Answer:
[tex]x = -\frac{19}{3}, y = 4[/tex] or [tex](-\frac{19}{3}, 4)[/tex]
Step-by-step explanation:
Given the systems of linear equations, 3x + 6y = 5 and -3x - 3y = 7:
Equation 1: 3x + 6y = 5
Equation 2: -3x - 3y = 7
The best method to use for the given system is the process of elimination, since the coefficients of x in both equations have opposite signs.
Step 1: Add both equations:3x + 6y = 5
-3x - 3y = 7
3y = 12
Step 2: Divide both sides by 3:[tex]\frac{3y}{3} = \frac{12}{3}[/tex]
y = 4
Step 3: Substitute the value of y into Equation 1:3x + 6y = 5
3x + 6(4) = 5
3x + 24 = 5
Step 4: Subtract 24 from both sides:3x + 24 - 24 = 5 - 24
3x = -19
Step 5: Divide both sides by 3:[tex]\frac{3x}{3} = \frac{-19}{3}[/tex]
[tex]x = -\frac{19}{3}[/tex]
Verify the validity of x and y as solutions:Verify whether the values for x and y satisfy both equations: [tex]x = -\frac{19}{3}, y = 4[/tex]
Equation 1: 3x + 6y = 5
[tex]3(-\frac{19}{3}) + 6(4) = 5[/tex]
-19 + 24 = 5
5 = 5 (True statement).
Equation 2: -3x - 3y = 7
[tex]-3(-\frac{19}{3}) - 3(4) = 7[/tex]
19 - 12 = 7
7 = 7 (True statement).
Therefore, the solutions to the given systems of linear equations are: [tex]x = -\frac{19}{3}, y = 4[/tex], or [tex](-\frac{19}{3}, 4)[/tex].
Answer:
x = -19/3, y = 4
Step-by-step explanation:
can you scale up to 1,120 from 2? or, can you determine how many moose per one person?
The scaling up of 1,120 from 2 requires that we have; 560 moose per one person.
Scaling up 1,120 from 2 requires determining the conversion factor of 2 to 1,120
Conversion factor, c.f = 1,120/2
c.f = 560In essence, the scaling up of 1,120 from 2 requires that we have; 560 moose per one person.
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Evaluate 2(8 + t)3 – 6 when s = 3 and t = 2.
+) The value of the expression is 250
Step-by-step explanation:
s = 3 and t = 2
= 2(8 + t)³ - 6
= 2(8 + 2)³ - 6
= 2(10)³ - 6
= 2(1.000) - 6
= 2.000 - 6
= 1.994
what is the radical simplified expression of 16^5/4
Radical form → [tex]\sqrt[4]{16^{5} }[/tex]
The actual value:
Write as [tex](\sqrt[4]{16} )^{5} =2^{5} =32[/tex]
sqrt(4)((16)^{5))
Step-by-step explanation:
Value
(4,16))^5 = 2^5 = 32
A camera has a listed price of $750.99 before tax. If the sales tax rate is 8.25% find the total cost of the camera with sales tax included. Round your answer to the nearest cent, as necessary.
Answer:
we get $812.95: total cost
Step-by-step explanation:
The sales tax on this $750.99 camera is found as follows: 0.0825($750.99) = $61.96. Adding this amount to the $750.99 price, we get $812.95: total cost.
A faster way to calculate the total cost is to multiply $750.99 by (1.0825): again we get $812.95
Now that you’ve calculated all the missing values, complete the table.
