Witch of the following statements is true

Mike drank more than half the juice in his glass. what fraction of the juice could Mike have drunk?

maxonik [38]

He drank more than half of his drink... So we need to look for fractions greater than 1/2.

First, lets find equivalents of 1/2

$\frac{1}{2}= \frac{2}{4} = \frac{3}{6}= \frac{4}{8}$

If all of these fractions are equal to 1/2, then by adding to the numerator of these fractions, we'l have fractions greater than 1/2.

2 +1 3
__= ___
4 4

3/4 is greater than 1/2

Mike could have drunken 3/4 of the juice

4/6>1/2 Mike could have drunken 4/6 of the juice

5/8 is greater then 1/2 Mike could have drank 5/8 of the drink.

Answer=3/4, 4/6, 5/8 and many more possible fractions

4 0

3 years ago

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PLS HELP I GIVE BRAINLIEST

barxatty [35]

Answer:

Step-by-step explanation:

If ΔLMN ≅ ΔXYZ, then corresponding angles and corresponding segments are congruent:

∠L ≅ ∠X

∠M ≅ ∠Y

∠N ≅ ∠Z

and

LM ≅ XY

MN ≅ YZ

LN ≅ XZ

7 0

3 years ago

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What are the solutions to the following system of equations? y = x2 + 3x − 7 3x − y = −2 (2 points) (3, 11) and (−3, −7) (11, 3)

Minchanka [31]

ANSWER

(3, 11) and (−3, −7)

EXPLANATION

The given system of equations are:

$y = {x}^{2} + 3x - 7$

and

$3x - y = - 2$

or

$y = 3x + 2$

We equate the two equations to obtain,

${x}^{2} + 3x - 7 = 3x + 2$

We rewrite in standard quadratic form to obtain,

${x}^{2} + 3x - 3x - 7 - 2 = 0$

This simplifies to

${x}^{2}- 9= 0$

We solve for x to obtain,

${x}^{2} = 9$

$x = \pm \sqrt{9}$

$x = \pm 3$

$x = 3 \: or \: x = - 3$

When
$x = 3$

$y = 3(3) + 2 = 11$

When x=-3,

$y = 3( - 3) + 2 = - 7$

Therefore the solution for the system is (3, 11) and (−3, −7).

7 0

3 years ago

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A piece of stained glass in a shape of a right triangle has side measuring 8 centimeters 15 centimeters and 17 centimeters. What

Umnica [9.8K]

60<span>cm²
__________________________________________________________
-xo Cote♥
</span>

5 0

3 years ago

Which expression is equivalent??? help!

dexar [7]

Answer:

The equivalent expression for the given expression $\sqrt[3]{256x^{10}y^{7} }$ is

$4x^{3} y^{2}(\sqrt[3]{4xy} )$

Step-by-step explanation:

Given:

$\sqrt[3]{256x^{10}y^{7} }$

Solution:

We will see first what is Cube rooting.

$\sqrt[3]{x^{3}} = x$

Law of Indices

$(x^{a})^{b}=x^{a\times b}\\and\\x^{a}x^{b} = x^{a+b}$

Now, applying above property we get

$\sqrt[3]{256x^{10}y^{7} }=\sqrt[3]{(4^{3}\times 4\times (x^{3})^{3}\times x\times (y^{2})^{3}\times y )} \\\\\textrm{Cube Rooting we get}\\\sqrt[3]{256x^{10}y^{7} }= 4\times x^{3}\times y^{2}(\sqrt[3]{4xy}) \\\\\sqrt[3]{256x^{10}y^{7} }= 4x^{3}y^{2}(\sqrt[3]{4xy})$

∴ The equivalent expression for the given expression $\sqrt[3]{256x^{10}y^{7} }$ is

$4x^{3} y^{2}(\sqrt[3]{4xy} )$

5 0

3 years ago

Witch of the following statements is true​

Witch of the following statements is true