A number +5 more than three times the number is 37 find the number

Mathematics

1 answer:

xz_007 [3.2K]2 years ago

4 0

Answer: 10 $\frac{2}{3}$

A number: x

Equation: 3x+5=37

Subtract 37-5=32

Divide 32/3= 10 $\frac{2}{3}$

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Mrs. Adesso wants to take her class on a trip to either the science center or natural history museum. The science center charges

BartSMP [9]

Answer:

Step-by-step explanation:

When we write expressions for the total cost of each field visit and set them equal, we find the solution to be the ratio of the difference in fixed cost to the difference in variable cost.

y = 75 +7x . . . . . cost for x students to visit the science center

y = 50 +8x . . . . cost for x students to visit the natural history museum

Subtracting the first equation from the second, we get ...

0 = -25 +x

25 = x . . . . . add 25; the number of students such that costs are equal

The cost will be the same either place for 25 students.

<em>Additional comment</em>

Here, the fixed cost difference is 75-50=25, and the variable cost difference is 8-7=1. The ratio of these costs is ...

$25/($1 /student) = 25 students.

This relationship only holds when the higher fixed cost is associated with the lower variable cost. Charges are such that one place caters to larger numbers of students (science center), and one prefers fewer students (natural history museum).

4 0

2 years ago

What are the factors of 5x2 + 39x − 8?

prisoha [69]

Answer:

C. (5x - 1)(x + 8)

Step-by-step explanation:

In a factoring problem by hand, the common steps to solve would be the "AM" method, or (Add-Multiply). Simply stated, finding what adds to the x-coeficient and what multiplies to the constant. In this case, what adds to 39(x) and what multiplies to 8. Just reading that, we can see that there aren't any numbers that can do that, so we have to improvise. Set up the problem equal to something that it can factor into: