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taurus [48]
3 years ago
9

If a bag contains 18 red, 6 yellow, 24 blue, and 8 white balloons, what is the part-to-whole ratio of white balloons to all ball

oons?
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
4 0

18 + 6 + 24 + 8 = 56

8 : 56

1 : 7

The part-to-whole ratio of white balloons to all balloons is 1:7

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: 4 diagonals

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3 0
2 years ago
1. (a). A police car, approaching right-angled intersection from the north, is chasing a speedmg
tamaranim1 [39]

Answer:

<em>The SUV is running at 70 km/h</em>

Step-by-step explanation:

<u>Speed As Rate Of Change </u>

The speed can be understood as the rate of change of the distance in time. When the distance increases with time, the speed is positive and vice-versa. The instantaneous rate of change of the distance allows us to find the speed as a function of time.

This is the situation. A police car is 0.6 Km above the intersection and is approaching it at 60 km/h. Since the distance is decreasing, this speed is negative. On the other side, the SUV is 0.8 km east of intersection running from the police. The distance is increasing, so the speed should be positive. The distance traveled by the police car (y) and the distance traveled by the SUV (x) form a right triangle whose hypotenuse is the distance between them (d). We have:

d=\sqrt{x^2+y^2}

To find the instant speeds, we need to compute the derivative of d respect to the time (t). Since d,x, and y depend on time, we apply the chain rule as follows:

\displaystyle d\ '=\frac{x.x'+y.y'}{\sqrt{x^2+y^2}}

Where x' is the speed of the SUV and y' is the speed of the police car (y'=-60 km/h)

We'll compute  :

d=\sqrt{(0.8)^2+(0.6)^2}=\sqrt{0.64+0.36}

d=1\ km

We know d'=20 km/h, so we can solve for x' and find the speed of the SUV

\displaystyle \frac{x.x'+y.y'}{\sqrt{x^2+y^2}}=20

Thus we have

x.x'+y.y'=20

Solving for x'

\displaystyle x'=\frac{20-y.y'}{x}

Since y'=-60

\displaystyle x'=\frac{20+0.6(60)}{0.8}

x'=70\ km/h

The SUV is running at 70 km/h

7 0
3 years ago
Mr. Park pays $1000 per month in rent. Before depositing his paycheck, his checking account balance was $359.47. After the depos
IrinaVladis [17]

Answer:

Mr Park has enough money to pay his rent.

Step-by-step explanation:

The amount of the monthly rent paid  = $1000

The account balance after depositing the paycheck = $1441.33

Now, to pay the rent,account should have more than the rent money $1000

Also, $1441.33  >  $1000

⇒ The amount in the bank after depositing the paycheck   >  The rent to be paid

Hence, Mr Park has enough money to pay his rent.

6 0
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- Factorise 121y² - m²​
Otrada [13]

Answer:

\boxed{ \bold{ { \boxed{ \sf{(11y + m)(11y - m)}}}}}

Step-by-step explanation:

\sf{121 {y}^{2}  -  {m}^{2} }

\longrightarrow{ \sf{ {(11y)}^{2}  -  {(m)}^{2} }}

Use the formula of a² - b² = ( a + b ) ( a - b )

\longrightarrow{ \sf{(11y + m)(11y - m)}}

Hope I helped!

Best regards

6 0
3 years ago
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