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
Citrus2011 [14]
2 years ago
7

Colin and Dan win some money and share it in the ratio 4:5. Colin gets £52. How much did they win in total?

Mathematics
1 answer:
JulsSmile [24]2 years ago
4 0

Answer:

They won £117 in total.

Step-by-step explanation:

There are two methods to solve the question.

  • Finding the total amount directly
  • Finding Dan's share and adding it to Colin's share

It is given that the ratio is 4:5

Let x be the share of Dan

The ratio between Colin and Dan's share will be 52/x and it should simplify to 4/5

\frac{4}{5} = \frac{52}{x}\\4x = 52*5\\4x = 260\\\frac{4x}{4} = \frac{260}{4}\\x = 65

The total amount will be:

Dan's\ share+ Colin's\ share = 52+65 = 117

Hence,

They won £117 in total.

You might be interested in
Find positive numbers x and y satisfying the equation xyequals12 such that the sum 4xplusy is as small as possible. Let S be the
WITCHER [35]

Answer:

The objective function in terms of one​ number, x is

S(x) = 4x + (12/x)

The values of x and y that minimum the sum are √3 and 4√3 respectively.

Step-by-step explanation:

Two positive numbers, x and y

x × y = 12

xy = 12

S(x,y) = 4x + y

We plan to minimize the sum subject to the constraint (xy = 12)

We can make y the subject of formula in the constraint equation

y = (12/x)

Substituting into the objective function,

S(x,y) = 4x + y

S(x) = 4x + (12/x)

We can then find the minimum.

At minimum point, (dS/dx) = 0 and (d²S/dx²) > 0

(dS/dx) = 4 - (12/x²) = 0

4 - (12/x²) = 0

(12/x²) = 4

4x² = 12

x = √3

y = 12/√3 = 4√3

To just check if this point is truly a minimum

(d²S/dx²) = (24/x³) = (8/√3) > 0 (minimum point)

4 0
2 years ago
Use the zero product property to find the solutions to the equation x2 – 13x + 30 = 0.
alukav5142 [94]

Answer:

<u>The solutions to this quadratic equation are 10 and 3.</u>

Step-by-step explanation:

1. Let's recall the formula for solving this type of equations, called quadratic equations:

 x = ( - b +/- √ b² - 4ac)/ 2a

The equation given is  x2 – 13x + 30 = 0,

where a = 1, b = - 13 and c = 30

Now replacing with the real values, we have

x = [ - (-13) +/- √ (-13)² - 4 * 1 * 30] / 2 * 1

x = [ 13 +/- √ 169 - 120] / 2

x = [13 +/- √ 49]/ 2

x = [ 13 +/- 7 ]/ 2

<u>x₁ = 13 + 7/2 = 20/2 = 10</u>

<u>x₂ = 13 - 7/2 = 6/2 = 3</u>

8 0
2 years ago
PLZ HELP PLZ PLZ PLZ
Temka [501]

Answer:

The top option is false.

Step-by-step explanation:

Both segments have a <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>] of ⅔. It just that their ratios have unique qualities:

\frac{2}{3} = \frac{4}{6}

Greatest Common Factor: 2

___ ___

<em>BC</em><em> </em>is at a 4⁄6 slope, and <em>AB</em><em> </em>is at a ⅔ slope. Although their quantities are unique, they have the exact same value.

I am joyous to assist you anytime.

3 0
3 years ago
Tiffany is sending a package that may not exceed 16 pounds. the package contains books that weigh a total of 9 3/8 pounds. the o
babunello [35]
Yes Tiffany will be able to
5 0
2 years ago
What is the sum of a geometric sequence 1, 3, 9, ... if there are 12 terms?
attashe74 [19]
We know that
a1=1
a2=3
a3=9
a2/a1=3/1----> 3
a3/a2=9/3----> 3
<span>common ration r is equal to 3
number of terms n  is 12

The </span><span>Sum of geometric series is given by the formula
</span>Sum=a1*[1-r<span>^n]/[1-r]
</span>Sum=1*[1-3^12]/[1-3]-----> Sum=[1-3^12]/[1-3]----> [3^12-1]/[3-1]
<span>Sum=531440/2-----> 265720

the answer is
265720



</span>
4 0
3 years ago
Other questions:
  • If x varies inversely as y, and x=6 when y=72, find x when y=36
    9·1 answer
  • The areas a circle is 28.26 square centimeters. What is the circles radius
    7·1 answer
  • What is equal to 2/3
    11·1 answer
  • Please help me solve this 2 step equation problems
    13·2 answers
  • Pants are now on sale for 2 for $58.00. They are normally priced at $39.00 each. If Isabella buys 4 pants, then how much will Is
    12·1 answer
  • How to simplify exponents
    12·2 answers
  • Suppose a bus arrives at a bus stop every 35 minutes. If you arrive at a bus stop at a random time, what is the probability that
    9·2 answers
  • A rectangle has a width of w . Its length is 4 more than twice the width. what is the area
    13·1 answer
  • What percent of 50 is 20?
    12·1 answer
  • Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar. chris is playing a
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!