Rodney’s salary increased by 15% to $48,000 annually. What was his pay before the increase?

Answer:

kate will have more money

Step-by-step explanation:

cuz Kate have 25$ × 6 weeks = 150$

in the other hand , Patty have 60$ before + ( 10$ × 6 weeks ) = 60$+ 60$ = 120$

Answer:

new width=9.375 in

new scale= 1 foot= 0.4 inches

Step-by-step explanation:

Firstly to find the width we can set up a proportion:

[tex]\frac{x}{15}[/tex] =[tex]\frac{6}{9.6}[/tex], after solving for x, x= 9.375, which gives us our width.

To find the new scale, we knew that the old scale was 2 in=5 feet, or 1 in=2.5 feet, so to find the new one we can also set a new proportion,

[tex]\frac{1}{2.5} = \frac{15}{x}[/tex]

After solving you will get x= 37.5, so 15 inches= 37.5 feet, but to simplify we can divide,

15/37.5= 0.4

I tried my best loooool

Answer:

Step-by-step explanation:

You have a cloth:

____________

|                        |

|                        |

|___________|

and you cut it in half.

There are three sides

Answer:

Step-by-step explanation:

The cut pieces will each have three sides:  two that are equal and one that is the hypotenuse.

If the original square had sides of length s, then the cut pieces would each have two of that length:  s and s; the third side would have length h = √(s² + s²), or h = s√2.

Answer:

Step-by-step explanation:

more hcl = less time.

error in table drawing or values not precise. more explanation needed in pic.

yes.                       more hcl = less time.

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Explanation:

The base of the cone is 24 m across. This is the diameter of the circle. Divide it in half to get 24/2 = 12 m as the radius.

We can form a right triangle inside the cone such that the horizontal piece is the radius 12 m and the vertical piece is the height 16 m. The hypotenuse of this right triangle is the slant height. This is all mentioned in the instructions of course.

We'll use the pythagorean theorem to find the hypotenuse.

[tex]a^2 + b^2 = c^2\\\\c = \sqrt{ a^2 + b^2 }\\\\c = \sqrt{ 12^2 + 16^2 }\\\\c = \sqrt{ 144 + 256 }\\\\c = \sqrt{ 400 }\\\\c = 20 \text{ meters is the slant height}\\\\[/tex]

It is the distance from the circular base to the peak of the cone, when traveling along the outside of the cone. This is a straight line distance.

Answer:

2.4 pounds

Step-by-step explanation:

12/5=2.4

To get 5 equal parts of 12, you have to do 12 divided by 5.

Answer:12 i think

Step-by-step explanation:

Answer:

418122 seconds

Step-by-step explanation:

First divide 400,500 by 50. That is 8010.

Then multiple 8010 by 52.2 and you answer is 418122 seconds. OR

6968.7 Minutes, OR 116.145 Hours, OR 4.839375 Days

Convert 124 7/8 to 999/8

In 25 minutes, 999/8 is drained -> every minute, 999/200 is drained (4.995)

Answer:

Step-by-step explanation:

*View the attached file*

Hope this helps!

Answer:

[tex]\frac{16}{225}[/tex]

Step-by-step explanation:

When attempting probability problems we want to figure out the chances of something happening. This turns into something like:

[tex]\frac{\text{marble drawn}}{\text{total marbles}}[/tex]

In this case we have 8 red marbles, 2 green marbles, and 5 blue marbles in a bag. That brings us to a total of 15 marble.

Since we want to first draw a red marble the chance of that happening would be:

[tex]\frac{8\text{(the marble drawn)}}{15\text{(total # of marbles)}}[/tex]
Now we replace the marble as stated in the problem so we then draw the next marble, which is green.

[tex]\frac{2\text{(the marble drawn)}}{15\text{(total number of marbles)}}[/tex]

All that's left is to multipy the values we got:

[tex]\frac{8}{15} *\frac{2}{15}=\frac{16}{225}[/tex]

That's our answer.

Answer:

2.5

Step-by-step explanation:

40 divided by 16 is 2.5

Answer: g, e

e. (-6,-5)

g. (-4,-4)

Step-by-step explanation:

    While we could plug in each value of data points to see if it solves correctly, a quicker way to solve this problem is to graph.

    The points that are a solution to the set are points in the area of overlap created by the two equations graphed. Points that are on a line in the overlap, but not over, are not a solution because the equations do not include "equal to."

   See attached for the graph.

The solution set of y < 1/2x - 1 and y > 2x + 3 are their true values

The solution set of the system of linear inequalities are (-6,-5) and (-4,-4)

The system of linear inequality is given as:

y < 1/2x - 1

y > 2x + 3

Start by plotting the graph of both inequalities

Because both inequalities do not have any form of equation i.e. ≤ and ≥, then only the points in the shaded area represents the solution set of the inequality.

The points in the shaded area are (-6,-5) and (-4,-4)

Other points are either outside the shaded area or on the line of the inequalities

Hence, the solution set of the system of linear inequalities are (-6,-5) and (-4,-4)

Read more about inequalities at:

https://brainly.com/question/18881247

The surface area of the cylindrical tank on which the Michael is painting is 7065 ft².

Surface area of cylinder is the area of each faces by which it is enclosed. The surface area of cylinder can be calculated with the following formula;

[tex]A=2\pi rh+2\pi r^2[/tex]

Here, (h) is the height of the cylinder and (r) is the radius.

Michael is painting a cylindrical tank with a radius of 15 feet and a height of 60 feet. He must determine the surface area of the tank so that he knows how much paint to purchase.

Put the values in the above formula,

[tex]A=2(3.14) (15)(60)+2(3.14)(15)^2\\A=7065\rm\; ft^2[/tex]

Thus, the surface area of the cylindrical tank on which the Michael is painting is 7065 ft².

Learn more about the surface area of cylinder here:

https://brainly.com/question/20771646

Answer:

n + 18

Step-by-step explanation:

n + 18

Answer: 70 degrees

Step-by-step explanation:

Answer:

Answer is 6

Step-by-step explanation:

See it is equilateral so AB=AC=BC

Now we are given values of AB and AC, but they are equal so,

Hope it helps

BYE

Answer:

add all the sides that you have and subtract it from 180

Step-by-step explanation:

Answer:

4000

Step-by-step explanation:

V=4/3(3)(10)^3

V= 4/3 (3)(1000)

V=4/3 (3000)

V=4000

Answer:

Step-by-step explanation:

Accordingto the scale factor, the model is 8 times smaller than actual figure.

Its height is:

So

Model:-

Answer:

.72x=414

Step-by-step explanation:

Answer:

Area of a parallelogram is a region covered by a parallelogram in a two-dimensional plane. In Geometry, a parallelogram is a two-dimensional figure with four sides. It is a special case of the quadrilateral, where opposite sides are equal and parallel. The area of a parallelogram is the space enclosed within its four sides. Area is equal to the product of length and height of the parallelogram.

Step-by-step explanation:

Area = b × h Square units

Answer:

i dunno'

Step-by-step explanatio i dont know how to explain diss this

Answer:

xy=3_equation I

x+y=76/15 eq 2

Step-by-step explanation:

from eq

x=3/y

now put x=3/y in eq 2

3/y+y=76/15

(3+y^2) 15=76y

45+15y^2=76y

15y^2-76y+45=0

by using quardic equation

x=76+_root under 76^2-4×15×45/2×15

y= 5776+- 53.62/2×15

taking positive sign and taking negative sign

y=194.32

y=190.745

Answer: C. 2 3/4 yards.

Hope this helps! :)

Please mark me brainliest.

Answer:

2  3/4

Step-by-step explanation:

Longest  - shortest =

  4 1/2     -   1 3/4   =  2 3/4

Answer:

Step-by-step explanation:

When your desired form is expanded, it becomes ...

  a(x +b)^2 = a(x^2 +2bx +b^2) = ax^2 +2abx +ab^2

This tells you the overall factor (a) is the leading coefficient of the given trinomial. Factoring that out, you can find b as the root of the remaining constant.

a) 5x^2 +15x +11.25 = 5(x^2 +3x +2.25) = 5(x +1.5)^2

b) 10x^2 +20x +10 = 10(x^2 +2x +1) = 10(x +1)^2

c) 1/4x^2 +x +1 = 1/4(x^2 +4x +4) = 1/4(x +2)^2

d) 3x^2 +5x +25/12 = 3(x^2 +5/3x +25/36) = 3(x +5/6)^2

_____

Additional comment

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

Answers:

Mode = 6

Range = 7

====================================================

Explanation:

The mode is the most frequent value. Based on that, we simply go for the tallest stack of 'x's which in this case is 6.

Therefore, 6 is the mode. It shows up four times which is the most of any other value.

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The range is the difference of the min and max

range = max - min = 8 - 1 = 7

Answer:

8,874%

Step-by-step explanation:

Find percent of change by finding the differnce between the original price and new price. You can then use a proportion "change/original = percent/100"