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3 years ago

Twelve and one fourth plus three and one third equals what

Mathematics

2 answers:

Zolol [24]3 years ago

7 0

Answer:

15.5833333333 or 15 7/12

Step-by-step explanation:

When you less simplify 1/4 and 1/3, we get 3/12 and 4/12. So, when you add those two fractions, you get 7/12. Now, we add 12 and 3 to get 15. Hence,

the two fractions given equal to 15 7/12.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

ozzi3 years ago

4 0

Answer:

62/12 or 5 and 2/12

Step-by-step explanation:

twelve × 4=48 3×3=9 you then change the fourths and the thirds into twelfths. by rinsing the top and bottom by how much you need to, in this case 4×3 and 3×4. Now you've got 52/12+12/12, which equals 62/12 or 5 and 2/12

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There are four blue marbles, an unknown number of red (r) marbles, and six yellow marbles in a bag. Which expression represents

MAXImum [283]

Answer:

There are a total of 4 + r + 6 marbles in the bag

The probability of a blue is $\frac{4}{10+r}$

The probability of a red is $\frac{r}{10+r}$

The probability of choosing a blue, replacing it and then a red is

$\frac{4}{10+r}$ × $\frac{r}{10+r}$ = [tex]\frac{4r}{100+20r+ r^{2} /[tex]

Step-by-step explanation:

6 0

3 years ago

The bear lake is 24 miles long. Suppose John starts cycling art one end at 20 m.p.h. and Ramona starts at the other end at 15 m.

Fed [463]

Answer:

24/35 hours or 0.69 hours

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

Let

x-----> distance traveled by John

(24-x) ----> distance traveled by Ramona

The time is equal to divide the distance by the speed

x/20=(24-x)/15

15x=20(24-x)

15x=480-20x

15x+20x=480

35x=480

x=480/35 miles

the time is equal to

t=x/20

t=480/(20*35)=24/35=0.69 hours

8 0

3 years ago

Can someone please help me on number 16-ABC

melomori [17]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the inequality

-2x < 10

-6 < -2x

<u>Part a) Is x = 0 a solution to both inequalities</u>

FOR -2x < 10

substituting x = 0 in -2x < 10

-2x < 10

-3(0) < 10

0 < 10

TRUE!

Thus, x = 0 satisfies the inequality -2x < 10.

∴ x = 0 is the solution to the inequality -2x < 10.

FOR -6 < -2x

substituting x = 0 in -6 < -2x

-6 < -2x

-6 < -2(0)

-6 < 0

TRUE!

Thus, x = 0 satisfies the inequality -6 < -2x

∴ x = 0 is the solution to the inequality -6 < -2x

Conclusion:

x = 0 is a solution to both inequalites.

<u>Part b) Is x = 4 a solution to both inequalities</u>

FOR -2x < 10

substituting x = 4 in -2x < 10

-2x < 10

-3(4) < 10

-12 < 10

TRUE!

Thus, x = 4 satisfies the inequality -2x < 10.

∴ x = 4 is the solution to the inequality -2x < 10.

FOR -6 < -2x

substituting x = 4 in -6 < -2x

-6 < -2x

-6 < -2(4)

-6 < -8

FALSE!

Thus, x = 4 does not satisfiy the inequality -6 < -2x

∴ x = 4 is the NOT a solution to the inequality -6 < -2x.

Conclusion:

x = 4 is NOT a solution to both inequalites.

Part c) Find another value of x that is a solution to both inequalities.

<u>solving -2x < 10</u>

$-2x\:$

Multiply both sides by -1 (reverses the inequality)

$\left(-2x\right)\left(-1\right)>10\left(-1\right)$

Simplify

$2x>-10$

Divide both sides by 2

$\frac{2x}{2}>\frac{-10}{2}$

$x>-5$

$-2x-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-5,\:\infty \:\right)\end{bmatrix}$

<u>solving -6 < -2x</u>

-6 < -2x

switch sides

$-2x>-6$

Multiply both sides by -1 (reverses the inequality)

$\left(-2x\right)\left(-1\right)$

Simplify

$2x$

Divide both sides by 2

$\frac{2x}{2}$

$x$

$-6$

Thus, the two intervals:

$\left(-\infty \:,\:3\right)$

$\left(-5,\:\infty \:\right)$

The intersection of these two intervals would be the solution to both inequalities.

$\left(-\infty \:,\:3\right)$ and $\left(-5,\:\infty \:\right)$

As x = 1 is included in both intervals.

so x = 1 would be another solution common to both inequalities.

<h3>SUBSTITUTING x = 1</h3>

FOR -2x < 10

substituting x = 1 in -2x < 10

-2x < 10

-3(1) < 10

-3 < 10

TRUE!

Thus, x = 1 satisfies the inequality -2x < 10.

∴ x = 1 is the solution to the inequality -2x < 10.

FOR -6 < -2x

substituting x = 1 in -6 < -2x

-6 < -2x

-6 < -2(1)

-6 < -2

TRUE!

Thus, x = 1 satisfies the inequality -6 < -2x

∴ x = 1 is the solution to the inequality -6 < -2x.

Conclusion:

x = 1 is a solution common to both inequalites.

7 0

3 years ago

White a multiplication equation and a division equation that compare the number of points derek acored durin game 1(x) to the nu

Juli2301 [7.4K]

The correct question is:

The graph attached shows the number of points Derek scored

during his first five basketball games.

Write a multiplication equation and a division equation that compare the number of points Derek scored during Game 1 (x) to the number of points Derek scored during Game 4 (y).

Answer:

Multiplication equation is y = 3x

Division equation is x = y/3

Step-by-step explanation:

During Game 1, Derek had 6 points

Let x be this point, that is

x = 6

During Game 4, he had 18 points

Let y be this point, that is

y = 18

Notice that he has three times as many point in Game 4 as he had in Game 1. (Because 18 is 6 × 3)

This can be written mathematically as

18 = 6 × 3

y = x × 3 (where y is 18, and x is 6)

y = 3x (this is multiplication equation)

If you divide both sides by 3, we have

x = y/3 (this is the division equation)

4 0

3 years ago

What is the length of s?

Serggg [28]

Answer:

Step-by-step explanation:

We will use trigonometry to solve this problem.

We see that the side provided is the hypotenuse and the side we are looking for is opposite to the angle provided. Thus, we will use sin since sin uses opposite/hypotenuse.

Now we solve.

sin45 = x/14

sin45 * 14 = x

x = 9.899494936611665

6 0

3 years ago