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zhannawk [14.2K]
2 years ago
8

Tammy scored 88, 72, 44 points on her first three test. What must she score in her last test to get at least an average of 70?

Mathematics
1 answer:
lara [203]2 years ago
5 0

Answer:

76

Step-by-step explanation:

(88+72+44+x)/4=70

88+72+44+x=280

204+x=280

x=76

Therefore, Tammy needs to score a 76 on her last test to get at least an average of 70.

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zheka24 [161]
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Cross multiply: 1*?= 14*5
⇒ ?= 14*5/1= 70

1/5 of 70 is 14.
6 0
3 years ago
Write an equation in slope-intercept form for the line that satisfies each set of conditions.
finlep [7]

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Explanation: The equation is in slope-intercept form, y=mx+b. Since it is parallel to the equation, it has the same slope (2/3x) and since b is the x intercept, b is 9.

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The value of a house is $165,000 and it loses 4% of its value every year.
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3 years ago
A biology test is worth 100 points and has 36 questions.
Ad libitum [116K]

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

M + E= 36 --- Number of questions

2M + 6E = 100 --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in M + E= 36

E = 36 - M

Substitute 36 - M for E in 2M + 6E = 100

2M + 6(36 - M) = 100

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Collect Like Terms

2M - 6M = 100 - 216

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Divide both sides by -4

M = \frac{-116}{-4}

M = 29

Substitute 29 for M in E = 36 - M

E = 36 - 29

E = 7

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

2M + 6E = 100 would be:

4M + xE = 100

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

4 * 29 + x * 7 = 100

116 + 7x = 100

Subtract 116 from both sides

116-116 + 7x = 100 -116

7x = 100-116

7x = -16

Make x the subject

x = -\frac{16}{7}

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

<em>Your friend is incorrect.</em>

6 0
2 years ago
How do you find the sum of a geometric series?!!!
Ksivusya [100]

Answer:

To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r , where a1 is the first term and r is the common ratio.

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