Solve the system algebraically. Check your work. 5x + 2y = 10 3x + 2y = 6 ANSWER: {( D]​

Answer:

(0,2)

(3,0)

Step-by-step explanation:

The area of the rectangle is 108cm²

The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units.

So, the area of a rectangle is the number of unit squares within the boundary of the rectangle or the space occupied within the perimeter of this shape is called the area of the rectangle.

The area of a rectangle is Length ×width

perimeter of a rectangle = 2(l+w)

l= 3w

therefore P= 2(3w+w)

P= 2(4w)

p= 8w

p=48cm

48= 8w

divide both sides by 8

w= 6cm

from l= 3w

l= 3×6= 18cm

therefore the area of the rectangle is 18×6= 108cm²

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Therefore , the solution of the given problem of unitary method comes out to be it will cost $27.00 to purchase enough sand to fully fill the sandbox.

The job can be finished by combining the data obtained that use this nanosection method throughout all additional variable data of two people who used a single method. Simply put, this indicates that when a desired result manifests, either equation  the stated entity would be known or, in actuality, the colour by both enormous operations would be skipped. A changeable fee of Rupees ($1.01) may well be necessary for forty pens.

Here,

The playground has the following size:

=> 3 m x 2 m x 1 m = 6 cubic meters

We require 6 cubic metres of sand to fully fill the sandbox.

Sand will cost $4.50 per cubic metre in total, which equals:

=> $4.50 per cubic metre times 6 cubic metres equals $27.00.

Therefore, it will cost $27.00 to purchase enough sand to fully fill the sandbox.

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The arc length is 7/2 pi.

Using the scale ratio, the length of the dress is: 6 ft.

Given a scale for the dress pattern as, 2 inches : 1 foot, it means 2 inches of the model equals 1 foot of the actual dress.

Therefore, using the scale ratio, let x represent the length of the dress. We would have:

2/1 = 12/x

x = (12 × 1)/2

x = 6 ft.

The length of the dress is: 6 ft.

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Evaluating the composition of functions in x = 1 gives:

f(g(1)) = 28

Here we have the two functions:

f(x) = 4x

g(x) = 2x + 5

And we want to find to find the composition f(g(x)), we will get:

f(g(x)) = 4*g(x)

Replacing g(x) there we will get:

f(g(x)) = 4*(2x + 5)

         = 8x + 20

Now we can evaluate that in x = 1, then we will get:

f(g(1)) = 8*1 + 20 = 28

That is what we wanted to find.

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Answer:

bottom =80m^2

Side =50m^2

triangle = 3 ×8 ×5

The 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).

C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.

To construct a 90% confidence interval for the population proportion of adults who believe in UFOs, we can use the formula:

Confidence Interval = Sample Proportion ± Margin of Error

First, we calculate the sample proportion:

Sample Proportion \(\hat{p}\) = Number of adults who believe in UFOs / Total number of adults surveyed = 736 / 2266 ≈ 0.324

Next, we need to calculate the margin of error.

Since we are dealing with a large sample size, we can use the formula for a 90% confidence interval:

Margin of Error\(= Z \times \sqrt{(\hat{p} \times (1 - \hat{p}) / n)}\)

Here, Z represents the z-value for a 90% confidence level, which corresponds to a z-value of 1.645. n represents the sample size.

Margin of Error\(= 1.645 \times \sqrt{(0.324 \times (1 - 0.324) / 2266)}\) ≈ 0.015

Finally, we can construct the confidence interval:

Confidence Interval = 0.324 ± 0.015 = (0.309, 0.339)

Therefore, the 90% confidence interval for the population proportion of adults who believe in UFOs is (0.309, 0.339).

Now, let's interpret the results.

The correct answer is:

C. With 90% confidence, it can be said that the population proportion of adults who believe in UFOs is between the endpoints of the given confidence interval.

This means that we are 90% confident that the true proportion of adults who believe in UFOs falls within the range of 0.309 to 0.339.

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Answer:

395, 396, 397, 398, 399

Step-by-step explanation:

Answer:

1. 358

2. 363

3.401

4.447

5.439

Answer:

Answer is B

Step-by-step explanation:

This is because you can combine both the green tiles. With the other options, you can't combine them.

