Percentage problems with mixed number
1. What is 15 12 % of 600?

2. Find 33 1/3 % of $1200

3. Calculate 12 1/2% of 160

4. Tim paid 5 14 % interest on $1600 he
borrowed. How much did he pay in
total?

Answer:

The difference in areas:

Percent increase:

Answer:

Step-by-step explanation:

h and p are the number of history and psych textbooks, respectively.

store sold a total of 411 textbooks in a week.

h + p = 411

The number of history textbooks sold was 69 less than the number of psychology textbooks sold.

h = p - 69

Substitution

(p-69) + p = 411

2p = 411+69

p = 240

h = p-69 = 171

171 history books and 250 psych books

Answer:

x=2

Step-by-step explanation:

use completeting the square

[tex]4x^2-16x+5=4(x-2)^2-11[/tex]

Answer:

hanges made to your input should not affect the solution:

(1): Dot was discarded near "4.".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*x+7*y-(3914)=0

STEP

1

:

Equation of a Straight Line

1.1     Solve   5x+7y-3914  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x+7y-3914  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3914/7 so this line "cuts" the y axis at y=559.14286

 y-intercept = 3914/7  = 559.14286

Calculate the X-Intercept :

When y = 0 the value of x is 3914/5 Our line therefore "cuts" the x axis at x=782.80000

 x-intercept = 3914/5  = 782.80000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 559.143 and for x=2.000, the value of y is 557.714. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 557.714 - 559.143 = -1.429 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -1.429/2.000 = -0.714

Geometric figure: Straight Line

 Slope = -1.429/2.000 = -0.714

 x-intercept = 3914/5 = 782.80000

 y-intercept = 3914/7 = 559.14286

Step-by-step explanation:

Answer:

y= -5/7x+3914/7

Step-by-step explanation:

Slope form is y=mx+b

5x+7y=3914

7y = -5x+3914 minus the 5x from each side

7y=-5x+3914  divide 7 from each side --> y= -5/7x+3914/7

So, 5x+7y=3914 is in ax+by=c (standard form) the "a" in "ax" can't be negative either.

Answer:

5x^2 + xy + 20

Step-by-step explanation:

Begin with 5x^2+3xy+12,  Subtracting 2xy yields 5x^2 + xy + 12.  Next, subtracting -8 yields 5x^2 + xy + 12 - (-8), or   5x^2 + xy + 20

Answer:

Step-by-step explanation:

7cm,8cm,13cm

16cm,4cm,18cm

11cm,21cm,13cm

Answer:

219

Step-by-step explanation:

he will still need 219 dollars to get to 948

Answer:

[tex](3x-4)(5x+2)[/tex]

Step-by-step explanation:

Answer:

I think not possible to do

Answer:

t ≤ 325

Step-by-step explanation:

the inequality: t+225 ≤ 550

t ≤ 550-225

Subtract 225 from 550

t ≤ 325 :)

Respuesta:

12.04 pero puede ser 12

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + 9^2 = c^2

64 + 81 = 145^2

√145 = 12.04 = 12

Answer:

n+24=x

Step-by-step explanation:

Answer: the 8

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-3 is less than -2, so A (-3) is the answer.

Only x = -3 is less than -2.

We have the following inequality -

x < - 2

Given is -

x < - 2

Now, it can be seen that -

- 3 < - 2

Therefore, only x = -3 is less than -2.

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Answer:

x = -0.5

Step-by-step explanation:

Here we have the sentence:

"3 to the power 2x+3 is subtracted by 9 which is equal to 2 times 9 to the power x+1 and is subtracted by 6"

The first part:

"3 to the power 2x+3 is subtracted by 9..."

This can be written as:

[tex]3^{2x + 3} - 9[/tex]

"... is equal to 2 times 9 to the power x+1 and is subtracted by 6"

[tex]3^{2x + 3} - 9 = 2*9^{x + 1} - 6[/tex]

Let's solve this for x.

