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Savatey [412]
3 years ago
12

Lisa counted 35 blue and white cars. There were 6 times as many blue cars as white cars. How many blue cars were there? How many

white cars were there?
Mathematics
1 answer:
HACTEHA [7]3 years ago
5 0
If there is 6 times as many blue cars as white cars, share it in the ratio 6:1.
6 + 1 = 7
35 ÷ 7 = 5
6 x 5 = 30
1 x 5 = 5
Answer: 30 blue cars and 5 white cars
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Jason wants to walk the shortest distance to get from the parking lot to the beach. a.How far is the spot on the beach from the
lara31 [8.8K]

3 RIGHT TRIANGLES

1 big right triangle is divided into 2 smaller ones. Medium and small.

<span> a.How far is the spot on the beach from the parking lot? </span>

Medium triangle: long leg = 32 m ; short leg = x

Small triangle: long leg = x ; short leg = 18m

32/x = x/18

32*18 = x*x

576 = x²

√576 = √x²

24 = x    

Parking lot to the beach is 24 meters.

<span>b. How far will he have to walk from the parking lot to get to the refreshment stand?</span>

Use Pythagorean theorem:

Medium triangle: long leg = 32 m ; short leg = 24 m ; hypotenuse = ?

32²+ 24² = c²

1024 + 576 = c²

1600 = c²

√1600 = √c²

40 m = c

Parking lot to refreshment stand is 40 meters.

5 0
3 years ago
PLZ FAST I DONT WANNA DIE
gavmur [86]

Answer:

x=15

Step-by-step explanation:

<GCB=180-5x

<EBA=9x

<DAC=8x

The sum of the three exterior angles equals 360.

(180-5x)+9x+8x=360

180-5x+9x+8x=360

-5x+9x+8x=360-180

12x=180

x=15

6 0
3 years ago
Pls answer and u will get banliest
In-s [12.5K]

Answer:

136°

Step-by-step explanation:

Vertically opposite angles are always equal.

The opposite angle to x is 136°.

Both angles are vertically opposite angles, so they are equal.

5 0
3 years ago
Read 2 more answers
What is the length of the longest side of a triangle that has vertices at (-2,6) (-4,6) and (-4,4)?
zalisa [80]

Length (2, 6) to (-4, 6) is sqrt((x2 - x1))^2 + (y2 - y1)^2) = sqrt((-4 -2)^2 + (6 - 6)^2) = sqrt((-6)^2 + 0) = 6

Length (2, 6) to (-4, 4) is sqrt((-4 - 2)^2 + (4 - 6)^2) = sqrt((-6)^2 + (-2)^2) = sqrt(36 + 4) = sqrt(40)  = 2sqrt(10) units

Length (-4, 6) to (-4, 4) is sqrt((-4 - (-4))^2 + (4 - 6)^2) = sqrt(0^2 + (-2)^2) = 2

So the length of the longest side is 2sqrt(10) units
6 0
2 years ago
A card is being drawn from a standard deck of playing cards. Find each probability.
EastWind [94]
These are 6 questions and 6 answers.

To find each probability we will use the definition of probability:

Probability = number of positive outcomes / number of total possible outcomes

1) <span>P(Jack or ten)
</span>

<span>Answer: 2/13 ≈ 0.12
</span>

Justification:

i) Positive outcomes: A standard deck of cards has 4 jacks and 4 tens, then those are 4 + 4 = 8 different positive outcomes.

ii) Possible outcomes: a standard deck of cards has 52 different cards, so, that is a total of 52 different possible outcomes

 
iii) Probability, P


P = number of positive outcomes / number of total possible outcomes

P = 8 / 52 = 2/13 ≈ 0.15

<span> 2.P(red or black)
</span>

Answer: 1

Justification:

i) Positive outcomes

Half of the cards are red and half of the cards are black, so they both add for the total of the cards = 52


ii) Possible outcomes: 52 cards


iii) Probaility, P 

P = number of positive outcomes / number of total possible outcomes

P = 52 / 52 = 1

<span> 3.P(queen or club)
</span>

Answer: 4/13 ≈ 0.31

Justification:


i) Positive outcomes

There are 4 Queens.

There are 1/4 of 52 clubs = 1/4 × 52 = 13 clubs.

But you cannot add all of them, because one club is the Quenn of Clubs.

Then, the total number of different Queens and clubs is 4 + 13 - 1 = 16



ii) Possible outcomes: 52 different cards


iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 16 /52 = 4 / 13 ≈ 0.31


<span> 4.P(red or ace)
</span>

Answer: 7 / 13 ≈ 0.54


Justification:


i) Positive outcomes

Half of the cards are red: 26

There are 4 aces. 

Since 2 aces are red, the number of different red and aces cards is: 26 + 4 - 2 = 28

ii) Possible outcomes: 52 different outcomes


iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 28 / 52 = 7 / 13 ≈ 0.54

<span> 5.P(diamond or black)
</span><span>
</span>
Answer: 1/2 = 0.5

Justification:

i) Positive outcomes

There are 52 / 4 = 13 diamonds

There are 26 black cards.


All the diamonds are black cards.

Then, the number of different diamond or black cards is 13 + 26 - 13 = 26

ii) Possible outcomes: 52 different cards.

iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 26 / 52 = 1/2 = 0.5

6.P(face card or spade)

Answer: 11/26 ≈ 0.42


Justification:

i) Positive outcomes

Face cards are jacks, queens and kings. That is 3 × 4 = 12 different cards.

The spades are 13 cards.

Since, 3 of the faces are spade cards, the number of different cards of those types are 12 + 13 - 3 = 22


ii) Possible outcomes: 52 different cards


iii) Probaility, P

P = number of positive outcomes / number of total possible outcomes

P = 22 / 52 = 11 / 26 ≈ 0.42
4 0
2 years ago
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