The area of Elizabeth's garden is 60 square
7 feet. The garden has a width of 5 feet as
shown in the diagram.
?
5 feet
What is the length, in feet, of the garden?

Answer:

$7.50

Step-by-step explanation:

the question can be represented with:
12.5/5 and x/3

12.5/5 is 2.5, so that means each bag of dog food is $2.5  
So then you multiply 2.5 by 3, = 1.20, so 3 bags of dog food is $7.50.

Answer:

Step-by-step explanation:

Remark

I take it you mean 5 and not 0.5.

If that is the case, this is a proportion question. A proportion consists of 4 parts. If you know 3 of the parts, you can solve for the 4th one.

Formula

Number of bags/Cost = new number of bags/Cost of the new number

Givens

original Number of bags  = 5

Cost = 12.50

New number of bags = 3 bags

Cost = x

Solution

5/12.50 = 3/x           Cross Multiply

5x = 12.50 * 3          Combine the right

5x = 37.5                  Divide by 5

5x/5 = 37.5/5

x = 7.5

Answer: 3 bags cost 7.50 dollars.

Answer:

a). 100

Step-by-step explanation:

Finding d₁ and d₂

Finding Area

Answer:

As Per Provided Information

Radius of cylindrical shape silo 9 ft

Height of cylindrical shape silo 41 ft

We have been asked to determine the volume of cylindrical silo .

[tex] \boxed{\sf \: Volume_{(Cylindrical\:Silo)} = \pi {r}^{2}h}[/tex]

Substituting the given value in above formula and we obtain

[tex] \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times {9}^{2} \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 81 \times 41 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 3.14 \times 3321 \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10427.94 \: {ft}^{3} \\ \\ \\ \qquad\longrightarrow\sf \:Volume_{(Cylindrical\:Silo)} = 10428 \: {ft}^{3}[/tex]

Answer:

Volume is 10428 cubic ft.

Step-by-step explanation:

Given :-

To find:-

Solution:-

Putting the known values ,

Volume:- 3.14 × 9² × 41 cubic ft.

Volume :- 10427.94 cubic ft.

rounding off to nearest whole number ,

Volume :- 10428 cubic ft.

ANSWER = 0.48

HOPE IT HELPS :)

Answer: 0.48

Step-by-step explanation:

6 x 8 = 48

we add those decimals back in which would be 0.48

Answer:

y = 3x + 2

Step-by-step explanation:

The easiest way to do this, would be to substitute a point (e.g., (2,8)) into your equations to find the one that is true.

(2, 8)

y = 3x - 2

8 = 3(2) - 2

8 = 6 - 2

8 = 4

This statement is false

(2, 8)

y = 3x + 2

8 = 3(2) + 2

8 = 6 + 2

8 = 8

This statement is true

(2, 8)

y = 2x - 3

8 = 2(2) - 3

8 = 4 - 3

8 = 1

This statement is false

(2, 8)

y = 2x + 3

8 = 2(2) + 3

8 = 4 + 3

8 = 7

Therefore, b is the correct answer.

Hope this helps!

The relation that represents the pattern in the table of values is given as; y = 3x + 2

Let us first find the slope of the values from;

m = (y₂ - y₁)/(x₂ - x₁)

m = (8 - 5)/(2 - 1)

m = 3

Thus, the y-intercept is;

5 = 3(1) + c

c = 2

Thus, equation is;

y = 3x + 2

Read more about Linear Equation at; https://brainly.com/question/16834757

#SPJ5

Answer:

the answer is x=15.....

Answer:

Step-by-step explanation:

(5x+30)=7x Subtract 7x from both sides. 5x+30−7x=0 Combine 5x and −7x to get −2x. −2x+30=0 Subtract 30 from both sides. Anything subtracted from zero gives its negation. −2x=−30 Divide both sides by −2. x= −2 −30 ​ Divide −30 by −2 to get 15.                 answer should be x=15

Using the normal distribution, it is found that the value of x is of 3.585.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 2.5, \sigma = 0.5[/tex].

The value of x is the 100 - 1.5 = 98.5th percentile, which is X when Z = 2.17, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.17 = \frac{X - 2.5}{0.5}[/tex]

[tex]X - 2.5 = 0.5(2.17)[/tex]

[tex]X = 3.585[/tex]

Hence the value of x is of 3.585.

