4x+5y=11; solve for y

Answer: 135cm

Step-by-step explanation:

you take (1/2 x base x height) for the triangles and get 27 for both

Then you take lenght x width for the square and get 81

Then add them up, 27+27+81=135

Answer:

a = 9

Step-by-step explanation:

3a - 27 = 0

3a = 27

a = 27/3

a = 9

3*9  -  27 = 0

27 - 27 = 0

Answer:

a = 9

Step-by-step explanation:

3a-27=0

Add 27 to each side

3a = 27

Divide by 3

3a/3 = 27/3

a = 9

The surface areas are 110 in², 87.6 mm² and 49 m².

Given that are solid figure, we need to find the surface area of them,

1) Triangular prism = perimeter × length + 2 × base area

= (5 + 5 + 6) × 5 + 2(3×5) = 110 in²

2) Triangular pyramid = base area + perimeter × slant height / 2

= 1/2 × 5.2 × 6 + 3 × 6 × 8/2

= 87.6 mm²

3) Cube = 4side²

= 4 × (3 1/2)²

= 4 × 3.5²

= 49 m²

Hence the surface areas are 110 in², 87.6 mm² and 49 m².

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The smoothing constant is the correct option.

What is exponential smoothing?

The exponential window function is a general method for smoothing time series data known as exponential smoothing. Exponential functions are used to assign weights that decrease exponentially over time, as opposed to the simple moving average, which weights previous observations equally.

Forecasts using exponential smoothing are precise.

This method generates reliable and accurate forecasts that anticipate the following period.

Demand projections and actual demand are shown in the forecast. This makes it possible to effectively plan for demand, which leads to accurate inventory levels.

In exponential smoothing,  the higher the smoothing constant, the greater is the weight assigned to the values from the most recent  period.

Hence, the smoothing constant is the correct option.

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to find the distance between two points , (-5,4) (7,-5)

use the formula,

where,

then,

The distance between two given points is 15.

Answer:

80 points

Step-by-step explanation:

If score in English is x points and score in math is 5% higher then score in math

y = x + 0.05x

where 0.05 = 5% expressed as decimal

0.05x refers to the 5% increase in score

y = math score

y = x(1 + 0.05)

y = 1.05x

Given score in math = 84 this becomes

84 = 1.05x

x = 84/1.05

x = 80

So Emily's score in English was 80 points

The system of equations to represent the situation are f + l = 20.5 and 6.25f + 9.5l = 149.25, solution is 14 pounds and 6.5 pounds

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

We are given that;

Cost of fish=$6.25

Cost of lobster=$9.50

Cost of 20.5 pounds =$149.25

Now, let's use the variables f and l to represent the pounds of fish and lobster sold, respectively. We can set up two equations based on the information given:

f + l = 20.5 (the total weight sold is 20.5 pounds)

6.25f + 9.5l = 149.25 (the total revenue made is $149.25)

Now we can solve the system of equations using any method we prefer. Here's one way to do it using substitution:

f + l = 20.5 (equation 1)

f = 20.5 - l (solve equation 1 for f)

6.25f + 9.5l = 149.25 (equation 2)

6.25(20.5 - l) + 9.5l = 149.25 (substitute f = 20.5 - l into equation 2)

128.13 - 6.25l + 9.5l = 149.25 (distribute the 6.25)

3.25l = 21.12 (combine like terms)

l = 6.5 (divide both sides by 3.25)

Now we can use this value of l to find f:

f + 6.5 = 20.5 (from equation 1)

f = 14 (subtract 6.5 from both sides)

Therefore, by the equations the fish market sold 14 pounds of fish and 6.5 pounds of lobster.

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A graph of the inequality "y is less than negative one fourth times x minus 3" is: D. The graph shows a dashed line passing through the point negative 12 comma 0 and 0 comma negative 3, with shading below the line.

