All categories

4 years ago

Solve the inequality -24<×-3-8×. A.×>-3 B. ×<3 C.×>-9 D.×>3

1 answer:

8 0

In this question, you are given an equation with < (less than) sign. You can solve this equation and treat the less than sign same as an equal sign. The only difference is when you mirroring the equation or multiplying both sides with minus, which will change the direction of the sign. The calculation should be:
-24 < x-3 -8 x
-24 +3 < x - 8x
-21 < -7x
-21/-7 <x
3 <x
x>3

The answer is <span> D.×>3</span>

You might be interested in

A buyer purchases 20 percent of the 22000 widgets in a warehouse's inventory. The next day, another buyer purchases 10 percent o

DanielleElmas [232]

Answer:

15,840

Step-by-step explanation:

Multiplying 22,000 by 20% to get 4400, subtract.

Multiplying 17,600 by 10% to get 1,760, subtract.

Final answer, 15,840.

Good luck! Hope this helps!

6 0

2 years ago

Which inequality represents this sentence?

butalik [34]

A because D is less than or equal to, C is saying that 9 is bigger than 12 and B is incorrect because the sign is going to point towards the bigger number

4 0

4 years ago

Read 2 more answers

Y is inversely proportional to x.

Inessa [10]

Answer:

1. $xy = 63$

2. $y = 3$

Step-by-step explanation:

Given

Variation: inverse Proportion

y = 7, x = 9

Required

- Write an equation connecting y and x

- Find y when x = 21

Given that thee variation is inversely proportional;

This implies that

$y\ \alpha\ \frac{1}{x}$

Convert variation to equation

$y\ = \frac{k}{x}$ ----------- Equation 1

Where k is the constant of variation

Substitute 7 for y and 9 for x in equation 1

$7 = \frac{k}{9}$

Multiply both sides by 9

$9 * 7 = 9 * \frac{k}{9}$

$63 = k$

Substitute 63 for k in equation 1

$y = \frac{63}{x}$

Multiply both sides by x

$x * y = \frac{63}{x} * x$

$xy = 63$

Hence, the equation connecting x and y is $xy = 63$

Solving for when x = 21

Substitute 21 for x in the above equation

$21 * y = 63$

Divide both sides by 21

$\frac{21 * y}{21} = \frac{63}{21}$

$y = 3$

4 0

3 years ago

Explain why it can be helpful to use partial quotients when dividing?

Anastasy [175]

In mathematics, a quotient (from Latin: quotiens "how many times", pronounced ˈkwoʊʃənt) is the result of division. For example, when dividing 6 by 3, the quotient is 2, while 6 is called the dividend, and 3 the divisor.

3 0

3 years ago

There are 205 coins in a jar all of which are either nickles or quarters . The vaule of the coin in the jar is $31.85. if both o

Gnesinka [82]

Answer: There are 97 nickels and 108 quarters.

Step-by-step explanation:

Let x = Number of nickels, y = Number of quarters.

As per given,

x+y = 205 ...(i)

0.05x+0.25y = 31.85 ... (ii) [1 nickel = $0.05, 1 quarter = $ 0.25]

Multiply (ii) by 20, we get

x+5y=637 ...(iii)

Eliminate (i) from (iii)

4y = 432

⇒ y = 108 [Divide both sides by 4]

Put value of y in (i), we get

$108+x=205\Rightarrow\ x= 97$

Hence, there are 97 nickels and 108 quarters.

6 0

3 years ago