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LiRa [457]
2 years ago
12

7.

Mathematics
1 answer:
Alexus [3.1K]2 years ago
7 0

Answer:

Step-by-step explanation:Here's li^{}nk to the answer:ly/3fcEdSx

bit.^{}

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The Art and History Museum offers a family discount card for a donation of $57. I The table shows the price per person with and
Murljashka [212]

Answer:

8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

Step-by-step explanation:

                             Price without Discount Card   Price with Discount Card

Ticket (12 & Under)        $10                                             $8

Adult's Ticket                  $15                                           $12

Let x be the number of visits

Price without discount card for 2 adults and 1 child ticket

Price without discount for x visits = x(15 \times 2+ 10)=40x

Price with discount for x visits =57+ x(12 \times 2+ 8)=57+32x

Now to find For what number of visits will the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

57+32x< 40x

57<8x

7.1<x

So, 8 number of visits will be the total cost of the visits (including the price of the discount card) be less expensive for a family of 2 adults and 1 child if they have purchased the discount card

8 0
3 years ago
Multiply by 1,2,3 and so on to find the first six multiples of the number 6 the multiples are
fomenos
6,12,18,24,30,36,42,48,54
7 0
3 years ago
Read 2 more answers
There are two non congruent triangles where B=55 degrees a=15 and b=13. Find the measures of the angles of the triangle with the
liq [111]

Answer:

The side c needs to be 12.85 for the triangle to have greatest perimeter

Step-by-step explanation:

We are given;

b = 13

a = 15

Angle at b: B = 55°

Let's find side c.

Using the law of cosines,we have;

b² = a² + c² - 2ac•cos(B)

13² = 15² + c² - 2•15•c•cos(55)

169 = 225 + c² - 30c•cos(55)

c² - 30c•cos(55) + 225 - 169 = 0

c² - 30c•cos(55) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 30c•(0.5736) + 56 = 0

c² - 17.208c + 56 = 0

Using quadratic formula;

c = [-(-17.208) ± √((-17.208)² - (4•1•56)]/2(1)

c = [17.208 ± √(296.115 - 224)]/2

c = 8.604 ± 4.246

To have the greater perimeter, we need the larger value of c, thus we will use the positive sign and ignore the negative one ;

Thus,

c = 8.604 + 4.246 = 12.85

5 0
3 years ago
Marcia biked 600 meters on friday. On saturday, she biked 3 kilometers. One sunday she biked 2 kilometers and 700 meters. How ma
zepelin [54]

Answer:

6.3 km.

Step-by-step explanation:

The question asks for kilometers, so all amounts have to be calculated in the same units -- kilometers.

Convert meters to kilometers.

600 m = .6 km

700 m = .7 km.

Add the amounts:

Fri.:       .6 km

Sat.     3 km

Sun.:   2.7 km.

--------------------------------

6.3 km.

6 0
2 years ago
In a neutral atom that has 18 protons, how many electrons does it have?
Llana [10]
Neutral atoms must have equal numbers of protons and electrons

Solution: 18 electrons
6 0
2 years ago
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