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IrinaVladis [17]
3 years ago
9

<

Mathematics
1 answer:
labwork [276]3 years ago
8 0

Answer:

( - \frac{9}{2}, - \frac{41}{2} )

Step-by-step explanation:

Given the 2 equations

8x = 2y + 5 → (1)

3x = y + 7 → (2)

Rearrange (2) expressing y in terms of x by subtracting 7 from both sides.

y = 3x - 7 → (3)

Substitute y = 3x - 7 into (1)

8x = 2(3x - 7) + 5 ← distribute and simplify right side

8x = 6x - 14 + 5

8x = 6x - 9 ( subtract 6x from both sides )

2x = - 9 ( divide both sides by 2 )

x = - \frac{9}{2}

Substitute this value into (3) for corresponding value of y

y = 3 × - \frac{9}{2} - 7 = - \frac{27}{2} - \frac{14}{2} = - \frac{41}{2}

Solution is (- \frac{9}{2}, - \frac{41}{2} )

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He uses a scale of 0.5 centimeter to 1 inch to draw the flag. The length of the scale drawing is 2.5 centimeters, and its width
chubhunter [2.5K]

Answer:

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Step-by-step explanation:

Step 1: Change given centimeters into inches according to the scale

2.5 / .5 = 5 <--- length in inches

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^^^This is the same thing as multiplying 2.5 cm and 4.7 cm by two. You could also reword the scale to be 1 cm = 2 inch if it makes more sense for you

Step 2: Find the perimeter using the formula: P = 2L + 2W

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Answer:

The probability that the truck she selects will have at least one of the two features that Ella Stella wants is 50%.

Step-by-step explanation:

Since a certain store sells small, medium, and large toy trucks in each of the colors red, blue, green, and yellow, and the store has an equal number of trucks of each possible color / size combination, if Stella wants a medium red truck and her mother will randomly select one of the trucks in the store, to determine what is the probability that the truck she selects will have at least one of the two features that Stella wants, the following calculation must be performed:

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Therefore, the probability that the truck she selects will have at least one of the two features that Ella Stella wants is 50%.

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0.4

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Step-by-step explanation:

Hope this helps :)

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