Ask question

Ask question

All categories

3 years ago

14

Sharita does special typing jobs for scientists. She charges $7 for the first 3 pages and $3for each additional page. Sonia paid

$100 to have a paper typed. How many pages long was Sinia’s Paper

2 answers:

vazorg [7]3 years ago

8 0

The answer to the question

tia_tia [17]3 years ago

4 0

The answer is 34 pages. You subtract the $7 from $100 and divide by 3.

=31. Then add the 3 original pages: 31+3=34.

You might be interested in

If x=2 and y=5, how would you work out 2y to the power of 2?

noname [10]

Answer:

Step-by-step explanation:

(5)^

2×

3 0

3 years ago

Read 2 more answers

Show that <br>sinx/1+cosx=tanx/2

hammer [34]

Answer:

See proof below

Step-by-step explanation:

show that

sinx/1+cosx=tanx/2

From LHS

sinx/1+cosx

According to half angle

sinx = 2sinx/2 cosx/2

cosx = cos²x/2 - sin²x/2

cosx = cos²x/2 - (1- cos²x/2)

cosx = 2cos²x/2 - 1

cos x + 1 = 2cos²x/2

Substitute into the expression;

sinx/1+cosx

= (2sinx/2 cosx/2)/2cos²x/2

= sinx.2/cos x/2

Since tan x = sinx/cosx

Hence sinx/2/cos x/2 = tan x/2 (RHS)

This shows that sinx/1+cosx=tanx/2

7 0

3 years ago

which of the following is a result of shiftinga circle with equation (×-2)+(y-3)^2= 25 to the left 2 unit ?

Paha777 [63]

Answer:

x^2+(y-1)^2=25

Step-by-step explanation:

eqn of circle : (x-h)^2+(y-k)^2=r^2

center of circle = (h,k)

hence, the center of the current circle is (2,3)

moving 2 units to the left would make the center (0,1)

the radius would remain the same (5) , hence the new eqn would be

(x-0)^2+(y-1)^2=25

x^2+(y-1)^2=25

4 0

2 years ago

Which inequality represents the value of x that ensures triangle abc exists?

olasank [31]

Answer:

Option A.

Step-by-step explanation:

According to triangle inequality theorem, a triangle exists if the sum of two sides is greater that third side.

Apply this theorem on each combination.

Case I: $(2x+4)+6x>18$

$8x+4>18$

$8x>14$

$x>\dfrac{14}{8}$

$x>\dfrac{7}{4}$ ...(1)

Case II: $(2x+4)+18>6x$

$2x+22>6x$

$22>4x$

$\dfrac{22}{4}>x$

$\dfrac{11}{2}>x$ ...(2)

Case III: $6x+18>2x+4$

$6x-2x>4-18$

$4x>-14$

$x>-\dfrac{14}{4}$

$x>-\dfrac{7}{2}$ ...(3)

On combining (1), (2) and (3), we get

$\dfrac{7}{4}$

Therefore, the correct option is A.

3 0

3 years ago

The linear function f i with values f(-1) = 10 and f(5) = -1 is f(x)

zhenek [66]

Answer:

Use the two points to compute the slope, m, then use one of the points in the form <span>y=m<span>(x)</span>+b</span> to find the value of b.

Explanation:

The equation for the slope, m, of a line is:

<span>m=<span><span><span>y1</span>−<span>y0</span></span><span><span>x1</span>−<span>x0</span></span></span> [1]</span>

The equation <span><span>f<span>(2)</span></span>=−1</span> tells us that <span><span>x0</span>=2and<span>y0</span>=−1</span>; substitute this into equation [1]:

<span>m=<span><span><span>y1</span>−−1</span><span><span>x1</span>−2</span></span> [2]</span>

The equation <span><span>f<span>(5)</span></span>=4</span> tells us that <span><span>x1</span>=5and<span>y1</span>=4</span>; substitute this into equation [2]:

<span>m=<span><span>4−−1</span><span>5−2</span></span> [3]</span>

<span>m=<span>53</span></span>

Substitute <span>53</span> for m into the equation <span>y=m<span>(x)</span>+b</span>

<span>y=<span>53</span>x+b [4]</span>

Substitute 2 for x and -1 for y and the solve for b:

<span>−1=<span>53</span><span>(2)</span>+b</span>

<span>b=−<span>133</span></span>

Substitute <span>−<span>133</span></span> for b in equation [4]:

<span>y=<span>53</span>x−<span>133</span> [5]</span>

Check:

<span>−1=<span>53</span><span>(2)</span>−<span>133</span></span>
<span>4=<span>53</span><span>(5)</span>−<span>133</span></span>

<span>−1=−1</span>
<span>4=<span>4</span></span>

<span><span>
</span></span>

<span><span>Hope this helps </span></span>

3 0

3 years ago