Model the unknown number problem by writing in algebraic expression. Jonas shared a bag of trail mix equally with 10 of his teammates. T-11 t/11 11t t+11

Step-by-step explanation:

10y+x=-100

10y= -100 - x

y= -100 - x/ 10

y= -10 - x/10

Answer:

4). [tex]-\frac{27}{28}[/tex]

5). Amount payable by the customer = 1416 Rs.

Step-by-step explanation:

4). [tex](\frac{3}{7})\times (-\frac{5}{8})\div (\frac{1}{3}\times \frac{5}{6})[/tex]

   = [tex](-\frac{15}{56})\div (\frac{5}{18})[/tex]

   = [tex](-\frac{15}{56})\times \frac{18}{5}[/tex]

   = [tex]-\frac{54}{56}[/tex]

   = [tex]-\frac{27}{28}[/tex]

5). Cost of the item = Rs 1200

   G.S.T. applicable on this item = 18%

   Amount to be paid for G.S.T.= 1200 × [tex]\frac{18}{100}[/tex]

                                                   = Rs 216

    Total amount payable by the customer = Cost + G.S.T.

                                                                      = 1200 + 216

                                                                      = Rs 1416

Answer:

The answer's the third one listed.

Step-by-step explanation:

The equation to solve for x is:

6x + 16 + 10x - 6 + 90 = 180

16x + 100 = 180

16x = 80

x = 5

To solve for angle BCD, just substitute 5 for x

m = 10(5) - 6

m = 50 - 6

m = 44

Answer:

(- 1, 2 )

Step-by-step explanation:

Given the 2 equations

- 3x - 5y = - 7 → (1)

- 4x + 5y = 14 → (2)

Add the 2 equations term by term to eliminate y , that is

- 7x + 0 = 7

- 7x = 7 ( divide both sides by - 7 )

x = - 1

Substitute x = - 1 into either of the 2 equations and solve for y

Substituting into (1)

- 3(- 1) - 5y = - 7

3 - 5y = - 7 ( subtract 3 from both sides )

- 5y = - 10 ( divide both sides by - 5 )

y = 2

solution is (- 1, 2 )

Answer:

( -1, 2)

Step-by-step explanation:

Since this is asking for elimination, you will need to line up x or y to be the opposite amount:

-3x -5y = -7

-4x + 5y = 14

(notice -5y and 5y are already opposite, therefore no further actions are needed to line them up.)

Next step is to add both equations up to eliminate y and to find x:

-7x = 7

x = -1

After finding x, plug the x back into either one of the equations to solve for y. If you are unsure, you can plug it into the other equations to double check.

If you chose to do equation 1:

-3(-1) -5y = -7

3 -5y = -7

-5y = -10

y = 2

If you chose to do equation 2:

-4(-1) + 5y = 14

4 + 5y = 14

5y = 10

y = 2

After finding x and y, you will find the point ( -1, 2)

Answer: n^3/m^2

Step-by-step explanation:

first, i expressed it with a positive exponent.

1/m^2 x n^3

then, i calculated it from there.

n^3/m^2

The first term will be an x because

x squared breaks down as x times x.

First look for factors of your constant that add to your

coefficient of the middle term in the trinomial.

Also note that the constant is negative and a negative

factors as the product of a positive and a negative.

The factors of -20 that add to -8 are -10 and +2.

So we have y = (x - 10)(x + 2).

Those integers are {-1,0,1,2,3,4} (integers in the range -2 and 4)

The integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is -2<x≤4.

The integer values of x that satisfy the inequality are

{-2, -1, 0, 1, 2, 3, 4}

Therefore, the integer values of x that satisfy the given inequality are {-2, -1, 0, 1, 2, 3, 4}.

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Answer:

[tex]\frac{\sqrt[3]{20}}{5}[/tex]

Step-by-step explanation:

Let [tex]x = \sqrt[3]{\frac{4}{25}}[/tex], we proceed to show the procedure to determine the simplest form of this number:

1) [tex]\sqrt[3]{\frac{4}{25} }[/tex] Given.

2) [tex]\left(\frac{4}{25}\right)^{1/3}[/tex] Definition of cubic root.

3) [tex][4\cdot (25)^{-1}]^{1/3}[/tex] Definition of division.