In order to determine the ordered pair that is included in the solution to this linear inequality, we would first of all translate the word problem into an algebraic equation as follows;

y is less than negative one-fourth times x minus 3 ⇒ y < -x/4 - 3.

Next, we would use an online graphing calculator to graphically solve the linear inequality. Therefore, the required solution for the given linear inequality is the shaded area below the dashed line, which is given by the ordered pairs (−12, 0) and (0, -3).

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Answer:

it’s D dotted line with shading below

Step-by-step explanation:

i got it on my quiz

25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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The actual distance represented by 23.7 cm on the map is 355.5 km.

To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.

Mabaso has R140, Thabo has R70, and Ally has R35.

The ratio of Mabaso's money to Thabo's money is:

R140 ÷ R35 = 4

The ratio of Mabaso's money to Ally's money is:

R140 ÷ R35 = 4

Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.

To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.

Original price: R750

Discounted price: R600

Discount: R750 - R600 = R150

Percentage discount: (R150 ÷ R750) × 100 = 20%

So, the table has a 20% discount on Black Friday.

To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).

125 g ÷ 1,000 = 0.125 kg

Therefore, 125 grams is equal to 0.125 kilograms.

If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.

Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags

Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.

If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.

1 cm on the map represents 1,500,000 cm in reality.

23.7 cm on the map represents x cm in reality.

x = 23.7 cm × 1,500,000 cm = 35,550,000 cm

To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).

35,550,000 cm ÷ 100,000 = 355.5 km

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Lynn is hesitant to allow Greta to drop off the potato salad at 10am .

Greta could make the potato salad the night before and keep it in the refrigerator to solve the problem she and Lynn were having. She could then transport the potato salad at a safe temperature in a cooler filled with ice packs on the day of the picnic.

She could ask Lynn to store the potato salad in a cooler or refrigerator until the picnic starts when she gets to the park. Along these lines, the potato salad will be protected to eat and won't represent a gamble of food contamination.

The mayonnaise in Greta's potato salad will spoil, leading to the growth of bacteria that could result in foodborne illness, if it is left outside in the sun until the picnic begins at 2 p.m. The potato salad may cause nausea, vomiting, diarrhea, and stomach cramps in those who consume it.

Because food safety guidelines state that perishable foods, like potato salad, should not be kept at room temperature for more than two hours, Lynn is hesitant to let Greta drop off the potato salad at 10 a.m.

If the potato salad is left out in the sun from 10 a.m. to 2 p.m., bacteria can grow on it, and eating it could make you sick.

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Answer:

C

Step-by-step explanation:

starts at 6 and ends at 12

includes 6 and 12

When listing all the pairs of factors for a particular term, the factorization process is used.

This process is fundamental in number theory and is used to break down composite numbers into their simplest building blocks: prime numbers.

For example, if we want to find all pairs of factors for the number 24, we could follow these steps:

Start with 1 and the number itself (in this case 24), as these are always factors.

Check if 2 divides 24 evenly. If it does, then 2 and 24/2 (which is 12) are a pair of factors.

Continue this process with increasing numbers. Check 3 (yes, it works, with the pair being 3 and 8), 4 (yes, with the pair being 4 and 6), and so on.

When the numbers you're testing exceed the square root of the original number (approximately 4.9 for 24), you can stop, as you'll have found all pairs.

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Answer:

7.10 I think its 7.10

The data contained in the foodindustry file can be expressed mathematically by calculating the average sales per store for each restaurant chain.

This can be done by dividing the total sales of all stores in the chain by the total number of stores in the chain. Mathematically, this could be expressed as follows:

Average Sales per Store = Total Sales of all Stores / Total Number of Stores

For example, if a chain had 10 stores with a total sales of $100,000, the average sales per store would be $10,000 ($100,000/10). This calculation can be used to compare the performance of different restaurant chains, as well as to identify potential areas of improvement.

