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Paladinen [302]
3 years ago
5

Sam scored 43, 48, and 42 points on three tests. How many points should he get on the fourth test to get an average score of 50?

(1 point) 83 points 67 points 45.75 points 44.33 points

Mathematics
2 answers:
fomenos3 years ago
8 0

Answer:

Hi!! The answer is 44.33 I just took the test it`s 100% verified!

tatiyna3 years ago
6 0

So we know that an average is the sum of the scores divided by the number of scores that were added together. In this case we are going to be dealing with 4 tests. So let's say x is the score for our fourth test. We can create this equation:

\frac{x+43+48+42}{4}=50

So then we need to simplify the top:

\frac{x+133}{4}=50

Then multiply by 4 on both sides to get rid of the denominator:

x+133=200

Then solve for x:

x=67

So now we know that Sam needs to score a 67 on the fourth test to have an average score of 50.

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The 6th term of an Arithmetic Progression is 17 and the 13th term is 38. Determine the 19th term ​
Sonja [21]

Answer:

56

Step-by-step explanation:

The n th term of an AP is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₆ = 17 and a₁₃ = 38, then

a₁ + 5d = 17 → (1)

a₁ + 12d = 38 → (2)

Subtract (1) from (2) term by term to eliminate a₁

7d = 21 ( divide both sides by 7 )

d = 3

Substitute d = 3 into (1) and evaluate for a₁

a₁ + 5(3) = 17

a₁ + 15 = 17 ( subtract 15 from both sides )

a₁ = 2

Thus

a_{19} = 2 + (18 × 3) = 2 + 54 = 56

4 0
4 years ago
Robin donated bags of grain that each weighed 403 pounds to the local food shelf. If the total weight of the grain was 160 pound
Alexxx [7]
Well.. 160 x 3 = 480. So he would've had to give only 2 bags. But he would've given a fraction of a bag, but if you're only talking whole numbers, then the answer is 2. If you're talking fractions, then the answer is 2.51875.
7 0
3 years ago
Read 2 more answers
The bed of a truck is stacked with with boxes of paper. The boxes are stacked 5 boxes deep by 4 boxes high by 4 boxes across
marysya [2.9K]

Answer:

3

Step-by-step explanation:

The boxes are stacked 5 boxes deep by 4 boxes high by 4 boxes across, then there are 5\cdot 4\cdot 4=80 boxes in total.

The mass of 1 box of paper is 22.5 kilograms, so 80 boxes weigh 22.5\cdot 80=1800 kilograms.

When the driver is in the truck, the mass is 2948.35 kilograms, then the total mass is

2948.35+1800=4748.35\ kg.

Let n be the number of boxes of paper the driver must deliver at the first stop. Their weigth is 22.5n kg and the weight of the truck without n boxes is

4748.35-22.5n\ kg.

Trucks with a mass greater than 4700 kilograms are not allowed over the bridge, thus

4748.35-22.5n48.35,\\ \\n>\dfrac{967}{450}=2\dfrac{67}{450}.

Hence, the driver must deliver at least 3 boxes at the first shop.

8 0
3 years ago
Calculate the force output by the larger piston of a hydraulic lift when a force of 800 N is exerted on the smaller piston. The
Alchen [17]

answer:

<h2>F2= 5kN</h2>

step by step explanation

<em>Note the second diameter was used as 50cm and not 500cm</em>

given

F1=800N

D1=20cm

A1=πD1^2/4

=3.142*20^2/4

=314.2cm^2

D2= 50cm

A2=πD2^2/4

=3.142*50^2/4

=1963.75cm^2

The pressure applied on the smaller relative to the bigger end is expressed as

F1/A1=F2/A2

substitute we have

800/314.2=F2/1963.75

cross multiply we have

F2=800*1963.75/314.2

F2=1571000/314.2

F2=5000N

F2=5kN

The larger Force is 5kN

5 0
3 years ago
The sum of the digits of a two − digit number is 11. The unit's digit is 7 less than the ten's digit. Find the number.
padilas [110]

Answer:

Number = 92

Step-by-step explanation:

Let the unit digit is x and that of tens digit is y.

ATQ,

x+y = 11 ....(1)

The unit's digit is 7 less than the ten's digit

x = y-7 ...(2)

Put the value of x from equation (2) in (1)

y-7+y = 11

2x-7 = 11

2x = 11+7

2x = 18

x = 9

Put the value of x in equation (1)

9+y = 11

y = 2

Hence, the number is 92.

3 0
3 years ago
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