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Marianna [84]
2 years ago
4

Sasha. Julia, and Vika go shopping. Sasha spends$8 less than twice the amount that Vika spent. Julia spends $12 more than Vika s

pent. the three shoppers spent $204 in all how much did each girl spend
Mathematics
1 answer:
RideAnS [48]2 years ago
8 0
Vika = X
Sasha = 2x-8
Julia = x+12

x + 2x-8 + x+12 = 204

combine like terms first:

4x +4 = 204

4x = 200

x = 200/4 = 50

Vika = X = $50
Sasha = 2x-8 = 2(50)-8 = 100-8 =$92
Julia = x+12 = 50+12 = $62
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The 8th term of a GP is -7/32 find its common ratio if its first term is 28
Ugo [173]
<h2>Common ratio = -1/2</h2>

Step-by-step explanation:

       \text{8}^{th} term of a Geometric progression is given as \dfrac{-7}{32}. The first term is given as 28.

       Any general Geometric progression can be represented using the series a,ar,ar^{2},ar^{3},ar^{4}...\text{ }ar^{n-1}.

The first term in such a GP is given by a, common ratio by r, and the n^{th} term is given by ar^{n-1}.

       In the given GP, a=28;t_{8}=ar^{7}=\dfrac{-7}{32}\\\\28r^{7}=\dfrac{-7}{32}\\\\r^{7}=\dfrac{-1}{128}\\\\r=\dfrac{-1}{2}

∴ Common ratio is \dfrac{-1}{2}.

5 0
2 years ago
Members of the pep club were selling raffle tickets for $1.50 and $5. The number of $1.50 tickets sold was two less than four ti
marysya [2.9K]

Answer:

see below

Step-by-step explanation:

1.5x + 5y = 1152    

x = 4y – 2

We can substitute the second equation into the first equation

Which one-variable linear equation can be formed using the substitution method?

1.5(4y-2) +5y = 1152  

Distribute

6y -3 +5y = 1152

Combine like terms

11y-3 = 1152

Add 3 to each side

11y-3+3 = 1152+3

11y = 1155

Divide each side by 11

11y/11 = 1155/11

y = 105

How many $5 raffle tickets were sold?

105 5 dollar tickets were sold

Now we need to find the number of 1.50 tickets

Which equation can be used to determine how many $1.50 raffle tickets were sold?

x = 4y – 2

x = 4(105) -2

   =420-2

   = 418

How many $1.50 raffle tickets were sold?

418    $1.50 tickets were sold

3 0
2 years ago
Read 2 more answers
A store ships cans by weight. A small box can hold 3 to 5 pounds. A medium box can hold 5 to 8 pounds. A large box can hold 8 to
Strike441 [17]

Answer:

Step-by-step explanation: Uhh I have no idea how I got this right because I guessed but

small: 3-5 pounds 0.25+1.2+2.7

Medium: 5-8 pounds 0.25+0.25+1.2+1.2+1.2+1.2

Large 8-10 pounds 0.25+1.2+1.2+1.2+2.7+2.7

Hope I helped this is my first time answering a question have a good day everyone

6 0
2 years ago
The equation of a circle is (x + 12)2 + (y + 16)2 = (r1)2, and the circle passes through the origin. The equation of the circle
Furkat [3]
For an equation to pass through the origin, (0,0) must be a solution of the equation. So, for the first one, 

(x + 12)^{2} + (y + 16)^{2} = r_{1}^{2}

(0, 0) must satisfy the equation and we can solve for the value of r₁ as shown below.

(0 + 12)^{2} + (0 + 16)^{2} = r_{1}^{2}
12^{2} + 16^{2} = r_{1}^{2}
r_{1} = \sqrt{12^{2} + 16^{2}}
r_{1} = 20

Since the second equation of the circle also passes through the origin, we use the same steps from the first one.

(0 - 30)^{2} + (0 - 16)^{2} = r_{2}^{2}
r_{2} = \sqrt{30^{2} + 16^{2}}
r_{2} = 34

Thus, we have the values for r₁ and r₂ as 20 and 34, respectively.

Answer: r₁ = 20 and r₂ = 34
7 0
2 years ago
Brett plays an acoustic guitar at an event for $500. At the end of the event, the sponsor tips him 20%. How much does Brett make
Blababa [14]
Brett makes $510

First you’ll have to multiply $500 by 0.020 (you have to convert 20%) and you’ll get 10. You then add the 10 to 500 to get $510
8 0
2 years ago
Read 2 more answers
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