MATHEMATICS HIGH SCHOOL

What is the value of x? Round your answer to the nearest tenth if necessary.14.3


Right triangle whose two legs measure fourteen and x, and whose hypotenuse measures twenty

Answers

Answer 1
Answer: By the Pythagorean Theorem, x^2+14^2=20^2, so x^2+196=400, so x^2=204.  Then, x=sqrt(204)~=14.3.

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Seven times a number increased by three is 38

Screen Shot 2023-10-12 at 6.57.17 PM

Answers

Answer:

Screen shot 2016-12-25 at 8.01.34 AM

Step-by-step explanation:

Screen Shot titled,"Merry Christmas"

An inequality is shown.12+11/6x≤ 5+3x
Select the statement(s) and number line(s) that can represent the inequality. Click all that apply.
a. The solution set is {6, ∞} for x ∈ R.
b. The solution set is {6, 7, 8, …} for x ∈ N.
c. 6 ≤ x
d. The value of a number substituted for x is greater than 6.
(more options below.)

Answers

The right answer for the question that is being asked and shown above is that: "d. The value of a number substituted for x is greater than 6.; b. The solution set is {6, 7, 8, …} for x ∈ N." These are the statements and number lines that can represent the inequality. 

Answer:

56

Step-by-step explanation:

56y

I was walking to the store at the same time as my friend Angela. No matter what, She has always gotten there twice as fast as me. Half way to the store her friend picks her up on his scooter which was 10 times faster than me. She got there in 30 minutes. How long did it take for me to get there?

Answers

let's call your speed "a"

her walking speed is then "2a"

and her friend's scooter speed is 10 a

let's also call the distance you need to walk "d"

so the time (t)you need is:

d/t=a
t=d/a

and her time is:
 t=(d)/(2) /2a+ (d)/(2) /10a
(half a distance with the speed of 2a and half a distance (d/2) with the distance of 10 a

now we count (we know that her time is 30 minutes)

30= (d)/(4a)+(d)/(20a) //multiply by 20a

600a= 5d+d
600a=6d/divide by 6
100a=d

Now, in order to calculate your time we need to calculate:

t=d/a

but we know how much is d now!
t=(100a)/(a)=100

which means that you need 100 minutes, or 1 h 40 minutes!!!

If an automobile travels 450 yards in 15 seconds, how many feet does it travel in 1/3 of a second?how do I calculate this problem?

Answers

You can calculate it from the formula for velocity
v=(s)/(t)
if it travels 450 yards in 15 seconds
s=450 yards t= 15s
1 yard = 3 feet so
s= 1350 feet
v=(1350)/(15)=90 (feet)/(s)
so if in one second it travels 90 feet, in (1)/(3) of a second it travels (90)/(3) =30 feet

Simplify 2(5x-3)-(2x+4), 24x-12y+40÷4, (2x)(3y)+2(-xy)

Answers

2(5x-3)-(2x+4)=2\cdot5x-2\cdot3-2x-4\n\n=10x-6-2x-4=8x-10\n\n\n(24x-12y+40):4=24x:4-12y:4+40:4\n\n=6x-3y+10\n\n\n(2x)(3y)+2(-xy)=6xy-2xy=4xy

Why is 6/8 greatest than 5/8 but less than 7/8

Answers

Because when the denominator is the same for all the numbers. You just think of it as counting whole numbers, and when you do that you find that 6 is greater than 5, and less than 7.
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