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Natali [406]
3 years ago
9

A shirt and a tie together cost $48 the shirt costs $22 more than the tie what is the cost of the shirt

Mathematics
2 answers:
Ipatiy [6.2K]3 years ago
4 0
Look at the picture attached. All steps are explained in the picture. Hope this helps :)

blondinia [14]3 years ago
3 0

Answer:

35$

Step-by-step explanation:

Let the shirt be = X

And the tie =Y

X + Y= 48$

X = 22 + Y (The shirt costs $22 more than the tie)

22 + 2y = 48

2y = 26

y = 13

X= 48 – 13

X = 35

therefore, the cost of the shirt is $35

and the cost of the tie is $13

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How might snakes running out of food affect other organisms such as hawks? please help
marissa [1.9K]

Answer:

The population of Hawks and other species would likely start to edge off.

Step-by-step explanation:

Commonly, a Food Chain is dependent on all the parts of it sataying at a perfect point. If the food that the Snakes eat starts to run out, more of them will die off. With less Snakes, the Hawks will then have less food, and that continues throughout the chain. The same thing would happen if there was too much food, except instead of the populations of species dying off, the Snake population would spike.

3 0
2 years ago
9. An express delivery service advertises next-day delivery of any parcel it receives before 3PM. The actual success rate is 90%
Juli2301 [7.4K]

Answer:

a) P(X =16 ) = 0.1853

b) P(X \leq 12) = 0.0684

Step-by-step explanation:

GIVEN DATA:

n = 16

p = 0.90

from relation given probabllity can be solve

P(X) = ^nC_x * p^x * ( 1 - p)^{n-x}

a)

P(X =16 ) = ^{16}C_{16} * 0.90^x * ( 1 - 0.90)^{16-16}

P(X =16 ) = 0.1853

b) P(X \leq 12) = 1 - P(X \geq 13)

= 1 - [ P(X = 13) +P(X = 14) +P(X = 15) +P(X = 16) ]

= 1 - [ ^{16}C_{13} * 0.90^{13} * (1 - 0.90)^3 +^{16}C_{14} * 0.90^{14} * (1 - 0.90)^2 +^{16}C_{15} * 0.90^{15} * (1 - 0.90)^1 +^{16}C_{16} * 0.90^{16} * (1 - 0.90)^0 ]

= 0.0684

4 0
3 years ago
The sum of 3 consecutive integers is 78. What is the integer closest to zero?
vova2212 [387]

Answer:

25

Step-by-step explanation:

Let n be the first integer.

Then the second integer will be (n + 1).

And the third will be (n + 2).

The sum is 78. Therefore:

n+(n+1)+(n+2)+78

Solve for n. Combine like terms:

3n+3=78

So:

3n=75

Therefore:

n=25

Therefore, the first integer is 25.

So our sequene is 25, 26, and 27.

The integer closest to zero will thus be 25.

5 0
3 years ago
Read 2 more answers
4) The area of a piece of pie in the shape of a sector is 7.1 in. The angle of the sector is 40°. Find the diameter of
elixir [45]

Answer:

Step-by-step explanation:

Area of sector = angle/360 * pi * r^2

7.1 = 40/360 * 22/7 * r^2

7.1 = 1/9 * 22/7 * r^2

63.9 = 22r^2/7

r^2 = (7 * 63.9)/22

r^2 = 20.331818181818

r = square root of 20.331818181818

r = 4.51

d = r * 2 = 4.51 * 2 = 9.02

4 0
3 years ago
The perimeter of the scalene triangle is 54.6 cm. Which equation can be used to find the value of b if side a measures 8.7 cm?
77julia77 [94]

A scalene triangle is a triangle that has 3 sides that are all different lengths.

Let these letters represent the problem:

a = 8.7

b = side 2

c = side 3

P = 54.6

To find the perimeter, we just need to add all the sides [ P = a + b + c ]

So, put what we have in the formula above.

54.6 = 8.7 + b + c

Best of Luck!

7 0
3 years ago
Read 2 more answers
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