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sp2606
1 month ago
9

: adam and melissa went fly-fishing and caught a total of 32 salmon. melissa caught three times as many salmon as adam. how many

salmon did adam catch?
Mathematics
1 answer:
Leona [12.6K]1 month ago
5 0
Adam = a
Melissa = m

Sum of their catches: a + m = 32
Melissa caught three times as much as Adam: m = 3a
Replace m in the first equation: 3a + a = 32 => 4a = 32 => a = 8
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Sarah and her children went into a movie theater and she bought $35.50 worth of drinks and candies. Each drink costs $5 and each
AnnZ [12381]

Answer:

Sarah purchased 2 drinks and 6 candies.

Step-by-step explanation:

Let

x ----> the quantity of drinks Sarah bought.

y ----> the number of candies acquired by Sarah.

We know that

the total spent on drinks and candies was $35.50

therefore,

5x+4.25y=35.50 -----> equation A

She bought 3 times more candies compared to drinks.

thus,

y=3x -----> equation B

To resolve the equations graphically

The solution lies at the intersection of the two graphs

utilizing a graphing tool

The result is the coordinate (2,6)

therefore,

Sarah bought 2 drinks and 6 candies.

4 0
1 month ago
Triangle MRN is created when an equilateral triangle is folded in half. Triangle N R M is shown. Angle N R M is a right angle. A
Inessa [12570]

Answer:

El valor de x es 4.

Explicación paso a paso:

Se indica que el triángulo MRN surge al doblar un triángulo equilátero por la mitad.

Esto sugiere que el triángulo equilátero original es MNO y que NR actúa como bisectriz perpendicular (una línea que divide un segmento en dos partes iguales formando un ángulo recto).

La longitud del lado del triángulo es

NO = NS + SM = 6 + 2 = 8

Dado que un triángulo equilátero tiene todos sus lados iguales y NR es la bisectriz perpendicular, se tiene que

RM = MO/2 = 8/2 = 4

El valor de x es 4.

7 0
1 month ago
Read 2 more answers
A veterinarian surveys her clients and finds that 32 percent of the households have dogs, 25 percent have cats, and 11 percent h
babunello [11817]

Answer:

C and D

Step-by-step explanation:

6 0
1 month ago
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A CD has a 5% chance of being a smash hit and profiting $5.2 million, a 50% chance of being a modest success and profiting $0.9
Zina [12379]

P(S) = Probability of Smash = 0.05 (5%)
P(M) = Probability of Modest = 0.5 (50%)
P(F) = Probability of Flop = 0.45 (45%)
Based on this, we utilize the model for discrete random variables, leading to:
E(X) = (0.05 * 5.2) + (0.5 * 0.9) + (0.45 * 0)
= 0.26 + 0.45 + 0
= 0.71 Mill'

5 0
1 month ago
Elias’s teacher has given him a rectangle that is 15 feet by 20 feet. She has asked him to create a new rectangle using a scale
Inessa [12570]
No, as the fraction equates to a whole number. Thus, it would actually be an increase.
8 0
26 days ago
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