1
Write the following numbers in order of size.
Start with the smallest number.
4.36 4.3 4.06 4.306

Answer:

24/25 mugs

Step-by-step explanation:

Fruit juice 4/5pint cartons is sold by the park in 5/6 pint mugs.

To calculate the number of mugs in the carton:

Number of pint cartons ÷ Number of pint mugs

4/5 pint cartons ÷ 5/6 pint mugs

= 4/5 ÷ 5/6

= 4/5 ÷ 6/5

= 24/25 mugs.

Therefore, the number of mugs in the carton = 24/25 mugs.

Answer:

X ( - 1, 1/2)

Step-by-step explanation:

4 - 2x > 3

4 - 2x < 6

Then solve the inquality for x

X< 1/2

X > - 1

Then u get the answer x ( - 1, 1/2)

Note: [ 1/2 is 1 over 2]

Step-by-step explanation:

3<4-2x 4-2x<6

-1<-2x -2x<2

1/2>x x>-1

x<1/2

the graph shown in pic

Answer:

7 steps.

Step-by-step explanation:

Since the monkey is sitting on the first step already you can subtract 9 by 1 to find the amount of steps left.

9-1 = 8 steps left

The monkey jumps 3 steps down

8-3= 5 steps

Then jumps 2 steps up

5 + 2 = 7 steps

The monkey has 7 more steps until he reaches the water level.

The slope of a line perpendicular to the line whose equation is x - 2y = -8 is -2.

In Mathematics and Geometry, perpendicular lines are two (2) lines that intersect or meet each other at an angle of 90° (right angles).

From the information provided above, the slope for the equation of line m is given  by:

x - 2y = -8

2y = x + 8

y = x/2 + 4

slope (m) of line m = 1/2

In Mathematics and Geometry, a condition that is true for two lines to be perpendicular is given by:

m₁ × m₂ = -1

1/2 × m₂ = -1

m₂ = -2

Slope, m₂ of perpendicular line = -2

Read more on perpendicular line here: brainly.com/question/27257668

#SPJ1

Answer:

A. 94.37

B. .45

Step-by-step explanation:

A. 32.12+31.67+30.55=94.37

B. 32.12-31.67=.45

The Interest (simple interest) will be less on Loan A.

What exactly is simple interest?

Simple Interest is a simple way for computing interest on a loan or principle amount. Simple interest is a concept that is employed in numerous industries, including banking, finance, and automobiles. When you make a loan payment, the monthly interest is deducted first, followed by the principle amount.

The simple interest formula is as follows:

SI=P*R*T/100

SI stands for simple interest.

P stands for principal.

R is the interest rate (in percentage)

T denotes the length of time (in years)

The following formula is used to compute the total amount:

Amount (A) = Principal (P) x Simple Interest (SI)

Now,

For A Principal=$10000, Time = 3 years, Rate=5%

then interest paid=10000*3*5/100

=300*5=$1500

For B  Principal=$10000, Time = 5 years, Rate=8%

Interest=10000*5*8/100

=500*8

=$4000

That means SI(B)>SI(A)

Hence,  

          The Interest will be less on Loan A.

To know more about simple interest visit the link

https://brainly.com/question/25845758?referrer=searchResults

#SPJ1

Answer:

2 Miles 167 yd

Step-by-step explanation:

4 Miles -2 Miles = 2 Miles

882 yd- 715 yd  = 167 yd

Answer:

B ON E2020

Step-by-step explanation:

b.

Net income considers operating expenses while gross profit does not

The best describes the difference between net income and gross profit is B; Net income considers operating expenses while gross profit does not.

Gross profit is the profit a firm makes after deducting the costs of manufacturing and selling its products or providing its services from the revenue the company made.

The equation that correctly describes the gross profit will be;

gross profit = (net sales) - (cost of goods sold)

Therefore, the correct option is B

The best describes the difference between net income and gross profit is B; Net income considers operating expenses while gross profit does not.

Learn more about Gross Profit:

brainly.com/question/18567528

#SPJ6

A) The algebraic expression will be 12d + 7 = 91

B) He drives 7 miles per day to work.

For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.

The distance she drove on Saturday was; 0.9 miles.

The number of miles she drives per day:

84 miles/12

= 7 miles per day

Let the number of miles she travels be day = d

12d + 7 = 91 miles

12d + 7 = 91

12d = 91 - 7

12d = 84

d = 84/12

d = 7 miles per day

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ1

The aluminum parallel-flow plate-and-fin evaporator has several key advantages over the standard round copper tube plate-and-fin evaporator are Lighter Weight, Improved Heat Transfer Efficiency.

