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blsea [12.9K]
3 years ago
5

Hey y’all! I don’t understand this and maybe you guys could help me cuz...ya know that’s what this sight is for...haha. This is

the Solving One-Step Inequalities Practice assessment for Unit 5 lesson 9 Solving One-Step Inequalities for Connexus 6th graders.
————————————————
1. Solve the inequality 8x<48.
A) x<6 (I think it’s this one, but I’m not sure.)
B) x<40
C) x<56
D) x<13
————————————————
2. Solve the inequality 10+x>23.
A) x>2.3
B) x>13 (I think it’s this one)
C) x>33
D) x>230
————————————————
3. Solve the inequality x-14<28.
A) X<2
B) x<14
C)x<42
D)x<392
————————————————
4. Solve the inequality y/21< 3.
A) y<7
B) y<24
C) y<18
D) y<63
I have absolutely no idea how to do this problem
———————————————
5. The inequality 2 p < 18 can be used to determine how many pounds of apples are $2.00 per pound, p, you can buy will spending $18.00 or less. What is the greatest number of pounds of apples you can buy?
A) 9 pounds
B) 16 pounds
C) 20 pounds
D) 36 pounds
————————————————
6. Which values can be substituted for x to make the inequality x-4<0 true? Choose all that apply. There are 2 answers.
A) 0
B) 3 (I think this may be one of the answers)
C) 4
D) 18 (this one too)
————————————————
Please help me! I don’t understand almost all of this and the teachers aren’t much help :/ Thank you all for your time and for reading this. Have a blessed day.
Mathematics
1 answer:
kykrilka [37]3 years ago
3 0

Hello, I can give you some help w/ steps below! Hope this helps a lot :D

<em>1.</em>

8x < 48 || divide 8 on both sides of the equal sign

x < 6 || final answer, so <em>your correct</em>

<em>2</em>.

10 + x > 23 || subtract 10 on both sides of the equal sign

x > 13 || final answer, so <em>your correct</em>

<em>3.</em>

x - 14 < 28 || add 14 on both signs of the equal sign

x < 42 || final answer

<em>4.</em>

\frac{y}{21} < 3 || multiply 21 on both sides

y < 63 || final answer

<em>5.</em>

2p < 18 || divide 2 on both sides of the equal signs

p < 9 || final answer

<em>6. </em>i have no idea how to do this one, sorry!

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Describe the steps to dividing imaginary numbers and complex numbers with two terms in the denominator?
zlopas [31]

Answer:

Let be a rational complex number of the form z = \frac{a + i\,b}{c + i\,d}, we proceed to show the procedure of resolution by algebraic means:

1) \frac{a + i\,b}{c + i\,d}   Given.

2) \frac{a + i\,b}{c + i\,d} \cdot 1 Modulative property.

3) \left(\frac{a+i\,b}{c + i\,d} \right)\cdot \left(\frac{c-i\,d}{c-i\,d} \right)   Existence of additive inverse/Definition of division.

4) \frac{(a+i\,b)\cdot (c - i\,d)}{(c+i\,d)\cdot (c - i\,d)}   \frac{x}{y}\cdot \frac{w}{z} = \frac{x\cdot w}{y\cdot z}  

5) \frac{a\cdot (c-i\,d) + (i\,b)\cdot (c-i\,d)}{c\cdot (c-i\,d)+(i\,d)\cdot (c-i\,d)}  Distributive and commutative properties.

6) \frac{a\cdot c + a\cdot (-i\,d) + (i\,b)\cdot c +(i\,b) \cdot (-i\,d)}{c^{2}-c\cdot (i\,d)+(i\,d)\cdot c+(i\,d)\cdot (-i\,d)} Distributive property.

7) \frac{a\cdot c +i\,(-a\cdot d) + i\,(b\cdot c) +(-i^{2})\cdot (b\cdot d)}{c^{2}+i\,(c\cdot d)+[-i\,(c\cdot d)] +(-i^{2})\cdot d^{2}} Definition of power/Associative and commutative properties/x\cdot (-y) = -x\cdot y/Definition of subtraction.

8) \frac{(a\cdot c + b\cdot d) +i\cdot (b\cdot c -a\cdot d)}{c^{2}+d^{2}} Definition of imaginary number/x\cdot (-y) = -x\cdot y/Definition of subtraction/Distributive, commutative, modulative and associative properties/Existence of additive inverse/Result.

Step-by-step explanation:

Let be a rational complex number of the form z = \frac{a + i\,b}{c + i\,d}, we proceed to show the procedure of resolution by algebraic means:

1) \frac{a + i\,b}{c + i\,d}   Given.

2) \frac{a + i\,b}{c + i\,d} \cdot 1 Modulative property.

3) \left(\frac{a+i\,b}{c + i\,d} \right)\cdot \left(\frac{c-i\,d}{c-i\,d} \right)   Existence of additive inverse/Definition of division.

4) \frac{(a+i\,b)\cdot (c - i\,d)}{(c+i\,d)\cdot (c - i\,d)}   \frac{x}{y}\cdot \frac{w}{z} = \frac{x\cdot w}{y\cdot z}  

5) \frac{a\cdot (c-i\,d) + (i\,b)\cdot (c-i\,d)}{c\cdot (c-i\,d)+(i\,d)\cdot (c-i\,d)}  Distributive and commutative properties.

6) \frac{a\cdot c + a\cdot (-i\,d) + (i\,b)\cdot c +(i\,b) \cdot (-i\,d)}{c^{2}-c\cdot (i\,d)+(i\,d)\cdot c+(i\,d)\cdot (-i\,d)} Distributive property.

7) \frac{a\cdot c +i\,(-a\cdot d) + i\,(b\cdot c) +(-i^{2})\cdot (b\cdot d)}{c^{2}+i\,(c\cdot d)+[-i\,(c\cdot d)] +(-i^{2})\cdot d^{2}} Definition of power/Associative and commutative properties/x\cdot (-y) = -x\cdot y/Definition of subtraction.

8) \frac{(a\cdot c + b\cdot d) +i\cdot (b\cdot c -a\cdot d)}{c^{2}+d^{2}} Definition of imaginary number/x\cdot (-y) = -x\cdot y/Definition of subtraction/Distributive, commutative, modulative and associative properties/Existence of additive inverse/Result.

3 0
2 years ago
SOMEONE HELP PLEASE!! ITS DUE AT 16:00 UK TIME ILL GIVE YOU BRAINLIEST IF ITS RIGHT!!!
tino4ka555 [31]

Answer:

From left column to right

Left                             Right

1. 23a+18                         1. 7a-6

2. 23a-6                           2. 7a-18

3.  23a-18                             3. 7a+6

4. 0a+4                               4. 0a+0

Step-by-step explanation:

The first example you distribute by doing 3 x 5a plus 3 x 2 + 4 x 2a + 4 x 3

Answer is 15a+6+8a+12=

23a+18

Hope this helped :)

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2 years ago
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Answer:

-7,-4,-3,+1,+8

Step-by-step explanation:

The bigger the negative number, the less it's worth

3 0
2 years ago
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In how many ways can a quality-control engineer select a sample of3 transistors for testing frm a batch of 100 transistors?
Advocard [28]

Answer:

161700 ways.

Step-by-step explanation:

The order in which the transistors are chosen is not important. This means that we use the combinations formula to solve this question.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this question:

3 transistors from a set of 100. So

C_{100,3} = \frac{100!}{3!(100-3)!} = 161700

So 161700 ways.

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3 years ago
6) 2/3 is this a integer, whole number, or a rational number.​
AlekseyPX

Answer:

rational number

Step-by-step explanation:

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