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shutvik [7]
3 years ago
14

gale's grade in science for the term is determined by the average of five test grades. his first four grades are 80, 95, 78, and

90. in order to get a b for the term, gale needs to have an average of 84. what grade must gale get on the next test to get a b for the term? write an inequality and solve.
Mathematics
1 answer:
lara [203]3 years ago
5 0

Answer:

He needs at least 77 on the 5th test.

<em>T₅ ≥ 77</em>

Step-by-step explanation:

If five numbers are to average 84, then their sum must be (5 x 84) = 420 .

Gale needs his five grades to add up to 420.

So far, he has (80 + 95 + 78 + 90) =  343 .

He needs at least (420 - 343) = <em>77 more</em> points on the 5th test.

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Jose has a policy with $50,000 PIP (Personal Injury Protection) coverage. He causes an
Nastasia [14]

Answer: $7200

Step-by-step explanation:

Given

The policy covers the damage of $50,000 PIP

He injured 10 people including himself

The total cost of injuries is $72,000

The cost per person is $7200

The company only pays for the damaged bear by the policyholder, not by the others.

\therefore the company only pays $7200 in coverage.

8 0
3 years ago
What is 874 base 9 multiplied by 676 base 9?​
Gekata [30.6K]

Consider the digit expansion of one of the numbers, say,

676₉ = 600₉ + 70₉ + 6₉

then distribute 874₉ over this sum.

874₉ • 6₉ = (8•6)(7•6)(4•6)₉ = (48)(42)(24)₉

• 48 = 45 + 3 = 5•9¹ + 3•9⁰ = 53₉

• 42 = 36 + 6 = 4•9¹ + 6•9⁰ = 46₉

• 24 = 18 + 6 = 2•9¹ + 6•9⁰ = 26₉

874₉ • 6₉ = 5(3 + 4)(6 + 2)6₉ = 5786₉

874₉ • 70₉ = (8•7)(7•7)(4•7)0₉ = (56)(49)(28)0₉

• 56 = 54 + 2 = 6•9¹ + 2•9⁰ = 62₉

• 49 = 45 + 4 = 5•9¹ + 4•9⁰ = 54₉

• 28 = 27 + 1 = 3•9¹ + 1•9⁰ = 31₉

874₉ • 70₉ = 6(2 + 5)(4 + 3)10₉ = 67710₉

874₉ • 600₉ = (874•6)00₉ = 578600₉

Then

874₉ • 676₉ = 578600₉ + 67710₉ + 5786₉

= 5(7 + 6)(8 + 7 + 5)(6 + 7 + 7)(0 + 1 + 8)(0 + 0 + 6)₉

= 5(13)(20)(20)(1•9)6₉

= 5(13)(20)(20 + 1)06₉

= 5(13)(20)(2•9 + 3)06₉

= 5(13)(20 + 2)306₉

= 5(13)(2•9 + 4)306₉

= 5(13 + 2)4306₉

= 5(1•9 + 6)4306₉

= (5 + 1)64306₉

= 664306₉

4 0
3 years ago
2.75 + negative 1.5
MAVERICK [17]

Answer:

1.25

Step-by-step explanation:

type in your calculator:

-1.5+2.75 OR 2.75-1.5

you should get the same answer

6 0
3 years ago
Read 2 more answers
Bryce measured the circumference of a tree trunk. Its circumference was 91 ft. What was the approximate diameter, rounded to the
iren2701 [21]

Answer: 29 feet.

Step-by-step explanation: The formula for the circumference of a circle is C = π d. In order to calculate the diameter of the tree we will use the same formula and solve for d.

91 = 3.14 x d

In order to solve for d you need to divide both sides for 3.14:

D = 28.98, rounded to the nearest foot is 29 feet.

5 0
3 years ago
What percentage of households in the survey have four or more televisions?
Ratling [72]

Answer:

2.5% ?

Step-by-step explanation:

.025 as percentage is 2.5%

5 0
3 years ago
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