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AysviL [449]
3 years ago
15

Increase each of the following amounts by the percentage given.

Mathematics
1 answer:
umka21 [38]3 years ago
6 0

Step-by-step explanation:

(a)90 by 10%

90+10% of 90=90(1+0.1)=99

(b)60 by 25%

60(1+0.25)=75

(c)80 by 75%

80(1+0.75)=140

(e)110 by 60%

110(1+0.6)=176

(f)480 by 115%

480(1+1.15)=1032

(g)140 by 45%

140(1+0.45)=203

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Find the simultaneous equation x-2y=1,y^2-3xy+8=0​
Hitman42 [59]

Answer:

  (-2.2, -1.6), (3, 1)

Step-by-step explanation:

You don't have to go far to find the equations. They are right there in your problem statement. Perhaps you want to find the solutions to the equations.

Use the first equation to write an expression for x, then substitute that into the second equation:

  x = 2y +1

  y^2 -3(2y+1)(y) +8 = 0

  -5y^2 -3y +8 = 0

  -(5y +8)(y -1) = 0

  y = -8/5   or   y = 1

The corresponding values of x are ...

  x = 2(-8/5)+1 = -11/5

  x = 2(1) +1 = 3

The solutions are (x, y) = (-2.2, -1.6) and (3, 1).

5 0
3 years ago
Solve the right triangle. Round to the nearest degree and nearest tenth of a unit. What is the right angleV?
N76 [4]

Answer:

  m∠V ≈ 61°

Step-by-step explanation:

The hypotenuse and the side opposite the angle of interest are given. The relevant trig relation is ...

  Sin = Opposite/Hypotenuse

  sin(V) = XW/XV = 7/8

The inverse sine function is used to find the angle:

  V = arcsin(7/8) ≈ 61°

4 0
2 years ago
What is the place value of the 5 in the number 1.458?
mixas84 [53]

Answer:

Step-by-step explanation:

1.458

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6 0
3 years ago
Verify the Identity
valina [46]

Answer:

Cos x sec^2 x

Cos x (1 + cot x)

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Step-by-step explanation:

5 0
3 years ago
Choose the correct simplification of the expression (2ab5)3. (1 point) Question 8 options: 1) 8ab15 2) 8a3b8 3) 5a3b15 4) 8a3b15
d1i1m1o1n [39]

Answer:

4). 8a^{3}b^{15}

Step-by-step explanation:

The Given expression is that,

(2ab^{5})^{3}

On simplifying,

(2ab^{5})^{3} = (2ab^{5} )(2ab^{5}) (2ab^{5})

= (2^{3} ) * (ab^{5})^{3}

= (2×2×2) × (ab^{5} × ab^{5} × ab^{5})

= 8a^{3}b^{15}

Thus, <u>option 4</u> i.e.  8a^{3}b^{15} is the correct simplification of the given expression.

4 0
3 years ago
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