The sum of 7/3 and four times a number is equal to 2/3 subtracted from five times the number?

Answer:

y= -2/3x+6

Step-by-step explanation:

Using slope intercept form

y = mx+b where m is the slope and b is the y intercept

y = -2/3x +b

Substitute the point into the equation

8 = -2/3(-3) +b

8 = 2+b

8-2 =b

6=b

y= -2/3x+6

Answer:

1. 6 (2a-3b)

6×2a - 3b

=12a-18b

2. a(2ab+3)

a×2ab+3

=2a²b + 3a

3. (x-4)(3x)

=3x² - 12x

just kembangkan... answer my question plss..help me.

Answer:

15.81 ft .

Step-by-step explanation:

This question is based on " Pythagoras Theorem " . If we imagine the given situation as a right angled triangle , then the base will be " 9ft " , and the perpendicular will be " 13 ft" . And the length of the ladder will be equal to hypontenuse of the triangle.

Using Pythagoras Theorem :-

[tex]\implies\rm h^2= p^2+b^2 \\\\\implies\rm h^2 = (9ft)^2+(13ft)^2 \\\\\implies\rm h^2 = 81 ft^2 + 169 ft^2 \\\\\implies\rm h^2 = 250ft^2 \\\\\implies \boxed{ \rm Ladder's \ Length = 15.81 \ ft }[/tex]

Hence the length of the ladder is 15.81 ft.

Answer:

x = 5.5

Step-by-step explanation:

Based on the Mid-segment theorem of a triangle, we would have the following:

EF = 2(AB)

AB = 7

EF = 2x + 3

Plug in the values

2x + 3 = 2(7)

Solve for x

2x + 3 = 14

Subtract 3 from each side

2x + 3 - 3 = 14 - 3

2x = 11

2x/2 = 11/2

x = 5.5

Answer: 7 years

2% = 0.02

3000·0.02=60.00

1 year simple interest = $60.00

420/60=7

7 years

Answer:

2x - 1

Step-by-step explanation:

that is the procedure above

Answer:

5

Step-by-step explanation:

3-(-2) will become positive 5. so number line will go towards positive 5.

Answer:

Step-by-step explanation:

a.

(1.36 L)/(10 hr) = (0.136 L)/(hr)

Flow rate = (0.136 L)/(hr) × (1000 mL)/L = (136 mL)/(hr)

136 mL × (27 mg)/(100 mL) = 36.72 mg

Delivery rate = (36.72 mg)/(hr)

b.

(136 mL)/(hr) × (13 gtt)/(mL) = (1868 gtt)/(hr)

c.

10 hr × (36.72 mg)/)hr) = 367.2 mg

Answer:

[tex]{ \bf{c). \: g(x) = {(x - 3)}^{2} }}[/tex]

Step-by-step explanation:

The horizontal stretch or compression for a function f(x) is given by  g = f(bx) where b is a constant. If b> 0 then the graph of a function is compressed.

As it is given in the question that the function is transformed by a compression factor of 3.

Given function

The value of k will be 3 if the function is transformed by a compression factor of 3

Answer:

19 trains

Step-by-step explanation:

Firstly, we need to calculate the difference in the number of hours

From the question, we have 7 am to 11 pm

7 am to 7 pm is 12 hours

7 pm to 11 pm is 4 hours

So total is 16 hours

16 hours to minutes is multiplied by 60 minutes

We have this as;

16 * 60 = 960 minutes

so to get the number of trains, we simply have to divide the number of minutes by 50

Mathematically, we have this as 960/50

= 19.2

Since we cannot have a fractional train stop, it means the number of trains that has stopped is 19

Answer:

[tex](x + y+ 1)^2[/tex]

Step-by-step explanation:

[tex]Using : (a + b)^2 = a^2 + 2ab + b^2\\\\(x+ y)^2 + 2(x +y) + 1 , \ where \ a = (x+y) , \ b = 1 \\\\= (x +y)^2 + ( 2 \times 1 \times (x+y)) + 1^2\\\\= (x +y+ 1)^2[/tex]

Step-by-step explanation:

Using:(a+b) ² =a²+2ab+b²

Hope it is helpful to you

Answer:

c. 5.5 years, 0.51 years

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Mean of 5.5 years and a standard deviation of 2.1 years.

