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3 years ago

the equation 2x-7=5+x has exactly one solution true or false ? if false , what is the counter example?

1 answer:

5 0

Decide whether the statement is true or false. If false, provide a counterexample. 1. The equation 2x - 7 = 5 + x has exactly one solution TRUE 2. If x^2 = 16, then x must equal 8 or -8 TRUE 3. February 14 is Valentine's Day TRUE 4. If you visisted the Statue of Liberty, then you've been to New York TRUE 5. A point may lie on at most two lines FALSE A point may lie on more than zero to an infinite number of lines. Write the converse and contropositive of each statement. 6. If you like tennis, then you play on the tennis team FALSE You don't have to. Haha. 7. If x is odd, then 2x is even TRUE 8. If m

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Mr. Romero is buying a cell phone that has a regular price of $649. The cell phone is on sale for 15% off the regular price. Wha

Dafna11 [192]

Answer:

$15 \div 100 \times 649 = 97.35 \\ 649 - 97.35 = 551.65$

therefore the new price is $551.65

6 0

3 years ago

The stopping distance d of an automobile is directly proportional to the square of its speed s. On one road, a car requires 75 f

Anton [14]

Answer:

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

Step-by-step explanation:

Direct proportion means that two quantities increase or decrease in the same ratio

If y is directly proportional to x (y ∝ x) , then $\frac{y_{1}}{y_{2}}=\frac{x_{1}}{x_{2}}$ <em>OR</em> y = k x, where k is the constant of proportionality

∵ The stopping distance d of an automobile is directly

proportional to the square of its speed s

- That means d ∝ s²

∴ $\frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}$

∵ A car requires 75 feet to stop from a speed of 30 miles per hour

∴ d = 75 feet

∴ s = 30 miles/hour

- Change the mile to feet

∵ 1 mile = 5280 feet

∴ 30 miles/hour = 30 × 5280 = 158400 feet/hour

∵ The car require to stop from a speed of 48 miles per hour

on the same road

- Change the mile to feet

∴ 48 miles/hour = 48 × 5280 = 253440 feet/hour

∵ $\frac{d_{1}}{d_{2}}=\frac{(s_{1})^{2}}{(s_{2})^{2}}$

- Substitute the values of $d_{1}$ by 75 feet, $s_{1}$ by 158400 feet/hour

and $s_{2}$ by 253440 feet/hour

∴ $\frac{75}{d_{2}}=\frac{(158400)^{2}}{(253440)^{2}}$

∴ $\frac{75}{d_{2}}=\frac{25}{64}$

- By using cross multiplication

∴ 25 × $d_{2}$ = 75 × 64

- Divide both sides by 25

∴ $d_{2}$ = 192 feet

The car requires 192 feet to stop from a speed of 48 miles per hour on the same road

4 0

3 years ago

Need some help please

katovenus [111]

Answer:

the answer is 40.1 cm

Step-by-step explanation:

$\cos( \alpha ) = adjacent \div hypotenuse$

The adjacent in the triangle is 23cm and the Alpha is 55 degrees, so just insert the formula to find the adjacent which is x .

8 0

3 years ago

This morning, Josh's car had 19.22 gallons of fuel. Now, 5.3 gallons are left. How much fuel did Josh use?

Viefleur [7K]

Answer:

He used 13.92 gallons of gas.

Step-by-step explanation:

19.22-5.3=13.92

3 0

3 years ago

Read 2 more answers

What's the probability of 6 out of 8= ___%

castortr0y [4]

In a fraction, it would be 6/8. In a percent it would be 75%. If you want to know why, here's how:

6/8X100%)multiply 6 over 8 by 100)
Your answer is 75%

4 0

4 years ago

Read 2 more answers