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3 years ago

What is 11/9/18 as a mixed number in simplest form.

1 answer:

4 0

The answer is 22 because in order to divide fractions (in this case we would have 11 as a fraction), you need to multiply one fraction by the reciprocal of the other fraction (the flipped form of a fraction).

To find this, we would do $\frac{11}{1}$ * $\frac{9}{18}$ .

This would come to be $\frac{198}{9}$ , and when simplified by dividing the numerator and denominator by 9, you get 22.

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If -7x+68=159 what is x

laiz [17]

Answer:X=-13

Step-by-step explanation: Move all terms that don't contain

to the right side and solve. x = −13

6 0

2 years ago

Bonds Payable has a balance of $1,196,000 and Discount on Bonds Payable has a balance of $11,960. If the issuing corporation red

Luden [163]

Answer:

$17,940 gain.

Step-by-step explanation:

The corportation redeems the bond at 97.5.

100 - 97.5 = 2.5%

1,196,000 * 2.5% = 29,900.

29,900 - 11,960 = 17,940

$17,940 gain at redemption.

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2 years ago

A hot-air balloon is 160 ftabove the ground when a motorcycle (traveling in a straight line on a horizontal road) passes dire

Charra [1.4K]

Answer:

73.77 ft/s

Step-by-step explanation:

Let's imagine this situation as a right triangle where the distance between the two points is the hypotenuse.

-Applying Pythagoras theorem:

$z^2=x^2+y^2\\\\z=\sqrt{x^2+y^2}\\\\x=dx*t+x_i, x_i=0\\\\y=dy*t+y_i\\\\y_i=160\ ft$

#Take the derivative of the first equation and solve for $dz$ :

$d(z^2=x^2+y^2)\\\\2z*dz=2x*dx+2y*dy\\\\dz=\frac{x*dx+y*dy}{z}\\\\dz=\frac{x*dx+y*dy}{\sqrt{x^2+y^2}}\\\\\\dz=\frac{dx^2*t+dy(dy*t+160)}{\sqrt{(dx*t)^2+(dy*t)}}$

#We then substitute the values given in the question to solve for $dz$ :

$dz=\frac{7*66^2+14(14*7+160)}{\sqrt{(66*7)^2+7*14+160}}\\\\=73.78$

Hence, the rate of change of the distance between the motorcycle and the balloon 7 seconds later is 73.77 ft/s

3 0

2 years ago

4x + y = 7 3x + 2y = 9

Diano4ka-milaya [45]

Answer:

x = 1

y = 3

Step-by-step explanation:

<h2>Substitution Method:</h2>

Step 1:

Name The Equation

4x + y = 7 ...(1)

3x + 2y = 9 ...(2)

Step 2:

From Equation (1) we get,

4x = 7 - y

i.e.,

x = 7 - y/4

Step 3:

Substitute the value of x = 7 - y/4 in equation (2)

i.e.,

3(7 - y/4) + 2y = 9

21 - 3y/4 + 2y = 9

21 - 3y + 8y/4 = 9

21 - 3y + 8y = 9 * 4

21 + 5y = 36

5y = 36 - 21

5y = 15

y = 15/5

y = 3

Step 4:

Substitute the value of y = 3 in equation (1)

4x + y = 7

i.e.,

4x + (3) = 7

4x + 3 = 7

4x = 7 - 4

4x = 4

x = 4/4

x = 1

<h2>Verification: </h2>

4x + y = 7 i.e., 4(1) + (3) = 7

3x + 2y = 9 i.e., 3(1) + 2(3) = 9

3 0

2 years ago

Can someone pls describe how to do this.. and thank you

luda_lava [24]

Mathematics includes the study of such topics as quantity, structure, space, and change. It has no generally accepted definition. Mathematicians seek and use patterns to formulate new conjectures; they resolve the truth or falsity of such by mathematical proof.

Step-by-step explanation:

Mathematics is the study of numbers, shapes and patterns. The word comes from the Greek word "μάθημα" (máthema), meaning "science, knowledge, or learning", and is sometimes shortened to maths (in England, Australia, Ireland, and New Zealand) or math (in the United States and Canada). ... Numbers: how things can be counted.

Therefore, Mathematics is the abstract study of topics such as quantity (numbers), structure, space, and change!

7 0

2 years ago

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What is ​ 11/9/18 ​ as a mixed number in simplest form.

What is 11/9/18 as a mixed number in simplest form.