More can be learned about the normal distribution at https://brainly.com/question/24663213

Answer:

31.5

Step-by-step explanation:

bxh/2

so 9x7=63 and divided by 2 is 31.5

Answer:

31.5

Step-by-step explanation:

use the formula base times high divided by 2

9x7=63

63/2=31.5

Answer:

This is what it should look like. The slope is 0 and there are two points. (0,3) (1,3)

Answer:

124°

Step-by-step explanation:

Not the best at explaining but should be equal to 180 straight across. You have to find the missing angle. You know the right angle is 90° so you will add 34° to get 124°. 180-124 will get you 56°. Straught across you have the angle that you are trying to find which is 124° because 180-56 is 124.

Tthe value of Paul's investment after 3 years would be equal to 52,285 penny.

Mathematically, compound interest is calculated by using this formula:

[tex]A=P(1+r )^{t}[/tex]

Where:

Given the following data:

Principal = £500.

Time = 3 years

Interest rate = 1.5% = 0.015.

Substituting the given parameters into the formula, we have;

A = 500(1 + 0.015)³

A = 500(1.015)³

A = 500 × 1.0457

A = £522.85.

Conversion:

100 penny = 1 pounds.

X penny = 522.85 pounds.

Cross-multiplying, we have:

X = 522.85 × 100

X = 52,285 penny.

Read more on interest here: brainly.com/question/24341207

Answer:

Step-by-step explanation:Well first figure out the a b and c for ax^2+bx+c the apply by substituting using the quadratic formula.Then you should get youre answer.

Answer:

Your answer is -2,-3

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the value of x, isolate it on one side of the equation.

First, add by -6 from both sides.

→ -6+x+-6=-4+6

Solve.

→ -4+6=2

x=2

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

for 1 is -3

Step-by-step explanation:

Answer:

Step-by-step explanation:

-lukelaws

did i help?

The value of the expression such that a and b are integers is 1/9

An exponential function is a mathematical function in the form y = ab^x

Given the indices expression

[tex]\frac{(9\frac{1}{2} )^b}{3^a}[/tex]

This can be simplified as:

[tex]=\frac{(3^{2*\frac{1}{2}} )^b}{3^a}\\=\frac{3^b}{3^a}[/tex]

According to the law of indices, the expression will becomes;

[tex]\frac{3^b}{3^a} =3^{b-a}[/tex]

Recall that a - b = 2, such that b - a = -2. Substitute into the result to have:

[tex]\frac{3^b}{3^a} =3^{b-a}\\3^{b-a}=3^{-2}\\3^{b-a}=1/9[/tex]

Hence the value of the expression such that a and b are integers is 1/9

Learn more on indices here: https://brainly.com/question/10339517

Answer:

100,00

Step-by-step explanation:

In order to find this, you would divide 450,000,000 by 4500. You would then get the final answer of 100,000. Hope this helps!

Answer:

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

Step-by-step explanation:

Knowing that

10% = 0.1 in decimal form

10% = 1/10 or 10/100 in fraction form

of = multiply

Thus, the following is correct:

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

We can also solve to find the answer:

10% of 33 = 3.3

0.1 x 0.33 = 0.033

10 x 33 = 330

1/10 x 33 = 3.3

0.1 x 33 = 3.3

10/100 x 33 = 3.3

Hence answer =

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

[RevyBreeze]

Answer:

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

Step-by-step explanation:

Before finding the solutions let's first note the following:

Notes :

Of = Multiply

10% ⇒ 0.1 ⇒ 1/10 ⇒ 10/100

Thus, substitute;

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

Therefore,

C. 1/10 • 33

D. 0.1 • 33

E. 10/100 • 33

are the correct answer.

As well as if you multiply/divide all you will all get 3.3

~lenvy~

Answer:

x = 0, 6

Step-by-step explanation:

8x(x-6) = 0

x = 0, 6

Answer:

640 Bacteria

Step-by-step explanation:

First, find out how many times the population will double. Divide the number of minutes by how long it takes for the population to double.

812÷203=4

The population will double 4 times.

Now figure out what the population will be after it doubles 4 times. Multiply the population by 2 a total of 4 times.

402222=640

That calculation could also be written with exponents:

4024=640

After 812 minutes, the population will be 640 bacteria.

Answer:

Divide both sides by 5.

Step-by-step explanation:

Divide both sides by same non-zero constant.

Answer:

centroid (2, 2.666666666...)

circumcenter (2, 1.75)

orthocenter (2, 2.5)

Step-by-step explanation:

the coordinates of the centroid of a triangle are

((x1 + x2 + x3)/3, (y1 + y2 + y3)/3)

so, we have

(-4 + 2 + 8)/3 = 6/3 = 2 = x

(0 + 8 + 0)/3 = 8/3 = y = 2.666666666...

the circumcenter is the crossing point of the lines going perpendicular through the midpoint of each side.

the orthocenter is the crossing point of the lines going perpendicular on each side through the opposing vertices (the heights of the triangle).

so, we need to calculate additionally the slopes of 2 sides and their midpoints before we can get these 2 centers. the third side would only confirm the result but not provide additional information.

