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3 years ago

15

sing the expression x + 3, write one equation that has one solution, one equation that has no solution, and one equation that ha

s infinitely many solutions. Explain

1 answer:

8090 [49]3 years ago

6 0

Answer: one solution x + 3 = 5 x = 2 no other other value for x is possible

No solution: (x + 3) = 2(x +3)

Infinitely many solutions: x+3 = 3 + x

Step-by-step explanation:

why (x + 3) = 2(x +3) has no solution. Can you solve?

x+3=2x+6 -x=3 x=-3 substute -3 for x

(-3)+ 3)= 2[(-3) +3]

-3+3 = -6 +3

0 = -3 False!

x+3 = 3 + x has infinitely many solutions. Substitute any number for x, and the equation is true (5)+3=3+(5) 8=8 . 11111+3 =3+11111 11114=11114

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Calculate s26 for the arithmetic sequence in which a14=4.1 and the common difference is d=1.7

sweet-ann [11.9K]

Answer:

The value of $s_{26}=84.5$

Step-by-step explanation:

We have given $a_{14}=4.1$

d=1.7

We have to find $s_{26}$

So, $a_{14}=a+13d$ from the formula

$a_n=a+(n-1)d$

When n=14

$a_{14}=a+(14-1)(1.7)=a+13(1.7)$

$4.1=a+22.1$

$-18=a$

$a=-18$

Using the formula:

$s_n=\frac{n}{2}[2a+(n-1)d$

When n=26

$s_{26}=\frac{26}{2}[2(-18)+(26-1)(1.7)]$

On simplification we get:

$s_{26}=84.5$

8 0

2 years ago

The scale of a certain map is 4/5 inch = 16 miles. A square park is represneted on the map by a square with side length 5/8 inch

lions [1.4K]

Answer:

The area of this park is 130.60 square miles.

Step-by-step explanation:

Given : The scale of a certain map is $\frac{4}{5}$ inch = 16 miles. A square park is represented on the map by a square with side length $\frac{5}{8}$ inch.

To find : What is the actual area of this park?

Solution :

The scale of a certain map is $\frac{4}{5}$ inch = 16 miles.

Let the side length of $\frac{5}{8}$ inch = x miles.

So, $\dfrac{\frac{4}{5}}{\frac{5}{8}}=\dfrac{16}{x}$

$\dfrac{4\times 8}{5\times5}=\dfrac{16}{x}$

$\dfrac{32}{25}=\dfrac{16}{x}$

$x=\dfrac{16\times 25}{35}$

$x=11.428$

The side length of a square is 11.428 miles.

The area of the square is $A=s^2$ .

$A=(11.42)^2$

$A=130.599\ miles^2$

To nearest hundredth,

The area of this park is 130.60 square miles.

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3 years ago

What is 20% of 120? Select one O O O 20 240

balandron [24]

20% of 120 can be represented as 120 * 0.20
120 * 0.20 = 24

so 20% of 120 is 24

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3 years ago

If tge angle at the center is 62° and the radius is 12 cm.. find the length of arc

insens350 [35]

Answer:

Step-by-step explanation:

r = 12 cm

Theta = 62

Length of arc = $\frac{theta}{360}*(2\pi r)$

$=\frac{62}{360}*2*3.14*12$

= 12.98 cm

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2 years ago

Help what is 2v+5(3v+4

Artemon [7]

explanation:

There isn't an exact way to answer this problem. Is there more to the question? If not, I am unable to answer it for you.

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2 years ago