1. In △ABC, GE=27 in.

What is the length of BE¯¯¯¯¯?

2. In △JKL, LO=104 cm .

What is the length of NO¯¯¯¯¯¯?

3. In △RST, SU=45 in.

What is the length of UX¯¯¯¯¯¯?

1.  81
2. 52
3. 15

Answer:

3.59x + 1.49y ≤ 13

Step-by-step explanation:

Let x represents the number of notebooks and y represents the number of pens.

If notebooks cost $3.59 and pens cost $1.49 then total cost of the pens and notebooks will be = 3.59x + 1.49y

Bryan spends up to $13 means that total expenditure must be less than equal to $13

Then inequality will be

3.59x + 1.49y ≤ 13

To minimize costs, the company should use only rectangular containers. The company will need 143 rectangular containers to package 6,400 candles.

To minimize costs, the company should use only rectangular containers to package the 6,400 candles. Since each rectangular container holds 45 candles and costs $16, we can calculate the number of containers needed by dividing the total number of candles by the number of candles in each container:

Number of rectangular containers needed = Total number of candles / Number of candles in each rectangular container
= 6,400 / 45
= 142.22

Since we cannot have a fraction of a container, we need to round up to the nearest whole number. Therefore, the company will need 143 rectangular containers to package 6,400 candles.

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After six hours, the tide is 11 feet high.

For given question,

We have been given a function [tex]f(t)=5\times cos((\frac{\pi}{4} )t)+11[/tex]

which represents the tide in Dark Sea and t represents the time in hours.

We need to find the height of the tide after 6 hours.

For t = 6, we need to find the value of function f(t)

[tex]\Rightarrow f(6)=5\times cos((\frac{\pi}{4} )6)+11\\\\\Rightarrow f(6)=5\times cos((\frac{3\pi}{2} ))+11\\\\\Rightarrow f(6)=0+11\\\\\Rightarrow f(6)=11[/tex]

Therefore, after six hours, the tide is 11 feet high.

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To find the length of the plank after cutting off 2/5, convert the original length to an improper fraction, calculate the length of the cut portion as a fraction, and subtract it from the original length.

To determine the length of the plank after Elizabeth cuts off 2/5 of it, we can subtract the length of the cut portion from the original length of the plank.

First, we need to convert 4 and 3/4 feet to an improper fraction. This is equal to 19/4 feet.

Next, we can find 2/5 of 19/4 by multiplying it: (2/5) * (19/4) = 38/20 = 19/10 feet.

To find the length of the plank now, we subtract 19/10 feet from 19/4 feet: 19/4 - 19/10 = 95/20 - 19/20 = 76/20 = 3 and 16/20 feet.

Therefore, the plank is now 3 and 4/5 feet long.

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Answer:

-4

Step-by-step explanation:

Final answer:

John's hourly wage is calculated to be $15 per hour. For 17 hours of work at this rate, John would earn $255.

Explanation:

John made $195 for 13 hours of work, which means his hourly wage is the total amount earned divided by the total hours worked. To find John's hourly wage we calculate $195 ÷ 13 hours = $15 per hour. To determine how much he would make for 17 hours of work at this same rate, we multiply his hourly wage by 17 hours.

$15 per hour × 17 hours = $255

Therefore, at the same hourly rate, John would make $255 for 17 hours of work.

For this case we have to:

d: Represents the cost in dollars for each can of tennis

Then we have according to the data that:

[tex]3d + 4d + 2d[/tex]

The above expression represents the total cost of the tennis cans that Star bought.

We simplify, adding the similar terms of the expression:

[tex]9d[/tex]

ANswer:

[tex]9d[/tex]

To achieve an average attendance of 30007 over three shows with the first two shows having audiences of 2580 and 2920 respectively, 84421 people must attend the third show.

The subject here is Mathematics and we will be solving for the average attendance required for three shows to have an average of 30007 attendees per show.

Let's denote the number of people that need to attend the third show by 'x'. According to the problem, the average attendance of the three shows should be 30007, hence:

(2580 + 2920 + x) / 3 = 30007

This simplifies to 5500 + x = 90021

Subtracting 5500 from both sides, we get:

x = 90021 - 5500

Therefore, a total of 84421 people need to attend the third show for the average attendance across all three shows to be 30007.

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To calculate the amount of apple juice each of the 10 students can have, divide the total volume of 3 liters by 10, resulting in 0.3 liters per student.

The question involves dividing a total volume of liquid evenly among a number of participants, which is a basic arithmetic problem in mathematics, specifically dealing with division.

To find out how much apple juice each student can have, you need to divide the total amount of apple juice by the number of students. There are 3 liters of apple juice and 10 students. So, each student can have 3 liters / 10 students = 0.3 liters of apple juice. A liter is a unit of capacity, and it's comparable to a jug of milk or a bottle of soda, which also holds a similar amount of liquid. Hence, the volume in this context is measured in liters. When you divide the total volume of apple juice by the number of students, you get the volume that each student will receive.

Answer:

3,840

Step-by-step explanation:

hope this helped:)

Answer:

3.46227766; irrational

Step-by-step explanation:

The sum of 3/10 and √10 can be written mathematically as:

3/10 + √10

Taking the LCM which is 10

3/10 + √10 = 0.3 + 3.16227766

= 3.46227766

Since we cannot express the resulting value as a ratio of two integers, therefore the value is classified as an irrational number.

The expression correctly shows the total money Betty has left is $70 + (−$9) + (−$7). The correct option is B.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Betty had $70. she bought a necklace for $9 and a ring for $7. The expression for the amount left will be written below,

The amount of the necklace and ring will be deducted from the initial amount,

E = $70 + (−$9) + (−$7)

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Answer:

Meal A cost $30 a person (60/2)

Meal B cost about $26.5 a person (80/3)

Meal C cost $24 a person (96/4)

Meal D cost $23 a person (115/5)

Step-by-step explanation:

Answer:

A. 1/3

Step-by-step explanation:

Suppose x represents the amount of the water ( in cups ) wasted in t minutes,

∵ The amount of water wasted varies directly with the amount of time the faucet drips,

⇒ x ∝ t

⇒ x = kt

Where,

k = constant of variation,

If x = 1, t = 3,

[tex]\implies 1 = k(3)\implies k = \frac{1}{3}[/tex]

Hence, the constant of variation is [tex]\frac{1}{3}[/tex]

OPTION A is correct.