Solve the following simultaneous equations : with the help of steps
1. x + 2y = 1, 3x - y = 17​

Answer:

It would be losing 300.

Step-by-step explanation:

The opposite of gaining is losing the integer would be -300

Answer:

-300

Step-by-step explanation:

Answer:

78

Step-by-step explanation:

Mode = number that appears most in a set of numbers

The number that appears the most in this set is 78. So, the mode is 78. Hope it helps!

Answer:

Step-by-step explanation:

arrange in ascending order

39,43,43,50,55,61,75,78,78,78

mode=78

Answer:

2x5-4x2-25

Step-by-step explanation:

First you distribute the negative sign to the second equation which makes each number it's opposite

Which would result in 4x5-13x2-10-2x5+9x2-15

Then you combine like terms and get 2x5-4x2-25

Answer:

-23

Step-by-step explanation:

Answer:

x =-19

Step-by-step explanation:

[tex]-4(x + 1) - 3 = -3(x - 4).\\\\\mathrm{Expand\:}-4\left(x+1\right)-3:\quad -4x-7\\\\\mathrm{Expand\:}-3\left(x-4\right):\quad -3x+12\\-4x-7=-3x+12\\\\\mathrm{Add\:}7\mathrm{\:to\:both\:sides}\\-4x-7+7=-3x+12+7\\\\Simplify\\-4x=-3x+19\\\\\mathrm{Add\:}3x\mathrm{\:to\:both\:sides}\\-4x+3x=-3x+19+3x\\\\Simplify\\-x=19\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\\frac{-x}{-1}=\frac{19}{-1}\\\\Simplify\\x=-19[/tex]

Answer:

We have this equation:

-4(x+1) - 3 = -3(x-4)

First of all, we solve the paretheses:

-4x - 4*1 - 3 = -3x - (-3*4)

-4x - 4 - 3 = -3x +  12

-4x -7 = -3x + 12

We sum 7 on both sides and 3x on both too:

-4x - 7 + 7 + 3x = -3x + 12 + 3x + 7

-4x + 3x = 12 + 7

-x = 19

x = -19

Now we can verify:

-4(-19+1) - 3 = -3(-19-4);

-4(-18) - 3 = -3(-23);

72 - 3 = 69 (TRUE)

Answer:

[tex]\bold{\dfrac{6}{7}}[/tex]

Step-by-step explanation:

Given ratio is:

8 gal to [tex]9\frac{1}3[/tex] gal

To find:

Ratio in Lowest form with whole numbers in numerator and denominator.

Solution:

First of all, let us convert [tex]9\frac{1}3[/tex] to simple [tex]\frac{p}{q}[/tex] form:

Formula:

[tex]a\dfrac{b}{c} = \dfrac{a\times c+b}c[/tex]

Using the formula, we get:

[tex]9\dfrac{1}{3} = \dfrac{9\times 3+1}{3} = \dfrac{28}{3}[/tex]

Now, let us have a look at the ratio:

[tex]8 : \dfrac{28}{3}[/tex]

Any ratio, [tex]p:q[/tex] can be written as [tex]\frac{p}{q}[/tex].

Writing given ratio as per above:

[tex]\dfrac{8}{\dfrac{28}{3}}\\\Rightarrow \dfrac{8 \times 3}{28}\\\Rightarrow \dfrac{2\times 3}{7}\\\Rightarrow \bold{\dfrac{6}{7}}[/tex]

Therefore, the answer is

[tex]\bold{\dfrac{6}{7}}[/tex]

Answer:

0.85x - $50

Step-by-step explanation:

Given that :

Brandon wants to buy a new bike. The model he likes is on sale for 15% off its original price. His parents agree to pay for $50 of the cost. If the original cost of the bike is x dollars, which of the expressions below represent the amount Brandon has to pay

Discount on price = 15%

Amount parents agreed to pay = $50

Cost of bike = x

Discount on bike = 0.15x

Cost after discount is removed = (x - 0.15x) = 0.85x

Parent pays $50 of cost price, amount Brandon will have to pay equals :

(0.85x - $50)

Answer:

0.85x - $50

Step-by-step explanation:

Answer:

The scalar used does not exist in the real number system.

Step-by-step explanation:

The ratio 16:14 is not equivalent to the ratio 64:60 because the scalar used does not exist in the real number system.

Note, that the ratio 64:60 can be scaled down by 4 to be the ratio 16:15, which is not the ratio 16:14.

In order to scale 64:60 to 16:14 or vise versa, you'd have to use a number that simply does not exist in the real number system.

Cheers.

One day is equivalent to 86400 seconds.

So 86400÷20=4320 gallons

Answer:

x=-3/5

Step-by-step explanation:

3(x + 5) = 2(4x + 9) ​

First, distribute:

3(x)+3(5)=2(4x)+2(9)

3x+15=8x+18

-5x= 3

x= -3/5

Answer:

Angle A is 30

Angle B is 150

Step-by-step explanation:

So we have the supplementary angles A and B. In other words:

[tex]A+B=180[/tex]

We are also told that Angle B is 30 more than four times Angle A. In an equation, this is:

[tex]B=30+4A[/tex]

We now have a system of equations. Solve by substitution of B into the first equation:

[tex]A+B=180[/tex]

[tex]A+(30+4A)=180[/tex]

Combine like terms:

[tex]5A+30=180[/tex]

Subtract 30:

[tex]5A=150[/tex]

Divide by 5:

[tex]A=30[/tex]

So, Angle A is 30 degrees.

And since the angles are supplementary, this means that Angle B is 180 minus 30 or 150 degrees.

Answer:

144

Step-by-step explanation:

Subtract 2 from 7 to get 5.

5×24+34−10=144

Multiply 5 and 24 to get 120.

120+34−10=144

Add 120 and 34 to get 154.

154−10=144

Subtract 10 from 154 to get 144.

The result of the given expression is 144

Expression has different terms separated by mathematical signs

Given the expression

(7−2)24+34−10

Using the PEDMAS rule

Parethesis first to have:

(7−2)24+34−10

= 5(24) + 34 - 10

Followed by multiplication

= 120 + 34 - 10

Then followed by Addition

= 154 - 10

Finally subtraction

154 - 10 = 144

The result of the given expression is 144

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Answer:

v=16/3

Step-by-step explanation:

3(2v-9)=5

Multiply 2v and -9 with 3

6v-27=5

Add 27 to both sides

6v=32

Divide both sides by 6

v=16/3

Answer:

k = 3/4

Step-by-step explanation:

Parallel lines have the same slope so first, we need to find the slope of 8x + 6 = 2y. To do so, we can do the following:

8x + 6 = 2y

2y = 8x + 6

y = 4x + 3 (This is now in slope intercept form - y = mx + b where m = slope and b = y-int.)

Therefore, the slope is 4. Now, we can do:

3x = ky - 10

3x - 10 = ky

(3x / k) - (10 / k) = y

y = (3x / k) - (10 / k)  (where k ≠ 0)

Now that the second line is in slope-intercept form, we can set the two x terms equal to each other, therefore:

3x / k = 4x

3x = 4x * k

3x / 4x = k

k = 3/4

Answer:

distance= 9 units to the nearest

Step-by-step explanation:

using the formula

√(∆x)^2+(∆y)^2

√73

= 8.5

= 9 units

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

Work Shown:

d = distance between (-3,1) and (5,-2)

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(-3-5)^2 + (1-(-2))^2}\\\\d = \sqrt{(-3-5)^2 + (1+2)^2}\\\\d = \sqrt{(-8)^2 + (3)^2}\\\\d = \sqrt{64 + 9}\\\\d = \sqrt{73}\\\\d \approx 8.5440037\\\\d \approx 8.5\\\\[/tex]

Alternatively, you can plot the two points on the same xy grid. Then form a right triangle with the two points as the endpoints of the hypotenuse. Use of the pythagorean theorem will result in getting the same approximate distance. The distance formula is effectively the same as the pythagorean theorem, but just in a different form.

Answer:

Y=40

X=67

Step-by-step explanation:

In a cross line problem, one part of the cross, (such as 63°) is always the same on the other side. (like y+23° and 63°. This means Y=40 because 40+23 is 63.

To find x, you must know that 360° is all the way around in degrees. you know that 126° (63 +63) is already taken up. So you subtract 126 from 360 and then multiply the answer by 1/2 because you trying to find the bottom total.(360-126)=234(1/2)= 117 Lastly, you find X in the equation 2x-17=117.

x=67

Answer: The donated $18

Step-by-step explanation:

If each jacket cost $150  then multiply 150 by 4 to find out the total that the store received.

150 * 4 = 600  

Now find 3% of 600 to find out how much they donated to the charity.

3% * 600 = $18

Step-by-step explanation:

x2 + 10x + 25

x2 + 5x + 5x + 25

x(x + 5) + 5(x + 5)

(x + 5)(x+ 5) are the factors

x2 - 36

Both are squares so

x2 - (4)2

Answer:

8

Step-by-step explanation:

8 can be divisible by 8. Therefore, it would be a multiple of 8.

The first multiple of a number is always that number.

All other options given are not multiples of 8.

Hope this helps.

Answer:

4 playlists

:)

Answer:

1408.5 acres

Step-by-step explanation:

If 55% of the land is federally owned, then 100 - 55 = 45% of the land is not federally owned.

We need to find how many acres are not federally owned, in other words, we need to find how many acres represent 45% of the total 3129 acres. So, to do this we can apply a rule of three:

3129 acres ---- 100%

x acres     ------ 45%

[tex]x=\frac{(3129)(45)}{100} =3129(0.45)= 1408.05[/tex]

Therefore, the total of acres that are not federally owned are 1408.5 acres.

Step-by-step explanation:

L=2B

P=2(L+B)

48=2(2B+B)

48=2(3B)

48=6B

B=8yd

L=2*8

=16yd

Answer:

length * width = 16 yd * 8 yd

or

length = 16 yd

width = 8 yd

Step-by-step explanation:

take the rectangular pool to have sides a (length) and 2a (width).

we are told that the length is as twice as its width, therefore,

Perimeter is given by (a + 2a) × 2 = 48 yd

Divide both sides by 2 ⇒ [tex]\frac{((a + 2a) * 2)}{2} = \frac{48 yd}{2}[/tex] ⇒ a + 2a = 24 yd

⇒3a = 24 yd

Divide both sides by 3 ⇒ [tex]\frac{3a}{3} = \frac{24 yd}{3}[/tex] ⇒ a = 8 yd

therefore, the width of the pool is 8 yd and its length is 16 yd (Twice as long as it is wide)

Answer: 14

Step-by-step explanation: 9 small squares with one teddy bear in each, 4 medium squares with 4 bears in each medium square, and 1 big square for the entire thing.

The total number of square is 14

In the counting of figures, you have a shape or a figure. From the given shape you will have to identify a given known shape and count the number of times it is present in the given shape.

According to the question

9 small squares with one teddy bear in each,

4 medium squares with 4 bears in each medium square.

1 big square for the entire thing.

Total square = 9 + 4 + 1

                     = 14

Hence, the total number of square is 14

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Answer:

$257

Step-by-step explanation:

First we multiply the rate by time

8.5*32=$272

then we subtract the uniform fee

272-15=$257

(plz give brianliest ty)

Answer:

8.50x-15

Step-by-step explanation:

Flat rate is 15 so you subtract from income made. 8.50x is how much you make depending on how many hours you work. Thus income-fee= how much you make first week.

Answer:

<abc=14

Step-by-step explanation:

<abc= 14 ; because if the whole thing is 90 and <CBD is already 76 then you subtract 90-76 to get the rest of the angle which is 14 degrees

Answer:

3.85 + 6.29 = 10.14

Hoped I helped

Step-by-step explanation:

3.85+6.29= 10.14

thank

Answer:

[tex]g( x) = \frac{2}{3}x[/tex]

Step-by-step explanation:

Given:

Composite Function:

[tex]h( x)=f( g( x))[/tex]

Also,

[tex]h( x)=\frac{4}{3}x-1[/tex]

To find:

[tex]g( x ) = ?[/tex]

Solution:

First of all, let us learn about a composite function.

Composite function [tex]f( g( x))[/tex] means to write [tex]g( x)[/tex] in place of [tex]x[/tex] in the function [tex]f( x)[/tex].

Let [tex]g( x) = y[/tex]

So, [tex]f( g( x))[/tex] =  [tex]f( y )[/tex].

Therefore,

[tex]h( x) =f( g( x)) = f( y)[/tex]

So, [tex]f( y) = 2y-1[/tex]

We have to solve for [tex]y[/tex] in terms of [tex]x[/tex] to find the value of [tex]g(x)[/tex]:

[tex]\Rightarrow \frac{4}{3}x-1 = 2y-1\\\Rightarrow 2y=\frac{4}{3}x\\\Rightarrow y = \frac{2}{3}x[/tex]

Hence, the answer is [tex]g( x ) = \frac{2}{3}x[/tex].

Checking whether the answer is correct or not:

[tex]f( g( x)) = f( \frac{2}{3}x) = 2\times \frac{2}{3}x -1 = \frac{4}{3}x-1[/tex]

which is [tex]h( x)[/tex].

Hence, our answer [tex]g( x ) = \frac{2}{3}x[/tex] is correct.

The g(x) of the function is:

g(x) = (2/3)x

A function is a relationship between inputs where each input is related to exactly one output.

Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

We have:

h(x) = (4/3)x - 1

h(x) = f(g(x))

f(x) = 2x - 1.

Thus, we can say:

h(x) = f(g(x)) = 2*g(x) - 1

(4/3)x - 1 = 2g(x) - 1

(4/3)x - 1 + 1= 2g(x)

(4/3)x = 2g(x)

(4/3)x * 1/2 = g(x)

(2/3)x = g(x)

g(x) = (2/3)x

Therefore, g(x) = (2/3)x.

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