MATHEMATICS HIGH SCHOOL

When their report cards came back, Pete, Chris, and Dina realized that the number of A's they each received was in the ratio 4:2:5. If Pete got 14 more A's than Chris, how many A's did Dina get?

Answers

Answer 1

Answer:

Answer:

The number of A's Dina got = 5/11 × 77 = 385/11 = 35

Step-by-step explanation:

The number of A's Pete , Chris and Dina received are in the ratio of 4:2:5.

Let the total number of A's = y

Total from ratio = 4 + 2 + 5 = 11

chris A's = 2/11 × y

pete's A's = 2/11 × y + 14 = 4/11 × y

pete's A's

2/11 y + 14 = 4/11 y

14 = 4/11 (y) - 2/11 (y)

14 = 2/11 (y)

cross multiply

2y = 14 × 11

divide both sides by 2

y = 154/2

y = 77

Total number of A's = 77

The number of A's Dina got = 5/11 × 77 = 385/11 = 35

Answer 2

Answer:

Answer:

Step-by-step explanation:

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Solve for the indicated variable X/y=x-8 for x

Answers

Answer:

Therefore, the solution for x in terms of X and y is:

x = (X + 8y) / y

Step-by-step explanation:

To solve for x in the equation X/y = x - 8, we need to isolate x on one side of the equation.

Step 1: Multiply both sides of the equation by y to eliminate the denominator on the left side:

X/y * y = (x - 8) * y

Simplifying, we have:

X = xy - 8y

Step 2: Add 8y to both sides of the equation to isolate the term with x:

X + 8y = xy

Step 3: Rearrange the terms to have x on one side:

xy = X + 8y

Step 4: Divide both sides of the equation by y to solve for x:

x = (X + 8y) / y

The ticket price for the ice hockey match was £14.50. The price has increased by 7%. How much is a ticket after the increase?

Answers

7%= $\frac {7}{100}$ = 0.07
14.5 × 0.07 = 1.015
Add this number to the original:
14.5+1.015 = £15.515

There is another way, whenever they give us an increased Percentage, they provide us with a hint!
we add that increased percent to 100
100+7=107%
107%= $(107)/(100)$ = 1.07
14.5×1.07= £15.515, it can also be rounded to 15.52
£15.515≈£15.52

A newborn baby's weight is recorded each month, from the day of birth until 12 months. one baby's weights, in pounds, are recorded below: 7.20, 9.15, 11.01, 12.56, 14.04, 15.43, 16.52, 17.68, 18.77, 19.69, 20.22, 21.05, 21.90 what is the average amount of monthly weight gain, rounded to the nearest hundredth of a pound, each month? a. 1.13
b. 15.79
c. 1.23
d. 16.52

Answers

Answer:

15.79

Step-by-step explanation:

To find the average amount of monthly weight gain, we need to find the average first.

Average is defined as the sum of the values (in our case value of weight in each month) and that sum divided by the number of values (in our case it is the number of months).

Finding the average:

$A=(7.20+9.15+11.01+12.56+14.04+15.43+16.52+17.68+18.77+19.69+20.22+21.05+21.90)/(13)$

Since there are 13 values so we sum up all the values and divided by the number of values.

$A=(205.22)/(13)=15.786\approx15.79$

When rounded to the nearest hundredth of a pound we get 15.79 pounds.

How do I solve f(x)=-0.1x^2+3.2x-3.5

Answers

Convert into Slope-Intercept Form--------------------------->y= −0.1x^2 + 3.2x − 3.5

Order the following units of capacity from least to greatest:gallon,pint,cup,quart

Answers

The order of the given units from least to greatest is

cup < pint < quart < gallon

What is unit conversion?

Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor.

According to the given question.

We have different units gallon, pint, cup and quart of volume.

For arranging the above units from least to greatest we use unit conversion.

Since,

1 gallon = 16 cups

1 quart = 4 cups

and

1 pint = 2 cups

So, we have converted all the units in cups.

Hence, the order of the given units from least to greatest is

cup < pint < quart < gallon

Find out more information about unit conversion here: