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REY [17]
3 years ago
15

Addison worked 6 more hours this week than last week. In total, she worked 72 hours this week and last week. Using the equation

2h + 6 = 72, how many hours (h) did Addison work last week?
Mathematics
1 answer:
MArishka [77]3 years ago
5 0

Answer:

h = 33 hours

Step-by-step explanation:

Given that,

Addison worked 6 more hours this week than last week. In total, she worked 72 hours this week and last week.

The equation is :

2h + 6 = 72

We need to find the number of hours

2h = 72 - 6

2h = 66

h = 33

Hence, Adison worked for 33 hours last week.

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2. Given: -2x =4y +62(2y+3) =3x -5What is the solution (x,y)?I
Andrews [41]

this is a 2x2 system of equations.

Let:

-2x = 4y + 6 (1)

and

2(2y+3) = 3x - 5 (2)

Let's rewrite (1) as:

2x + 4y = -6 (1)

and (2) as:

3x - 4y = 11 (2)

Now, from (1)

Let's solve for x:

2x + 4y = -6

Subtract 4y from both sides:

2x + 4y - 4y = -6 - 4y

2x = -6 - 4y

Divide both sides by 2:

2x/2 = (-6 - 4y)/2

x = -3 - 2y (3)

Replacing (3) into (2)

3x - 4y = 11

3(-3 - 2y) - 4y = 11

Using distributive property:

-9 - 6y - 4y = 11

Add like terms:

-10y - 9 = 11

Add 9 to both sides:

-10y - 9 + 9 = 11 + 9

-10y = 20

Divide both sides by -10:

(-10y)/-10 = 20/-10

y = -2

Finally, replace the value of y into (3)

x = -3 - 2y

x = -3 - 2(-2)

x = -3 + 4

x = 1

Therefore the solution is :

x= 1 and y=-2

(x,y) = (1,-2)

7 0
1 year ago
Find the length of the line segment shown. Round your answer to the nearest tenth.
Marina86 [1]

Answer:

d=10

Step-by-step explanation:

Distance Formula: d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Step 1: Define endpoint coordinates

(2, 5)

(-6, -1)

Step 2: Substitute and Evaluate

d=\sqrt{(-6-2)^2+(-1-5)^2}

d=\sqrt{(-8)^2+(-6)^2}

d=\sqrt{64+36}

d=\sqrt{100}

d=10

8 0
3 years ago
A soup recipe calls for 2 pounds of rice for 25 servings. How many pounds are needed for 30 servings?
professor190 [17]

Answer:

12/5 pounds

Step-by-step explanation:

To solve this, let's find out how many pounds of rice are in 1 serving, then multiply this by 30. We get 2/25 pounds of rice in 1 serving, and we can just multiply this by 30 to get 12/5 pounds of rice.

4 0
3 years ago
There are 144 players on 12 teams. How many players are on each team?
Valentin [98]

Answer:

12 players on each team

Step-by-step explanation:

144 players/ 12 teams = 12 players on each team. Hope it helps!

4 0
3 years ago
Read 2 more answers
You need to construct fence around an area of 3136 ft2. What are the dimensions of the rectangular pen that minimize the amount
borishaifa [10]

Answer:

Step-by-step explanation:

The the area of the rectangular pen be A = LW

L is the length

W is the width

Given

A = 3136ft²

3136 = LW..........1

Given the perimeter P = 2L+2W....... 2

From 1; L = 3136/W

Substitute into 2

P = 2(3136/W)+2W

P = 6272/W + 2W

In order to minimize the amount of material needed, then dP/dW = 0

dP/dW = -6272/W² + 2

0 = -6272/W² + 2

6272/W² = 2

cross multiply

6272 = 2W²

W² = 3136

W = √3136

W = 56ft

Since A = LW

3136 = 56L

L = 3136/56

L = 56ft

Hence the dimensions of the rectangular pen that minimize the amount of material needed is 56ft by 56ft

7 0
3 years ago
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