The length of a rectangle is three times it’s width. It’s area is 75 inches squared. Find the length and width of the rectangle

∠AKJ ≅ AIH  because they are corresponding angles

  60° = AIH   by substitution

ΔAIH

∠A + ∠I + ∠H = 180°   per the triangle angle sum theorem

 x  + 60 + 56 = 180    substituted known values

 x +       116     = 180   added like terms

                    x = 64     subtracted 116 from both sides  

Answer: 64°  

Answer:

$290.50

Step-by-step explanation:

121.04 * 80% = 96.832

121.04 - 96.832 = 24.208

24.208 * 12 = 290.496 ~ 290.50

Answer:

7

Step-by-step explanation:

We know that since 6 ounces creates 6/7 of a serving, that basically says that 1/7 of a serving is created with 1 ounce of pasta. So if there were 7 ounces of pasta, that would make 7/7 servings and that would be 1 serving

The fact that an oncoming plane passed is irrelevant to what we need to find, so we can ignore that.

The math statement it's asking you to solve is this:

0+21000-(4329+8543)

The reason we are adding 4329 and 8543 is to make it easier on the subtraction. Since both of those terms are being subtracted, we can combine them to make our problem one step shorter.

After simplifying the parentheses, we get:

21000-12872

After this it becomes simple subtraction to find the answer.

8128 is the answer, so your answer would be:

The plane is now flying at an altitude of 8,128 feet.

Answer:

Ur answer is

The plane was flying at 8,218 feet altitude

Step-by-step explanation:

This is easy u start off with 21,000 then subtract as needed

21,000-4329=16,671

16,671-8,453=8,218

So ur answer is 8,218

Hi!

Here is the leaf plot:

6 ║ 5, 6, 7, 8 , 9

7 ║0, 2

60 degrees?

hope this helps

If the temperature was 80 and it fell to 20 you need to subtract 20 from 80 than giving you the difference in temperature witch is 60 degrees difference.

FINAL ANSWER 60 Degrees Difference.

Hope that helps

Daniel

In order to build the sidewalk, they would need around 33  yrds^3 of concrete. This is because the problem is asking for the volume of the sidewalk. First, we need to convert everything into yards. The final answers we would get would be (5/3) (80) and (0.25). If we were to use the formula for volume, it would be V=lwh. With that incorporated, the answer would be 33.3333333 yrds^3 of concrete to be exact.

The volume of the sidewalk can be calculated using the formula for the volume of a rectangular prism, V = length x width x depth. The volume in cubic feet is then converted to cubic yards as concrete is sold in cubic yards. Therefore, approximately 33.3 cubic yards of concrete are needed for the sidewalk.

To calculate the amount of concrete needed for a sidewalk, we first need to find the volume of this sidewalk in cubic feet and then convert it to cubic yards because concrete is usually sold in cubic yards. The given dimensions of the sidewalk are 5 feet wide, 240 feet long, and a depth of 0.75 feet (9 inches).

The volume (V) of a rectangular prism (which in this case is the sidewalk) can be calculated using the formula V = length x width x depth. Therefore, V = 5 ft (width) x 240 ft (length) x 0.75 ft (depth) which gives us 900 cubic feet.

Next, we need to convert cubic feet to cubic yards because concrete is sold in cubic yards. One cubic yard is equivalent to 27 cubic feet. Therefore, the volume of concrete in cubic yards is 900 cubic feet ÷ 27 = 33.3 cubic yards. So, you will need approximately 33.3 cubic yards of concrete to build this sidewalk.

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Answer:

280 adult tickets, 40 student tickets and 80 children tickets were sold.

Step-by-step explanation:

To solve this problem let's call:

x = number of tickets for adults

y = number of tickets for students

z = number of tickets for children

The income for the concert is $ 7840

Then we can raise the following equations according to the given conditions:

[tex]x+y+z = 400[/tex]   (i)

[tex]22x+15y +13.50z = 7840[/tex] (ii)

 There are 40 more children in the concert than students:

So:

[tex]z=40+y[/tex]  (iii)

We then have 3 equations and 3 unknowns:

To solve the system we multiply the equation (i) by -22 and add it to the equation (ii)

So:

[tex]-22x-22y-22z=-8800[/tex]

       +

[tex]22x+15y +13.5z =7840 [/tex]

[tex]-7y-8.5z = -960[/tex] (iv)

 Now we multiply (iii) by 7 and add it to (iv)

[tex]7y-7z = -280 [/tex]

   +

[tex]-7y-8.5z = -960[/tex]    

[tex]-15.5z = -1240 [/tex]

[tex]z = 80[/tex] (v)

We substitute (v) in (iv) and we have

[tex]y = 40[/tex] (vi)

We substitute (v) and (vi) into (i) and we have:

[tex]x =280[/tex]

280 adult tickets, 40 student tickets and 80 children tickets were sold.

[tex]h(x)=\dfrac{x^2}{8-8x}\\\\h'(x)=\left(\dfrac{x^2}{8-8x}\right)'\\\\\text{use}\ \left(\dfrac{f(x)}{g(x)}\right'=\dfrac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}\\\\f(x)=x^2\to f'(x)=(x^2)'=2x\\\\g(x)=8-8x\to g'(x)=(8-8x)'=-8\\\\\text{substitute}\\\\h'(x)=\dfrac{2x(8-8x)-x^2(-8)}{(8-8x)^2}=\dfrac{16x-16x^2+8x^2}{(8-8x)^2}=\dfrac{16x-8x^2}{(8-8x)^2}[/tex]

Doubling the number of giant solar power calculation plants from 14 to 28 would theoretically power double the number of homes, which is approximately 257,142 homes.

If 14 giant solar power plants generate 2.6 gigawatts of energy to power 1.8 million homes, we can calculate the number of homes that 28 solar panels can power by first determining the number of homes one plant can supply energy for.

Powering 1.8 million homes with 14 plants means each plant powers 1.8 million / 14 = 128,571 homes approximately.

If we assume a direct scale-up, doubling the number of solar power plants to 28 would theoretically double the number of homes that can be powered, hence 28 plants would power 128,571 homes × 2 = 257,142 homes approximately.

However, the question seems to have a typo because usually power capacity is specified for power plants and not individual solar panels.

So, doubling the number of solar panels, not power plants, wouldn't necessarily mean doubling the total power capacity because individual solar panels have a much smaller capacity than an entire power plant.

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Answer:it is isolating one of the variables...

Step-by-step explanation:

Apex

Answer:

isolating the variable

Step-by-step explanation:

Answer:

Denise made $57

Step-by-step explanation:

$12 * 3 = $36

$31 * 3 = $93

$93 - $36 = $57

He can play 4 rounds. If you find a common denominator, it would end up with 9/12 of an hour to play and then you subtract the 1/12 it took to set it up. this leaves you with 8/12. but, it takes 2/12 of an hour to play each round. so 8 divided by 2 is 4. Which is where the 4 rounds is from!

Solution

In order to find  greatest to least number, we have to convert the given fractions into decimals.

3 [tex]\frac{1}{10}[/tex] % = 3 + 1/10 = 3 + 0.10 = 3.10%

3 [tex]\frac{2}{5}[/tex]% = 3 + 2/5 = 3 + 0.40 = 3.40%

3 [tex]\frac{1}{4}[/tex] %= 3 + 0.25 = 3.25%

3 [tex]\frac{1}{3}[/tex]% = 3 + 0.33 = 3.33%

Now we can easily, compare the numbers and write from greatest to least.

3.40%, 3.33%, 3.25%, 3.10%

Greatest to least  = 3 2/5%, 3 1/3%3, 3 1/4%,  1/10%,

Thank you :)

Answer:

3 2/5%, 3 1/3%, 3 1/4%, 3 1/10%

Step-by-step explanation:

PEMDAS tells us to use multiplication and division before addition and subtraction.

-5(8) ÷ 10 - 14 ÷ 7 - (-2)(3)

-40  ÷ 10 -     2    -   -6

     -4       -    2     + 6    two negatives make a positive so - - 6  = + 6

            -6              +6

                      0

Answer: 0

We have two rules in case of rounding off digits,

Rule 1:

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40.

Rule 2:

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.

We are given the number 13_,644 which rounds off to 130,000.

Now as we can see the number is rounded down, so we can apply rule number 2 here.

If we place the digit 0, 1, 2, 3 or 4 then the number will round off to 130,000.

Answer: The possible digits that can go in thousands place are 0, 1, 2, 3 or 4.

Answer:

57 days

Step-by-step explanation:

Given that there was a beautiful Japanese garden.

Also given that within the garden, there is a pond.

Since the beginning of summer, lilies have started to cover more and more of it with every passing day.

In fact, the quantity of lilies doubles every day.

By day 58, the entire pond will be covered.

Since given that every day lilies double, we find that if on 58th day it was full, then exactly one day before it should be 1/2 of pond.  In that case only, on 58th day pond can become full.

Hence half pond is filled with lilies in 57 days.

Answer:

y = x - 6

Step-by-step explanation:

The slope of y = -x is -1, so the slope of any line perpendicular to y = -x is +1.  Thus,

y = mx + b becomes 2 = 1(8) + b, so that b = -6.

The desired equation is y = x - 6.

Check:  Does (8,2) lie on this line?  Is 2 = 8 - 6 true?  YES.

Answer:

Y=X-6

Step-by-step explanation:

JOOOHNNNNN CENNAAAAA

B)

A= 8.6

B=8.66666...

C=8.25

D=7.33333...

Let the smallest number = x

The next higher number would be x +1

The 3rd number would be x +2

The sum of the 3 numbers: x + x+1 + x+2

33 more than the smallest number is written as x+33

Now you have:

x + x+1 + x+2 = x+33

Simplify the left side:

3x +3 = x +33

Subtract 3 from each side:

3x = x +30

Subtract 1x from each side:

2x = 30

Divide both sides by 2:

X = 30/2

x = 15

The three numbers are 15, 16 and 17

2 two-thirds are in four-thirds because 4 divided by 2 is 2

Find the totals of both Angle s A and T by adding the 2 angles in each corner:

Angle A = 58 + 32 = 90 degrees

Angle T =  46 + 44 = 90 degrees.

Becuase both these angles are 90 degrees Lines AM and TH are parallel.

Lets solve each one :

 If she is 9 :

9 times 2 = 18 + 9 = 27

If she is 11 :

11 times 2 = 22 + 11 = 33

If she is 20 :

20 times 2 = 40 + 20 = 60

If she is 10 :

10 times 2 = 20 + 10 = 30

You pick your answer :)

I hope this helped!

Have a great day!!!

The greatest age Raphael's sister can be is 10 years old.

An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =

Given that, Raphael is twice as old as his sister is. The sum of their ages is less than 30.

Let the age of Raphael's sister be x,

2x + x = 30

3x = 30

x = 10

Hence, The greatest age Raphael's sister can be is 10 years old.

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

The cubed root of x is written as:

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

FYI: You need THREE like terms on the inside of the radical to move the term to the outside.

it is an odd number. it is also a prime number . ie only divisible by one and  itself.