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Fudgin [204]
4 years ago
9

mary had 1 3/4 pound of blackberries. Mary's friend ate 3/4 of the blackberries. How many pounds of blackberries did Mary friend

eat?
Mathematics
1 answer:
OLEGan [10]4 years ago
3 0

Hey there! I'm happy to help!

If Mary's friend at 3/4 of blackberries, we will simply multiply the total number of blackberries by 3/4 to find how many blackberries Mary ate.

3/4×1 3/4= 1 5/16

Therefore, Mary's friend at 1 5/16 pounds of blackberries.

I hope that this helps! Have a wonderful day!

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A box has a volume of 192 cubic inches, a length that is twice as long as its width, and a height that is 2 inches greater than
ruslelena [56]

Answer:

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

Step-by-step explanation:

Cuboid : A cuboid is a three dimension shape. The length ,breadth and height of a cuboid are not same.

  • A cuboid has 6 faces.
  • A cuboid contains 8 vertices.
  • A cuboid contains 12 edges .
  • The total surface area of a cuboid is

           = 2(length×breadth+breadth×height+length×height) square units

  • The dimension of a cuboid is written as length×breadth×height.
  • The volume is( length×breadth×height) cubic units

Given that the volume of the box is 192 cubic inches.

Let x inches be the width of the cuboid.

Since the length is twice as long as its width.

Then length = 2x inches

Again height is 2 inches longer than width.

Then height = (x+2) inches.

Therefore the volume of the cuboid is

=[x\times 2x\times (x+2)]   cubic inches

=[2x^2(x+2)]     cubic inches

=(2x^3+4x^2)     cubic inches

According to the problem,

2x^3+4x^2=192

\Rightarrow 2x^3+4x^2-192=0

\Rightarrow 2(x^3+2x^2-96)=0

\Rightarrow (x^3+2x^2-96)=0

\Rightarrow x^3-4x^2+6x^2-24x+24x-96=0

\Rightarrow x^2(x-4) +6x(x-4)+24(x-4)=0

\Rightarrow (x-4)(x^2+6x+24)=0

Therefore x=4

Since the all zeros of x²+6x+24 =0 is negative.

Therefore breadth = 4 inches

 length=(2×4) inches=8 inches

 and height = (4+2)inches = 6 inches.

Therefore the dimension of the cuboid is 8 inches×4 inches ×6 inches.

8 0
3 years ago
4(m - 3) = 36 PLEASE STEP BY STEP EXPLANATION IN WORDS!
Helen [10]

Answer: 12

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
2x²-5x-12=0 (simplify solution set)
Arada [10]

Answer:

x = 4 or x = -3/2

Step-by-step explanation:

To simplify and solve this, let's use the quadratic formula.

So the format of a quadratic equation is supposed look like this:

ax^2+bx+c=0

Let's find a, b, c:

  • a is the coefficient of x^2
  • b is the coefficient of x
  • c is the constant term

Now let's solve the equation.

Let's solve your equation step-by-step.

2x^2−5x−12=0

For this equation: a=2, b=-5, c=-12

2x^2+−5x+−12=0

Step 1: Use quadratic formula with a=2, b=-5, c=-12.

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}

x=\frac{-(-5)\pm\sqrt{(-5)^2-4(2)(-12)} }{2(2)}

x=\frac{5\pm\sqrt{121} }{4}

x=4 or x=\frac{-3}{2}

<u />

<u>Answer:</u>

x = 4 or x = -3/2

7 0
2 years ago
A dog eats 0.1 lb of food each day how much does he eat in 10 days
Andrei [34K]
Since the dog eats 0.1 pounds of food each day for ten days, the equation to solve this is 0.1 times 10.

0.1 *10 = 1

The dog eats 1 pound of food in 10 days.
6 0
3 years ago
Which statements are true about the solution of 15 greater-than-or-equal-to 22 + x? Select three options. x greater-than-or-equa
Sidana [21]

Answer:

x \leq  -7

The graph has a closed circle.

–7 is part of the solution.

Step-by-step explanation:

Given

15 \geq 22 + x

Required

Select 3 options from the given list of options

15 \geq 22 + x

Subtract 22 from both sides

15 - 22 \geq 22 - 22+ x

-7 \geq x

Swap positions of the expression; Note that the inequality sign will change

x \leq  -7

This means  <em>x less-than-or-equal-to negative 7</em>

<em></em>

There are two options left to select;

The inequality sign in x \leq  -7 implies that the graph has a close circle.

Inequality signs such as \leq and  \geq signifies a close circle

There is only one option left to select;

Lastly;

Split the expression x \leq  -7 into two

We have:

x < -7 or x = -7

Because x = 7,

Then, -7 is also a part of the solution

3 0
4 years ago
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