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natali 33 [55]
2 years ago
15

Question 1 (3 points)

Mathematics
1 answer:
rewona [7]2 years ago
6 0

Answer:

Step-by-step explanation:

hello : y = -2x - 5

          y = 2/3x + 3

means :  -2x-5 = 2/3 x+3

-6x-15 = 2x +9

-8x=24   so : x = -3

put the value for : x in the first equation :y = -2(-3)-5  =1

the  ordered pair (-3;1) is solution

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Solve the following system of equations by the substitution method. 2x = 10y - 8 3x + 4y + 5 = 0
Natali [406]

Answer:

x = -\frac{41}{19}

y = \frac{7}{19}

Step-by-step explanation:

2x = 10y - 8

3x + 4y + 5 = 0

2x = 10y - 8

x = 5y - 4

3x + 4y + 5 = 0

3 ( 5y - 4 ) + 4y + 5 = 0

19y - 7 = 0

19y = 7

y = \frac{7}{19}

x = 5y - 4

x = 5 ( \frac{7}{19} ) - 4

x = -\frac{41}{19}

5 0
3 years ago
If a machine produces 15 screws per​ minute, how many screws will it produce in 22 ​hours?
Sindrei [870]
15 × 60 = 900
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The answer is 19800 screws
5 0
3 years ago
What’s the area of this figure?
11Alexandr11 [23.1K]

Answer:

13 sq cm.

Step-by-step explanation:

To find the area of this irregular figure, we will need to find the areas of a rectangle and triangle within this figure.

To find the area of the rectangle, we can simply do:

1 × 4= 4  sq cm.

Now, this is where it gets a little trickier. To find the area of the triangle, we will first need to determine the base and height.

We can see from the diagram that to find the base, we need to subtract:

7-4= 3 cm. This is the base of ONLY the triangle.

To find the height, we will need to do:

5+1= 6 cm. This is the total height of the entirety of the triangle.

We can now use the Triangle Area formula: \frac{1}{2}(bh), to calculate the area of the triangle.

\frac{1}{2} (6*3)= 9 sq cm.

Finally, add the areas of the rectangle and triangle together, giving you:

9+4= 13 sq cm.

3 0
4 years ago
A store has 7 red shirts, 15 black shirts, 13 white shirts, and 5 green shirts. Select the portion of the shirts that are black.
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Answer:

g

Step-by-step explanation:

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3 years ago
Apply the distributive property to create an equivalent expression −9⋅(5j+k)=
Dvinal [7]

Answer:

-45j - 9k

Step-by-step explanation:

Multiply -9 and 5j first to get -45j

Multiply -9 and k to get -9k

4 0
3 years ago
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