Find the measure of each numbered angle

Answer:

5x + 2y = 7

3x � y = 2

multiply the second equation by 2 and leave the first equation as is to get:

5x + 2y = 7

6x � 2y = 4

add the second equation to the first equation to get:

11x = 11

divide both sides of that equation by 11 to get:

x = 1

replace x with 11 in the first original equation to get:

5x + 2y = 7 becomes 5 + 2y = 7

solve for y to get y = 1

your solution is x = 1 and y = 1

confirm by replacing x and y with 1 and 1 in both original equations to get:

5x + 2y = 7 becomes 5 + 2 = 7 which is true.

3x � y = 2 becomes 3 - 1 = 2 which is true.

Step-by-step explanation:

Given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solution. Show why this is true by solving the system of equations given. Justify the reason for each step. HINT: Use addition property of equality and multiplication property of equality in your answers.

5x + 2y = 7

3x � y = 2

A1. To solve the system using elimination, first multiply the bottom equation by 2. Write the new system of equations.

B1. Why is this multiplication allowed?

C1. What variable will be eliminated when the equations are combined after the multiplication?

D1. Next, add the equations together. Your answer should be a single equation with one variable.

E1. Why can you add the equations?

F1. Solve the equation for x.

G1. Substitute x back into one of the equations to solve for y.

H1. What is the solution to the system of equations?

Answer:

20 hours

Step-by-step explanation:

52/8 = $6.5/hour

130 / 6.5 = 20

20 hours

Answer:

Noah types faster because he can type more words per minute.

Step-by-step explanation:

For Andre you would divide 208 words by 4 minutes getting 52 words per minute. Then, for Noah divide 342 words by 6 minutes getting 57 words per minute.

Answer:

[tex]Cranberry:Apple:Orange = 7:5:8[/tex]

Step-by-step explanation:

Given

[tex]Apple = 1/4[/tex]

[tex]Orange = 2/5[/tex]

Required

Determine the ratio of Cranberry to Apple to Orange

First, we calculate the fraction of Cranberry using:

[tex]Cranberry + Apple + Orange = 1[/tex]

Substitute values for Apple and Orange

[tex]Cranberry + 1/4+ 2/5= 1[/tex]

Collect Like Terms

[tex]Cranberry = 1- 1/4- 2/5[/tex]

Take LCM

[tex]Cranberry = \frac{20 - 5 - 8}{20}[/tex]

[tex]Cranberry = \frac{7}{20}[/tex]

The ratio is then represented as:

[tex]Cranberry:Apple:Orange = 7/20:1/4:2/5[/tex]

Multiply through by 20

[tex]Cranberry:Apple:Orange = 20(7/20:1/4:2/5)[/tex]

[tex]Cranberry:Apple:Orange = 20*7/20:20*1/4:20*2/5[/tex]

[tex]Cranberry:Apple:Orange = 7:5:8[/tex]

Answer:

6x-5=12 +5

6x=17 :6

x=2.8333333333

Step-by-step explanation:

prove me wrong

Answer:

where is the table by the way

Well, we know standard form of quadratic equation : ax² + bx + c where,

a = Coefficient of x²

b = Coefficient of x

c = Constant term

We also equation for determinant :

⇒ b² - 4ac

Here, if value of determinant i.e. (b² - 4ac) = A perfect Square, then we can understand that the givdn equation is factorisable.

But, if the value of (b² - 4ac) ≠ A perfect square, then it will be considered as "Not factorisable"

Now let's calculate whether the equation is factorisable or not :

Comparing the given equation with ax² + bx + c, we get :

a = 1

b = -3

c = -54

Putting values in the determinant equation :

⇒ (-3)² - 4(1 × -54)

⇒ 9 + 216

⇒ 225

⇒ 15²

So, determinant = A perfect square

That means the given equation is factorisable.

Now let's factorize with by middle term splitting :

⇒ x² - 3x - 54

⇒ x² -(9 - 6)x - 54

⇒ x² - 9x + 6x - 54

⇒ x(x - 9) + 6(x - 9)

⇒ (x + 6)(x - 9) [Required Solution]

Hence, we get our required solution.

