A moneylender’s income decreased by $60 When the rate of interest dropped from 8% per annum to 7 3/4 % per annum . What was his principal?

Answer:

This is a really simple example, but imagine you had two marbles in a bowl. One is blue and one is green. Without looking, you reach into the bowl and pick one marble. What is the probability that the marble is blue?

There are two total marbles and you pick one, with one being blue and one being green. The probability that you pick the blue marble instead of the green marble is 1/2. The 2 represents the total number of marbles and the 1 represents the favorable outcome of drawing a blue marble.

Hope this helps!

x = -7

hope this helps!

Answer:

54 - (2n)

Step-by-step explanation:

First you take 54

Then its says to “decrease (said number: 54) by twice a number”

Decrease meaning “take away/remove”.

So you subtract 54 by 2 —> 54 - 2

But then, the important line comes along, “Use the variable n to represent the unknown number.

This mean that ”n”, multiplied by two is what the number: 54 is being deceased by.

So your answer is —> 54 - (2n)

Answer:

54 - 2n

Step-by-step explanation:

54 - 2n

Answer:

answer = 1/8

Step-by-step explanation:

answer = 1/8

Answer:

Y = X times 0.28

Step-by-step explanation:

1. You set it up as a proportionality

12/1 and 3.36/x

The x stands for how much money it takes to get 1 ounce

2. You do the old man line.

12 times x = 3.36 times 1

12x = 3.36

3. Now you divide 3.36 by 12

3.36 divided by 12

.28

4. You insert 0.28 into the problem

12 times 0.28 = 3.36

X = 0.28

So 1 ounce costs $0.28

So Y = X times 0.28

Answer:

Step-by-step explanation:

Answer:

V = 113.1

Step-by-step explanation:

V= 4/3 π r^3

V= 4/3 x 3.14 x 3^3

V= 4.19 x 27

V= 113.13

rounded to 113.1

In this question all the required information is given so we'll simply have to solve.

[tex]\large\boxed{\bold{V= \ \frac{4}{3}\pi{r}^{3}}}[/tex]

Let's substitute the values according to the formula.

[tex]\bold{ V= \frac{4}{3}×\pi×{3}^{3}}[/tex]

[tex]\bold{=113.0973355 \ {m}^{3}}[/tex]

Now, we can round off to the nearest tenth.

If the value in hundredths place is greater than 5 you'll have to round up. If not you'll have to keep it as it is.

In this, the value in hundredths place is greater than 5 so we'll have to round up by adding 1 to the tenths place.

[tex]\large\boxed{\bold{V= 113.1 \ {m}^{3}}}[/tex]

Therefore, the volume of the given sphere is 113.1 cubic meters.

Answer:

6

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(29-11)/(5-2)

m=18/3

m=6

she got a 110 score

explanation: sorry ignore just had to do 20 characters

Equivalent expressions are expressions that have the same value, and can be used interchangeably.

The result of the sum [tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex] is [tex]4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})[/tex]

The expression is given as:

[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex]

Rewrite the expression as:

[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (\sqrt[3]{2^4x^3y}) + 4 (\sqrt[3]{3^3 \times 2x^6y^5})[/tex]

Evaluate the roots

[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 2 (2x\sqrt[3]{2y}) + 4 (3x^2y\sqrt[3]{2y^2})[/tex]

Open the brackets

[tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5}) = 4x\sqrt[3]{2y} + 12x^2y\sqrt[3]{2y^2})[/tex]

The above expression cannot be further simplified.

Hence, the result of the sum [tex]2 (\sqrt[3]{16x^3y}) + 4 (\sqrt[3]{54x^6y^5})[/tex] is [tex]4x\sqrt[3]{2y} + 8x^2y\sqrt[3]{2y^2})[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

The sum of the expression is [tex]4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex].

We have to determine, the sum of the given expression.

According to the question,

Expression; [tex]2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})[/tex]

To determine the sum of the given expression following all the steps given below.

Rewrite the expression term in the form of their cubes,

[tex]\rm = 2(\sqrt[3]{16x^3y} +4(\sqrt[3]{56x^6y^5})\\\\ = 2(\sqrt[3]{2^4x^3y} +4(\sqrt[3]{3^3 \times 2 \times x^6y^5})\\\\= 2\times 2(\sqrt[3]{x^3y} +4\times 3(\sqrt[3]{ 2 \times x^6y^5})\\\\= 4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\\\=4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex]

Hence, The sum of the expression is [tex]4 (\sqrt[3]{x^3y} +12x^2y(\sqrt[3]{ 2 y^2})\\[/tex].

For more details refer to the link given below.

https://brainly.com/question/21798224

Answer:

Step-by-step explanation:

Answer:

4x+2.5+2.5+3+3=2x+2.5+3+3+3 AND 4x+5+6=2x+2.5+6

Step-by-step explanation:

Answer:

5.125, 5.14, ¹⁰³/₂₀, 5²/₉

Step-by-step explanation:

When you convert 103/20 to decimal you get 5.15 which is greater than 5.125 and 5.14.

When you convert 5²/₉ to fraction you get ⁴⁷/₉ which when converted to decimal is 5.222 which is greater than 5.125, 5.14 and 5.15.

Answer:

C :3

Step-by-step explanation:

Whenever our simplification of a linear equation ends in a true statement, in this case 6=6, then our linear equation has infinitely many solutions.

