What fraction is between 3/4 and 1 ?

Mathematics

1 answer:

VLD [36.1K]2 years ago

8 0

7/8 is between 3/4 and 1

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Tomas works as an underwater photographer. He starts at a position that is 13 feet below sea level. He rises 6 feet, then descen

dangina [55]

Think of sea level as 0 on number line

-13 + 6 - 15

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3 years ago

20 is how much less than 30? What percent less?

LenKa [72]

Answer:

33.3333% decrease

Step-by-step explanation:

Percent change formula: $\frac{(x-y)}{|y|} *100$ , where x is the new value and y is the starting value.

Plug in values and solve:

$\frac{20-30}{30} *100\\\frac{-10}{30} *100\\-0.3333*100\\$

-33.3333% change, or a 33.3333% decrease.

7 0

3 years ago

P(x)= 3x^3-5x^2-14x-4

nexus9112 [7]

$\displaystyle\\
P(x)=3x^3-5x^2-14x-4\\\\
D_{-4}=\{-4;~-2;~\underline{\bf -1};~1;~2;~4\}\\\\
\text{We observe that } \frac{-1}{3} \text{ is a solution of the equation:}\\
3x^3-5x^2-14x-4=0\\\\
$

$\displaystyle\\
\text{Verification}\\\\
3x^3-5x^2-14x-4=\\\\
=3\times\Big(-\frac{1}{3}\Big)^3-5\times\Big(-\frac{1}{3}\Big)^2-14\times\Big(-\frac{1}{3}\Big)-4=\\\\
=-\frac{1}{9}-\frac{5}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{14}{3}-4=\\\\
=-\frac{6}{9}+\frac{42}{9}- \frac{4\times 9}{9}=\\\\
 =-\frac{6}{9}+\frac{42}{9}- \frac{36}{9}= \frac{42-6-36}{9}=\frac{42-42}{9}=\frac{0}{9}=0\\\\
\Longrightarrow~~~P(x)~\vdots~\Big(x+ \frac{1}{3}\Big)\\\\
\Longrightarrow~~~P(x)~\vdots~(3x+1)$

$\displaystyle\\
3x^3-5x^2-14x-4=0\\
~~~~~-5x^2 = x^2 - 6x^2\\
~~~~~-14x =-2x-12x \\
3x^3+x^2 - 6x^2-2x-12x-4=0\\
x^2(3x+1)-2x(3x+1) -4(3x+1)=0\\
(3x+1)(x^2-2x -4)=0\\\\
\text{Solve: } x^2-2x -4=0\\\\
x_{12}= \frac{-b\pm \sqrt{b^2-4ac}}{2a}=\\\\=\frac{2\pm \sqrt{4+16}}{2}=\frac{2\pm \sqrt{20}}{2}=\frac{2\pm 2\sqrt{5}}{2}=1\pm\sqrt{5}\\\\
x_1 =1+\sqrt{5}\\
x_2 =1-\sqrt{5}\\
\Longrightarrow P(x)= 3x^3-5x^2-14x-4 =\boxed{(3x+1)(x-1-\sqrt{5})(x-1+\sqrt{5})}$

7 0

3 years ago

an aircraft has 77 females on board. about 48% of all of the passengers are on board how many passengers are on board on the air

BabaBlast [244]

Answer:

160

Step-by-step explanation:

77 / 48 = 1.604

1.604 x 100 = 160.41 which is about 160 passengers in total.

4 0

3 years ago

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What is the midpoint of the segment below?

Veronika [31]

I am pretty sure it is B.

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3 years ago