Pi times seventeen equals forty-seven

latoya is going for a run. she runs at a speed of 6 miles per hour for 9.6 miles. for how many hours does she run?

LenKa [72]

$\begin{array}{ccc}6mi&-&1h\\9.6mi&-&xh\end{array}\ \ |cross\ multiply\\\\6x=1\cdot9.6\\\\6x=9.6\ \ \ |divide\ both\ sides\ by\ 6\\\\\boxed{x=1.6\ (h)}$

7 0

3 years ago

Graph the piecewise function given below. i need help please

yawa3891 [41]

Answer:

this may help you.look it once

8 0

2 years ago

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Find the first term and the common ratio <br>third term =6 and seventh term= 96

mamaluj [8]

Answer:

First term a₁ = 3/2 and common ratio r = 2

Step-by-step explanation:

We need to find the first term and common ratio while we are given third term = 6 and seventh term = 96

Since common ratio is required so, the sequence is geometric sequence

The formula used is: $a_n= a_1r^{n-1}$

We are given: third term = 6 i,e

$a_3=a_1r(3-1)\\6=a_1r^2----eq(1)$

Seventh term = 96

$a_7=a_1r(7-1)\\96=a_1r^6----eq(2)$

Dividing eq(2) and eq(3)

$\frac{96}{6}=\frac{a_1r^6}{a1r2}\\16=\frac{r^6}{r^2}\\16=r^{6-2}\\=> r^4=16\\Taking \ fourth \ root\\ r=2,-2,2i,-2i\\ \ We \ will \ consider \ only \ positive \ value \ of \ r \ i.e \ \textbf{ r= 2}$

So, Common Ratio r = 2

Finding First term using eq(1)

$a_3=a_1r^2\\6=a_1(2)^2\\6=a_1(4)\\a_1= \frac{6}{4}\\a_1= \frac{3}{2}$

So, First term a₁ = 3/2 and common ratio r = 2

6 0

3 years ago

The distance from Gillette, New Jersey, to Irvington, New Jersey, is 1 mile more than four times the distance from Irvington to

vivado [14]

Answer:

distance from Irvington to Newark

.= 3 Miles

Step-by-step explanation:

distance from Irvington to Newark.= X

distance from Gillette, New Jersey, to Irvington, New Jersey,= y

Y= 1+4x

total distance from Gillette to Newark

= z

Z= 6x-2

But total distance = x+y

Total distance= x+1+4x

Total distance= 1+5x

1 +5x= 6x-2

1+2= 6x-5x

3= x

distance from Irvington to Newark.= X

distance from Irvington to Newark

.= 3 Miles

distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+4x

distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+4(3)

distance from Gillette, New Jersey, to Irvington, New Jersey,= 1+12

distance from Gillette, New Jersey, to Irvington, New Jersey,= 13 miles

Total distance= 1+5x

Total distance= 1+5(3)

Total distance= 16 miles

7 0

2 years ago

CPU is a ___computer.

PolarNik [594]

The computer's central processing unit (CPU) is the portion of a computer that retrieves and executes instructions. The CPU is essentially the brain of a CAD system. It consists of an arithmetic and logic unit (ALU), a control unit, and various registers.

5 0

3 years ago

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