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2 years ago

11

sally and martha had the same number postcards. after sally sold 18 of her postcards, martha had 4 times as many postcards as sa

lly. how many postcards did each girl have to begin with?

1 answer:

Lyrx [107]2 years ago

8 0

18 times 4 = 72 Both started with 72 Martha sold more

You might be interested in

Answer Please!!<br>I will brainlist him/her

NeTakaya

Answer:

11 : 4

12 : 4 / 4

13 : 6/6

14 : 12 / 4

15: 9/3

16: 4/4

17: 15/5

18: 6/2

19: 10/5

20: 6/6

5 0

2 years ago

Which point is on the graph of f(x) = 2*5^x

vodomira [7]

Answer:

Option B (1,10)

Step-by-step explanation:

we have

$f(x)=2(5^x)$

we know that

If a ordered pair is on the graph of f(x) then the ordered pair must satisfy the function f(x)

<u><em>Verify each case</em></u>

case A) (0,0)

For x=0

$f(x)=2(5^0)\\f(x)=2(1)=2$

Compare the value of f(x) with the y-coordinate of the ordered pair

$2\neq 0$

therefore

The ordered pair is not on the graph of f(x)

case B) (1,10)

For x=1

$f(x)=2(5^1)\\f(x)=2(5)=10$

Compare the value of f(x) with the y-coordinate of the ordered pair

$10=10$

therefore

The ordered pair is on the graph of f(x)

case C) (0,10)

For x=0

$f(x)=2(5^0)\\f(x)=2(1)=2$

Compare the value of f(x) with the y-coordinate of the ordered pair

$2\neq 10$

therefore

The ordered pair is not on the graph of f(x)

case D) (10,1)

For x=10

$f(x)=2(5^{10})\\f(x)=2(9,765,625)=19,531,250$

Compare the value of f(x) with the y-coordinate of the ordered pair

$19,531,250\neq 1$

therefore

The ordered pair is not on the graph of f(x)

7 0

3 years ago

On a sunny afternoon, a 10-meter tall billboard casts a shadow that is 6 meters long. At the same time a nearby building casts a

Liono4ka [1.6K]

1) 10/6 = H/ 4 or 5/3 = H/2 or H = 10/3 = 3.3 m

<span>2) sin P = 3/5 (given) = sin (90-Q) = cos Q = 3/5</span>

5 0

3 years ago

Hi, am I supposed to find the stationary points of the f(x) and g(x) then use the distance formula to solve for the final answer

nikdorinn [45]

9514 1404 393

Answer:

maximum difference is 38 at x = -3

Step-by-step explanation:

This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.

__

Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.

h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2

Then the derivative is ...

h'(x) = 3x² +4x -15 = (x +3)(3x -5)

This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.

The maximum difference between f(x) and g(x) is 38 at x = -3.

4 0

2 years ago

A plan that costs $29.99 another company $19.99 and $0.35 during nights and weekends for what numbers of night and weekend does

Masja [62]

Answer:

<em>29 minutes more</em>

Step-by-step explanation:

Let m represent minutes

changing the statement to algebra, since the second company charges a different rate at night and weekend we have the equation below;

$19.99 + $0.35m > $29.99

Subtract 19.99 from both sides to isolate m and we have;

$19.99 -$19.99 + $0.35 > $29.99 - $19.99

= $0,35m > $10.00

Divide both side by 0.35 to obtain the value of m;

$\frac{0.35m}{0.35}$ > $\frac{10}{0.35}$

= m > 28.57

<em>m ⩾ 29 minutes</em>

<em>The second company's will be twenty nine minutes or more costlier than the first company</em>

5 0

3 years ago

Read 2 more answers