First, we can add 9 in both sides:

[tex]3^{2x + 3} = 2*9^{x + 1} - 6 + 9 = 2*9^{x + 1} + 3[/tex]

We also know the relations:

[tex]a^n*a^b = a^{n + b}[/tex]

and

[tex](a^n)^m = a^{n*m}[/tex]

We can write the left part as:

[tex]3^{2x + 3} = 3^{2x}*3^3 = (3^2)^x*3^3 = 9^x*27[/tex]

And the right side as:

[tex]2*9^{x + 1} + 3 = 2*9^x*9 + 3 = 18*9^x + 3[/tex]

Then the equation becomes:

[tex]27*9^x = 18*9^x + 3[/tex]

Now let's move both terms with 9^x to the left side:

[tex]27*9^x - 18*9^x = 3\\[/tex]

[tex](27 - 18)*9^x = 3[/tex]

[tex]9*9^x = 3[/tex]

[tex]9^x = 3/9 = 1/3[/tex]

Now remember that:

Ln(a^b) = b*Ln(a)

Then if we apply the Ln( ) function to both sides, we get:

[tex]Ln(9^x) = Ln(1/3)[/tex]

[tex]x*Ln(9) = Ln(1/3)[/tex]

[tex]x = \frac{Ln(1/3)}{Ln(9)} = -0.5[/tex]

Answer:

D

Step-by-step explanation:

Answer:

top right is the answer

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

Rachael liked 36/90 books movies that she watched. This simplifies to 2/5 which is 0.4. To find the percentage, we multiply 0.4 by 100 to get 40%.

Circle geometry are made up of lines and angles. The measure of the angle arcGM is 90degrees

Circle geometry are made up of lines and angles

From the given diagram, the sum of angles on the straight line GKH is 180 degrees

arcGM + arcMN = 180 degrees

Given that arcMN = 90 degrees, hence;

arcGm = 180 - 90
arcGM = 90 degrees

Hence the measure of the angle arcGM is 90degrees

Learn more on geometry here:https://brainly.com/question/19241268

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Answer:

mGM is 77 degrees

Step-by-step explanation:

Answer:

the arc length of minor arc AC is

[tex] \frac{165}{360} .2\pi.3 = \frac{11\pi}{4} [/tex]

Answer:

solution given:

For triangle

side1=9ft

side2=10ft

base[b]=11ft

height[h]=7.7ft

and for rectangle

length [l]=3ft

wide [w]=9ft

Now

total surface area=lateral surface area +2curved surface area

=perimeter of triangle×length +2area of triangle

=(9+10+11)×3+2×1/2×2(½×b*h)

=90+11×7.7

=174.7

=175ft²is a required answer.

the answer to ur question is 18

Answer:

320 adults and 120 children

Step-by-step explanation:

First set up two sets of equations. One will equal the total amount of money sold and the other will equal the total amount of tickets sold.

5a + 2.5c = 1900 where a is the # of adult tickets sold and c is the # of children tickets sold

a + c = 440

Now solve for either a or c in the second equation. I chose to solve for a. a=440-c

Use that to substitue into the other equation.

5 (440-c) +2.5c = 1900

2200-5c +2.5c = 1900

-5c+2.5c = -300

-2.5c=-300

c=120

Now plug 120 into the equation a+c=440 and solve for a

Answer:

Lin is between 150 and 160 cm

Step-by-step explanation:

The height is represented by the inequality :

h > 150 and h < 160

h > 150 - - (1)

h < 160 - - - (2)

Combining the two :

h > 150 means 150 is less than h but h is not upto 160

Thus, we have ;

150 < h < 160

This means height, h occurs between the range ; 150 cm and 160 cm

Answer:

x = 18√3

Step-by-step explanation:

From the picture attached,

In a right triangle,

Measure of one angle = 30°

Measure of adjacent side of the angle = 9 units

We have to find the measure of Hypotenuse from the given properties.

By cosine rule,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3}}{2} =\frac{9}{x}[/tex]

[tex]x=18\sqrt{3}[/tex]

Therefore, measure of Hypotenuse is 18√3 units.

Answer:

17 5/6 is the answer.

Step-by-step explanation:

6+5+5=16 + 2/3+5/6+1/3

2/3=4/6

1/3=2/6

2+4+5=11/6=1 5/6

1 5/6+ 16=17 5/6

I did this stuff in like 4th grade

Answer:

If you buy a 15 dollar gift card every day for a year, it will cost $5,475.

Just take the price, multiply it by the amount.

Answer:

$5475

Step-by-step explanation:

365 X 15 =

(365 x 10) + (365 x 5) =

3650 + 1825 =

$5475