4) [tex](4)^{1/3}\cdot [(25)^{-1}]^{1/3}[/tex]  [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

5) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{1/3}\} \cdot \{[(25)^{-1}]^{2/3}\cdot [(25)^{-1}]^{-2/3}\}[/tex] Modulative and associative properties/Existence of multiplicative inverse/[tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

6) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot \{[(25)^{-1}]^{1/3}\cdot [(25)^{-1}]^{2/3}\}[/tex] Commutative and associative properties

7) [tex]\{(4)^{1/3}\cdot [(25)^{-1}]^{-2/3}\}\cdot (25)^{-1}[/tex]  [tex]a^{b}\cdot a^{c} = a^{b+c}[/tex]

8) [tex][(4)^{1/3}\cdot (25)^{2/3}]\cdot (25)^{-1}[/tex]  [tex](a^{b})^{c} = a^{b\cdot c}[/tex]

9) [tex][4\cdot (25)^{2}]^{1/3}\cdot (25)^{-1}[/tex] [tex](a^{b})^{c} = a^{b\cdot c}[/tex]/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

10) [tex](2500)^{1/3}\cdot (25)^{-1}[/tex] Definition of power and multiplication.

11) [tex][(125)\cdot (20)]^{1/3}\cdot (25)^{-1}[/tex] Definition of multiplication.

12) [tex](125)^{1/3}\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] [tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]/Associative property.

13) [tex]5\cdot [(20)^{1/3}\cdot (25)^{-1}][/tex] Definition of cubic root.

14) [tex]5\cdot [(20)^{1/3}\cdot (5)^{-1}\cdot (5)^{-1}][/tex] Definition of multiplication/[tex]a^{c}\cdot b^{c} = (a\cdot b)^{c}[/tex]

15) [tex][(20)^{1/3}\cdot (5)^{-1}][5\cdot (5)^{-1}][/tex] Commutative and associative properties.

16) [tex](20)^{1/3}\cdot (5)^{-1}[/tex] Existence of multiplicative inverse/Modulative property

17) [tex]\frac{\sqrt[3]{20}}{5}[/tex] Definitions of cubic root and division/Result

Answer:

[tex]x_1=5,\\x_2=2[/tex]

Step-by-step explanation:

Problem 1:

The angles [tex]\angle 3[/tex] and [tex]\angle 7[/tex] are corresponding, and thus are equal to each other. We can then set up the following equation:

[tex]5x+2=27,\\5x=25,\\x=\fbox{$5$}[/tex].

Problem 2:

The angles [tex]\angle 6[/tex] and [tex]\angle 4[/tex] are supplementary, meaning they add up to [tex]180^{\circ}[/tex]. Therefore, we have the following equation:

[tex]18x+144=180,\\18x+36,\\x=\fbox{$2$}[/tex].

Answer:

1st answer is 5°

Step-by-step explanation:

Z3 = Z7

or, 5x + 2 = 27°

or, 5x = 25°

or, x = 5°

:-))

Answer:

the answer is A.................

Answer:

-2

Step-by-step explanation:

Answer:

(-9,5) or x = -9 and y = 5

Step-by-step explanation:

Hope this helps!

Answer:

x=6

Step-by-step explanation:

24=4x

divide both by 4

equals 6

Answer:

to find x we have to find the similarly between the smaller and the larger triangle

the two triangle are similar by side angle side(SAS) similarly therom.

we have to see carefully that the two triangle are similar but not congruent.

Step-by-step explanation:

so the bigger triangle is twice big as the smaller.

so 24/4x =2

8x=24

x=24/8

x=3

Answer:

1) 0.9 as fraction is:  [tex]\mathbf{\frac{9}{10}}[/tex]

2) Solve for c =4 for the equation [tex]2 \times (c^2-5)[/tex] we get 22

3) t = 64

4) p=3.15

5) Volume of Cuboid = 160 m³

6) x =9

Step-by-step explanation:

1) Write as fraction: 0.9

For writing the fraction, Since we have decimal point at tent's place so we can write it as: [tex]\frac{9}{10}[/tex]

So, 0.9 as fraction is:  [tex]\mathbf{\frac{9}{10}}[/tex]

2) Solve for c =4

[tex]2 \times (c^2-5)[/tex]

Put c = 4 and find the answer

[tex]2 \times (c^2-5)\\Put\:c=4\\=2\times ((4)^2-5)\\=2\times (16-5)\\=2\times(11)\\=22[/tex]

So, Solve for c =4 for the equation [tex]2 \times (c^2-5)[/tex] we get 22

3) [tex]\frac{t}{4}=16[/tex]

