1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Galina-37 [17]
3 years ago
7

Simone saved $65.35 more than her brother Dan and $37.50 less than her sister Carly. Carly saved $127.75. Write and solve equati

ons to find how much money Simone and Dan saved.
Mathematics
2 answers:
elena55 [62]3 years ago
5 0
Siamone has $65.32 + DAN 
Dan has CARLY - $37.50
CARLY = $127.75 
Plug Carly into Dan's equation... 
$127.75 - $37.50 = $90.20
DAN = $90.20
Plug Dan into Siamone's equation
$65.32 + $90.20 = $155.57
Ivenika [448]3 years ago
5 0

Answer:

Let x be the amount ( in dollars ) saved by Dan,

∵ Simone saved $65.35 more than her brother Dan,

∴ Amount saved by Simon = x + 65.35 ,

Now, Simon saved $37.50 less than her sister Carly,

⇒ amount saved by Carly - 37.50 = x + 65.35

⇒ Amount saved by Carly = x + 102.85

According to the question,

x + 102.85 = 127.75

Which is the required equation,

Subtract 102.85 both sides,

x = 24.9

Hence, Simon's saving = 24.9 + 65.35 = $ 90.25

While, Dan's saving = $ 24.9.

You might be interested in
(−8k+1)(−8k+1) standard form
kifflom [539]

Answer:

64k^2 - 16k +1

Step-by-step explanation:

We can rewrite this as

(-8k+1) ^2

We know that (a+b)^2 = a^2 +2ab +b^2

Let a = -8k  and b = 1

(-8k+1) = (-8k)^2 +2*(-8k)(1) + 1^2

           =64k^2 - 16k +1

3 0
3 years ago
Read 2 more answers
Increase 400litres by 20%
Sati [7]

Answer:

480 Litres

Step-by-step explanation:

Percentage increase = 20% × 400

New value =

400 + Percentage increase =

400 + (20% × 400) =

400 + 20% × 400 =

(1 + 20%) × 400 =

(100% + 20%) × 400 =

120% × 400 =

120 ÷ 100 × 400 =

120 × 400 ÷ 100 =

48,000 ÷ 100 =

480

3 0
2 years ago
A pile of 10 000 paper is 89 cm thick. How thick is one sheet of paper?
Iteru [2.4K]

Answer:

0.0089 cm

Step-by-step explanation:

89/10 000

=0.0089

8 0
2 years ago
One eight of tony's books are mystery books. He has 3 mystery books. How many books does Tony have in all.
miv72 [106K]
<em><u>Tony has 24 books in total</u></em>
4 0
3 years ago
Evaluate the integral of the quotient of the cosine of x and the square root of the quantity 1 plus sine x, dx.
VMariaS [17]

Answer:

∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c.

Step-by-step explanation:

In order to solve this question, it is important to notice that the derivative of the expression (1 + sin(x)) is present in the numerator, which is cos(x). This means that the question can be solved using the u-substitution method.

Let u = 1 + sin(x).

This means du/dx = cos(x). This implies dx = du/cos(x).

Substitute u = 1 + sin(x) and dx = du/cos(x) in the integral.

∫((cos(x)*dx)/(√(1+sin(x)))) = ∫((cos(x)*du)/(cos(x)*√(u))) = ∫((du)/(√(u)))

= ∫(u^(-1/2) * du). Integrating:

(u^(-1/2+1))/(-1/2+1) + c = (u^(1/2))/(1/2) + c = 2u^(1/2) + c = 2√u + c.

Put u = 1 + sin(x). Therefore, 2√(1 + sin(x)) + c. Therefore:

∫((cos(x)*dx)/(√(1+sin(x)))) = 2√(1 + sin(x)) + c!!!

4 0
2 years ago
Read 2 more answers
Other questions:
  • Algebra tiles to prove that 4 + 8x and 4(2x+1)
    9·2 answers
  • Draw a model to find the quotient
    10·2 answers
  • Write 26 5/6<br> as a decimal.
    14·2 answers
  • Could anyone please help me with this? I will vote brainliest
    11·1 answer
  • A sector with an area of 11/2*pi cm^2 has radius of 3 cm. What is the central angle measure of a sector in degrees?
    14·1 answer
  • Solve for x.<br> 4x + 6<br> 4x + 6<br> x = [?]
    8·2 answers
  • What is the answer to -3(9-x)+6x
    13·1 answer
  • 8.(Extra Credit)Knowing the value of x determine the numerical value of all the dimensions on the model.Label them accordingly.
    5·1 answer
  • This pattern repeats every 5 terms. The pattern is rectangle, pentagon, triangle, square, square. What is the 11th term of this
    11·1 answer
  • The diameter of a circle is 15 ft. Find its circumference in terms
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!