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likoan [24]
3 years ago
15

The unit cost for a piece of fabric is $4.99 per yard including tax. You have $30 to spend on material. How many whole feet of m

aterial could you buy?
Mathematics
1 answer:
Svetllana [295]3 years ago
6 0
1 yd = 3 ft

This means the unit cost per feet is $4.99/3.

Let 'x' represent the length of the material in feet that you can be with $30.

(4.99/3)*x <= 30
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Sissy wants to enlarge a picture of a princess so that she can put it on the wall in her daughter’s room. What will be the area
alisha [4.7K]

Answer:

= 486 in²

Step-by-step explanation:

Linear scale factor = Image distance/object distance

Therefore; Linear scale factor = OL'/OL

                                                 = 54/ 12

                                                 = 9/2

Area scale factor is equivalent to the square of linear scale factor

Thus;

Area scale factor = (9/2)²

                             = 81/4

Hence; 81/4 = Area of larger rectangle/Area of smaller rectangle

Area of the smaller rectangle = 4 ×6 = 24 in²

Therefore;

Area of enlarged or larger pic = 81/4× 24

                                                  <u>= 486 in²</u>

3 0
3 years ago
Read 2 more answers
PLEASE SHOW YOUR WORK WITH YOUR ANSWER. Two bags had 50 kilograms of sugar each. After taking out 3 times as much sugar from bag
Svetllana [295]

Answer:

Bag 1: 20

Bag 2: 40

Step-by-step explanation:

Let x be the amount taken out of bag 2

Then the amount left in each bag can be written as:

Bag 1: 50-3x

Bag 2: 50-x

Since we know that half of bag 2 is bag 1, that gives us:

50-3x = 1/2(50-x)

-> 50-3x = 25-x/2

Now lets isolate x and solve:

25 = 5x/2

-> 50 = 5x

-> x = 10

So plug x bag in for the original equations:

Bag 1: 50-3x = 50-3(10) = 20

Bag 2: 50-x = 50-10 = 40

4 0
3 years ago
A 24ft flagpole has a shadow of 9ft. A soldier standing next to the flagpole has a shadow of 2.25 feet. How tall is the soldier?
natima [27]

Answer:

6 feet

Step-by-step explanation:

Let's form a proportion;

24                    x

____    =      _____ ,

 9                   2.25

24(2.25) = 9x,

54 = 9x,

x = height of soldier = 6 feet

4 0
4 years ago
Read 2 more answers
I’ll mark brainlest! pls help! :/
alexandr1967 [171]

Answer:

9\sqrt{2}

Step-by-step explanation:

d = \sqrt{(5-(-4)^2+(5-(-4)^2 \\

d = \sqrt{(9)^2+(9)^2

d = 9\sqrt{2}

6 0
3 years ago
Read 2 more answers
What is the simplest form of 4 square root 81x^8y^5?
olasank [31]
Firstly,
thanks for posting this.

81 = 9x9 or 9 squared so at this stage I'm guessing the last two. 
x^ 8 = (x^ 4) x (x^ 2) (its called the multiplication rule of indices). 
Okay I have approx 14 mins to answer.
No panic
√ 81.x^8 x <span>√ y^5
</span>√ (9x^2 x 9x^6) x <span>√ y^5
</span>= 9x x <span>√ 9x^6 x  </span><span>√ y^5
</span>did I just gain time?
√ 9x^6 = <span>√ </span>3x ^3 x <span>√ 3x ^ 3
</span>or 2 . √ 3x^3. <span>√ y^5
</span>more time
okay, so that wasnt successful. 
√ 9x^6 =<span>√ </span> (3x^2) x <span>√ </span>(3x^4)




5 0
3 years ago
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