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nataly862011 [7]
3 years ago
13

Kelko wrapped 20 gifts. Keiko wrapped 4 times as many gifts as Henry. Let be the number of gifts that Henry wrapped.

Mathematics
1 answer:
sergey [27]3 years ago
3 0

Answer:

20 = 4n

n = 5

Step-by-step explanation:

Given that :

Number of gifts Keiko wrapped = 20

Let number of gifts wrapped by Henry = n

Keiko wrapped 4 times as many gifts as Henry

Hence,

20 = 4n

The equation that relates the number of gifts wrapped is :

20 = 4n

To obtain n ;

Divide both sides by 4 to isolate n

20/ 4 = 4n / 4

5 = n

Hence,

n = 5

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Equation of the line (-6,5) and (8,14) in standard form
blsea [12.9K]

Answer:

\huge\boxed{9x-14y=-70}

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)\\\\m=\dfrac{y_2-y_1}{x_2-x_1}

We have two points (-6, 5) and (8, 14).

Substitute:

m=\dfrac{14-5}{8-(-6)}=\dfrac{9}{14}\\\\y-5=\dfrac{9}{14}(x-(-6))\\\\y-5=\dfrac{9}{14}(x+6)

Thew standard form of an equation of a line:

Ax+By=C

transform:

y-5=\dfrac{9}{14}(x+6)\qquad|\text{multiply both sides by 14}\\\\14y-14\cdot5=14\!\!\!\!\!\diagup^1\cdot\dfrac{9}{14\!\!\!\!\!\diagup_1}(x+6)\\\\14y-70=9(x+6)\\\\14y-70=9x+54\qquad|\text{subtract}\ 9x\ \text{from both sides}\\\\-9x+14y-70=54\qquad|\text{add 70 to both sides}\\\\-9x+14y=70\qquad|\text{change the signs}\\\\9x-14y=-70

4 0
3 years ago
What property out of distributive,communitive,and associative.
Vlad1618 [11]
Hello!

The Associative Property of Multiplication states the following:

a × (b × c) = (a × b) × c

The equation given in the image above follows the same form:

9 × (5 × 2) = (9 × 5) × 2

Therefore, the given equation must be representative of the Associative Property.

I hope this helps!

7 0
4 years ago
The O'Niell family decided to book a hotel for a trip to Orlando, FL from Saturday 6/3 through Friday 6/9. They decide to stay a
Citrus2011 [14]
Six nights.

1. Saturday night
2. Sunday night
3. Monday night
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8 0
3 years ago
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coldgirl [10]

Answer:

2.Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form: ( 3 , 5 )

Equation Form: x = 3 , y = 5

3.Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form: ( 2 , 8 )

4.Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form: ( 2 , − 3 )

Step-by-step explanation:

6 0
3 years ago
A bus on a regular schedule takes 3 1/4 hours to reach its destination. The express bus takes 2 1/2 hours to make the same trip.
RSB [31]
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So 3/4 hours can be saved by taking the express bus rather than the regular bus. The correct option among all the options given in the question is option "C". I hope the procedure is simple enough for you to understand.
7 0
3 years ago
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