Which system has the best solution as the system below?

The diagram below models the layout at a carnival where G, R, P, C, B, and E are various locations on the grounds. GRPC is a par

mylen [45]

Answer:

The similar triangles are $\triangle BPE$ and $\triangle BCG$

$BE = 321$ and $PE =286$

Step-by-step explanation:

Given

See attachment for the required figure

Solving (a): The similar triangles

The similar triangles are $\triangle BPE$ and $\triangle BCG$

Solving (b): Why they are similar

Both triangles are similar because $\triangle BCG$ is dilated (i.e. enlarged) and then reflected to give $\triangle BPE$ .

Solving (c): Calculate BE and PE

The following are equivalent ratios

$BP: BC = BE : BG$

and

$BP: BC = PE : CG$

Solving for BE, we have:

$BP: BC = BE : BG$

Substitute the known values

$250:350 = BE:450$

Express as fraction

$\frac{250}{350} = \frac{BE}{450}$

Multiply both sides by 450

$450 * \frac{250}{350} = BE$

$321 = BE$

$BE = 321$ -- approximated

Solving for PE, we have:

$BP: BC = PE : CG$

Substitute known values

$250:350 = PE:400$

Express as fraction

$\frac{250}{350} = \frac{PE}{400}$

Multiply both sides by 400

$400 * \frac{250}{350} = PE$

$286 = PE$

$PE =286$

5 0

3 years ago

Which of the following functions has the largest value when x = 3? c(x) = 3x2 + 5x + 22 j(x) = 12x a(x) = 9x

Olin [163]

To determine the function which has the largest value at x=3,

We will calculate the value of each function by substituting the value of x=3 in each of the given function.

Let us consider the first function,

$c(x)=3x^{2}+5x+22$

$c(3)=3\times 3^{2}+5 \times 3+22$

$c(3)=27+15+22$

$c(3)=64$

Let us consider the second function,

$j(x)=12x$

$j(x)=12 \times 3 =36$

Let us consider the third function,

$a(x)=9x$

$a(x)=9 \times 3=27$

Therefore, the function c(x) has the largest value at x=3.

3 0

3 years ago

Sherri saves nickels and dimes in a coin purse for her daughter. The total value of the coins in the purse is $0.95. The number

forsale [732]

I’m guessing that this is for systems of equations?
n - nickels
d - dimes

These are the equations you start off with.
n = 5d-2
0.95 = 0.10d+0.05n

Substitute the top equation for n into the variable n in the bottom equation.
0.95 = 0.10d+0.05(5d-2)

Solve for d.
0.95 = 0.10d+0.25d-0.10
1.05 = 0.35d
3 = d

Substitute d into the top equation and solve for n.
n = 5(3)-2
n = 15-3
n = 12

There are 3 dimes and 12 nickels in the coin purse! Hope this helped <3

7 0

3 years ago

Read 2 more answers

Target sells AAA batteries for $1.10 and AA batteries for $0.50. They sold 350 total batteries earning a total of $560. How many

satela [25.4K]

Answer:

This is not possible because the selling of number of AA batteries cannot be negative.

Step-by-step explanation:

Let us assume that the number of AAA batteries sells be x .

Let us assume that the number of AA batteries sells be y.

As given

Target sells AAA batteries for $1.10 and AA batteries for $0.50. They sold 350 total batteries earning a total of $560.

Equations becomes

x + y = 350

1.10x + 0.50y = 560

Simplify the above equation

$\frac{110x}{100} + \frac{50y}{100} = 560$

110x + 50y = 56000

Two equations becomes

x + y = 350

110x + 50y = 56000

Multiply x + y = 350 by 50 and subtracted from 110x + 50y = 56000 .

110x - 50x + 50y - 50y = 56000 - 17500

60x = 38500

$x = \frac{38500}{60}$

x = 641 .6 (Approx)

Put this value in the equation x + y = 350 .

641.6 + y = 350

y = 350 - 641.6

y = -291.6

This is not possible because the selling of number of AA batteries cannot be negative.

3 0

3 years ago

Solve the problem.

kondaur [170]

Answer:

417

Step-by-step explanation:

bc i said so

8 0

3 years ago