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3 years ago

Two numbers have a product of 48 and a sum of 19. What are the numbers??

Mathematics

2 answers:

Elis [28]3 years ago

5 0

16 * 3 = 48

and

16 + 3 = 19

notka56 [123]3 years ago

4 0

So 16 × 3 has a product of 48 And 16 +3 has a sum of 19 So 16 and 3 are the numbers

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The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?

Snezhnost [94]

Answer:

There are two possibilities:

$x_{1} = 3.5$ and $y_{1} = 6.4$

$x_{2} = 6.4$ and $y_{2} = 3.5$

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

$x + y = 9.9$

$x^{2} + y^{2} = 53.21$

First, $x$ is cleared in the first equation:

$x = 9.9 - y$

Now, the variable is substituted in the second one:

$(9.9-y)^{2} + y^{2} = 53.21$

And some algebra is done in order to simplify the expression:

$98.01-19.8\cdot y +2\cdot y^{2} = 53.21$

$2\cdot y^{2} -19.8\cdot y +44.8 = 0$

Roots are found by means of the General Equation for Second-Order Polynomials:

$y_{1} \approx \frac{32}{5}$ and $y_{2} \approx \frac{7}{2}$

There are two different values for $x$ :

$y = y_{1}$

$x_{1} = 9.9-6.4$

$x_{1} = 3.5$

$y = y_{2}$

$x_{2} = 9.9 - 3.5$

$x_{2} = 6.4$

There are two possibilities:

$x_{1} = 3.5$ and $y_{1} = 6.4$

$x_{2} = 6.4$ and $y_{2} = 3.5$

5 0

2 years ago

3. Define a variable, write an equation, and solve the problem. Carla began a

faust18 [17]

Answer:

Carla has been running 7 miles each day for 13 days.

Step-by-step explanation:

Carla ran 3 miles on her first day, 5 miles on her second day and then 7 miles each day onward.

Let the number of days she ran 7 miles each day = x

Total distance run by Carla = 3 + 5 + 7(x)

= 8 + 7x

If her log book shows that she has run total distance = 99 miles

Equation representing her total run will be,

8 + 7x = 99

7x = 99 - 8

7x = 91

x = $\frac{91}{7}$

x = 13 days

Therefore, Carla has been running 7 miles each day for 13 days.

3 0

3 years ago

Lindsay says all numbers that are multiples of 4 have 2 as a factor. Is lindsay correct?

m_a_m_a [10]

Answer:

Yes

Step-by-step explanation:

Let's take any random multiple of 4 as an example:

8 = 2 • 4

64 = 2 • 32

20 = 2 • 10

Try any multiple of 4—this pattern continues.

7 0

3 years ago

I’m confused please help

Law Incorporation [45]

So x equals 30 because u did 180-150 and y is also 30 since you found x you then add 90 plus 30 and it will give u 120 then 180 minus 120 will be 60 then 90 - 60 because u are trying to find y, and u will get 30.

3 0

3 years ago

Anna's toy car traveled 0.7 meters. Hector's toy car traveled 0.72 meters. Whose car traveled farther? Select from the drop-down

alexandr402 [8]

Answer:

When you do adding and subtracting with decimals just line up the decimal points and do the math regularly

0.72

-0.7

_____

0.02 meters further so Hector's car traveled farther

0.6

+0.25

_____

0.85 swam in total

Hope this helps

Step-by-step explanation:

3 0

3 years ago