Jacob has $100. She spends 87% of the money. She then invests the remaining amount and earns a profit of 75%. How much money does she now have?

 

correlations fall into positive, negative, and no correlation. A positive correlation shows that an increase in one variable increase results in an increase on the other variable increases as shown.

A negative correlation scatter plot shows that an increase in one variable results in a decrease on the other one.

The no-correlation scatter plot demonstrates that there is no response between variables. A change in one variable has no effect on the other variable.

Looking at the provided scatter plot, the heights of the students does not have any relationship on the students’ scores. Thus, the type of correlation is no correlation.

Before we compare the values of the options, we convert the decimals to fractions.

5.4 becomes 54/10

6.25 becomes 625/100

Thus, the set of fractions is 11/2, 54/10, 13/3, 625/100. The least common denominator for 2, 10, 3, and 100 is 300, which we use to compare each options given.

11/2*300=1650

54/10*300=1620

13/3*300=1300

625/100*300=1875

From the above, 1875 is the greatest value which corresponds to 6.25. Therefore, 6.25 is the greatest value of all the choices given.

We are needed to find the amount Jacob will be left with after spending and reinvesting the rest using the given information.

Amount Jacob spends=87% of $100=87/100*100=$87

Amount left to invest=$(100-87)=$13

Jacob is left with $13, which she invests and earns a profit of 75%.

Profit earned on invested amount=75% of $13=75/100*13=$9.75

So, Jacob will have $13+$9.75=$22.75

We need to find how many mL are in 5.5 teaspoons. We are told that 1 teaspoon is about 4.93 mL, which we interpret as follows:

Or

Since we are looking for mL, we use the second option.

Thus, 5.5 teaspoons can hold approximately 27 mL.

: the question requires we find the cost of four syringes.

If we let x be the cost of four syringes, then we set up a proportion equation with cost as numerator and number of syringes as denominator. The proportion equation becomes

Cross-multiply to solve for x

Rearranging the above

Divide both sides of the equation by 55

Thus, the cost of 4 syringes is $48.

To solve the equation this equation, we use a calculator and find the product as:

3.45 * 0.53= 1.8285

An independent variable is a variable that when changed result in a change to other variables under investigation. From the given scenario, if the stock of the company increases, then the production, sales, and investment increase. Therefore, stock is the independent variable while other variables are dependent.

We follow the order operations to solve for the unknown value of x.

3(2x+5)=11x+5

Open the bracket on the LHS by multiplying each term by 3

(3*2x)+(3*5)=11x+5

6x+15=11x+5

Subtract 15 from both sides

6x+15-15=11x+5-15

6x=11x-10

Subtract 11x on both sides

6x-11x=11x-11x-10

-5x=-10

Divide both sides by -5

-5x/-5=-10/-5

x= 2

Thus, the value of unknown value of x is 2.

: a ratio can be thought of a fraction of the form a/b, where b is not equal to zero. In ratio form, to means per.

Now, the class has 26 girls and 22 boys. Thus, the ratio of girls to boys becomes:

The fraction above reduces into

In ratio form, girls: boys=13:11

Thus, the ratio of girls to boys in a class of 48 students is 13 to 11.

Looking at the give curve, we analyze each statement as:

• For statement 1: the points per game decreased five times between 1996 and 2015. So, the statement is false.
• For statement 2: the lowest points scored per game was in 1998-99 season and not in 2003-04 season. So, the statement is false.
• For statement 3: 2008-09 was the season the chargers scored the greatest number of points per game. So, this statement is false.
• For statement 4: the two season which no change in the points were 2012-13 and 2013-14. So this is true according to given curve.