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Mekhanik [1.2K]
3 years ago
15

How do you solve -3(m+4)-2m>18

Mathematics
1 answer:
goldfiish [28.3K]3 years ago
3 0
M<-6

-5m-12\ \textgreater \ 18 &#10;&#10;18+12= 30&#10;&#10;-5m \ \textgreater \ 30&#10;&#10;30 divided by -5= -6&#10;&#10;m\ \textless \ -6&#10;&#10;you flip the inequality and combine like terms&#10;
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The drama club is selling short-sleeved shirts for $5 each, and long-sleeved shirts for $10 each. They hope to sell all of the s
blagie [28]

Answer:

  • 150 short-sleeved shirts
  • 100 long-sleeved shirts

Step-by-step explanation:

Let S and L represent the numbers of short- and long-sleeved shirts ordered.

The expected earnings were ...

  5S +10L = 1750

The number sold was ...

  (1/3)S + (1/2)L = 100

We can multiply the first equation by 1/5 and the second equation by 6 to put the equations into standard form:

  • S +2L = 350
  • 2S +3L = 600

Subtracting the second equation from twice the first gives ...

  2(S +2L) -(2S +3L) = 2(350) -(600)

  L = 100 . . . . . . simplify

  2S +3(100) = 600

  S = 150

150 short-sleeved and 100 long-sleeved shirts were ordered.

3 0
2 years ago
Read 2 more answers
The twenty-six coins in my pocket are all dollar coins and quarters, and they add up to seventeen dollars in value. How many dol
Law Incorporation [45]

Currency such as dollars can come in various forms such as dimes, quarters, pennies, and nickels.

The number of quarter coins is 12 and the number of dollar coins is 14 coins.

Let's represent:

The number of 1 dollar coin = d

The number of 1 quarter coin = q

The twenty-six coins in my pocket are all dollar coins and quarters. The algebraic equation for this statement above is =

d + q = 26 ........ Equation 1

Making d the subject of the formula

d = 26 - q

1 dollar coin = $1

1 quarter = $0.25

The value of the dollar and nickel coins is seventeen dollars. The algebraic expression for this statement is :

$1 x d + $0.25 x q = 17

d + 0.25q = 17.................Equation 2

Substitute 26 - q for d in Equation 2

26 - q + 0.25q = 17

Collecting like terms

26 - 17 = q - 0.25q

9 = 0.75q

Divide both sides by 0.75

9/0.75 = 0.75q/0.75

q = 12 coins

Solving for number of dollar coins

d = 26 - q

q = 12

d = 26 - 12

d = 14 coins

Therefore, the number of quarter coins is 12 and the number of dollar coins is 14 coins.

To learn more, visit the link below:

brainly.com/question/22799498

7 0
2 years ago
Divide 9.48 ÷ 0.24 = ______.
Ray Of Light [21]

Answer:

39.5

Step-by-step explanation:

In the attached file

6 0
3 years ago
Gwen volunteered to work at the ticket booth for her school's Halloween carnival. The chart below gives the number of hours Gwen
n200080 [17]

A linear relation is a relationship between two variables that when the corresponding pair of values of the variables are plotted, a straight line is obtained

The equation for the relationship between hours Gwen worked and number of tickets is <u> t = </u><u>15·h</u>

<u />

The reason the above equation is correct is as follows:

The given parameters are;

The table of values;

Hours(h): 1, 2, 3, 4

Tickets (t): 15, 30, 45, 60

Required: To write an equation that gives the relation between the number of hours Gwen worked and the number of tickets sold

Solution:

From the given table, we have;

The common difference between successive <em>h-values </em>is 1

The <em>common difference</em> between successive t<em>-values </em>is 30 - 15 = 45 - 30 = 60 - 45 = 15 = Constant

Given that the common difference of the <em>h</em>, and <em>t-values</em> are constant, the relationship is a linear relationship of the form, t = m·h + c

Where;

m = The rate of change of <em>t</em> with <em>h</em>, as follows;

m = (30 - 15)/(2 - 1) = 15

∴ t - 15 = 15 × (h - 1)

t - 15 = 15·h - 15

t = 15·h - 15 + 15 = 15·h

t = 15·h

The equation for the relation between the number of hours Gwen worked and the number of tickets she sold is<u> t = </u><u>15·h</u>

<u />

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7 0
2 years ago
The Smith family of 4 completes 8 loads of laundry each week. They estimate the total cost (energy, water, and detergent) is $7.
melisa1 [442]

Answer: 10.67

Step-by-step explanation:

4 0
3 years ago
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