A client asked Nathan to design a rectangular garden with an area of 22 square feet. The client also requested that the length of the garden be eight feet less than seven times the width

Hey there!

10/5

= 10 ÷ 5

= 2

Let’s check to see if your answer is accurate:

5 + 5

= 2 + 2 + 2 + 2 + 2

= 4 + 4 + 2

= 8 + 2

= 10

Thus, 10 ÷ 5 does equal 2

Therefore, your answer is: 2

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

300 g

Step-by-step explanation:

weight of a can of biscuits= (23- 0.5)/15= 1.5 kg

weight of 8 cans= 1.5 * 8= 12 kg

mass of the empty box Q= 12.3- 12= 0.3 kg= 300 g

Answer:

300 g or 0.3 kg

Step-by-step explanation:

23 kg - 500g = 22.5 kg

each can of biscuits weighs 22.5 ÷ 15 = 1.5 kg

if the box Q weighs 12.3kg when there's 8 box of biscuits then

8 × 1.5 = 12 kg is the weight of biscuits and the remaining 300 g is box Q's weight

Solution

Given that the Perimeter is: 340 yards. Lenght is 91 yards

Since P = 2(L + W)

where L is the Length

W is the width

=> 340 = 2(91 + W)

=> 340 = 182 + 2W

=> 158 = 2W

Dividing both sides by 2

=> W = 79

Hence, the width is 79 yards

Answer: it would be 79yards

Step-by-step explanation: 91•2=182

340-182=158

158/2=79yards

The radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

To find the radius of the silo, we need to determine the radius of the cylindrical section.

The volume of the cylindrical section can be calculated using the formula:

\(V_{cylinder} = \pi * r^2 * h\)

where \(V_{cylinder}\) is the volume of the cylindrical section, r is the radius of the cylindrical section, and h is the height of the cylindrical section.

Given that the cylindrical section is 30 ft tall, we can rewrite the formula as:

\(V_{cylinder} = \pi * r^2 * 30\)

To find the radius, we can rearrange the formula:

\(r^2 = V_{cylinder} / (\pi * 30)\)

Now, we can substitute the total volume of the silo, which is 10,000 cubic feet, and solve for the radius:

\(r^2 = 10,000 / (\pi * 30)\)

Simplifying further:

\(r^2 = 106.103\)

Taking the square root of both sides, we find:

\(r = \sqrt{106.103} = 10.3\)

Therefore, the radius of the silo which is in the shape of cylinders and spheres  , correct to the nearest tenth of a foot, is approximately 10.3 feet.

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Answer:

a 90° clockwise rotation about the origin and a reflection across the x-axis

Step-by-step explanation:

A 90° counterclockwise rotation about the origin means a right angle about the origin in opposite direction the needle would point to (9=45 mins)the reflection of it would mean the needle is at 3 = 15 min

Yes shape I is congruent to shape II because on both shape the needle lies on the x- axis.

a reflection across the y-axis and a 90° clockwise rotation about the origin

a 90° counterclockwise rotation about the origin and a reflection across the y-axis

a 90° counterclockwise rotation about the origin

a 90° clockwise rotation about the origin and a reflection across the x-axis

a 90° clockwise rotation about the origin

Answer:

answer is C and E

Step-by-step explanation:

Answer:

A. -4

Step-by-step explanation:

For solving for x intercepts analytically. You can set the the y in the equation to 0. So, 2x-3(0)=12, and solving for x will get you -4.

You can also solve graphically by plugging in the equation and looking at where it intercepts the x axis.

Answer:

a = 4  b = 1  c = 9

Step-by-step explanation:

Answer:

you want to "isolate"  the variable "p" sooo...

Step-by-step explanation:

add 17 to both sides of the equation....  so you get

p = -6  :)

Answer:

1. >

2. <

3. =

Step-by-step explanation:

100x8=800, 4*7=28, multiplied by 25 is 700, therefore making 800 greater than 700. Whenever comparing two multiplication problems, multiplying large numbers produces large results, so whichever starts larger will have an end result that is larger. 100 was large and it is smaller to its counter 25.

