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Georgia [21]
3 years ago
6

(5+2yi)(4-3i)-4(5+2yi)

Mathematics
1 answer:
lesya [120]3 years ago
6 0
If you download Photomath and scan your question it will give u the answer;)
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Create your own unit rate example in which you have to determine the unit rate of two fractions with different units. Explain wh
levacccp [35]
I’m sorry but i don’t know what it is
7 0
2 years ago
Y= -x +3 and y = x - 1
inysia [295]

Answer:

x=2 and y=1

Step-by-step explanation:

Rewrite equations:

y=−x+3;y=x−1

Step: Solve

y=−x+3

Step: Substitute−x+3foryiny=x−1:

y=x−1

−x+3=x−1

−x+3+−x=x−1+−x(Add -x to both sides)

−2x+3=−1

−2x+3+−3=−1+−3(Add -3 to both sides)

−2x=−4−2x−2=−4−2

(Divide both sides by -2)

x=2

Step: Substitute2forxiny=−x+3:

y=−x+3

y=−2+3

y=1(Simplify both sides of the equation)

Hope this Helps you :)

3 0
3 years ago
Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming poo
kolezko [41]

Let <em>x</em> and <em>y</em> be the unit rates at which one large pump and one small pump works, respectively.

Two large/one small operate at a unit rate of

(1 pool)/(4 hours) = 0.25 pool/hour

so that

2<em>x</em> + <em>y</em> = 0.25

One large/three small operate at the same rate,

(1 pool)/(4 hours) = 0.25 pool/hour

<em>x</em> + 3<em>y</em> = 0.25

Solve for <em>x</em> and <em>y</em>. We have

<em>y</em> = 0.25 - 2<em>x</em>   ==>   <em>x</em> + 3 (0.25 - 2<em>x</em>) = 0.25

==>   <em>x</em> + 0.75 - 6<em>x</em> = 0.25

==>   5<em>x</em> = 0.5

==>   <em>x</em> = 0.1

==>   <em>y</em> = 0.25 - 2 (0.1) = 0.25 - 0.2 = 0.05

In other words, one large pump alone can fill a 1/10 of a pool in one hour, while one small pump alone can fill 1/20 of a pool in one hour.

Now, if you have four each of the large and small pumps, they will work at a rate of

4<em>x</em> + 4<em>y</em> = 4 (0.1) + 4 (0.05) = 0.6

meaning they can fill 3/5 of a pool in one hour. If it takes time <em>t</em> to fill one pool, we have

(3/5 pool/hour) (<em>t</em> hours) = 1 pool

==>   <em>t</em> = (1 pool) / (3/5 pool/hour) = 5/3 hours

So it would take 5/3 hours, or 100 minutes, for this arrangement of pumps to fill one pool.

6 0
3 years ago
At a carnival, 700 tickets were sold for a total
Diano4ka-milaya [45]

Answer:

The adult tickets are <u>400</u> and the children tickets are <u>300</u>.

Step-by-step explanation:

Given:

At a carnival, 700 tickets were sold for a total  amount of $5500. An adult ticket cost $10   and a children's ticket cost $5.

Now, to find the  number of adult tickets and the number of  children's tickets sold.

<em>Let the number of adult tickets be </em>x.<em />

<em>And let the number of children tickets be </em>y.<em />

So, the total number of tickets sold:

x+y=700\\\\y=700-x\ \ \ ....(1)

Now, the total amount of tickets:

x(10)+y(5)=5500

Substituting the value of y from equation (1):

x(10)+(700-x)(5)=5500\\\\10x+3500-5x=5500\\\\5x+3500=5500

<em>Subtracting both sides by 3500 we get:</em>

<em />5x=2000<em />

<em>Dividing boths sides by 5 we get:</em>

x=400.<u />

<u>The number of adult tickets = 400.</u>

Now, substituting the value of x in equation (1) we get:

y=700-x\\\\y=700-400\\\\y=300.

<u>The number of children tickets = 300.</u>

Therefore, the adult tickets are 400 and the children tickets are 300.

8 0
3 years ago
What is the volume of the box
Sergeu [11.5K]

Answer: 240

Step-by-step explanation: the base is 40, so 4x10. volume= LxWxH, which is just all the units. 4x10x6=240. hope this helps!

6 0
2 years ago
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