MATHEMATICS HIGH SCHOOL

Which statement is true? A. Every real number is an integer.
B. Every rational number is a real number.
C. Every rational number is a perfect square.
D. Every integer is an irrational number.

Answers

Answer 1
Answer: I'd go with B, every rational number is a real number, but you should probably review the lesson before taking the test.

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On an uphill hike Ted climbs at 3mph. Going back down, he runs at 5mph. If it takes him forty minutes longer to climb up than run down, then what is the length of the hike? if possible, I would like a clear equation.

Answers

Answer:

He hiked 10 miles.

Step-by-step explanation:

rate x time = distance

The distance up and the distance down are equal

3 mi/1 hr  x (h hours + 2/3 hr) = 5 mi/1 hr  x  h hours

3h + 2 = 5h

2 = 2h

h = 1 hour

3mi/hr  x 1 2/3 hr = 5 miles

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last week, Donnell practiced the piano 3 hours longer than Marcus. Together, Marcus and Donnelly practiced the piano for 11 hours. For how many hours did each young man practice the piano?

Answers

Donnell practiced for 7 hours while Marcus practices the piano for 4 hours.

How to form an equation?

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

In other words, an equation is a set of variables that are constrained through a situation or case.

Let's say the number of hours piano played by Donnell is D while by Marcus is M.

Then,

Since Donnell practiced the piano 3 hours longer than Marcus.

D = 3 + M ⇒ D - M = 3

And,

Together, Marcus and Donnelly practiced the piano for 11 hours.

D + M = 11

By adding

2D = 14

D = 7

And,

M = 11 - 7 = 4

Hence "Donnell practiced for 7 hours while Marcus practices the piano for 4 hours".

For more about the equation,

brainly.com/question/10413253

#SPJ2
Let the number of hours Donnell practiced be d
and the number of hours Marcus practiced be m.
We can set up a system of equations.
d = m + 3
m + d = 11
Substitute the value of d that's in the first equation, into the second equation.
m + (m + 3) = 11
2m + 3 = 11
2m = 8
m = 4
Marcus practiced for 4 hours. Since Marcus and Donnell, together, practiced 11 hours, Donnell practiced for 11-4=7 hours.

Tina wants to save money for school. tina invests $400 in an account that pay an interest rate of 7.5%. How many years will it take for the account to reach $8500? Round your answer to the nearest hundredth.

Answers

Here's the given:
P=$400
i=7.5%
A=$8500

The formula used for this problem is:
A = P(1+i)^t

Manipulating the equation to arrive at t, we have:
t = ln(A/P) / ln(1+i)

Plugging in values:
t = ln($8500/$400) / ln(1+0.075)
t = 42.26 years

Which sets of measurements could be the interior angle measures of a triangle?Select each correct answer.

Question 2 options:

10°, 10°, 160°

15°, 75°, 90°

20°, 80°, 100°

35°, 35°, 105°

60°, 60°, 60°

Answers

The sum of all the three interior angles of a triangle are 180 degrees. This does not depend on the positioning of the three sides. The sides can be positioned in any way, but the sum must be 180 degrees.

So, the best possible sets of measurements that could be the interior angle measures of a triangle are : 15°, 75°, 90°  And 60°, 60°, 60°

A ray is a defined term because it

Answers

A ray is a defined term because it extends infinitely in one direction from an endpoint. A line is an infinite series of points in a row and it does not occupy any space. They are also called one dimensional since the direction is in one dimension. A point has a location but no specific size. It can describe a location but you can never determine its actual size. Imagine the point at the end of the previous sentence. And then imagine it getting smaller and smaller until it disappears. We can only use a dot to represent the point.

 

Choose the best description of the cross-section shown in each image. (True/False)

Answers

Step-by-step explanation:

Please recheck and possibly resend your question as there is no cross section of any image attached.
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