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iragen [17]
2 years ago
6

which shape had a larger area: a rectangle that is 7 inches by 3/4 inch, or a square with side length of 2.5 inches? Show your r

easoning.
Mathematics
1 answer:
Brums [2.3K]2 years ago
6 0
In order to find the area for a rectangle, you must multiply length times width, which would be 7 x 3/4 which is 5.25. In order to find the area for a square, you do length^2, also know as length x length. Which would be 2.5^2 which is 2.5 x 2.5 which is 6.25. 6.25 is larger than 5.25, so the square has a larger area.
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If ce = 7x+4, find the value of x
Alex787 [66]

Hey there,

To find the value of x we can take the two, CD or DE and set them equal to CE.

First step is set the lines equal to each other:

  • x + 3 + 8x - 9 = 7x + 4

Now we combine like terms:

  • 9x - 6 = 7x + 4

Then we subtract 7x from both sides:

  • 2x - 6 = 4

Add 6 to both sides:

  • 2x = 10

Lastly we divide both sides by 2:

  • x = 5

So the value of x would have to be 5.  

Hope I helped,

Amna

7 0
2 years ago
Read 2 more answers
Tickets to a musical cost $30 for adults and $12 for children. At one particular performance 960 people attended and $19 080 was
postnew [5]
In order to solve this, you have to set up a systems of linear equations.

Let's say that children = c and adults = a

30a + 12c = 19,080
a + c = 960

I'm going to show you how to solve this system of linear equations by substitution, the easiest way to solve in my opinion.

   a + c = 960 
       - c    -    c
 ---------------------- ⇒ Step 1: Solve for either a or c in either equation.
   a = 960 - c 



20(960 - c)+ 12c = 19,080
19,200 - 20c + 12c = 19,080
   19,200 - 8c = 19,080
 - 19,200         - 19,200
---------------------------------- ⇒ Step 2: Substitute in the value you got for a or c
         8c = -120                    into the opposite equation.                                                
       ------  ---------
          8         8
 
         c = -15



30a + 12(-15) = 19,080
   30a - 180 = 19,080
          + 180  +     180
 -------------------------------
   30a = 19,260
  -------   -----------
    30          30
     
       a = 642
__________________________________________________________

I just realized that there can't be a negative amount of children, so I'm sorry if these results are all wrong. 


7 0
2 years ago
Read 2 more answers
Line GH contains points G(–2, 6) and H(5, –3). What is the slope of ?
alexgriva [62]

We will use the slope formula and fill it in accordingly.

m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

Our x2 is 5 and x1 is -2; our y2 is -3 and y1 is 6

m=\frac{-3-6}{5-(-2)}=\frac{-9}{7}.

The slope of your line is -9/7

5 0
2 years ago
Read 2 more answers
Which expression is equivalent to StartFraction (5 a b) cubed Over 30 a Superscript negative 6 Baseline b Superscript negative 7
lorasvet [3.4K]

Answer: \frac{25}{6} a^{9} b^{10}

Step-by-step explanation:

Assuming the described expression is:

\frac{(5ab)^{3}}{30 a^{-6} b^{-7}}

And knowing the condition a \neq 0 and b \neq 0

We cansimplify it following the rules related to the exponents with the same base:

\frac{25}{6} a^{3} b^{3} a^{6} b^{7}

Finally:

\frac{25}{6} a^{9} b^{10}

3 0
2 years ago
Read 2 more answers
Serena worked 18 hours last week for a landscaper. She worked 1/3 of those hours planting flowers and 1/2 of those hours mowing
Flura [38]

Answer: 6 hours

Step-by-step explanation:

18 ÷ 3 = 6 hours :)

5 0
2 years ago
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