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earnstyle [38]
3 years ago
14

A garden contains several different types of flowers. In the garden, 2/3 of the flowers are roses. Of the roses, 1/5 of the flow

ers are white and 3/5 of the flowers are pink. What fraction of the total flowers in the garden are white or pink roses?
A. 11/15
B. 4/15
C. 12/15
D. 8/15
Mathematics
1 answer:
andreyandreev [35.5K]3 years ago
6 0

Answer:

D. 8/15

Step-by-step explanation:

4/5 = 2/3 +1/3

We need to multiply by 6 to find answer as 3 is a divider of 6

4 x 6 =24

5 x 6 =30

24/30

Then we find 1/2 of 30 and add this to make 3/3

Just like 1/2 of 2 = 1 and 2+1 = 3

30 / 2  = 15

15 + 30 =45

The answer is 24/45

We then reduce this fraction by 3 as 6 + 8 do not divide into 45

24/45 = 8/15

The answer is 8/15

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The figure of Circle A shown below has diameter PR which intersects QS at point B and the measurements shown. Calculate the foll
nata0808 [166]

The figure is an illustration of the relationship between the angles in a circle and arc

<h3>The measure of angle PSQ</h3>

From the figure, the arc PQ is subtended by the angle PAQ.

This means that:

PQ = ∠PAQ

Given that ∠PAQ = 130, it means that:

Arc PQ = 130

The measure of PSQ is then calculated using:

∠PSQ = 0.5 * Arc PQ ----- inscribed angle is half a subtended angle.

This gives

∠PSQ = 0.5 * 130

∠PSQ = 65

Hence, the measure of ∠PSQ is 65 degrees

<h3>The measure of arc QR</h3>

A semicircle measures 180 degrees.

This means that:

QR + PQ = 180

So, we have:

QR = 180 - PQ

Substitute 130 for PQ

QR = 180 - 130

QR = 50

Hence, the measure of QR is 50 degrees

<h3>The measure of arc RS</h3>

The measure of arc RS is then calculated using:

∠RPS = 0.5 * Arc RS ----- inscribed angle is half a subtended angle.

Where ∠RPS = 35

So, we have:

35 = 0.5 * Arc RS

Multiply both sides by 2

Arc RS = 70

Hence, the measure of RS is 70 degrees

<h3>The measure of angle AQS</h3>

In (a), we have:

∠PSQ = 65

This means that:

∠PSQ = ∠PSB = 65

So, we have:

∠PSB = 65

Next, calculate SBP using:

∠SBP + ∠BPS + ∠PSB = 180 ---- sum of angles in a triangle.

So, we have:

∠SBP + 35 + 65 = 180

∠SBP + 100 = 180

This gives

∠SBP = 80

The measure of AQS is then calculated using:

AQS = AQB = 180 - (180 - SBP) - (180 - PAQ)

This gives

AQS = 180 - (180 - 80) - (180 - 130)

Evaluate

AQS = 30

Hence, the measure of AQS is 30 degrees

<h3>The measure of arc PS</h3>

A semicircle measures 180 degrees.

This means that:

PS + RS = 180

This gives

PS = 180 - RS

Where RS = 70

So, we have:

PS = 180 - 70

Evaluate

PS = 110

Hence, the measure of arc PS is 110 degrees

Read more about circles and arcs at:

brainly.com/question/15096899

#SPJ1

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2 years ago
Explain why the absolute value of a number is never negative
Nataly_w [17]
Think of it as the amount of spaces you move on a number graph. so for example from -3 to -7 is 4 spaces. i hope you find this helpful! 
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