36 elevens really means 11x36, which is 396. 40 elevens really means 40x11, which is 440 minus 11x3 which is 407. 407 is greater than 396. The same logic applies here as the previous answer, the only difference is that the removal of three elevens is still larger than 36 elevens in this case.

12x24=288, 6x24=144, doubled makes it 288. In this case, the six is half of the twelve to begin with and then is made up for later by the fact that it is doubled.

When I solve math questions like these, I ignore the fact that it doesn't want a mathematical answer, do the math anyway and pull logic from it. (If your teacher checks, do it on a separate piece of paper, and then toss it.)

Answer:

See Explanation

Step-by-step explanation:

Given

\(1\ can = 2.2m^2\)

Required

Determine the number of cans for the wall

The dimension of the wall is not given. So, I will use the following assumed values:

\(Length=20m\)

\(Width = 44m\)

First, calculate the area of the wall

\(Area = Length * Width\)

\(Area = 20m * 44m\)

\(Area = 880m^2\)

If \(1\ can = 2.2m^2\)

Then \(x = 880m^2\)

Cross Multiply:

\(x * 2.2m^2 = 1 * 880m^2\)

\(x * 2.2m^2 = 880m^2\)

\(x * 2.2 = 880\)

Make x the subject

\(x = \frac{880}{2.2}\)

\(x = 400\)

400 cans using the assume dimensions.

So, all you need to to is, get the original values and follow the same steps

Using trigonometric identities and algebraic manipulation, the solution to the equation sin(2x) = -3sin(x) + 4  is x = kπ, where k is any integer.

To solve the equation sin(2x) = -3sin(x) + 4:

1. Start by using the double-angle identity for sine:

  2sin(x)cos(x) = -3sin(x) + 4

2. Rearrange the equation:

  2sin(x)cos(x) + 3sin(x) - 4 = 0

3. Factor out sin(x):

  sin(x)(2cos(x) + 3) - 4 = 0

4. Set each factor equal to zero:

  sin(x) = 0    or    2cos(x) + 3 = 0

5. Solve the first equation sin(x) = 0:

  The solutions for sin(x) = 0 are x = 0 + kπ, where k is an integer.

6. Solve the second equation 2cos(x) + 3 = 0:

  Subtract 3 from both sides: 2cos(x) = -3

  Divide by 2: cos(x) = -3/2

Since the cosine function has a range of [-1, 1], there are no real solutions for cos(x) = -3/2. Thus, there are no solutions for this part of the equation.

Therefore, the solutions to the equation sin(2x) = -3sin(x) + 4 is x = kπ, where k is any integer.

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Answer:

The slope is 3.

Step-by-step explanation:

Answer:

3/1

Step-by-step explanation:

pick two points on the line. I'll do it with (40,20) and (50,50)

to find the slope use m=rise/run, or m=y2-y1/x2-x1

m=50-20/50-40

m=30/10

simplify.

m=3/1

Your slope is 3/1

You rise three and run one to get to the next point

To find the z-score for a sales associate who earns $37,500, we can use the formula:

z = (x - μ) / σ

Where:

x is the value we want to convert to a z-score (in this case, $37,500),

μ is the mean of the distribution (in this case, $32,500), and

σ is the standard deviation of the distribution (in this case, $2,500).

Substituting the given values into the formula, we have:

z = (37,500 - 32,500) / 2,500

z = 5,000 / 2,500

z = 2

Therefore, the z-score for a sales associate who earns $37,500 is 2.

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The z-score for a sales associate earning $37,500 in a system where the mean salary is $32,500 and the standard deviation is $2,500 has a z-score of 2. This score indicates that the associate's salary is two standard deviations above the mean.

The z-score represents how many standard deviations a value is from the mean. In this case, the value is the salary of a sales associate, the mean is the average salary, and the standard deviation is the average variation in salaries.

We calculate the z-score by subtracting the mean from the value and dividing by the standard deviation, like so:

Z = (Value - Mean) / Standard Deviation

So, the z-score for an associate earning $37,500 would be:

Z = ($37,500 - $32,500) / $2,500

This gives us a z-score of +2, indicating that a salary of $37,500 is two standard deviations above mean.

