If the nominal interest rate is 4. 00% and the rate of inflation is 2. 25%, what is the real interest rate? 1. 75% 4. 50% 6. 25% 9. 0%.

The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27

The given ratio is:

2 gallons to 27 quarts

This can also be written as:

2 gallons  :  27 quarts

Convert 27 quarts to gallons so that both items in the ratio can be of equal unit

Note that:

1 quart  =  0.25 gallons

27 quarts = 0.25 x 27

27 quarts = 6.75 gallons

The ratio can therefore be re-written as:

2 gallons :  6.75 gallons

In fraction form:

2 gallons  :  27 quarts = 2/6.75

Multiply the numerator and denominator by 4

2 gallons  :  27 quarts  =  4/27

The ratio 2 gallons to 27 quarts as a fraction in its simplest form is 4/27

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Answer:

About 29%

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

XY = 3x – 1, YZ = 5, and XZ = 5x – 8,

We know that XY + YZ = XZ, so

3x - 1 + 5 = 5x - 8

3x + 4 = 5x - 8

3x + 12 = 5x

12 = 2x

6 = x

The value of x from the given line segment XZ is 6. Therefore, the correct answer is option A.

Given that, X, Y, and Z are collinear and Y is between X and Z.

Collinear points are those that are on the same straight line or in the same plane. In Euclidean geometry, two or more points on a line that are close to or far from each other are said to be collinear.

So, here [tex]XZ=XY+YZ[/tex]

[tex]5x-8=3x-1+5[/tex]

[tex]5x-8=3x+4[/tex]

[tex]5x-3x=4+8[/tex]

[tex]2x=12[/tex]

[tex]x=6[/tex]

Therefore, the correct answer is option A.

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Answer: Rogun dam is 335m tall and Nurek dam is 300m tall

Step-by-step explanation:

I will use [tex]r[/tex] to represent the height of the Rogun dam and [tex]n[/tex] to represent the height of the Nurek dam.

The system of equations is as follows:

[tex]r+n=635[/tex]

[tex]r-n=35[/tex]

From the second equation, we can rearange it to be:

[tex]r=35+n[/tex]

Then take this new value of [tex]r[/tex] and plug it into our first equation to find [tex]n[/tex]

[tex](35+n)+n=635[/tex]

[tex]35+2n=635[/tex]

[tex]2n=600[/tex]

[tex]n=300[/tex]

This means that the Nurek dam is 300m tall, and the Rogun dam is 335m tall, found by pluggin the value into our first equation:

[tex]r+300=635[/tex]

[tex]r=335[/tex]

Answer:

Your reading speed will increase if you're reading a book you're familiar with than one you barely know. So, on average, you can read 40 to 50 pages of a book in an hour.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a. addition

b. division

c. given

Answer:

1/125

Step-by-step explanation:

Simply subtract the exponents

in this case 6 - 3 so then its now 5 / 5^3

now just make the numerator a 1

1 / 5^3

5x5x5 = 125

1/125

Answer:

0.008

Step-by-step explanation:

i did 5 to the 3rd power which is 125

Then i did 5 to the 6 power and got 15625

finally I divided the answers and got  0.008   or in 125

[tex] \: \: \: \: \: \: [/tex]

If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -

If a value is greater than 100% of the original value, then it is larger than the original value. For example, 150% of 6 is 6 150% = 61.5 =9> 6. -If the value is less than 1% of the original value, then it is smaller than the original value. For example, 0.1% of 6 is 6 0.1% = 6 0.001 0.006 < 6.

Answer:

7^-25

Step-by-step explanation:

7^1/5^5

7^5^-1*5

7^5^-5

7^5*-5

7^-25

Answer:

7

Step-by-step explanation:

[tex](7^{\frac{1}{5}})^{5}[/tex]

[tex]7^{\frac{1}{5}*{5}[/tex]  -- simply, (5 cancels)

7¹

7

Answer:

-13

Step-by-step explanation:

negative 13 = -13

Answer:

y = -[tex]\frac{5}{3}[/tex]x - -[tex]\frac{23}{3}[/tex]

Step-by-step explanation:

First, let's divide both sides by 5 to get the first equation into the form y = mx + b. We get y = [tex]\frac{3}{5}[/tex]x + 5. The m value, [tex]\frac{3}{5}[/tex], is the slope and the b value, 5, is the y-intercept of this line.

When a line is perpendicular to another line, the slopes must multiply to get -1. In other words, the slopes must be a negative reciprocal of each other. Since the slope of the original line is [tex]\frac{3}{5}[/tex], we know that the slope of the line perpendicular to that is -[tex]\frac{5}{3}[/tex].

