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Solve the given system of equations by using an algebraic method that eliminates one of the variables. (SHOW ALL WORK.) :
Question 5:

2x + 3y = -4
5x + 2y = 1

Question 6:

5c + 7d = 39
6c - 5d = 20

REMEMBER TO SHOW ALL WORK!

Hopefully this helps you !

Answer:

2.003561 ounces or 2.0 rounded

Step-by-step explanation:

[tex]\boxed{\,1\,}\qquad\left(\dfrac23\right)\\\\\boxed{\,2\,}\quad27\left(\dfrac23\right) \\\\\boxed{\,3\,}\quad12\left(\dfrac23\right)\qquad \bold8\\\\ \boxed{\,4\,}\quad\ 9\,\left(\dfrac23\right)[/tex]

Answer:

Step-by-step explanation:

Answer:

Total cost = 40 + 0.2t

Step-by-step explanation:

Given:

Fixed cost for call = $40

Each message cost = $0.20

Number of message = t

Find:

Equation of total cost

Computation:

Equation of total cost

Total cost = Fixed cost for call + (Each message cost)(Number of message)

Total cost = 40 + 0.2t

Answer:

-28

Step-by-step explanation:

The solution is the value of f(3) = -28.

An expression is any mathematical statement which consists of numbers, variables and an arithmetic operation between them. In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

here, we have,

given expression is,

f(x) = -4x^2 + 4x - 4

now, we have to find the value of f(3).

so, we have to put x = 3, in the expression.

we get,

f(x) = -4x^2 + 4x - 4

f(3) = -4* 9 + 4*3 -4

or, f(3) = -36 + 12 -4

or, f(3) = -28

Hence, The solution is the value of f(3) = -28.

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Answer:

According to the calculation, Wayra mage a mistahe in step 2 where she added 13 and 6 together instead of multiplying to get 78.

She also make a mistake in step 2 where he subtracted 5z from 4z to get z instead of -z

Step-by-step explanation:

Given the equation solved by Wayra expressed as;

Step 1: 13(z+6) = 4(z-3)-5z

She is find the value of z from the equation;

Step 2: Open the parenthesis using the distributive property;

13(z+6) = 4(z-3)-5z

13z + 13(6) = 4z - 4(3) - 5z

13z + 78 = 4z - 12 - 5z

Step 3: Simplify

13z + 78 = 4z - 5z - 12

13z + 78 = -z -12

Step 4: Collect the like terms;

13z + z = -12 - 78

Step 5: Simplify the result

14z = -90

Step 6: Divide both sides by 14

14z/14 = -90/14

z = 6.428

According to the calculation, Wayra mage a mistahe in step 2 where she added 13 and 6 together instead of multiplying to get 78.

She also make a mistake in step 2 where he subtracted 5z from 4z to get z instead of -z

Answer:

X=4

Step-by-step explanation:

Given the equation

√2x+1 + 3= 0

Subtract 3 from both sides

√2x+1 +3 +3 = 0-3

√2x1 = -3

Square both sides

{√2x+1)² =(-3)²

2x+1 =9

2x= 9-1

2x = 8

x = 8/2

x = 4

Hence I agree that the solution is x = 4 based on the explanation above

Answer:

4/3

Step-by-step explanation:

You're going to want to use the slope formula which is attached. Using this, you'll take the second y and subtract the first y from it. In other words, 11-7, which is 4. This will be the numerator. Then, you'll take the second x and subtract the first x from it. In other words, 6-3, which is 3. This will be the denominator. The final answer is [tex]\frac{4}{3}[/tex].

P= 3

Q= -14

R= -5

Step-by-step explanation:

Just solve the equation on the right side, you'll get:

=3x^2 -15x +x -5

=3x^2 -14x -5

Now compare it to the equation on the left side,

The coefficient of x^2 on the left is "p", on the right that we just solved is 3.

Same for "q" which is the coefficient on the left, on the right it's -14.

And for "r" it's -5 from the equation on the right.

Answer: Mike stops running at 12:18 PM

Step-by-step explanation: We know he runs 1 mile each 12 minutes and we also knows he ran 4 miles so the equation is 12*4 or (12 times 4) which is equal to 48. We then add 38 minutes to 11:30 AM and end up at 12:18 PM.  

Answer:

12:18 P.M

Step-by-step explanation:

So the first thing I did was find out the amount of time it takes Mike to run 4 miles by multiplying 12 x 4 = 48

So Mike spends 48 minutes running the 4 miles.

Now we add 48 minutes to 11:30. So since there is no such thing as 11:78 I first subtracted the 30 minutes from the 48 minutes and added that to 11:30 which gave me 12:00 pm and then I just added the reamaining18 minutes.

which in conclusion means,

Mike will finish his 4 miles at 12:18 P.M

Answer:

d

Step-by-step explanation:

equalitivietion form akk absolute vaules.

Answer:A

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

magnitude of √61 and a direction angle equal to approximately 40°

Step-by-step explanation:

I inserted the x,y axis into a vector calculator to get the magnitude and angle :D

The magnitude of the vector is √61 and the direction of the angle is 40 degrees option (C) magnitude of √61 and a direction angle equal to approximately 40° is correct.

It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.

We have a vector shown in the picture.

The coordinate of the vector are:

The tail coordinate = (0, 0)

The head coordinate = (6, 5)

We can find the magnitude of the vector using the distance formula:

The distance formula can be given as:

[tex]\rm M=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\rm M=\sqrt{(6-0)^2+(5-0)^2}[/tex]

M = √61

The direction of the angle:

tanA = 5/6

tanA = 0.8333

A =39.80 ≈ 40 degrees

Thus, the magnitude of the vector is √61 and the direction of the angle is 40 degrees option (C) magnitude of √61 and a direction angle equal to approximately 40° is correct.

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Answer:

Yes

Step-by-step explanation:

ΔGHJ ≅ΔGKJ    -------> A A S congruent

Answer:

A. W+ 12 = 6 + W + 6

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

13 mph

Step-by-step explanation:

45.5/3.5 = 13

Answer:

13 mph

Step-by-step explanation:

divide 45.5 by 3.5 to get 13 mph

Answer:

-98

Step-by-step explanation:

simplify both sides

Answer: me but I cant play with anyone

Step-by-step explanation:

Answer:

w =4................?????.

Answer:

$62.32

Step-by-step explanation:

54.19 · 15/100 = 812.85/100 = 8.1285

simplify 8.1285, so it's 8.13

$54.19 + $8.13 = $62.32

Answer:

Johanatho will get in 4.53 hours. joahnathons cousin will take 4.57 hours.

Step-by-step explanation:

340/75=4.53

320/70=4.57

Answer:

It is 25

Step-by-step explanation: 5 10 15 20 25

5*5 =25

Hope this help:)

Answer: $8 and a ratio could be 12 for 8

Step-by-step explanation:

Answer: A.

x*(2/5) = 10

Solve for x.

B.

y*(1/16) = 5

Solve for y

C.

t*(2/17) = 5

solve for t

Step-by-step explanation:

Answer:

A. THERERREREEHUGGG HHHU

Step-by-step explanation:

Length = 5x +4

Breadth = 4x-4

Perimeter = 2(L+B)

Perimeter :

[tex]2(5x + 4 + (4x - 4)) \\ 2(5x + 4 + 4x - 4) \\ 2(5x + 4x + 4 - 4) \\ 2(9x) = 2 \times 9x[/tex]

[tex] = 18x[/tex]