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rjkz [21]
3 years ago
15

Steve is collecting toy cars. He already has 100 of them! 42 of them are new, 19 are his favorites; 3 are new and a favorite. St

eve is going to donate to his school's yard sale all of them that neither new nor favorite. How many toy cars will he donate?
Mathematics
1 answer:
ZanzabumX [31]3 years ago
4 0

Answer:

42

Step-by-step explanation:

This can be done with a Venn diagram, but I can't draw it here, so I'll explain it.

Of the 42 new ones, 3 are also his favorite. That means there are 39 new that are not favorite.

Of the 19 favorites, 3 are also new, so 16 are favorite but not new.

New but not favorite: 39

Favorite but not new: 16

New and favorite: 3

Total above: 39 + 16 + 3 = 58

He has a grand total of 100 toy cars, so 100 - 58 = 42

42 are neither new nor favorite.

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Show all work to multiply (6+square root -64)(3-square root -16)
Hunter-Best [27]

Answer:

50

Step-by-step explanation:

- 8i = √-64

8i + 6

- -4i = -√-16

-4i + 3

[8i + 6][-4i + 3] → FOIL

>> -32i² + [24i - 24i] + 18

↑ ↑

-1 0

>>> 32 + 18 = 50

Information on Imaginary Numbers

√-1 = i

-1 = i²

-i = i³

1 = i⁴ [And every other exponent that is a multiple of 4; this cycle then repeats itself every time you go up one number at a time]

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

7 0
3 years ago
Read 2 more answers
What is the LCM of x^2+5 and x^2+10x+25?
avanturin [10]

Answer:

(x+5)²(x²+5)

Step-by-step explanation:

Given two functions x²+5 and x²+10x+25, to get their Lowest common factor, we need to to first factorize x²+10x+25

On factorising we have:

x²+5x+5x+25

= x(x+5) +5(x+5

= (x+5)(x+5)

= (x+5)²

The LCM can be calculated as thus

| x²+5, (x+5)²

x+5| x²+5, (x+5)

x+5| x²+5, 1

x²+5| 1, 1

The factors of both equation are x+5 × x+5 × x²+5

The LCM will be the product of the three functions i.e

(x+5)²(x²+5)

This hives the required expression.

5 0
3 years ago
Simplify the algebraic expression by combining like (or similar) terms.<br> -7x - 8y- 5x - 6y
stira [4]

Answer:

-12x - 14y

Step-by-step explanation:

First I would move them side by side so I can see it better so:

-7x - 5x - 8y - 6y

now combine the x values together and the y values together:

-12x - 14y

7 0
3 years ago
Read 2 more answers
True or
Kay [80]

Answer:

it is False

Step-by-step explanation:

3 0
2 years ago
I just need the inequality/equation please!
vladimir2022 [97]

Let x represent the amount that she needs to save each month for the next year.

Stephanie is saving money to buy a new computer. So far she has saved $200. This means that the total amount that she would have saved in y months is

200 + xy

Since there are 12 months in a year,

an inequality to show how much she needs to save each month for the next year so she has at least $1200 to spend on the computer is

200 + 12x ≥ 1200

12x ≥ 1200 - 200

12x ≥ 1000

x ≥ 1000/12

x ≥ 83.33

4 0
3 years ago
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