0.7(3x−0.2)=0.3(0.8−2x)

URGENT

20 Points!

Please Help!!!

Answer:

z = 7

Step-by-step explanation:

9z + 4 / 5 - 8 = 5.4

Add 8 to both sides.

9z + 4 / 5 = 13.4

Multiply 5 by both sides.

9z + 4 = 67

Subtract 4 from both sides.

9z = 63

Divide both sides by 9.

z = 7

Answer:

7 (rounded up)

Step-by-step explanation:

9z+4/5=13.5

Multiply both sides by 5

9z+4=67.5

Subtract both sides by 4

9z=63.5

Divide both sides by 9

z=7 (rounded up)

Answer: The plan with 250 minutes is best because she Maximus uses only 245 minutes per month so just 5 min to spare. Also i used mental math

Step-by-step explanation:

1470 divided by 6 equals= 245 minutes exactly unless Katherine had rounded her answer

Final answer:

To determine the best cell phone plan for Katherine, compare the cost per minute for each plan. The second plan, which allows up to 350 minutes per month for $65, has a lower cost per minute.

Explanation:

To determine the best cell phone plan for Katherine, we need to compare the cost per minute for each plan.

For the first plan, Katherine gets 250 minutes for $49, which means the cost per minute is $49/250 = $0.196 per minute.

For the second plan, Katherine gets 350 minutes for $65, which means the cost per minute is $65/350 = $0.1857 per minute.

Since the cost per minute is lower for the second plan, Katherine should choose the plan that allows up to 350 minutes per month for $65.

Answer:

Total cost of boots = $56.02

Step-by-step explanation:

$59 x 0.90 = $53.10

$53.10 x 1.055 = $56.02

or

59 x 0.10 = 5.9

59 - 5.9 = $53.10

53.10 x 0.055 = $2.92 tax

$53.10 + $2.92 = $56.02

Answer:

4.6

Step-by-step explanation:

8.1 + (-3.5) = 8.1 - 3.5

4.6

Answer:3.25$

Step-by-step explanation:

If one paperback book is 0.25 and you buy 3 of them, (0.25 x 3) is 0.75 and a hardcover is 0.50 per book, (0.50 x 5) is 2 dollars and 50 cents and if you add the two, you will get 3.25$

The amount of money to spend to buy 3 paperback books and 5 hardback books is,

⇒ $3.25

Given that,

The cost of Used paperback books is $0.25.

And, cost of hardback books is $0.50

Here, the cost to buy 3 paperback books is,

⇒ [tex]3 \times 0.25[/tex]

⇒ $0.75

And, the cost of 5 hardback books is,

⇒ [tex]5 \times 0.50[/tex]

⇒ $2.50

So, the total cost of 3 paperback books and 5 hardback books is,

⇒ $0.75 + $2.50

⇒ $3.25

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Answer:

D

Step-by-step explanation:

The diagonals of a rhombus intersect at right angles. So sneaky!!

So the third angle of the triangle containing the two base angles is 90 degrees.

Answer:

[tex]x=2.8[/tex]

Step-by-step explanation:

we are given that

line passes through (2,-1) and (6,4)

Firstly, we will find equation of line

First point is (2,-1)

x1=2, y1=-1

second point is (6,4)

x2=6 , y2=4

now, we can find slope

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

now, we can plug values

[tex]m=\frac{4+1}{6-2}[/tex]

[tex]m=\frac{5}{4}[/tex]

now, we can use point slope form of line

[tex]y-y_1=m(x-x_1)[/tex]

now, we can plug values

[tex]y+1=\frac{5}{4}(x-2)[/tex]

since, we have to solve for x from (x,0)

so, we can set y=0

and then we can solve for x

[tex]0+1=\frac{5}{4}(x-2)[/tex]

[tex]5\left(x-2\right)=4[/tex]

[tex]x-2=\frac{4}{5}[/tex]

[tex]x=\frac{14}{5}[/tex]

[tex]x=2.8[/tex]

Answer:

1.A =113.04  cm^2

2.A =616  in^2

Step-by-step explanation:

To find the area of a circle we use the formula

A = pi * r^2  if we know the radius or

A = pi * (d^2/4) if we know the diameter

In problem 1 we know the radius

A = pi * r^2

A = pi * (6)^2

A = 36*pi

Using 3.14 for pi

A = 36* 3.14

A =113.04  cm^2

In problem 2 we know the diameter

A = pi * d^2/4

A = pi * (28)^2/4

A = pi 784/4

A = 196

Using 22/7 for pi

A = 196*22/7

A =616  in^2

Answer:

1. Area of the circle with 6 cm radius is [tex] 113.14 cm^2[/tex].

2. Area of the circle with 28 cm diameter is [tex] 616 cm^2[/tex].

Step-by-step explanation:

1. Radius of the circle ,r=  6 cm

Area of the circle , A= [tex]\pi r^2[/tex]

[tex]A=\pi (6 cm)^2=\frac{22}{7}\times 6 cm\times 6 cm=113.14 cm^2[/tex]

Area of the circle with 6 cm radius is [tex] 113.04 cm^2[/tex].

