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3 years ago

I NNEEEDDDDDD HELPPPPP PLEASEEEE

Mathematics

2 answers:

Oksana_A [137]3 years ago

6 0

Answer:

193 = 7s + 8l ( Grad Party Equation)

92 = 8s + 2l (Father's Day Equation)

The small balloon bouquet uses 7 balloons and the large one uses 18 balloons

Step-by-step explanation:

First we need to separate something, I chose l...

92 = 8s + 2l
2l = 92 - 8s
l = 46 - 4s

...and we can replace this for l in the other equation!

193 = 7s + 8( 46 - 4s )
193 = 7s + 368 - 32s
-175 = -25s
7 = s

Now that we have found the number of balloons needed for a small bouquet we can place that in an equation to find out how many balloons it takes to make a large bouquet.

l = 46 - 4(7)
l = 46 - 28
l = 18

Now just to make sure we got that right. Just check them!

Grad Party Equation

193 = 7s + 8l
193 = 7(7) + 8(18)
193 = 49 + 144
193 = 193

We got one right and the other one...

Fathers Day Equation

92 = 8s + 2l
92 = 8(7) + 2(18)
92 = 56 + 36
92 = 92

We got both right yay!

NikAS [45]3 years ago

3 0

Answer:

The small balloon bouquet uses 7 balloons and the large one uses

18 balloons.

Step-by-step explanation:

Let's say that small balloon bouquets are S and large balloon bouquets are L. For the graduation party the employee assembled 6 small bouquets and 6 large bouquets, the total number of balloon used is 150. To put the sentence into an equation will be:

6S + 6L= 150

S+L= 25 ----> 1st equation

For Father's Day, the employee uses 6 small bouquet and 1 large bouquet, the total number of balloons used is 60. The equation will be:

6S + 1L= 60

1L= 60- 6S ----> 2nd equation

We can solve the number of small balloon bouquet by substitute the 2nd equation into 1st. The calculation will be:

S+L = 25

S+ (60-6S)= 25

-5S= 25-60

-5S= -35

S= -35/-5

S=7

Then we can find L by substitute S value to 1st or 2nd equation.

S+L=25

7+L=25

L=18

Hope this helps ;)

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I am Lyosha [343]

Answer:

$f(x)=(x-3)(x^2+4x+8)$

Step-by-step explanation:

A polynomial function is given by the form:

$f(x)=a(x-p)(x-q)...$

Where a is the leading coefficient, and p and q are the roots (more can be added if necessary).

Our zeros are 3 and (-2 + 2i).

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Furthermore, by the Complex Root Theorem, if (-2 + 2i) is a zero, then (-2 - 2i) must also be a zero.

So, by substitution, we acquire:

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Expand the second and third factors:

$\begin{aligned} &=(x+2-2i)x+(x+2-2i)(2)+(x+2-2i)(2i)\\&= (x^2+2x-2ix)+(2x+4-4i)+(2ix+4i-4i^2)\\&=(x^2)+(2x+2x)+(-2ix+2ix)+(-4i+4i)+(4-4i^2)\\&=x^2+4x+(4+4)\\&=x^2+4x+8 \end{aligned}$

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3 years ago

aron lei is making identical balloon arrangements for a party. He has 32 maroon balloons and 24 white balloons, he wants each ar

alexandr402 [8]

Answer:

The greatest number of arrangements that he can make if every balloon is used is 8.

Step-by-step explanation:

The greatest number of arrangements will be the greatest common factor between 24 and 32.

GCF of 24 and 32:

We keep factoring both numbers by prime factors, while they can both be divided by the same number. So

24 - 32|2

12 - 16|2

6 - 8|2

3 - 4

There is no factor for which we can divide both 3 and 4. So the GCF is 2*2*2 = 8.

This means that the greatest number of arrangements that he can make if every balloon is used is 8.

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3 years ago

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Arte-miy333 [17]

Answer:

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Therefore, the percent of a statute mile that is a nautical mile rounded to the nearest hundredth is 86.82%

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