The data contained in the foodindustry file can be expressed mathematically by calculating the average sales per store for each restaurant chain, which is done by dividing the total sales of all stores in the chain by the total number of stores in the chain.

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Answer:

p = 1,400

Step-by-step explanation:

In the simple interest rate formula, each year the same amount of interest is applied, as it's based off the initial amount invested and the interest rate.

\(I=P*r*t\)

Where "r" is the interest rate, "t" is time, and "p" is the principle amount, or initial amount invested.

We're given the following values:

Now the only thing is generally speaking, interest is applied annually rather than monthly. So we would need to convert the 3 months into years, which we can do by dividing by 12, giving us: 0.25 years

So we actually have: t = 0.25 years

Now from here we can plug in known values, and leave anything we don't know alone. So we start with our initial formula of:

\(I=P*r*t\)

Now from here we plug in i = 21, t = 0.25, r = 0.06 and leave "P" as "P"

\(21=P*0.25*0.06\)

Now let's simplify the multiplication on the right side:

\(21 = 0.015P\)

Divide both sides by 0.015:

\(1,400=P\)

And now we have our missing value!

Answer:

Divide both with 3.

12/3 = 4x

-3 divided by 3 = -1.

You end up with 4x-1 which is the final simplification.

Step-by-step explanation:

Answer:

This is your answer ☺️☺️☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

The area of the given figure is 27.5 square centimeter which has a rectangle and triangles

The given figure has a rectangle and triangles

The area of rectangle is length times width

Area of rectangle =5×4

=20 square centimeter

Area of triangle =1/2×base×height

=1/2×2.5×3

=7.5/2

=3.75 square centimeter

As there are two triangle = 2(3.75)

=7.5 square centimeter

Total area = 7.5+ 20

=27.5 square centimeter

Hence, the area of the given figure is 27.5 square centimeter

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Answer:

6 team members

Step-by-step explanation:

The number of problems solved per hour is proportional to the number of team members solving the problems.

Reasons:

The time it takes 2 members to solve 13 problems = 1 hour

The rate at which each team member solve problems = The same rate

Required:

The number of team members to solve 39 problems in 1 hour

Solution:

The time it takes 2 members to solve 13 problems = 1 hour

Let x represent the number of team members needed to solve 39 problems in 1 hour.

Using a proportional relationship approach, given that the duration is the same, we have;

\(\displaystyle \frac{2}{x} = \mathbf{\frac{1}{3}}\)

Which gives;

2 × 3 = x × 1

6 = x

x = 6

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Answer:

a. \(\tt \frac{1}{9}\)

b. \(\frac{1}{16}\)

c. 4

Step-by-step explanation:

\(\tt a. \:3^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\) So, we have:

\(\tt 3^{-2} = \frac{1}{3^2} = \frac{1}{9}\)

\(\hrulefill\)

\(\tt b.\: -2^{-4}\)

We can use the rule that \(\boxed{\tt -a^{-n} = (-1)^n \cdot a^n}.\) So, we have:

\(\tt -2^{-4} = (-1)^4 \cdot 2^{-4} = 1 \cdot \frac{1}{2^4} = \frac{1}{16}\)

\(\hrulefill\)

\(\tt c. \:(\frac{1}{2})^{-2}\)

We can use the negative exponent rule, which states that \(\boxed{\tt a^{-n} = \frac{1}{a^n}}\). So, we have:

\(\tt (\frac{1}{2})^{-2} = \frac{1}{(\frac{1}{2})^2} = \frac{1}{\frac{1}{4}} = 4\)

Answer:

Step-by-step explanation:

(a) 3^-2 = 1/9

(b) (-2)^-4 = 1/(-2)^4 = 1/16

(c) (1/2)^-2 = 1/(1/2)^2=1 / 1/4 = 4

Answer:

The final balance is $571.61.

The total compound interest is $121.61.

Step-by-step explanation:

hope this helps!