2. Diameter of the circle = d = 28 cm

Radius of the circle , r = [tex]\frac{28 cm}{2=14 cm[/tex]

Area of the circle , A= [tex]\pi r^2[/tex]

[tex]A=\pi (14 cm)^2=\frac{22}{7}\times 14 cm\times 14 cm=616cm^2[/tex]

Area of the circle with 28 cm diameter is [tex] 616cm^2[/tex].

Answer: 19/24

Step-by-step explanation:

3/8

+

5/12

=

(3 × 12) + (5 × 8)

8 × 12

=

76/96

=

76 ÷ 4

96 ÷ 4

=

19/24

Answer:

60

Step-by-step explanation:

45 divided by 9 is 5. So you multiply 4 times 5. Which equals 20. So 20 plus 45 is 65. Hope you understand it.

Answer:

Each employee will need to contribute $55.

Step-by-step explanation:

275 / 5 = 55

Answer:

275 / 25 = 11    25 goes into 275 11 times

Step-by-step explanation:

Answer:

225 m

Step-by-step explanation:

Since we know they are similar triangles

8                15

---------- = -----------  

120              bridge

Using cross products

8 * bridge = 15* 120

8* bridge = 1800

Divide each side by 8

8/8* bridge = 1800/8

bridge = 225

Answer:

225m

Step-by-step explanation:

the 2 triangles shown are similar by AAA

so their sides are in the same ratio

bridge/15 = 120/8

bridge length = 15*15 = 225m

Answer:

[tex]\frac{c-a}{2}[/tex]

Step-by-step explanation:

given [tex]\frac{a}{2x-c}[/tex] = - 1 ( cross- multiply )

- (2x - c ) = a ( distribute left side )

- 2x + c = a ( subtract c from both sides )

- 2x = a - c ( multiply both sides by - 1 )

2x = c - a ( divide both sides by 2 )

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

Answer:

x = [tex]\frac{(a - c)}{-2}[/tex]

Step-by-step explanation:

a/(2x-c) = -1

The first step is to multiply both sides by (2x - c)

(2x - c)a/(2x-c) = -1(2x - c)

a = -2x + c

a - c = -2x + c - c

a - c = -2x

Divide both side by -2

(a - c)/-2 = x

∴ x = [tex]\frac{(a - c)}{-2}[/tex]

Answer:

5.5 h  

Step-by-step explanation:

There is an inverse relationship between the time (t) it takes to do a job and the number (n) of workers (the more workers. the faster the work gets done).

t = k/n             Divide both sides by n

t/n = k

If we have two different numbers of workers, then

t₁/n₁ = t₂/n₂     Multiply each side by n₂

t₂ = t₁ × n₁/n₂

t₂ = 22 × 1/4

t₂ = 5.5 h

Answer: 51.4 hours

Step-by-step explanation: To figure out the answer to this equation you would divide the cost by how much you make, 475.45÷9.25=51.4

Ryan would need to work approximately 51.51 hours to earn enough money to pay for the guitar.

To find the number of hours Ryan had to work to pay for the guitar, we need to divide the cost of the guitar by his hourly wage.

Divide $475.45 (cost of the guitar) by $9.25 (Ryan's hourly wage):

$475.45 / $9.25

≈ 51.51

This calculation shows that Ryan would need to work approximately 51.51 hours to earn enough money to pay for the guitar.

To check the answer, multiply the number of hours (51.51) by Ryan's hourly wage ($9.25):

51.51 x $9.25 ≈ $476.33

The result is close to the cost of the guitar ($475.45), allowing for small discrepancies due to rounding or decimal approximations. Therefore, this confirms that Ryan would indeed need to work around 51.51 hours to cover the cost of the guitar.

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An integer is any whole number and it can be positive or negative. Integers cannot be fractions!

A few examples of integers are...

21, 4, -6666

Answer:

[tex](3x+5)+\frac{28}{2x-4}[/tex]

Step-by-step explanation:

Since,

The volume of a rectangular prism = Base area × Height,

Given,

Volume of the rectangular prism = [tex]6x^2-2x+8[/tex]

Base area = 2x - 4

Let h be the height,

[tex]\implies 6x^2-2x+8=(2x-4)h[/tex]

[tex]\implies h = \frac{6x^2-2x+8}{2x-4}[/tex]

By long division ( shown below ),

[tex]h=(3x+5)+\frac{28}{2x-4}[/tex]

Which is the required expression that represents the height.

