Solve the inequality statement:

4r-5<5r+7

Answer:

After 5 months each company will charge the same amount

Step-by-step explanation:

Math Modeling

The situation raised in the question can be modeled as follows.

Company A charges $75 upfront (flat or fixed fee) plus $20 a month. Being x the number of months of subscription, the total charge Ca is:

Ca = 75 + 20x

Company B charges no upfront fees, and $35 a month. We model its charges Cb as:

Cb = 35x

We want to know the number of months needed to make both companies charge the same amount. We'll do that by equating Ca=Cb:

75 + 20x = 35x

Subtracting 20x:

75 = 35x - 20x

Swapping and simplifying:

15x = 75

Solving:

x=75 / 15

x=5

After 5 months each company will charge the same amount

Answer:

NO SOLUTION

Step-by-step explanation:

8v=8v+4

8v-8v=4

0=4

Therefore, NO SOLUTION

Answer:

(5,1) (4,2)

Step-by-step explanation:

Answer:

s=-1.5

Step-by-step explanation:

We need to isolate the variable.

1. Subtract 4.5s from both sides

2. We now have the equation -4s+1=7

3. Subtract 1 from both sides

4. -4s=6

5. Divide both sides by -4

6. The answer would be s=-1.5

Answer:7.84

Step-by-step explanation:

The quotient we get when 5945 is divided by 612 is 9.7140.

When a number is divided by any other number ,the result is called quotient or we can define quotient as how many times a number divides a certain number.

The quotient we get in division either may be a real whole number or in the form of decimals.

Factors - A number which divides a number completely without leaving any remainder is called factor of that number, Or we can say when a dividend is divided by divisor and if the remainder we get is zero than the divisor ids a factor of that dividend.

When we divide 5945 by 612 we get remainder as 333 .Using division algorithm we can extend the number using zeroes after decimals which results to get 9.7140 as a quotient.

Using the result we can conclude that 612 is not a factor of 5945.

When 5945  is divided by 612 the result is  9.7140.

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Answer:

[tex]\displaystyle s=\frac{3\pi}{4}[/tex]

Step-by-step explanation:

Trigonometric Values

We need to find the angle s in the interval [π/2,π] where:

[tex]\displaystyle \sin s=\frac{\sqrt{2}}{2}[/tex]

There are two possible angles that have the same sine value in the first rotation of s. Any angle on the first quadrant has the same sine as its supplementary angle in the second quadrant.

The first angle s whose sine is [tex]\frac{\sqrt{2}}{2}[/tex] is:

[tex]\displaystyle s=\frac{\pi }{4}[/tex]

The other angle is its supplementary angle:

[tex]\displaystyle s=\pi-\frac{\pi }{4}=\frac{3\pi}{4}[/tex]

Only this last angle lies on the required interval, thus:

[tex]\boxed{\displaystyle s=\frac{3\pi}{4}}[/tex]

Answer:

The last one is 8

Step-by-step explanation:

I'm unsure of the question.

Answer:

33.32

Explantion: 7x4.76

Answer:

All real numbers except x=1.

Answer:

dashed lines are used for both < and >, solid lines are used for >= or <=

Step-by-step explanation:

Answer:

Step-by-step explanation:

Each triangle = - x

There are 4 of them

They equal -4x

The circles all = 1

There are 3 circles on the left

They equal 3*1 = 3

There are eleven circles on the right.

-4x + 3 = 11             Subtract 3

-4x/-4 = 8               Divide by - 4

x = 8/-4

x = -2

Answer:

6x+8

Step-by-step explanation:

38 inches. We write an equation for how much it grows each year, plus the original 8 inches. So, 6(5)+8=38

I messed up sorry I gave you the wrong answer just ignore this

Answer:

1 23/28

Step-by-step explanation:

turn both of your numbers into fractions: 17/3 and 28/9

to turn you equation into something that you can simplify, flip one of your fractions and that will turn the division sign into a multiplication sign:

17/3 x 9/28

you can simplify this by simplifying 9 to 3 and 3 to 1.

this means you now have 17 x 3/28

multiply 17 and 3 together since they are the numerators, you should get 51/28

now turn this into a mixed fraction: 1 23/28

Answer/Step-by-step explanation:

Area of the dinning room table:

Given that scale of the sketch is 1 in = 2½ ft

Length of the dinning room table on the sketch = 2 in

Actual length of dinning room table = 2 × 2½ = 5 ft

Width of the dinning room table on the sketch = 1 in

Actual width of dinning room table = 1 × 2½ = 2.5 ft

Area of dinning room table = length × width = 5 × 2.5 = 12.5 ft²

Area of the dinning room:

Given that scale of the sketch is 1 in = 2½ ft

Length of the dinning room on the sketch = 7⅕ in

Actual length of dinning room = 7⅕ × 2½ = 18 ft

Width of the dinning room on the sketch = 4⅘ in

Actual width of dinning room = 4⅘ × 2½ = 12 ft

Area of dinning room = length × width = 18 × 12 = 216 ft²

Area of the dinning room not covered by the table = area of the dinning room - area of the dinning room table

= 216 - 12.5 = 203.5 ft²

Answer:

2/5

Step-by-step explanation:

Why? Because probability is just possible values over total values, there is 4 red sections and 10 total sections, so the probability is 4/10 = 2/5.

Answer:

[tex]the \: poberbility \:is = \: \frac{number \: of \: red}{total \: number \: of \: color} = \frac{4}{10} = \frac{2}{5} [/tex]

Answer:

Explained below.