Hope this Helps (✿◡‿◡)

Answer:

If the spinner has an odd number of numbers on it, the probability of spinning an odd number will vary. For instance, if there are 3 spaces on the spinner, the probability of spinning an odd number will be 23 . However, if there are 11 spaces, the probability will be 611

Answer:

There are 38 girls, 57;32

Step-by-step explanation:

57 divided by 3 is equal to 19

19 multiplied by 2 is equal to 38

Answer:

There are two possible solutions for [tex]g(x)[/tex]:

[tex]g(x) = (x+3)^{2}-5[/tex]

[tex]g(x) = x^{2}-3\cdot x +4[/tex]

Step-by-step explanation:

From statement, we understand that [tex]g(x)[/tex] is defined by the following operation:

[tex]g(x) = f(x) +5[/tex] (1)

If we know that [tex]f(x) = (x+3)^{2}-10[/tex], then [tex]g(x)[/tex] is defined by:

[tex]g(x) = (x+3)^{2}-10+5[/tex]

[tex]g(x) = (x+3)^{2}-5[/tex]

[tex]g(x) = x^{2}-3\cdot x + 9 -5[/tex]

[tex]g(x) = x^{2}-3\cdot x +4[/tex]

Answer:

There are two possible solutions

Step-by-step explanation:

Answer:

= 12n + 19

Step-by-step explanation:

Answer:

7 he gets 7 becuse he only did 7#43/6/h

Step-by-step explanation:

Answer:

61

Step-by-step explanation:

8-(36/9)+99-(6x7)

8-4+99-42

4+57

Answer:

11

Step-by-step explanation:

For this, we need to follow PEMDAS (Parenthesis, exponent, multiply/divide, add/subtract). First, we do the parenthesis, this gets us 8 - 4 + 49 - 42. Since this is all addition/subtraction, we do it from left to right. 8-4 is 4. Now our equation is 4 + 49 - 42. 4 + 49 is 53. Now our equation is 53 - 42. That is 11. That means our answer is 11.

Answer:D

Step-by-step explanation: the average of the 30 stocks in the Dow Jones increased

Answer:

A. 9

Step-by-step explanation:

A P E X

Answer:

The equation represents this situation and its solution are m + 68 = 185; m = 117 ⇒ A

Step-by-step explanation:

Let us solve the question

∵ Joanna is driving 185 miles to visit her family

∴ The total distance she is driving = 185 miles

∵ She drives 68 miles in the morning

∴ d[tex]_{M}[/tex] = 68 miles

∵ She stops for lunch and then drives the rest of the distance

∵ m represents the number of miles she drove after lunch

∴ d[tex]_{L}[/tex] = m miles

∵ d[tex]_{L}[/tex] + d[tex]_{M}[/tex]  = the total distance she is driving

∴ m + 68 = the total distance she is driving

∵ The total distance she is driving = 185 miles

∴ m + 68 = 185

∴ The equation represents this situation is m + 68 = 185

→ To solve the equation subtract 68 from both sides

∵ 68 - 68 + m = 185 - 68

∴ m = 117 miles

∴ The solution is m = 117

Answer:

Slope for AB is 0

Step-by-step explanation:

Y=b

Y = -2

Y= y-intercept because there is no slope so y=b instead of y=mx+b

Answer:

Sale price of the watch = $60

Step-by-step explanation:

Given that:

Cost of the watch at Macy's = $150

Discount on watch = 60%

Amount of discount = 60% of cost

Amount of discount = [tex]\frac{60}{100}*150[/tex]

Amount of discount = 0.60*150 = $90

Price after discount = 150-90

Price after discount  = $60

Hence,

Sale price of the watch = $60

Answer:

ur answer would be 4.

Answer:

The ordered pair for point A is (-2, 0). For point B, move to the right 4 units to get an x-coordinate of 4, then move down 3 units to get a y-coordinate of -3. The ordered pair for point B is (4, -3). For point C, move to the right 3 units to get an x-coordinate of 3, then move up 5 units to get a y-coordinate of 5.

Step-by-step explanation:

hope this helps

Answer:

(-2, -3)

Step-by-step explanation:

Answer:

A

A

Step-by-step explanation:

8) because of the rules of angles we know that all angles found on a line are equal to 180 degrees, and all angles opposite one another are equal. because of this A is not possible. 90 and 40 do not add up to 180 degrees, and are not equivalent to each other.

9) using the same rules as above, we know that the two angles have to add up to 180 degrees (they can't be equal this time). A is not possible.

Answer:

That doesn't make sense to me but what does O means?

Step-by-step explanation:

Well maybe its 2.2.2.2.2.2.2

Answer:

if ur rounding then its 2.2.2.2.2.2.2

Step-by-step explanation:

Answer:

= $963.65

Step-by-step explanation:

Value of stock = value of the stock at the time it was bought x ( 1 + average rate of increase)^number of years

$675 x [1 + (12 + 3/5% ) ]^3 =

$675 x ( 1 + 0.126)^3 = $963.65

Answer:

I'm gonna go with D

Step-by-step explanation:

If it's wrong meh bad

Step-by-step explanation:

From this figure I think the answer is c

Answer:

C

Step-by-step explanation:

sinθ=[tex]\frac{2}{5}[/tex]

θ=sin⁻¹ ( [tex]\frac{2}{5}[/tex] )

θ=23.57817848

2θ=47.15635696

sin2θ=sin(47.15635696)=0.7332121112°≈ ((4[tex]\sqrt{21}[/tex])/25)