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
Vlad1618 [11]
3 years ago
11

"Find four numbers proportional to the numbers 2, 4, 5, and 6 if the difference between the sum of the two last numbers and the

sum of the first two numbers is equal to 4.8."
Mathematics
2 answers:
Liono4ka [1.6K]3 years ago
5 0

Answer:

  1.92, 3.84, 4.8, 5.76

Step-by-step explanation:

In the given set, the sum of the last two numbers is 5+6 = 11; the sum of the first two numbers is 2+4 = 6. The difference between these sums is 11-6 = 5.

You want to scale all the numbers by a factor of 4.8/5 = 0.96 so that the difference computed the same way is 4.8 instead of 5.

Then the numbers are ...

  0.96{2, 4, 5, 6} = {1.92, 3.84, 4.8, 5.76}

Lana71 [14]3 years ago
5 0

Answer:

\boxed{\text{1.92, 3.84, 4.80, and 5.76}}

Step-by-step explanation:

The numbers  must be in the ratio 2:4:5:6.

Let's call them 2x, 4x, 5x, and 6x. Then

5x + 6x =  11x = sum of last two numbers

2x + 4x =    6x = sum of first two numbers

According to the condition,

11x – 6x = 4.8

        5x = 4.8

          x = 0.96

2x = 1.92; 4x = 3.84; 5x = 4.80; 6x = 5.76

The numbers are \boxed{\textbf{1.92, 3.84, 4.80, and 5.76}}

Check:

(4.80 + 5.76) – (1.92 + 3.84) = 4.8

     10.56       –       5.76       = 4.8

                              4.8         = 4.8

OK.

You might be interested in
Quincy is trying to estimate the height of a tree in his backyard. he measures the tree’s shadow as 12 ft. he stands near the tr
slava [35]
I believe he should add 2ft to the height of the tree as well
3 0
2 years ago
Help find perimeter and area
klio [65]

Answer: perimeter = 96mm, Area = 564mm².

Step-by-step explanation:

From the diagram, it is a trapezium, it has a rectangle joined together by a right angled triangle. Now to find the perimeter, we add all the dimensions together. To get the other side of the rectangle, which is also the perpendicular height of the figure, we take the Pythagoras. Let the perpendicular height = x

Therefore,

25² = ײ + 7²

625 = x² + 49

x² = 625 - 49

x² = 576

x. = √576

= 24.

Now the perimeter

= 20 + 25 + 7 + 20 + 24

= 96mm.

Area of the figure will be

= 1/2( a + b )h

Where a = 20, b = 20 + 7 = 27 and h = 24, now substitute for the values

( 20 + 27) x 24

---------------------

2

= 47 x 24/2

= 47 x 12

= 564mm²

8 0
3 years ago
How many different ways can you color the Olympic rings​
weqwewe [10]

Answer:

5

Step-by-step explanation:

The rings are five interlocking rings, coloured blue, yellow, black, green and red on a white field, known as the "Olympic rings". The symbol was originally created in 1913 by Coubertin.

4 0
3 years ago
3 divided by 5/6=___
timofeeve [1]
The answer would be 3.6
8 0
3 years ago
Read 2 more answers
A large jar contains a mixture of white and black beans. In a randomly chosen handful of 120 beans 40 were black. Create a 98% c
dusya [7]

Answer:

23%<x<43%

Step-by-step explanation:

The formula for calculating confidence interval is expressed;

Confidence Interval = p ± z√p(1-p)/n

n is the sample size

z is the z score at 98% confidence interval

n is the sample size = 120

z =  2.33

If in a randomly chosen handful of 120 beans 40 were black, then;

p = 40/120

p = 4/12

p = 0.33

CI = 0.33± 2.33√0.33(1-0.33)/120

CI = 0.33± [2.33√0.33(0.67)/120]

CI =  0.33± [2.33√0.2211/120]

CI = 0.33± [2.33(0.04292)]

CI = 0.33±0.100014

CI = (0.33-0.100014, 0.33+0.100014)

CI = (0.229, 0.430014)

CI = (22.9, 43.0014)

Hence 98% confidence interval for the proportion of black beans in the jar is 23%<x<43%.

6 0
2 years ago
Other questions:
  • I really need help with this question!
    7·1 answer
  • (9.75 times ten to the third power)(8.4 times ten to the negative sixth power
    13·1 answer
  • 4 of 23
    13·1 answer
  • A certain drug is made from only two ingredients: compound A and compound B. There are
    5·1 answer
  • The answer to the question # 4
    13·1 answer
  • How much will be the amount after 29 years to the nearest cent
    6·1 answer
  • Write the polynomial in standard form.<br> x^2 + 2 - 4x<br> Write the polynomial in standard form.
    5·1 answer
  • What do you get when you simplify 12/8
    9·1 answer
  • Which equation best represents the graph above?
    6·1 answer
  • What is the value of n in the equation -1/2(2n +4) + 6 = -9 + 4 (2n +1)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!