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julsineya [31]
2 years ago
9

If 139 is added to a number, the result is 44 less than four times the number. Find the number. Step 1 of 2: Use the variable x

to set up an equation to solve the given problem. Set up the equation, but do not take steps to solve it.​
Mathematics
1 answer:
lorasvet [3.4K]2 years ago
4 0

Answer:

73

Step-by-step explanation:

let the number = X

If 139 is added, it becomes= X +139

the result becomes 44less than four time the number

= 4(39)-44 = 156-44 =112

the set up equation becomes

X +39 = 112

solving for the value of X

X = 112-39

X = 73

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B

Step-by-step explanation:

f(x) = 2x + 3

f(x) = 2*3 + 3

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8 0
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∠A and \angle B∠B are vertical angles. If m\angle A=(7x-8)
Anika [276]

Answer:

x=25

Step-by-step explanation:

We know vertical angles are equal

<A = <B

7x-8 = 6x+17

Subtract 6x from each side

7x-6x-8 = 6x-6x+17

x-8 = 17

Add 8 to each side

x-8+8 = 17+8

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5 0
3 years ago
if y is directly proportional to x when x = 4 and y = -2, write an equation to model the given relationship. What is x if y = -2
hoa [83]

Direct proportion equations have the following form:

y=kx

Where "k" is the Constant of proportionality.

In this case you know that "y" is directly proportional to "x" and when:

x=4;y=-2

Having these values, you can substitute them into the equation and solve for "k":

\begin{gathered} -2=k(4) \\ \frac{-2}{4}=k \\ k=-\frac{1}{2} \end{gathered}

So, substituting the value of "k" into the first equation shown above, you get that the equation that models the given relationship is:

y=-\frac{1}{2}x

Now, to find the value of "x", when the value of "y" is -24, you must substitute this value into the equation that models the relationship and then solve for "x". Then, you get:

\begin{gathered} -24=-\frac{1}{2}x \\ (-24)(-2)=x \\ x=48 \end{gathered}

Therefore, the answers are:

\begin{gathered} y=-\frac{1}{2}x \\  \\ x=48 \end{gathered}

3 0
1 year ago
A cable company uses the formula S = 20,000 (1 + 0.08)^y to estimate the number of subscribers, S, that use their service after
STatiana [176]

Answer:

the expression above is

y = Subscribers after time t = S

a = Initial Subscribers =20,000

r = Growth rate = 0.08 = 8%

t = time in years = y

Step-by-step explanation:

A cable company uses the formula S = 20,000 (1 + 0.08)^y to estimate the number of subscribers, S, that use their service after y years. If there were 20,000 cable television subscribers when the cable company began, what is the meaning of the expression (1 + 0.008) ^y?

The above question represents Exponential growth

Exponential growth formula =

y = a( 1 + r) ^t

Where:

y = Population after time t

a = Initial Population

r = Growth rate

t = time in years

S = 20,000 (1 + 0.08)^y

Hence, the expression above is

y = Subscribers after time t = S

a = Initial Subscribers =20,000

r = Growth rate = 0.08 = 8%

t = time in years = y

3 0
3 years ago
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