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2 years ago

1/3 of Murka’s age is twice as much as Ivan’s age. What is the ratio of Murka’s age to Ivan’s age?

1 answer:

4 0

Let these two ages be i and m. Then (1/3)m = 2i, which becomes m = 6i when we multiply both sides by 3.

Ratio:

M's age 6i
---------- = ------ = 6
I's age i

M is 6 times older than Ivan.

<span>The ratio of M's age to Ivan's is 6:1, or just 6.

</span>

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Find the length of the longest line segment that can be drawn on a rectangular board 3.07m by 2.24m

nikklg [1K]

For rectangle
l=3.07m
b=2.24m
so longest side that can be drawn is diagonal of rectangular board
=squareroot l^2+b^2
=squareroot3.07^2+2.24^2
=squareroot9.4249+5.0176
=squareroot14.4425
=3.80
So longest line that can be drawn in rectangular board is 3.80m

3 0

2 years ago

Miss Croft made snack bags for the picnic that contain three types of snacks: packages of crackers, packages of cookies, and can

jek_recluse [69]

Answer: $1.25

Step-by-step explanation:

Let the cost of cracker be a.

Let the cost of cookies be b.

Let the cost of candy bars be c.

From the question,

6a + 6b + 6c = $21

8a + 5b + 10c = $26

5a + 4b + 7c = $18.50

To solve this, we first pick any two pairs of equation. This will be:

6a + 6b + 6c = $21 ....... i

8a + 5b + 10c = $26 ....... ii

Multiply equation i by 8

Multiply equation ii by 6

48a + 48b + 48c = $168 ....... iii

48a + 30b + 60c = $156 ....... iv

Subtract equation iv from iii

18b - 12c = 12

We then pick another two pairs

8a + 5b + 10c = $26

5a + 4b + 7c = $18.50

Multiply equation i by 5

Multiply equation ii by 8

40a + 25b + 50c = $130

40a + 32b + 56c = $148

Subtract the equations

-7b - 6c = -18

Then, solve the new equations formed

18b - 12c = 12 ....... v

-7b - 6c = -18 ....... vi

Multiply equation i by -7

Multiply equation ii by 18

-126b + 84c = -84

-126b - 108c = -324

Subtract the equations

192c = 240

c = 240/129

c = $1.25

From equation v, put the value of c

18b - 12c = 12

18b - 12($1.25) = 12

18b - $15 = $12

18b = $27

b = $27/18

b = $1.5

Since,

6a + 6b + 6c = $21

6a + 6($1.5) + 6($1.25) = $21

6a + $9 + $7.5 = $21

6a + $16.5 = $21

6a = $21 - $16.5

6a = $4.5

a = $4.5/6

a = $0.75

One candy bar cost $1.25

6 0

2 years ago

A fishing club on the Restigouche River in Canada kept detailed records on the numbers of fish caught by its members between 188

MrMuchimi

Answer:a

Step-by-step explanation:

4 0

2 years ago

Javier is making a cake for a party. The recipe calls for 2 3 4 234 cups of flour, but he wants to triple the recipe. He guessed

GalinKa [24]

The correct question is
<span>Javier is making a cake for a party. The recipe calls for 2 3/4 cups of flour, but he wants to triple the recipe. He guessed and put in 7 cups of flour. How many more cups of flour should he have used?

we know that
2 3/4 cups of flour------> (2*4+3)/4----> 11/4 cups
if he </span>wants to triple the recipe------> 3*(11/4)----> 33/4 ----> 8 1/4 cups required

8 1/4-7=1 1/4 cups

the answer is
1 1/4 cups

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2 years ago

Elena makes banana bread and nut bread to sell at the market. A loaf of banana bread requires 2 cups of flour and 2 eggs. A loaf

Rainbow [258]

The answer is Elena could make 3 loaves of banana bread and 2 loaves of nut bread to maximize her profit

8 0

2 years ago

Read 2 more answers