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Murljashka [212]

2 years ago

14

An art teacher needs to 5 boxes of markrrs to complete a project with a class of 20 students. How many boxes of markers will he

need to buy for a class of 28 students?

1 answer:

sleet_krkn [62]2 years ago

4 0

20students : 5 boxes

Divided by 5

4students : 1 boxes

28students : x boxes

28/4 = 7

28students : 7 boxes

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This is a substitution problem

mrs_skeptik [129]

They consists of equations and unknown variables. There are 4 PCs and 8 Mac in the room

<h3>System of equation</h3>

They consists of equations and unknown variables

Let the number of PCs be x

Let the number of Mac be y

If Mke has 12 computers, then;

x + y = 12

If there are two Macs for every PC in his classroom, then;

y = 2x

Substitute

x + 2x = 12

3x = 12

x = 4

Recall y = 2x

y = 2(4)

y = 8

There are 4 PCs and 8 Mac in the room

Learn more on system of equations here; brainly.com/question/14323743

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What is the product of all constants $k$ such that the quadratic $x^2 + kx +15$ can be factored in the form $(x+a)(x+b)$, where

Setler79 [48]

Answer:

$k=-16,k=-8,k=8,k=16$

Step-by-step explanation:

We are given quadratic equations as

$x^2+kx+15$

and it can be factored as

$=(x+a)(x+b)$

now, we can multiply factor term

$(x+a)(x+b)=x^2+(a+b)x+ab$

now, we can compare

$x^2+(a+b)x+ab=x^2+kx+15$

so, we get

$k=a+b$

$ab=15$

we are given that

'a' and 'b' are integers

so, we can find all possible factors

$15=(-1\times -15),(1\times 15)$

$15=(-3\times -5),(3\times 5)$

so, we can find k

At $(-1\times -15)$ :

$k=a+b$

we can plug values

$k=-1-15$

$k=-16$

At $(1\times 15)$ :

$k=a+b$

we can plug values

$k=1+15$

$k=16$

At $(-3\times -5)$ :

$k=a+b$

we can plug values

$k=-3-5$

$k=-8$

At $(3\times 5)$ :

$k=a+b$

we can plug values

$k=3+5$

$k=8$

So, values of k are

$k=-16,k=-8,k=8,k=16$

6 0

3 years ago

Complete the following pattern: 2, 4, 8, 16, 32, ___.<br><br> A) 48<br><br> B) 64

adell [148]

64 as it’s multiplied by 2 each time

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3 years ago

Choose the equation that is equivalent to: 4(8x+6)=20

KengaRu [80]

Answer:

B

Step-by-step explanation:

32x + 24 = 20

24 - 24= 0

20 - 24= -4

32x = -4

32x/32

x

-4/32= -8

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1 year ago

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I don't understand this problem

ExtremeBDS [4]

Answer:

45%

Step-by-step explanation:

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