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3 years ago

What is 10/4 as a mixed number

2 answers:

8 0

We have 4 parts in one whole when we split it into fourths; in other words, 4/4 = 1 whole. To convert 10/4 to a mixed number, we first need to find out how many wholes can fit into it. In this case, we can break 10/4 down into

$\frac{4}{4}+ \frac{4}{4}+ \frac{2}{4}$

Giving us 2 wholes and 2 fourths, or 2 2/4 as a mixed number. Note that 2/4 is the same as 1/2, so we can write the simplified mixed number as 2 1/2

Nadya [2.5K]3 years ago

6 0

10/4 = 2 2/4 = 2 1/2

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Solve for x, and angle c

patriot [66]

9514 1404 393

Answer:

x = 12.75

∠C = 51.75°

Step-by-step explanation:

The two marked angles are complementary, so ...

(5x -12) +(3x) = 90

8x = 102

x = 102/8

x = 12.75

C = (5x -12)° = (5(12.75) -12)°

∠C = 51.75°

Check

E = 3x = 38.25, then C+E = 51.75 +38.25 = 90 . . . . as it should

5 0

3 years ago

Roger earns $24 a week mowing lawns. he spends 1/6 on lunch and 2/3 on music. He saves the rest. How many dollars does Roger sav

Delvig [45]

Alright so you have $24 dollars. 1/6 of 24 is 4 so now you have $20 dollars left. 2/3 of 20 is 13.333. So you subtract 13.333 from 20 to get a final anwser of 6.6666666667 dollars that roger saved. Hope i could help.

5 0

3 years ago

Read 2 more answers

Can anyone help me, please?

ololo11 [35]

Answer:

So first plot the points then move it the way ( x-3, y-4)

remember for the x axis you slide left to right and we know that left is negative so you would go left 3 times and for y you would go down 4 times do it for each point.

5 0

3 years ago

suppose 10 deer are traveling together. if 4 of them are does and 3 are fawns, what fraction represents the number of bucks? wri

e-lub [12.9K]

Answer:

3/10

6/20

Step-by-step explanation:

We need to find the number of bucks

4 does + 3 fawns + x bucks = 10

4 + 3 +x = 10

7+ x = 10

Subtract 7 from each side

x = 3

There are 3 bucks

3/10 is the fraction of bucks

Multiply the top and bottom by 2

3/10 * 2/2 = 6/20 is an equivalent fraction

7 0

3 years ago

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The standard form of a quadratic equation is given as y=ax^2+bx+c and vertex form is given as y=a(x−h)^2+k. Write a formula that

Tju [1.3M]

Answers:

$h = -\frac{b}{2a}\\\\k = \frac{-b^2+4ac}{4a}\\\\$

where 'a' cannot be zero.

=========================================================

Explanation:

The vertex is (h,k)

The x coordinate of the vertex is h which is found through this formula

$x = -\frac{b}{2a}$

For example, if we had the quadratic $y = 3x^2-6x+5$ , then we'll plug in a = 3 and b = -6 to get: $h = -\frac{b}{2a} = -\frac{-6}{2*3} = 1$

------------

To find the value of k, we plug that h value into the original standard form of the quadratic and simplify.

$y = ax^2+bx+c\\\\k = ah^2+bh+c\\\\k = a\left(\frac{-b}{2a}\right)^2+b\left(\frac{-b}{2a}\right)+c\\\\k = a*\frac{b^2}{4a^2}+\frac{-b^2}{2a}+c\\\\k = \frac{b^2}{4a}+\frac{-b^2}{2a}+c\\\\$

$k = \frac{b^2}{4a}+\frac{-b^2}{2a}*\frac{2}{2}+c*\frac{4a}{4a}\\\\k = \frac{b^2}{4a}+\frac{-2b^2}{4a}+\frac{4ac}{4a}\\\\k = \frac{b^2-2b^2+4ac}{4a}\\\\k = \frac{-b^2+4ac}{4a}\\\\$

It's interesting how we end up with the numerator of $-b^2+4ac$ which is similar to $b^2-4ac$ found under the square root in the quadratic formula. There are other ways to express that formula above. We need $a \ne 0$ to avoid dividing by zero. The values of b and c are allowed to be zero.

7 0

3 years ago