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zloy xaker [14]
3 years ago
14

A senior class at Smith High School has 84 students.

Mathematics
1 answer:
sattari [20]3 years ago
3 0

Answer: 44 boys and 40 girls

Step-by-step explanation:

x = number of girls

x + 4 = number of boys

x + x + 4 = 84

2x + 4 = 84

2x = 80

x = 40

84 - 40 = 44

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2 years ago
Through (2, -1), perp. to y = -2x-3
kramer

9514 1404 393

Answer:

  y = 1/2x -2

Step-by-step explanation:

The given equation is in slope-intercept form, so you recognize its slope is -2. The perpendicular line will have a slope that is the opposite reciprocal of that, so is -1/-2 = 1/2.

The y-intercept can be found from ...

  b = y -mx . . . . . for line of slope m through point (x, y)

  b = -1 -(1/2)(2) = -1 -1 = -2

Then the slope-intercept equation of the perpendicular line is ...

  y = 1/2x -2

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2 years ago
To download movies off the Internet you must pay $1.99 per movie plus a one time fee of $5.50 write an expression to show the to
MrRissso [65]
1.99<span>x + 5.50 = Total cost</span>
4 0
3 years ago
28 students in the class 75% pass how many students pass
SashulF [63]

Answer:

21 students pass

Step-by-step explanation:

Firstly, you can set up the problem into an equation where the variable X would equal the number of students passing. You put X over the total number of students in the class, turning it into a fraction, then set it equal to the fraction  \frac{75}{100} (which is 75% represented as a fraction).

\frac{X}{28} = \frac{75}{100}

The fraction \frac{75}{100} can be simplified, because 75 and 100 are both multiples of 25, so after canceling out the 25s you would be left with \frac{3}{4}.

\frac{X}{28} = \frac{3}{4}

Next, you use the process of cross multiplication which is essentially just multiplying the denominators of both fractions (which would be 28 and 4 in this case) to each side of the equation.

\frac{X}{28} * 28 * 4 = \frac{3}{4} * 4 * 28

The denominators cancel out leaving you with a simple equation to simplify.

4* X =  3 * 28

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Finally, divide both sides by four in order to isolate the variable.

\frac{4X}{4} = \frac{84}{4}

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5 0
3 years ago
Jerry deposited 20,000 on an investment that will give 1,750 for every year that his money stays in the account. How much money
lesya692 [45]

Answer:

$34,000

Step-by-step explanation:

Jerry will get $1,750 for every year that his money stays in the account thus for 8 years he will get:

8*1,750 = $14,000

Together with the deposited money:

$20,000 + $14,000 = $34,000

By the end of year 8 there will be $34,000 of Jerry's account.

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