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dybincka [34]
3 years ago
13

Can someone help me with number 21. Please show steps

Mathematics
2 answers:
Finger [1]3 years ago
7 0

Answer:

39

Step-by-step explanation:

You need to solve the exponents first

3[64÷(25 -9)+9]

Then you can do the parenthesis

3[64÷ 16 +9]

Then divide 64 by 16 which equals 4

3[4+9]

Then you do the brackets

3 x 13

Which equals 39

aalyn [17]3 years ago
6 0

Answer:

39

Step-by-step explanation:

Use PEMDAS.

Starting equation:

3[8^{2}/(5^{2}-3^{2} )+9]

Start with evaluating the Exponents inside the innermost Parentheses:

3[8^{2} /(25-9)+9]

Evaluate the Subtraction inside the innermost Parentheses:

3[8^{2} /(16)+9]

Now that we have solved the first set of Parentheses, we need to solve the second, starting with the Exponents:

3[64/16+9]

Next, we need to evaluate the Division inside the Parentheses:

3[4+9]

After that, evaluate the Addition inside the Parentheses:

3[13]

Finally, evaluate the Multiplication:

3[13]=39

The answer is 39.

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Suppose you invest $10,410 in equipment to manufacture a new board game. Each game costs $2.65 to manufacture and sells for $20.
leva [86]
Let x= number of board games 
<span>20x=10410+2.65x </span>
<span>-2.65 -2.65 </span>
<span>17.35x=10410 </span>
<span>/17.35 /17.35 </span>
<span>x=600 </span>
<span>You would need to sell at least 600 board games to break even</span>
3 0
3 years ago
Logan genetically engineered a new type of fir tree and a new type of pine tree. The combined height of one fir tree and one pin
Ann [662]

Answer: The height of  fir tree is 9 meters and the height of pine tree is 12 meters.

Step-by-step explanation:

Given : The combined height of one fir tree and one pine tree = 21 meters.

Since, the height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Let x be the height of fir tree and y be the height of pine tree.

Then we get the following equations:

x+y=21...............(1)\\4x-y=24.........(2)

Adding (1) and (2) we get

5x=45\\\Rightarrow\ x=9

Substitute the value of x in (1), we get

9+y=21\\\Rightarrow\ y=21-9=12

Hence, the height of  fir tree is 9 meters and the height of pine tree is 12 meters.

5 0
3 years ago
Sandra throws an object straight up into the air with an initial velocity of 38 ft/s from a platform that is 30 ft above the gro
Makovka662 [10]

Answer:

The answer is C.

Step-by-step explanation:

Given formula h(t)=−16t2+v0t+h0 , where v0 is the initial velocity and h0 is the initial height.

In this case, the initial postion is a platform 30ft above ground so h0=+30

The initial velocity is 38 ft/s straight up into the air so v0=+38

h(t)=-16t2+38t+30

When the object hits the ground, h=0.

h=-16t2+38t+30=0

Simplifying 8t2-19t-15=0

(8t+5)(t-3)=0

t=-5/8 or 3

As time cannot be -ve, t=3s. The answer is C.

6 0
3 years ago
Read 2 more answers
What is the answer for number 14
andrew-mc [135]
40% of 200 is 80 so 120 were sold at the door
6 0
3 years ago
8.Find the value of c that makes the expression be a perfect square trinomial p^2-30p+c
Darina [25.2K]
Hope this is the right one.

Problem 8
p^2 - 30p + c
<em>Step One</em>
Take 1/2 of - 30
1/2 * -30 = - 15

<em>Step 2
</em>Square -15
(-15)^2 = 225
c = 225

Problem Nine
\text{x = }\dfrac{ -b \pm \sqrt{b^{2} - 4ac } }{2a} &#10;
a = 1
b = 4
c = -15
\text{x = }\dfrac{ -4 \pm \sqrt{4^{2} - 4*1*(-15) } }{2*1}
\text{x = }\dfrac{ -4 \pm \sqrt{\text{16} + \text{60} } }{2}

x = [-4 +/- sqrt(76)] / 2
x = [-4 +/- 2*sqrt19]/2
x = [-4/2 +/- 2/2 sqrt[19]
x = - 2 +/- sqrt(19) 

x1 = - 2 + sqrt(19)
x2 = -2 - sqrt(19)

These two can be broken down more by finding the square root. I will leave them the way they are.  It's just a calculator question if you want it to go into decimal form.

Problem Ten

a = 1
b = 4
c = -32

The discriminate is sqrt(b^2 - 4ac)
D = sqrt(b^2 - 4ac)
D = sqrt(4^2 - 4(1)(-32)
D = sqrt(16 - - 128)
D = sqrt(16 + 128)
D = sqrt(144)
D = +/- 12

Since D can equal + or minus 12 there must be 2 possible (and different) roots. As a matter of fact, this quadratic can be factored.
(x + 8)(x - 4) = y 
But that' s not what you were asked for.
The discriminate is >  0 so the roots are going to be real.
<em>Answer; The discriminate is > 0 so there will be 2 real different roots.</em>

4 0
3 years ago
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