A = (-4, 0), B = (2, 8), C = (8, 0)

midpoint D of AC = ((-4 + 8)/2, (0+0)/2) = (2, 0)

the slope of AC is

(y2 - y1)/(x2 - x1) = (0 - 0)/(8 - -4) = 0/12 = 0 (a flat line)

the slope of the perpendicular line is -1/slope of original line. which is -1/0 = -infinity.

but don't worry, that means it is a constant line x = ...

and since it has to go through the midpoint D, the perpendicular line is x = 2

midpoint E of BC = ((2+8)/2, (8+0)/2) = (5, 4)

the slope of BC is

(0-8)/(8-2) = -8/6 = -4/3

so, the slope of the perpendicular line is 3/4.

that line is then y = 3/4 x + b

it has to go through the midpoint E

4 = 3/4 × 5 + b = 15/4 + b

16 = 15 + 4b

4b = 1

b = 1/4

so, the full perpendicular line is

y = 3/4 x + 1/4

crossing both perpendicular lines is simply using the first in the second equation :

y = 3/4 × 2 + 1/4 = 6/4 + 1/4 = 7/4 = 1.75

for the orthocenter we can use the same slopes, but the lines go now through the opposing vertices instead through the side midpoints.

so, line 1 is going through B, which makes it also x = 2.

line 2 is going through A, so

0 = 3/4 × -4 + b

0 = -1 + b

b = 1

line 2 is then

y = 3/4 x + 1

crossing these 2 lines gives us

y = 3/4 × 2 + 1 = 6/4 + 4/4 = 10/4 = 5/2 = 2.5

Answer:

The answer is A

Step-by-step explanation:

A pentagon is a polygon that has 5 sides and 5 vertices.

Answer:

(x + 1) (x + 2)

Step-by-step explanation:

x² + 3x + 2

We can Split the Middle Term of this expression to factorise it

In this technique, if we have to factorise an expression like ax² + bx + c,

we need to think of 2 numbers such that:

N₁ · N₂ = a · c = 1 · 2 = 2

And,

N₁ + N₂ = b = 3

After trying out a few numbers we get N₁ = 2 and N₂ = 1

2 · 1 = 2 and 2 + 1 = 3

x² + 3x + 2 = x² + 2x + x + 2

x (x + 2) + 1 (x + 2)

(x + 1) (x + 2) , is the factorized form.

Answer:

(x+2)(x+1)

Step-by-step explanation:

[tex]x^{2} +3x+2[/tex]

→Multiply the first and last term's coefficient =1×2=2

Now,

→Factors of 2=2,1

→Using 2 and 1 we must add up to 3

Now we get,

[tex]\hookrightarrow x^{2} +3x+2\\\\\hookrightarrow x^{2} +2x+x+2[/tex]

Here when we add 2x and x we get 3x.

Now,

Take common x from x²+2x as well as 1 from x+2

Then we get,

[tex]\hookrightarrow x^{2} +2x+x+2\\\\\hookrightarrow x(x+2)+1(x+2)\\\\[/tex]

Here, x+2 is common. So we can write both of them as one.

[tex]\hookrightarrow (x+2)(x+1)[/tex]

And it is our final answer.

Hence, the final factors are (x+2)(x+1)

Answer:

  t = 200/v

Step-by-step explanation:

The relationship between speed, distance, and time is ...

  d = vt

Solving for t gives ...

  t = d/v

For a distance of d=200 km, the time in hours will be ...

  t = 200/v . . . . . . where v has units of km/hour

Answer:

Infinitely many solutions

Step-by-step explanation:

(1) ---- 6x - 4y = 9

(2)---- 12x - 8y = 18

If you multiply (1) by 2 → 12x - 8y = 18 --- (3)

and then when you compare (2) and (3), you'll find that you still can't find the value of X and Y therefore, there's infinitely many solutions

Answer:

Infinitely Many Solutions!!

Step-by-step explanation:

You need to do elimination method!!

This is because we need to top the equation to cancel out and become negative.  

6x−4y=9

12x−8y=18

You could do 6x and everything multiplied by -2. But 4y can do the same too!!

I rather do 4y x -2!

-12x+8y=-18

12x−8y=18

Everything cancels out!!

0=0

But 0 equals to 0 goes on forever so the answer is infinite solutions!!

**The reasoning behind the two other choices**

No solution would be like -3=0 which is not our case!!

One solution has something that goes into everything evenly!