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maxonik [38]
3 years ago
12

Manuel and Sonja are shopping for school supplies. Manuel is buying 5 notebooks and 3 pens at a cost of $21. Sonja is buying 6 n

otebooks and 5 pens at a cost of $28. The first equation, representing Manuel’s purchase, is 5 x + 3 y = 21. What is the second equation needed to solve the system? 5 x minus 6 y = 28 6 x minus 5 y = 28 5 x + 6 y = 28 6 x + 5 y = 28
Mathematics
1 answer:
brilliants [131]3 years ago
3 0

Answer: 6x+5y=28

Step-by-step explanation:

Looking at the first equation, we can tell that x stands for notebooks and y stand for pens. Since this talks about the total cost with the amount of products they bought, we can automatically eliminate the subtracting answer choices.

Now, we know that 6x+57=28 is the correct answer because Sonja bought 6 notebooks and 5 pens. This becomes 6x+5y.

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If I earned $1 every 3 months, how many months until I earn $1000?
KatRina [158]

Answer: 250 years

Step-by-step explanation:

12/3=4

4 x $1 = $4 per year

$1000/4=250

250 years

3 0
3 years ago
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Simplify the expression below. Make sure to reduce all fractions.<br><br> 8sec(x)/-7sec(x)
Sidana [21]

Answer:

- \frac{8}{7}

Step-by-step explanation:

Given

\frac{8secx}{-7secx} ← cancel sec x on numerator/ denominator

= \frac{8}{-7}

= - \frac{8}{7}

7 0
3 years ago
6x square +11x-10 <br>Factories ​
vova2212 [387]

Answer:

(2x+5)(3x-2)

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6x²+11x-10

6x²+15x-4x-10

3x(2x+5)-2(2x+5)

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7 0
2 years ago
There are 135 people in a sport centre. 73 people use the gym. 59 people use the swimming pool. 31 people use the track. 19 peop
wlad13 [49]

Answer:

Probability that the person doesn't use any facility = 0.0889

Step-by-step explanation:

Total number of people in a sports center = 135

Number of people using gym 'G' = 73

Number of people using swimming pool 'P' = 59

Number of people using track 'T' = 31

Number of people using gym and pool (G∩P) = 19

Number of people using pool and track (P∩T) = 9

Number of people using gym and track (G∩T) = 16

Number of people using all three facilities (G∩P∩T) = 4

Therefore, from the rule of compound probability,

P(GUPUT) = P(G) + P(P) + P(T) - P(G∩P) - P(G∩T) - P(P∩T) + p(G∩P∩T)

We know probability of an event = \frac{\text{Favorable event}}{\text{Total outcomes}}

We will plug in the values of probabilities of each event in the formula.

P(GUPUT) = \frac{73}{135}+\frac{59}{135}+\frac{31}{135}-\frac{19}{135}-\frac{9}{135}-\frac{16}{135}+\frac{4}{135}

                 = \frac{1}{135}(73+59+31-19-9-16+4)

                 = \frac{123}{135}

And probability that a person doesn't use any facility = 1 - P(GUPUT)

= 1 - \frac{123}{135}

= \frac{135-123}{135}

= \frac{12}{135}

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7 0
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324/4 = 81

Area is 81 cm^2
3 0
3 years ago
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