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stira [4]
2 years ago
6

The car travels 60 km from city A to city B passed at speed x. On the way back, the speed was increased by 12 km / h. What is th

e initial speed if the car has traveled for a total of 10 hours?​
Mathematics
1 answer:
ch4aika [34]2 years ago
5 0

Answer:

54 km/h

Step-by-step explanation:

use s=½(u+v)t

600=½(x+x+12)10

600=½(2x+12)10

600=(2x+12)5

600=10x+60

540=10x

x=54 km/h

I think this is how to do it, I'm so sorry if I do it wrong!

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In trapezoid ABCD with bases AB and DC , diagonals intersect at point O. Find the length of diagonal BD , if BO=6 cm and: AO/OC
aalyn [17]

Answer:

8 cm

Step-by-step explanation:

... BO/OD = AO/OC = 3/1

Written another way, this is ...

... OD : BO = 1 : 3

Now, BD = OD + BO, so we have

... BD : BO = (OD +BO) : BO = (1 +3) : 3 = 4 : 3

That is, BD = 4/3 × BO

... BD = 4/3 × 6 cm = 8 cm

6 0
2 years ago
A 50 centimeter piece of wire is bent into a circle. What is the area of this circle?
Korvikt [17]

Answer:

198.95 cm²

Step-by-step explanation:

Circumference = 50cm

C = πD

D = C/π

r = D/2

r = 50/π/2

r= 7.957747…..cm

Area = π r²

A = π x 7.957747….²

A = 198.95 cm² (2dp)

6 0
2 years ago
Your brother is 1313 your age. Your sister is 6 years older than your brother. Your sister is 10 years old. Write and solve an e
il63 [147K]

There seems to be a typo. You wrote 1313, but I'm assuming you meant to say the fraction 1/3. If this assumption is correct, then continue with the rest of the solution. If the assumption is not correct, then ignore what I wrote below and please provide clarification of what the "1313" should represent. Thank you.

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

B = your brother's age

S = your sister's age

Y = your age

All of these ages are current present day ages.

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

"your brother is 1/3 your age" so B = (1/3)Y or B = Y/3.

"Your sister is 6 years older than your brother" so S = B+6

"Your sister is 10 years old" so S = 10.

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

S = B+6

B+6 = S

B+6 = 10 ... plug in S = 10

B+6-6 = 10-6 ... subtract 6 from both sides

B = 4

Your brother is 4 years old.

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

B = Y/3

Y/3 = B

Y/3 = 4 .... plug in B = 4

3(Y/3) = 3*4 ... multiply both sides by 3

Y = 12

<h3>Answer: Your age is 12 years old.</h3>

note: This answer hinges on assumption that the "1313" should be "1/3".

6 0
3 years ago
How do i match the statements
love history [14]

Step-by-step explanation:

Michelle orders soup, or she orders salad goes with disjunction.

The fireworks were loud and colorful goes with conjunction.

If the watch is broken, then it it showing the wrong time goes with conditional.

5 0
2 years ago
I can't figure it out
Aneli [31]

Answer:

see explanation

Step-by-step explanation:

Given

x - 6y = 18

To find the x- intercept let y = 0 in the equation and solve for x, that is

x - 0 = 18

x = 18 ← x- intercept ⇒ (18, 0 )

To find the y- intercept let x = 0 in the equation and solve for y, that is

0 - 6y = 18

- 6y = 18 ( divide both sides by - 3 )

y = - 3 ← y- intercept ⇒ (0, - 3 )

3 0
3 years ago
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