Out of the 25 families that Tod deliver magazines to on Friday, 10 families were home and the test were away. How is the fraction of magazines that were delivered to families who were home written as a decimal?

Answer:

ST = 16

Step-by-step explanation:

The similar triangles are given as triangle PQR similar to triangle STU.

That makes sides PQ and ST corresponding sides. It also makes sides PR and SU corresponding sides. The ratios of the lengths of corresponding sides of similar triangles are equal.

\( \dfrac{ST}{PQ} = \dfrac{SU}{PR} \)

\( \dfrac{5x + 1}{36} = \dfrac{11x - 5}{63} \)

Multiply both sides by 9.

\( \dfrac{5x + 1}{4} = \dfrac{11x - 5}{7} \)

Cross multiply.

\( 7(5x + 1) = 4(11x - 5) \)

Distribute on both sides.

35x + 7 = 44x - 20

Subtract 44x from both sides.

-9x + 7 = -20

Subtract 7 from both sides.

-9x = -27

Divide both sides by -9.

x = 3

ST = 5x + 1 = 5(3) + 1 = 15 + 1 = 16

Answer: ST = 16

Answer:

The sum of their ages is 29, which we can express as the equation:

P + (P - 11) = 29

Simplifying the equation:

2P - 11 = 29

Adding 11 to both sides:

2P = 40

Dividing both sides by 2:

P = 20

Therefore, Pete's age, represented by "P," is 20 years old.

Answer:

The average occupancy rate for the past three nights is of 86.49%.

Step-by-step explanation:

We want to find the average occupancy rate, as a percentage.

You've sold 101 rooms, 98 rooms, and 102 rooms over the past 3 days.

So the mean number of rooms sold during the past 3 days is given by:

\(A = \frac{101 + 98 + 102}{3} = \frac{301}{3} = 100.33\)

Average rate:

\(R = \frac{100.33*100}{116} = 86.49\)

The average occupancy rate for the past three nights is of 86.49%.

Answer:

15 cm     or .15 m

Step-by-step explanation:

1 meter is 100 cm

1/2 m = 50 cm

  3/10 of this =   3/10 * 50 = 15 cm      or  .15 m

Answer:

It’s 12

Step-by-step explanation:

12 tsp of  toasted sesame seeds per teaspoon of pepper flakes

A fraction represents a part of a whole.

Given that Omar need 8 tsp of toasted sesame seed for 2/3 tsp of pepper flake.

We need to find the rate in teaspoons or toasted sesame seeds per teaspoon of pepper flakes.

Based on the given conditions, formulate:

We need to find Eight divided by the fraction two by three.

8/(2/3)

When a whole number is divided by a fraction then the  multiply the whole number by the reciprocal of the fraction.

8×3/2

When eight is multiplied with 3 is 24.

24/2

Divide numerator and denominator by 2

We get twelve,12

Hence, 12 tsp of  toasted sesame seeds per teaspoon of pepper flakes

To learn more on Fractions click:

https://brainly.com/question/10354322

#SPJ3

Answer:

4) choice 1) 14.7 cm

5) choice 2) 14.8 cm

Step-by-step explanation:

4) 10^2 + 10^2 + 4^2 = 216

sq rt 216 = 14.7

5) 14^2 + 3^2 + 4^2 = 221

sq rt 221 = 14.86

Answer:

2/5

Step-by-step explanation:

On the number line the number 0.4 is above the fraction 2/5

Answer:

15 ways

Step-by-step explanation:

girl 1 and boy 1

girl 2 and boy 1

girl 3 and boy1

girl 1 and boy 2

girl2 and boy 2

girl 3 and boy 2

girl 1 and boy 3

girl 2 and boy 3

girl 3 and boy 3

girl 1 and boy 4

girl 2 and boy 4

girl 3 and boy 4

girl 1 and boy 5

girl 2 and boy 5

girl 3 and boy 5

Answer:

A) 427 × 3 = 400 × 3 + 20 × 3 + 7 × 3

Step-by-step explanation:

\(427*3=(400+20+7)*3=(400*3)+(20*3)+(7*3)\)

Therefore, the first option is correct

The linear equation that passes through the two given points is

3y - 2x = 22

Remember that a linear equation that passes through the points (x₁, y₁) and (x₂, y₂) has a slope:

a = (y₂ - y₁)/(x₂ - x₁)

In this case the points are  (-5,4) and (10,14), then the slope is:

a = (14 - 4)/(10 + 5) = 10/15 = 2/3

Then the line is something like:

y = (2/3)*x + b

To find the value of b, you can replace the values of one of the points there.

14 = (2/3)*10 + b

14 - 20/3 = b

22/3 = b

Then the line is:

y = (2/3)*x + 22/3

3y = 2x + 22

3y - 2x = 22

That is the line that passes through the two points.

