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2 years ago

What digits can be in the ones place of a number that has 5 as a factor

Mathematics

1 answer:

ra1l [238]2 years ago

6 0

The only two numbers can be a factor of 5 in the ones place is 5 and 1

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Which quadratic equation has roots –2 and 1/5?

AysviL [449]

Answer:

The equation $5x^2\:+\:9x\:-\:2\:=\:0$ has roots –2 and 1/5.

Hence, the option 'a' is the correct answer.

Step-by-step explanation:

Checking the equation

$5x^2\:+\:9x\:-\:2\:=\:0$

putting x = -2 in the equation

$5\left(-2\right)^2\:+\:9\left(-2\right)-\:2\:=\:0\:$

$2^2\cdot \:\:5-9\cdot \:\:2-2=0$

$2^2\cdot \:5-18-2=0$

$20-20=0$

$0=0$

L.H.S=R.H.S

putting x = 1/5 in the equation

$5\left(\frac{1}{5}\right)^2\:+\:9\left(\frac{1}{5}\right)-\:2\:=\:0\:$

$5\left(\frac{1}{5}\right)^2+9\cdot \:\frac{1}{5}-2=0$

$\frac{1}{5}+\frac{9}{5}-2=0$

$2-2=0$

$0=0$

L.H.S=R.H.S

As putting x = -2 and x = 1/5 satisfy the equation.

Therefore, the equation $5x^2\:+\:9x\:-\:2\:=\:0$ has roots –2 and 1/5.

Hence, the option 'a' is the correct answer.

4 0

2 years ago

Lloyd is arranging his science project, math project, and art project on his desk. The tree diagram below shows the sample space

Margarita [4]

The tree diagram is constructed and attached below in the image.

First we have to make a choice out of 3 subjects, so the probability of choosing art as the first subject is 1/3.

Once we have chosen art as the first subject, we have two choices. So the probability of choosing each option now is 1/2. Thus, the probability of choosing math, science is 1/2.

The probability of choosing the projects in order of art, math, science = 1/3 x 1/2 = 1/6

Therefore, the probability that the projects are in order of art, math, science is 1/6 (one over 6). So first option gives the correct answer.

6 0

2 years ago

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Soo I need help... can u help?

Luda [366]

Answer:

I think its (6042 = 1780 + a) but I'm not really sure though but I hope if that helped somehow

6 0

3 years ago

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One of the parking lot lights at a hospital has a motion detector on it, and the equation (x+10)2+(y−8)2=16 describes the bounda

Pani-rosa [81]

We are given an equation:
$(x+10)^{2} + (y-8)^{2} = 16$

This is an equation of a circle. General form of a circle equation is:
$(x-a)^{2} + (y-b)^{2} = r^{2}$
Where:
a = x coordinate of a center
b = y coordinate of a center
r = radius of a circle

Motion detector can detect person anywhere within a boundary. The greatest distance at which detector can detect is at the edge of a circle. That distance, between detector and edge of circle, is equal to radius.

From the equation we have:
$r^{2} =16 \\ r=4$
The greatest distance at which person can be detected is 4ft.

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2 years ago

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How many eighth graders chose History as their favorite subject. Round answer to the nearest whole number.

Elenna [48]

The percentage of eighth-graders that chose History as their favorite subject is 19%

<h3>Percentages and proportion</h3>

From the given table, we have the following parameters

Total students in the 8th grade = 124 students

Total number of 8th graders that chose history = 11 + 12

Total number of 8th graders that chose history = 23

Required percentage = 23/124 * 100

Required percentage = 19%

Hence the percentage of eighth-graders that chose History as their favorite subject is 19%

Learn more on percentages here: brainly.com/question/24304697

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2 years ago