Answer:

[tex](3x+5) + \frac{14}{x-2}[/tex]

Step-by-step explanation:

We are given the following information in the question:

Volume of rectangular prism =

[tex]6x^2 - 2x + 8[/tex]

Area of base of prism =

[tex]2x -4[/tex]

Formula:

[tex]\text{Volume of Prism} = \text{Area of base}\times \text{Height of prism}\\\\\text{Height of prism} = \displaystyle\frac{\text{Volume of Prism} }{\text{Area of base}}[/tex]

Putting the values we, get,

[tex]\text{Height of prism} = \displaystyle\frac{6x^2 - 2x +8}{2x-4} = \frac{2(3x^2-x+4)}{2(x-2)}= (3x+5) + \frac{14}{x-2}[/tex]

Hence, the height of the prism is given by the expression [tex](3x+5) + \frac{14}{x-2}[/tex]

Answer:

Option C) graph of line going through 1, 4 and 3, 10

Step-by-step explanation:

Let y equal to Margo's coin collection

Let x equal to number of years

At the begining x=0, y=1 → Point=(x,y)→Point=(0,1)

She adds 3 coins per year, then y=1+3x

At x=1, y=1+3(1)=1+3→y=4→Point=(x,y)→Point=(1,4)

At x=3, y=1+3(3)=1+9→y=10→Point=(x,y)→Point=(3,10)

The graph of line going through (1, 4) and (3, 10), then the option C is the correct.

Answer:

c.2

Step-by-step explanation:

6x+18=h(3x+9)

To have an infinite number of solutions, the left and right side must be equal

Distribute the h

6x+18 = 3xh +9h

6x = 3xh

Divide by x

6x/x = 3xh/x

6 = 3h

Divide by 3

6/3 =3h/3

2 =h

Lets verify

18 = 9h

Divide by 9

18/9 = 9h/9

2 =h

h must be 2

check the picture below.

Answer:

The answer is PQ is the diameter

Step-by-step explanation:

Answer:C

Step-by-step explanation:If she studies for 10 munites and t equals munite t would go next tp 10 then d would go under it.

d. x=11, y=-5,  z= -71

To solve the given system of equations, we use the method of substitution. The solution is x = 11, y = -5, z = -71.

To find the solution of the given system, we can use the method of substitution.

From the first equation, we have x = -3y - 4. Substituting this value for x in the second equation, we get -3y = 2(-3y - 4) - 7.

Solving this equation, we find y = -5. Substituting this value of y back into the first equation, we can solve for x. Plugging in y = -5, we get x = 11. Substituting these values for x and y in the third equation, we can find z. Plugging in x = 11 and y = -5, we get z = -71.

Therefore, the solution to the system is x = 11, y = -5, and z = -71.

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Answer:

Step-by-step explanation:

A proportional relationship is a straight line through the origin that grows at a constant rate

For table C

The constant of proportionality is y/x

2/1 = 4/3 = 6/5 = 8/7   This is not true so this is not proportional

For table D

The constant of proportionality is y/x

1/2 = 3/6 = 4/8 = 5/10   This is  true so this is  proportional

Answer: 153

I think the answer is 153 because you have to do 950-30 and then divide it by 30 after you do that you multiply it by 5 and get 153.000000...

So you round it to the nearest whole number and that's 153

The resale value of a laptop after 5 years with a 30% decrease in value each year, follows the step-by-step calculation provided.

The resale value of a laptop after each year decreases by 30%. To calculate the resale value after 5 years, we need to consider the decreasing value each year:

After 1 year: $950 - $950 x 30% = $665

After 2 years: $665 - $665 x 30% = $465.50

After 3 years: $465.50 - $465.50 x 30% = $325.85

After 4 years: $325.85 - $325.85 x 30% = $228.10

After 5 years: $228.10 - $228.10 x 30% = $159.67

 Given question is incomplete; here is the complete question.

How did the temperature change if: at first it increased by 25 % and then decreased by 40% ?

   Temperature will finally decrease by 25%.

Let the initial temperature is x° C,

If the temperature is increased by 25%,

Then the final temperature = x° + 25% of x°

                                             = [tex]x+\frac{25x}{100}[/tex]

                                             = [tex]x+0.25x[/tex]

                                             = [tex]1.25x^\circ[/tex]

Followed by the decrease in temperature by 40%,

Then final temperature = 1.25x° - 40% of (1.25x°)

                                       = 1.25x° - 0.5x°

                                       = 0.75x°

Therefore, percentage decrease in temperature from initial temperature x°,

Percentage decrease = [tex]\frac{x^\circ-0.75x^\circ}{x^\circ}\times 100[/tex]

                                    = 25%

    Temperature will finally decrease by 25% when increased initially by 25% then decreased by 40%.

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Answer: (3√14)/14

Step-by-step explanation: you should go buy a scientific calculator Casio or a TI calculator not much about $10 i will help a lot

Answer:

$20.00

Step-by-step explanation:

"$25 pants, 20% off" is equivalent to (1.00 - 0.20)($25), or:

0.80($25) = $20.00

This is the total cost to the nearest cent.

Answer:

$20

Step-by-step explanation:

Lets find the discount

25 * .2 = 5

You get $5 off

Price - discount = price you pay

25-5 = 20

Answer:

y = 5x + 29

Step-by-step explanation:

y=5x+2

Given equation is in the form of y=mx+b

Where m is the slope = 5

and b is the y intercept = 2

When the lines are parallel then their slopes are equal

So the slope of parallel line is also 5 (m=5)

Given that the line passes through (-6,-1)

We use point slope formula

y-y1= m (x-x1)

m=5, x1= -6, y1=-1

Plug in all the values

y - (-1) = 5(x-(-6))

y + 1= 5 (x+6)

y + 1= 5x + 30

Subtract 1 on both sides

y = 5x + 29