Learn more about linear equations at:

https://brainly.com/question/1884491

#SPJ1

Step 1

Given;

Required; To find x

Step 2

Answer; x=10

Answer:

X= 5.52

Step-by-step explanation:

1. Solve the equation:

e×2x + 12= 42

x=15/e

2. Round x=15/e to the required place

x=5.52

Answer:

X=1.15

Step-by-step explanation:

Research Report:

Title: The Number of Coins Carried by Teachers

Introduction:

This research report aims to investigate the number of coins carried by teachers. The study seeks to understand the reasons behind carrying coins and whether there are any patterns or correlations between the number of coins and certain factors such as age, gender, and occupation.

The data was collected through a survey distributed among teachers from various educational institutions. The findings of this study provide insights into teachers' habits and preferences when it comes to carrying coins.

Results and Analysis:

A total of 300 teachers participated in the survey. The data revealed that the majority of teachers (60%) carry less than 5 coins, while 25% carry between 5 and 10 coins. Only a small percentage (15%) reported carrying more than 10 coins.

Further analysis based on demographic factors indicated that age and occupation had a significant influence on the number of coins carried. Older teachers were more likely to carry fewer coins, with 70% of teachers above the age of 50 carrying less than 5 coins.

Additionally, primary school teachers tended to carry more coins compared to secondary school teachers.

Discussion and Interpretation:

The findings suggest that the number of coins carried by teachers is influenced by various factors.

Teachers may carry coins for a range of reasons, such as purchasing small items, providing change for students, or utilizing vending machines.

The lower number of coins carried by older teachers could be attributed to a shift towards digital payment methods or a preference for carrying minimal cash.

The discrepancy between primary and secondary school teachers could be due to differences in daily activities and responsibilities.

This research provides valuable insights into the habits and preferences of teachers regarding the number of coins they carry.

Understanding these patterns can assist in designing more efficient payment systems within educational institutions and potentially guide the development of tailored financial solutions for teachers.

Further research could explore the reasons behind carrying coins in more depth and investigate how the digitalization of payments affects teachers' behavior in different educational contexts.

for such more questions on investigate

https://brainly.com/question/32310280

#SPJ8

Answer:

3(12 + 7)

Step-by-step explanation:

To find the GCF of 36 and 21, list out their factors.

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

21: 1, 3, 7, 21

The greatest factor which both numbers share is 3.

Therefore, you can factor 36 + 21 as 3(12 + 7)

The percent error in his calculation is 13.04%

He calculated the object will take 2.3 seconds to fall on the ground.

It takes 2.5 seconds for the object to fall.

Therefore, the percent error can be calculated as follows:

percent error = | theoretical value - experimental value | / theoretical value × 100

Therefore,

percent error = |2.3 - 2.5| / 2.3 × 100

percent error =  0.3 / 2.3 × 100

percent error = 0.3 × 100 / 2.3

percent error = 30 / 2.3

percent error = 13.0434782609

Therefore,

percent error = 13.04 %

learn more on percent error here: https://brainly.com/question/14501506

#SPJ1

Answer:

4

Step-by-step explanation:

First off, \(\frac{2}{3}\) can be changed to \(\frac{4}{6}\) and still be equal to \(\frac{2}{3}\).

Lastly, you can find out how many can fit,

4  \(\frac{1}{6}\) yard stripes can fit

Answer: 12 cups of flour

Step-by-step explanation:

12 cups of flour 3 + 3 + 3 + 3 = 12 because I have to make 96 cupcakes for tomorrow.

The amount of flour required will be 8 x 1.5 = 12 cups of flour. Option A is correct.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

To make 2 dozen cupcakes, the recipe requires 3 cups of flour. Therefore, for 1 dozen cupcakes, the recipe requires 1.5 cups of flour (since 2 dozen cupcakes = 2 x 1.5 = 3 cups of flour).

To make 96 cupcakes, Sally needs 8 dozen cupcakes (since 8 x 12 = 96). Therefore, the amount of flour required will be 8 x 1.5 = 12 cups of flour.

So, the answer is 12 cups of flour, and the explanation should be:

To make 2 dozen cupcakes, the recipe requires 3 cups of flour. Therefore, for 1 dozen cupcakes, the recipe requires 1.5 cups of flour. To make 96 cupcakes, Sally needs 8 dozen cupcakes.

Therefore, the amount of flour required will be 8 x 1.5 = 12 cups of flour.

