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3 years ago

Richard and Teo have a combined age of 35. Richard is 14years older than twice Teo's age. How old are Richard and Teo?

Mathematics

1 answer:

dedylja [7]3 years ago

8 0

Answer:

Step-by-step explanation:

(35-14)/3=teo 7

Richard is 28

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Jessica Reads a story about a turtle that swam 16 feet in 24 seconds. She assumes that the time that it takes the turtle to swim

Zigmanuir [339]

Answer:

Time (secs) => distance (ft)

1 => ⅔

15 => 10

24 => 16

45 => 30

Step-by-step explanation:

Equation to represent this proportional relationship is $d = tk$ , where,

t = time

d = distance

k = constant of proportionality

To complete the table, let's find k given that the turtles swarm 16 ft (d) in 24 secs (t).

Substitute d = 16, t = 24 into the equation.

$d = tk$

$16 = 24k$

$\frac{16}{24} = k$ (division property of equality)

$\frac{2}{3} = k$

Let's complete the table by substituting the value of k and the other given value of t or d, as the case may be:

For 1 sec, let's find distance (d):

$d = tk$

$d = 1*\frac{2}{3}$

d = ⅔ ft

For 10 ft, let's find the time (t) taken:

$d = tk$

$10 = t*\frac{2}{3}$

Multiply both sides by 3

$10*3 = t*\frac{2}{3}*3$

$30 = t*2$

Divide both sides by 2

$\frac{30}{2} = \frac{t*2}{2}$

$15 = t$

t = 15 secs

For 45 secs, let's find distance (d):

$d = tk$

$d = 45*\frac{2}{3} = 15*2$

d = 30 ft

5 0

3 years ago

The 4th term in a geometric sequence is -15, the 5th term is 45 and the 6th term is -135. Find the sum of the first 7 terms.

Andreas93 [3]

Answer:

d) 303 8/9

Step-by-step explanation:

4th term = ar^3 and 5th = ar^4 where a = first term and r = common ratio.

So ar^4 / ar^3

= r = 45/-15 = -3.

Working back,:

The first term a = ar^3/ r^3

= -15 / (-3)^3

= -15/-27

= 5/9

Sum of n terms = a * (r^n - 1)/(r-1)

= 5/9 * ((-3)^7 - 1 ) / (-3 -1)

= 303 8/9

3 0

2 years ago

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In right ∆ABC the altitude CH to the hypotenuse AB intersects angle bisector AL in point D. Find BC if AD = 8 cm and DH = 4 cm.

alina1380 [7]

Check the picture below.

notice that the triangle ADH, since the segment AL is an angle bisector, meaning it cuts the angle A in two equal halves, then the triangle ADH is only using half of A.

5 0

3 years ago

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NEED HELP NOW!!!

Amiraneli [1.4K]

D.

Explanation:

a landscape of farmland bisected by long straight roads"

divide into two parts.

hope I help you ☺️❤️

:) :>

8 0

2 years ago

Factor completely: X^3-5x^2-9x+45

lesantik [10]

Answer:

x^2(3x-5)-9(x_5)

I think that is the answer and hope you will benefit from it

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3 years ago

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Richard and Teo have a combined age of 35. Richard is 14years older than twice​ Teo's age. How old are Richard and​ Teo?

Richard and Teo have a combined age of 35. Richard is 14years older than twice Teo's age. How old are Richard and Teo?