This means that, for the population, [tex]\mu = 5.5, \sigma = 2.1[/tex]

Random samples of size 17.

This means that [tex]n = 17[/tex]

Use the Central Limit Theorem to find the mean and standard error of the mean of the indicated sampling distribution.

The mean is the same as the mean for the population, that is, 5.5 years.

The standard deviation is:

[tex]s = \frac{\sigma}{\sqrt{n}} = \frac{2.1}{\sqrt{17}} = 0.51[/tex]

This means that the correct answer is given by option c.

Answer:

Test the claim that the proportion of men who own cats is significantly different than the proportion of women who own cats at the 0.2 significance level.

The null and alternative hypothesis would be: H 0 : μ M = μ F H 1 : μ M < μ F H 0 : μ M = μ F H 1 : μ M > μ F H 0 : p M = p F H 1 : p M ≠ p F H 0 : p M = p F H 1 : p M < p F H 0 : p M = p F H 1 : p M > p F H 0 : μ M = μ F H 1 : μ M ≠ μ F

The test is:

right-tailed

left-tailed

two-tailed

Based on a sample of 40 men, 25%Based on a sample of 40 men, 25% owned cats

Based on a sample of 40 women, 40% owned cats

The test statistic is:

The p-value is:

Based on this we:

Reject the null hypothesis

Fail to reject the null hypothesis

Answer:

[tex]\frac{AB}{A"B"}=\frac{1}{2}[/tex]

Step-by-step explanation:

Given

[tex]k = 2[/tex] --- scale factor

Required

Relationship between ABC and A"B"C"

[tex]k = 2[/tex] implies that the sides of A"B"C" are bigger than ABC

i.e.

[tex]A"B" = 2AB[/tex]

[tex]A"C" = 2AC[/tex]

[tex]B"C" = 2BC[/tex]

In [tex]A"B" = 2AB[/tex]

Divide both sides by A"B"

[tex]1 = \frac{2AB}{A"B"}[/tex]

Divide both sides by 2

[tex]\frac{1}{2} = \frac{AB}{A"B"}[/tex]

Rewrite as:

[tex]\frac{AB}{A"B"}=\frac{1}{2}[/tex]

(a) is correct

Answer:

The fabric needs 196.4 ft²

Step-by-step explanation:

∵ The tent formed formed from 4 faces

 two equilateral triangles with side length 7 ft

 two rectangles with dimensions 11 ft and 7 ft

∵ Area equilateral Δ = 1/4 S²√3

∵ Area rectangle = L × W

∴ The area of the prism = 2 × 1/4 × (7)²√3 + 2 × 7 × 11

                                       = 196.4 ft²

Note:

If you find the area of the triangle by the rule 1/2 × base × height

∴ Area Δ = 1/2 × (7) × 6 = 21 ft²

∴ Area tent = 2 × 21 + 2 × 77 = 196 ft²

Two answer very closed

Answer:

273 ft^2 (apparently you have to cover the ground)

Step-by-step explanation:

Answer:

By similar triangles:    BE/20 = 18/25    BE 14.4

Also, (ED + 26) / 26 = 18/14.4

ED = 6.5   and AD = 32.5

Answer:

The people dies in 2004 by aids are 413042853.4

Step-by-step explanation:

growth factor = 1.8

People died in 1983 = 1800

Let the people dies in 2004 is P.

Time, t = 2004 - 1983 = 21

So,

[tex]P = 1800 \times (1.8)^{21}\\\\P = 413042853.4[/tex]

Answer:

Step-by-step explanation:

Set this up as a proportion with the ratios being

[tex]\frac{vinegar}{oil}[/tex]  If there is a 2:5 ratio of vinegar to oil, that ratio looks like this:

[tex]\frac{v}{o}:\frac{2}{5}[/tex] and if we are looking for how much oil, x, is needed for 20 ml of vinegar, then that ratio completes the proportion:

[tex]\frac{v}{o}:\frac{2}{5}=\frac{20}{x}[/tex] and cross multiply.

