Ask question

Ask question

All categories

2 years ago

14

John traveled 150km in 6 hours and alice traveled 180km in 4 hours. what is the ratio of the average speed of john to average sp

eed of alice?
a. 3:2
b. 2:3
c. 5:9
d. 5:6

1 answer:

alekssr [168]2 years ago

3 0

Answer will be d. 5:6

You might be interested in

4/9 divided by what equals 12

Dahasolnce [82]

(4/9)/x= 12

Multiply both sides by x
4/9=12x

Divide both sides by 12
(4/9)*(1/12)= 4/108
4/108= 1/27

Final answer: 1/27

5 0

2 years ago

Semielliptical Arch Bridge An arch for a bridge over a highway is in the form of half an ellipse. The top of the arch is 20 feet

photoshop1234 [79]

Answer:

the span of the bridge is 73.7 feet

Step-by-step explanation:

The equation of an ellipse with a vertical major axis(i.e major axis parallel to y axis) is given by:

$\frac{(x-h)^{2} }{b^{2} } + \frac{(y-k)^{2} }{a^{2} }= 1$ a>b

where (h,k) are the coordinates of the center of the ellipse, a is the length of the major axis and b is the length of the minor axis

For this problem, the center of the ellipse (h,k) = (0,0)

Therefore:

$\frac{(x)^{2} }{b^{2} } + \frac{(y)^{2} }{a^{2} }= 1$

The top of the arch is 20 feet above the ground level (the major axis), therefore a=20

length of the major axis = 2a= 2*20 = 40

$\frac{x^{2} }{b^{2} } + \frac{y^{2} }{20^{2} }= 1\\\frac{x^{2} }{b^{2} } + \frac{y^{2} }{400 }= 1$

The coordinates of the ellipse (x,y) = (28,13)

$\frac{28^{2} }{b^{2} } + \frac{13^{2} }{400 }= 1$

$\frac{28^{2} }{b^{2} } + 0.4225= 1$

$\frac{784 }{b^{2} } = 0.5775$

b² ≅ 1358

b≅36.85

Length of minor axis (2b) = 73.7 feet.

the span of the bridge is 73.7 feet

7 0

2 years ago

Given: QS bisects ∠TQR; TQ ≅ RQ.

krek1111 [17]

It is given,
rqs,
the reflexive property,
sas

7 0

2 years ago

Read 2 more answers

Parallel Processing uses two or more computers, working together, to solving a problem. You connect two different computers; com

MrRissso [65]

Answer:

together rate = 1/20 min/job

one comp. rate = 1/(x-9) min/job

2nd comp. rate = 1/x min/job

-------------------------------

Equation:

rate + rate = together rate

1/x + 1/(x-9) = 1/20

---

20(x-9) + 20x = x(x-9)

40x-9*20 = x^2-9x

---

x^2-49x + 180 = 0

Factor:

(x-45)(x-4) = 0

Realistic solution since 4-9 is negative:

x = 45 minutes

then

x-9 = 36 minutes (faster computer time to do the job)

Step-by-step explanation:

8 0

2 years ago

A hair stylist knows that 87% of her customers get a haircut and 40% get their hair colored on a regular basis. Of the customers

kvv77 [185]

Answer:

Okay so!

Step-by-step explanation:

for a cut that's .87 and for a color that is .24 so you multiply them together to get the probability for the color which is

.35 or C on edge

7 0

1 year ago