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3 years ago

(50 POINTS HELP GIVING BRAINLIEST) In which pair do both decimals represent rational numbers

Mathematics

2 answers:

MArishka [77]3 years ago

8 0

Answer:

A. 0.318 and 0.3444...

Step-by-step explanation:

Rational numbers are numbers that can be expressed as fractions. Rational numbers include finite values and repeating decimals that have a pattern.

Because all of the answer choices include decimals that have no predictable pattern of decimals, A must be correct.

0.318 is rational because it is finite. 0.3444... will continue to add 4 on to the end of the number, meaning it is repeating predictably, and it is rational.

timofeeve [1]3 years ago

7 0

Answer:

C im pretty sure 7.02 and 0.34

Step-by-step explanation:

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What is m∠PTR? a. 12 b. 40 c. 50 d. 140 HELP!!!

kramer

Answer:

m<PTR = 140°

Step-by-step explanation:

First, find the value of x. To find the value of x, derive an equation which you'd use in solving for x.

m<PTQ = (x + 28)°

m<RTS = (2x + 16)°

m<PTQ = m<RTS (vertical opposite angles are congruent)

Therefore:

x + 28 = 2x + 16

Solve for x. Combine like terms

28 - 16 = 2x - x

12 = x

x = 12

Find m<PTQ

m<PTQ = (x + 28)

plug in the value of x

m<PTQ = 12 + 28 = 40°

m<PTR + m<PTQ = 180° (supplementary angles)

m<PTR + 40° = 180° (substitution)

m<PTR = 180 - 40 (subtracting 40 from each side)

m<PTR = 140°

3 0

3 years ago

what is the coordinate of the vertex of the parabola y-2=1/12(x+10) a. ( 10,-2) b. (-10,2) c. (-2,10) d. (2.-10)

solniwko [45]

Answer:

$y-a= c(x-b)^2$

With the vertex $V= (b,a)$

We see that b = -10 and a = 2 and then the vertes wuld be:

$V= (-10,2)$

And the best option is:

b. (-10,2)

Step-by-step explanation:

For this problem we have the following function:

$y-2 = \frac{1}{2} (x+10)$

And if we compare this expression with the general expression for a parabola given by:

$y-a= c(x-b)^2$

With the vertex $V= (b,a)$

We see that b = -10 and a = 2 and then the vertes wuld be:

$V= (-10,2)$

And the best option is:

b. (-10,2)

4 0

3 years ago

Howie sorkin can travel 8 miles upstream in the same time it takes him to go 12 miles downstream. His boat goes 15 mph in still

lozanna [386]

Answer: the speed of the current is 2.5 mph

Step-by-step explanation:

Let the speed of the boat be x miles per hour

Let the speed of the current be y miles per hour

Speed = distance / time

Time = distance/speed

If the boat goes 12miles downstream(in still water) at 15 mph then, the time is

12/ 15 = 0.8 hours

In still water, it means that it moved in the same direction with the current.

The total speed would be x + y. Therefore

x + y = 15 - - - - - - -1

If the boat goes 8 miles upstream in 0.8 hours, the the speed is

8/ 0.8 = 10 miles per hour

Assuming it moved in the opposite direction to the current.

The total speed would be x -y. Therefore

x - y = 10 - - - - - - -2

Adding equation 1 and equation 2, it becomes

2x = 25

x = 25/2 = 12.5

y = 15 - x

y = 15 - 12.5 = 2.5 miles per hour

8 0

3 years ago

Gabrielle is baking large batches of brownies and cookies to share with her friends and family. Among other ingredients, her bro

USPshnik [31]

The system of inequalities can model Gabrielle’s situation is;

x + 2y ≤ 20

x + 2y ≤ 203x + 2y ≤ 21

<h3>Inequality</h3>

It follows from the task content, that the inequalities which can be used to model Gabrielle's situation be determined.

By setting variables as follows;

batches of brownies = x
batches of cookies = y

Brownie:

Sugar = 1 cup

Eggs = 2

Cookie:

Sugar = 3 cups

Eggs = 2

x + 2y ≤ 20

x + 2y ≤ 203x + 2y ≤ 21

Learn more about inequality:

brainly.com/question/25275758

#SPJ1

5 0

2 years ago

Melinda wants to have a picture window in the shape of a regular hexagon in her new home. She wants the perimeter of the hexagon

salantis [7]

6*x<=9
x<=3/2 feey or 1.5 feet

7 0

3 years ago