Shana wants to use all 62 feet of the fencing she has to make a rectangular run for her dog. She decides to make the length of the run 20 feet. She writes and solves the equation 2 l plus 2 w equals 62 to find the width of the run.

Which statements are true of the solution? Check all that apply.

The value of w is 10 feet.
The value of w can be zero.
The value of w cannot be a negative number.
Substitution is used to replace the variable l with a value of 20.
The subtraction property of equality is used to isolate the term with the variable w.

Answer:

110,000 kg

Step-by-step explanation:

Just look at the kilos of flour produced on Wednesday from both plants and add them together :)

Answer:

Baka renejay to HAHAHHA

Answer:

0.25 hours

Step-by-step explanation:

The equation for a linear function is given by:

y = mx + b,

where y and x are variables, m is the rate of change of y with respect to x and b is the initial value of y (value of y when x = 0).

Let x represent the number of hours after 1:00 P.M and let y represent the temperature in degree Fahrenheit.

Let us assume that initial the temperature is 0°F. The temperature changes -4 degrees Fahrenheit per hour. From the equation of a linear function y = mx + b:

m = -4 degrees Fahrenheit per hour, b = 0. Hence:

y = -4x

The time taken to reach -1°F is gotten by substituting y = -1 and finding x:

y = -4x

substituting:

-1 = -4x

x = -1 / -4

x = 0.25 hours

0.25 hours = 0.25 hours * 60 minute / 1 hour = 15 minute

Therefore at 1:15 P.M, the temperature is -1°F

Answer:

time = distance / rate

time = 296 miles / 37 mile per hour

time = 8 hours

Step-by-step explanation:

Answer:

$168

Step-by-step explanation:

Answer:

$168

Discount amount: $112

Step-by-step explanation:

s = l - d/100 * l

s = 280 = 40%/100 * 280

s = 280 - 0.40 * 280

s = 280 - 112

s = 168

Answer:

61cm

Step-by-step explanation:

23 + 23 + 5 + 5 + 5 = 61

hope this helps...

Answer:

The perimeter of the figure is 61 cm

Step-by-step explanation:

The Perimeter of a Shape

It's the sum of all the external side lengths of the shape.

The figure shows a compound shape made of an equilateral triangle and a rectangle.

The external sides are two sides of the triangle and three sides of the rectangle:

P = 5 cm + 5 cm + 23 cm + 23 cm + 5 cm =61 cm

The perimeter of the figure is 61 cm

Answer: 3/2

Step-by-step explanation:

To find the slope, you want to take the two points and plug it into the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]. That will find the slope. The points are (-5,-4) and (-1,2).[tex]m=\frac{2-(-4)}{-1-(-5)} =\frac{6}{4}=\frac{3}{2}[/tex]

Now, we know that the slope is [tex]m=\frac{3}{2}[/tex].

Answer:

100 meters is 8.6 meters longer than 100 yards.

Step-by-step explanation:

Conversion of yards to meters.

Each yard has 0.914 meters.

So 100 yards is 100*0.9144 = 91.4 meters.

How many meters longer to the nearest tenth is 100 meters than 100 yards?

100 yards = 91.4 meters

100 - 91.4 = 8.6

So 100 meters is 8.6 meters longer than 100 yards.

Answer:

Step-by-step explanation:

just add 36 and 3

Answer:

D- y=1/3x-1/2

Step-by-step explanation:

I believe that the slope needs to be opposite and the reciprocal

9514 1404 393

Answer:

  a) 102.4

  b) 72.6

  c) 87.5

Step-by-step explanation:

The average value of a function over an interval is the integral of that function over the interval, divided by the width of the interval.

(a) The summer average is ...

  [tex]\text{summer average}=\displaystyle\dfrac{1}{(\frac{1}{4})}\int_\frac{1}{2}^\frac{3}{4}{T(x)}}\,dx=87.5+23.4\cdot\dfrac{2}{\pi}\approx 102.4[/tex]

__

(b) The winter average is similar:

  [tex]\text{winter average}=87.5-23.4\cdot\dfrac{2}{\pi}\approx 72.6[/tex]

__

(c) The annual average is the value added to the cosine function: 87.5

_____

Additional comment

The integral of the cosine function over the period of interest is ...

  ∫cos(2πx)dx = 1/(2π)sin(2πx)

For the limits x=1/2 and x=3/4, this becomes 1/(2π)(-1 -0) = -1/(2π).

When multiplied by -23.4(1/(1/4)), we get +23.4(2/π).

Answer:

48.26

Step-by-step explanation:

subtract  and thats the answer its 48.26 less than the belt

answer is 13

I hope it helpful

Answer:

The value of p² + r³, when p = 2 & r = 3

(2)²+(3)³=4+27=31

Answer:

x=-4

Step-by-step explanation:

Cross multiply to get:

3x=4(x+1)

3x=4(x+1)

3x=4x+4

x=-4

Answer:

x=-4

Step-by-step explanation:

cross multiply you get 3x=4x+4. solve algebraically you get x=-4

Answer:

55% or 27.2 ounces

Answer:

dog

Step-by-step explanation:

Answer:

Following are the solution to the given equation:

Step-by-step explanation:

Please find the complete question in the attachment file.

