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GaryK [48]
3 years ago
9

What is X and A??? The have to equal the same thing, but one is multiplying and one is adding (picture)

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
6 0
X*a = 244  is equation (1)
x+a = 2    is equation (2)

Solve equation (2) for 'a' to get
x+a = 2
a = 2-x
Call this equation (3)

We will plug equation (3) into equation (1)
x*a = 244
x*(a) = 244
x*(2-x) = 244
Notice how the 'a' is replaced with an expression in terms of x

Let's solve for x
x*(2-x) = 244
2x-x^2 = 244
x^2-2x+244 = 0

If we use the discriminant formula, d = b^2 - 4ac, then we find that...
d = b^2 - 4ac
d = (-2)^2 - 4*1*244
d = -972
indicating that there are no real number solutions to the equation x^2-2x+244 = 0

So this means that 'x' and 'a' in those two original equations are non real numbers. If you haven't learned about complex numbers yet, then the answer is simply "no solution". At this point you would stop here. 

If you have learned about complex numbers, then the solution set is approximately 
{x = 1 + 15.588i, a = 1 - 15.588i}
which can be found through the quadratic formula

Note: it's possible that there's a typo somewhere in the problem that your teacher gave you. 

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A text message plan costs ​$4 per month plus ​$0.32 per text. Find the monthly cost for x text messages.
krok68 [10]

Answer:

4 + 0.32x  

Step-by-step explanation:

       0.32 = cost of one text message

     0.32x = cost of x text messages

4 + 0.32x = monthly cost of x text messages

6 0
2 years ago
Read 2 more answers
In a class of 40 students of the total number of students like to study English and of the total number of students like to stud
RUDIKE [14]

Answer:

10/100

Step-by-step explanation:

6 0
3 years ago
HELP
Yakvenalex [24]

Answer:

5. 50.3 m²

6. 113.1 cm²

7. 102.1 yards²

8.  50.3 yards²

9.  452.2 ft²

10.379.8 ft²

Step-by-step explanation:

Area of  a circle = nr²

The circumference of a circle = 2nr

n = pi = 22/7

r = radius

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

radius = diameter / 2

5. (22/7) x 4² = 50.3 m²

6.  (22/7) x 6² =113.1 cm²

7. radius = 11.4/2 = 5.7 yards

(22/7) x 5.7² =102.1 yards²

8. radius = 8/2 = 4 yards

(22/7) x 4² = 50.3 yards²

9. 2nr = 75.4 yards

2 x (22/7) x r = 75.4

to find r, divide both sides of the equation by 2 and 7/22

r = 12 ft

Area =  (22/7) x 12² = 452.2 ft²

10. 2nr = 69.1 yards

2 x (22/7) x r = 69.1

to find r, divide both sides of the equation by 2 and 7/22

r = 10.99 ft²

Area = (22/7) x 10.99² = 379.8 ft²

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

8 0
3 years ago
A square pizza box has an area of 121 in 2 What is the length of each of its sides?
Anuta_ua [19.1K]

Answer:

11 in

Step-by-step explanation:

Area of a square is L^2

where L is length.

L^2 = 121 in^2

FIND THE SQUARE ROOT OF BOTH SIDES (including in^2).

L= 11 in.

side = 11 in

Please give brainliest, like, and rate 5 stars. I hope this helps. Thank you.

6 0
3 years ago
1. The county fair charges $1.50 per ticket for the rides. Jermaine bought 20 tickets for the rides and spent a total of $48.75
MAVERICK [17]

Answer: Our variable be z for fair admission and our required linear equation will be

\$1.50x+z=\$48.75

Explanation:

Since we have given that

Cost per ticket for the rides =$1.50

Total amount she spent = $48.75

Let the total cost be y

Let the number of ride tickets be x

<u>a) Define your variable:</u>

Let the amount spent on fair admission be z

<u>b) Write a linear equation that can be used to determine the cost for ride tickets and fair admission:</u>

Our required equation will be

\$1.50x+z=\$48.75

Here, number of ride tickets = 20

So,

20\times 1.50+z=48.75\\\\30+z=48.75\\\\z=48.75-30=18.75

So, the cost for fair admission = $18.75

7 0
3 years ago
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