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Serggg [28]
2 years ago
5

The Jackson family is driving from Boston to New York for a summer vacation trip. So far, they have driven 84 miles which is 40%

of the total miles of their trip. How many total miles is the Jackson’s trip from Boston to New York?
Mathematics
2 answers:
lesantik [10]2 years ago
8 0

Answer:

210

Step-by-step explanation:

just use a percentage calculator

Alekssandra [29.7K]2 years ago
3 0

The answer you are looking for is 210 miles.

To find this answer you must first make 40% into a decimal. To do so, simply divide 40 by 100. This will give you 0.4.

Next, you divide 84 by 0.4. You divide because the percentage of a number is found by multiplying said number by the decimal form of the percent. Since we arent looking for the percentage of a number, but rather the number from which the percentage came, we do the opposite operation.

84 ÷ 0.4 = 210. Thus meaning 210 miles is your answer.

I hope this helps!

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The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution. What amount of each solution do
xenn [34]

<em>Volumes of 2% Solution = </em><em>5 ml</em>

<em>Volumes of 10% Solution = </em><em>5 ml</em>

\texttt{ }

<h3>Further explanation</h3>

Simultaneous Linear Equations could be solved by using several methods such as :

  • <em>Elimination Method</em>
  • <em>Substitution Method</em>
  • <em>Graph Method</em>

If we have two linear equations with 2 variables x and y , then we need to find the value of x and y that satisfying the two equations simultaneously.

Let us tackle the problem!

\texttt{ }

<em>Let:</em>

<em>Volumes of 2% Solution = x</em>

<em>Volumes of 10% Solution = y</em>

\texttt{ }

<em>Total Volume = 10 ml</em>

\boxed{x + y = 10} → <em>Equation 1</em>

\texttt{ }

<em>The nurse needs to mix 2% solution with 10% solution to get 10 ml of the prescribed 6% solution</em>.

2 \% x + 10 \% y = 6 \% (10)

2x + 10y = 6(10)

\boxed{x + 5y = 30} → <em>Equation 2</em>

\texttt{ }

<em>Equation 1 - Equation 2:</em>

( x + y ) - ( x + 5y ) = 10 - 30

-4y = -20

y = -20 \div -4

y = 5 \texttt{ ml}

\texttt{ }

x + y = 10

x + 5 = 10

x = 5 \texttt{ ml}

\texttt{ }

<h2>Conclusion:</h2>

<em>Volumes of 2% Solution = </em><em>5 ml</em>

<em>Volumes of 10% Solution = </em><em>5 ml</em>

\texttt{ }

<h3>Learn more</h3>
  • Perimeter of Rectangle : brainly.com/question/12826246
  • Elimination Method : brainly.com/question/11233927
  • Sum of The Ages : brainly.com/question/11240586

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Simultaneous Linear Equations

Keywords: Simultaneous , Elimination , Substitution , Method , Linear , Equations

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Maria is purchasing a car whose MSRP is $22,450. She has asked for an upgrade to a premium package for which the cost is $4000.
N76 [4]
The total price of the vehicle would be $<span>20,150</span>
4 0
3 years ago
Write the equation of the line in fully simplified slope-intercept form.
Nastasia [14]

Answer:

y= \frac{5}{6} x + 4

Step-by-step explanation:

Pick two points: (-6,-10) and (0,4)

Then solve for m (slope): I picked (0,4)

m= \frac{4-(-1)}{0-(-6)} =\frac{5}{6}

Then put in slope intercept form:

4= \frac{5}{6} (0) + b

4=b

Then put in final form:

y= \frac{5}{6} x + 4

Hope this helps!

7 0
3 years ago
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