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Kamila [148]
3 years ago
7

Amanda has a salary of $1,500 per month and she divides her income in the following way: Expense Amount of Money Savings $475 Ca

r payment and Insurance $425 Phone and internet $175 Food $225 Clothes $100 Misc. $100 Which statement is true? Amanda spends 15% of her salary on food. Amanda spends 50% of her salary on savings and car payment and insurance combined. Amanda spends 10% of her salary on phone and internet. Amanda spends 5% of her salary on clothes.
Mathematics
1 answer:
Llana [10]3 years ago
7 0

Answer:

True :  Amanda spends 15% of her salary on food.

False:  Amanda spends 50% of her salary on savings and car payment and insurance combined.

False:  Amanda spends 10% of her salary on phone and internet.

False: Amanda spends 5% of her salary on clothes.

Step-by-step explanation:

The monthly salary of Amanda =   $1,500

Money Savings  =  $475 , Car payment and Insurance   = $425

Phone and internet  =  $175   , Food  =  $225  , Clothes = $100  Misc. = $100

Now, check each of the given statements:

1) Amanda spends 15% of her salary on food.

Now,15% of $1500  =  \frac{15}{100}  \times 1500 = 225

⇒ 15 % of her salary is $225.

So, the given statement is TRUE.

2) Amanda spends 50% of her salary on savings and car payment and insurance combined.

Now,50% of $1500  =  \frac{50}{100}  \times 1500 = 750

Also, combined amount of savings and car payment insurance

=  $475 + $425 = $900

But 50 % of her salary is $750.

So, the given statement is FALSE.

3)  Amanda spends 10% of her salary on phone and internet.

Now,10% of $1500  =  \frac{10}{100}  \times 1500 = 150

⇒ 10 % of her salary is $150.  But she spends $175 on phone and internet

So, the given statement is FALSE.

4)Amanda spends 5% of her salary on clothes.

Now,5% of $1500  =  \frac{5}{100}  \times 1500 = 75

⇒ 5 % of her salary is $75.  But she spends $100 on her clothes.

So, the given statement is FALSE.

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ZanzabumX [31]

The two linear equations in two variable is:

12 x + 3 y = 40

7 x - 4 y = 38

(a) For a system of equations in two Variable

a x + by = c

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It will have unique solution , when

\frac{a}{p}\neq \frac{b}{q}\neq\frac{c}{r}

As, you can see  that in the two equation Provided above

\frac{12}{7}\neq \frac{3}{-4}\neq \frac{40}{38}

So, we can say the system of equation given here has unique solution.

(b). If point (2.5, -3.4) satisfies both the equations, then it will be solution of the system of equation, otherwise not.

1. 12 x+3 y=40

2. 7 x-4 y=38

Substituting , x= 2.5 , and y= -3.4 in equation (1) and (2),

L.H.S of Equation (1)= 1 2 × 2.5 + 3 × (-3.4)

                             = 30 -10.20

                               = 19.80≠ R.H.S that is 40.

Similarly, L H S of equation (2)= 7 × (2.5) - 4 × (-3.4)

                                                  = 17.5 +13.6

                                                  = 31.1≠R HS that is 38

So, you can Write with 100 % confidence that point (2.5, -3.4) is not a solution of  this system of the equation.


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