MATHEMATICS HIGH SCHOOL

Compare 1⁄2 with 3⁄4 using ( <, >, =).

Answers

Answer 1
Answer: 1/2< 3/4 
Think of it as decimals 
1/2 is .50 and 3/4 is .75 
Hope this Helps :)
Answer 2
Answer: As you can see above, 3/4 is larger than 1/4. The larger the numerator, the larger the fraction. so >

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Line KL has an equation of a line y = 4x + 5. Which of the following could be an equation for a line that is perpendicular to line AB? (6 points)y = 4x − 8

y = 1 over 4x − 8

y = −4x − 8

y = −1 over 4x − 8

Answers

To find a perpendicular slope (or line), the slope (in this case 4x) must be the opposite sign and its reciprocal, which is basically the fraction flipped upside down. Since 4 is technically 4/1, that fraction flipped is 1/4. And since you need to flip the sign too, instead of it being a positive number, it's negative. Your answer is -1/4x-8
y = -1 over 4x - 8 is the answer I think

athan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were allergic to penicillin, Nathan had a 75% chance of having the same allergy. The doctor performed a skin test to see whether Nathan would react to it. The test is 98% accurate. What is the probability that Nathan is allergic to penicillin and the test predicts it?

Answers

75/25.......................

Answer:

C = .9423

Step-by-step explanation:

i took the test and got it right.

A horse that weighs 1 1/4 tons is carrying a 110 pound person, a 15 ounce water bottle, and a 16 1/2 pound basket what is the weight of the horse, rider, and items in total?

Answers

Answer:

2635.875pounds

Step-by-step explanation:

Converting all the units to pounds for unit consistency. Let's convert

1 1/4tons horse weight and 15ounce water bottle to pounds.

According to the conversion;

1 ton = 2000pounds

1 1/4 tons = (2000×5/4)pounds = 2500pounds

Similarly for the conversion of ounce to pounds;

1 ounce = 0.625pound

15 ounces of water bottle = (0.625×15)pounds

= 9.375pounds

The total weight of the horse, rider, and items in total will give;

2500pounds horse + 110pounds person + 9.375pounds water bottle + 16.5pounds basket

= 2635.875pounds

Evaluate f(x) = x2 + 3x − 4 when x = 4:

Answers

Answer:

f(x)=24

Step-by-step explanation:

Replace x in the function with the value 4.

f(4)= (4)^2 + 3(4) - 4  

16 + 12 -4

28 - 4

F(x)= 24

Write the equation for the perpendicular bisector of a segment that has endpoints (–1, 10) and (3, 6).A) y = x – 7
B) y = x + 7
C) y = –x + 9
D) y = x + 11

Answers

Answer:

y= x+7

Step-by-step explanation:

find the midpoint using the midpoint formula

you get (1,8)

find the slope

-1 and the opposite reciprocal is 1

put the midpoint and  the opposite reciprocal slope in

the formula y-8= 1(x-1)

simplify y=x+7

Can somebody help me with number four plz

Answers

Step-by-step explanation:

3.

$30.32/8 = $3.79 per gallon

4. (a)

Weight of single gallon = 41.7/5 = 8.34 pounds

(b)

Weight of 70 gallons = 70*8.34 =

583.8 pounds
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