Answer:

its inner mars made of gas

and outer Jupiter made of rock

Step-by-step explanation:

i am in high school trust me

Answer:

inner venus made of rock

outer neptune made of gas

Step-by-step explanation:

inner planets are made of rock

outer planets are made of gas

inner planets: mercury, venus,earth. and mars

outer planets: jupiter,saturn,uranus and neptune

hope that helped!!!

The simplified cube roots expressions are:

Rational numbers: Rational numbers include terminating decimals, non-terminated with repeating decimals, perfect squares, integers, whole numbers, perfect squares, and fractions.

Example: 2.434343; 5.2; 1/2, -8; √4; etc.

Irrational numbers: Irrational numbers include non-terminated decimals, non-repeated decimals, non-perfect squares, and infinite decimals, and do not form ratios of two numbers.

Example: π = 3.141.....; √2; e/√2; etc.

The given cube root expressions are:

1. \(\sqrt[3]{81}\)

2. \(\sqrt[3]{-64}\)

Simplifying the first expression, we get

\(\sqrt[3]{81}=\sqrt[3]{3\times3\times3}\)

⇒ \(\sqrt[3]{81}\) = 3∛3 = 4.3267....

Thus, the cube root of 81 gives an irrational number since it is a non-terminating decimal and has no repeated decimals in it.

Now, simplifying the second expression, we get

\(\sqrt[3]{-64}=\sqrt[3]{-4\times-4\times-4}\)

⇒ \(\sqrt[3]{-64}\) = -4

Since the result is an integer, the cube root of -64 is a rational number.

Therefore, the given cube root expressions give irrational and rational numbers respectively. They are:

\(\sqrt[3]{81} =4.32674...\)  and \(\sqrt[3]{-64} = -4\)

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Answer:

1)4

2)28

3)18.3

4)38.5

5)22.5

6)19.25

7)25.5

8)69.666

9)6.5

10)22.666

Step-by-step explanation:

1)8/5*5/2=4

2)21/5*20/3=7*4

                  =28

3)33/4*20/9=11*5/3

                   =55/3

                   =18.33...

                   =18.3

4)35/6*33/5=7*11/2

                   =77/2

                   =38.5

5)22/8*90/11=45/2

                    =22.5

6)11/3*21/4=11*7/4

                 =77/4

                 =19.25

7)34/5*15/4=34*3/4

                  =25.5

8)22/3*57/6=11*19/3

                   =209/3

                   =69.666

9)39/8*4/3=13/2

                 =6.5

10)17/2*8/3=17*4/3

                 =68/3

                 =22.666

Hope you got this

If you have any doubt please ask me

If you need this in fraction form just check the attachment

The maximum and minimum points of the function are (a) (3π/2, -1) (-π/2, -1), (π/2, 3)

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

y = –2 cos (x + π/2) + 1.

Calculating the maximum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the maximum points to be (π/2, 3)

Calculating the minimum

Here, we have

y = –2 cos (x + π/2) + 1.

Next, we plot the graph of the function

From the graph of the function, we have the minimum points to be

(3π/2, -1) (-π/2, -1)

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\(\color{plum}\tt \: Answer \: \: part \: \: 1 :\)

All cubes have six faces. Likewise, the cube shown above also has 6 faces.

\(\color{plum}\tt \: Answer \: \: part \: \: 2 :\)

Length of side of one face of cube = 3 inches

Area of one face :

= Side × Side

= 3 × 3

= 9 inch²

Therefore, the area of one face of this cube = 9 inch²

\(\color{plum}\tt \: Answer \: \: part \: \: 3 :\)

Area of cube = sum of the area of all faces

Then, the area of this cube :

\( = 9 + 9 + 9 + 9 + 9 + 9\)

\( = 9 \times 6\)

\( = 54 \: \: {inches}^{2} \)

Therefore, the area of this cube = 54 inches²

Answer: 54

Step-by-step explanation: