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worty [1.4K]
3 years ago
9

I can not find the answer to any of these. Could you please help me explain and find the answer

Mathematics
1 answer:
yanalaym [24]3 years ago
8 0
1.) *13 hours of tandem bicycles were rented.*
The equation to use would be 12s+17t=519, where s is hours of standard bicycles rented and t is hours of tandem bicycles rented. It says that 22 hours of standard were rented so plug in 22 for s, giving you (12×22)+17t=519. And solve the equation from there.

2.) *C. 65g+55s=6500*
It says to use "g" for general admission tickets and that each costs $65. And use "s" for student admission tickets, with each costing $55. So just put the correct matching cost and variable that it stands for together.

3.) *A. distributive property*
So you start with the distributive property where you have to distribute -2(2x-5). So it should be:
Step 1: x - 2(2x) - 2(-5) = 8
Step 2: x - 4x + 10 = 8
Step 3: -3x + 10 = 8
Step 4: -3x + 10 - 10 = 8 - 10
Step 5: -3x = -2
Step 6: -3x ÷ (-3) = -18 ÷ (-3)
Step 7: x = 6
The problem started with step 1 with distributive property when they forgot to multiply the -2 to the -5, but instead they multiplied +2 which was wrong.
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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

2M + 216 - 6M = 100

Collect Like Terms

2M - 6M = 100 - 216

-4M = - 116

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>

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