Keith is a gardener and he can plant 40 bushes in 8 hours. How many bushes can he plant in 2 hours?

Answer:

(3,-1)

Step-by-step explanation:

So we have the system of equations:

\(3x+y=8\\2x-y=7\)

As directed, add straight down. The y-variable will cancel:

\(5x=15\)

Now, divide both sides by 5. The left cancels:

\(x=3\)

So x is 3.

Now, substitute 3 for x in either of the equations:

\(3x+y=8\)

Substitute 3 for x:

\(3(3)+y=8\)

Multiply:

\(9+y=8\)

Subtract 9 from both sides:

\(y=-1\)

So, our answer is: x=3, y=-1 or (3,-1).

And we are done :)

Answer:

3/4 a pan

Step-by-step explanation:

2 - 1 1/4 = 3/4

two seperated into fourths would look like this

1/4 1/4 1/4 1/4

1/4 1/4 1/4 1/4

one seperated into fourths would look like this

1/4 1/4 1/4 1/4

so take one and one extra fourth away from two and you're left with

1/4 1/4 1/4

add that together and you have 3/4

Answer:

Slope: 5/2 or 2.5

Step-by-step explanation:

1. Put both of the y values together on the top of a fraction and the x values on the bottom.

It should look like this: \(\frac{8-3}{-3-(-5)}\)

2. Now you need to simplify the y and x values. -3-(-5) is equal to 2 and 8-3 is 5.

I should now look like this: \(\frac{5}{2}\)

3. That could be your answer as a fraction. Or you can take the extra step and  actually divide them. 5 divided by 2 is 2.5.

In the end, you will have a result of 5/2 or 2.5. That it the slope of the line of the points (-5,3) and (-3,8). I hope this helps and you actually understand it. Remember, don't cheat! Always do your best! Good luck!

The given points are:

As we know,

Slope, \(m = \frac{y_2-y_1}{x_2-x_1}\)

By substituting the values, we get

               \(= \frac{8-3}{-3-(-5)}\)

               \(= \frac{5}{-3+5}\)

               \(= \frac{5}{2}\)

Thus the above answer is right.

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Answer: Covert the mixed number to an improper fraction for them to be too simple fractions and multiply them.

Step-by-step explanation:

By multiply fraction  by a mixed fraction you will have to rewrite the mixed number as an improper fraction.

For example ,

1  1/2  is a mixed fraction. If you convert it to improper fraction, you will get 3/2 then you multiply.

due to unavailability of graph I sketched a rough diagram so hope this ans. helps you dear....take care!

Answer:

I believe that it should be Y; Height of an emperor penguin on Antarctica

Answer:

Z = "results of flipping two coins"

Step-by-step explanation:

A discrete variable is one which can take only certain values and usually represents values that are counted. The result of flipping two coins can only take a certain number of values of heads or tails (1 head and 1 tail, two heads, or two tails); therefore it is a discrete variable.

A continuous variable is one which can take any value, and usually represents values that are measured. The rest of the options provided (W, X, and Y) are all measurements, and are therefore continuous, not discrete.

Also, among the options presented, option Z is the only one which is "random".

The values are 1) x = 6, y = 2√3 and 2) x = 49, y = 49√3.

Given are two right triangles we need to find the missing sides,

We will use Trigonometric ratios to find the same.

We know that,

Sin a = perpendicular / hypotenuse

Cos a = base / hypotenuse

Tan a = perpendicular / base

1) Sin 60° = x / 4√3

x = √3/2 × 4√3

x = 6

Cos 60° = y / 4√3

1/2 × 4√3 = y

y = 2√3

2) Cos 60° = x / 98

x = 1/2 × 98

x = 49

Sin 60° = y / 98

√3/2 = y / 98

y = 49√3

Hence the values are 1) x = 6, y = 2√3 and 2) x = 49, y = 49√3.

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Answer:

D=1

Step-by-step explanation:

1. Combine multiplied terms into a single fraction
2. Cancel terms that are in both numerator and denominator
3. Divide by 1

Answer:

I honestly don't know but I think its all real numbers but not zero

Step-by-step explanation:

Based on the distance that Jill is above sea level, and the distance of the whale, the difference in elevation is 1.35 km.

