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Rudiy27
3 years ago
12

Wolfgang wants to enlarge a picture he developed. Which factor listed below would scale up (enlarge) his picture the most if he

used it to multiply its current dimensions? 7/8 14/14 1 4/9 3/2
Mathematics
1 answer:
kirza4 [7]3 years ago
4 0
You want the largest number here. Both 14/9 and 3/2 are greater than one, so the other options can be eliminated. You can either convert to decimals, or put them over a common denominator.
For decimals, divide 14 by 9 to get 1.556. Then divide 3 by 2 to get 1.5.
If you want to stay in fractions, put them over a common denominator (18 in this case). 14*2->28/18. 3*9->27/18. In both cases, 14/9 is greater so you know your math is correct. 14/9 is the answer.
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Tickets for a certain show cost ​$17​, ​$21​, ​or, for VIP​ seats, ​$40. If ten times as many ​$17 tickets were sold as VIP​ tic
lawyer [7]

Answer:

Tickets sold:

VIP =126

$17 tickets =1,260

$21 tickets =9\cdot 126+57=1,191

Step-by-step explanation:

Let x be the number of VIP tickets.  

If ten times as many ​$17 tickets were sold as VIP​ tickets, then the number of $17 tickets is 10x.

If the number of ​$17 tickets sold was 57 more than the sum of the number of ​$21 tickets and VIP​ tickets, then 10x+57=x+y and the number y of $21 tickets is 9x+57.

Amounts earned:

VIP tickets =\$40x

$17 tickets =\$17\cdot 10x=\$170x

$21 tickets =\$21\cdot (9x+57)=\$(189x+1,197)

Total =\$(40x+170x+189x+1,197)=\$(399x+1,197)

The sales of all three kinds of tickets would total ​$51,471, so

399x+1,197=51,471\\ \\399x=51,471-1,197\\ \\399x=50,274\\ \\x=126

Tickets sold:

VIP =126

$17 tickets =1,260

$21 tickets =9\cdot 126+57=1,191

8 0
3 years ago
Which expressions are equivalent to Negative 2 (5 x minus three-fourths)? Check all that apply.
puteri [66]

Answer:

hope it's help you

Step-by-step explanation:

negative 10×three-halves

6 0
3 years ago
Read 2 more answers
Need help finding the side length, thank you! please try and show work or you can
Tasya [4]

Answer: x=16

Step-by-step explanation:

For this problem, we can set a proportion to find the side length of the smaller rectangle.

\frac{15}{24}=\frac{10}{x}                                     [cross multiply]

15x=240                                 [divide both sides by 15]

x=16

8 0
3 years ago
PLEASE HELP!
Andru [333]
I = PRT

14,300 = (700)(0.0725)(t)
14,300 = 50.75(t)
14300/50.75 = t
281.77 = t    or    t = 281.77

hope this helps :)





4 0
3 years ago
The hypotenuse of a right triangle is 37 units long. Find the other two sides if the perimeter of the triangle is 84 units. Sepa
taurus [48]

Answer:

The lengths of the legs are 12 and 35 units

Step-by-step explanation:

Let c represent the hypotenuse and a and b represent the legs.  Then the Pythagorean Theorem requires that a^2 + b^2 = c^2 = 37^2 = Hypotenuse^2

Also:  a + b + c = Perimeter = 84 units.  

Since c = 37 units, a + b + 37 units = 84 units, or a + b = 47 units, or a = 47 - b.

Then a^2 + b^2 = 37^2 becomes (47 - b)^2 + b^2 = 37^2, or 1369.  Therefore:

2209 - 94b + b^2 + b^2 = 1369.

Simplifying by combining like terms, we get:  

840 - 94b + 2b^2 = 0, which is a quadratic equation in standard form.

Reducing all terms by division by 2, we get:

420 - 47b + b^2 = 0.  Here the coefficients are a = 1, b = -47 and c = 420.

The discriminant is therefore b^2 - 4ac, or 529, whose square root is ± 23.

Then the b values of this quadratic in b are

      47 ± 23

b = -------------- , so that b is either 35 or 12

             2

and then side a has length a = 47 - b = 12  or  35.

Thus, a = 12 and b = 35, and c is given:  37.

Check:  Is 12^2 + 35^2 = 37^2 true?  Is 144 + 1225 = 1369?  YES

The lengths of the legs are 12 and 35 units.

7 0
3 years ago
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