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cupoosta [38]
2 years ago
10

Sheza and Hadia had 12579 paper stars. Sheza gave 2214 paper stars to Hadia. Now Hadia had twice as many paper stars as Sheza. H

ow many paper stars did Hadia had at first?
Mathematics
1 answer:
makvit [3.9K]2 years ago
7 0

Answer:

10365

Step-by-step explanation:

12579 - 2214

= 10365

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A wildlife service wanted to estimate the number of alligators in a river so they tagged 90 alligators and released them back in
lilavasa [31]
You can solve this with a proportion. If you know that 23 tagged alligators were in a 200 alligator sample, there are 90 tagged alligators in the entire river. Written otherwise:

23/200 = 90/x    

and solve for x:

x = 782.608...

So the "best estimate" would be around 783 alligators. Hope that helps! If you liked this answer please rate it as brainliest!! thank you!!!
5 0
3 years ago
If(√14/√7-2)-(√14/√7+2)=a√7+b√2 find the values of a and b where a and b are rational numbers​
seraphim [82]

Answer:

  • a = 4/3 and b = 0

============================

<h2>Given expression:</h2>

\dfrac{\sqrt{14} }{\sqrt{7}-2} -\dfrac{\sqrt{14} }{\sqrt{7}+2}

<h2>Simplify it in steps:</h2>

<h3>Step 1</h3>

Bring both fractions into common denominator:

\dfrac{\sqrt{14} (\sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} - \dfrac{\sqrt{14} (\sqrt{7}-2)}{(\sqrt{7}-2)(\sqrt{7}+2)}

<h3>Step 2</h3>

Simplify:

\dfrac{\sqrt{14} ((\sqrt{7}+2) - (\sqrt{7}-2))}{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{\sqrt{14} (\sqrt{7}+2 - \sqrt{7}+2)}{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{4\sqrt{14} }{(\sqrt{7}-2)(\sqrt{7}+2)} =

\dfrac{4\sqrt{14} }{(\sqrt{7})^2-2^2} =

\dfrac{4\sqrt{14} }{7-4} =

\dfrac{4}{3}  \sqrt{14} }

<h3>Step 3</h3>

Compare the result with given expression to get:

  • a = 4/3 and b = 0

4 0
2 years ago
If f(a) = K, then which of the following must be true? f(K) = a f -1(K) = a f -1(a) = K
Inessa05 [86]

Answer:


Step-by-step explanation:

given that f(a) = K

we have the options of

f(K) = a

f ⁻¹ (K) = a

f ⁻¹ (a) = K

Where f ⁻¹ denotes an inverse function.

If f(a) = K, then its reciprocate, f ⁻¹ (K) = a

because it is essentially undoing the original equation

6 0
3 years ago
Find each measure m&lt;1, m&lt;2,m&lt;3
Leno4ka [110]

Answer:

option 2.

m1 = 75    ,   m2 = 129   ,   m3 = 100

Step-by-step explanation:

with the rule that the internal angles of a triangle add up to 180 ° we can calculate the missing angles

x + 46 + 29 = 180

x = 180 - 46 -29

x = 105

a flat angle has 180 °

m1 + 105 = 180

m1 = 180 - 105

m1 = 75

46 + 54 + y = 180

y = 180 - 46 -54

y = 80

80 = z + 29

z = 80 - 29

z = 51

as they are two crossed lines the angle is reflected from the opposite side

with that principle and knowing that the angle of a turn is 360 °, if we subtract the 2 known angles and divide it by 2 we will obtain the missing angle (m2)

m2 * 2 = 360 - 51 * 2

m2 = 258/2

m2 = 129

m2 = 29 + m3

129 = 29 + m3

m3 = 129 - 29

m3 = 100

4 0
3 years ago
The Student Council is making 6 pennants to promote school spirit. Each pennant is in the shape of a right triangle 20 cm high a
hodyreva [135]
7200
You have to multiply 20×60 to get 1200 which is the area of one pennant multiply that by six and you get 7200 which is the area of six pennant
3 0
3 years ago
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