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4 years ago

Which pair of measurements is not equivalent?

Mathematics

1 answer:

Bingel [31]4 years ago

6 0

Answer:

750 mm, 7.5 cm

Step-by-step explanation:

Verify each case

case a) 2.5 km, 2,500 m

we know that

1 km ------> 1.000 m

2.5 km=2,500 m

therefore

The pair of measurements is equivalent

case b) 750 mm, 7.5 cm

we know that

1 cm ------> 10 mm m

7.5 cm=75 mm

therefore

The pair of measurements is not equivalent

case c) 3 m, 3,000 mm

we know that

1 m ------> 1.000 mm

3 m=3,000 mm

therefore

The pair of measurements is equivalent

case d) 120 cm, 1.2 m

we know that

1 m ------> 100 cm

1.2 m=120 cm

therefore

The pair of measurements is equivalent

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Place ( ) symbols in this problem to make a true statement: 4 + 5 × 2 = 18

yanalaym [24]

Answer:

(4+5)*2

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5 0

3 years ago

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What is the maximum area for a rectangle whose perimeter is 48 meters?

MakcuM [25]

Answer:

12m²

Step-by-step explanation:

For a rectangle, with length L and width W,

the perimeter is given as

Perimeter,

P = (2 x Length) + (2 x Width)

P = 2L + 2W

It is given that the perimeter is 48, hence

48 = 2L + 2W (divide both sides by 2)

24 = L + W

L = 24 - W -----> eq 1

Also realize that the Area of a Rectangle is given by

A = L x W -----> eq 2

Substituting eq 1 into eq 2,

A = (24 - W) x W

A = -W² + 24W

Recall that for a quadratic equation y = ax² + bx + c, the maxima or minima is given by y(max) = -b/2a

In this case, b = 24 and a = -1

-b/2a = -24/[ 2(-1) ] = 12

Hence for A to be maximum A(max) = 12m² (Answer)

5 0

3 years ago

Complete the expressions to find the perimeter PP of a rectangle that is 7 inches long by 5 inches wide.

neonofarm [45]

PP = 2L + 2W. Here, PP = 2(7 inches) + 2(5 inches) = 24 inches.

7 0

3 years ago

Zhao Xue wants to buy milk and yogurt. She wants to buy a total of at least 6.5 gallons of dairy products (condition A), and she

Marta_Voda [28]

Answer: The answer is (D). Zhao Xue doesn’t have enough money left to buy any yofurt

Step-by-step explanation: Given that Zhao Xue is buying buy milk and yogurt, a total of at least 6.5 gallons of dairy products and she has a budget of $20. The given graph represents the constraints on the number of gallons of milk 'M' and yogurt 'Y' Zhao Xue buys. Zhao Xue buys 4 gallons of milk. We need to calculate the number of gallons of yogurt she can buy to meet both her constraints.

From the graph, we can write

Condition A :

$M+Y\geq 6.5.$

Condition B :

$8M+5Y\leq40.$

Now, if she buys 4 gallons of milk, the the conditions become

$4+Y\geq 6.5~~\Rightarrow Y\geq 2.5,\\\\8\times 4+5Y\leq 40~~\Rightarrow Y\leq 1.6.$

Here, there will be no solution to these constraints.

Therefore, she does not have enough money left to buy any yogurt.

Thus, the correct option is (D).

3 0

4 years ago

Pls Help!!!!! I will pick the brainiest answer as well. ;)

denpristay [2]

Answer:

Step-by-step explanation:

20+4=24 24+25=49

6 0

3 years ago