Answer:
(-3, 4)
Step-by-step explanation:
hey there,
< From the first equation, let's find x.
x + 3y = 9
x = 9-3y (I hope you understand how that works )
Next, we can substitute our equation that equals to x into the second equation.
2x + y = -2
2(9-3y) + y = -2 (I substituted "x" in "2x" with (9-3y))
Now, let's solve.
2(9-3y) + y = -2
18 - 6y + y = -2
-5y = -20
y = 4
Now that we have found what y is equal to, we can find x too. In the beginning we found that x = 9-3y so x = 9-3(4) = -3 >
Hope this helped! Feel free to ask anything else.
tyler wants to use $300 he has saved to buy a new guitar and join a music club. the guitar costs $140. the music club has a $25 membership fee, and for $11.95 per month, members can download 30 songs. tyler can afford the music club membership for ____ months, after which he will have ____ left.
Segment Addition Postulate: If PQ = x - 5, QR = 2x - 1, and PR = 21, find x. 3 points
Р
Q
R
D
17
Not enough information
Answer:
[tex] x = 9 [/tex]
Step-by-step explanation:
Given:
[tex] PQ = x - 5 [/tex]
[tex] QR = 2x - 1 [/tex]
[tex] PR = 21 [/tex]
Required:
Value of x
SOLUTION:
Point P, Q, and R are collinear, therefore:
[tex] PQ + QR = PR [/tex] (segment addition postulate)
[tex] (x - 5) + (2x - 1) = 21 [/tex] (substitution)
Solve for the value of x using the above equation.
[tex] x - 5 + 2x - 1 = 21 [/tex]
Combine like terms
[tex] x + 2x - 5 - 1 = 21 [/tex]
[tex] 3x - 6 = 21 [/tex]
Add 6 to each side of the equation
[tex] 3x - 6 + 6 = 21 + 6 [/tex]
[tex] 3x = 27 [/tex]
Divide each side by 3
[tex] \frac{3x}{3} = \frac{27}{3} [/tex]
[tex] x = 9 [/tex]
what is equivalent to 3/6
Answer:
1/2
Step-by-step explanation:
Answer:
1/2 is equivalent to 3/6 as well as 6/12 and other things just keep it same ratio
Alex's work for the following quiz problem is as follows: Is Alex correct? if it's incorrect, what is the correct solution?
Answer:
see explanation
Step-by-step explanation:
[tex]\sqrt{10}[/tex] and [tex]\sqrt{5}[/tex] cannot be simplified as they are already in simplest form.
Note that [tex]\sqrt{10}[/tex] + [tex]\sqrt{5}[/tex] ≠ [tex]\sqrt{15}[/tex]
Thus
2[tex]\sqrt{10}[/tex] + 5[tex]\sqrt{5}[/tex] ← cannot be simplified any further
Can someone help me with number 23?
Answer:
See explanation
Step-by-step explanation:
It is impossible to take the square root of a negative number. Try any value, nothing works. [tex]2^2 = 4[/tex], and [tex]-2^2 = 4[/tex]. It just doesn't work. This is why there is no real number that satisfies [tex]\sqrt{-4}[/tex] (however it is represented as [tex]2i[/tex], i being "the imaginary number" that mathematicians made up to represent it).
When we are finding the cube root of a number, we are looking for a number that when multiplied by itself 3 times, will equal the number.
This is different than squared. Any number, positive or negative, squared will be positive. However, we can test out values and see we can end up with a negative when cubing.
For example: [tex]5^3 = 5\cdot 5\cdot 5 = 125[/tex]
HOWEVER:
[tex]-5^3 = -5 \cdot -5 \cdot -5 = -125[/tex]
We know that [tex]2^3 = 8[/tex], this means that [tex]-2^3 = -8[/tex] (as [tex]-2 \cdot -2 \cdot -2 = -8[/tex])
Hope this helped!
What is the second step to solving this equation?9x - 23 = 49ASubtract 23 from both sides.BMultiply both sides by 9.CDivide both sides by 9.DAdd 23 to both sides. What happens to the order of operations when you’re solving a two-step equation?
Answer: C
Step-by-step explanation:Answer:
C
Divide both sides by 9.
One metre of material costs Rx. Write an expression to show that 8 metres cost R116.
Answer:
8x = R116
x = R14.5
Step-by-step explanation:
1 metre costs = x
8 metres cost = 8x
8x = 116 is the required equationx = 116/8x = 14.5Answer is: R14.5
Select all equations that are also equivalent to 0.6 + 15b + 4 = 25.6. *
15b + 4 =25.6
15b + 4 = 25
3(0.6 + 15b + 4) = 76.8
15b = 25.6
15b = 21
Answer: 15b+4=25 & 15b=21
Step-by-step explanation:0.6+15b+4=25.6
0.6+4= 4.6 , 4.6+15b=25.6 Subtract from both sides 25.6-4.6= 21 4.6-4.6=0 bring down 15b Now do 21÷15b= 1.4 . So now we know b represent 1.4. 15b+4=25 Subtract 4 from both sides 25-4=21 4-4=0 There's nothing left on that side but 15b so bring down 15b in order to get rid of your variable divide it 21÷15= 1.4 On this one b also represents 1.4 . 15b=21 this equation do not have an number so just divide 21 by 15 to get rid of your variable which equals 1.4 In this equation b= 1.4 So these to equations are equivalent which is another word for equal.
The equations which are equivalent to 0.6 + 15b + 4 = 25.6.
15b + 4 = 253(0.6 + 15b + 4) = 76.815b = 21what is equation?An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used in maths when you do not know the exact number in a calculation.
Given:
0.6 + 15b + 4 = 25.6.
On solving it further
15b + 4= 25.6-0.6
15b+4=25
15b= 25-4
15b= 21
3(0.6 + 15b + 4) = 76.8
On solving
0.6 + 15b + 4 = 76.8/3
0.6 + 15b + 4 = 25.6
So, the equivalent equations are:
15b + 4 = 253(0.6 + 15b + 4) = 76.815b = 21Learn more about equation here:
https://brainly.com/question/16255566
#SPJ2
solve the inequality T> L+D
Answer:
solving for t= t>d+l
For l= l<t-d
Then for d=d<t-l
PLEASE HELP!! SOMEONE PLEASE HELP!! (17 points!!)
I need to turn it in soon!!
Answer:
a) squareb)(-3, 5), (2, 5), (-3, 0), (2, 0)Step-by-step explanation:
Refer to attached
a) ............................
This is a square of side length of 5
b) ............................
Applied rule
(x,y) → (x -3, y +2)New coordinates:
(-3, 5), (2, 5), (-3, 0), (2, 0)PLEASE answer ASAP. THANK YOU
Answer:
< and [tex]\leq[/tex] and [tex]\neq[/tex]
Step-by-step explanation:
-7 is less than -4
-7 is less than -4, so less than or equal to works too. Because it is or, it works in this scenario.
-7 is also not equal to -4
Answer <
Step-by-step explanation:
Closer to zero
PLS HeLp ASAP I nEEd HELp
Answer:
the last bubble
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes
the original line: y = 5/2x + 5
The perpendicular line: y = -2/5x + b
To find b, we have to plug (-10, 5) into x and y for our perpendicular line
5 = -2/5(-10) + b
Simplify the right side
5 = 4 + b
Subtract 4 from both sides
1 = b
The final answer = y = -2/5x + 1
Ned wants to buy a car that costs $22,000. He has $12,500 saved. How much more does he need?
Answer:
$9,500
Step-by-step explanation:
$9,500. Answer is found by subtracting the amount that he already has by the amount he must have in the end.
Is 7/9 a rational number ?
Answer:
Yes.
Step-by-step explanation:
Rational numbers can be represented as fractions with integers. The denominator must not equal 0.
[tex]\frac{7}{9}[/tex] is already in this form. This means that it's a rational number.
Hope this helps.
Yes, 7/9 is a rational number. A rational number is any number that can be expressed as a fraction of two integers, where the denominator is not zero.
In this case, 7/9 can be written as the fraction where the numerator (7) and denominator (9) are both integers. Since there is no division by zero, 7/9 qualifies as a rational number.
Rational numbers can be represented as terminating decimals or repeating decimals. When we divide 7 by 9, we get the decimal representation 0.777... where the digit 7 repeats infinitely. This is a repeating decimal, and it's still considered rational because it can be expressed as the fraction 7/9.
In conclusion, 7/9 is a rational number since it can be expressed as the fraction of two integers, and it can be represented as a repeating decimal.
To know more about rational number:
https://brainly.com/question/17450097
#SPJ6
rewrite 5 3/4 as an improper
Answer:
5 3/4= 23/4 in improper fraction
What is the opposite of the opposite of the number located at point a?
ght
if mBC= 24 ft, mAC = 2x+1, and the mBA=7x-4, what is the value of x?
Answer:
[tex]x = 3[/tex]
Step-by-step explanation:
[tex]BC = 24[/tex]
[tex]AC = 2x + 1[/tex]
[tex]BA = 7x - 4[/tex]
Required
Find x
The given parameters shows that A is a point on BC;
So:
[tex]BC = BA + AC[/tex]
Substitute values for BC, BA, AC
[tex]24 = 7x - 4 + 2x + 1[/tex]
Collect Like Terms
[tex]24 + 4 - 1 = 7x + 2x[/tex]
[tex]27 = 9x[/tex]
Solve for x
[tex]x = 27/9[/tex]
[tex]x = 3[/tex]
Answer:
x=3
Step-by-step explanation:
:)
Can you please help me
Answer:
-8
Step-by-step explanation:
The five identical factors of 32 are ...
2·2·2·2·2 . . . . . each 32^(1/5)
The negative product of 3 of them is ...
-(2·2·2) = -8 . . . . . . the value of -32^(3/5)
_____
As written, without parentheses, the minus sign is applied to the result of the exponentiation.
Evaluate the expresssion |–12|–|8|.
Answer:
4
Step-by-step explanation:
The lines around the -12 and 8 is what we call absolute value. This means that whatever is in it, it will be positive. Knowing this the equation would be 12-8. This would give you 4.
What is the value of the expression below when z =
6?
z² + 32-3
Answer:
65
Step-by-step explanation:
z=6
1) 6*6=36
2) 36+32=68
3) 68-3=65
plzz help if you can.. i'm confused
Answer: A
Step-by-step explanation:
If you look at the line segment, it states that EG is 12. Now, we add EF and FG to get the value of x.
6x-8+2(x+2)=12 [distribute]
6x-8+2x+4=12 [combine like terms]
8x-4=12 [add both sides by 4]
8x=16 [divide both sides by 8]
x=2
Now, we know that A is the correct answer.
Answer: The answer is A.
Step-by-step explanation:
Seven times the difference of y and one
Answer:
7(y-1)
Step-by-step explanation:
First find the difference ( subtraction) of y and 1
y-1
Then multiply by 7
7(y-1)
If ba - cd = b, which expression represents a? show your work
Answer:
a = cd + b / b
Explanation:
ba − cd = b
[ Step 1: Add cd to both sides ]
ab − cd + cd = b + cd
ab = cd + b
[ Step 2: Divide both sides by b ]
ab / b = cd + b / b
a = cd + b / b
Calculate the area of given circles.Radius=3.5m
Answer: area = 38.48m
Step-by-step explanation:
Pi(3.5)^2
Pi(12.25)
38.48
figure b is a scaled copy of figure a. help?
18+343334333544/5
need help on other questions too
Answer:
68666866726.8
Step-by-step explanation:
Does (3, 0) make the equation y = x true?
Hey there! I'm happy to help!
This does not satisfy the equation y=x as x and y have two different values. 0 and 3 are not equal. A point like (3,3) would satisfy that equation.
Have a wonderful day! :D
The difference of two perfect cubes is 386. If the cube root of the smaller of the two numbers is 7, then the cube root of the larger number is
Answer:
9
Step-by-step explanation:
Let the two perfect cubes be x and y where x > y.
According to the given conditions:
[tex] {x}^{3} - {y}^{3} = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\ {x}^{3} - {7}^{3} = 386 \\ {x}^{3} - 343 = 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 729 \\ x = \sqrt[3]{729} \\ x = 9[/tex]
Thus the cube root of the larger number is 9.
Building and solving an equation, it is found that the cube root of the larger number is 9.
-------------------------
Examples of perfect cubes are 1, as [tex]1^3 = 1[/tex], 8, as [tex]2^3 = 8[/tex], 27, as [tex]3^3 = 27[/tex], and so on...We do not know the numbers, so they are called [tex]x^3[/tex] and [tex]y^3[/tex].Since the difference is 386, we have that:[tex]x^3 - y^3 = 386[/tex]
The cube root of the smaller number is 7, thus, [tex]y = 7[/tex], and now, it is possible to solve for x, and find the cube root of the larger number.[tex]x^3 - y^3 = 386[/tex]
[tex]x^3 - 7^3 = 386[/tex]
[tex]x^3 - 343 = 386[/tex]
[tex]x^3 = 386 + 343[/tex]
[tex]x^3 = 729[/tex]
[tex]x = \sqrt[3]{729}[/tex]
[tex]x = 9[/tex]
Thus, the cube root of the larger number is 9.
A similar problem is given at https://brainly.com/question/13161078
Give the range of the set of ordered pairs for this discrete data:
(-8, 6),(2. 11),(7, 21), (9,-3)
Answer:
8,6 2,11 7,21
Step-by-step explanation:
easy peasy
Fadi earned money selling pies and cakes. For the pies, he made a profit of $250 with an expense of $5 per pie. For the cakes, he made a profit of $200 with an expense of $4 per cake. He sold the same number of pies and cakes.
Answer:
the answer is 50
Step-by-step explanation:
i took the test and guessed and got it right
