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3 years ago

The product of and a number plus 17 is 5

Mathematics

1 answer:

swat323 years ago

3 0

Answer:

-12

Step-by-step explanation:

-12 + 17 is 5. x = 5

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The cost of 3 notebooks and 2 pencils is $5.10. At the same prices, the cost of 2 notebooks and 3 pencils is $4.65. What is the

Pepsi [2]

Answer:

$1.95

Step-by-step explanation:

notebook = n

pencil = p

3n + 2p = 5.10

2n + 3p = 4.65

multiply top equation by 2 and bottom by 3

6n + 4p = 10.20

6n +9p = 13.95

subtract bottom equation from the top equation

-5p = -3.75

divide by 5, negatives cancel out

p = 0.75

sub p into either equation, I chose the original top equation

3n + 2(0.75) = 5.10

3n + 1.50 = 5.10

subtract 1.50 from both sides

3n = 3.60

divide both sides by 3

n = 1.20

p = 0.75

n + p = 1.95 (the fourth option)

4 0

3 years ago

A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

sdas [7]

Answer:

$y=-\dfrac{13}{49}x^2$

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

the general equation for a parabola is:

$y=ax^2+bx+c$

we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

$-13=a(-7)^2+b(-7)+c$

$49a-7b+c=-13$

(x,y) = (7,-13)

$-13=a(7)^2+b(7)+c$

$49a+7b+c=-13$

(x,y) = (0,0)

$0=a(0)^2+b(7)+c$

$c=0$

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

$49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13$

$49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13$

we can solve these two equation using the elimination method, by simply adding the two equations

$\quad\quad49a-7b=-13\\+\quad49a+7b=-13$

------------------------------

$\quad\quad 98a=-26$

$\quad\quad a=-\dfrac{13}{49}$

Now we can plug this value of a in any of the two equations.

$49a-7b=-13$

$49\left(-\dfrac{13}{49}\right)-7b=-13$

$-13-7b=-13$

$-7b=0$

$b=0$

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

$y=\left(-\dfrac{13}{49}\right)x^2+0x+0$

$y=-\dfrac{13}{49}x^2$

$49y=-13x^2$

This our equation of the arch!

5 0

2 years ago

The state of Maryland charges a 6% sales tax on most merchandise sold. you purchase a new shirt for 25% how much do you pay?

Yuri [45]

If your question is 25 dollars for the shirt then the ansewer is $26.5 hope this helps.

3 0

3 years ago

Why is the answer undefined????? Please explain to me!! Thanks!!!!!

Alja [10]

If you input: 1/0.00000001 in a calculator, the result will be a very large number
so as you get closer to zero, the result of 1/x larger until it becomes infinite (or undefined as some people like to call it) at 1/0

4 0

2 years ago

the main rotor of a helicopter rotates 430 times per minute. find the number of degrees through which a point on the main rotor

n200080 [17]

Answer:

2580 degrees rotated per second

Step-by-step explanation:

since you have to find the degrees it rotates per second.

you need to divide 430 by 60 to find rotations per second

1) 430/60

= 7.16666667 rotations per second

-then you have to multiply it by 360 degrees ,because their is 360 degrees in a circle

2) 7.16666667 (360)

= 2580 degrees rotated per second

6 0

3 years ago

The product of and a number plus 17 is 5​

The product of and a number plus 17 is 5