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Tems11 [23]
3 years ago
11

You have fifteen blankets that each take up 557 cubic inches of space. How many blankets could you pack into a 14-inch moving bo

x?
a. 10 blankets
b. 4 blankets
c. 3 blankets
d. 13 blankets
Mathematics
1 answer:
algol133 years ago
6 0

Answer:

b i think please tell me if im wroung

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Please help!! Choose the system of equations that matches the following graph:
ddd [48]

Answer:

tge answer is

A. x-4y=-4

3x+4y=36

8 0
3 years ago
Read 2 more answers
PLS HELP ILL GIVE BRAINLIEST
inysia [295]
<h3>Answer:   14x - 8</h3>

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

Explanation:

I'll use the quadratic formula to find the roots or x intercepts. This slight detour allows us to factor without having to use guess-and-check methods.

The equation is of the form ax^2+bx+c = 0

  • a = 12
  • b = -11
  • c = -5

This leads to...

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-11)\pm\sqrt{(-11)^2-4(12)(-5)}}{2(12)}\\\\x = \frac{11\pm\sqrt{361}}{24}\\\\x = \frac{11\pm19}{24}\\\\x = \frac{11+19}{24} \ \text{ or } \ x = \frac{11-19}{24}\\\\x = \frac{30}{24} \ \text{ or } \ x = \frac{-8}{24}\\\\x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}

Now use those roots to form these steps

x = \frac{5}{4} \ \text{ or } \ x = -\frac{1}{3}\\\\4x = 5 \ \text{ or } \ 3x = -1\\\\4x - 5 =0 \ \text{ or } \ 3x+1 = 0\\\\(4x-5)(3x+1) = 0

Refer to the zero product property for more info.

Therefore, the original expression factors fully to (4x-5)(3x+1)

Use the FOIL rule to expand it out and you should get 12x^2-11x-5 again.

----------------------------------------------

We did that factoring so we could find the side lengths of the rectangle.

I'm using the fact that area = length*width

  • L = length = 4x-5
  • W = width = 3x+1

The order of length and width doesn't matter.

From here, we can then compute the perimeter of the rectangle

P = 2(L+W)

P = 2(4x-5+3x+1)

P = 2(7x-4)

P = 14x - 8

6 0
2 years ago
A biased coin is flipped twice.
Anni [7]

Answer:

0.48.

Step-by-step explanation:

There are 2 ways that a tail lands once:-

Tail + head or

head + tail.

Prob(Tail on one throw) = 0.4

Prob(Head on one throw) = 1 - 0.4 = 0.6.

Prob(Tail first then head) = 0.4 * 0.6 = 0.24

Head then tail has the same probability (0.6*0.4).

So the requred probability = 0.24 + 0.24

= 0.48.

8 0
2 years ago
Which statement best explains why the value of this expression is equal to −812y? 414x − 812y − 414x
GarryVolchara [31]
For this case we have the following expression:
 414x - 812y - 414x
 Rewriting we have:
 414x - 414x - 812y
 We group similar terms:
 (414x - 414x) - 812y
 Adding we have:
 0 - 812y
 - 812y
 Answer:
 
The sum of a number and its opposite is 0, and the sum of any number and 0 is the number itself.
5 0
3 years ago
Suppose you have a five dollar off coupon at a fabric store you buy a fabric that cost $10 per yard
Lunna [17]
<h3>Answer:</h3>

1.) 10x-5=y

2.) $85

3.) 5.25 yards of fabric.

<h3>Step-by-step explanation:</h3>

1.) To write an equation for this problem, we need to figure out what every value means:

the variable x, represents the amount of yards of fabric you can buy

the variable y, represents the total amount of money after you found out (x) or the amount of yards of fabric.

1 yard of fabric equals $10, and we have a $5 coupon (-5)

Our equation is:

10x-5=y

This equation represents the relationship between the total cost of fabric, and the amount that you can buy.

2. In order to solve this problem we need to use our equation, one value is given which is 9.

9 represents x, the amount of yards of fabric.

Substitute 9 into x:

10(9)-5=y

<h3>Solve:</h3>

90-5=y

85=y

85 represents the cost of 9 yards of fabric, including the $5 coupon.

3.) This problem is similar to #2, although it's flipped.

The value given is $47.50, which represents (y), the total amount of money after (x) was found out.

But, we need to figure out (x).

Substitute $47.50 into (y):

10(x)-5=$47.50

Next, we need to figure out x by solving the opposite.

Adding the coupon to our answer can represent 10(x).

$47.50+5=52.50

10(x)=52.50

Lastly, divide both sides of the equation by 10.

10(x) / 10=52.50 /10

x=5.25

5.25 represents the amount of yards of fabric purchased if you paid $47.50.

7 0
2 years ago
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