Then, since we know x, y, and m of the second equation, we can substitute those three values into the equation, y = mx + b, to find the y-intercept (b).

-1 = (-[tex]\frac{5}{3}[/tex])(-4) + b

-1 = [tex]\frac{20}{3}[/tex] + b

b = -[tex]\frac{23}{3}[/tex]

After plugging in the values of m and b we calculated, we get the equation for the line perpendicular to the original line: y = -[tex]\frac{5}{3}[/tex]x -[tex]\frac{23}{3}[/tex].

Answer:

0% chance

Step-by-step explanation:

there are no green marbles

Marbles no

There is no green marbles

So it will never occur(impossible event)

3/ 8

of a cup.

Explanation:

You want half of the recipe, so you want half of

3/4

of a cup.

Of means multiplication when it comes to fractions, so multiply

3/4  by 1/2 to get 3/4 ⋅ 1/2 = 3/8

Answer:

A - Exponential

Step-by-step explanation:

Exponential is the best fitting model because there's a $500 raise in salary each year, so $500 is added to the salary of the previous year.

Let

ATQ

[tex]\\ \sf{:}\longrightarrow Area=1800[/tex]

[tex]\\ \sf{:}\longrightarrow Length(Breadth)=1800[/tex]

[tex]\\ \sf{:}\longrightarrow 5x(4x)=1800[/tex]

[tex]\\ \sf{:}\longrightarrow 20x^2=1800[/tex]

[tex]\\ \sf{:}\longrightarrow x^2=900[/tex]

[tex]\\ \sf{:}\longrightarrow x=30[/tex]

[tex]\\ \sf{:}\longrightarrow Perimeter=2(L+B)[/tex]

[tex]\\ \sf{:}\longrightarrow Perimeter=2(150+120)[/tex]

[tex]\\ \sf{:}\longrightarrow Perimeter=2(270)[/tex]

[tex]\\ \sf{:}\longrightarrow Perimeter=540m[/tex]

Answer:

a) 45 minutes

b) 2 miles

c) 8 miles per hour

d) 7.5 minutes per mile

Step-by-step explanation:

a) (150/20) x 6 = 45 minutes

b) (20/150)(15) = 2 miles

c) (20/150)(60) = 8 miles per hour

d) 150/20 = 7.5 minutes per mile

20 miles in 150 minutes = 20/150 miles per minute = 2/15 miles per minute

distance/speed = time

6 miles / (2/15) miles per minute = 45 -> 45 minutes

time*speed=distance

15 minutes * 2/15 miles per minute = 2 miles

Her speed, 2/15 is in miles per minute. To convert to miles per hour, you multiply by 60 (60 minutes in an hour). 2/15*60=8 miles per hour

minutes per mile = 150 minutes for 20 miles = 150/20=15/2 minutes per mile

15/2=7.5

7.5 minutes per mile

Answer:

7 ^2 ⋅ 7 ^4 = 49^6

Step-by-step explanation:

7² / 7 ⁻⁴

= 7²⁻⁽⁻⁴⁾

= 7 ⁽²⁺⁴⁾

= 7⁶

= 117649

Remember :-

xᵃ / xᵇ = xᵃ⁻ᵇ

___

Hope it helps ⚜

⁽

Answer:

-12

Step-by-step explanation:

1-2x+3y

1-2(-2)+ 3(-5)

1-4-9

= -12

Answer:

x/3 ≤ 5

I'm not sure if this is what you were looking for. If not, please be more specific in your questions!

Step-by-step explanation:

h(x) = 4x - 1

given,

h(x) = -9

now,

h(-9) = 4(-9) - 1

→ -36 - 1

→ -37

hope this answer helps you dear, take care!

Answer:

x = - 2

Step-by-step explanation:

Given h(x) = 4x - 1 and h(x) = - 9, then equating right sides gives

4x - 1 = - 9 ( add 1 to both sides )

4x = - 8 ( divide both sides by 4 )

x = - 2

Answer:

  AC = 55°

Step-by-step explanation:

In this geometry, arcs AC and BD have the same measure. The sum of the parts of arc CD will total the measure of CD.

  AC + AB + BD = CD

  2AC +80 = 170

  AC = 110/2 = 55

The measure of arc AC is 55°.

Answer:

AC = 55°

Step-by-step explanation:

because the measure is part of CD. Hope this helps!

Answer:

follow me on the gram (andrewa223) also the answer is a

Step-by-step explanation:

Answer:

1. Answer Is 33

2. Answer Is 25

3. Answer Is 33

Answer:

reflection over x-axis

hope that helps!!!

Answer:

Obtuse Angles are

1, 3, 5, 7, 9, 11

Acute angles are

2, 4, 6, 8, 10, 12

Step-by-step explanation: