Owen bought 15 bananas for $9. What was the cost of the bananas in bananas per dollar?

Answer:

the first option is correct

In a function, y varies directly with x and the constant variation is 2, then the function is y=2x. Therefore, option D is the correct answer.

Mathematical relationship between two variables which can be expressed by an equation in which one variable is equal to a constant times the other.

Given that, in a function, y varies directly with x and the constant variation is 2.

y∝x

y=kx, where k is constant variation.

Here, k=2

Then, y=2x

When x=1, 2, 3, 4 and 5.

We get, y 2, 4, 6, 8 and 10

Therefore, option D is the correct answer.

Learn more about the direct variation here:

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Answer:

[tex]x^{2} +2y^{2} +8xy[/tex]

Step-by-step explanation:

[tex]6x^{2} -4xy + 2y^{2} -5x^{2} +2xy+10xy[/tex]

Okay, so of course you need to add like terms. But where should you start? Well, [tex]6x^{2}[/tex] and [tex]-5x^{2}[/tex] are both like terms, so lets add them first.

[tex]6x^{2} -5x^{2} = x^{2}[/tex]

Also, [tex]-4xy[/tex], [tex]2xy[/tex], and [tex]10xy[/tex] are like terms, so we can add them together too.

[tex]-4xy + 2xy +10xy = 8xy[/tex]

There isn't anymore like terms, so now we need to put it in simplest form.

[tex]x^{2} +2y^{2} +8xy[/tex]

Hope this helps! I actually think 2y^2 is before x^2 in the answer, but unless you need it in simplest form it shouldn't matter. Review with your teacher before turning in if you can. :))

Answer:

Yes

Step-by-step explanation:

By the Triangle Inequality Theorem, if a supposed triangle has sides [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] where [tex]c[/tex] is the longest side, then [tex]a+b\geq c[/tex].

Here, [tex]7+12\geq18[/tex], so the given sides of the triangle can have these lengths

Answer:

It is A

Step-by-step explanation:

Because 18 to 14 is subtracting 4 and then it goes 14 to 10 which is another 4. Hope you ace the quiz or test or whatever your doing hope it helps.

Option A

It's an arithmetic sequence

Rule is

[tex]\\ \rm\hookrightarrow a_n=a+(n-1)d[/tex]

[tex]\\ \rm\hookrightarrow a_n=18+(n-1)4[/tex]

The factors of the model of trinomial, which is represented by the algebra tile configuration, is,

[tex]x-7, x-2[/tex]

Trinomial is the polynomial in which the highest power of the unknown variable is 3.

The factor of a polynomial is the terms in linear form, which are, when multiplied together, give the original polynomial equation as a result.

The model of a trinomial is shown. An algebra tile configuration. 0 tiles are in the Factor 1 spot and 0 tiles are in the Factor 2 spot.

24 tiles are in the Product spot: 1 is labeled x squared, 7 Thus, one of the factor of trinomial is,

[tex](x-7)[/tex]

The 2 tiles below x squared are labeled x, and the 14 tiles below the negative x tiles are labeled negative. Thus, the another factor of the trinomial is,

[tex](x+2)[/tex]

The factors of the model of trinomial, which is represented by the algebra tile configuration, is,

[tex]x-7, x-2[/tex]

Thus, the option C and E is the correct option.

Learn more about trinomial here;

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Answer:

3 and 5

Step-by-step explanation:

2022

Answer:

The mean travelling time is 25 minutes.

Step-by-step explanation:

add up all of the values and divide by how much values there are. 5+15+25+35+45 equals 125. 125/5 equals 25

what I wrote earlier was cut off sorry, this is what I mean:

You can download Gauthmath if you want to solve your math problems.

