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klasskru [66]
3 years ago
11

Jason weighs 36 pounds together he and his sister weigh four pounds more than three times the weight of his sister what is the w

eight w of jason's sister?
A 36+ w= 3; 18 pounds
B 36+ w- =3w; 19 pounds
C 36+ w= 3w+4; 16 pounds
D 36+ w= 3w -4; 20 pounds
Mathematics
1 answer:
mote1985 [20]3 years ago
5 0

Answer:

C 36+ w= 3w+4; 16 pounds

Step-by-step explanation:

jason weighs 36

jason's sister weighs w

together they weigh 36+w

Then ,We can model the statement:

<em>“together he and his sister weigh four pounds more than three times the weight of his sister”.</em>

like this :

36+ w= 3w+4

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Mr. Duncan bought a table at a discount if 30% thus saving $42. what was the marked price of the table?​
katovenus [111]

Answer:

$140

Step-by-step explanation:

if 30% of full price = $42 then 100% = 42/0.3 = 140

5 0
3 years ago
Read 2 more answers
A new sidewalk will be 5 feet​ wide, 100 feet​ long, and filled to a depth of 3 inches ​(0.25 ​foot) with concrete. How many cub
GarryVolchara [31]

Answer:

4.63 cubic yard.

Step-by-step explanation:

Given,

The length of sidewalk, l = 100 feet,

Width, w = 5 feet,

Depth, h = 3 inches = 0.25 feet,

Thus, the volume of the concrete needed for making the sidewalk,

V=l\times w\times h

=100\times 5\times 0.25

= 125 cubic feet,

∵ 1 cubic yard = 27 cubic feet,

⇒ 1 cubic feet = \frac{1}{27} cubic yard,

Thus, the quantity of concrete needed = \frac{125}{27} ≈ 4.63 cubic yard.

4 0
3 years ago
Express x^2y^2+x^2+y^2+1
Hitman42 [59]

Answer:

( y^2 +1) ( x^2+1)

Step-by-step explanation:

Step 1 ) Factor out x^2 from the expression

x^2 (y^2+1)+y^2+1

Step 2) Factor out y^2 from the expression

(y^2+1) (x^2+1)

Solution is ( y^2 +1) ( x^2+1)

5 0
3 years ago
∫(cosx) / (sin²x) dx
kirza4 [7]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2822772

_______________


Evaluate the indefinite integral:

\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx}\\\\\\&#10;=\mathsf{\displaystyle\int\! \frac{1}{(sin\,x)^2}\cdot cos\,x\,dx\qquad\quad(i)}


Make the following substitution:

\mathsf{sin\,x=u\quad\Rightarrow\quad cos\,x\,dx=du}


and then, the integral (i) becomes

=\mathsf{\displaystyle\int\! \frac{1}{u^2}\,du}\\\\\\&#10;=\mathsf{\displaystyle\int\! u^{-2}\,du}


Integrate it by applying the power rule:

\mathsf{=\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\&#10;\mathsf{=\dfrac{u^{-1}}{-1}+C}\\\\\\&#10;\mathsf{=-\,\dfrac{1}{u}+C}


Now, substitute back for u = sin x, so the result is given in terms of x:

\mathsf{=-\,\dfrac{1}{sin\,x}+C}\\\\\\&#10;\mathsf{=-\,csc\,x+C}


\therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx=-\,csc\,x+C} \end{array}}\qquad\quad\checkmark


I hope this helps. =)


Tags:  <em>indefinite integral substitution trigonometric trig function sine cosine cosecant sin cos csc differential integral calculus</em>

5 0
4 years ago
Determine if the two triangles are congruent. If they are, state how you know.
NNADVOKAT [17]

Answer:

(i think) they are congruent

Step-by-step explanation:

The tick marks show that they are congruent by SSS

3 0
3 years ago
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