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cupoosta [38]
4 years ago
14

Solve 2(4x + 3) < 5x + 21.

Mathematics
1 answer:
scoundrel [369]4 years ago
5 0
First you simplyify both sides,

8x+6<5x+21

Then you subtract both sides,

8x+(6−5x)<5x+(21−5x)

<span><span><span>3x</span>+6</span><21

</span>Subtract 6 from both sides,

<span><span><span><span>3x</span>+6</span>−6</span><<span>21−6

</span></span><span><span>3x</span><15

</span>finally you divide both sides by 3,

\frac{3x}{3}  \ \textless \   \frac{15}{3}
Your answer is:<span>x<<span>5

Glad I could help. c:</span></span>
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Given the first type of plot indicated in each pair: which of the second plots could not always be generated from it? a. dot plo
Elenna [48]

Answer:

C

Step-by-step explanation:

Dot plot is usually in the form of stem & leaf. The only difference is that, stem& leaf presents the actual values while dot plot usually represent the value in dots. Hence, we can easily generate dot plot from stem & leaf!

For (a) dot plot and box plot, dot plot presents all the data while box plot presents only the five-num statistics, namely:

1. minimum

2. 1st quartile (Q1)

3. median

4. 3rd quartile (Q3)

5. Maximum

And outliers, if any!

Thus, dot plot cannot directly generate box plot

For (b). Histogram and stem & leaf. Although both usually help us understand the skewness of data distribution, however, histogram deals with frequency distribution (counts of number of occurrence) and plotted on the intervals and stem&leaf list the values.

For (d). Even though dot plot shoots up and down like the histogram, the content is different. In dot plot, it is the actual value represented in dots. But in histogram, it is the frequency distribution of the class intervals.

3 0
4 years ago
A piggy bank contains a total of 84 coins in nickels and quarters worth $12.80.
Kitty [74]

Let's make a system of equations to solve for this:

n + q = 84

0.05n + 0.25q = 12.80

where n = nickels and q = quarters.

---

Solve for n in the first equation by subtracting q from both sides.

n = 84 - q

---

Plug n into the second equation.

0.05(84 - q) + 0.25q = 12.80

Distribute 0.05 inside the parentheses.

4.2 - 0.05q + 0.25q = 12.80

Combine like terms.

4.2 + 0.2q = 12.80

Subtract 4.2 from both sides.

0.2q = 8.6

Divide both sides by 0.2.

q = 43

---

Plug 43 for q in the first equation.

n + (43) = 84

Subtract 43 from both sides.

n = 41

---

There are 41 nickels and 43 quarters in the piggy bank. ✅

8 0
3 years ago
What is the solution to the system of equations?
melamori03 [73]

Answer:

it is b

Step-by-step explanation:

dam gurll, how many questions u gon' ask

3 0
3 years ago
Kerry donated 1/10 of her $500 savings to a charity. How much money did she donate?
attashe74 [19]

Answer:

$50

Step-by-step explanation:

1/10 of $500 =

= 1/10 * $500

= $500/10

= $50

7 0
4 years ago
Read 2 more answers
73 is 20% of what number?
Tamiku [17]
20% = 73/x * 100% 

<span>20%/100% = 73/x </span>

<span>0.20 = 73/x </span>

<span>x = 73/0.20 </span>

<span>x = 365</span>
8 0
4 years ago
Read 2 more answers
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