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3 years ago

-3x>18 (not in high school in middle school)

Mathematics

2 answers:

Alexus [3.1K]3 years ago

4 0

Answer:

x < -6

Step-by-step explanation:

grigory [225]3 years ago

3 0

Answer:

x<-6

Step-by-step explanation:

-3x>18

Divide by -3, flip the sign since dividing by a negative.

x<-6

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Rewrite the following expression without using absolute value. I3-√4I

nataly862011 [7]

Hey there!

$\mid 3-\sqrt{4} \mid$

Square root of four is positive or negative 2.

$\mid 3 - \pm 2 \mid$

So we have:

$\mid 3-2 \mid$ or $\mid 3+2 \mid$

Add or subtract.

$\mid 1 \mid$ or $\mid 5 \mid$

Simplify the absolute value bars.

1 or 5

Hope this helps!

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3 years ago

Read 2 more answers

When dividing 1 by a number N to produce a decimal, what is the maximum size of the repeating portion?

AnnZ [28]

Great question. The answer is N-1.

Think about doing long division. We append a 0, get another digit in the quotient, multiply and subtract to get a remainder. We can assume that remainder is not zero because then we wouldn't have a repeating decimal. At each step the remainder has to be less than N, because we're dividing by N.

So there are N-1 possibilities for the remainder. On the off chance we generate N-1 digits and N-1 remainders and none repeat, we know the next one will repeat, because we've already generated all the possible remainders.

So the largest size of the repeating portion is N-1. This maximum happens first for 1/7.

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3 years ago

If Janet has 5 yards of fabric that is 2 1/4 feet wide, and she used 1/3 of it to make one kind of curtains, and the rest to mak

Marina CMI [18]

11 1/4

Step-by-step explanation:

the yards have to be converted to feet

1 yards = 3 feet

5 yards x 3 = 15 feet

Area of a rectangle = length x width

15 x 2 1/4

15 x 9/4 = 33 3/4

33 3/4 x 1/3 = 135 /12 = 11 1/4

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3 years ago

Find the distance between the parallel lines 2x+y=10 and 2x+y=8

antoniya [11.8K]

Answer:

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3 years ago

Kim and Danielle each improved their yards by planting hostas and ivy. They bought their supplies from the same store. Kim spent

svetlana [45]

Answer:

The cost of one hosta is $6

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the variables are:

x = price of a hosta .
y = price of a pot of ivy.

If Kim spent $62 on 5 hostas and 4 pots of ivy, t his is represented by the equation: 5*x +4*y= 62

If Danielle spent $144 on 8 hostas and 12 pots of ivy, t his is represented by the equation: 8*x +12*y=144

So, the system of equations to solve is:

$\left \{ {{5*x+4*y=62} \atop {8*x+12*y=144}} \right.$

One way to solve a system of equations is through the substitution method, which consists of solving or isolating one of the unknowns (for example, x) and substituting its expression in the other equation. In this way, you obtain an equation of the first degree with the other unknown, and. Once solved, you calculate the value of x by substituting the already known value of y.

Isolating y from the first equation:

$y=\frac{62-5*x}{4}$

and replacing this expression in the second equation you get:

$8*x +12*\frac{62-5*x}{4}=144$

Solving:

$8*x +\frac{12}{4}*(62-5*x)=144$

8*x + 3*(62-5*x)=144

8*x + 3*62 - 3*5*x=144

8*x + 186 - 15*x=144

8*x - 15*x=144 -186

(-7)*x= -42

x= (-42)÷ (-7)

x= 6

<u><em>The cost of one hosta is $6</em></u>

8 0

3 years ago