What is one-fourth of a number,increased by seven in algebraic expression

The tortoise and the hare agree to a re-match. As they begin the race, the tortoise plods along slowly but confidently at 2 ½ mp

Lorico [155]

The tortoise ran a distance of 1.875 miles

The distance traveled or covered is obtained using the relation :

Distance = speed × time

Using the the time it took the hare to reach the finish line:

Time taken = 45 minutes (3/4 hours)

The speed of the tortoise = 2 1/2 mph = 2.5mph

Hence, the distance covered by the tortoise :

(2.5 mph × 3/4 hours) = 1.875 miles

The distance covered by the tortoise is 1.875 miles

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6 0

3 years ago

25% of<br> what number is 21

Sergio [31]

21 is 25% of 84.......

8 0

3 years ago

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Simplify the complex number i^39 as much as possible.

viva [34]

Heres the answerrrr : -i

7 0

3 years ago

Enter the correct answer in the box. solve the equation x2 − 16x 54 = 0 by completing the square. fill in the values of a and b

poizon [28]

The roots of the given polynomials exist $x=8+\sqrt{10}$ , and $x=8-\sqrt{10}$ .

<h3>What is the formula of the quadratic equation?</h3>

For a quadratic equation of the form $a x^{2}+b x+c=0$ the solutions are

$x_{1,2}=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Therefore by using the formula we have

$x^{2}-16 x+54=0$$

Let, a = 1, b = -16 and c = 54

Substitute the values in the above equation, and we get

$x_{1,2}=\frac{-(-16) \pm \sqrt{(-16)^{2}-4 \cdot 1 \cdot 54}}{2 \cdot 1}$$

simplifying the equation, we get

$$&x_{1,2}=\frac{-(-16) \pm 2 \sqrt{10}}{2 \cdot 1} \\$

$$&x_{1}=\frac{-(-16)+2 \sqrt{10}}{2 \cdot 1}, x_{2}=\frac{-(-16)-2 \sqrt{10}}{2 \cdot 1} \\$

$$&x=8+\sqrt{10}, x=8-\sqrt{10}$

Therefore, the roots of the given polynomials are $x=8+\sqrt{10}$ , and

$x=8-\sqrt{10}$ .

To learn more about quadratic equations refer to:

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3 0

1 year ago

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During the fall semester, Marvin, Latoya, and Abdulla each read three sevenths of the library books in the classroom. If Latoya

Romashka-Z-Leto [24]

Answer:

There are 45 library books in the classroom.

Step-by-step explanation:

The problem says that Marvin, Latoya and Abdulla each read 3/7 of the library books in the classroom. If Latoya read 3/7 of the books, we can form a proportion to determine the number of total library books in the classroom.

$\frac{3}{7} =\frac{15}{x}$

To solve for 'x', we can either cross-multiply and divide, or we can multiply the denominator by the same factor as the numerator to get a product of 15. In this case, the same factor would be 5, so 7 x 5 = 35. If we cross-multiply:

3x = (15)(7) or x = 35.

7 0

4 years ago