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avanturin [10]
3 years ago
10

A student has taken three math tests so far this semester. His scores for the first three tests were 71, 75, and 79. Part A: Sup

pose his test scores continue to improve at the same rate. What will be the grade on the sixth and (final) test?
Mathematics
1 answer:
valina [46]3 years ago
5 0

Answer:

The grade of this sixth and (final) test <u>would be 91</u>.

Step-by-step explanation:

This is an arithmetic series since each time the data is increasing by the common difference of 4, and we already know a₁ which is the first term in the sequence is 71, therefore we can say:

a₁ = 71

r = 4

a₆ = the sixth term that needs to be found out

n = 6

Formula of an arithemetic series:

aₙ = a₁ + r(n - 1)

a₆ = 71 + 4(6 - 1)

a₆ = 71 + 4(5)

a₆ = 71 + 20

a₆ = 91

Hence, the grade of this sixth and (final) test would be 91.

Hope this helps!

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Find the value of x+10=11
drek231 [11]

Answer:

x=1

Step-by-step explanation:

×+10=11

-10 -10

x = 1

8 0
3 years ago
Which statement is true about the value of (6)? A.(6) greater-than 6
Anvisha [2.4K]

Answer:

D. (6) is the distance between 6 and 0, and the distance is negative from 6 to 0

Step-by-step explanation:

(6) means the number exists in the negative state. It is -6.

Option A - As it is -6, it cannot be greater than positive 6. So, it is incorrect.

Option B - As it is -6, it cannot be less than negative 6. So, it is wrong.

Option C - As it is -6, its distance cannot be 0 to 6, and it should not be positive.

Option D - As it is -6, its distance should be negative and the distance is from 6 to 0. Therefore, it is the correct answer.

7 0
3 years ago
Omar needs at least $8 to buy lunch. Which number line represents this scenario?
Shtirlitz [24]

Answer:

I'd say none, as we're missing something in this problem. Make sure you've included everything to solve this problem. Thanks.

7 0
2 years ago
What are the rules to solving equations by multiplying or dividing?
Andreas93 [3]

Answer:

In order to move a number that is multiplied or divided by the variable, make sure to inverse both sides! That means, if the number is multiplied, you divide it by both sides. If it's divided, you must multiply it by both side; steps so that you can apply them to harder equations.

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5 0
3 years ago
Portia bought 12 bushes and 30 flowers for $240 to plant in her yard. Later, she realized she did not have enough plants and bou
Anni [7]

Answer: the cost of each bush is $15

the cost of each flower is $2

Step-by-step explanation:

Let x represent the cost of each bush.

Let y represent the cost of each flower.

Portia bought 12 bushes and 30 flowers for $240 to plant in her yard. This is expressed as

12x + 30y = 240- - - - - - - - - - -1

Later, she realized she did not have enough plants and bought 7 more bushes and 10 more flowers for $125. This is expressed as

7x + 10y = 125- - - - - - - - - - -2

Multiplying equation 1 by 7 and equation 2 by 12, it becomes

84x + 210y = 1680

84x + 120y = 1500

Subtracting, it becomes

90y = 180

y = 180/90

y = 2

Substituting y = 2 into equation 1, it becomes

12x + 30 × 2 = 240

12x + 60 = 240

12x = 240 - 60 = 180

x = 180/12

x = 15

8 0
3 years ago
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