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2 years ago

Please help! I don't understand this!! Solve using substitution:

1 answer:

3 0

First you solve for y for the top equation, making the top equation become y=-3+5=x.
now we have to substitute that into 3x-8y=24.

that gives you 3x-8(-3+5x)=24
now you solve it for x, which is 0.
now you have to substitute 0 for x in the equation y=-3+5x, so it now becomes y=-3+5*0.
when you solve this for y, you get -3. this means your answer is y=-3 and x=0

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Pencils come in packages of 10.Erasers come in packages of 12. Phillips wants to purpose the smallest number of pencils and eras

balandron [24]

Answer:

The answer to your question is:

Packages of pencils = 6

Packages of erasers = 5

Step-by-step explanation:

Data

Pencils = 10/package

Erasers = 12 / package

Process

Find the least common factor of 10 and 12

10 12 2

5 6 2

5 3 3

5 1 5

LCF = 2 x 2 x 3 x 5 = 60

Finally divide 60 by the number of pencils or erasers in each package

Packages of pencils = 60/10 = 6

Packages of erasers = 60/12 = 5

5 0

2 years ago

I need help with this problem

Arada [10]

Answer:

65.56°

Step-by-step explanation:

We know that if we take dot product of two vectors then it is equal to the product of magnitudes of the vectors and cosine of the angle between them

That is let p and q be any two vectors and A be the angle between them

So, p·q=|p|*|q|*cosA

⇒ $cosA=\frac{u.v}{|u||v|}$

Given u=-8i-3j and v=-8i+8j

$|u|=\sqrt{(-8)^{2}+ (-3)^{2}} =8.544$

$|v|=\sqrt{(-8)^{2}+ (8)^{2}} =11.3137$

let A be angle before u and v

therefore, $cosA=\frac{u.v}{|u||v|}=\frac{(-8)*(-8)+(-3)*(8)}{8.544*11.3137} =\frac{40}{96.664}$

⇒ $A=arccos(\frac{40}{96.664} )=arccos(0.4138 )=65.56$

Therefore angle between u and v is 65.56°

5 0

2 years ago

I am confused my teacher helped on the first problem but the rest didn't make sense any idea's?

Dovator [93]

2. The three points you need to mark on this graph are (1,2) (2,3) and (4,5); you then draw a line through all of these points and determine whether the inches of rainfall is proportionate to the number of hours.

You mark those 3 points because at 1 hour, 2 inches of rain has fallen; at 2 hours, 3 inches of rain has fallen; and at 4 hours, 5 inches of rain has fallen

7 0

3 years ago

Simplify the product using the distributive property. (-4h +2)(3h +7)

Alekssandra [29.7K]

Answer:

A. -12h² - 22h + 14

Step-by-step explanation:

(-4h +2)(3h +7) = -4h(3h +7) +2(3h +7) . . . . . . . (a +b)c = ac +bc

= (-4h)(3h) + (-4h)(7) + (2)(3h) + (2)(7) . . . . . . . a(b +c) = ab +ac . . . (twice)

= -12h² -28h +6h +14

= -12h² -22h +14 . . . . . . . . collect terms

3 0