Jill's elevation relative to sea level is:

= +5/4 km

The whale's elevation relative to sea level is:

= - 0.1 km

The difference is therefore:

= 5/4 - (-0.1)

= 1.25 + 0.1

= 1.35 km

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Answer:

The regular price r of a museum ticket before the discount is $60

Step-by-step explanation:

What is discount?

Discount is a reduction made from the gross amount or value of something.

What is regular price?

Regular price means the price at which similar goods or services are regularly sold on the market.

Given,

\(54=0.9r\\r=54/0.9\\r=60\)

The regular price r is $60

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Answer:

The regular price r of a museum ticket before the discount is $60

Step-by-step explanation:

hope this helps

Answer:

88

Step-by-step explanation:

We are given the expression:

x+43x

and asked to evaluate when x=2. Therefore, we must substitute 2 in for x.

x + 43 x (plug 2 in for each x )

2+43(2)

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Multiply 43 and 2 first.

2+ (43*2)

2+ 86

Add 2 and 86.

88

The expression x+43x when evaluated for x=2 is 88.

Answer:

1

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) The linear approximation of g(x) at x=b will be ...

  g(x) ≈ g'(b)(x -b) +g(b)

Using the given relations, this is ...

  g'(3) = 3² +7 = 16

  g(x) ≈ 16(x -3) -1

Then the points of interest are ...

  g(2.95) ≈ 16(2.95 -3) -1 = -1.8

  g(3.05) ≈ 16(3.05 -3) -1 = -0.2

__

(b) At x=3, the slope of the curve is increasing, so the tangent lies below the curve. The estimates are too small. (Matches description A.)

Answer:

x + 7

Step-by-step explanation:

x2 + 4x − 21

set equal to 0

x2 + 4x − 21 = 0

factor

(x - 3) (x + 7)

x2 + 11x + 28

set equal to 0

x2 + 11x + 28 = 0

factor

(x + 4) (x + 7)

Based on the fact that sales tax in Connecticut is 6.35%, the price of a single pack of gum can be shown by the function, p(g) = 4g + 0.254g

The price of a single pack of gum is g and Sarah bought 4 packets.

The total cost of her purchase is:
= (4 x price of single pack) x ( 1 + Sales tax rate)

When expressed in terms of g, the function is:

= 4g x (1 + 6.35%)

p(g) = 4g + 0.254g

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Answer:

Hi

please mark brainliest ❣️

Thanks

Step-by-step explanation:

10 + x / 3 = 12

Cross multiply

10 + x = 12× 3

10 + x = 36

Collect like terms

x= 36 - 10

x = 26

Answer:

17

Step-by-step explanation:

43-26=17

Answer:

17

Step-by-step explanation:

Huong ran 26 miles more than Eduardo so you would subtract 26 from the amount Huong actually ran to get how many miles Eduardo ran.

So the equation would be...

43-26= 17

For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.

Bias is an error due to sampling or testing by selecting or preferring one outcome over others.

Leo applies brand A to an area of the yard that receives full sunlight and brand B to another area of the yard that is in partial shade. This shows that Leo is bias.

For Leo conclusion to be valid, he should apply both brand A and B to area receiving same amount of sunlight.

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Answer:

His conclusion is not valid. 

He should have put both tarps over the area of the yard that receives full sunlight. So that the experiment can be valid.

Step-by-step explanation:

Number of physics textbooks sold was 261 & number of maths textbooks sold was 199.

Let, the number of physics textbooks sold = x

According to the question,

The number of math textbooks sold was 62 less than the number of physics textbooks sold.

So, Number of maths textbooks sold = x-62

The textbook store sold a combined total of 460 physics and math textbooks in a week.

So, the equation becomes,

(x-62)+x = 460

⇒ x-62+x = 460

⇒ 2x-62 = 460

⇒ 2x = 460+62

⇒ 2x = 522

⇒ x = 522/2

⇒ x = 261

So, 261 physics textbooks were sold

(261-62) = 199 maths textbooks were sold.

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Yes, the construction demonstrates how to copy an angle correctly using technology.

The use of technology in copying an angle ensures accurate and precise results. With the aid of digital tools, such as geometry software or drafting software, it becomes easier to replicate an angle with high precision. These tools provide features like angle measurement and construction tools, allowing users to create an exact replica of a given angle.

By selecting the vertex and the two rays of the angle, the software can automatically duplicate the angle, ensuring that all the properties and measurements are preserved. This technology enables efficient and reliable angle copying, reducing the chances of human error and enhancing the overall accuracy of the construction process.


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Answer:

$5160

Step-by-step explanation:

Each year, he earns 5% of 8600 = 0.05 * 8600 = $430

After 12 years, she will earn 12 * 430 = $5160 in interest

Answer:

Domain all reals

Range  all reals

Step-by-step explanation:

The domain is the values that x can take, or the values of the input

x can be any real number

The range is the values that y can take, or the values of the output

y can be any real number

Answer:

C)

Step-by-step explanation:

it's fully continous, linear function thus all values are possible for both, x and y

The probability that the selected product is a hardware product given that is from company B is x/50.

The probability that the selected product is a hardware product given that is from company A is 3/7.

The value of x must be greater than 21 so that the probability in part (a) is greater than the probability in part (b).

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Company A:

Total product = 70

Software product = 40

Hardware product = 30

Company B:

Total product = 50

Software product = y

Hardware product = x

The probability that the selected product is a hardware product given that is from company B.

= x/50 ____(1)

The probability that the selected product is a hardware product given that is from company A.

= 30/70

= 3/7 _____(2)

From (1 ) and (2) we get,

x/50 > 3/7

x > 3/7 x 50

x > 21

Thus,

The probability that the selected product is a hardware product given that is from company B is x/50.

The probability that the selected product is a hardware product given that is from company A is 3/7.

The value of x must be greater than 21 so that the probability in part (a) is greater than the probability in part (b).

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Answer:

(6, -11), (-10, -7) and (-2, -11)

Step-by-step explanation:

Coordinates of a triangle are represented in the form of a matrix as,

\(\begin{bmatrix}x_1 & x_2 & x_3\\ y_1 & y_2 & y_3\end{bmatrix}\)

If the given triangle is shifted by 1 unit left and 4 units down,

Translation of vertices in the matrix form will be,

\(\begin{bmatrix}x_1 & x_2 & x_3\\ y_1 & y_2 & y_3\end{bmatrix}+\begin{bmatrix}-1 & -1 & -1\\ -4 & -4 & -4\end{bmatrix}\)

For a triangle having vertices (7, -7), (-9, -3) and (-1, -7) when shifted 1 units left and 4 units down will be,

\(\begin{bmatrix}7 & -9 & -1\\ -7 & -3 & -7\end{bmatrix}+\begin{bmatrix}-1 & -1 & -1\\ -4 & -4 & -4\end{bmatrix}\)

= \(\begin{bmatrix}7-1 & -9-1 & -1-1\\ -7-4 & -3-4 & -7-4\end{bmatrix}\)

= \(\begin{bmatrix}6 & -10 & -2\\ -11 & -7 & -11\end{bmatrix}\)

Coordinates of the triangle after the translation will be,

(6, -11), (-10, -7) and (-2, -11)

Answer:

The equation is given by:

\(D(t) = 80 + 9\sin{0.2618t}\)

Step-by-step explanation:

Sine function:

Has the following format:

\(y = A\sin{bx}\)

In which A is the amplitude and \(\frac{2\pi}{b}\) is the period.

Suppose you know the temperature is 80 degrees at midnight and the high and low temperature during the day are 89 and 71 degrees

This means that the amplitude of the sinusoidal variation function is 89 - 80 = 80 - 71 = 9. This means that \(A = 9\)

During a 24-hour day, which means that the period is 24. So

\(\frac{2\pi}{b} = 24\)

\(24b = 2\pi\)

\(b = \frac{2\pi}{24}\)

\(b = 0.2618\)

So the variation is:

\(V(t) = 9\sin{0.2618t}\)

Assuming t is the number of hours since midnight, find an equation for the temperature, D, in terms of t.

Initial temperature of 80, so:

\(D(t) = 80 + V(t) = 80 + 9\sin{0.2618t}\)

Answer:

so your answer is 360 degrees which is an entire circle so out of the circle you have 53 degrees out 360 cut in have is 180 so 53 minus 180 is 27

hence the answer is 27

Answer:324.24??? Not sure just a guess.

Step-by-step explanation: