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mart [117]
2 years ago
14

Half a number plus 2.5 times that number equals 18. What is the number?

Mathematics
1 answer:
Sholpan [36]2 years ago
4 0

Answer:

It's 6.

Step-by-step explanation:

this was so confusing

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How does 3.71 round up to 3.7​
jeka57 [31]

Answer:

Step-by-step explanation:

cuz 7 is greater then 5

3 0
2 years ago
Antony has a net spendable income of $1,950 per month. What is the maximum recommended amount of money that he should budget for
REY [17]

The max budget for food is 17%


.17 x 1950 = 331.5


The answer is $332


Just took this test and got it right

7 0
3 years ago
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Hello! Can someone please help me with this question ? I’ll mark brainly thanks ! :)
NikAS [45]

Answer:

\Large\boxed{\text{Perpendicular Equation:} \ y = -\frac{2}{7}x + \frac{22}{7}}

\Large\boxed{\text{Parallel Equation:} \ y = \frac{7}{2}x -12}

Step-by-step explanation:

In order to find the equations that are parallel/perpendicular to the line y = \frac{7}{2}x - 4, we need to note a couple things about the relationships between lines and their parallel/perpendicular lines.

  • A) If a line is perpendicular to another, the slopes will be opposite reciprocals (for instance -2 and \frac{1}{2} - multiplied, they equal -1.)
  • B) If a line is parallel to another, they will have the exact same slope.

<h2>Perpendicular:</h2>

We know that the slope of a perpendicular line will be the the opposite reciprocal of the line we're comparing it to.

Since the slope of our base line is \frac{7}{2}, we can find the reciprocal, then the opposite of that.

  • Reciprocal of \frac{7}{2} = \frac{2}{7}
  • Opposite of \frac{2}{7} = -\frac{2}{7}

So the slope of this line will be -\frac{2}{7}, making our equation y = -\frac{2}{7}x+ b

However, y-intercepts will not stay the same. In order to find this, we can substitute the point (4, 2) into our equation to solve for b.

  • 2 = -\frac{2}{7} \cdot 4 + b
  • 2 = -\frac{8}{7} + b
  • b = 2+\frac{8}{7}
  • b = 2 \frac{8}{7}
  • b=\frac{22}{7}

Now we know the y-intercept of this equation is \frac{22}{7}. We can now finish off our equation of the line by substituting that in to what we already have,  y = -\frac{2}{7}x+ b.

y = -\frac{2}{7}x+ \frac{22}{7}

<h2>Parallel:</h2>

As mentioned earlier, parallel lines will have the exact same slope but not the same y-intercept. Since the slope of our original equation is \frac{7}{2}, the slope for this one will also be \frac{7}{2}.

So we now know the equation looks something like y = \frac{7}{2}x + b.

In order to solve for b, we apply the same logic we did in the perpendicular line and substitute in the point (4, 2) into the equation.

  • 2 = \frac{7}{2} \cdot 4 + b
  • 2 = \frac{28}{2}+b
  • 2 = 14+b
  • b = 2-14
  • b =-12

Now that we know the slope and the y-intercept, we can finish off our equation as y = \frac{7}{2}x -12.

Hope this helped!

3 0
2 years ago
Solve each system by substitution 2x + y = 20 and 6x - 5y = 12
ivolga24 [154]

\huge\mathbf{Answer࿐}

\underline{ \underline{ \bf{step} - 1}}

Taking first equation,

  • 2x + y = 20

  • y = 20 - 2x

\underline{ \underline{ \bf{step} - 2}}

plugging the value of y in second equation,

  • 6x - 5y = 12

  • 6x - 5(20 - 2x) = 12

  • 6x - 100 + 10x = 12

  • 16x = 12 + 100

  • x =  \dfrac{112}{16}

  • x = 7

\underline{ \underline{ \bf{step} -3}}

plugging the value of x in first equation,

  • 2x + y = 20

  • (2 \times 7) + y = 20

  • 14 + y = 20

  • y = 20 - 14

  • y = 6

<h2>Conclusion :</h2>

  • x = 7
  • y = 6

____________________________

\mathrm{ \#TeeNForeveR}

6 0
2 years ago
Can anyone answer 7(x+3) and show work ?
mafiozo [28]

Answer:

7x + 21

Step-by-step explanation:

7(x+3)

7x + 7(3)

7x + 21

7 0
3 years ago
Read 2 more answers
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