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Temka [501]
2 years ago
10

What is the solution to the inequality?

Mathematics
2 answers:
alina1380 [7]2 years ago
7 0

Answer:

x > -24

Step-by-step explanation:

-x/4 < 6

Multiply each side by -4, remembering to flip the inequality

-x/4  *-4> 6*-4

x > -24

DiKsa [7]2 years ago
7 0

\boxed{\large{\bold{\red{ANSWER~:) }}}}

  • x>-24
<h2>Step-by-step explanation:</h2>

  • \sf{\dfrac{-x}{4}

  • \sf{\dfrac{-x}{4}×(-4)>6×(-4)   }

  • \sf{ x>-24  }

\bold{ Note -  }

  • By multiply negetive number,we need to change the side of the inequality.
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A hamster runs at 17 centimeters per second in a wheel of radius 15 centimeters how fast will the wheel spin in revolutions per
dolphi86 [110]

Answer:

10.82 revolutions per mintue

Step-by-step explanation:

First we need the circumference of the cirkel. As you may know the formula for that is 2×pi×r, with r as the radius of the cirkel. So 2×pi×15=30pi centimeters or 94.24 centimeters. Now we will calculate the fraction of 17 centimeters on 94.24 centimeters. 17/94.24=0.18. That is how fast the wheel will spin. To get it in minutes we now do: 0.18×60=10.82 revolutions per minute.

4 0
2 years ago
In a basketball game, a regular basket was worth 2 points and a long-distance basket was worth 3 points. if there were 45 basket
IgorLugansk [536]
Let
 x: number of regular basketball
 y: number of long-distance basket
 We have the following system of equations:
 2x + 3y = 96
 x + y = 45
 Solving the system we have
 y = 45-x
 2x + 3 (45-x) = 96
 2x +135 -3x = 96
 -x = 96 -135
 x = 39
 Then,
 y = 45-x
 y = 45-39
 y = 6
 answer
 were made
 regular baskets = 39
 long-distance baskets = 6
3 0
3 years ago
What do u do when the question says what is an area of the rectangle Like
Anastaziya [24]

Answer:

multiply

Step-by-step explanation:

Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width.

6 0
2 years ago
In a triangle ABC, measure of angle B is 90 degrees. AB is 3x-2 units and BC is x+3. If the area of the triangle is 17 sq cm, fo
Scorpion4ik [409]

Answer:

x=\frac{8}{3}\ cm

Step-by-step explanation:

we know that

The area of the right triangle ABC is equal to

A=\frac{1}{2}(AB)(BC)

we have

A=17\ cm^2

AB=(3x-2)\ cm

BC=(x+3)\ cm

substitute the values

17=\frac{1}{2}(3x-2)(x+3)

34=(3x-2)(x+3)

34=3x^2+9x-2x-6

3x^2+7x-6-34=0

3x^2+7x-40=0

The formula to solve a quadratic equation of the form

ax^{2} +bx+c=0

is equal to

x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}

in this problem we have

3x^2+7x-40=0

so

a=3\\b=7\\c=-40

substitute in the formula

x=\frac{-7(+/-)\sqrt{7^{2}-4(3)(-40)}} {2(3)}

x=\frac{-7(+/-)\sqrt{529}} {6}

x=\frac{-7(+/-)23} {6}

x=\frac{-7(+)23} {6}=\frac{16}{6}=\frac{8}{3}

x=\frac{-7(-)23} {6}=-5

therefore

The solution is

x=\frac{8}{3}\ cm

6 0
2 years ago
Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best po
Brrunno [24]

Answer: (0.63, 7.07)

Step-by-step explanation:

The confidence interval for population proportion is given by :-

\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}

Given :\hat{p} =0.7 ;  n=110

Significance level : 1-0.90=0.1

Critical value :  z_{\alpha/2}=1.645

Now, a 90% confidence interval for population proportion will be :-

0.7\pm (1.645)\sqrt{\dfrac{0.7(1-0.7)}{110}}\\\\\approx0.7\pm0.07\\\\=(0.7-0.07,0.7+0.07)=(0.63,\ 7.07)

Hence, a 90% confidence interval for population proportion = (0.63, 7.07)

5 0
2 years ago
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