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Nana76 [90]
4 years ago
11

Solving Inequalities Unit Test. To see questions please go to PDF attachment below. You may not be able to access if you are on

a phone. I would like answers, but I really need someone to explain it to me.
Mathematics
1 answer:
Lostsunrise [7]4 years ago
5 0
Alright, I'll explain them as well.
1. The answer is 7, The open end of the sign is always to the larger number. 
2. The answer is 4, and again, the open end of the sign is always to the bigger number.
3. The answers is two, and as before, 2 is the only number that will not make it negative or 0 and make the larger number be to the open end of the sign.
4. I'm not entirely sure on this one, so I won't answer it because I don't want to be the reason you get it incorrect.
5. For this one, divide 180 by 2.25, this will give you 80. The inequality should be 2.25k ≥ 180, k <span>≥ 80.
I hope this helps, have a nice day :)</span>
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The sum of two numbers is 40 and the difference is 16. What are the numbers?
Alina [70]

Answer:

28 and 12

Step-by-step explanation:

The sum of two numbers is 40 and the difference is 16. What are the number? x+y=40 Substitute for x from above. (y+16)+y=40 Subtract 16 from each side.

7 0
3 years ago
One side of triangle twice the length of the shortest side and the 3rd side 14 more feet than length of shortest side, find dime
kifflom [539]
Let's say the sides are "a" first one, "b" second one and "c" the third one

ok, let's say the shortest is "a"
and let's say "b" is -> "<span> twice the length of the shortest side"
so b = 2a

and let's say "c" is -> "</span><span>3rd side 14 more feet than length of shortest side"
so c = a + 14

we know the perimeter ( sum of all sides ) is 154

</span>\bf \begin{array}{llll}&#10;a&b&c\\&#10;&\downarrow&\downarrow  \\&#10;&2a&a+14\\&#10;\downarrow &\downarrow &\downarrow \\&#10;\end{array}\\&#10;\ a+b+\ c=154\\\\&#10;a+(2a)+(a+14)=154
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5 0
3 years ago
You invested $3000 between two accounts paying 6% and 7% annual interest respectively if the total interest earned for the year
rusak2 [61]

Answer:

$2000 was invested at 6% and $1000 was invested at 7%

Explanation:

Let:

x= the amount invested at 6% annual interest

y= the amount invested at 7% annual interest

The total amount invested was $3000. So,

x+y =3000

or

y=3000-x ===> Equation 1

Then, the total interest earned for the year was $190. So,

0.06x+0.07y=190 =====> Equation 2

Substitute y=3000-x into 0.06x+0.07y=190.

\begin{gathered} 0.06x+0.07y=190 \\ 0.06x+0.07(3000-x)=190 \\ \text{Simplify and rearrange} \\ 0.06x+210-0.07x=190 \\ -0.01x+210=190 \\ 0.01x=210-190 \\ 0.01x=20 \\ x=\frac{20}{0.01} \\ \text{Calculate} \\ x=2000 \end{gathered}

Substitute x=2000 into x+y =3000.

So,

\begin{gathered} x+y=3000 \\ 2000+y=3000 \\ \text{Simplify and rearrange} \\ y=3000-2000 \\ \text{Calculate} \\ y=1000 \end{gathered}

Therefore, $2000 was invested at 6% and $1000 was invested at 7%.

4 0
1 year ago
True or false ?<br>1.5 &gt; 15%​
lapo4ka [179]

Answer:

true

Step-by-step explanation: trust me

8 0
3 years ago
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