Therefore, our answer is C.

even if we don’t know what x is we’ll still get an infinite amount of solutions

HOPE THIS HELPED :DDDD

Answer:

7

Step-by-step explanation:

3x - y = 1

2x + 2y = 14

x = 2

y =  5

x + y = 2 + 5 = 7

Answer:

7) r = -4

8) n = 1

9) x = 2

Step-by-step explanation:

Problem 7

Here, we have the equation 5 + 3r + 6 = -1. It looks like we need to solve for r, so let's go ahead and start by adding the constants 5 and 6.

5 + 3r + 6 = -1

3r + 11 = -1

Next, let's remove 11 from both sides to isolate r.

3r = -12

Finally, we can divide both sides by 3 to find the value of r.

r = -4

Problem 8

In this equation, it looks like we have to solve for n: -n + 2 + 3n = 4. So, let's start by combining like terms (-n and 3n).

-n + 3n + 2 = 4

2n + 2 = 4

Next, we can remove 2 from both sides to isolate r.

2n = 2

And finally, we can divide both sides by 2.

n = 1

Problem 5

This equation is a little trickier since we have a fraction. To remove this fraction, we can multiply both sides by 4.

(-6 + x)/4 = -1

4 × (-6 + x)/4 = 4 × -1

4/4 × (-6 + x)/1 = -4

-6 + x = -4

Finally, let's add 6 to both sides.

x = 2

Answer:

[tex]x=\frac{10y-27}{5\left(-2+y\right)};\quad \:y\ne \:2[/tex]

Step-by-step explanation:

First, you have to simplify [tex]\frac{-7}{5(x-2)}[/tex] to become [tex]-\frac{-7}{5(x-2)}[/tex]

Next, you multiply both sides by [tex]5(x-2)[/tex] to make [tex]y\cdot \:5\left(x-2\right)-2\cdot \:5\left(x-2\right)=-\frac{7}{5\left(x-2\right)}\cdot \:5\left(x-2\right)[/tex]

After that, you need to simplify again to become [tex]y\cdot \:5\left(x-2\right)-10\left(x-2\right)=-7[/tex]

Now, expand [tex]5(x-2)-10(x-2)[/tex] to become [tex]5xy-10y-10x+20=-7[/tex]

Then, add 10y to both sides [tex]5xy-10y-10x+20+10y=-7+10y[/tex]

Next, you simplify to create [tex]5xy-10x+20=-7+10y[/tex]

After that, subtract 20 from both sides to make [tex]5xy-10x+20-20=-7+10y-20[/tex]

Now, simplify again to get [tex]5xy-10x=10y-27[/tex]

Next, factor [tex]5xy-10x[/tex] to get [tex]5x(y-2)[/tex]

Finally, divide both sides by [tex]5(y-2)[/tex] to get [tex]\frac{5x\left(y-2\right)}{5\left(y-2\right)}=\frac{10y}{5\left(y-2\right)}-\frac{27}{5\left(y-2\right)};\quad \:y\ne \:2[/tex]

If you did it right your final answer should be [tex]x=\frac{10y-27}{5\left(-2+y\right)};\quad \:y\ne \:2[/tex]

Hope this helps explain it!

Answer:

3^2

3^4

3^6

Step-by-step explanation:

9 is actually 3^2, so you have the first one wrong.

The second one is correct, but the third one is not

Since 9 is 3^2, you can write that as (3^2)^3, which is 3^6.

Answer:

9

Step-by-step explanation:

ED: DC = 3:1

AB : BC = 3:1

AB: 3 = 9

Answer:

AB = 9

Step-by-step explanation:

Tale's theorem

[tex]\frac{12}{4} =\frac{AB}{3}[/tex]

[tex]AB=\frac{(12)(3)}{4} =\frac{36}{4} =9[/tex]

Hope this helps

Answer:

5 / 13 is the fraction of girls on the field trip

5/13 * 130 = 50 girls on the trip

Or 10 groups of 13 and each group of 13 had 5 girls giving a total of

5 * 10 = 50 girls

Answer:

Shift "h" units to the right, "k" units up, and reflect over the x or y axis when needed.

Step-by-step explanation:

1) I want to talk about reflections first.

2) Rigid transformations

Example (check image for visual)

We transform [tex]y = x^2[/tex] to [tex]y = -(-x-3)^2+3[/tex] , you move right 3, then reflect across the x-axis, then reflect across y-axis, then move 3 up.

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

Note: In the image, the red line is the original function, the blue one is the transformed function. See if you can follow along with the verbal instructions I gave above.

Answer:

Step-by-step explanation:

x=2,−5,5

if any doubt leave a comment

Give BRAINLIEST

Answer:

Step-by-step explanation:

I just did this question and it is 100% correct

I got the answer and steps for this math problem,

Answer:

[tex]5 \times - 13 = 2 \times - 9 - 4 + 3 \times \\[/tex]

= 1 5/9 or 1 .5555556.

Step-by-step explanation:

Please comment if I'm

wrong...

Answer: Check explanation.

Step-by-step explanation: I think its 0. Not sure. Hope this helped!

Answer:

x = 5

Step-by-step explanation:

Thales' theorem

[tex]\frac{9}{3} =\frac{15}{x}[/tex]

[tex]x=\frac{(15)(3)}{9} =\frac{45}{9} =5[/tex]

hope this helps

Answer:

An Ojibwe event in which women of all ages run, bike and canoe.

Step-by-step explanation:

Answer:

71°

Step-by-step explanation:

well you can tell based off the 2 sides that are 21 units each that this triangle is isosceles, that means the 2 base angles are the same.

so 2x°+38°=180°

so 2x°=142°

so x=71°

Answer:

the answer is

Step-by-step explanation:

-7u⁶y²-5u³+3uy²

that is the correct answer trust me