We need to find value of t

Multiply both sides by 4

[tex]4\times\frac{t}{4}=16\times 4\\t=64[/tex]

So, we get t = 64

4) [tex]2.4p=7.56[/tex]

We need to find value of p

Divide both sides by 2.4

[tex]\frac{2.4p}{2.4}=\frac{7.56}{2.4}\\p=3.15[/tex]

So, we get p=3.15

5) Find Volume of Cuboid

The formula used is: [tex]Volume\:of\: Cuboid=Length\times Breadth \times Height[/tex]

We have Length = 4, Breadth = 8 and Height = 5

Putting values and finding volume:

[tex]Volume\:of\: Cuboid=Length\times Breadth \times Height\\Volume\:of\: Cuboid=4\times 8 \times 5\\Volume\:of\: Cuboid=160[/tex]

So, Volume of Cuboid = 160 m³

6) [tex]3x=27[/tex]

We need to find value of x

Divide both sides by 3

[tex]3x=27\\\frac{3x}{3}=\frac{27}{3}\\x=9[/tex]

We get x =9

Answer:

30 degrees

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

30

Step-by-step explanation:

Answer: 3 hours

Step-by-step explanation:

From the question, we are informed that Ellen planned to interview some applicants for a position in her office and that she scheduled ½ of an hour to meet each of them.

The amount of time that she will schedule for all 6 applicants will be:

= 1/2 hour × 6

= 3 hours

Answer:

...

against the wind, an airplane travels 3640 km in 7 hours.

with the wind, the same plane travels 6000 km in 6hrs.

...

let speed of plane in still air be x mph

speed of wind be y mph.

..

t=d/r

..

against wind speed = x-y mph

with wond speed = x=y mph

...

3640/(x-y)=7

3640 = 7x-7y

/7

520=x-y.....................1

...

6000/x+y = 6

6000 = 6x+6y

/6

1000=x+y.....................2

...

Add (1) & (2)

2x=1520

/2

x=760 mph speed of plane in still air

...

plug value of x in 2

1000=760+y

100-760=y

240 = y

240 mph speed of wind

Answer:

Y=16

X=32

Step-by-step explanation:

ï just know you need to do more meth

Answer:

$30

Step-by-step explanation:

5% of 600 = 0.05 × 600 = 30

Answer:

8a+6b+4c is the right answer

Answer:

=1a+6b+4c+7a

=1a+7a+6b+4c

=8a+6b+4c

Answer: f(-4) = 17

Step-by-step explanation: Substitute (-4) for x.

Answer:

c I guess tell me if I am wrong yall

Answer: D. 112°

Step-by-step explanation: Just answered it...

The measure of arc AC, if The line segment AB and BC are the tangents drawn to the circle, and The measure of angle CBA, ∠ CBA = 68°, is 112°, so option D is correct.

A circle is a two-dimensional object made up of points that are spaced out from a given point (center) on the plane by a fixed or constant distance (radius).

Given:

The line segment AB and BC are the tangents drawn to the circle,

The measure of angle CBA, ∠ CBA = 68°,

The measure of the major arc, AC = 248°,

Calculate the measure of the minor arc as shown below,

∠ CBA = Major arc - minor arc / 2   (Tangent circle theorem)

68 = 248 - AC / 2

68  × 2 = 248 - AC
136 = 248 - AC

AC = 248 - 136

AC = 112°

Thus, the measure of arc AC is 112°

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Answer:

The value of g(22) = 31

Hence, option D is correct.

Step-by-step explanation:

Given

To determine

g(f(2)) = ?

To determine g(f(2)), first, we need to calculate f(2)

so substitute x = 2 in f(x)= 4x³ – 10

f(x)= 4x³ – 10

f(2) = 4(2)³ - 10

f(2) = 32 - 10

f(2) = 22

so

g(f(2)) = g(22)

now substitute x = 22 in g(x) = [3x - 4] / [2]

g(x) = [3x - 4] / [2]

g(22) =  [3(22) - 4] / [2]

g(22) = [66-4] / [2]

g(22) = [62] /  [2]

g(22) = 31

so

g(f(2)) = g(22) = 31

Therefore, the value of g(22) = 31

Hence, option D is correct.

Answer:

The correct answer is D. 31.

Step-by-step explanation:

I got it right on the Plato test.

Answer:

the answer is the option : D

Answer:

Y intercept is (0,5), The slope is 5

Step-by-step explanation:

y = slope x + y-intercept