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Number 10

There is relationship between miles and feet. 1 mile has 5280 feet.

Option A: Ellen's house is 898 feet farther away than Dirk’s. is correct.

Miles and feet both measures distance. The relationship between the two is given by the expression:

1 mile = 5280 feet.

You can use the above given relation to find how many miles are there houses apart.

[tex]1 \: \rm mile = 5280 \: \rm feet.\\\\ 1 \: feet = \dfrac{1}{5280} \: miles\\\\ 6547\: feet = \dfrac{6547}{5280} \: miles \approx 1.24 \: miles[/tex]

Difference between both the distance is 1.41 - 1.24 = 0.17 miles

Converting this to feet:

[tex]1\rm \: mile = 5280 \: feet\\ 0.17 \: mile = 5280 \times 0.17 \approx 898 \: feet[/tex]

Thus, Option A: Ellen's house is 898 feet farther away than Dirk’s. is correct.

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The given triangle is a right triangle. You can use trigonometric ratios to find the remaining sides of the triangle.

The remaining two sides of the given triangle are of given below measures:

|AC| = 5 units

|BC| = [tex]5\sqrt3[/tex] units.

Lengths of remaining sides

[tex]sin(30^\circ) = \dfrac{|AC|}{|AB|}\\\\\dfrac{1}{2} = \dfrac{|AC|}{10}\\\\|AC| = \dfrac{10}{2} = 5 \: \rm units[/tex]

Similarly, we get:

[tex]cos(30^\circ) = \dfrac{|BC|}{|AB|}\\\\\dfrac{\sqrt3}{2} = \dfrac{|BC|}{10}\\\\|BC| = \dfrac{10 \sqrt3}{2} = 5\sqrt3 \: \rm units[/tex]

Thus, the remaining two sides of the given triangle are of given below measures:

|AC| = 5 units

|BC| = [tex]5\sqrt3[/tex] units.

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Answer:

(a-b) 2 = a square +b Square -2ab

Answer:

2a - 2b

Step-by-step explanation:

I just know the answer so yeah

Answer:

Different types of plant cells and tissues.

Step-by-step explanation:

Plant cells come from different cells to form the major classes of cells and tissues of roots, stems, leaves, flowers, and reproductive structures, each of which may be composed of several cell types.

Answer:

(9,0)

Step-by-step explanation:

Since we know that M is halfway of point A from the origin, to find point M, take half of point A's x-intercept.

(18,0) halfway from the origin would be (9,0).

[tex] \sf \: ( \frac{3 {c}^{2} {d}^{4} }{ {2c}^{3} {d}^{3} } ) ^{3} [/tex]

Simplify the expression by cancelling the like terms

[tex] \sf \: ( \frac{3d}{2c} )^{3} [/tex]

To raise a fraction to a power, raise the numerator and denominator to that power

[tex] \boxed{ \tt \: \frac{27 {d}^{3} }{ {8c}^{3} } }[/tex]

➪ Therefore, Option B is the correct choice!!~

Answer:

0

Step-by-step explanation:

First, you have to plug it into the formula to find the slope.

[tex]\frac{rise}{run}[/tex] =[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{8-8}{-5-10} =\frac{0}{-15}[/tex]

Since 0 divided by anything is 0, that gives us 0 as a slope and it would be horizontal.

Answer:

Step-by-step explanation:

So he has $100 and you want to see how many golf balls he can purchase well we know he spends $75 on the clubs so

 75

-100

--------

  25

John now has 25 dollars left. One ball is $1.50 so we keep adding or multiplying till we finish 25 dollars

1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 + 1.50 = 24

or

  1.50

x    16

----------

    24

he can purchase 16 golf balls

and the reason why it's 16 is that 16 golf balls are equal to 24 dollars and he can't purchase 17 golf balls or else that would be $25.50 which is more money than he has.

Hope that helped!

[tex] \qquad \quad \large {\pmb{ \frak { \mid {\overline{ \underline{\purple{ \bigstar \: Required \: Answer \: \bigstar}}}}}} \mid}\\[/tex]

[tex]\qquad[/tex] To find the value of (x - 3y) ², the binomial formula squared is: (a - b)² = a² - 2ab + b²

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\pmb{(x-3y)^2= x^2 - \underbrace{2(x)(3y)}_{6xy} +9 y^2}}[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\sf { - 6xy+ x^2+ 9y^2}}[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\sf { - 6(4)+ 26}}[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\sf{ -24 + 26}}[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\pmb 2}[/tex]

____________________________________

Answer:

D

Step-by-step explanation:

Answer:

4w=80

Step-by-step explanation:

4 loaves of bread weigh w ounces

so 4 times w will equal the total weight of 80

Answer: y= 2/3x +3

Step-by-step explanation:

y= Mx+b

M: slope

b: on y axis

Answer:

is bellow

Step-by-step explanation:

slope: 2/3

y-intercept: 3

Equation: y=2/3x+3

Hope this helps

Answer:

The answer is -7.

Step-by-step explanation:

We can find the answer by dividing 2 on both sides of the equation (to isolate the variable, x).

Answer:

The answer is 6.

Step-by-step explanation:

Note that the formula of variance for calculation purpose is

1

n

n

∑

i

=

1

x

2

i

−

(

1

n

n

∑

i

=

1

x

i

)

2

where

n

is the total number of values in the given data set.

In your given data we have

n

=

5

and the values of

x

i

's are

{

1

,

2

,

3

,

4

,

5

}

.

So, your variance

=

1

5

[

1

2

+

2

2

+

3

2

+

4

2

+

5

2

]

−

(

1

5

⋅

[

1

+

2

+

3

+

4

+

5

]

)

2

=

11

−

9

=

6

Answer:

Step-by-step explanation:

Solution given:

Surface area of a cylinder

S=2πrh

Now solving for h

Dividing both side by 2πr

[tex]\frac{S}{2πr}=\frac{2πrh}{2πr}[/tex]

We get

h=[tex]\frac{S}{2πr}[/tex]

The solution is Option C.

The value of the equation 4 over the quantity 7 times the binomial x plus 6 equals x over the quantity x plus 6 is given by A = 4 over 7

The value of A = 4/7

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is given by the equation

4 over the quantity 7 times the binomial x

The value is 4 / 7 ( x + 6 )

And ,

x over the quantity x plus 6

The value is x / ( x + 6 )

So , substituting the values in the equation , we get

4 / 7 ( x + 6 ) = x / ( x + 6 )   be equation (1)

On simplifying the equation , we get

The denominators of both the sides of the equation is same or common

And ,

Multiplying by ( x + 6 ) on both sides of the equation , we get

4/7 = x

Therefore , the value of x is 4/7

Hence , The value of the equation 4 over the quantity 7 times the binomial x plus 6 equals x over the quantity x plus 6 is given by A = 4 over 7

The value of A = 4/7

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Answer:

The mistake is the -3 exponent was not applied correctly to the coefficients (the 2 and the 4 in the original question) see image.

Step-by-step explanation:

The exponent rules being used here are applying an exponent to ALL the factors in the numerator (top part) and the denominator (bottom part). It is easier to simplify first. Then the -3 exponent goes on all the factors (the x, the y, and the 2) "Fix" negative exponents by pushing those terms across the fraction bar. Finally, 2^3 is 8. Nothing else can be simplified. See image.

[tex]\left( \cfrac{2x^2}{4y^3} \right)^{-3}\implies \left( \cfrac{4y^3}{2x^2} \right)^{3}\implies \left( \cfrac{2y^3}{x^2} \right)^{3}\implies \cfrac{2^{1\cdot 3}y^{3\cdot 3}}{x^{2\cdot 3}}\implies \cfrac{2^3y^9}{x^6}\implies \cfrac{8y^9}{x^6}~\textit{\large\checkmark} \\\\[-0.35em] ~\dotfill\\\\ \left( \cfrac{2x^2}{4y^3} \right)^{-3}\implies \underset{\bigotimes}{\left( \cfrac{2y^3}{4x^2} \right)^{3}}\implies \left( \cfrac{y^3}{2x^2} \right)^{3}\implies \underset{\bigotimes}{\cfrac{y^9}{2x^6}}[/tex]

not carrying the constant with the term.

no distributing the exponent to the constant.

Answer:

209 is the 35th term

Step-by-step explanation:

5, 11, 17, 23, 29, 35, 41, 47, 53, 59, 65, 71, 77, 83, 89, 95, 101, 107, 113, 119, 125, 131, 137, 143, 149, 155, 161, 167, 173, 179, 185, 191, 197, 203, 209.

Answer:

Volume and Capacity

Step-by-step explanation:

A centilitre is a unit of volume, for the Metric system, mostly used in the USA.

Answer:

C and D

Step-by-step explanation:

A centiliter or cL measures Volume, or how much a thing can hold. That means capacity also works in this case. This is pretty self explanitory. Please consider a brainliest for the quick answer! Thx Thanks!

Answer:

BE is congruent to FD because the hypotenuse of both triangles is the same.

Answer:

no it is not

a whole number is a number with that is a multiple of 1

ex 1,6,4

but not 2/3,-5.5,-225

if we simplfy -7/2 we get -3.5

Hope This Helps!!!

Step-by-step explanation:

4 ton in kg =4×1000=4000kg

5 kg in ton = 5×1000=5000kg

6=kg =6×1000=6000kg

7mm in cm = 7×10=7 cm

Answer:

a = 50

c = 20

Step-by-step explanation:

Let a = adult tickets

Let c = child tickets
Equations:

9a + 5c = 550 ————> (1)

a + c = 70 ————> (2)

Solve for a using second equation

a = 70 - c

Plug in for a using first equation

9(70 - c) + 5c = 550

Solve for c

c = 20

Plug in for c using second equation

a + 20 = 70

a = 50

I hope this helped and please mark me as brainliest!

Answer:

it's your first answer of

y= (-7/8)x + 1/2

Answer:

Domain- [-5,4]

Range- [3, -3]

Step-by-step explanation:

Domain is the stopping point of the x values.

Range is the stopping point of the y values.

Answer:

3.6

Step-by-step explanation:

[tex]\frac{2}{3}[/tex](6a+9)=20.4

4a+6=20.4

4a=14.4

a=3.6