2x = 100 so

x = 50 ml of oil

s hard and too long I'm only of class 13

Answer:

a) Minimize Z =30 X1 +25 X2+18 X3

subject to following constraints

[tex]1.X1\geq 0.4\left ( X1+X2 \right )\\2.X3\geq 0.15\left ( X1+X2+X3 \right )\\3.X1+X2+X3\leq 150\\4.X3\geq 0.25\left ( X1+X2 \right )\\5.X1\leq 50\\6.X1,X2,X3\geq 0[/tex]

b) Total cost=[tex]30 \times 48+15\times72+18\times30[/tex] = $3180.

c) As the dual price for constraint five is zero hence additional work hours for Lisa won't change the optimum solution.

Step-by-step explanation:  

Step 1:-

a)  

Let's take  

X1 to be the number of hours assigned to Lisa  

X2 to be the number of hours assigned to David  

X3 to be the number of hours assigned to Sarah.  

The objective function is to attenuate the entire cost of the project by deciding an optimum number of hours for every person. the target function is given by -  

Minimize Z =30 X1 +25 X2+18 X3

subject to following constraints

[tex]1.X1\geq 0.4\left ( X1+X2 \right )\\2.X3\geq 0.15\left ( X1+X2+X3 \right )\\3.X1+X2+X3\leq 150\\4.X3\geq 0.25\left ( X1+X2 \right )\\5.X1\leq 50\\6.X1,X2,X3\geq 0[/tex]  

Constraints and explanation:  

1. Lisa must be assigned a minimum of 40% of the entire number of hours assigned to the 2 senior designers.  

2. Sarah must be assigned a minimum of 15% of the entire project time.  

3. The corporate estimates that 150 hours are going to be required to finish the project.  

4. The number of hours assigned to Sarah must not exceed 25% of the entire number of hours assigned to the 2 senior designers.  

5. Lisa features a maximum of fifty hours available to figure on this project.  

6. Non-negative condition.  

Step 2:-  

b)

From the above equations, we get  

The number of hours assigned to Lisa is 48 hours  

The number of hours assigned to David 72 hours  

The number of hours assigned to Sarah 30 hours.  

Total cost=[tex]30 \times 48+15\times72+18\times30[/tex] = $3180.  

Step 3:-

c)  

As the dual price for constraint five is zero hence additional work hours for Lisa won't change the optimum solution.

Answer:

comparing with ax²+bx+c=0

a=3, b=1 , c= -5

Solve using the formula now ,,

Answer:

[tex]Weighted\ Average = 73[/tex]

Step-by-step explanation:

Given

[tex]Lab = 21\%[/tex]

[tex]Tests = 25\%[/tex]

[tex]Exam = 29\%[/tex]

[tex]Lab\ Score = 60[/tex]

[tex]First\ Test = 81[/tex]

[tex]Second\ Test = 69[/tex]

[tex]Exam = 79[/tex]

Required

The weighted average

To do this, we simply multiply each score by the corresponding worth.

i.e.

[tex]Weighted\ Average = Lab\ worth * Lab\ score + Tests\ worth * Tests\ score.....[/tex]

So, we have:

[tex]Weighted\ Average = 21\% * 60 + 25\% * 81 + 25\% * 69 + 29\% * 79[/tex]

Using a calculator, we have:

[tex]Weighted\ Average = 73.01[/tex]

[tex]Weighted\ Average = 73[/tex] --- approximated

Answer:

2 1/8

Step-by-step explanation:

7/8 is the same as 0.875 and therefore you need 0.125 also known as 1/8 to make it a whole number. When you add it to the already existing whole 2 you get three. Subtract three from five to make two which is what you need to add on top to finally get 5.

Answer:

24

Step-by-step explanation:

divide the area in 2 regions

4 x 2 = 8 (area of one region)

4 x 4 = 16 (area of second region)

8 + 16 = 24 (sum of areas of the two regions)

Answer:

Step-by-step explanation:

50 + 8x = 290

8x = 240

x = 30 hours

Answer:

80

Step-by-step explanation:

You mean the "interest on"

I=800×.1×1=80