An evaporator is a device used in air conditioning and refrigeration systems to remove heat from the refrigerant, which helps to cool down the air. There are two main types of evaporators: the aluminum parallel-flow plate-and-fin evaporator and the standard round copper tube plate-and-fin evaporator.

The parallel-flow design of the aluminum evaporator provides a larger surface area for heat transfer, which results in more efficient cooling. This means that less energy is required to achieve the same cooling effect.

Reduced Pressure Drop: The parallel-flow design also reduces the pressure drop in the refrigerant, which can improve the overall efficiency of the air conditioning or refrigeration system.

Aluminum is lighter than copper, which makes the aluminum evaporator easier to handle and install. This can be especially important in large air conditioning or refrigeration systems where weight and handling can be a significant concern.

Increased Durability: Aluminum is a more durable material than copper, which means that the aluminum evaporator is less likely to suffer from corrosion or other types of damage over time.

Better Resistance to Leakage: The parallel-flow design of the aluminum evaporator provides a tighter seal, which reduces the risk of refrigerant leakage. This helps to maintain the efficiency of the air conditioning or refrigeration system.

Lower Maintenance Costs: The increased durability and better resistance to leakage of the aluminum evaporator can help to lower maintenance costs over time.

Improved Environmental Performance: The improved efficiency and reduced pressure drop of the aluminum evaporator can help to lower the energy consumption of the air conditioning or refrigeration system. This can result in a reduction in greenhouse gas emissions and other environmental impacts.

To know more about evaporator here.

https://brainly.com/question/13502489

#SPJ4

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

y ∝ x

y = kx

k = 0.6

The value of x when y = 18 is 30.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 5y is an equation.

2x + 4 + 9 is an equation.

We have

if y varies directly as x.

This can be written as,

y ∝ x

y = kx _____(1)

From (1),

y = 6 when x= 10

6 = 10k

k = 6/10

k = 0.6

Now,

y = 0.6x

when y = 18,

18 = 0.6x

Divide both sides by 0.6.

x = 18/0.6

x = 180/6

x = 30

Thus,

y ∝ x

y = kx

k = 0.6

The value of x when y = 18 is 30.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Substitute x=100 into the function:

Answer:

18.63

Step-by-step explanation:

\( \frac{6}{10} = 0.6 \\ \frac{3}{100} = 0.03\)

\(10 + 8 + 0.6 + 0.03 = 18.63\)

Answer:

A and D

Step-by-step explanation:

0.45 - 0.23 = 0.22

0.45(8) = 3.60

Answer:

Question 2

Area of circle  = 132.7

Question 3

Total area of 3 rugs = 37.68 square feet
(assuming 4 feet is the diameter since that part of the image has been cropped)

Step-by-step explanation:

We are going to use the following information to answer questions 2 and 3

Area of a circle of radius r = πr² with π = 3.14

Radius = diameter/2

Question 2

Radius of circle = 13/2 = 6.5
Area = πr²

= 3.14 x (6.5)^

= 132.665
= 132.7 rounded to the nearest tenth

Question 3
Not sure whether the given figure of 4 ft is diameter or radius since that part of the image has been cropped.

I am going to assume it is the diameter.

If it is the diameter, 4 feet diameter = 2 feet radius

The area covered by each rug is 3.14 x 2² = 3.14 x 4 = 12.56 square feet

For 3 rugs total area = 3 x 12.56 = 37.68 square feet

9514 1404 393

Answer:

Step-by-step explanation:

The model scale tells you ...

  (model dimension) / (actual dimension) = 7/48

Multiplying by the actual dimension, we get ...

  model dimension = (actual dimension)×7/48

Then ...

  model length = (97 in)(7/48) = 14 7/48 in ≈ 14 in

  model width = (54 in)(7/48) = 7 7/8 in ≈ 8 in

  model height = (72 in)(7/48) = 10 1/2 in ≈ 11 in

Answer:  \(x = \sqrt{10wy} - t\)

Step-by-step explanation:

wy = \(\frac{(x + t )^{2} }{10}\)

10wy = (x + t )²

\(\sqrt{10wy}\) = x + t

\(\sqrt{10wy} - t\) = x

Answer:

\(x=-t-\sqrt{10wy}, \;\; x=-t+\sqrt{10wy}\)

Step-by-step explanation:

Given equation:

\(wy=\dfrac{(x+t)^2}{10}\)

Rearrange the given equation to make x the subject.

