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2 years ago

4/7 = 16/x what is the missing number

Mathematics

2 answers:

Stels [109]2 years ago

6 0

Easy you multiply 4 times 7 which equals 28 so the answer is 4/7=16/28

podryga [215]2 years ago

3 0

28 because

as long as you multiply both the top and bottom of the fraction, the result is equivalent.

if you multiply the top (numerator) which is 4 and the bottom (denominator) which is 7 of 4/7 then you get 16/28

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The solutions of x² = 16x - 28 are 1) -2 and -14 2) 2 and 14 3) -4 and -7 4) 4 and 7

Allisa [31]

2 and 14
hope this helps

6 0

3 years ago

Find the distance between Point A (9, -3) and Point B (16, 7), correct to 2 decimal places.

sleet_krkn [62]

Answer:

8.06

Step-by-step explanation:

use distance formula

5 0

3 years ago

How many solutions do these equations have y= 3x+4 y+6=3x

Nataly [62]

Answer:

Step-by-step explanation:

hello :

the system is : y= 3x+4....(*)

y+6=3x....(**)

by (**) : y = 3x - 6

so : y= 3x+4

y= 3x - 6

means : 3x+4 = 3x - 6

4= -6.......(false)

conclusion : no reals solutions

5 0

2 years ago

Thе іmagе оf (-2, 5) is (1, 1).

dem82 [27]

Answer:

(6, -2)

Step-by-step explanation:

To get to x=1 from x=-2, you must add 3 to the x-coordinate. Only one answer choice has an x-coordinate that is 3 more than that of the given point:

3 + 3 = 6

The image point is (6, -2).

_____

Check

To get from a y-coordinate of 5 to an image point y-coordinate of 1, you must subtract 4. If you subtract 4 from the y-coordinate of (3, 2), you get 2-4 = -2, the y-coordinate in the chosen answer above.

8 0

3 years ago

Ann is adding water to a swimming pool at a constant rate. The table below shows the amount of water in the pool after different

N76 [4]

Answer:

(a) As time increases, the amount of water in the pool increases.

11 gallons per minute

(b) 65 gallons

Step-by-step explanation:

From inspection of the table, we can see that as time increases, the amount of water in the pool increases.

We are told that Ann adds water at a constant rate. Therefore, this can be modeled as a linear function.

The rate at which the water is increasing is the rate of change (which is also the slope of a linear function).

Choose 2 ordered pairs from the table:

$\textsf{let}\:(x_1,y_1)=(8, 153)$

$\textsf{let}\:(x_2,y_2)=(12,197)$

Input these into the slope formula:

$\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{197-153}{12-8}=\dfrac{44}{4}=11$

Therefore, the rate at which the water in the pool is increasing is:

11 gallons per minute

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

$y-y_1=m(x-x_1)$