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Komok [63]
3 years ago
6

A florist was looking at her flower order. The ratio of roses to sunflowers was 4 to 9. When she was done, she realized there we

re 65 MORE sunflowers than roses. How many of each flower was there?
Mathematics
1 answer:
IRINA_888 [86]3 years ago
4 0

Answer:

52 roses and 117 sunflowers

Step-by-step explanation:

Since the ratio of roses to sunflowers is 4:9, we can represent how many there are of each as 4x and 9x, respectively. We know that there are 65 more sunflowers than roses, so we can set up the following equation to solve for x:

4x+65=9x

Solving for x, we get:

4x+65=9x

4x+65-4x=9x-4x (Subtract 4x from both sides of the equation to isolate x)

65=5x (Simplify)

5x=65 (Symmetric Property of Equality)

\frac{5x}{5}=\frac{65}{5} (Divide both sides of the equation by 5 to get rid of x's coefficient)

x=13 (Simplify)

Therefore, since x=13, we know that there are 4x=4*13=52 roses and 9x=9*13=117 sunflowers. Hope this helps!

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The number of adult Americans from a random sample of n adults who support a bill proposing to extend daylight savings time is a
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Answer:

Right of X = 635.5

Step-by-step explanation:

By using the normal approximation to the Binomial random variable, we usually make use of continuity correction.

According to the rule of continuity;

P(X ≤ k) becomes  P( X ≤ K + 0.5)

P(X < K) becomes P(X < K - 0.5)

P(X ≥ K) becomes P(X ≥ K - 0.5)

P(X > K) becomes P(X > K + 0.5)

P(X = K) becomes P(K - 0.5 ≤ X ≤ K + 0.5)

From the given question, Assume that we are to determine the probability that more than 635 Americans support the bill.

Then we use the > sign.

∴

P(X > K ) becomes P(X > K + 0.5)

P(X > 635) becomes P(X > 635 + 0.5)

⇒ P(X > 635.5) tot the right.

Right of X = 635.5

5 0
3 years ago
Link is coloring a triforce, which consists of four equilateral triangles and is depicted below. He has three colors to use: gol
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Answer:

12

Step-by-step explanation:

For the top triangle, he has 3 options

3C1 = 3

For the middle one, he can't use the top triangle's colour, so 2 options

2C1 = 2

For the ones on sides of the middle one, 2 options each

2C1 × 2C1 = 4

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These include all three outer ones same, so subtract 3

Also, these include 2 of the three outer ones same, so subtract:

3C2 × 3 = 9

24 - 3 - 9 = 12

5 0
3 years ago
Read 2 more answers
Which expressions is equivalent to 2r+(t+r)
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Answer:

t+3r

Step-by-step explanation:

This is a one step solution

All you do is add like terms

In this case the only like terms are the varibles r

2r+(t+r)

so if you add all of the rs together there would be 3rs

So the rest of the problem would continue as normal while bringing the 3r to the end

t+3r

8 0
3 years ago
What the equivalent expression. 5 (3m +2p) - 4m​
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Hi the answer is 11m+10p
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3 years ago
Given that a 90% confidence interval for the mean height of all adult males in Idaho measured in inches was [62.532, 76.478]. Wh
NNADVOKAT [17]

Answer:

The point estimate used to estimate the mean height of all adult males in Idaho is 69.505 inches.

Step-by-step explanation:

Each confidence interval has two bounds, the lower bound and the upper bound. The points estimate used to estimate the mean is the halfway point between those two bounds, that is, the sum of those two bounds divided by two.

In this problem, we have that:

Lower bound: 62.532

Upper bound: 76.478

Point estimate: (62.532 + 76.478)/2 = 69.505

The point estimate used to estimate the mean height of all adult males in Idaho is 69.505 inches.

3 0
3 years ago
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