Multiply both sides by 10:

\(\implies 10 \cdot wy=10 \cdot \dfrac{(x+t)^2}{10}\)

\(\implies 10wy=(x+t)^2\)

\(\implies (x+t)^2=10wy\)

\(\textsf{For\;\;$(g(x))^2=f(a)$\;\;the\;solutions\;are\;\;$g(x)=\sqrt{f(a)}, \; -\sqrt{f(a)}$}.\)

Square root both sides:

\(\implies x+t=\pm\sqrt{10wy}\)

\(\implies x=-t\pm\sqrt{10wy}\)

Therefore:

\(x=-t-\sqrt{10wy}, \;\; x=-t+\sqrt{10wy}\)

Answer:

386.0285

Step-by-step explanation:

Answer:

$405.33

Step-by-step explanation:

I assume you are looking for the final sale price including the markup and tax.

original cost: $269.95

To add the markup of 43%, we multiply the cost by 1.43. To add the tax of 5%, we multiply by 1.05.

final sale price = 1.05 × 1.43 × $269.95

final sale price = $405.33

Answer:

3

Step-by-step explanation:

Let's write the statement as an equation and solve for that number.

x+7=10

x=3

Step-by-step explanation:

\(\bold{x + 7 = 10}\)

\( \longmapsto \: x = 10 - 7\)

\( \longmapsto \: 10 - 7 = 3\)

\(\bold{Hope}\)\(\bold{It}\) \(\bold{Helps!}\)

\(\bold{Study}\)\(\bold{Well}\)~

Amy's forth  account is the most over drawn of all the four accounts

What is the total balance of all accounts?

The total balance of all 4 accounts can be determined as the sum of all account balances, bearing in mind that a positive is added whereas an overdrawn balance is deducted

Total balance=$250-$45+$100+$x

The total balance=$130

the balance in the forth account=$x

Let us substitute $130 for the total balance

$130==$250-$45+$100+$x

$130=$305+$x

$x=$130-$305

$x=-$175

The fact that the forth account has  a balance of negative $175 means that it is also overdrawn, in essence, the correct option out of the 4 options is A, the forth account is most overdrawn because it is more overdrawn that the second account with a negative balance of $45.

Find out more about multiple bank accounts on https://brainly.com/question/9315097

#SPJ1

Answer:

no

Step-by-step explanation:

a) The distance from point P to the pole  is: 6.2 m

b) The height of the Pole is: 6.2 m

The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.

Now, we are given that:

The angle of elevation of the top of the pole =  45°

Angle of elevation of the top of the pole = 58°.

|PQ|= 10m

a) PR is distance from point P to the pole and using trigonometric ratios, gives us:

PR/sin 58 = 10/sin(180 - 58 - 45)

PR/sin 58 = 10/sin 77

PR = (10 * sin 58)/sin 77

PR = 8.7 m

b) P O can be calculated with trigonometric ratios as:

P O = PR * cos 45

P O = 8.7 * 0.7071

P O = 6.2 m

Now, the two sides of the isosceles triangle formed are equal and as such:

R O = P O

Thus, height of pole R O = 6.2 m

Read more about distance from angle of elevation at: https://brainly.com/question/25748640

#SPJ1

Answer:

yes

Step-by-step explanation:

==========================================

Explanation:

Let's start off counting the number of ways to form the panel that doesn't have Allen or Joe on it. In other words, both are not on the panel.

There are 22 students, but we want to exclude 2 of them (Allen and Joe) from the panel. So in reality, we only have 20 students to pick from. There are 6 slots to fill.

The first slot has 20 choices

The second slot has 19 choices

The third has 18 choices

And so on. We count our way down until all six slots are filled. We'll have this sequence of six values: 20, 19, 18, 17, 16, 15

They multiply out to 20*19*18*17*16*15 = 27,907,200

This is the number of permutations where we choose 6 from a pool of 20.

With permutations, order matters; however, order doesn't matter on this panel. All we care about is the group overall.

So we must divide by 6! = 6*5*4*3*2*1 = 720 and we get

(27,907,200)/(720) = 38,760

There are 38,760 different combinations, so there are 38,760 different panels where neither Allen nor Joe are selected.

