The total cost of 8 identical pens and 2 identical files is $32 The total cost of 3 such files is the same as the total cost of 4 such pens. Find the cost of each file

Answer:

The answer is in the picture.

Answer:

The total number of bulbs are "320 bulbs".

Step-by-step explanation:

According to the question,

The square garden's side length,

x = 8 feet

Number of tulip bulbs she plant,

= 5

Now,

As per the question, the area of square will be:

⇒ [tex]A=x^2[/tex]

       [tex]=(8)^2[/tex]

       [tex]=64[/tex]

hence,

The total number of bulbs will be:

⇒ [tex]n=A\times 5[/tex]

       [tex]=64\times 5[/tex]

       [tex]=320 \ bulbs[/tex]

Thus the above is the correct solution.

Answer:

A - 3.4

Step-by-step explanation:

Answer:

34-10 for admission= 24. if each ride cost 1.50, you can take 1.50x16 and get 24.00. He can go on 16 rides.

Answer:

16

Step-by-step explanation:

If u use a protracter it will work

Answer:

B, 600

I've attached a graph to help ya!

Hope this helps!

Answer:

slope is -2

Step-by-step explanation:

Answer:

Step-by-step explanation:

the area of the rectangle is a difference of two squares

so it can be expressed

(x^2-3y)(x^2+3y)

Answer:

(x^2-3y)(x^2+3y) if you multiply them all together you get the final answer of x^4-9y^2

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

The answer is B It is located on the Quadrant ll

Step-by-step explanation:

have a good day :)

Answer:

6.25

Step-by-step explanation:

You would multiply 2.5 by itself since you're dilating your side length.

Answer:

534561.63

Explanation:

used calculator lolololololol

Answer:

226.19 [tex]cm^{3}[/tex]

Step-by-step explanation:

Vol. of cone = Bh/3   where B is the area of the base(circle) and h is the height of the cone.

r = 3   h = 3

V = [tex]\frac{\pi *3^{2}*3 }{3}[/tex] = 9π

Vol. of the cylinder = Bh   where B is the base(circle) and h is the height of the cylinder.

r = 3   h = 10 - 3 = 7

V = [tex]\pi *3^{2} * 7[/tex] = 63π

Total volume = 9π + 63π = 72π = 72(3.1416....) = 226.19

Volume is a three-dimensional scalar quantity. The volume of the composite figure will be 226.194cm³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

The volume of the composite solid is the sum of the slanted cylinder and the cone. Therefore, the volume will be,

Volume = Volume of cone + Volume of slant cylinder

             = [(1/3)πr²h] + [πr²H]

             = [(1/3)×π×(3)²×3] + [π×(3)²×7]

             = 28.274 cm³ + 197.920 cm³

             = 226.194 cm³

Hence, the volume of the composite figure will be 226.194cm³.

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Answer:

3, 5, 6

Step-by-step explanation:

Angles that will be congruent to the given angle, 94° would be any angle that is corresponding to 94°, any angle that is vertical to 94°, any angle that is the alternate interior angle to 94°.

Thus.

Angle 3 = 94° (vertical angles)

Angle 5 = 94° (corresponding angles)

Angle 6 = 94° (alternate interior angles)

Answer:

Hello! answer: volume = 216

Step-by-step explanation:

Volume for rectangular prisms are found by doing length × width × height so... 6 × 4 × 9 = 216 therefore the volume is 216 hope that helps!

Answer:

x^2-12x+37

Step-by-step explanation:

Let's start by putting this into vertex form which will be (x-6)^2+1

Now lets solve our equation to get parabola standard form

x^2-12x+37

Given:

The quadratic equation is:

[tex]x^2+x-30=0[/tex]

To find:

The solutions of the given equation.

