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Ad libitum [116K]
3 years ago
10

If 1/2 a number is 5 more than 1/7 of that number, what is the number?​

Mathematics
1 answer:
Burka [1]3 years ago
4 0

Answer:

14

Step-by-step explanation:

1/2x = 1/7x + 5

1/2x - 1/7x = 5

7/14x - 2/14x = 5

5/14x = 5

x = 5 * 14/5

x = 14

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2) The coordinates of the vertices of quadrilateral ABCD are A(-1,8),
Verizon [17]

Answer:

The coordinates of vertices of A'B'C'D' are:

A'(1,-8), B'(0,-4), C'(2,-1) and D'(4,-3)

Step-by-step explanation:

When a point (h,k) is roated 180 degrees about the origin it becomes (-h,-k) which means that the new point after rotation is the negative of the previous.

Given vertices are:

A(-1,8),  B(0,4), C(-2,1), and D(-4,3)

The new vertices will be:

A(-1,8) => A'(1,-8)\\B(0,4)=> B'(0,-4)\\C(-2,1)=> C'(2,-1)\\D(-4,3)=> D'(4,-3)

The coordinates of vertices of A'B'C'D' are:

A'(1,-8), B'(0,-4), C'(2,-1) and D'(4,-3)

3 0
3 years ago
A recipe for oatmeal raisin cookies call for 1 2/3 cups of flour to make 4 dozen cookies. How many cups of flour are needed to m
kicyunya [14]
It would take about 2 1/2 to make six dozens
7 0
3 years ago
The length of rectangle is 5 cm greater than its width. The perimeter is 106cm. Find the dimensions of the rectangle.
antiseptic1488 [7]

Width-24 Length-29

Two sides of the rectangle are 5 cm bigger than the other two. So you would add the two 5 cm together (10cm). If you take the 10 cm off you (106-10) you will get a square. Then all you have to do is divide 96 by 4 (24), and add back on the two 5cm from the beginning to the length (29).

4 0
3 years ago
Patrick is keeping track of how far he jogs each morning.
katrin2010 [14]

Answer:

21:50

Step-by-step explanation:

We need to find the ratio of 420 m to 1 km.

We know that,

1 km = 1000 m

So,

The ratio becomes,

\dfrac{420\ m}{1\ km}=\dfrac{420\ m}{1000\ m}\\\\=\dfrac{42\ m}{100\ m}\\\\=\dfrac{21}{50}

So, the required ratio is 21:50.

5 0
3 years ago
There are 6 squares and 2 circles. What is the simplest ratio of circles to total shapes?
Sunny_sXe [5.5K]

Add to find the total number of shapes.

6 + 2 = 8

Circles to total amount of shapes -> 2:8

Divide 2 to both sides.

2/2:8/2

1:4

Therefore, the answer is 1:4

Best of Luck!

4 0
3 years ago
Read 2 more answers
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