We'll use this later later, so let A = 38,760

------------------------------------------------------

Now onto the next part. We need to count the total number of possible panels, and this time we're including Allen and Joe.

We have our original total of 22 students. There are still 6 seats to fill.

We could follow the same steps as the prior section, but I'll use a different route.

Let n = 22 and r = 6. Plug these values into the nCr combination formula below

\(_n C_r = \frac{n!}{r!*(n-r)!}\\\\_{22} C_6 = \frac{22!}{6!*(22-6)!}\\\\_{22} C_6 = \frac{22!}{6!*16!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17*16!}{6!*16!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17}{6!}\\\\_{22} C_6 = \frac{22*21*20*19*18*17}{6*5*4*3*2*1}\\\\_{22} C_6 = \frac{53721360}{720}\\\\_{22} C_6 = 74613\\\\\)

There are exactly 74,613 ways to form a committee of 6 people from a pool of 22 total.

Let B = 74,613

------------------------------------------------------

To find the probability of neither Allen or Joe are on the committee, we divide the values of A and B found earlier

A/B = (38,760)/(74,613) = 0.5194805

This value is approximate.

Rounding to three decimal places, or rounding to the nearest thousandth, leads to the final answer 0.519

There's roughly a 51.9% chance of forming a panel where neither Allen nor Joe are members.

Answer:

first one answer is 4 second one answer is 0

Answer:

8.9

Step-by-step explanation:

Distance Equation Solution:

d=(7−3)2+(6−(−2))2−−−−−−−−−−−−−−−−−−√

d=(4)2+(8)2−−−−−−−−−√

d=16+64−−−−−−√

d=8–√0

d=8.9

Hope this helps you!

1. It is false that when non-Standard unit used is small few unit's are

needed .

2. Objects with different shapes can have the same volume. True

3. Length, width and height and multiplied to find volume of a rectangular prism. True

4. It is false that volume is measured in square unit.

5. It is true that Volume is a measure of the amount of space inside an object.

6. The formula for volume of a rectangular prism is V = l × w × h. True

7. It is true that Standard units give a consistent and accurate measure of a container.

8. It is false that Non-Standard units cannot be used to measure volume.

9. Volume is measured in cubic units. True

Volume can be defined as the amount of space inside and object. the object can be in different form such as cone, rectangular prism, cylinder and many other shapes. Even though shapes are different, It is possible for different shapes or objects to have the same volume when measure.

Measurement of volume can be through standard measurement and non standard measurements such as a cup of rice. However, for consistency and the sake of accuracy, it is advisable to always use standard measurements of volume where possible to avoid error that may occur in non standard measurement. The acceptable and recognized unit of volume is cubic meter (\(m^3\)).

Learn more on Volume on https://brainly.com/question/27710307

#SPJ1

Answer:

558

Step-by-step explanation:

The interest paid for the loan is $1748

Given that there is a 6.1% interest rate for a loan of $28,654 in student loan debt pay in the first year,

We need to find the interest paid for the same.

So,

Simple Interest = principal × time × rate / 100

= 28654 × 1 × 6.1 / 100

= 28654 × 0.061

= 1747.894

= 1748

Hence the interest paid for the loan is $1748

Learn more about Simple Interest click;

https://brainly.com/question/25845758

#SPJ1

The equation of the ellipse is \((x - 3)^2 / 16 + (y - 3)^2 / 64 = 1.\)

To determine the equation of the ellipse, we need to find its major and minor axes, as well as the distance from each focus to the center.

Given that the foci of the ellipse are located at (3, 1) and (3, 5), we can determine that the center of the ellipse is at the midpoint between these two foci, which is (3, 3).

The endpoints of the minor axis are (7, -2) and (-1, -2), which tells us that the length of the minor axis is 7 - (-1) = 8 units.

Now, let's calculate the distance from the center to one of the foci. Using the distance formula, we have:

sqrt((3 - 3)^2 + (3 - 1)^2) = sqrt(0 + 4) = 2.

Since the foci are vertically aligned, the major axis is vertical. Therefore, the length of the major axis is twice the distance from the center to one of the foci, which gives us 2 \(\times\) 2 = 4 units.

Using the standard form of the equation for an ellipse centered at (h, k), with a horizontal major axis of length 2a and a vertical minor axis of length 2b, the equation is:

\((x - 3)^2 / 4^2 + (y - 3)^2 / 8^2 = 1.\)

For more such questions on ellipse

https://brainly.com/question/9702250

#SPJ8