jackson bikes 2 miles in 15 minutes. At this rate, how many miles will he bike in 45 minutes?

there are 6 sections and the sections are 4 x 4

 so the correct expression can be 6x4x4

Answer:

6 x 4 x 4

Step-by-step explanation:

IN order to calculate the total area or the cardboard you just have to make a simple multiplication, the carboard is divided in equal sized squares, 6 equal sizd squares, and each one of them has a 4 inches side, so to calculate the area of the cardboard you just calculate the area of one square and then multiply it by the number of squares.

Area of one square= 4x4

Number of squares=6

Total area of the carboard= 6x4x4

Answer:

The answer is 10 ft.  

Step-by-step explanation:

make a triangle 6ft tall, 8ft long (90 degrees to the other line) and draw a line to complete the triangle.  This is a type of 3,4,5 triangle, a 6,8,10.  The other way to do it is sqrt(6^2+8^2) = sqrt(36+64) = sqrt (100) = 10.

A rectangle is a parallelogram because each pair of sides is parallel and the same length as each other

For a parallelogram, the following are true

Two of the interior angles are equal

Only two o fits sides are parallel

A parallelogram is a quadrilateral figure with opposite parallel sides.

For a rectangle, all the interior angles are 90 degrees, a

Hence we can conclude that a rectangle is a parallelogram because each pair of sides is parallel and the same length as each other

Learn more on properties of rectangle here: https://brainly.com/question/1214882

Answer:  The correct option is (A) A dilation factor of 2.

Step-by-step explanation:  We are shown two similar polygons in the figure.

We are to select the transformation that was performed on PQRS to form P'Q'R'S'.

We can see clearly from the figure that two polygons have same shape but different sizes.

So, the only transformation possible from PQRS to P'Q'R'S' is dilation.

To find the dilation factor, we need the lengths of any two corresponding sides of PQRS and P'Q'R'S'.

From the graph, we note that

PQ = 2 units  and P'Q' = 4 units.

Therefore, the dilation factor is given by

[tex]D_f\\\\\\=\dfrac{\textup{length of a side of the dilated figure P'Q'R'S'}}{\textup{length of the corresponding side of the original figure PQRS}}\\\\\\=\dfrac{P'Q'}{PQ}\\\\\\=\dfrac{4}{2}\\\\=2.[/tex]

Thus, the required transformation is a dilation with dilation factor of 2.

Option (A) is CORRECT.

Answer:

60%

Step-by-step explanation:

Since the entire percentage is 100 than  40 plus 60 is a hundred

Answer:

[tex]-9\sqrt{11}[/tex]; None of the above; [tex]3\sqrt{7}[/tex]

Step-by-step explanation:

For the first question:

[tex]5\sqrt{11}-12\sqrt{11}-2\sqrt{11}[/tex]

Treating the radicals as a variable, we combine like terms:

[tex]5\sqrt{11}-12\sqrt{11}-2\sqrt{11}\\\\=-7\sqrt{11}-2\sqrt{11}\\\\-9\sqrt{11}[/tex]

For the second question:

[tex]5(10-4\sqrt{2})[/tex]

We use the distributive property:

[tex]5(10-4\sqrt{2})\\\\5\times 10-5\times4\sqrt{2}\\\\50-20\sqrt{2}[/tex]

This is not one of the choices available.

For the third question:

[tex]\sqrt{3}\times \sqrt{21}[/tex]

We will first find the prime factorization of 21.  21 = 3*7:

[tex]\sqrt{3}\times \sqrt{3\times7}[/tex]

These can all be written under one radical:

[tex]\sqrt{3\times 3\times 7}[/tex]

For square roots, we want pairs of factors.  We have a pair of 3s, so this comes out, giving us

[tex]3\sqrt{7}[/tex]

Answer: Answer of First Question is -9√11, answer of second Question is 'None of the above' and answer of third question is 3√7

Step-by-step explanation:

since, in first question, given expression is,

5√11-12√11-2√11

And, we can write, 5√11-12√11-2√11=-9√11

In other words, negative 9 square root of 11

Thus, option third is correct.

In second question, given expression is,

5(10-4√2),

And we can write, 5(10-4√2)=50-20√2

In other words, 50 minus 20 square root of 2.

Thus, Option fourth is correct.

In third question, given expression,

√3×√21,

And we can write, √3×√21=√3×√3×√7=3√7

Thus, third option is correct.

