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DanielleElmas [232]
3 years ago
13

The product of 9 and the quantity 5 more than a number t is less than 5

Mathematics
1 answer:
Lelechka [254]3 years ago
3 0
9(t+5) \ \textless \  5\ \ \ |use\ distributive\ property:a(b+c)=ab+ac\\\\(9)(t)+(9)(5) \ \textless \  5\\\\9t+45 \ \textless \  5\ \ \ |subtract\ 45\ from\ bot\ sides\\\\9t \ \textless \  -40\ \ \ \ |divide\ both\ sides\ by\ 9\\\\\huge\boxed{t \ \textless \  -\dfrac{40}{9}\to t \ \textless \  -4\dfrac{4}{9}}
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Solve the system of equations. 3x – 4y = 8 18x – 5y = 10 x= y =<br>​
Zepler [3.9K]

Answer:

Step-by-step explanation:

Solution by substitution method

3x-4y=8

and 18x-5y=10

Suppose,

3x-4y=8→(1)

and 18x-5y=10→(2)

Taking equation (1), we have

3x-4y=8

⇒3x=4y+8

⇒x=( 4y+8)/ 3  →(3)

Putting x= (4y+8 )/3  in equation (2), we get

18x-5y=10

18( (4y+8) /3)  -5y=10

⇒24y+48-5y=10

⇒19y+48=10

⇒19y=10-48

⇒19y= -38

⇒y=- 38 /19

 ⇒y= -2→(4)

Now, Putting y=-2 in equation (3), we get

x=4y+8

x= (4(-2)+8) /3

 ⇒x= (-8+8)/ 3

 ⇒x= 0/ 3

 

⇒x=0

∴x=0  and  y= -2

5 0
3 years ago
in january, meghan made 12 fewer sales calls than paul did. together they made 256 calls. how many calls did meghan make that mo
adelina 88 [10]

2÷256=128 then subtract 128-12=116
3 0
3 years ago
A restaurant needs pound 7/8 of cinnamon. The price of cinnamon is $20 per pound. How much does the restaurant spend on cinnamon
Lorico [155]

Answer:

$17.50

Step-by-step explanation:

Multiply 7/8 by 20/1, to find 7/8 of $20.00.

7/8 × 20/1 = 140/8

140 ÷ 8 = 17.5

Once you convert to money, this is $17.50.

4 0
2 years ago
Which number line shows the solution of -5x + 10 &gt; -15?
Allushta [10]

Answer:

See attached.  Line for x<5.

Step-by-step explanation:

Solve the equation for x.  Remember that the "<" and ">" signs are reversed when dividing or multiplying by a negative value.

8 0
2 years ago
3m-n=km-8, solve for m
viktelen [127]

Add n on both sides:

3m = km - 8 + n

Subtract km on both sides:

3m - km = n - 8

Factor the Left-Hand Side:

m(3 - k) = n - 8

Divide both sides by (3 - k):

m = (n - 8) / (3 - k)

5 0
3 years ago
Read 2 more answers
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