Two-step equations word problems. Please and thank you in advance!

Answer:

Step-by-step explanation:

Answer:

First, you have to make both fractions the same denorminators :

[tex] \frac{x}{2} + \frac{y}{3} = 1[/tex]

[tex] \frac{x \times 3}{2 \times 3} + \frac{y \times 2}{3 \times 2} = 1[/tex]

[tex] \frac{3x}{6} + \frac{2y}{6} = 1[/tex]

Next, you have make them into 1 fraction :

[tex] \frac{3x + 2y}{6} = 1[/tex]

Then, you have to multiply both sides by 6, in order to get rid fraction :

[tex] \frac{3x + 2y}{6} \times 6 = 1 \times 6[/tex]

[tex]3x + 2y = 6[/tex]

Lastly, you have to move all the unrelated terms to the other side :

[tex]3x + 2y = 6[/tex]

[tex]3x = 6 - 2y[/tex]

[tex]x = \frac{6}{3} - \frac{2}{3} y[/tex]

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

Therefore, the value of x is :

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

Answer:

The solution to the system of equations is (8,11)

Step-by-step explanation:

A system of linear equations includes the line that is created by the equation y = x+ 3

The line through the points (3, 1) and (4, 3)

[tex](x_1,y_1)=(3,1)\\(x_2,y_2)=(4,3)[/tex]

Equation of line =[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Equation of line =[tex]y-1=\frac{3-1}{4-3}(x-3)[/tex]

Equation of line =y-1=2x-6

Equation of line =y=2x-5

On a coordinate plane, a line goes through (0, 3) and (2, 5).

[tex](x_1,y_1)=(0,3)\\(x_2,y_2)=(2,5)[/tex]

Equation of line =[tex]y-3=\frac{5-3}{2-0}(x-0)[/tex]

Equation of line =y=2x+3

Plot all lines on graph

y = x+ 3 ---- Blue line

y=2x-5 --- Green line

y=2x+3  ---- Purple line

Refer the attached figure :

Hence the solution to the system of equations is (8,11)

Answer:

C: (8,11)

Step-by-step explanation:

Answer:

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos  Ф  + i sin  Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243  and  cos  5Ф  + i sin  5Ф = cos 240 + i sin 240

r = 3 and  5Ф = 240 +360p so Ф =  48 + 72p

So Ф = 48, 120, 192, 264, 336  for   48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

3(cos 120 + i sin 120),

3(cos 192 + i sin 192),

3(cos 264 + i sin 264),

3(cos 336 + i sin 336)

Answer:

3900

Step-by-step explanation:

We can round the 888 to 900

Answer:

3900

Step-by-step explanation:

thousands, hundreds tens ones

  3                     8          8       8

Rounding to the nearest hundred, we look at the tens place.  if it is 5 or greater we round up

3900

Answer:

40

Step-by-step explanation:

5*4*2

Answer:

40

Step-by-step explanation:

5*2*4

5 units from each point * 4 points * 2

Answer:

AA SIMILARITY statement

SSS similarity statement is also possible.

Step-by-step explanation:

[tex]In \: \triangle CBA \: and \: \triangle TVU \\ \angle B \cong \angle V... (given) \\

\angle A \cong \angle U... (given) \\

\therefore \triangle CBA \sim \triangle TVU... (By AA\: Postulate) \\ [/tex]

Answer:

y= -3 cos 5x

Step-by-step explanation:

The expression [(a⁻² × b²)/(a² × b⁻¹)]⁻³ in the simplified form will be (a¹² / b⁹).

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The expression is given below.

⇒ [(a⁻² × b²)/(a² × b⁻¹)]⁻³

Simplify the expression, then we have

⇒ [(a⁻² × b²) / (a² × b⁻¹)]⁻³

⇒ [(a² × b⁻¹) / (a⁻² × b²)]³

⇒ [(a⁴ / b³)]³

⇒ (a¹² / b⁹)

The expression [(a⁻² × b²)/(a² × b⁻¹)]⁻³ in the simplified form will be (a¹² / b⁹).

More about the value of the expression link is given below.

https://brainly.com/question/23671908

#SPJ5

Answer:

D. (b^3/a4)^-3

Step-by-step explanation:

boop boop edge dge

Answer:

Its A on Edge

Step-by-step explanation:

Just took the test

Answer:

a

Step-by-step explanation:

Answer:

32.13

Step-by-step explanation:

15.3= c/2.1

c= 15.3* 2.1

c= 32.13

Answer:

32.13 aka C got it right on my quiz

Mark the person on top as Brainliest there are right and answered first

Answer:

C

Step-by-step explanation:

bc i said so i think

Answer:

C

Step-by-step explanation:

C

Answer:

151

Step-by-step explanation:

first, you subtract 2 from 449. then you divide 447 by 3. you would get 149 as the answer.

you would then add 2 to 149 because we are counting 2 and 449 in the sequence. 149+2=151

Answer:

e/4 = 2.5

e/ 4 × 4 = 2.5 × 4

e = 10

His mistake was in step 2 since

2.5 × 4 = 10

Hope this helps

Answer:

200 minutes

Step-by-step explanation:

if i hour is 60 minutes 60+20=80 minutes on 4 pictures 80/4=20 minutes per picture and if she was to draw 10 picture 20*10=200 minutes

Answer:

8. y ≤ |x - 3| -1

9. A. -5

Step-by-step explanation:

8. The function: |x - 3| -1, is the function: |x|, translated 3 units to the right and 1 unit down, just like it is seen in the picture.

