Explain why the ratio 3ft./1yrd. has a value of one

Step-by-step explanation:

6x + 21y = 103

-6x + 23y = 51

The signs of the x coefficients are opposite.  So adding the equations will eliminate the x terms.

44y = 154

y = 3.5

Combining the equations will remove the x terms because the x coefficients have inverse signs. The solution to the given system of linear equations is x = 4.92 and y = 3.5.

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

Here is a system of linear equations:

⇒ 6x + 21y = 103

⇒ -6x + 23y = 51

Inverse signs can be seen in the x coefficients. The x terms will therefore be removed after adding the equations.

⇒ 44y = 154

⇒ y = 3.5

Substitute the value of y = 3.5 in the equation 6x + 21y = 103

⇒ 6x + 21(3.5) = 103

⇒ 6x + 73.50 = 103

⇒ 6x = 103 - 73.50

⇒ 6x = 29.50

⇒ x = 4.92

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Answer:

no solution

Step-by-step explanation:

Given

x + 18 = x - 2 ( subtract 18 from both sides )

x = x - 20 ( subtract x from both sides )

0 = - 20 ← not possible

This indicates the equation has no solution

Answer: 7.5

Step-by-step explanation:

Absolute value is the distance from 0.

-7.5 is is 7.5 units away from 0.

Answer:

17.78×9.208×4.445=727.7275768

D=mass÷volume

mass=density×volume

mass=19.3g/cm3×727,7275768=14045,14223224=14045grams

Answer:

$12

Step-by-step explanation:

Step 1:

$35 - $23

Answer:

$12

Hope This Helps :)

Answer:

Step-by-step explanation:

V = l · w · h

V = (412)(312)(6)

V = (1872)(412)= 771,264 cm^3

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{771264 \: \: {cm}^{3} }}}}}[/tex]

Step-by-step explanation:

[tex] \star{ \sf{ \: length \: of \: a \: rectangular \: prism(l) = 412 \: cm}}[/tex]

[tex] \star{ \sf{ \: width \: of \: a \: rectangular \: prism \: ( \: w \: ) = 312 \: cm}}[/tex]

[tex] \star{ \sf{ \: height \: of \: a \: rectangular \: prism \: ( \: h \: ) = 6 \: cm}}[/tex]

Finding the volume of a rectangular prism having length ( l ) of 412 cm , width ( w ) of 312 cm and height ( h ) of 6 cm :

[tex] \bold{\boxed{ \sf{volume \: of \: a \: rectangular \: prism = lwh}}}[/tex]

[tex] \hookrightarrow{ \sf{volume \: of \: a \: rectangular \: prism \: = 412 \times 312 \times 6}}[/tex]

[tex] \hookrightarrow{\boxed{ \sf { volume \: of \: a \: rectangular \: prism = 771264 \: {cm}^{3} }}}[/tex]

Volume of a rectangular prism = 771264 cm³

Hope I helped!

Best regards! :D

~TheAnimeGirl

Answer:

220 10 4

Step-by-step explanation:

Answer:

36 minutes

Step-by-step explanation:

i have a different saying this so dont get mad

Answer:You will be saving $3.10

Answer:

Step-by-step explanation:

3 T-Shirts price= 15.50

mean 1 T-Shirt price=5.16

3 T-Shirts shipping=12.60

mean 1 T-Shirt Shipping=4.2

If I get 4 then

4 T-Shirts price will be 5.16 x 4 = 20.65

4 T-Shirts shipping will be 4.2 x 4 = 16.8

Total cost will be = 37.45

So Company offers

4 T-Shirts in 14$ with free shiping

you will save 23.45

Answer: $10.33

Step-by-step explanation:

Given: Julio is payed 1.2 times his normal hourly rate for each hour he works over 30 hours in a week.

Last week he worked 40 hours ( > 30 hours by 10 ) and earned $495.60.

Let r = Julio's hourly rate

if he worked over 30 hours in a week, then hourly rate = 1.2r

According to the question

[tex](1.2r)\times 40=495.60\\\\\Rightarrow\ r=\dfrac{495.60}{1.2\times 40}\\\\\Rightarrow\ r=10.325\approx10.33[/tex]

Hence, his hourly rate = $10.33

Answer:

w=-32

Step-by-step explanation:

Answer: w=32

Step-by-step explanation:

Given

w/-4 + 17=9

Subtract 17 on both sides

w/-4 + 17 - 17=9-17

w/-4=-8

Multiply -4 on both sides

w/-4 × -4=-8×-4

Answer:

49$

Step-by-step explanation:

Answer:

[tex]x=-\frac{19}{2}[/tex]

Step-by-step explanation:

hope that was the answer you were looking for :/

Answer:

x = -19/2

Step-by-step explanation:

[tex]-2x+5=24[/tex]

Then subtract 5 from 24

[tex]-2x=19[/tex]

Then divide -2 by 19 to get:

[tex]x = -\frac{19}{2}[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Point B is between points A and C and points A, B, C are collinear so

AB + BC = AC

x-7 + 2x-2 = x + 13

  3x - 9  =  x + 13

      +9           +9

   3x  =  x + 22

   - x       - x

   2x  =  22

BC = 2x - 2 = 22 - 2 = 20

Answer:

72 miles.

