A teacher has asked all the students in the class which data visualizer he will use to show relationship between their scores and number of subjects. Which of the following is the best way to display the frequency of each day of the week?

In this problem, we need to find the amount of gratuity the couple will leave. The gratuity is 16% of the total bill. Before solving the problem, the following are terms and their meaning in percent problems:

• Is means equals
• Of means multiply
• What means unknown (variable)

If we let x be the amount of gratuity, then translating the given problem into a mathematical equation becomes:

So, the value of x=9.376 and to the nearest cent, x=9.38

There, a couple will leave a gratuity of $9.38.

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

In this scenario, we use the given chart and scale provided to find the number of each coin and select the right number of coins the student collected.

It is clear that the first choice if the correct answer. The child collected 250 pennies, 200 nickels, 125 dimes, and 25 quarters.

To solve this problem, first find the radius of the circle.

We asked to convert kg to pounds. There are two ways of converting between kg and pounds

And

Since we are to find pounds, we use the second option for kg to cancel

The pound equivalent of 45 kg is 99 lb.

Let's calculate the number of each color of gumball:

• Red: 20% of 120 → 0.2×120=24
• Orange: 30% of 120 → 0.3×120=36
• Yellow: 5% of 120 → 0.05×120=6
• Green: 10% of 120 → 0.1×120=12
• Blue: The remaining percentage: 100%−(20%+30%+5%+10%) = 100%−65% =35%
• So, 0.35×120=42 blue gumballs.

Now, we find how many more blue gumballs there are than yellow:

42−6=36

The net income is the salary of the teacher gets after deducting total taxes.

Weekly net income=weekly gross income-total tax

Total tax=federal income tax+state income tax+Social Security tax

Total tax=$(72.00+35.00+65.00)

Total tax=$172.00

Weekly net income=$(730.00-172.00)=$558.00

The net income the teacher gets in 4 weeks is what she gets in one week multiplied by 4

The teacher will earn a net income of $2,232.00 in 4 weeks after taxes are deducted.

The best way to visualize the student’s score for each subject is to plot them using a bar graph.

We convert the given word problem into a mathematical expression.

Let the number be x.

Thrice a number = 3x

Twelve less than thrice a number = 3x-12

Thus, the required mathematical expression is 3x-12

We usea calculator to find the product of

1.6*0.93=1.488