To know if the shaded area corresponds to

y ≤ |x - 3| -1

or

y ≥ |x - 3| -1

just replace with one point, for example (0, 1) is in the shaded area.

|0 - 3| -1 = 3 - 1 = 2

1 < 2, then:

y ≤ |x - 3| -1 is correct

9. Given:

f(x) = x - 8

f(x) = -13

Then:

x - 8 = -13

x - 8 + 8 = -13 + 8

x = -5

Answer:

The initial value is 2

Step-by-step explanation:

Answer: The initial value is 2

I took the test.

Answer:

For mean

To show the mean of height measures for 40 students, you need to write-out exactly 40 heights into a calculator and add them up.

Then divide that total number by 40.

Step-by-step explanation:

Eg for 4 students

5 , 5.1, 5.2, 5.7 = 21ft

21/4 = 5.25ft.

Apply the same method but use 40 measures in addition for calulator or long addition. Then divide by 40.

Answer:

if i'm not mistaken

56. a

57. b

56. people bought soda and popcorn= 15

total people buy soda = 25

15/25 = 0.6

57. people didn't buy soda = 15

total people surveyed = 40

15/40 = 0.375 ( round off to 0.38 )

Answer:

7.5cm

Step-by-step explanation:

0.25 cm=10ft

x30.        x30

7.5 cm=300ft

Hpoe this helps! :) :)

Answer:

Please mark be brainliest and I hoped this helped!

x = 80°

Step-by-step explanation:

These are both isosceles triangles, so the top 2 angles are both 65°. The last angle of that triangle is 180° - (65° + 65°) which is 50°. Then, the opposite of that angle is in the next traingle. It is also 50°. So the 2 base angles are both 50°, so x is 180° - (50° + 50°) which is 80°.

The measure of angle 'x' is 65 degrees and this can be determined by using the properties of the isosceles triangle.

Given :

Angles  ---  [tex]65^\circ[/tex] and x

The following steps can be used in order to determine the measure of angle 'x':

Step 1 - Both the triangles are isosceles triangles because in both the triangles two sides are similar.

Step 2 - Let the upper triangle be ABC and the lower triangle be DBE.

Step 3 - The angle B of the triangles can be calculated as:

[tex]\angle A + \angle B + \angle C = 180[/tex]

[tex]65+65+\angle B = 180[/tex]

[tex]\angle B = 50^\circ[/tex]

Step 4 - Now, angle 'x' can be calculated as:

[tex]\begin{aligned}\\\angle D + \angle B + \angle E &= 180\\x+x + 50 &= 180\\2x &= 130\\x &= 65^\circ\\\end{aligned}[/tex]

The measure of angle 'x' is 65 degrees. Therefore, the correct option is B).

For more information, refer to the link given below:

https://brainly.com/question/7558603

If the only perimeters are that the length has to be twice the width and less than 108 meters then there are an infinite amount of possible values for width. For example: 1.0002 and 2.0004 or 4 and 8. You can use an infinite amount of decimal places and therefore have an infinite amount of values.

The largest the width can be is the limit approaching 18 and it has to be greater than 0 tho

Answer:

The circumference is 6908 miles.

Step-by-step explanation:

C=πd

C=π*2200

C=3.14*2200

C=6908

Option B is correct.

Answer:

b

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Parallel lines have the same slope.  Since AB  has a slope of -3, CD will have a slope of -3

Answer:

Domain: All real numbers

Range: y ≤ 0

Step-by-step explanation:

The graph of the function h(x) = -343ˣ is shown below.

We can see that the domain of the functions is all real real numbers.

However, Range of the function only includes 0 or the negative values of y, so Range of the function is y ≤ 0.

It can be clearly seen in the graph that when x increase, y decreases, for example for x = -0.5, the value of y is y = -0.05. If x is increase to x = 0, then value of y decreases to y = -1.

Similarly, when x = 0.1, the value of y is y= -1.8 , if x decreases to 0, then y increases to y=-1.8, which shows that when x decreases, y increase.

Answer:

a)34.746

Step-by-step explanation:

Answer:

A) 272

Step-by-step explanation:

[tex]S_{n}=\frac{n}{2}*[2a + (n-1)d]\\\\s_{16}=\frac{16}{2}[2*2+15*2]\\\\ =8*[4+30]\\\\=8*34\\=272[/tex]

Answer:

272

Step-by-step explanation:

Answer:

13ft

Step-by-step explanation:

Use the pythagorean theorem to find the diagonal length:

[tex]5^{2}+12^{2} =x^{2}[/tex]

[tex]x=13[/tex]

Answer:

A). Negative

Step-by-step explanation:

The slope is -2x

Answer:

Option A is the right option.

Solution,

Consider two points (0,4) and (2,0) on the line.

(0,4)-----> (X1,y1)

(2,0)------->(x2,y2)

Now,

[tex]slope = \frac{y2 - y1}{x2 - x1} \\ \: \: \: \: \: \: = \frac{0 - 4}{2 - 0} \\ \: \: \: \: \: = \frac{ - 4}{2} \\ \: \: \: \: \: = - 2[/tex]

hope this helps ..

Good luck on your assignment..

Answer:

The average velocity of the ball is [tex]137.5 \:ft/sec[/tex]

Step-by-step explanation:

First find the velocities at given times and then form two points. Calculate the slope to find the average velocity. The two points are:

[tex]\left(6,\:396\right)\quad and \quad \:\left(6.5,\:464.75\right)[/tex]

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}=\frac{464.75-396}{6.5-6}[/tex]

[tex]m=137.5[/tex]

Best Regards!

Answer:

for the trapezoid it is 336

Step-by-step explanation: