Suppose Tommy walks from his home at (0, 0) to the mall at (0, 7), and then walks to a movie theater at (5, 7). After leaving the theater Tommy walks to the store at (5, 0) before returning home. If each grid square represents one block, how many blocks does he walk?

Answer:

7/10 > 17/25

Step-by-step explanation:

17/25  and 7/10

The common denominator is 50

17/25 *2/2 =34/50

7/10 *5/5 = 35/50

35 > 34 so

35/50 > 34/50

7/10 > 17/25

Answer:

4 – 5x = 59, x = -11

Step-by-step explanation:

The given equations is :

4 – 5x = 59

Subtracting 4 both sides,

4 – 5x -4 = 59-4

-5x = 55

Dividing both sides by -5.

x = -11

So, the answer of the given equation is -11.

Answer:

38.5 years old

Step-by-step explanation:

Let us represent Mrs.Kelly's age with the parameter (k). It is given that her brother is (15) years younger than her, thus his age is (k - 15). It is given that the sum of their ages is (62). Therefore one can form an equation with the given information and solve for the unknown.

(Mrs.Kelly's age) + (Brother) = (62)

Substitute,

(k) + (k - 15) = 62

Simplify,

k + k - 15 = 62

2k - 15 = 62

Inverse operations,

2k - 15 = 62

2k = 77

k = 38.5

Step-by-step explanation:

[tex] {a}^{2} = {4}^{2} + {2}^{2} \\ {a}^{2} = 16 + 4 \\ {a}^{2} = 20 \\ a= \sqrt{20} \\ {x}^{2} = {( \sqrt{20} )}^{2} + {3}^{2} \\ {x}^{2} = 20 + 9 \\ {x}^{2} = 29 \\ x = 5.385[/tex]

as a whole number = 5

Answer:

D. 501,120mm^3

Step-by-step explanation:

Volume of a rectangle:

length x width x height

So, plug in what you know:

80*104.4*60=

501,120mm^3

Answer:

It's definitely not the first one or the second one, not sure about the third one but the last one is equivalent to it.

3/4 x . 8 = 6

2-1=1

Answer:

The answer is the last one....

Step-by-step explanation:

Sorry for possible a vague answer, but you can divide out all the answers and you will see that only the last one proves the point...

if you do these problems in a class you are taught for sum/diff of cubes

the pattern ( a b) (a^ ab b^2) ...notice that there are no signs between the variables... the next teaching point is that the signs use this pattern...

"SAME" , "OPPOSIT", "ALWAYS A PLUS"... that is not me look that up in an algebra book.. same opposite, always a plus... I think some people call is "SOAP" same, opposite  Always plus (that works) ....

bottom line here is that you answer needs cubes under the division, and the

end part has to have a "+" , given that after multiplying by "-b" you have to end up with a "-B^3" only a "+b^2" will do , that is consistent with the fourth answer

Answer:y< 3x + 12

y> 5x + 7

Step-by-step explanation:

Answer:

2. Find the five boundary values

Step-by-step explanation:

When drawing a dot, the steps are;

i) The data set (the list of numbers to be presented in the dot plot) are arranged in increasing order from left to right, with thee lowest value on the left and the highest value located at the right of the list

ii) The five boundary values are listed as follows;

The Minimum and Maximum Values

1) The minimum value is the lowest number in the list, which is the first number from the left

2) The maximum value is the final number on the right of the list

3) The Median, Q₂

The median number is the number which divides the data arranged in increasing number, into two equal parts

The First Quartile and Third Quartile

The numbers are divided from the median, such that the Lower half is to the left of the Median, and the Upper half is to the right of median

4) The First Quartile, Q₁ = The median of the Lower half

5) The Third Quartile, Q₂ = The median of the Upper half

iii) The box plot is then drawn with the five boundary values found above

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

Explanation:

If you have exactly one right angle, then it is possible to have no parallel lines.   See the diagram below. Refer to the upper figure.

If you had exactly 2 right angles, then that would form a trapezoid. A trapezoid has exactly one pair of parallel lines.

If you had 4 right angles, then it would form a rectangle. Any rectangle is a parallelogram, so we have 2 pairs of parallel lines by this point.

It's not possible to have a quadrilateral with exactly 3 right angles (and the fourth angle is some non-right angle). This is because all four angles of any quadrilateral must add to 360 degrees.

Answer:

(D) $1 050

Step-by-step explanation:

Simple interest = 7000 × 3 × 5/100 =

70 x 15 = 1 050

Answer:

Step-by-step explanation:

14.

A.  

x = 5.0081818181..

10x = 50.08181818181....

100x = 500.81818181818...

100x - x = 500.8181818... - 5. 008181818....

99x = 495.81

[tex]x = \frac{495.81}{99} = \frac{495.81 \times 100}{99 \times 100} \\\\\\x= \frac{49581}{9900}[/tex]

[tex]x = \frac{5509}{1100}[/tex]

14.

B.

[tex]\sqrt{50} - \sqrt{98} + \sqrt{162} \\\\\sqrt{ 2 \times 25} - \sqrt{ 2 \times 49} + \sqrt{2 \times 81}\\\\\sqrt{ 2 \times 5^2} - \sqrt{ 2 \times 7^2} + \sqrt{2 \times 9^2}\\\\5\sqrt2 - 7 \sqrt 2 - 9 \sqrt 2\\\\\sqrt{2} ( 5 - 7 + 9 ) \\\\7\sqrt2[/tex]

15.

[tex]\frac{3 + \sqrt5}{4 - 2\sqrt 5} \\\\= \frac{3 + \sqrt5}{4 - 2\sqrt 5} \times \frac{4 + 2\sqrt5}{4 + 2\sqrt5}\\\\[/tex]                           [tex][ \ rationalizing \ the \ denominator \ ][/tex]

[tex]=\frac{(3 + \sqrt5)(4 + 2\sqrt5)}{(4 -2 \sqrt5)(4 + 2\sqrt5)}\\\\=\frac{12 + 6 \sqrt5 + 4\sqrt5 + 2(\sqrt5)^2}{(4)^2 - (2\sqrt5)^2}[/tex]                    [tex][ \ (a - b)(a +b) = a^2 - b^2 \ ][/tex]

[tex]=\frac{12 + 10 + 10\sqrt5}{16 - (4 \times 5)}\\\\=\frac{22 + 10\sqrt5}{16 - 20 }\\\\=\frac{22+ 10 \sqrt5 }{-4}[/tex]

[tex]= \frac{11}{-2} + \frac{5 \sqrt5}{-2}\\\\= -\frac{11}{2} + \frac{-5 }{2} \sqrt5\\\\[/tex]

[tex]a = - \frac{11}{2} , \ b = -\frac{5}{2}[/tex]

16

[tex]\frac{\sqrt7 + 1 }{\sqrt7 - 1} - \frac{\sqrt7 - 1}{\sqrt7 + 1}\\\\[/tex]

[tex]\frac{(\sqrt 7 + 1 )( \sqrt7 + 1)}{(\sqrt7 - 1 )(\sqrt7 + 1)} - \frac{(\sqrt7 - 1)(\sqrt 7 - 1)}{(\sqrt7 + 1)(\sqrt7 - 1)}[/tex]     [tex][ \ LCM \ of \ denominators : (\sqrt7 -1)(\sqrt7 + 1) \ ][/tex]

[tex]\frac{(\sqrt 7 + 1 )^2 -( \sqrt7 - 1)^2}{(\sqrt7)^2 - 1^2}[/tex]                     [tex][ \ (a \pm b)(a \pm b) = (a \pm b)^2 \ (a-b)(a+b) = a^2 - b^2 \ ][/tex]

[tex]=\frac{(7 + 1 + 2\sqrt7) - ( 7 + 1 - 2\sqrt7)}{7 - 1}\\\\=\frac{8 + 2\sqrt7 - 8 + 2\sqrt7}{6}\\\\= \frac{4 \sqrt7}{6}\\\\= \frac{2 \sqrt 7}{3}[/tex]

Answer:

(6, 2)

Step-by-step explanation:

xD' = (0-0) + (3×2) = 0+6 = 6

yD' = (2-0) + (3×0) = 2+0 = 2

the dilated coordinate D' (6, 2)

Answer:

6 and 2 pls answer my questions plss

Answer:

10:05

Step-by-step explanation:

10:05

7:40+2 hours =9:40+25=10:05

Step-by-step explanation:

Y=x

Y=x+2

Plot graph but not up to scale just for u to understand

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{(x+2)(x+3)^2(x-3)}{(x-4)^2(x+4)}[/tex]

Step-by-step explanation:

i'm going to assume what you have looks like

[tex]\frac{x^2-9}{\frac{x^2-16}{\frac{x^2+5x+6}{x-4}}}[/tex]

Let's start by factoring everything

x²-9= (x+3)(x-3)

x²-16= (x+4)(x-4)

x²+5x+6=(x+3)(x+2)

x-4= x-4

which means what we have looks like

[tex]\frac{(x+3)(x-3)}{\frac{(x+4)(x-4)}{\frac{(x+3)(x+2)}{x-4}}}=\frac{(x+3)(x-3)}{(x+4)(x-4)}\div\frac{x-4}{(x+3)(x+2)}=\frac{(x+3)(x-3)}{(x+4)(x-4)}*\frac{(x+3)(x+2)}{x-4}=\frac{(x+3)^2(x-3)(x+2)}{(x+4)(x-4)^2}[/tex]

And I think that's as simplified as it can get

Answer:

i hatee maths thank u

Step-by-step explanation:

Answer:

-8/3

Step-by-step explanation:

(5+1)2 - (12+32) /3

(6)(2) - (44)/3

12 - 44/3

-8/3

Answer:

2(2x+x-10)

Step-by-step explanation:

The common factor of this expression is 2 so when you factor out a 2 you have to divide everything in the expression by 2.

Answer: (−2)(+2)(/2+5)

Answer:

I'd say 897.27cm². That's the vlosest answer that I see.

Step-by-step explanation:

the second is ur answer

x|y

1|2

2|4

3|8

4|16

Answer:

f (-1) = 3

f (0) = -7

f (2) = -7

f (5) = -7

Step-by-step explanation:

f (-1) = 3

f (0) = -7

f (2) = -7

f (5) = -7

Answer:

(x - 1)^2

Step-by-step explanation:

using middle term break method

x^2 - 2x + 1

here, we need to numbers which gives 1 when multiplied and 2 when add .

=x^2 - (1 + 1)x + 1

=x^2 - x - x + 1

=x(x - 1) -1(x - 1)

=(x -1)(x - 1)

=(x - 1)^2

Step-by-step explanation:

by middle term factorisation method

x^2 -2x + 1

= x^2 -( 1+1)x + 1

= x^2 -x -x + 1

= x(x-1) -1( x -1)

= (x-1)(x-1)

OR

we know above polynomial ( quadratic ) equation is in form

(a - b )^2 = a^2 -2ab + b^2

so it's factories form is

( a- b)( a- b)

Answer:

y = 2x + 14

Step-by-step explanation:

Hope this helps!!!

First, you have to find the slope by using

In other words,

The slope is 2.

Then you plug the rest into point-slope form (you can use either of the points, I used the first one)

Remember that m is the slope.

Distribute the slope to the parenthesis

Isolate the y variable

Answer:

2x+14

Step-by-step explanation:

Answer:

-32..............

......

Answer:

-32.

Step-by-step explanation:

This is basically the same thing as multiplying -2 5 times (-2x-2x-2x-2x-2), and you get -32.

Answer:

10 cm

Step-by-step explanation:

From the diagram,

Applying,

lw = 5/2(bh)..................... Equation 1

Where l = length of the rectangle, w = width of the rectangle, b = base of the triangle, h = height of the triangle.

make w the subject of the equation

w = 5(bh)/2l............... Equation 2

From the diagram,

Given: l = 12 cm, b = 6 cm, h = 8 cm

Substitute into equation 2

w = 5(6×8)/(2×12)

w = 10 cm

Hence the width of the rectangle is 10 cm

Answer:

A

Step-by-step explanation:

The domain of the function graphed below is set of all numbers less than 7 or x<7.

The domain of a function f(x) is the set of points(representing independent variable x) to define the function.

In the shown graph of the function,

The given function is defined everywhere except 7 and greater than 7.

So, the domain of the function is x<7.

Hence, the  domain of the function graphed below is set of all numbers less than 7 or x<7.

To get more about domain visit:

https://brainly.com/question/26098895

Answer:

9,315 km

Step-by-step explanation:

Recall that distance = rate times time.

The distance flown at 950 km/h is (950)(5) km = 4,740 km

and:

The distance flown at 830 km/h is (830)(5.5) km = 4,565 km

Then the total distane Raj traveled is (4,740 km + 4,565 km) = 9,315 km