Which statement is equivalent to the inequality 5z<30

Answers

Answer 1
Answer: z < 6. Just divide each side by 5 :)

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one common factor of 2 numbers is 40 another common factor is 10 if both numbers are less than 100 what are the two numbers

∡rst is a right angle. if rs has a slope of 3, what must be the slope of st?

Answers

Answer:

The slope of st is -1/3

Step-by-step explanation:

we know that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m1*m2=-1

we have

m1=3

substitute and solve for m2

(3)*m2=-1

m2=-(1)/(3)

therefore

The slope of st is -1/3

I need help with this! 4-6 those are the questions I need help on

Answers

1. vertical(because they are across from each other when lines cross and form an x)
2. neither
3. adjacent(because they share a side or if you think about it like neighbors share a fence.)

A store is selling a TV for $389. This is %64 less than the regular price. What is the regular price?

Answers

A percentage is a number or ratio that can be expressed as a fraction of 100.

The selling price of the TV is $389 which is 36%.

The regular price is 100%.

The regularprice of the Tv is $1080.56.

What is a percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100.

We have,

Selling price of a tv = $389

$389 is 64% less than the regular price.

This means that $389 is 36% of the regular price.

[ 100 - 64 = 36% ]

Regular price = 100%

If 36% = 389

Multiplying 100/36 on both sides.

100/36 x 36% = 100/36 x 389

100% = 38900/36

100% = $1080.56

Thus the regularprice of the Tv is $1080.56.

Learn more about percentages here:

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64%      =       $389
___                ____

100%                X$               = Cross multiplication. (64x = 38900 = $607.81)

I rounded it.

Hope I become the brainliest answer.

The total number of legs , 1,500 , on four-legged and two-legged animals in a zoo can be represented by the equation 4x+2y=1,500. Interpret the x- and y- intercepts. Please show work so I can understand , if yu cant you can just give me the answers.

Answers

You need to clear the variables by moving everything else to the other side of the equal sign. So..

X
1) subtract 2y on each side => 4x = 1500 - 2y
2) divide by 4 => x = (1500-2y)/4

Y
1) subtract 4x on each side => 2y = 1500 - 4x
2) divide by 2 => y = (1500 - 4x)/2

Final answer:

The equation 4x + 2y = 1,500 refers to a zoo with two- and four-legged animals. The x-intercept at x = 375 represents the scenario with only four-legged animals, while y-intercept at y = 750 refers to the situation with only two-legged animals.

Explanation:

In the equation 4x + 2y = 1,500, 'x' stands for the number of four-legged animals and 'y' stands for the number of two-legged animals. The x-intercept is the value of 'x' when 'y' is zero, and the y-intercept is the value of 'y' when 'x' is zero. This can be calculated by setting the other variable to zero and solving for the remaining variable. For the x-intercept, when y=0, the equation becomes 4x = 1,500. Solving this gives x = 375. This implies that if there were no two-legged animals, there would be 375 four-legged animals. Similarly, for the y-intercept, when x=0, the equation becomes 2y = 1,500. Solving this gives y = 750, implying that if there were no four-legged animals, there would be 750 two-legged animals.

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Is a 78 degree angle a right,straight,obtuse or acute angle

Answers

Acute. 90 degrees is a right angle, 180 degrees is a straight angle, obtuse angles are greater than 90 degrees, while acute are less than 90 degrees.
Acute because it is less than 90o which is a right angle and obtuse is larger than 90o so there for it is acute angle which is less than 90o

23ft how many inches?

Answers

1 ft = 12 inches
23ft you have to multiply 12 by 23 = 276 inches
276 inches = 23 ft
you multiply 12x23=276 because 1ft = 12in