Available on Playstore/Appstore

Answer:

1. some rectangles are squares

2. all rhombuses are quadrilaterals

3. no squares are triangles

4. some rectangles are regular quadrilaterals (squares are rectangles)

5. some quadrilaterals have four congruent angles

6. no rectangles are rhombuses

7. all squares are regular quadrilaterals

8. some parallelograms have four congruent angles

answer:

[tex]\frac{x^2}{4}-\frac{13x}{2}-14[/tex]

steps:

[tex]\left(x\:+\:2\right)\left(\frac{x}{4}\:-\:7\right)[/tex]

[tex](x)(\frac{x}{4})-7x +\frac{2x}{4} -14[/tex]

[tex]\frac{x^2}{4} -7x+\frac{2x}{4} -14[/tex]

[tex]\frac{x^2 -28x + 2x -56}{4}[/tex]

[tex]\frac{x^2 -26x -56}{4}[/tex]

[tex]\frac{x^2}{4}-\frac{13x}{2}-14[/tex]

[tex](x + 2) ( \frac{x}{4} - 7)[/tex]

[tex](x) ( \frac{x}{4} ) − 7x + \frac{2x}{4} - 14[/tex]

[tex] \frac{ {x}^{2} }{4} - 7x + \frac{2x}{4} - 14[/tex]

[tex] \frac{ {x}^{2}-28x+2x-56 }{4} [/tex]

[tex]\frac{{x}^{2} - {26}^{2} - 56}{4} [/tex]

Answer:

c

Step-by-step explanation:

t r r rt t t 4 4. 54. 54. 54 4. rr. rt t. t

Answer: A

Step-by-step explanation: πr2 h =  1100 cm³

Here r = 5

(22/7) ⋅ (5)2 ⋅ h  =  1100

h  = 2/7

Curved surface area of cylinder  =  2 πr h

=  2 ⋅ (22/7) ⋅ 5 ⋅ (2/7)

=  440 cm²

So, the curved surface area of cylinder is  440 cm²

The slope of AB is different from the slope of BC

==================================================

Reason:

Points A,B,C are all on the same line. We consider them collinear points. This means that the slopes of AB, AC and BC are the same value.

If the slopes were different at all, then the points wouldn't be collinear. In this case, the slope is 2/3 because we move up 2 each time we move to the right 3 units.

[tex]x = (5/y)^2 + 3[/tex]

Answer:

  m = 4√6

Step-by-step explanation:

Using the "geometric mean" relations applicable to this triangle, the value of m is the geometric mean of the hypotenuse segments it touches:

  m = √((8)(8+4)) = √96

  m = 4√6

__

Additional comment

Similarly, n = √(4×8) = 4√2.

These relations come from the similarity of the triangles. For m, the proportion is ...

  long side/hypotenuse = 8/m = m/12

  96 = m²   ⇒   m = 4√6

Answer:

y=0

Step-by-step explanation:

a horizontal line is equal to y being 0.

Answer:

  2x -16

Step-by-step explanation:

The area of each rectangle is the product of its length and width. The shaded area is the difference between the areas of the outside rectangle and the inside rectangle.

  shaded area = (2x -1)(x +6) -(2x +5)(x +2)

  = (2x^2 +11x -6) -(2x^2 +9x +10)

  = (2 -2)x^2 +(11 -9)x +(-6 -10)

  = 2x -16 . . . . . area of the shaded region

Answer:

7 groups

Step-by-step explanation:

76-13 is 63

63 divided by 9 is 7

Answer:

7

Step-by-step explanation:

Subtract 13 dinosaurs from the 76 original dinosaurs

76-13 = 63

Now divide them into 9 groups

63/9 = 7

There are 7 dinosaurs in each group

Answer:

Should be just one solution :)

Step-by-step explanation:

Answer:

It just has one solution :)

Step-by-step explanation:

4(x+1)=1/2(x-8)

4x-4 = 1/2(x-8)

4x-4=1/2x-4

4x=1/2x

8x=x

(8x-x=0)

(7x=0)

Therefore x=0

Answer:

464 ft

Step-by-step explanation:

h = 125t - 161

h = 125(5) - 161

h = 625 - 161

h = 464

Answer:

19%=0.19+$4,350/16=$272+$1,600=$1872+0.19=1872.19/12=$156+$4,50=

$375.50

Answer: C. $309.