Step-by-step explanation:

If he uses 6 gallons of gas, you would do 6 (gallons he used) x 12 (miles per gallon) equaling 72.

Answer:

Faris' arrival time = 3:30 pm + 3 h 54 mnt = 7:24 pm

Answer:

19.24

Step-by-step explanation:

Answer: you can google the Four 4’s assignment and there will be several sites and documents giving you all the answers

Step-by-step explanation:

Answer:

2 between 2 and 4 and 8 between 7 and -1

Answer:

234.696 cm

Step-by-step explanation:

Answer: 234.696

Step-by-step explanation:

1 inch = 2.54 centimeters so

92.4 times 2.54 is 234.696

Answer:

The false statement about rigid transformation is;

In a translation, the segments joining points of the pre-image and their images are perpendicular

Step-by-step explanation:

The direction of a rigid transformation involving a translation can vary from changes in the values of one of the two coordinates of the vertex points in the figure with the same change value for all the vertices or

The translation can also be made by changing the values of both coordinates of the vertex each coordinate having equal value of change which may be different from the value of change of the other coordinate, maintaining the size of the figure.

In the second case, the translation can be in other directions other than vertical or horizontal, such that, the segments joining the points of the pre-image with the corresponding point on the image are parallel.

The false statement about rigid transformation is;

In a translation, the segments joining points of the pre-image and their images are perpendicular

It includes a translation that could be varied from changes in the values of one of the two coordinates of the vertex points having the same change value for all the vertices. The translation could also be made via changing the values of both coordinates of the vertex every coordinate that contains the equal value of change.

Learn more about direction here: https://brainly.com/question/21610275

Answer:

Answer:

c

Step-by-step explanation: got it right prommispromise

Answer:

$1,575

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{1}{3}}}}}} [/tex]

Step-by-step explanation:

[tex] \sf{ \frac{2}{3} + ( - \frac{1}{3} )}[/tex]

We know that [tex] \sf{( + ) \times ( - ) = ( - )}[/tex]

[tex] \dashrightarrow{ \sf{ \frac{2}{3} - \frac{1}{3}} }[/tex]

While performing the addition or subtraction of like fractions , you just have to add or subtract the numerator respectively in which the denominator is retained same.

[tex] \dashrightarrow{ \sf{ \frac{2 - 1}{3}}} [/tex]

[tex] \dashrightarrow{ \boxed{ \sf{ \frac{1}{3}}}} [/tex]

Hope I helped!

Best regards! :D

The sum of 2/3 + (-1/3) in fraction form is 1/3 after applying the arithmetic operation, the answer would be 1/3.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

The number expression is:

= 2/3 + (-1/3)

= 2/3 - 1/3

Taking 3 as LCM

After simplification:

= (2 - 1)/3

= 1/3

Thus, the sum of 2/3 + (-1/3) in fraction form is 1/3 after applying the arithmetic operation, the answer would be 1/3.

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Answer:

$34.66

Step-by-step explanation:

216-8= 208 divided by 6 = 34.666666

Answer: 33$ each

Step-by-step explanation:

you start by subtracting 18 from 216 to get rid of the leftover money.

you'll have ended up with the number 198

divide 198 by 6 and that will be your answer.

Answer:

11^2

Step-by-step explanation:

bc there is two eleven it's 11 to the power of two

Answer:

See below

Step-by-step explanation:

From the segment BD, I will consider the point B as the begin and D as the end of the vector, therefore [tex]\overrightarrow{BD} = \vec{v}[/tex]

Once you want a segment that is twice as long as the given segment, we may say that the magnitude of the vector is

[tex]||2\vec{v} || = \sqrt{(2x)^2 + (2y)^2} = \boxed{ \sqrt{4x^2 + 4y^2} }[/tex]

Note: I'm assuming [tex]\vec{v} \in E^2[/tex], which means the segment is in the plain.

Answer:

D= 10

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\d=\sqrt{(0-6)^2+(1-9)^2}\\d=\sqrt{(-6)^2+(-8)^2}\\d=\sqrt{(36)+(64)}\\d=\sqrt{100}\\d=10[/tex]

If you are asking what 2/3 times 15 is its 10

x+10y

3x+2y+(-2x)+8y

First of all you cannot substitute x with y, so what u do u make the numbers with the same letters they have,and I put -2x because + & - equals to -(minus) :-

3x-2x+2y+8y= x+10y

I don't add 1 to x coze when x alone stands for 1, I added +10y because both the y equations had + they were positive so I add a +.