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3 years ago

-2(x+5)=4 use distributive property

Mathematics

2 answers:

MAVERICK [17]3 years ago

6 0

Answer:

-2x - 10 = 4

Step-by-step explanation:

distributive property is were you distribute (give out) this to every one

(-2 time x) + (-2 times 5) = 4

-2x - 10 = 4

now solving for x all you do is add ten to both sides --> -2x = 14

now divide by -2 to get x alone --> x = 14/-2 = X = -7

Hatshy [7]3 years ago

3 0

Answer:x=-7

Step-by-step explanation:

-2(x)+(-2)(5)=4

-2x-10=4

-2x=14

x=-7

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How many triangles and quadrilaterals altogether can be formed using the vertices of a 7-sided regular polygon?

MAVERICK [17]

Answer: The correct option is

(E) 70.

Step-by-step explanation: We are given to find the number of triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.

To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is

$n_t=^7C_3=\dfrac{7!}{3!(7-3)!}=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}=35.$

Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is

$n_q=^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!\times3\times2\times1}=35.$

Therefore, the total number of triangles and quadrilaterals is

$n=n_t+n_q=35+35=70.$

Thus, option (E) is CORRECT.

8 0

3 years ago

PLEASE HELPPPPPJohn and Kathy are shopping for their first home. Between the two of them, they feel they can afford a $1400 mont

xxTIMURxx [149]

Answer: $249,300

Step-by-step explanation:

The exact formula would be if I think this is right

PV = PMT(1-(1+r)^-n)/r with r & n adjusted for periodicity

= 1400(1-(1+.054/12)^-360)/(.054/12)

= $249,318.47

which you can round off to, say, $249,300 <------

note:

counterchechecked with a financial calculator

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3 years ago

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klemol [59]

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2 years ago

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Cerrena [4.2K]

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3 years ago

that batch calls for 5 cups of flour and 4 teaspoons of vanilla if i use 6 teaspoons of vanilla how many cups will i need

Eva8 [605]

5 cups & 4 teaspoons
? cups & 6 teaspoons

2.5 cups is half of 5
2 is half of 4

you increased the recipe by 1/2

so for 6 teaspoons you will need 7.5 or 7 1/2 cups of flour b/c 5 + 2.5 = 7.5

ANSWER: 7 1/2

4 0

3 years ago