(also I did the test )

Answer:

The answer is in ur head lololol

Step-by-step explanation:

Its b

Answer:

i belive that the greek philosopher and mathematician was Archimedes

The cost of the molding is given as follows:

$119.30.

The circumference of a circle of radius r is given by the equation presented as follows:

C = 2πr.

The parameters for this problem are given as follows:

d = 9 -> r = 4.5.

(as the radius is half the diameter)

Hence the circumference is given as follows:

C = 2 x π x 4.5

C = 28.27 ft.

The cost is of $4.22 per ft, hence the total cost is given as follows:

4.22 x 28.27 = $119.30.

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For the points DE, the slope is derived as;

For the points FG;

As per the given variables, Victor jumped a total of 4 yards.

Total yards jumped = 6 feet high

Additional yards = 2

A yard is one linear yard. "Yd" is the yard symbol. The standard of measurement has always been derived from either a natural item or a portion of the human body, such as a foot, an arm's length, or the width of a hand.

Converting the initial jump of 6 feet to yards, as the additional distance given is also in yards.

There are 3 feet in a yard, therefore -

6 feet = 6/3  

= 2

Thus, Victor jumped 2 yards initially, and then 2 more yards as given in the problem.

Calculating, the total distance Victor jumped in yards -

= 2 + 2

= 4

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Answer:

Step-by-step explanation:

Answer:

-6.5

Step-by-step explanation:

Answer: I believe

M = 80

Step-by-step explanation:

100 - 20 = 80

Answer:

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

Simplify in below steps:

Answer:

part A 2.6+1.7+9.8-4.2=9.9

part B 6.7-9.9+22-28.46=9.66

Step-by-step explanation:

Part A

First find the square root.

the square root of 7 is 2.6

the square root of 3 is 1.7

the square root of 98 is 9.8

the square root of 18 is 4.2

Then: add and subtract them

2.6+1.7+9.8-4.2=9.9

Part B

I don't know how to explain the next part so I will just give you the answer

6.7-9.9+22-28.46=9.66

I hoped this helped

Answer:

3m² + m + 7​

Explanation:

(2m² + 6m) + (m² – 5m + 7)

Remove Parenthesis

2m² + 6m + m² – 5m + 7

Group Like Terms

2m² + m² + 6m - 5m + 7

Add Similar Elements

2m² + m²: 3m²

6m - 5m = m

3m² + m + 7

Step-by-step explanation:

hope it's helpful for you

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ANSWER

My answer is in the photo above

The number of smaller card that could be cut from the larger rectangular card is 64.

Yuri has a large rectangular card measuring 1.2 meters by 0.8 meters, he wants to cut it up to make small rectangular cards each measuring 13 cm by 11.5 cm.

Let's convert the units.

1.2 m = 120 cm

0.8 = 80 cm

Therefore, let's find the area of the rectangular card.

area of the large rectangular card = lw

where

area of the large rectangular card = 120 × 80

area of the large rectangular card = 9600 cm²

area of each small rectangular card = 11.5 × 13.5

area of each small rectangular card = 149.5 cm²

Therefore,

largest number of card that can be cut out from the larger card = 9600 / 149.5 = 64.2140468227

largest number of card that can be cut out from the larger card ≈ 64

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Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Equation of regression line :

Yˆ = −114.05+2.17X

X = Temperature in degrees Fahrenheit (°F)

Y = Number of bags of ice sold

On one of the observed days, the temperature was 82 °F and 66 bags of ice were sold.

X = 82°F ; Y = 66 bags of ice sold

1. Determine the number of bags of ice predicted to be sold by the LSR line, Yˆ, when the temperature is 82 °F.

X = 82°F

Yˆ = −114.05+2.17(82)

Y = - 114.05 + 177.94

Y = 63.89

Y = 64 bags

2. Compute the residual at this temperature.

Residual = Actual value - predicted value

Residual = 66 - 64 = 2 bags of ice

Answer:

Slope- y=1/4x-6

Y intercept= (0,-6)

Hope this helps!

The equation that represents the condition is m° + 66° + m° = 120°. Then the value of m is 27°.

When two lines intersect, then their opposite angles are equal. Then the equation is given as,

m° + 66° + m° = 120°

Simplify the equation for m, then the value of 'm' is calculated as,

m° + 66° + m° = 120°

2m° = 120° - 66°

2m° = 54°

m° = 27°

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Answer:

990 very simple you could use a calculator next time