Missing Blank for:
Raul and his friends: (3/4) / (1/20) = 15
Items: 15
Cars: (7/8) / 2 = 7/16
Weight per item: 7/16
Baby elephants: (3/4) / (3/8) = 2
Items: 2
Goats: (1/2) / 4 = 1/8
Weight per item: 1/8
Desks: (3/8) / (1/32) = 12
Items: 12
The vertices of a triangle are A(-1,1), B(-1,4), and C(-5,4). What are the
vertices of the image reflected across the line y=x? *
1
O A(-1,-1), B(-1,-4), and C(-5,-4)
O A(1,1), B(1,4), and C(5,4)
O A(1,-1), B(4,-1), and C(4-5)
O A(-1,1), B(-4,1), and C(-4,5)
Answer:
A(1,-1), B(4,-1) and C(4, -5)
Step-by-step explanation:
Solve for
98=.71
i need asap
Answer:
There's no solution for this. Are you sure you wrote the problem correctly?
Step-by-step explanation:
Answer:
?????????????????
Step-by-step explanation:
???????????????
Hey , can someone please help me with this problem.
Answer:
Ok so for intrest you use the formula
I=prt
so we just multiply everthing together
800*0.03*6=144
She'll make 144 dollars
Hope This Helps!!!
PLS HELP WILL MARK BRAINLIEST!!!!!!!!
answer both questions (they are two separate questions)
Answer:
#1
[tex]{ \tt{ {( \frac{ {2x}^{ - 1} }{ {4x}^{2} } )}^{ - 3} }} \\ \\ = { \tt{ {( \frac{ {x}^{( - 1 - 2)} }{2}) }^{ - 3} }} \\ \\ = { \tt{ ({ \frac{ {x}^{ - 3} }{2}) }^{ - 3} }} \\ \\ = { \tt{( \frac{ {x}^{( - 3 \times - 3)} }{ {2}^{ - 3} } }}) \\ \\ ={ \boxed{ \mathfrak{answer : { \tt{ {b. \: 8 {x}^{9} }}}}}}[/tex]
#2
[tex]{ \tt{ \frac{16 {x}^{3} - {4x}^{2} + 44x - 60 }{4x} }} \\ \\ { \boxed{ \mathfrak{answer : \: { \tt{b. \: 4 {x}^{2} - x + 11 - \frac{15}{x} }}}}}[/tex]
helpppppppppppppppppppppppppppp
Answer:a is 14, b is 70%, c is 250
Step-by-step explanation:
Calculate (1.11) and (8.2)
Answer:
9.102
Step-by-step explanation:
Assuming this means multiply to each other
1.11 x 8.2 = 9.102
Please help me!!
What is the value of x?
A single triangle is 180 degrees.
As you can see. Triangle A, as it is shown in the bad drawing. It is an isosceles triangle because two sides are equal to one another, indicated with the lines. Angle A is given as 57. By the isosceles triangle theorem, Angle A equals to Angle B. Calculating the missing angle: 180 - 57 (given) - 57 (because of the isosceles triangle theorem type of thing. I forgot) = 66
You can see it is a verticle angle so angle C is equal to angle D, therefore angle D is 66.
Again it is an isosceles triangle so Angle F is 66. 180 - 66(angle D) - 66(angle F) = 48 = angle x
Angle A = 57 degrees. Given
Angle A = Angle B. isosceles triangle theorem
Angle B = 57 degrees. Substitute
Angle A + Angle B + Angle C = 180. Definition of Triangle (I forgot what it was called)
57 + 57 + Angle C = 180. Substitution
Angle C = 66. Subtraction
Angle C = Angle D. Verticle angle theorem.
Angle D = 66. Substitution
Angle F = Angle D. isosceles triangle theorem
Angle F = 66. Substitution
Angle D + Angle F + Angle X = 180. Definition of Triangle?
66 + 66 + Angle X = 180. Substitution
Angle X = 48. Subtraction
Find the distance between (4,5) and the line y=-3/2x-2
Answer:
15
17
5
Step-by-step explanation:Given equation of lines can be written as
2x−y+4=0, 2x−y−
3
5
=0
Since, these lines are parallel .
So, d=
a
2
+b
2
∣c
1
−c
2
∣
⇒d=
5
3
17
=
15
17
5
Answer:
1517
Step-by-step explanation:
Step-by-step explanation:Given equation of lines can be written as
2x−y+4=0, 2x−y−
3
5
=0
Since, these lines are parallel .
So, d=
a
2
+b
2
∣c
1
−c
2
∣
⇒d=
5
3
17
=
15
17
5
sue spent $8 on a shirt $39 on a jacket and $12 on a hat how much did she spend?
Answer:
$59 was spent
Step-by-step explanation:
8 + 39 + 12 = 59
Which means $59 was spent
If x= (5/8)^2 x (12/15)^2 then the value of x^3 is
#Explanation please
#No spam
Step-by-step explanation:
[tex]\sf \longmapsto \: x = \bigg( \dfrac{5}{8} \bigg ) ^{2} \times \bigg( \dfrac{12}{15} \bigg) ^2[/tex]
We need to Find:
value of x³[tex]\sf \longmapsto \: x = \cancel{ \frac{5 \times 5}{8 \times 8}} \times \cancel{ \frac{12 \times 12}{15 \times 15}} [/tex]
[tex]\sf \longmapsto 2 \times 2[/tex]
[tex]\sf \longmapsto \: x = 4[/tex]
[tex]\sf \longmapsto \: x {}^{3} [/tex]
Put 4 in the place of x[tex]\sf \longmapsto {4}^{3} [/tex]
[tex]\sf \longmapsto4 \times 4 \times 4[/tex]
[tex]\sf \longmapsto64 {}^{1} [/tex]
[tex]\boxed{\sf x^3≈64 {}^{}} [/tex]
What is the first term and explicit rule for the following geometric sequence? 3. 15,75,375, 1,875
First term: 3
Exiplicit formula:
[tex]3/5*5^n[/tex] or 3x5^n-1
Hope this helps!
The first term is 3 and the explicit rule for the given geometric sequence is 3 × [tex]5^{n-1}[/tex].
What is geometrical progression series?A geometric progression is a sequence in which any element after the first is obtained by multiplying the previous element by a constant which is called a common ratio denoted by r.
For example, the sequence 1, 4, 16, 64,… is a geometric sequence with a common ratio of r = 4.
As per the given GP series,
3,15,75,375, 1,875
The common ratio r = 15/3 = 5
First term a = 3
The nth term is given as a[tex]r^{n-1}[/tex]
Therefore,
The nth term will be as, 3 × [tex]5^{n-1}[/tex]..
Hence "The first term is 3 and the explicit rule for the given geometric sequence is 3 × [tex]5^{n-1}[/tex]".
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Patricio bought a fish. The scale showed that the fish weighed more than 2.56 pounds but less than 2.57 pounds.
Answer:
The fish weighed 2.565 pounds.
Step-by-step explanation:
I grabbed what was half of 10 and put it at the end, to get the middle of the 2 numbers.
-5n+6> -7(5n-6)-6n what is that simplified
Answer:
n>1
Step-by-step explanation:
Answer:
n>1
Step-by-step explanation:
[tex] - 5n + 6 > - 35n + 42 - 6n \\ 36n - 36 > 0 \\ 36(n - 1) > 0 \\ n > 1[/tex]
Emily eats 4 bags of Takis in hours. How many bags of Takis can she eat in one
hour?
Answer:
There is not enough information.
Step-by-step explanation:
You said that she eats 4 bags of takis in hours. You didn't give how many hours she can eat 4 bags of Takis. So we do not know how many she can eat in one hour if we dont know how many hours she can eat 4 bags.
Select the correct answer.
What is ?
A.
B.
C.
D.
Answer:
b
Step-by-step explanation:
Answer:
b4/3
Step-by-step explanation:
Please help ASAP! Only answer if you know the correct answer! Thanks :)
Answer:
29 minutes
Step-by-step explanation:
10 1/10 = 101/10
4 9/10 = 49/10
(49/10)/(101/10) = 49/101 hr
49/101 hr = 2940/101 mins = 29 mins
PLEASE HELP KMG MGGMMFMF.
Answer:
<MQP = 138 degrees
Step-by-step explanation:
5x + 19 = 2x + 49
5x - 2x = 49 - 19
3x = 30
x = 30/3
x = 10
2 (<MQN) = 5(10) + 19 = 69 * 2 = 138 degrees
find the value of x.
Answer:
easy duh
Step-by-step explanation:
it's 90 degrees
90 - 36 is
54
profit.
gimme brainliest
Answer:
54 degrees
Step-by-step explanation:
You can just do 90-36 to get your answer for this one, since it is a right angle.
90-36=54
so it would be 54 degrees
How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answer:
A) No solution
Step-by-step explanation:
Given the systems of linear equations, y = 2x + 1 and y = 2x - 1:
Both equations in the system have the same slope, m = 2, thus forming parallel lines. Since their lines are parallel from each other, then it means that their lines will never intersect.
Therefore, the given systems of linear equation is an inconsistent system that has no solution.
Can you help me on this question Plss??
Please help. ASAP. Work out, giving your answer in its simplest form:
3 1/2 divided by 2 3/5
Answer:
26/35
Step-by-step explanation:
1. First to divide the 3 1/2 by 2 3/5 you have to turn them both into improper fractions
First take 3 1/2. You have to multiply the whole number (3) by the denominator (2) and you would get 6. Then you would add then you add the product (6) to the numerator (1) and get 7.
You keep the denominator the same so the improper fraction is 7/2
Do the same thing to 2 3/5 and the improper fraction is 13/5
2. Now we can divide 13/5 by 7/2 using "keep, change, flip"
Keep: 13/5
Change: division to multiplcation
Flip: 7/2 to make 2/7
Your new equation is 13/5 × 2/7. Multiplcation is easy so you just have to multiply staight across: 13 × 2 and 5 × 7 giving you 26/35
If you divide 35 by 26 you will get 1.34 and a bunch of other numbers but I usually stop at two decimal places
hope this helps :)
Givin P(X)=0.35, P(Y)=0.45, and P(Y|X)=0.25, what are P(X and Y) and P(X or Y)
Answer:
[tex]P(Y|X)=\frac{P(Y\cap X)}{P(Y)} \\ P(Y\cap X) = P(Y)P(Y|X) \\ = 0.45 \times 0.25 \\ \boxed{P(Y\cap X) =0.1125} \\ P(Y\cup X) = P(Y) + P( X) - P(Y\cap X) \\ = 0.45 + 0.35 - 0.1125 \\ \boxed{P(Y\cup X) =0.6875}[/tex]
HOW MANY DECIMAL PLACE(S) IS THE PRODUCT OF 0.345 AND 0.06?_____
Answer:
0.0207
Step-by-step explanation:
0.345×0.06=0.0207
Answer:
There are four decimal places in the product.
d=8-u
make
U the subject
Answer:
U=-d+8
Step-by-step explanation:
To get u by itself, you subtract 8 from both sides and multiply by -1 to get positive u.
The product of 6 and a number is 38. Find the number
Answer:
n = 6 1/3
Step-by-step explanation:
"Product" means to multiply
Can be written as 6 x n = 38 or 6n = 38
6n = 38
6n/6 = 38/6
n = 6 2/6
n = 6 1/3
If the product of 6 and a number is 38 then the number 'x' is equal to 6.33.
Let's denote the unknown number as 'x'. According to the given information, the product of 6 and 'x' is equal to 38. We can express this mathematically as:
6x = 38
To find the value of 'x', we need to isolate it on one side of the equation. We can achieve this by dividing both sides of the equation by 6:
6x/6 = 38/6
Simplifying the equation, we have:
x = 6.33
Therefore, the number 'x' is equal to 6.33.
It's important to note that in this case, the number 'x' is not an integer but a decimal value. The equation 6x = 38 represents a proportional relationship, where 6 times the value of 'x' equals 38. By dividing both sides by 6, we solve for 'x' and determine that it is approximately 6.33.
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