In point a:

[tex]\to \mu=\frac{\sum xi}{n}[/tex]

       [tex]=22.8[/tex]

[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]

       [tex]=\sqrt{\frac{119.18}{16-1}}\\\\ =\sqrt{\frac{119.18}{15}}\\\\ = \sqrt{7.94533333}\\\\=2.8187[/tex]

In point b:

[tex]\to \mu=\frac{\sum xi}{n}[/tex]

       [tex]=20.6875[/tex]  

[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]

       [tex]=\sqrt{\frac{26.3375}{16-1}}\\\\=\sqrt{\frac{26.3375}{15}}\\\\ =\sqrt{1.75583333}\\\\ =1.3251[/tex]

In point c:

 [tex]\to \mu=\frac{\sum xi}{n}[/tex]

         [tex]=21[/tex]  

[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]

       [tex]=\sqrt{\frac{2.62}{16-1}}\\\\ =\sqrt{\frac{2.62}{15}} \\\\= \sqrt{0.174666667}\\\\=0.4179[/tex]

In point d:

[tex]\to \mu=\frac{\sum xi}{n}[/tex]

       [tex]=20.8375[/tex]  

[tex]\to \sigma=\sqrt{\frac{\sum (xi-\mu)^2}{n-1}}[/tex]

       [tex]=\sqrt{\frac{8.2975}{16-1}}\\\\ =\sqrt{\frac{8.2975}{15}} \\\\ =\sqrt{0.553166667} \\\\ =0.7438[/tex]

Answer:

Service is being an active helper in the community and taking action that can be of benefit.

Service comes from citizens who care and accept their responsibility.

Use those

C. or D is the answer I think its D

maybe.

Answer:

your question is quite different. I do not understand properly

As far as I can tell, your graph is correct.

If you look at the x-axis of the graph, you'll see that the graph crosses it when x is 0, 1, 2, 3, and 4. The asymptotes are halfway in between these points, so if you find the midpoints between each set of points, you'll get 0.5, 1.5, 2.5, and 3.5. These are your answers.

Step-by-step explanation:

Answer:

.375

Step-by-step explanation:

To find the batting average, do 15/40. And 15/40=.375

Answer:

100 fiddler crabs

Step-by-step explanation:

If the 30 crabs are a representation of the entire population, then 6 marked crabs in a population of 30 would mean that

6 / 30 = 0.20 or 20%

20% of the entire crab population are marked. Since we know that a total of 20 fiddler crabs are marked in the pond then we can divide this number of marked crabs by 20% in decimal form to get the estimated total size of the fiddler crab population

20 / 0.20 = 100 fiddler crabs

Answer:

Gordon types at 76 wpm

Step-by-step explanation:

You can find this by dividing the number of words typed by the number of minutes:

[tex]\frac{3572w}{47m}\\\\= \frac{3572}{47}\frac{w}{m}\\\\= 76\frac{w}{m}\\\\[/tex]

Answer:

78 Words per minute

Step-by-step explanation:

Unit Rate = 3666 Words in 47 minutes

Unit Rate = 78 Words per minute

Answer:

there is a 40% or a 16/40 chance the the student will receive blue chalk

Step-by-step explanation:

Answer:

the P-value for this hypothesis test is 0.00215

Step-by-step explanation:

Given that;

Null Hypothesis: mu1 = mu2

Alternative Hypothesis: mu1 <  mu2

Notice that the alternative hypothesis is a one-tailed test

Now, when when a one-tailed alternative hypothesis is used, To obtain a one-tailed alternative probability value i.e p-value, we divide the result by two (2).

so, given output ( z=3.25, p[tex]_{value}[/tex]=0.0043)

since its one-tailed test

P-value for this hypothesis test = 0.0043 / 2 = 0.00215

Therefore, the P-value for this hypothesis test is 0.00215

Answer:

A

Step-by-step explanation:

A. Here is why:

In a function, each x maps to exactly one value of y.

In B and C, x = -3 maps to both -1 and 2, is they are not functions.

Answer:

D. 2(x - 1)(x – 3)

Step-by-step explanation:

4(x2 – 2x) – 2(x2 – 3)

We would first of all expand the expression given

This becomes

= 4x2 - 8x - 2x2 + 6

Rearrange to enable us simplify

4x2 - 2x2 - 8x + 6

= 2x2 - 8x + 6

Factorize

2 (x2 - 4x + 3)

factorizing further using the factors of 3 that add up to -4

2(x2 - x - 3x + 3)

pick out the common factors

2(x(x-1) -3(x-1)

2(x-1)(x-3)

Option D. 2(x - 1)(x – 3) is right

Using the Factor Theorem, the factored form equivalent to this expression is:

[tex]2(x - 1)(x - 3)[/tex], given by option D.

The Factor Theorem states that a polynomial function with roots [tex]x_1, x_2, \codts, x_n[/tex] is given by:

[tex]f(x) = a(x - x_1)(x - x_2) \cdots (x - x_n)[/tex]

In this problem, the expression is:

[tex]4(x^2 - 2x) - 2(x^2 - 3) = 0[/tex]

[tex]4x^2 - 8x - 2x^2 + 6 = 0[/tex]

[tex]2x^2 - 8x + 6 = 0[/tex]

Which is a quadratic equation with coefficients [tex]a = 2, b = -8, c = 6[/tex].

Hence:

[tex]\Delta = b^2 - 4ac = (-8)^2 - 4(2)(6) = 16[/tex]

[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{8 + 4}{4} = 3[/tex]

[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{8 - 4}{4} = 1[/tex]

Hence, the expression is:

[tex]2(x - 1)(x - 3)[/tex], given by option D.

You can learn more about the Factor Theorem at https://brainly.com/question/24380382

Answer:

Yes. A linear pair forms a straight angle which contains 180º, so you have 2 angles whose measures add to 180, which means they are supplementary.