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dsp73
4 years ago
7

Mary drives 33 miles in 3/5 of an hour. After 6 hours of traveling, how far will she drive?

Mathematics
2 answers:
Minchanka [31]4 years ago
7 0

Answer:

550 miles

Step-by-step explanation:

Leno4ka [110]4 years ago
5 0

Answer:

330 miles

Step-by-step explanation:

We can use a ratio to solve

33 miles          x miles

------------  = ----------------

3/5 hour          6 hours

Using cross product

33 *6 = 3/5 x

198 = 3/5x

Multiply each side by 5/3

198*5/3 = 5/3 * 3/5x

330 =x

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I need help with the grape.
Natalka [10]
This is the graph, on the x and y axis od the graph you plot the point at 4 (positive)

4 0
3 years ago
Find the value of c so that (x-5) is a factor of the polynomial p(x)
liubo4ka [24]

I think the question is

Find the value of c so that (x-5) is a factor of the polynomial

p(x) = x^3 + 2x^2 + cx + 10

The other factor is going to be some quadratic.  We can say a few things about its coefficients but let's start by saying in general it's

q(x)= ax^2 + bx + k

p(x) = (x-5)q(x)

x^3 + 2x^2 + cx + 10 = (x-5)(ax^2 + bx+k) = ax^3 + (b-5a)x^2 + (k-5b)x - 5k

Equating respective coefficients,

a=1

b-5a = 2

k - 5b = c

-5k = 10

so we get

b = 2 + 5 = 7

k = 10/-5 = -2

c = k - 5b = 2 - 5(7)= -37

Answer: -37

Check:

(x^2 + 7x - 2)(x - 5) = x^3 + 2 x^2 - 37 x + 10\quad\checkmark




7 0
3 years ago
The equation's X-y= 2, -2y=-2, X+ y = 2, and x+2y=-2 are shown on the graph below.
ziro4ka [17]

Answer:

A.) x-y=2 and x+2y=-2

Step-by-step explanation:

For option A, we have:

x-y=2

x+2y=-2

Subtract the first equation from the second, to get:

2y--y=-2-2

This implies that:

2y+y=-2-2

Simplify to get:

3y=-4

Divide both sides by 3 to get:

y =  -  \frac{4}{3}  =  - 1.3

We substitute y=-1.3 into the first equation to get:

x--1.3=2

x+1.3=2

x=2-1.3

x=0.7

The solution is (0.7,-1.3), which is approximately (0.7, -1.4)

By inspection, all the other factors have solutions not close to (0.7, -1.4)

3 0
3 years ago
Read 2 more answers
The population of a town increases by 4 % every year . In the last year the population of the town was 110000.
TEA [102]

Answer:

114,400 and 118,976.

Step-by-step explanation:

Let's represent this using a function. Let's let:

P(y) represent the total population, and y represent the total number of years since last year.

We know that the population grows by 4% every year or 0.04 every year. This is exponential growth. We can write this as:

P(y)=110000(1.04)^y

Note that the coefficient is 110000 because that is the year we are starting with. Also, note that it is 1.04 because we are essentially adding .04 to the original population.

Anyways, to find the present population, set y equal to 1 (because 1 year after last year is the present year)

P(1)=110000(1.04)^1=114400

The present population is 114,400 people.

For next year, set y equal to 2 (2 years after last year is next year)>

P(2)=110000(1.04)^2=118976

The population next year will be 118,976 people.

3 0
3 years ago
2,8 -4,-4 what is the slope
emmasim [6.3K]

Answer:

For (2, 8) the slope is 2

For (-4, -4) the slope is -4

Step-by-step explanation:

The slope is the x axis which goes first

and the y intercept would be the y axis which goes second

Slope goes before the y intercept

for example: (8, 4) the slope is 8 the y intercept is 4

7 0
3 years ago
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