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2 years ago

15

The larger of 2 numbers is twice the smaller. Four more than the smaller number is the same as 6 less than the larger number. Fi

nd the two numbers.

1 answer:

mihalych1998 [28]2 years ago

6 0

Let the two numbers be 'x' and 'y'.

As given in the question,

$y = 2x$

Now,

$4 + x = y - 6$

$4 + x = 2x - 6$

$4 + 6 = 2x - x$

$10 = x$

Therefore the two numbers are:

$x = 10$

$y = 2x = 20$

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The length of a rectangle is 10cm greater than it's width,the perimeter is 70cm.find the length nd width

LuckyWell [14K]

Step-by-step explanation: TS 5 15 8 36

L = W + 10 cm

Perimeter = 2(L + W)

Perimeter = 70 = 2(W +10 +W)

70/2 = 2(W +10 +W) / 2

35 = (W +10 +W)

35 = 2W +10

35 - 10 = 2W +10 - 10

25 = 2W

25/2 = 2W/2

25/2 cm = W W = ?? cm

L = W + 10 cm

L = 25/2 + 10 cm L = ?? cm

5 0

2 years ago

manuel ate 1/3 of the crackers on a plate. his brother ate 1/4 of the crackers. there were 5 crackers left on the plate. how man

Neporo4naja [7]

Answer:

there would have been 12 crackers on the plate at the start

Step-by-step explanation:

So 1/3 +1/4 = 7/12

Therefore 5/12 left on the plate …ie 5.

So total to start with

5/5×12=12

Ans 12

5 0

2 years ago

Write a multiplication equation that has a solution of 12. Use tape diagrams to prove that your equation has a solution of 12.

natima [27]

Answer:

The required equation is 3y=36 and the tape diagram is shown below.

Step-by-step explanation:

Consider the provided information.

We need to write a multiplication equation that has a solution of 12.

3y=36

We know we have to split 36 into three equal groups, so we have to divide by 3 to show this algebraically.

3y÷3=36÷3

y=12

Now check this with the help of tape diagram as shown.

Consider the figure 1.

This represents if 36 had to be split into three groups, how big would each group be?

By the tape diagram we concluded that the value of y is 12.

5 0

2 years ago

A regular octagonal pyramid has a base edge of 3m and a lateral area of 60m^2. Find its slant height.

Olin [163]

Octagon = 8-side polygon

<u>Find area of 1 triangle:</u>
Area of one side triangle = 60 ÷ 8 = 7.5 m²

<u>Given area and length, find height:</u>
Area of each triangle = 7.6 m²
Length of each triangle = 3m

Area = 1/2 x base x height
7.5 = 1/2 x 3 x height
Heigth = 5m

Answer: Slanted Height = 5 m

4 0

2 years ago

Show your full solution

alex41 [277]

Answer:

1.the square pan is larger by 12 inches

40 cm^2

Step-by-step explanation:

The difference in size can be determined by calculating the difference between the perimeter of the square pan and the circumference of a circle

perimeter of a square = 4 x length

14 x 4 = 56 inches

Circumference of a circle = πD = (22/7) x 14 = 44 inches

Difference in size = 56 - 44 = 12 inches

Area of a rectangle = length x width

10 x 4 - 40 cm^2

3 0

3 years ago