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Angelina_Jolie [31]
2 years ago
12

You want to surround the perimeter of a garden with 35 stones. You need to place a certain number of large and small stones, and

for every large stone, you want to use 4 small stones. Choose the correct equation to find the number of stones for each size. Then solve the equation.
A. x + 4x = 35; 7 large stones and 28 small stones
B. x + 5x = 35; 7 large stones and 28 small stones
C. x + 4 = 35; 4 large stones and 31 small stones
D. 4x = 35 + x; 12 large stones and 23 small stones
Mathematics
1 answer:
coldgirl [10]2 years ago
5 0

Answer:

You will need 7 large and 28 small stones.

Step-by-step explanation:

x = the number of large stones

y = the number of small stones

x + y = 35

for every large stone, you want to use 4 small stones:

y = 4x

by solving the system of equations:

x + y = 35

y = 4x

we find:

x = 7 large stones

y = 28 small stones

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11. In a certain town the ratio of the number of cars to that of taxis is 15:4. If
Bess [88]

Answer: 645 cars

Step-by-step explanation:

Divide 172 by 4 to find the multiple which is 43 so if 4 was multiplied by 43 to get 172 taxis you must multiply 15 by 43 which gives 645

4 0
2 years ago
Read 2 more answers
A scale drawing of a rectangular park is 5 inches wide and 7 inches ong. The actal prake is 280 yards long. What is the area of
Roman55 [17]

Given:

A scale drawing of a rectangular park is 5 inches wide and 7 inches long.

The actual park is 280 yards long.

To find:

The area of the actual park.

Solution:

Length of drawing = 7 inches

Length of actual park = 280 yards

The scale factor is

7 inches : 280 yards

1 inches : 40 yards

The width of the drawing is 5 inches. So, the width of actual part is

40\times 5=200 yards

The area of the actual park is

Area=Length \times width

Area=280\times 200

Area=56000

Therefore, the area of the actual park is 56000 sq. yards.

7 0
2 years ago
In the following alphanumeric series, what letter comes next? V Q M J H
Daniel [21]
Hola mate

here is your answer

Heyyyy dude

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5 0
2 years ago
Copy and complete each table.
LUCKY_DIMON [66]

Answer:

5th term of sequence = -18

nth term of the sequence = -5n + 7

Step-by-step explanation:

Difference between successive and previous term of the output,

T_{2}-T_{1} = -3 - 2

           = -5

Similarly, T_{3}-T_{2}=-8-(-3)

                            = -5

There is a common difference 'd' = (-5)

Therefore, the sequence formed will be an arithmetic sequence.

First term of the sequence 'a' = 2

Explicit formula of an arithmetic sequence, T_{n} = a + (n - 1)d  [n = input value]

T_{n} = 2 + (n - 1)(-5)

    = 2 - 5n + 5

    = -5n + 7

5th term of this sequence,

T_{5}=2+(5-1)(-5)

    = 2 - 20

    = -18

Therefore, 5th term of sequence = -18

                  nth term of the sequence = -5n + 7

3 0
2 years ago
Katya and her friends stand in a circle. It turns out that both neighbors of each child are of the same gender. If there are fiv
zalisa [80]

Answer:

We are known that Katya and her friends stand in a circle and both neighbors are of same gender this means that the person on the right and the person on the left of anyone in the circle will be of same gender either a girl or a boy.

We are given that there are five boys, we could have considered the circle to be only composed of boys but we are given there is a girl Katya within it and it is also mentioned that 'Katya and her friends' that means there can be more girls in the circle.

Now when we draw a circle on a page and mark points K for Katya and boys B1 and B2 on right and on the left of Katya we will get to know that after each boy there has to be a space vacant because on that space a girl should be positioned only then we will meet the criteria of both gender's same on the neighbor side of each person.

Also we will mark boys B1,B2,B3,B4,B5 as five boys and leave space vacant for girls and with those vacant spaces we get to know there will be 4 vacant spaces and one is Katya herself.

Therefore there will be a total of five girls in the circle one is Katya and other four.

4 0
1 year ago
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