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4 years ago

Create a model to compare these two texting plans:

Mathematics

1 answer:

RUDIKE [14]4 years ago

8 0

Answer:

Step-by-step explanation:

Let x = number of texts

For plan A

Plan A costs $15 a month, including 200 free texts. After 200, they cost $0.15 each. It means that plan A has a base cost of $15 monthly and charge $0.15 for (total texts - 200 free texts). The model becomes

Cost of plan A = 15 + 0.15(x -200)

For plan B

Plan B costs $20 a month, including 250 free texts. After 250, they cost $0.10 each. It means that plan B has a base cost of $20 monthly and charge $0.10 for (total texts - 250 free texts). The model becomes

Cost of plan B = 20 + 0.10(x -250)

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Write the equation 2x - 3y = 6 in slope-intercept form. User: Write the equation for 5x + 2y = 3 in slope-intercept form.

evablogger [386]

Slope intercept form is: y=mx+b

So you take the first equation: 2x-3y=6 and you subtract the 2x from both sides and get: -3y= 2x+6

Then you take that equation: -3y= 2x+6 and divide -3 from both sides and get: y= -2/3x -2

So the equation 2x-3y=6 in slope intercept from is
y = -2/3x -2

Can you do the next one your self based on the one i did...?

(Scroll and check ⬇️ )

Here ya go ;)

5x + 2y = 3 okay same steps as above you want to get the x on the other side so you subtract the 5x from both sides and get:

2y = 5x + 3

Then you want to get the y by its self so you divide the 2 from both sides so you get:

y = 5/2x +2/3

Now idk if your allowed to leave it like that (based on your teacher's preferance really) but if not you can simplfy your fractions and get:

y = 2.5x + 0.66

( i would leave the 2/3 and just leave it as y = 2.5x + 2/3 ) but you do you and i hope that helped you :)

7 0

4 years ago

Suppose a random sample of 25 students is selected from a community college where the scores in the final exam (out of 125 point

BartSMP [9]

Answer:

he probability that the sample mean deviates from the population mean = 112 by no more than 4= 0.9050

Step-by-step explanation:

mean = 112

sd = 12/sqrt(25) = 2.4

z = (x - μ)/σ

z = (116 - 112)/2.4 = 1.67

Therefore,

P(X >= 116) = P(z <= (116 - 112)/2.4)

= P(z >= 1.67)

= 1 - 0.9525

= 0.0475

z = (x - μ)/σ

z1 = (108 - 112)/2.4 = -1.67

z2 = (116 - 112)/2.4 = 1.67

Therefore, we get

P(108 <= X <= 116) = P((116 - 112)/2.4) <= z <= (116 - 112)/2.4)

= P(-1.67 <= z <= 1.67) = P(z <= 1.67) - P(z <= -1.67)

= 0.9525 - 0.0475

= 0.9050

6 0

4 years ago

Consider the two triangles.

GuDViN [60]

Answer:

(A)Show that the ratios StartFraction U V Over X Y EndFraction , StartFraction W U Over Z X EndFraction , and StartFraction W V Over Z Y EndFraction are equivalent.

$\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}$

Step-by-step explanation:

In Triangles WUV and XZY:

$\angle VUW$ and \angle YXZ$ are congruent. \\\angle U W V$ and \angle X Z Y$ are congruent.\\ \angle U V W$ and \angle Z Y X$ are congruent.$

Therefore:

$\triangle UWV \cong \triangle XZY$

To show that the triangles are similar by the SSS similarity theorem, we have:

$\dfrac{UW}{XZ}=\dfrac{WV}{ZY}=\dfrac{UV}{XY}$

As a check:

$\dfrac{UW}{XZ}=\dfrac{40}{32}=1.25\\\\\dfrac{WV}{ZY}=\dfrac{60}{48}=1.25\\\\\dfrac{UV}{XY}=\dfrac{50}{40}=1.25$

The correct option is A.

4 0

3 years ago

Find the L.C.M and H.C.F of: a. 432 and 486

USPshnik [31]

Answer:

L.C.M of 432 and 486: 3888

H.C.F of 432 and 486: 54

Step-by-step explanation:

3 0

3 years ago

1 The metal used to make a coin is a mixture of steel and copper. The ratio mass of steel

Masteriza [31]

$\huge{ \underline{ \underline{ \gray{ \bf{Solution:}}}}}$

Let,

Mass of the steel be 108x
Mass of the copper be 7x
Then, Total mass = 108x + 7x = 115x

Given,

Total mass of the coin = 230 mg

That means,

⇛ Total mass of the coin = 230 mg

⇛ 115x = 230 mg

⇛ x = 230 mg/115

⇛ x = 2 mg

Then,

Mass of the steel = 108(2) = 216 mg
Mass of the copper = 7(2) = 14 mg

☁️ ANSWER - 14 mg (Mass of copper)

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7 0

3 years ago