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Kitty [74]
3 years ago
11

Progress:

Mathematics
1 answer:
JulsSmile [24]3 years ago
4 0

Answer:

Option (1)

Step-by-step explanation:

Given inequality is.

4x + 5 ≥ 13

We will further solve this inequality,

(4x + 5) - 5 ≥ 13 - 5

4x ≥ 8

\frac{4x}{4}\geq \frac{8}{4}

x ≥ 2

Therefore, on a number line solution of x will be all values of x greater than equal to 2.

Which will be represented by and arrow starting with a solid point from x = 2 directing towards numbers greater than 2.

Option (1) will be the answer.

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Lines b and care parallel.
Nastasia [14]

Step-by-step explanation:

5x+9 + 13x+9 = 180

18x+18= 180

divided by 18

x+1 = 10

x = 9

therefore, m <em>L</em><em> </em>6 = 5x+9

= 5(9)+9 = 54° (second option)

8 0
3 years ago
How would you write in standard form 8 thousands+1200 hundreds
Alex_Xolod [135]
It is basically 8 thousand plus one thousand two hundred so your answer would be 9200
4 0
3 years ago
Melanie buys 6 pounds of beef and 3 pounds of bacon. She pays a total of $63,
kupik [55]

Answer:

Cost of 1 beef= $7.5

Cost of 1 bacon= $6

Step-by-step explanation:

Ok so first of organize everything:

We know she buys 6 pounds ->beef and 3 pounds ->bacon

First we need to set up an equation of how much 1 beef costs and 1 bacon costs:

Let’s say f=cost of 1 beef and b=cost of 1 bacon

Now lets make the equation:

6f+3b=63. (She buys 6 portions of beef and 3 bacon and her total comes out to 63)

Now their is another condition that the cost of one bacon is -$1.50 per pound than beef.

So we can say b=f-1.50

Do you notice anything similar? The b has a value now and so we can replace the b in our first equation with the b of the 2nd (b=b)

So hence,

6f+3(f-1.50)=63

6f+3f-4.5=63

9f=67.5

F=7.5 (This is the cost for 1 pound of beef)

Now lets find out for bacon,. Now instead of doing this equation all over again just insert it into the b=f-1.5 you know make life easier for yourself:

B=7.5-1.5

B=6

Cost of 1 beef= $7.5

Cost of 1 bacon= $6

4 0
3 years ago
I have a mix of 12 nickels and dimes in my pocket. All together I have $1 . How many nickles and dimes do I have?
fenix001 [56]

Answer:

Step-by-step explanation:

n + d = 12

0.05n + 0.1d = 1    ║ × ( - 10 )

n + d = 12 ..... <em>(1)</em>

- 0.5n - d = - 10 ..... <em>(2)</em>

<em>(1)</em> + <em>(2)</em>

0.5n = 2 ⇒ n = 4

d = 12 - 4 = 8

There are <em>4 nickels</em> and <em>8 dimes</em> in the pocket.

8 0
3 years ago
Which decimal Best represents 27.2%
Taya2010 [7]

To write a percent as a decimal you move the decimal point two spaces to the left. Therefore the decimal best representing 27.2% would be .272

6 0
3 years ago
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