Step-by-step explanation:

Answer:

i took the test⬇️

use a ruler to draw a nicer shape

Answer:

m∠4 = 140°

Step-by-step explanation:

m∠1 = m∠4  (parallel lines with same angle)

m∠2 = m∠3  (parallel lines with same angle)

if m∠2 = m∠3 are equal:

3x + 10 = 5x - 10

3x - 5x = -10 - 10

-2x = -20

x = 10°

m∠2 = m∠3 = 3x + 10 = 3(10) + 10 = 40°

m∠1 + m∠4 + 40° + 40° = 360°

2 m∠4 = 360° - 80°

2 m∠4 = 280°

m∠4 = 140°

Answer:

m∠4 = 140°

Step-by-step explanation:

Vertical Angle Theorem: vertical angles are always congruent.

Therefore, m∠1 = m∠4  and  m∠2 = m∠3

As m∠2 = m∠3, then

⇒ 3x + 10 = 5x - 10

⇒ 20 = 2x

⇒ x = 10

So m∠2 = 3x + 10 = 3(10) + 10 = 40°

m∠2 and m∠4 form a linear pair

Therefore m∠2 + m∠4 = 180°

⇒ 40 + m∠4 = 180

⇒ m∠4 = 140°

Linear pair: a pair of adjacent angles formed when two lines intersect.  The two angles of a linear pair always sum to 180°

Answer:

Step-by-step explanation:

[tex]=3x-(-2-4x)\\\\=3x+2+4x\\\\=7x+2\\\\=7*5+2\\\\=35+2\\\\=37[/tex]

[tex]=3x-(2-4x)\\\\=3x-2+4x\\\\=7x-2\\\\=7*5-2\\\\=35-2\\\\=33[/tex]

[tex]=-3x-(-2-4x)\\\\=-3x+2+4x\\\\=x+2\\\\=7+2\\\\=9[/tex]

Answer:

7 fruit cups

Step-by-step explanation:

$3.75/3x + $1.50y = $15.50

So, if you have 4 protein bars, the equation would read:

1.25x + 1.5y = 15.5

1.25(4) + 1.5y = 15.5

5 + 1.5y = 15.5

1.5y = 10.5

y = 7

Answer:

Solution

Let The side of Triangle be ABC.

Let B be perpendicular.

Hypotenuse=30

Perpendicular=?

Base=24

Perpendicular= √h2-b2

=√30×30-24×24

=√900-576

=√324

=18

Answer:

60 degrees

Step-by-step explanation:

Each exterior angle of a regular polygon of n sides = 360° / n. 

Answer:

x>3  here is your answer

Answer:

A = 15cm^2

Step-by-step explanation:

A = bxh/2

A= 5x6/2

A=30/2

A=15cm^2

Step-by-step explanation:

Terms can be a single number or variable, or a coefficient.

The expression contains seven terms, incorrect. Doesn't include coefficients.

The terms in the expression are [tex]7[/tex], [tex]a[/tex], [tex]2[/tex], [tex]3a[/tex], [tex]b^2[/tex]. Correct. Includes coefficients.

Constants are like terms, correct. (7, 2)

2 and [tex]b^2[/tex] are like terms because they both contain the number 2, incorrect. [tex]b^2[/tex] can only combine with a coefficient with the exact same terms. ([tex]b^2[/tex])

a and 3a are like terms, correct. Both are like terms since both have the variable of a.

a, 3a, and [tex]b^2[/tex] contain variables, so they are like terms. Incorrect. As said before, [tex]b^2[/tex] can't combine with 3a and a. (4a)

The statements presented would be valid from both the Aristotelian and the Boolean standpoint.

Some principles to test is statements are valid or invalid are:

Based on this, the statements presented would be valid from both the Aristotelian standpoint and the Boolean standpoint because the premises (I and II) are logically connected, and they refer to existing elements.

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