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Answer:

Refer to explanation^

Step-by-step explanation:

Find out the value of each card.

4 - 10 = 6

-4 + (-10) which is -4 - 10 = -14

-4 + 10 = 6

4 + (-10) which is 4 - 10 = -6

4 - (-10) which is 4 + 10 = 14

-4 - 10 = -14

-4 - (-10) = -4 - 10 = -14

4 + 10 = 14

Find the cards which have the same value and just match them up.

The horizontal distance covered by Viola is approximately 1282.6 meters.

The height of the plane is approximately 461.7 meters

The height of the pole is approximately 159.8 feet.

The perimeter is 44.2.

The horizontal distance covered by Viola can be calculated by using trigonometry. The angle of inclination is 9°, and the distance traveled up the hill is 200 meters.

Let x be the horizontal distance covered. Then we have:

tan(9°) = 200/x

x = 200/tan(9°) ≈ 1282.6 meters

Therefore, the horizontal distance covered by Viola is approximately 1282.6 meters.

We can use trigonometry to find the height of the plane. Let h be the height of the plane above the atoll, and let d be the horizontal distance from the airplane to the atoll. Then we have:

tan(7°) = h/d

h = d * tan(7°) ≈ 461.7 meters

Therefore, the height of the plane is approximately 461.7 meters.

We can use trigonometry to find the height of the pole. Let h be the height of the pole, and let d be the distance from the surveyor to the base of the pole. Then we have:

tan(44°) = h/(d + 4)

h = (d + 4) * tan(44°)

h = (140 + 4) * tan(44°) ≈ 159.8 feet

Therefore, the height of the pole is approximately 159.8 feet.

In a 30°-60°-90° triangle, the hypotenuse is twice as long as the shorter leg and √3 times as long as the longer leg. Therefore, the shorter leg has length 18/2 = 9, and the longer leg has length 18√3/2 = 9√3.

The perimeter of the triangle is the sum of the lengths of the three sides, which are 9, 9√3, and 18. Therefore, the perimeter is:

9 + 9√3 + 18 = 27 + 9√3 ≈ 44.2

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Answer:

Step-by-step explanation:

1) Why is f(x)=(3x+1/3)^2+8/9 not the vertex form of f(x)=9x^2+2x+1?

A.The expression has a constant outside of the squared term.

B. The expression is not the product of two binomials.

C. The variable x has a coefficient.

D. Some of the terms are fractions instead of integers.

Vertex form is a(x -h)^2 +k. The coefficient of x inside parentheses is 1. The given form is not vertex form because the leading coefficient has not been removed to outside parentheses.

__

2) What is the vertex of the parabola with the equation y=(x−2)^2+10?

A. (−2, −10)

B. (2, 10)

C. (−2, 10)

D. (2, −10)

Vertex form is a(x -h)^2 +k. Comparing to the given equation, we find the vertex (h, k) = (2, 10).

__

3) For the given function, identify the x- and y-intercepts if any, the vertex, the axis of symmetry, and the maximum or minimum value. f(x)=−x^2+25

A. The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,−25). The vertex is (0,−25). The axis of symmetry is x=0. The minimum value of the function is −25.

B. There are no x-intercepts. The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is y=0. The maximum value of the function is 25.

C. The x-intercepts are (−5,0) and (5,0). The y-intercept is (0,25). The vertex is (0,25). The axis of symmetry is x=0. The maximum value of the function is 25.

D. The x-intercepts are (−25,0) and (25,0). The y-intercept is (0,5). The vertex is (0,5). The axis of symmetry is x=0. The maximum value of the function is 5.

The x-intercepts are the values of x that make y=0. They are (±5, 0). The y-intercept is the value of y when x=0. It is (0, 25).

__

4) A student says that the function f(x)=−x^2−9 has the x-intercepts (−3,0) and (3,0). Is the student correct? If not, explain why.

