/5 + 2/5 = 3/5
() 4* 5 = 20, 20 + 3 = 23/5
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
The amount of time operators of a popular amusement park ride spend loading, safety checking, and unloading guests is 5 minutes per ride. The operators also spend 200 minutes each day completing other ride-related and guest-service tasks while the ride cars are in the station. The ride itself takes 3 minutes to complete. If the amusement park is open on Saturdays for 12 hours (720 minutes), write an inequality to describe how many cycles of the ride, at most, can be completed on a Saturday. Explain each term in your inequality.
Also how do you give a brainliest person
Answer:
200 + 3x + 5x ≤ 720
(or simplified, 200 + 8x ≤ 720)
and x = 65
Step-by-step explanation:
x represents the number of rides
3 + 5 = 8
720-200 = 520
520/8 = 65
The inequality for the number of rides will be 200 + 3x + 5x ≤ 720. The number of rides will be 65.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality showed greater than and less than the relationship between variables and the numbers.
Given that the number of time operators of a popular amusement park ride spends loading, safety checking, and unloading guests is 5 minutes per ride. The operators also spend 200 minutes each day completing other ride-related and guest-service tasks while the ride cars are in the station. The ride itself takes 3 minutes to complete. If the amusement park is open on Saturdays for 12 hours (720 minutes),
The inequality will be written as below,
200 + 3x + 5x ≤ 720
Here, x represents the number of rides
3 + 5 = 8
720-200 = 520
520/8 = 65
Therefore, the inequality for the number of rides will be 200 + 3x + 5x ≤ 720. The number of rides will be 65.
To know more about inequality follow
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HELP PLZ ︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎
ok done. Thank to me :>
Find the value of x so that f(x) = 13 f(x) = 3x+4
A. 2
B. 3
C. 6
D. 4
Step-by-step explanation:
→ 3x + 4 = 13
→ 3x = 13 - 4 = 9
→ x = 9/3 = 3
→ x = 3
option B is correct
hope this answer helps you dear! take care
The figure shows a line graph and two shaded triangles that are similar:
Which statement about the slope of the line is true?
It is 3 throughout the line.
It is fraction 1 over 3 throughout the line.
The slope from point O to point A is fraction 1 over 3 time the slope of the line from point A to point B.
The slope from point O to point A is three times the slope of the line from point A to point B.
Answer:
Every time the y-value decreases by 1, the x-value increases by 2, so the slope is -1/2 throughout the line.
Step-by-step explanation:
Answer:
It is the on below because I did an FLVS test and got it right
Step-by-step explanation:
It is fraction 1 over 3 throughout the line.
Helppp plzzz I will mark brainliestttt
Answer:
therefore the correct option is Y-⅓-¾(×-4)
Step-by-step explanation:
Equal of a line
Y-⅓=m(×-×1)
Y-⅓=¾(×-4
Answer:
y -1/3 = 3/4( x-4)
Step-by-step explanation:
We can use the point slope form of an equation of a line
y-y1 = m(x-x1)
where m is the slope and (x1,y1) is a point on the line
y -1/3 = 3/4( x-4)
Name three integers between −12 and −7. And no bots allowed.
Answer:
-11 -10 -9
Step-by-step explanation:
I'm not 100% sure
Answer:
-10 , -9 , -8
Step-by-step explanation:
An Integer is a whole number, regardless of the sign (positive or negative).
In this case, the numbers between -12 and -7 are:
-11 , -10 , -9 , -8
So you can decide which 3 integers you want.
~
Is the first number divisible by the second? Explain.
45 by 5
Answer:
Yes
Step-by-step explanation:
45 is divisible by 5 because 45 divided by 5 is 9
¯\_(ツ)_/¯
5) Which table does NOT represent a function?
Answer: D does not represent a function.
Step-by-step explanation: I hope this helps you out.
Fraction of alphabets in word PRAKASH made of 3 straight line is
please right answer due is tomorrow
Answer:
The answer 4/7
Step-by-step explanation:
A K A H
4 letters in the word PRAKASH are made of 3 straight lines. That's why the fraction is 4/7.
In the word, 4/7 fraction of the letters is made up of 3 straight lines.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
In the word PRAKASH, there are 7 letters, In which 2 A's, 1 K, and 1 H is made up of 3 straight lines so (2 + 1 + 1) = 4.
∴ The fraction of the alphabet made up of three straight lines is,
= 4/7
learn more about fractions here :
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Please help me pretty please
Answer:
805, 835, 865, 885
Step-by-step explanation:
divided into 20 parts
900-800=100
100/20=5
each part is 5
first one is 1 part away from 800
800+5=805
second one is 7 away from 800
800+7*5=835
third one is 7 away from 900
900-7*5=865
fourth one is 3 away from 900
900-3*5=885
Answer:
Solution :Here we can see that horizontal line divided into 20 vertical lines between the horizontal line. Then,
= 900 - 800
= 100
Finding the value of 1 vertical line.
➝ 1 line = 100
➝ 1 line = 100/20
➝ 1 line = 5
Hence, 1 line = 5
Finding part 1 :
➝ 800 + (1 × 5)
➝ 800 + 5
➝ 805
Finding part 7 :
➝ 800 + (7 × 5)
➝ 800 + 35
➝ 835
Finding part 13 :
➝ 800 + (13 × 5)
➝ 800 + 65
➝ 865
Finding part 17 :
➝ 800 + (17 × 5)
➝ 800 + 85
➝ 885
Hence, the answer is 805, 835, 865, 885.
Answer using scientific notation
0,00000000023 x 140000000
830000 x 0,00000034
0,00000042 x 0,0000081
Answer:
1. 3.22 x 10^-2
2. 2.822 x 10^-1
3. 3.402 x 10^-12
Step-by-step explanation:
1. 0.00000000023 x 140000000
= 2.3 x 10^-10 x 1.4 x 10^8
= 3.22 x 10^-2
2. 830000 x 0.00000034
= 8.3 x 10^5 x 3.4 x 10^-7
= 0.2822
= 2.822 x 10^-1
3. 0.00000042 x 0.0000081
= 4.2 x 10^-7 x 8.1 x 10^-6
= 3.402 x 10^-12
4. Aidan wrote the interval (-5, 4) and claimed it was equivalent to the graph below. Explain what he did
wrong and correct his mistake.
Apologize If i keep spamming this question, I just really need help
Answer:
C , 18
Step-by-step explanation:
Answer:
The sum of the exterior angles of a polygon is always 360°.
Therefore,
[tex]x+2x+3x+5x+9x=360[/tex]
[tex]20x=360[/tex]
Divide both sides by 20:
[tex]\frac{20x}{20}=\frac{360}{20}[/tex]
[tex]x=18[/tex]