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inessss [21]
3 years ago
6

Jacks average in math for the first nine weeks was an 88 . His second nine weeks average decreased 12.5% what was his average fo

r the second nine weeks
Mathematics
2 answers:
ikadub [295]3 years ago
7 0

10% of 88 = 8.8

2.5% of 88 = 2.2

2.2 + 8.8 = 11

88 - 11 = 77

Anarel [89]3 years ago
6 0

Answer:

75.5%

Step-by-step explanation:

88-12.5=75.5

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What is the missing value of n that will make the equation true? 3^8 . 3^n= 3^14
marissa [1.9K]

Answer:

n = 6

Step-by-step explanation:

{3}^{8} . {3}^{n}  =  {3}^{14}  \\  {3}^{8 + n}  =  {3}^{14}   \\ 8 + n = 14 \\ n = 14 - 8 \\ n = 6

7 0
3 years ago
Which of the following expressions can be factored by grouping? (Select all that apply.)
Greeley [361]

Answer:

Options (3), (4) and (5)

Step-by-step explanation:

1). a² - 9a + 7ab + 63b

  = a(a - 9) + 7b(a + 9)

  Now we can not solve this problem further.

  Therefore, can't be factored by grouping.

2). 3a + 4ab - b - 12

   = a(3 + 4b) - 1(b - 12)

   We can't solve it further.

   Therefore, can't be factored by grouping.

3). ab + 6b - 2a - 12

   = b(a + 6) - 2(a + 6)

   = (b - 2)(a + 6)

  We can be factored this expression by grouping.

4). x³ + 9x²+ 7x + 63

   = x²(x + 9) + 7(x + 9)

   = (x² + 7)(x + 9)

   Therefore, the given expression can be factored by grouping.

5). ay² + a - y² - 1

  = a(y² + 1) - 1(y² + 1)

  = (a - 1)(y² + 1)

  This expression can be factored by the grouping method.

Options (3), (4) and (5) are the correct answers.

3 0
3 years ago
What is the total area of this composite figure rounded to the nearest hundredth?
weqwewe [10]

Answer:

choice #4, total=31.14 mm^2

Step-by-step explanation:

14x2=28 is area of rectangle

1^2xPi=area of small circle

3.14=area of small circle

total=31.14 mm^2

7 0
3 years ago
Determine the value of x to the nearest thousandth in the equation 8(2)^x+3=48
solong [7]

You probably mean either

8\cdot2^x + 3 = 48

or

8\cdot2^{x+3} = 48

Write 8 = 2³, so that in the first interpretation,

8\cdot2^x = 2^3 \cdot 2^x = 2^{x + 3}

and in the second,

8\cdot2^{x+3} = 2^3 \cdot 2^{x+3} = 2^{x + 6}

Then in the first interpretation, we have

2^{x + 3} + 3 = 48 \implies 2^{x + 3} = 45 \implies x + 3 = \log_2(45) \implies x = \log_2(45) - 3 \approx \boxed{2.492}

Otherwise, the second interpretation gives

2^{x + 6} = 48 \implies x + 6 = \log_2(48) \implies x = \log_2(48) - 6 \approx -0.415

8 0
3 years ago
Solve the equation by using quadratic formula . Show your work! Answer maybe in radical or decimal form .
Lorico [155]

Answer:

x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871

Step-by-step explanation:

2x^2+4x-5=0

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

x=\frac{-4\pm\sqrt{4^2-4(2)(-5)}}{2(2)}

x=\frac{-4\pm\sqrt{16+40}}{4}

x=\frac{-4\pm\sqrt{56}}{4}

x=\frac{-4\pm2\sqrt{14}}{4}

x=\frac{-2\pm\sqrt{14}}{2}

x_1=\frac{-2+\sqrt{14}}{2}\approx 0.871,x_2=\frac{-2-\sqrt{14}}{2}\approx-2.871

5 0
3 years ago
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