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3 years ago

Please I need help with this problem

Mathematics

1 answer:

DochEvi [55]3 years ago

4 0

Answer: shorter: 24 longer: 41

Step-by-step explanation: we need to write an equation. x+(2x-7)=65. We don’t need the parentheses, but I put them so it would make it a bit more clear. Simplify: 3x-7=65. Add 7 to both sides: 3x=72. Divide by three: 72/3=24 Now we know the shorter piece is 24. 24x2-7=48-7=41. We know these are correct because 24+41=65

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Riverside Elementary School is holding a school-wide election to choose a school color. 5/8 of the voters were for blue 5/9 of t

padilas [110]

Answer:

There were 180 voters for blue color.

Step-by-step explanation:

Let the total number of voters be 'x'.

Given:

Number of Voters for blue color = $\frac{5}{8}x$

Number of Voters for green color = $\frac{5}{9}(x-\frac58x)=\frac59x(1-\frac58)$

Now we will use LCM to make the denominator common we get;

Number of Voters for green color = $\frac59x(\frac88-\frac58)=\frac59x(\frac{8-5}{9})=\frac59x(\frac38)=\frac{15x}{72}$

Number of Voters for red color = 48

We need to find the number of voters for blue color.

Solution:

Now we can say that;

total number of voters is equal to sum of Number of Voters for blue color, Number of Voters for green color and Number of Voters for red color.

framing in equation form we get;

$x=\frac58x+\frac{15x}{72}+48$

Combining like terms we get;

$x-\frac58x-\frac{15x}{72} = 48$

Now we will make denominators common using LCM we get;

$\frac{72x}{72}-\frac{5x\times9}{8\times9}-\frac{15x\times1}{72\times 1} = 48\\\\\frac{72x}{72}-\frac{45x}{72}-\frac{15x}{72} = 48$

Now denominators are common so we will solve the numerators we get;

$\frac{72x-45x-15x}{72}=48\\\\\frac{12x}{72}=48\\\\\frac{x}{6}=48$

Now multiplying both side by 6 we get;

$\frac{1}{6}x\times6=48\times6\\\\x = 288$

Number of voters for blue color = $\frac{5}{8}x=\frac{5}{8}\times 288= 180$

Hence There were 180 voters for blue color.

4 0

3 years ago

The first- and second-year enrollment values for a technical school are shown in the table below: Enrollment at a Technical Scho

lyudmila [28]

Answer:

The solution to f(x) = s(x) is x = 2012.

Explanation:

Rewrite the table and the choices for better understanding:

Enrollment at a Technical School

Year (x) First Year f(x) Second Year s(x)

2009 785 756

2010 740 785

2011 690 710

2012 732 732

2013 781 755

Which of the following statements is true based on the data in the table?

The solution to f(x) = s(x) is x = 2012.

The solution to f(x) = s(x) is x = 732.

The solution to f(x) = s(x) is x = 2011.

The solution to f(x) = s(x) is x = 710.

<h2>Solution</h2>

The question requires to find which of the options represents the solution to f(x) = s(x).

That means that you must find the year (value of x) for which the two functions, the enrollment the first year, f(x), and the enrollment the second year s(x), are equal.

The table shows that the values of f(x) and s(x) are equal to 732 (students enrolled) in the year 2012, x = 2012.

Thus, the correct choice is the third one:

The solution to f(x) = s(x) is x = 2012.

5 0

3 years ago

Help please!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

DedPeter [7]

Answer:

548.80

Step-by-step explanation:

$506.98 * 8.25%=

6 0

3 years ago

Read 2 more answers

Which angle(s) is Julian describing?

Crank

I’m sorry I can’t help you, i would need more information

6 0

3 years ago

If h(x)=x-7 and g(x)=x^2, witch expresión is equivalent to(g*h)(5)?

Firdavs [7]

Answer: 4

Step-by-step explanation:

(g*h)(5) = 4

Firstly, h(5) = 5 - 7 = -2

Then, evaluate g(-2) = (-2)^2 = 4

8 0

3 years ago