5x + 2y =12
- 6x - 2y = - 14

Answers

Answer 1
Answer: 5x + 2y = 12
-6x - 2y = -14

Add them
-x = -2
x = 2

5x + 2y = 12
(5*2) + 2y = 12
10 + 2y = 12
2y = 2
y = 1

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If a jigsaw puzzle is priced 17.00 but cost 17.68 at the register what is sales tax rate​

Answers

Answer:4%

Step-by-step explanation:

From the question, we are informed that a jigsaw puzzle is priced 17.00 but cost 17.68 at the register. This means that the sales tax is (17.68 - 17.00) = 0.68.

Therefore, the sales tax rate will be calculated as:

= (0.68 / 17.00) × 100

= 4%

The sales tax rate is 4%

Brianna went to Los Angeles for a vacation. She spent 5 nights at a hotel and rented a car for 6 days. Justin stayed at the same hotel, but spent 7 nights and rented a car for 8 days from the same company. If Brianna paid $1170 and Justin paid $1610, how much did one night at the hotel cost?

Answers

$150 per night

Use a system of equations using x (cost of hotel) and y (cost of car): 

5x + 6y = 1170 

7x + 8y = 1610 

Solve for y in one of the equations and then use substitution to solve for x in the other: 

6y = 1170 - 5x 

y = (-5/6)x + 195 

7x + 8((-5/6)x + 195) = 1610 

7x + (-20/3)x + 1560 = 1610 

(1/3)x +1560 = 1610 

(1/3)x = 50 


x = $150 a night

What formula is used to calculate a percentage?

Answers

Answer: (value/total value)x100%

Step-by-step explanation:

The percentage can be found by dividing the value by the total value and then multiplying the result by 100 for example the formula used to calculate the percentage is (value/total value)x100% then boom easy peezy

A number is chosen at random from 1 to 10. What’s the probability of selecting a odd number

Answers

Answer:

There is a 50% chance of selecting an odd number.

Step-by-step explanation:

Total number of possibilities = 10.

We want to find Probability of selecting odd:

Favourable possibilities are:

1 or 3 or 5 or 7 or 9. (Total 5 possibilities).

Therefore Probability = 5 / 10 = 1/2 or 50%.

Answer: 1/2

(picture)
complete it​

Answers

Answer:

749, 715, 710

Step-by-step explaination:

Simplify the expression by using a double-angle formula or a half-angle formula. 7cos^2(theta/9)-7sin^2(theta/9)
sin(theta/6)cos(theta/6)

Answers

Double-angle formulas:
2sinФcosФ=sin(2Ф) /:2
sinФcosФ=1/2*sin(2Ф)

sin(Ф/6)cos(Ф/6)=1/2*sin(2*Ф/6)=1/2*sin(Ф/3)

cos²Ф-sin²Ф=cos(2Ф)/*7
7cos²Ф-7sin²Ф=7cos(2Ф)

7cos²(Ф/9)-7sin²(Ф/9)=7cos(2*Ф/9)=7cos(2Ф/9)