Answe

-5x³ + 4x² - 5x

Step-by-step explanation:

got it right on the quiz

Answer:

The difference of fifty-four and seven times a number is written as 54 - 7x.

Step-by-step explanation:

Given: expression “the difference of fifty-four and seven times a number”

We have to write the given algebraic expression represents “the difference of fifty-four and seven times a number”

Consider the given algebraic expression represents “the difference of fifty-four and seven times a number”

Let the number be x

Then, seven times a number is 7x

And the difference of fifty-four and seven times a number is written as 54 - 7x.

Thus, The difference of fifty-four and seven times a number is written as 54 - 7x.

Answer:

a

Step-by-step explanation:

Answer:

(C)

Step-by-step explanation:

It is given that The steepest side of the model, AB, measures 4 inches, thus

From ΔABC, using the trigonometry, we have

[tex]\frac{AC}{AB}=sin45^{\circ}[/tex]

Substituting the given value, we have

⇒[tex]\frac{AC}{4}=sin45^{\circ}[/tex]

⇒[tex]AC=4{\times}\frac{1}{\sqrt{2}}[/tex]

⇒[tex]AC=2\sqrt{2}[/tex]

Now, from ΔACD, we have

[tex]\frac{AC}{AD}=sin30^{\circ}[/tex]

⇒[tex]\frac{2\sqrt{2}}{AD}=\frac{1}{2}[/tex]

⇒[tex]AD=4\sqrt{2}[/tex]

Therefore, the length of AD will be [tex]4\sqrt{2}[/tex]

thus, option C is correct.

When x=7 , the first equation y = 200 + 350x has the greater value.

To determine which equation has the greater value when x=7, we need to evaluate both equations at x=7 and compare the resulting y values.

For the first equation [tex]\( y = 200 + 350x \):[/tex]

[tex]\[ y = 200 + 350 \times 7 \]\[ y = 200 + 2450 \]\[ y = 2650 \][/tex]

For the second equation y=3x

[tex]\[ y = 3 \times 7 \]\[ y = 21 \][/tex]

Comparing the values, we see that y=2650 for the first equation and y=21 for the second equation.

Answer:-7, 7.

Step-by-step explanation:

-7+7= 0

Simple as that :) Plz mark brainliest

Answer:

398 ( did it on college bridge)

Step-by-step explanation:

The required value of the expression is 412 which is determined by substituting for x = 4 and y = 6.

Unknown variables, numbers, and arithmetic operators make up an algebraic expression. It contains no equality or inequality symbols.

The expression is given in the question as:

(4x−12)+(12xy−10)(4x-12)+(12xy-10)

To find the value of the expression for a given value of x and y, we can substitute the values of x and y into the expression and evaluate it.

(4x−12)+(12xy−10)(4x-12)+(12xy-10)

Substituting x=4 and y=6 into the expression, we get:

(4(4)−12)+(12(4)(6)−10)(4(4)−12)+(12(4)(6)−10)

This simplifies to:

(16−12)+(12(24)−10)(16−12)+(12(24)−10)

This further simplifies to:

4+(12(24)−10)(4)+(12(24)−10)

4+(12(24)−10)(4)+(12(24)−10)

4+288+120 = 412

Therefore, the value of the expression for x = 4 and y = 6 is 412.

Learn more about the algebraic expression here :

brainly.com/question/21751419

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Answer:

D) EAC is equilateral triangle

Step-by-step explanation:

Given :

AEC is a triangle in which B∈ AC and D∈EC

Such that,

∠ABE = 90°,

∠ADE = 90°,

Also, BC = CD

We have to prove that :

Δ ABE is congruent to Δ EDA

Proof :

If EAC is an equilateral triangle,

By the property of equilateral triangle,

EA = AC = EC

If AC = EC

⇒ AB + BC = ED + CD

⇒ AB + CD = ED + CD

⇒ AB = ED

Also, AE = AE ( common segment )

Now, if in two right triangles hypotenuse are equal and any corresponding legs are equal,

Then, the other legs must be equal,

That is, BE = DA,

Hence, by SSS postulate of congruence,

Δ ABE ≅ Δ EDA

Therefore, option D is correct.

[tex] nPk=\dfrac{n!}{(n-k)!}\\\\
\dfrac{ 10P6}{10P4}=\dfrac{\dfrac{10!}{4!}}{\dfrac{10!}{6!}}=\dfrac{10!}{4!}\cdot\dfrac{6!}{10!}=5\cdot6=30 [/tex]