Solution:

We have,

[tex]x^2+x-30=0[/tex]

Splitting the middle term, we get

[tex]x^2+6x-5x-30=0[/tex]

[tex]x(x+6)-5(x+6)=0[/tex]

[tex](x+6)(x-5)=0[/tex]

Using zero product property, we get

[tex]x+6=0[/tex] and [tex]x-5=0[/tex]

[tex]x=-6[/tex] and [tex]x=5[/tex]

Therefore, the solutions of the given quadratic equation are -6 and 5.

Answer: 12m

Step-by-step explanation:

Assuming the garden is a rectangular one, the area can be calculated by the formula:

Area = Length * Width

Given the length, one can find the width by making it the subject of the formula:

300 = 25 * Width

Width = 300 / 25

= 12 m

Answer: first one: false second one: true

Step-by-step explanation:

=>(hypotenuse)^2=(base)^2+(perpendicular)^2

=>(h)^2=(15)^2+(8)^2

=>(h)^2=289

=>h=√289

=>h=17 yd

Hope it helps you

225+64=289 is your answer

Answer: 12 boys attend Millwood School.

Step-by-step explanation:

Yeah. It just makes sense. I am bad at explaining. Sorry!

The ratio shows how many times one value is contained in another value.

The ratio of boys to girls at the Milwood School is 4 to 5.

The number of girls that attended the Milwood school is 15.

The number of boys that attended the Milwood school is 12.

The ratio shows how many times one value is contained in another value.

Example:

There are 3 apples and 2 oranges in a basket.

The ratio of apples to oranges is 3:2 or 3/2.

We have,

The ratio of boys to girls at the Milwood School is 4 to 5.

Total number of children = 27

Let the number of boys = 4x

Let the number of girls = 5x

Now,

4x + 5x = 27

9x = 27

x = 3

Now,

The number of boys = 4x = 4 x 3 = 12

The number of girls = 5x = 5 x 3 = 15

Thus,

The number of boys that attended the Milwood school is 12.

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Answer:

[tex]241\frac{5}{16}[/tex]

Step-by-step explanation:

Answer:

7+√5/4

Step-by-step explanation:

if that is = a, find the value of a + 1 over a

​Given that a = 3 - √5

a+1/1 = (3-√5)+1/3 - √5

4-√5/3 - √5

Rationalize

4-√5/3 - √5 * 3+√5/3 + √5

= 12 +4√5-3√5-√25/9-5

= 12+√5-5/4

= 7+√5/4

Hence the requred answer is  7+√5/4

The correct option to look for a line that divides the original image into two congruent parts is called; A. Line of Symmetry

The line of symmetry is defined as the axis or imaginary line that passes through the center of the shape or object and divides it into identical halves.

Now, from the question we see that the line divides the original image into two congruent parts which is the definition of line of symmetry.

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Answer:

Isosceles

Step-by-step explanation:

The one lined mark on the two angles mean that they are the same since they have the same mark.

Answer:

$2.52

Step-by-step explanation:

Answer:

13 / 25 were boys

14 / 25 were girls

Step-by-step explanation:

Of the girls 10 said no and 4 said yes

10 + 4 = 14 so she asked a total of 14 girls

Of the boys 8 said yes and 5 said no

8 + 5 = 13 so she asked a total of 13 boys

she asked 14 girls and 13 boys

14 + 13 = 25 so she asked a total of 25 people

Out of the 25 people she asked 13 of them were boys

So 13 out of 25 people we boys

or 13 / 25

which means 14 out of 25 were girls

or 14 / 25

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete; So, I will solve generally

Required

Quotient of two terms where 1 has a coefficient of 8

The quotient (Q) of a and b can be represented as:

[tex]Q = \frac{a}{b}[/tex]

Where a and b are the terms

For a or b to have a coefficient of 8, then a or b must be

[tex]a\ or\ b = 8x[/tex]

Where x is the variable

So, the quotient can be expressed as any of:

[tex]Q = \frac{8x}{y}[/tex]

[tex]Q = \frac{z}{8i}[/tex]

[tex]Q = \frac{24b}{8c}[/tex]

As long as one of the terms has a coefficient of 8