If x + y = x, show that x = 1.

There were a total of two hundred four baseball games in the season. The season is played for seventeen months. How many basebal

Fittoniya [83]

Answer:

12

Step-by-step explanation:

you have to divide 214 by 17

5 0

3 years ago

A student must choose exactly two out of three electives: art, French, and mathematics. He chooses art with probability 5/8, Fre

miskamm [114]

Answer:

The probability of choosing mathematics =P(M)= $\frac{3}{4}$

The probability that he chooses either art or French=1

Step-by-step explanation:

We are given that a student must choose exactly two out of three elective subjects : art ,french and mathematics.

The probability of choosing art= $\frac{5}{8}$

The probability of choosing french = $\frac{5}{8}$

The probability of choosing French and art= $\frac{1}{4}$

Let A ,F and M denotes the students of art,french and mathematics.

$P(A)=P(A\cap M)+P(A\cap F)$

$P(A\cap F)+P(A\cap M)=\frac{5}{8}$

$P(F\cap M)+P(F\cap A)=P(F)=\frac{5}{8}$

Probability of choosing mathematics only=0

Probability of choosing French only =0

Probability of choosing art only =0

Probability of choosing all three subjects =0

$P(M)=P(M\cap A)+P(M\cap F)$

$P(A\cap F)=\frac{1}{4}$

Substitute the value then we get

$P(A\cap M)=\frac{5}{8}-\frac{1}{4}==\frac{3}{8}$

$P(F\cap M)=\frac{5}{8}-\frac{1}{4}=\frac{3}{8}$

Therefore, $P(M)=P(A\cap M)+P(F\cap M)=\frac{3}{8}+\frac{3}{8}=\frac{6}{8}=\frac{3}{4}$

Hence, the probability of choosing mathematics =P(M)= $\frac{3}{4}$

$P(A\cup F)=P(A)+P(F)-P(A\cap F)$

$P(A\cup F)=\frac{5}{8}+\frac{5}{8}-\frac{1}{4}$

$P(A\cup F)=\frac{5+5-2}{8}=1$

Hence, the probability that he chooses either art or French=1

5 0

3 years ago

X Plus y equals 8 in function form

Whitepunk [10]

Hey there,

The first thing you have to do is add -1y to both sides:
1x + 1y = 8
+-1y +-1y

You should get: 1x = -1y+8

So your total answer is: 1x = -1y+8

~~I hope I helped and let me know if you need anything else~~

Latis1218

7 0

3 years ago

Does anyone know how to do this I need help

navik [9.2K]

84+8x=15x+140
Subtract 84 from both sides
8x=15x+56
Subtract 15x from both sides
-7x=56
Divide both sides by -7
x=-8

4 0

3 years ago

What is the exact perimeter of kite ? Show your work.

Afina-wow [57]

Answer:

The perimeter of the kite is 29 units.

Step-by-step explanation:

1. Let's use the Pythagorean Theorem to find the perimeter of the kite:

With the information given, we have four right triangles with a new point A, intersecting UW and VX. Those triangles are:

Δ UVA

Δ VWA

Δ UXA

Δ XWA

As we can see in the figure, length of UV and VW is the same and the length of UX and WX is also the same.

2. Let's find the value of UV and VW

UV is the hypotenuse of Δ UVA and it sides are 3 and 4 units length. So, we can calculate the length of UV this way:

Length of UV ² = UA ² + VA ²

Replacing with the real values:

Length of UV ² = 3 ² + 4 ²

Length of UV ² = 9 + 16

Length of UV ² = 25

√Length of UV ² = √25

Length of UV = 5 units ⇒ Length of VW = 5 units

3. Let's find the value of UX and WX

UX is the hypotenuse of Δ UXA and it sides are 3 and 9 units length. So, we can calculate the length of UX this way:

Length of UX ² = UA ² + XA ²

Replacing with the real values:

Length of UX ² = 3 ² + 9 ²

Length of UX ² = 9 + 81

Length of UV ² = 90

√Length of UV ² = √90

Length of UV = 9.5 units (rounding to the nearest tenth) ⇒ Length of WX= 9.5 units

4. Let's calculate the perimeter of the kite:

Perimeter of the kite = UV + VW + WX + UX

Perimeter of the kite = 5 + 5 + 9.5 + 9.5

Perimeter of the kite = 29 units

7 0

3 years ago

If x + y = x, show that x = 1.​

If x + y = x, show that x = 1.