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Elza [17]
2 years ago
14

The solution set for an inequality is graphed on this number line which numbers below belong to the solution set of the inequali

ty

Mathematics
1 answer:
Rudiy272 years ago
7 0

Answer:

B, C E and F

Step-by-step explanation:

The inequality is x > -30

the numbers belonging to the solution are all on the heavy line.

Note -30 is not included because of the clear circle on -30

also -44 is not on the heavy line.


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A cash box contains $74 made up of quarters, half-dollars, and one-dollar
Strike441 [17]

Answer:

25 one-dollar coins, 16 half-dollar coins, and 164 quarters

Step-by-step explanation:

First, set up equations based on the information given:

0.25q+0.50h+1.00d=74

\displaystyle{h=\frac{3}{5}d+1}

q=4(d+h)

Then, substitute <em>q</em> in the first equation with the expression from the third equation:

0.25[4(d+h)]+0.50h+1.00d=74\\1d+1h+0.50h+1.00d=74\\2d+1.5h=74

Next, substitute <em>h</em> in that equation with the expression from the second equation:

\displaystyle{2d+1.5(\frac{3}{5}d+1)=74}

2d+0.9d+1.5=74\\2.9d+1.5=74

Solve for <em>d</em>, the number of one-dollar coins:

2.9d+1.5=74\\2.9d=72.5\\d=25

Substitute 25 for <em>d</em> in the second equation to find <em>h</em>, the number of half-dollar coins:

\displaystyle{h=\frac{3}{5}d+1}

\displaystyle{h=\frac{3}{5}(25)+1}

h=15+1\\h=16

Substitute 25 for <em>d</em> and 16 for <em>h</em> in the third equation to find <em>q</em>, the number of quarters:

q=4(d+h)\\q=4(25+16)\\q=4(41)\\q=164

Then, verify that the coins total $74:

0.25(164)+0.50(16)+1.00(25)=74\\41+8+25=74\\74=74\\\text{Check.}

Next, verify that the number of half-dollar coins is one more than three-fifths of the number of one-dollar coins:

\displaystyle{h=\frac{3}{5}d+1}

\displaystyle{16=\frac{3}{5}(25)+1}

16 = 15 + 1\\16 = 16\\\text{Check.}

Finally, verify that the number of quarters is four times the number one-dollar and half-dollar coins together:

q=4(d+h)\\164=4(25+16)\\164=4(41)\\164=164\\\text{Check.}

6 0
3 years ago
A. Find 33 and a third % of 879
Anvisha [2.4K]

Answer:

Step-by-step explanation:

4 0
2 years ago
This is a middle school question Solve for x. 1.2(x - 4.4 ) + 7 &lt; 16 plssss hurry
Tatiana [17]

Answer: x < 11.9

Step-by-step explanation:

8 0
2 years ago
What is 12 divided by 3 as an algebraic expression
butalik [34]
12/3 or the same thing as ur question but just add a division sign, eg. difference of two and one that would be 2-1
6 0
2 years ago
You want your daily sodium intake to be less than 2300 milligrams. For breakfast, you eat a cereal bar with the nutrition label
ipn [44]

According to the information in the nutritional table, it can be inferred that the amount of milligrams of sodium that we should consume during the rest of the day must be less than 2,175mg,

<h3>How to calculate the amount of sodium we can consume?</h3>

To calculate the amount of sodium that we can consume during the rest of the day after breakfast, we must subtract the value of sodium consumed to the amount of total sodium that we want to ingest as shown below:

  • 2300mg - 125mg = 175mg

According to the above, it can be inferred that after consuming the cereal bar at breakfast, we should consume an amount less than or equal to 2,175mg of sodium in the other meals of the day (lunch, dinner and snacks).

Learn more about sodium in: brainly.com/question/24010534

#SPJ1

8 0
1 year ago
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