Step-by-step explanation: First you have to find a common denominator between these two mixed numbers. That basically means that you have to convert them so that they both have the same denominator, that way they can be compared to one another. The easiest way to do this is to just multiply the denominators. 5 x 7 = 35. I will use 35 as my denominator. Then you multiply the numerators by the same number that you multiplied the denominator by to get 35. Since 7 x 5 = 35, 5 x 5 = 25. Same with the second fraction. 5 x 7 = 35. 4 x 7 = 28. The mixed numbers we have are now 3 and 25/35 and 2 28/35. To figure out how much farther Mark jogged we just take his distance, and subtract his sister's distance from it. 3 25/35 minus 2 28/35 = 32/35.

3 0

3 years ago

In a factory a test run over 400 computer chips resulted in 8 defective one how many possible out comes are there

aleksandrvk [35]

Answer:

392

Step-by-step explanation:

8 0

3 years ago

Help me plz plz!! It's due tomorrow will Mark u as BRAINLIEST

Natali5045456 [20]

Answer: Mean(Mia)=34.33 Mean(Sophia)=35.667

Sophia's phone calls on average, are longer in length than Mia's phone calls.

Step-by-step explanation:

7 0

3 years ago

Find the estimates of x^2-x-2=3

Julli [10]

Answer:

$x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79$

Step-by-step explanation:

Given

Quadratic equation is

$x^2-x-2=3\\x^2-x-5=0$

Roots of the quadratic equation $ax^2+bx+c=0$ are

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\$

So, for the given equation roots are

$x=\frac{1\pm\sqrt{(-1)^2-4(1)(-5)}}{2\cdot 1}\\x=\frac{1\pm\sqrt{21}}{2}\\so, x=\frac{1+\sqrt{21}}{2}\approx 2.79\\or\ x=\frac{1-\sqrt{21}}{2}\approx -1.79$

5 0

3 years ago