1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
olasank [31]
3 years ago
14

1239 = 94m + b 810 = 61m + b

Mathematics
1 answer:
Tresset [83]3 years ago
4 0

Answer:

The values are

m = 13

b = 17

Step-by-step explanation:

1239 = 94m + b ------eqn 1

810 = 61m + b -----------eqn 2

Let's take eqn 1, let's make b the subject of the formula

1239 - 94m = b

Since b = 1239 - 94m

Insert the value of b into the eqn 2

810 = 61m + (1239 - 94m)

810 = 61m + 1239 - 94m

Collect like terms

810 = 61m - 94m + 1239

810 = - 33m + 1239

810 - 1239 = - 33m

- 429 = - 33m

The minus sign cancels each other

Making m the subject

m = 429 / 33

m = 13

Since we've gotten the value for m, insert the value of m= 13 into the eqn 1

1239 = 94m + b

m = 13

1239 = 94 (13) + b

1239 = 1222 + b

1239 - 1222 = b

17 = b

b = 17

m = 13

b = 17

You might be interested in
The sum of 3 consecutive even numbers is 132
pantera1 [17]
It is 42,44, and 46. If you add them all together you get 132 :)
3 0
4 years ago
Kala purchased a prepaid phone card for $15. Long distance calls cost $12 a minute using this card. Kala Use her card only once
irina [24]

Kala call lasted for 0.36 minutes

<em><u>Solution:</u></em>

Given that Kala purchased a prepaid phone card for $15

Long distance calls cost $12 a minute using this card.

If the remaining credit on her card is $10.68

To find: Number of minutes her call lasted

Let "x" be the number of minutes her call lasted

Cost of 1 minute = $ 12

Total balance = $15

Remaining balance = $ 10.68

So we can frame a equation as:

Total balance = Remaining balance + Cost of 1 minute x number of minutes her call lasted

15 = 10.68 + 12 \times x\\\\15 - 10.68 = 12x\\\\4.32 = 12x\\\\x = 0.36

So her call lasted for 0.36 minutes

4 0
3 years ago
Which rate can you set 7 miles/1 hour equal to in order to find the distance traveled in 49 hours at 7 miles per hour?
Sergeu [11.5K]

Answer:

you will have traveled 363 miles

Step-by-step explanation:

7 times 49

  49

    7

____

 363

7 0
4 years ago
Read 2 more answers
Sin^2(x/2)=sin^2x <br> Find the value of x
Veronika [31]
\sin^2\dfrac x2=\sin^2x
\dfrac{1-\cos x}2=1-\cos^2x
1-\cos x=2-2\cos^2x
2\cos^2x-\cos x-1=0
(2\cos x+1)(\cos x-1)=0
\implies\begin{cases}2\cos x+1=0\\\cos x-1=0\end{cases}\implies\begin{cases}\cos x=-\frac12\\\cos x=1\end{cases}

The first case occurs in 0\le x for x=\dfrac{2\pi}3 and x=\dfrac{4\pi}3. Extending the domain to account for all real x, we have this happening for x=\dfrac{2\pi}3+2n\pi and \dfrac{4\pi}3+2n\pi, where n\in\mathbb Z.

The second case occurs in 0\le x when x=0, and extending to all reals we have x=2n\pi for n\in\mathbb Z, i.e. any even multiple of \pi.
6 0
4 years ago
50 POINTS
Alexus [3.1K]

Answer:

105

Step-by-step explanation:

180-75=105

4 0
3 years ago
Read 2 more answers
Other questions:
  • 3/4 + 2/4 adding fractions with different denominators
    5·1 answer
  • A train leaves a station at 10:42 a.m. and arrives at its destination at 1:22 p.m. Find the distance between the stations if the
    12·2 answers
  • Alec's total payment for his loan was $19,440. What was his monthly payment if he paid it off after making 60 monthly payments?
    5·2 answers
  • Complete the multiplication: 2EA
    15·2 answers
  • What is the arc length of an angle of 2π 3 radians formed on the unit circle? A) π 3 B) 2π 3 C) 4π 3 D) 5π 3
    8·2 answers
  • What is 1745÷8 equals
    12·2 answers
  • What is the simplified expression for the expression below?<br>-3 (5x+20) - 1/4(4x-28)​
    8·1 answer
  • Help meee will mark brainliest ​
    11·1 answer
  • T = (F^3 + G)a <br> Find a
    11·1 answer
  • Please solve with explanation
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!