All categories

3 years ago

Please, I need help with this question

Mathematics

2 answers:

Yuri [45]3 years ago

8 0

Answer: See the table below (attached image)

Row 1: 2, 3, 5
Row 2: 6, 9, 15
Row 3: 8, 12, 20
Row 4: 12, 18, 30
Row 5: 14, 21, 35
Row 6: 16, 24, 40
Row 7: 20, 30, 50
Row 8: 28, 42, 70

Values in bold are the missing numbers to put into the boxes in the order shown.

====================================================

Explanation:

Each row is generated by using the original row 1. We can multiply every value in row 1 by the same positive whole number.

To get row 2, we multiply everything in row 1 by the value 3

We have 2 cups of red paint turn into 2*3 = 6 cups
Then we have 3 cups of yellow turn into 3*3 = 9 cups
Finally, 5 cups total turn into 5*3 = 15

So that explains why 9 and 15 go in the missing boxes for row 2. Note how 6+9 = 15. The first two columns always add to the third column value.

The other rows are generated in a similar fashion.

So we have...

For row 3, we multiply every value in row 1 by the number 4
For row 4, we multiply every value in row 1 by the number 6
For row 5, we multiply every value in row 1 by the number 7
For row 6, we multiply every value in row 1 by the number 8
For row 7, we multiply every value in row 1 by the number 10
For row 8, we multiply every value in row 1 by the number 14

If you're not sure what to multiply by, pick a value that's already given in the row in question, and divide it over its corresponding counterpart in row 1.

For instance, let's say we have no idea what to multiply by for row 8. We're given that 42 is in the middle of this row. Divide this over the corresponding middle value in row 1 to get 42/3 = 14. So 14 is our multiplier here. The same idea applies to any other row.

See the table below for the filled in values.

OLEGan [10]3 years ago

4 0

Answer:

the answer is in the picture I sent hope it helps my answer is like the other people .

You might be interested in

1 question 60 points need help now

kkurt [141]

Answer:

The answer to your question is x = 0 and x = 1

Step-by-step explanation:

Equation

$\frac{x}{x - 2} + \frac{x - 1}{x + 1} = -1$

$\frac{x(x + 1) + (x - 2)(x - 1)}{(x - 2)(x + 1)} = - 1$

Expand

2) x² + x + x² - x - 2x + 2 = -1(x - 2)(x + 1)

Simplify

3) 2x² -2x + 2 = -1(x² + x - 2x - 2)

4) 2x² - 2x + 2 = -x² + x + 2

Equal to zero

5) 2x² - 2x + 2 + x² - x - 2 = 0

6) 3x² - 3x = 0

Factor

7) 3x(x - 1) = 0

8) 3x₁ = 0 x₂ - 1 = 0

9) x₁ = 0/3 x₂ = 1

10) x₁ = 0 x₂ = 1

4 0

4 years ago

Nima uses 2/3 cup peanuts, 1/2 cup cashews, 3/4 cups pecans, and some raisinsin a recipe that makes 2 1/4 cups of trail mix. How

Lesechka [4]

Answer:

8/27 cups

Step-by-step explanation:

Nima uses 2/3 cups of peanuts to make a recipe of 2 1/4 = 9/4 cups of trail mix. If we want to find how many cups of peanuts are there per cup of trail mix, we can do a rule of three:

If 9/4 cups of trail mix need 2/3 cups of peanuts, 1 cup of trail mix need X cups of peanuts:

9/4 cups of trail mix -> 2/3 cups of peanuts

1 cup of trail mix -> X cups of peanuts

9/4 / 1 = 2/3 / X

9/4 = 2/(3*X)

3*X*9 = 4*2

27*X = 8

X = 8/27 cups

7 0

3 years ago

A ship leaves port at 10 miles per hour, with a heading of N 35° W. There is a warning buoy located 5 miles directly north of th

Leno4ka [110]

The value of the angle subtended by the distance of the buoy from the

port is given by sine and cosine rule.

The bearing of the buoy from the is approximately 307.35°

Reasons:

Location from which the ship sails = Port

The speed of the ship = 10 mph

Direction of the ship = N35°W

Location of the warning buoy = 5 miles north of the port

Required: The bearing of the warning buoy from the ship after 7.5 hours.

Solution:

The distance travelled by the ship = 7.5 hours × 10 mph = 75 miles

By cosine rule, we have;

a² = b² + c² - 2·b·c·cos(A)

Where;

a = The distance between the ship and the buoy

b = The distance between the ship and the port = 75 miles

c = The distance between the buoy and the port = 5 miles

Angle ∠A = The angle between the ship and the buoy = The bearing of the ship = 35°

Which gives;

a = √(75² + 5² - 2 × 75 × 5 × cos(35°))

By sine rule, we have;

$\displaystyle \frac{a}{sin(A)} = \mathbf{ \frac{b}{sin(B)}}$

Therefore;

$\displaystyle sin(B)= \frac{b \cdot sin(A)}{a}$

Which gives;

$\displaystyle sin(B) = \mathbf{\frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }}$

$\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx 37.32^{\circ}$

Similarly, we can get;

$\displaystyle B = arcsin\left( \frac{75 \cdot sin(35^{\circ})}{\sqrt{75^2 + 5^2 - 2 \times 75\times5\times cos(35^{\circ}) } }\right) \approx \mathbf{ 142.68^{\circ}}$