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AysviL [449]
2 years ago
3

in samantha's garden, the ratio of sunflowers to marigolds is 4:5. If Samantha has 45 flowers total in her garden, how many sunf

lowers does she have?
Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
4 0

Answer:

20\ sunflowers

Step-by-step explanation:

Let

x----> the number of sunflowers

y----> the number of marigolds

we know that

\frac{x}{y}=\frac{4}{5}

y=\frac{5}{4}x ----> equation A

x+y=45 ----> equation B

substitute equation A in equation B and solve for x

x+\frac{5}{4}x=45

\frac{9}{4}x=45

x=45*4/9=20\ sunflowers

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Mike and Jasmine have a combined age of 30. Mike is 3 years younger than twice Jasmines age. How old is Mike?
Kamila [148]
Mike is 19.

If you turn the question into an equation it turns to:
J x 2 - 3 = M

So since you don’t know Jasmine’s age you would use guess and check. 8,9, and 10 didn’t work but when you put in 11:
11 x 2 - 3 = M
22 - 3 = M
19 = M

And to check your work
J + M has to equal 30 so,
11 + 19 = 30
30 = 30
6 0
2 years ago
Rui is a professional deep water free diver.
Vladimir [108]
The correct question is 
<span>Rui is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by: d(x)=1/2x^2 -10x What is the lowest altitude Rui will reach?

we have that
</span>d(x)=(1/2)x² -10x

we know that
the function is quadratic (a parabola) 
so
<span>the lowest altitude (depth) is the vertex
</span>
using a graph tool
see the attached figure

the vertex is the point  (10,-50)
that means
His altitude (in meters relative to sea level), 10 seconds after diving is 50 meters under the sea level

therefore
the answer is
<span>the lowest altitude is 50 meters under the sea level</span>

5 0
2 years ago
Read 2 more answers
Caroline, Colin &amp; Sarah share some money.
julia-pushkina [17]

Answer:

2/9

Step-by-step explanation:

After Caroline's share,

1 - 1/9 = 8/9 is left

Sarah gets:

1/(1+3) of 8/9

1/4 × 8/9

2/9

4 0
2 years ago
The graph shows the amount of water that remains in a barrel after it begins to leak. The variable x represents the number of da
zhannawk [14.2K]

Answer:

-2

Step-by-step explanation:

i ddid it on edge

5 0
2 years ago
Read 2 more answers
A typical running track is an oval with 74-m-diameter half circles at each end. a runner going once around the track covers a di
denpristay [2]

Answer:

Her centripetal acceleration during the turn at each end of the track is 0.432\, \frac{m}{s^{2}}

Step-by-step explanation:

Total distance covered in one round , D= 400 m

Time taken to cover one round , T = 1 min 40 s = 100 sec

Speed of runner , V=\frac{D}{T}=\frac{400}{100}\, \frac{m}{s}= 4.0\, \frac{m}{s}

Now centripetal acceleration is given by

a_c=\frac{V^{2}}{R}

where V= 4.0\frac{m}{s}

Radius, R= \frac{Diameter}{2}=\frac{74}{2}m=37\, m

\therefore a_c=\frac{4^{2}}{37}\, \frac{m}{s^{2}}=0.432\, \frac{m}{s^{2}}

Thus her centripetal acceleration during the turn at each end of the track is 0.432\, \frac{m}{s^{2}}

4 0
2 years ago
Read 2 more answers
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