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2 years ago

An ice cream shop sells five sundaes for every six cones. Yesterday the shop sold 60 sundaes. How many cones were sold?

Mathematics

2 answers:

Schach [20]2 years ago

8 0

Answer:

Step-by-step explanation:

To get each sundae come from sold, you divide sold by for every x cones, then multiply by how many sundaes

Alja [10]2 years ago

4 0

Answer:

Step-by-step explanation:

60÷5=12

6×12=72 cones

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2 years ago

The Super Bounce brand of bouncy balls rebounds to 85% of the height from which it was dropped. Write both the explicit and recu

jarptica [38.1K]

Answer:

Explicit formula is $h(n)=4(0.85)^{n-1}$ .

Recursive formula is $h_n=0.85h_{n-1}$

Step-by-step explanation:

Step 1

In this step we first find the explicit formula for the height of the ball.To find the explicit formula we use the fact that the bounces form a geometric sequence. A geometric sequence has the general formula , $a_{n+1}=ar^{n-1}.$ In this case the first term $a_o=4$ , the common ratio $r=0.85$ since the ball bounces back to 0.85 of it's previous height.

We can write the explicit formula as,

$h(n)=4(0.85)^{n-1}.$

Step 2

In this step we find the recursive formula for the height of the ball after each bounce. Since the ball bounces to 0.85 percent of it's previous height, we know that to get the next term in the sequence, we have to multiply the previous term by the common ratio. The general fomula for a geometric sequene is $a_n=a_{n-1}\times r.$

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2 years ago

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What is the area of triangle rst? 6 square units 9 square units 12 square units 18 square units

Butoxors [25]

The area of the considered triangle RST is given by: Option A: 9 sq. units.

<h3>How to find the area of a triangle?</h3>

If we have:

Length of its base = b units
Its height = h units long,

Then we get:

Area of a triangle = $\dfrac{b \times h}{2} \: \rm unit^2$

The missing image is attached below.

If we take the base of the triangle as RS, then as the line UT is perpendicular to RS (as RS is parallel to x axis and UT is parallel to y axis) and touching from the base line RS to T, thus, it can be taken as height.

Thus, we have:

Area of RST = half of length of RS (base) times length of UT (height)

As visible from image, we have:

Length of RS = 6 blocks of unit length = 6 units

Similarly, length of UT = 3 units

Thus, we get:

Area of RST = $\dfrac{6 \times 3}{2} = 9 \: \rm unit^2$

Thus, the area of the considered triangle RST is given by: Option A: 9 sq. units.

Learn more about area of a triangle here:

brainly.com/question/14503701

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1 year ago