What is -3/4 +7/2 in simplest form

If DEF measures 32 inches, EF = 2x - 10 and DE= 4x find x and the measure of each segment.

azamat

Add EF and DE together to equal 32

2x-10 + 4x = 32

Combine like terms;

6x-10 = 32

Add 10 to each side:

6x = 42

Divide both sides by 6:

x = 42/6

X = 7

EF = 2x-10 = 2(7)-10 = 14-10 = 4

DE = 4x = 4(7) = 28

5 0

3 years ago

the length of a rectangle is 8 less than twice the width. the perimeter is 38 feet. Find the length and width. someone please he

Aleksandr-060686 [28]

Answer:L=4 W=15

Step-by-step explanation:

P=2L+2W

38-8=30

If length is 8 less than twice the width and the perimeter is 38, then subtract 38-8 which is 30, then divide 30 by 2 to get 15.

P=2(4) +2(15)

P=38

7 0

3 years ago

PLEASE HELP! The table shows the number of championships won by the baseball and softball leagues of three youth baseball divisi

Irina18 [472]

Answer:

Question 1: $P ( B | Y ) = \frac{ P ( B and Y)}{ P (Y)} = \frac{ \frac{2}{16}}{ \frac{4}{16}} = \frac{1}{2}$

Question 2:

A. $P ( Y | B ) = \frac{ P(Y and B) }{ P(B) } = \frac{ \frac{2}{16} }{ \frac{6}{16} } = \frac{1}{3}$

B. $P( Z | B ) = \frac{ P ( Z and B)}{ P (B)}= \frac{ \frac{1}{16} }{ \frac{6}{16} } = \frac{1}{6}$

C. $P((Y or Z)|B) = \frac{ P ((Y or Z) and B)}{P(B)}= \frac{ \frac{3}{16}}{ \frac{6}{16}}= \frac{1}{2}$

Step-by-step explanation:

Conditional probability is defined by

$P(A|B)= \frac{P(A and B)}{P(B)}$

with P(A and B) beeing the probability of both events occurring simultaneously.

Question 1:

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

Y: Championships won by the 10 - 12 years old, beeing

$P ( Y)= \frac{ 4 }{ 16 }$

then

P( B and Y)= \frac{ 2 }{ 16 }[/tex]

By definition,

$P ( B | Y ) = \frac{ P ( B and Y)}{ P (Y)} = \frac{ \frac{2}{16} }{ \frac{4}{16} } = \frac{1}{2}$

Question 2.A:

Y: Championships won by the 10 - 12 years old, beeing

$P ( Y)= \frac{ 4 }{ 16 }$

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

then

P( B and Y)= \frac{ 2 }{ 16 }[/tex]

By definition,

$P ( Y | B ) = \frac{ P(Y and B) }{ P(B) } = \frac{ \frac{2}{16} }{ \frac{6}{16} } = \frac{1}{3}$

Question 2.B:

Z: Championships won by the 13 - 15 years old, beeing

$P ( Z)= \frac{ 1 }{ 16 }$

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

then

P( Z and B)= \frac{ 1 }{ 16 }[/tex]

By definition,

$P( Z | B ) = \frac{ P ( Z and B)}{ P (B)}= \frac{ \frac{1}{16} }{ \frac{6}{16} } = \frac{1}{6}$

Question 3.B

Y: Championships won by the 10 - 12 years old, beeing

$P ( Y)= \frac{ 4 }{ 16 }$

Z: Championships won by the 13 - 15 years old, beeing

$P ( Z)= \frac{ 1 }{ 16 }$

then

$P (Y or Z) = P(Y) + P(Z) = \frac{6}{16}$

B: Baseball League Championships won, beeing

$P ( B ) = \frac{ 6 }{16}$

so

$P((YorZ) and B)= \frac{3}{16}$

By definition,

$P((Y or Z)|B) = \frac{ P ((Y or Z) and B)}{P(B)}= \frac{ \frac{3}{16}}{ \frac{6}{16}}= \frac{1}{2}$

3 0

3 years ago

The Olympic record for mens 50meter freestyle is 21.3 seconds. a. express the speed in meters per second b. At this rate how man

7nadin3 [17]

V = s / t
v = 50 / 21.3
v = 2.43....
a) the speed in meters per second is 2.43...
2.43.... * 60 = 145.8
b) in 1 minute he would swim about 145.8 meters

7 0

3 years ago

Read 2 more answers

Celeste ordered a pack with 7 pens and 1 stapler. Each pen weighed 7 grams. The stapler weighed 486 grams. How many kilograms di

PSYCHO15rus [73]

Answer: 0.535kilogram

Step-by-step explanation:

From the question, we are informed that Celeste ordered a pack with 7 pens and 1 stapler and that each pen weighed 7 grams while the stapler weighed 486 grams.

The weight of the order will then be:

= 7 pens + 1 stapler

= 7(7 grams) + 1(486 grams)

= 49 grams + 486 grams

= 535 grams

To convert grams to kilogram,, we have to divide by 1000. This will be:

= 535/1000

= 0.535kilograms

The order weigh 0.535kilograms

8 0

3 years ago