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elena-14-01-66 [18.8K]
4 years ago
7

What is the solution to 9(x-1)=-45

Mathematics
1 answer:
Nana76 [90]4 years ago
6 0

Answer:

X is 4

Step-by-step explanation:

You would distribute 9 to X and -1 to get 9x-9=-45 then you would add 9 to -45 and get 9x=36 then after dividing 9 the answer is 4

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Three vertices of a rectangle are given. Find the coordinates of the fourth vertex.
kykrilka [37]
The distance between (2,5) and (6,1) is:

\sf Distance = \sqrt{\left( 6 - 2 \right)^2 + \left( 1 - 5 \right)^2} \\\\  =\sqrt{ 16 + 16} \\  \\ = \boxed{\bf{4 \sqrt{ 2 } }}

The distance between the fourth vertex and (4,-1) should also be 4√2

The only point that gives us that distance is B. (0,3)

\sf Distance = \sqrt{\left( 4 - 0 \right)^2 + \left( -1 - 3 \right)^2} \\ \\= \sqrt{ 16 + 16} \\  \\ = \boxed{\bf{4 \sqrt{ 2 } }}

Your final answer is B. (0,3)
5 0
3 years ago
Find the elapsed time
liq [111]

Step-by-step explanation:

1.

4:15 p.m. to 5.00 p.m. → 45min

5:00 p.m. to 10:00 p.m. → 5h

Answer: 5h 45min

2.

3:45 a.m. to 4.00 a.m. → 15min

4.00 a.m. to 12:00 p.m. → 8h

Answer: 8h 15min

3.

1:15 p.m. to 2:00 p.m. → 45min

2:00 p.m. 8:00 p.m. → 6h

8:00 p.m. to 8:11 p.m. → 11min

Answer: 6h (45 + 11)min = 6h 56min

4.

2:37 a.m. to 3:00 a.m. → 23min

3:00 a.m. to 3:15 a.m. → 15min

Answer: (23 + 15)min = 38min

5.

11:59 a.m. to 12:00 p.m. → 1min

12:00 p.m. to 1:00 p.m. → 1h

1:00 p.m. to 1:01 p.m. → 1min

Answer: 1h (1 + 1)min = 1h 2min

6 0
3 years ago
Independent Practice
lesya692 [45]
B is the answer to your question
6 0
3 years ago
Read 2 more answers
The perimeter of a triangular field is 84 m, if the ratio of its sides are 13: 14:15, Find the area of the field. *
denis-greek [22]

Answer:

Area = 336\ m^2

Step-by-step explanation:

If the ratio of the sides is 13:14:15, we can say that the length of each side is 13x, 14x and 15x.

Then, if the perimeter is 84 m, we have:

P = 13x + 14x + 15x = 84

42x = 84

x = 2

The length of each side is:

13x = 26\ m

14x = 28\ m

15x = 30\ m

Now, to find the area of the field, we can use the following formula:

Area = \sqrt{p(p-a)(p-b)(p-c)}

Where a, b and c are the sides and p is the semi perimeter:

p = P/2 = 42\ m

So we have that:

Area = \sqrt{42(42-26)(42-28)(42-30)}

Area = 336\ m^2

8 0
3 years ago
One day a store sold 36 sweatshirts. White ones cost​ $10.95 and yellow ones cost $11.50. In​ all, ​$404.65 worth of sweatshirts
Hatshy [7]

Answer:

17 white sweatshirts were sold and 19 yellow sweatshirts were sold.

Step-by-step explanation:

Let <em>w</em> represent the number of white sweatshirts sold and <em>y</em> represent the number of yellow sweatshirts sold.

We can write a system of equations to represent the situation.

Since the store sold a total of 36 sweatshirts, the sum of the white and yellow sweatshirts must total 36. So:

y+w=36

And since each white sweatshirt cost $10.95 and each yellow sweatshirt cost $11.50 and the total profit was $404.65:

10.95w+11.5y=404.65

Solve the system. I'll use substitution this time (though elimination will work just as perfect). From the first equation, subtract <em>w</em> from both sides:

y=36-w

Substitute this into the second:

10.95w+11.5(36-w)=404.65

Distribute:

10.95w+414-11.5w=404.65

Simplify:

-0.55w=-9.35

Divide both sides by -0.55:

w=17

So, 17 white sweatshirts were sold.

Using the modified equation, substitute:

y=36-(17)=19

Therefore, 17 white sweatshirts were sold and 19 yellow sweatshirts were sold.

7 0
3 years ago
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