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melomori [17]
2 years ago
13

Graham puts $20 in his piggy bank every week. at the end of 39 weeks, he adds $100 to the piggy bank money and decides to do the

following: buy some clothes and sports gear for $314.23 buy his mom a present for $123 divide the rest of the money equally among his three brothers use a calculator to find the amount of money each brother will get. $147.59
Mathematics
1 answer:
Ainat [17]2 years ago
5 0
$20*39=  $780+$100=  $880
Subtract $314.23, and  $123 by $880
$880-$314.23-$123= $442.27
Divide $442.27 by 3.
$442.27/3 = $147.59

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A matrix contains 60 elements. Which of the following cannot equal the number of rows of the matrix?
avanturin [10]

<span>Given:

Matrix = 60 elements</span>

 

<span>To solve this, we need to take into account that each row must contain the same number of elements. So, we need to find which of the options do not divide evenly into 60 (the options are 30, 60, 10, and 18).

So we check each of the choices to see if 1 of them divides evenly with 60.

60 / 60 = 1 (divides evenly)</span>

60 / 30 = 2 (divides evenly)

<span>60 / 10 = 6 (divides evenly)
</span>60 / 18 = 3.3.3333333333333333333333333333333 (does not divide evenly)

Therefore, 18 cannot equal the number of rows of the matrix.

6 0
2 years ago
PLEASEE HURRYY Which expression is equivalent to the complex number. 10+3i
irga5000 [103]

Answer:

(4+7i)-2i(2+3i) = 10+3i

Step-by-step explanation:

We need to find the expression that is equivalent to the complex number 10+3i.

Option 1. 2i(4-5i)+(1-7i)

=8i-10i²+1-7i

∵ i² = -1

=8i-10(-1)+1-7i

=8i+10+1-7i

=11+i (incorrect)

Option 2. (4+7i)-2i(2+3i)

=4+7i-4i-6i²

=4+7i-4i-6(-1)

=4+7i-4i+6

=10+3i (Correct)

Option 3. (-3+5i)-3i(4+5i)

= (-3+5i)-12i-15i²

= -3+5i-12i-15(-1)

= -3+5i-12i+15

=12-7i (incorrect)

Option 4. 3i(4+7i)+(11+2i)

= 12i+21i²+11+2i

=12i+21(-1)+11+2i

= 12i-21+11+2i

=14i-10 (incorrect)

Hence, the correct option is (B).

5 0
2 years ago
Read 2 more answers
What is the measure of ∠EGF?<br><br><br><br> What is the measure of ∠CGF?
andrey2020 [161]
<span>measure of ∠EGF = 1/2( 180 - 50)
= 1/2(130)
= 65

</span><span>the measure of ∠CGF = 180 - 65
= 115</span>
4 0
2 years ago
Read 2 more answers
The angle measures associated with which set of ordered pairs share the same reference angle
Trava [24]

Answer:

Option 3 is right.

Step-by-step explanation:

Reference angle of x is obtained by either 180-x, 180+x. or 360-x depending on the posiiton of terminal whether II quadrant or iv quadrant, or iii quadrant, etc.

In whatever way we find reference angles,

cos will remain cos only and sin will remain sin only there may be only changes in sign.

Of all the ordered pairs given, we find that I, II, and Iv there is a switch over form cos to sine and sin to cos.  Hence these options cannot be for reference angles.

III option is (-\frac{1}{2} ,\frac{-\sqrt{3} }{2} )(\frac{1}{2} ,\frac{\sqrt{3} }{2} )

show that both sign and cos changed sign.  This is possible only in III quadrant.

ie reference angle of orignal angle t = 180+t

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7 0
1 year ago
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The system shown has the unique solution (2, y, z). Solve the system and select the values that complete the solution. y = 0 y =
madreJ [45]
So we are given a system:
3x-2y+3z=0\\&#10;-3x - 5y - 5z= -21
Substitute x = 2 we get the system:
-2y+3z=-6\\&#10;- 5y - 5z= -15
Multiply the first equation by -5 and the second by 2 we get the system:
10y-15z=30\\&#10;- 10y - 10z= -30
Adding the two equations we get :
-25z=0\text{ then}z=0.
We find the value of y by using any of the other equations like this:
-2y=-6\\y=3.
Final solution:
z=0,y=3
8 0
1 year ago
Read 2 more answers
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