Learn more about Ratio here:

brainly.com/question/13419413

#SPJ2

Answer:

(8.213 ; 8.247)

Step-by-step explanation:

Given the data :

No. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Dia. 8.23 8.16 8.23 8.25 8.26 8.23 8.20 8.26 8.19 8.23 8.20 8.28 8.24 8.25 8.24

Sanple size, n = 15

Sample mean, xbar = Σx / n = 123.45 / 15 = 8.23

The sample standard deviation, s = √(x -xbar)²/n-1

Using calculator :

Sample standard deviation, s = 0.03116

s = 0.031 (3 decimal places)

The 95% confidence interval :

C.I = xbar ± (Tcritical * s/√n)

Tcritical at 95%, df = 15 - 1 = 14

Tcritical = 2.145

C.I = 8.23 ± (2.145 * 0.031/√15)

C.I = 8.23 ± 0.0171689

C.I = (8.213 ; 8.247)

Answer:

Step-by-step explanation:

First find the unit rate aand the multiply the unit rate with 6

Cost of 10 ft ribbon = $ 4.50

Cost of 1 feet ribbon = 4.50 ÷ 10 = $ 0.45

Cost of 6 feet ribbon= 0.45 * 6  = $ 2.70

Answer:

Step-by-step explanation:

Answer:

There is 5% of the juice left.

Step-by-step explanation:

We know that originally, the container had 80 oz of orange juice, this is 100% in our case.

Then we can write a relation:

80 oz = 100%

Now there are 4 ounces left, in the same way as before, we can write this as:

4 oz = X%

We want to find X%

First, let's write our equations:

4 oz = X%

80 oz = 100%

We can take the quotient between these two equations to get:

(4oz/80oz) = (X%/100%)

We need to solve this for X%, then we get:

(4oz/80oz)*100% = X% = 5%

This means that 4 oz is 5% of the initial volume of the juice container.

Then we can conclude that there is 5% of the juice left.

Answer:

20 for both

Step-by-step explanation:

hope this helps

Answer:

-29

Step-by-step explanation:

x/2 - 5y + 1.5z
(10)/2 - 5(8) + 1.5(4)

5 - 40 + 6
-35 + 6
-29

Answer:

=10/2-5×8+1.5×4

=5-40+6.0

=-29

The third term (a3) of the sequence is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183. These values are obtained by applying the given formula recursively and substituting the previous terms accordingly. The calculations follow a specific pattern and are derived using the provided formula.

The sequence is defined by the following formula:

a1 = 1, a2 = 3,

and

an = (-1)nan - 1 + an - 2 for n ≥ 3.

To find the third term (a3), we substitute n = 3 into the formula:

a3 = (-1)(3)(a3 - 1) + a3 - 2.

Next, we simplify the equation:

a3 = -3(a2) + a1.

Since we know a1 = 1 and a2 = 3, we substitute these values into the equation:

a3 = -3(3) + 1.

Simplifying further:

a3 = -9 + 1.

Therefore, the third term (a3) is equal to -8.

To find the fourth term (a4), we substitute n = 4 into the formula:

a4 = (-1)(4)(a4 - 1) + a4 - 2.

Simplifying the equation:

a4 = -4(a3) + a2.

Since we know a2 = 3 and a3 = -8, we substitute these values into the equation:

a4 = -4(-8) + 3.

Simplifying further:

a4 = 32 + 3.

Therefore, the fourth term (a4) is equal to 35.

To find the fifth term (a5), we substitute n = 5 into the formula:

a5 = (-1)(5)(a5 - 1) + a5 - 2.

Simplifying the equation:

a5 = -5(a4) + a3.

Since we know a4 = 35 and a3 = -8, we substitute these values into the equation:

a5 = -5(35) + (-8).

Simplifying further:

a5 = -175 - 8.

Therefore, the fifth term (a5) is equal to -183.

In summary, the third term (a3) is -8, the fourth term (a4) is 35, and the fifth term (a5) is -183.

For more such questions sequence,Click on

brainly.com/question/7882626

#SPJ8

The calculated number of plants the flower bed can contain is 120

From the question, we have the following parameters that can be used in our computation:

Dimensions = 16 m by 9 m

So, the area of the flower bed is

Area = 16 * 9

Evaluate

Area =  144

Also, we have

Each plant requires a space of 1.2m x 1m?

This means that

Plant area = 1.2 * 1

Plant area = 1.2

So, we have

Plants = 144/1.2

Evaluate

Plants = 120

Hence, the number of plants is 120

Read more about area at

https://brainly.com/question/24487155

#SPJ1

Answer:

Step-by-step explanation:

To calculate the number of plants that can be planted in the rectangular flower bed, we need to calculate the area of the flower bed and divide it by the space required for each plant.

The area of the flower bed is calculated by multiplying its length and breadth.

So, the area of the flower bed is 16m x 9m = 144 sq.m.

Each plant requires a space of 1.2m x 1m = 1.2 sq.m.

Therefore, the number of plants that can be planted in the flower bed is:

144 sq.m. ÷ 1.2 sq.m./plant = 120 plants.

So, you can plant 120 plants in the rectangular flower bed.

Answer:

Step-by-step explanation:

Its 4.51