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3 years ago

Which answer choice is a solution to the inequality 1.5x + 3.75≥5.5

Mathematics

2 answers:

djyliett [7]3 years ago

5 0

Answer:

$x \geq \frac{7}{6}$

The value of x is greater than or equal to 7/6

Step-by-step explanation:

$1.5x + 3.75\geq 5.5$

Solve the inequality for x

Subtract 3.75 from both sides

$1.5x + 3.75\geq 5.5$

$1.5x \geq 1.75$

Now divide both sides by 1.5

$x \geq \frac{1.75}{1.5}$

Simplify the fraction by dividing top and bottom by 0.25

$x \geq \frac{7}{6}$

The value of x is greater than or equal to 7/6

Solnce55 [7]3 years ago

4 0

Answer:

1.5 is the answer.

Step-by-step explanation:

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2 years ago

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2 years ago

Which of the following sets of lengths can Sean use to make a right triangle?

Aleks [24]

Answer:

{8 cm, 15 cm, 17 cm}

Step-by-step explanation:

we know that

The length sides of a right triangle must satisfy the Pythagoras Theorem

$c^2=a^2+b^2$

where

c is the greater side (the hypotenuse)

a and b are the legs (perpendicular sides)

Verify each case

case 1) we have

{5 cm, 15 cm, 18 cm}

substitute in the formula

$18^2=5^2+15^2$

$324=250$ ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 2) we have

{6 cm, 12 cm, 16 cm}

substitute in the formula

$16^2=8^2+12^2$

$256=208$ ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 3) we have

{5 cm, 13 cm, 15 cm}

substitute in the formula

$15^2=5^2+13^2$

$225=194$ ----> is not true

therefore

Sean cannot make a right triangle with this set of lengths

case 4) we have

{8 cm, 15 cm, 17 cm}

substitute in the formula

$17^2=8^2+15^2$

$289=289$ ----> is true

therefore

Sean can make a right triangle with this set of lengths

6 0

2 years ago