Step-by-step explanation:

(a)

In this case we need to determine if the proportion of customer complaints has decreased by more than 10% under the new packaging design.

The hypothesis can be defined as follows:  

H₀: The proportion of customer complaints has not decreased by more than 10% under the new packaging design, i.e. p₁ - p₂ ≤ 0.10.  

Hₐ: The proportion of customer complaints has decreased by more than 10% under the new packaging design, i.e. p₁ - p₂ > 0.10.  

(b)

The information provided is:

n₁ = 220

n₂ = 220

X₁ = 86

X₂ = 41

Compute the sample proportions and total proportions as follows:

[tex]\hat p_{1}=\frac{X_{1}}{n_{1}}=\frac{86}{220}=0.3909\\\\\hat p_{2}=\frac{X_{2}}{n_{2}}=\frac{41}{220}=0.1864\\\\\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{86+41}{220+220}=0.2886[/tex]

Compute the test statistic value as follows:

 [tex]z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}[/tex]

   [tex]=\frac{0.3909-0.1864}{\sqrt{0.2886(1-0.2886)\times[\frac{1}{220}+\frac{1}{220}]}}\\\\=\frac{0.2045}{\sqrt{0.0018665}}\\\\=4.733524\\\\\approx 4.73[/tex]

The test statistic value is 4.73.

Compute the p-value as follows:

[tex]p-value=P(Z>4.73)[/tex]

               [tex]=1-P(Z<4.73)\\=1-(\approx 1)\\=0[/tex]

The p-value of the test is 0.

(c)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

p-value = 0 < α = 0.01.

The null hypothesis will be rejected at 1%significance level.

Thus, there is enough evidence at 1% significance level to support the engineers' claim.

(d)

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

p-value = 0 < α = 0.10.

The null hypothesis will be rejected at 10%significance level.

Thus, there is enough evidence at 10% significance level to support the engineers' claim.

Answer: Yes wheels affect the force, with wheels it moves longer and faster without wheels it doesn't move as much and doesn't go fast.

So they should; Share their conclusion

Step-by-step explanation: This really ez

Answer:

Step-by-step explanation:

4,2,1,3

Answer:

15=3s+1.5p

Step-by-step explanation:

can i please get brainliest?

Answer:

15=3s+1.5p

Step-by-step explanation:

15(total money spent)

3s     s=amount of bars

1.5p    p= amount of sports drinks

Answer: D

Step-by-step explanation:

Using associative property, [tex]8(\frac{1}{4}*\frac{3}{5}) \\[/tex] can be evaluated as 6/5 = 1.2.

The associative property states that the sum or the product of three or more numbers does not change if they are grouped in a different way.

(A × B) × C = A × (B × C).

[tex]=8(\frac{1}{4}*\frac{3}{5}) \\\\=(8*\frac{1}{4}) *\frac{3}{5}\\ \\ = 2* \frac{3}{5} = \frac{6}{5} = 1.2[/tex]

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Answer:

A. - 5

Step-by-step explanation:

Since, line is intersecting x-axis at - 5, therefore zero of the function is - 5.

Answer:

1: p=(2,4) q=(1,1) r=(5,2)

2 I am so sorry. the changing in the shape is not any transformation I've heard of before.

3:90 degree rotation (Counterclockwise.)

4: 180 degree rotation (doesn't matter which way.)

5: 90 degree rotation (clockwise)

6: Up 9 units, over 2 units to the right.

Hope this helps!!

Answer:

for 14).....ans: 0.01

Step-by-step explanation:

convert to a fraction,then convert to a decimal by dividing the numerator by the denominator.

hope this was useful!

Answer:

x = -8 and x = 3

Step-by-step explanation:

Split the equation into 2 possible cases:

2x + 5 = 11

2x + 5 = -11

Then, solve these 2 equations.

2x + 5 = 11

2x = 6

x = 3

2x + 5 = -11

2x = -16

x = -8

So, the 2 solutions are x = -8 and x = 3

Answer:

Step-by-step explanation:

the gcf of that is X

Part A:

The y-intercept is $1,500

The x-intercept is 20 days

Part B:

Equation of the line in point-slope form is  y - 1350 = -75×(x - 2)

Equation of the line in slope-intercept form is y = -75·x + 1500

Equation of the line in standard form  is y + 75·x = 1500

Part C:

f(x) = -75·x + 1500

Part D:

$1,125

Step-by-step explanation:

The information given are;

x,                 g(x)

0,                 $1,500

2,                 $1,350

4,                 $1,200

The equation of a straight line relation between the x, and y, coordinates in slope and intercept form is  y = m·x + c

Where;

m = The slope

c = The y-intercept

From the data, we have two points, (x₁, y₁), (x₂, y₂) given as (0, 1,500), (2, 1350);

The y-intercept = y at x = 0 = 1,500

y = -75·x + 1500

x = 1500/75 = 20

Part B:

The equation in point-slope form is y - y₁ = m×(x - x₁)

Which gives;

Equation of the line in point-slope form is  y - 1350 = -75×(x - 2)

Equation of the line in slope-intercept form is y = -75·x + 1500

Equation of the line in standard form  is y + 75·x = 1500

Part C:

The equation of the line using function notation is f(x) = -75·x + 1500

Part D:

The balance in the bank after 5 days is f(5) = -75 × 5  + 1500 = $1,125