A. The student is correct.

B. The student is not correct. The equation f(x)=0 has one real solution, so the x-intercept is (9,0).

C. The student is not correct. The equation f(x)=0 does not have any real solutions, so the graph has only one x-intercept, (0,0).

D. The student is not correct. The equation f(x)=0 does not have any real solutions, so the graph does not have any x-intercepts.

The parabola opens downward and has a maximum value of -9, so cannot cross the x-axis. There are no x-intercepts, hence no real solutions.

Answer:

1/10

Step-by-step explanation:

Because there is ten different numbers so therefore it would be 10/1

Answer:

{1,2,4}

Step-by-step explanation:

Check image for more help

Thankyou

Answer:

Abbey lane is parallel with brittney drive

collin street is perpendicular with brittney drive

Doltan road is parallel with abbey lane

Edward street is perpendicular to doltan road

From the given conditions the map can be constructed in many ways,

we can construct the map as,

The friend's thinking is incorrect, and the probability of the next flip being tails is still 50%.

There is no law of averages for the short run.

The first five flips do not affect the sixth flip. C

Each flip of a coin is an independent event, meaning the outcome of one flip does not affect the outcome of the next flip.

The fact that the friend has flipped five heads in a row does not increase or decrease the probability of the next flip being heads or tails.

The probability of getting heads or tails on any given flip is always 50%, regardless of the outcomes of previous flips.

This is known as the "law of large numbers," which states that the long-run frequency of an event will approach its theoretical probability as the number of trials increases.

The short run, anything can happen, and streaks or patterns can occur by chance.

The outcome of one coin flip does not influence the outcome of the subsequent flips since each coin flip is a separate event.

The likelihood that the following flip will result in heads or tails is unaffected by the friend flipping five consecutive heads.

Regardless of the results of prior flips, there is always a 50% chance of receiving heads or tails on every current flip.

This is known as the "l

aw of large numbers," which holds that as the number of trials rises, the long-run frequency of an occurrence will approach its theoretical probability.

In the near term, anything is possible, and streaks or patterns might arise by accident.

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Answer:

Step-by-step explanation:

The second one

Answer:

752 ft

Step-by-step explanation:

Assuming t represents time, and the time we are trying to find is how high the rockets go after 1.5 seconds, we must take the equation and put 1.5 in wherever t occurs, this looks like:

-16(1.5)²+64(1.5)+80

solving this, we get:

-24²+96+80

576+96+80

752

Answer:

Step-by-step explanation:

<B is a complement of <A

=> m<A + m<B = 180°

65.2° + m<B = 180°

m<B = 180° - 65.2° =114.8°

Answer:

24.8

Step-by-step explanation:

Complementary means they add u to 90°. So to find the  measurement of ∠B you must subtract ∠A from 90°. ∠A = 65.2. 90 - 65.2 = ∠B.   90 - 65.2 = 24.80°

Answer:

Equations: 2.00A+0.75S=1109, A+S=937

Step-by-step explanation:

2.00a+0.75s=1109

2a+2s=1874

If you need number of students/adults, solve further by elimination

(but you asked for equations)

Answer:

50%

Step-by-step explanation:

change in price = 1.50 - 1 = £0.50

original price = £1

%change = change/original × 100%

= 0.50/1 × 100%

= 50%

Answer:

PT = 17

Step-by-step explanation:

Since T is the midpoint of PQ, then

PT = TQ , substitute values

4x + 5 = 8x - 7 ( subtract 4x from both sides )

5 = 4x - 7 ( add 7 to both sides )

12 = 4x ( divide both sides by 4 )

3 = x

Thus

PT = 4x + 5 = 4(3) + 5 = 12 + 5 = 17

Answer:

17

Step-by-step explanation:

since T is mid point of PQ

PT=TQ

\(4x + 5 = 8x - 7 \\ 5 + 7 = 8x - 4x \\ 12 = 4x \\ x = 12 \div 4 \\ x = 3 \\ \)

so

\(pt = 4x + 5 \\ = 4(3) + 5 \\ = 12 + 5 \\ pt = 17\)

Answer:

38.56

Step-by-step explanation:

hope this helps