y = 7x - 15
y = 4x - 12

Answer:

1.4/0.21= 140/21= 20/3

Step-by-step explanation:

Answer:

20:3

Step-by-step explanation:

decimal points can't be ratios so we have to convert to whole numbers:

so 1.4:0.21 becomes:

140:21

after simplifying fully( i divided both sides by 7) we come to 20:3.

Answer:

M=3

Step-by-step explanation:

Hope this helps:)

Answer: B. KL.

Step-by-step explanation:

A kiloliter (kl) is a unit which is derived from the metric SI (System International). This measurement is used when unit of volume with sides equal to one meter (1m) and as such, is equivalent to one cubic meter. One kiloliter (1kl) is which is same as one thousand liters (1000l). The kiloliter is used when volume of liquid is to be measured. This applies to a pool in the question.

Answer:

306 min

Step-by-step explanation:

Answer:

Hey there!

A: 7

B: 6

C: 5

D: 7

X: 10

7x6x5x7x7x7x10x10x10=720,300,000

Let me know if this helps :)

Answer:

13:9

Step-by-step explanation:

The ratio of the number of apples to the number of fruits in the fruit salad is given by the equation A = 9 : 22

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the ratio of number of apples to the number of fruits be A

Now , the proportion will be

The number of pears = 13 pears

The number of apples = 9 apples

Now , the number of fruits = number of pears + number of apples

Substituting the values in the equation , we get

The number of fruits = 13 + 9 = 22

Now , the proportion of apples to fruits A is

Ratio of the number of apples to the number of fruits in the fruit salad A = number of apples : number of fruits

Substituting the values in the equation , we get

Ratio of the number of apples to the number of fruits in the fruit salad

A = 9 / 22

A = 9 : 22

Therefore , the value of A is 9 : 22

Hence , the proportion is 9 : 22

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

Answer:

The graph is in the image

Step-by-step explanation:

[tex]y = \frac{3}{5} x -3\\\\2x -y =-4\\\\y=-6,\:x=-5\\[/tex]

Answer:

C ON EDGE 2020

The function f(x) = [tex]\sqrt{1/x}[/tex] if, F[g(x)] = [tex]\sqrt{(1/x^2 - 3)}[/tex], g(x) = x² - 3, so option C is correct.

The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).

Given:

F[g(x)] = [tex]\sqrt{(1/x^2 - 3)}[/tex]

g(x) = x² - 3

Put the value of g(x) in all the options and check whether it is equal to F[g(x)]  as shown below,

Put it in option 3,

f{g(x)} = [tex]\sqrt{(1/x^2-3)}[/tex]

Thus, f(x) = [tex]\sqrt{1/x}[/tex]

To know more about function:

https://brainly.com/question/5975436

#SPJ2

Answer:

the number of families needed for the survey is 2,157

Step-by-step explanation:

The computation of the number of families needed for the survey is shown below:

Given that

The Standard deviation is $900

Service level = 99%

z value at 99% = 2.58

Expenditures = $50

Based on the above information

The number of families needed for the survey is

[tex]n = (\frac{zs}{E})^2\\\\= (\frac{2.58\times 900}{50})^2[/tex]

= 2,157

Hence, the number of families needed for the survey is 2,157

Answer:

12 feet or 12 ft

Step-by-step explanation:

We solve for this question using Trigonometric function of Tangent

tan θ = Opposite/ Adjacent

θ = Angle of elevation = 33.7°

Opposite side = Height of the lamp = ??

Adjacent side = Shadow of the lamp = 18 feet

Hence,

tan 33.7° = Opposite/ 18

tan 33.7° × 18 = Opposite

Opposite = 12.004507735 feet

Approximately to the nearest foot = 12.0feet

The height of the lamppost with a shadow of 18 ft. is 12 feet.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the lamppost, hence:

tan(33.7) = h/18

h = 12 feet

The height of the lamppost with a shadow of 18 ft. is 12 feet.

Find out more on Trigonometric ratio at: https://brainly.com/question/1201366

Answer:

16.67

Step-by-step explanation:

78 / 4.68

= 7800 / 468

= 16.67

When 78 is divided by 4.68 it gives 16.67 as a result.

From the four basic operations of arithmetic, the division is one. The division is generally done when we want to distribute something in equal portions.

therefore, 78 divided by 4.68 can be solved as,

78 divided by 4.68

[tex]78\div 4.68\\\\=\dfrac{78}{4.68}\\\\=\dfrac{78}{\dfrac{468}{100}}\\\\\\=\dfrac{78 \times 100}{468}\\\\=\dfrac{7800}{468}\\\\=16.6667 \approx 16.67[/tex]

Hence, when 78 is divided by 4.68 it gives 16.67 as a result.

Learn more about Division:

https://brainly.com/question/369266

Answer:

a and c

a and c are the expressions with a difference less than 5

Step-by-step explanation:

a) 8.3-4.07=4.23

b) 9.33-3.99=5.34

c) 7.1-2.603=4.497

d) 12.3-7.08=5.22

e)7.005-2.005=5

Hope this helps ;) ❤❤❤

Answer:

$216

Step-by-step explanation:

We know that the cost of an outfit for one team member is 10 + 26 + 18 = $54, therefore, the cost of outfits for all 4 team members will be 54 * 4 = $216.

Answer:

0.531 s

Hope it helped u if yes mark me BRAINLIEST

Answer:

1/6

Step-by-step explanation:

Given:

Total

Ratio of squares to total shapes:

Answer:

1:6

Step-by-step explanation:

There are 20 triangles and four squares, so we know the first part of the ratio is 4. The total number of shapes is 24, so we get 4:24, and if we simplify, we then get 1:6.

Hope this helps!

the 4th one is a relationship that is a fuction I think

Answer:

4th image

Step-by-step explanation:

the others cannot be functions since one domain cannot be in two ranges

Answer:

The calculated t- value =  1.11 > 2.89 at 0.025 level of significance

Null hypothesis is rejected

The engineer designed the valve such that it would produce a mean pressure is not equal to  5.4

Step-by-step explanation:

Step(i):-

Given mean of the Population (μ) = 5.4

Given sample size 'n' = 9

Mean of the sample (x⁻) = 5.7

Standard deviation of the sample (s) = 0.81

Step(ii):-

Null Hypothesis: H₀:  The engineer designed the valve such that it would produce a mean pressure of 5.4

H₀: μ = 5.4

Alternative Hypothesis : H₁:  μ ≠ 5.4

Level of significance = 0.025

Test statistic

            [tex]t = \frac{x^{-} -mean}{\frac{S}{\sqrt{n} } }[/tex]

           [tex]t = \frac{5.7 -5.4}{\frac{0.81}{\sqrt{9} } }[/tex]

         t = 1.11

Degrees of freedom

ν = n-1 = 9-1 =8

t₀.₀₁₅ , ₈  = 2.89

The calculated t- value =  1.11 > 2.89 at 0.025 level of significance

Null hypothesis is rejected

The engineer designed the valve such that it would produce a mean pressure is not equal to  5.4

Answer:

Step-by-step explanation:

The question lacks the appropriate diagram. Find the diagram attached.

The triangle is a right angled triangle that is made of of three sides namely the opposite, the adjacent and the hypotenuse (the longest side). According to the diagram, the longest side is the side with length x. To get the side length x, we will use the Pythagoras theorem as shown;

hyp² = opp²+adj²

hyp² = 33²+56²

x² = 1089+3136

x² = 4225

take the square root of both sides

√x² = √4225

x = 65

Hence the unknown side length x is 65

Answer:

x =-16

Step-by-step explanation:

[tex]-2(2x + 5) - 3 = -3(x -1)[/tex]

Expand

[tex]\mathrm{Expand\:}-2\left(2x+5\right)-3:\quad -4x-13\\\\\mathrm{Expand\:}-3\left(x-1\right):\quad -3x+3\\\\-4x-13=-3x+3[/tex]

Collect like terms and simplify

[tex]-4x+3x =3+13\\-x =16\\[/tex]

Divide both side by -1

[tex]\frac{-x}{-1}=\frac{16}{-1}\\\\x =-16[/tex]

Answer:

100 girls

Step-by-step explanation:

The ratio of boys : girls is 2 : 5.

In other words, boys are 2 parts of the school while girls are 5 parts of the school.

Since there are 40 boys, 2 parts of the school is 40. Thus:

[tex]2p = 40\\p = 20[/tex]

1 part is 20.

Since there are 5 parts girls, there are

[tex]5p = 5*20 = 100[/tex]

100 girls.

Answer: 100 girls

The total number of students in school is 140 and number of girls at the school is equal to 100.

What do you mean by ratio ?

Ratio is the quantitative relationship between two values indicating how frequently one value contains or is contained within the other.

It is given that the ratio of boys to girls at the school is 2:5.

Let's assume the total number of students in school is x.

We now need to find the number of girls in the school but before that we must try to find the total number of students in the school.

Sum of ratios = 2 + 5 = 7

It is given that there are 40 boys in students.

2/7 of the total number of students are boys.

i.e., the expression can be written as :

2x / 7 = 40

2x = 40 × 7

2x = 280

x = 140

The total number of students in school is 140.

So , the number of girls in school is :

= 140 - 40

= 100

There are 100 girls in the school.

Therefore , the total number of students in school is 140 and number of girls at the school is equal to 100.

Learn more about ratios here :

https://brainly.com/question/26460724

#SPJ2

Answer:

Pham Family = 30 hours

Morgan Family = 35 hours

Step-by-step explanation:

Step 1 Deriving the equation

Let the duration in hours of Pham Family sprinkler = "x"

Let the duration in hours  of Morgan Family = "y"

Total combined duration = 65 hours provided.

That is:

x + y = 65                               Equation 1

Pham's sprinkler capacity = 25 litre per hour

Total water through this = 25 litre per hour for "x" hours = 25x

Morgan's sprinkler capacity = 35 litre per hour

Total water through this = 35 litre per hour for "y" hours = 35y

Now, provided

Total water output from both = 1,975 litre

That means

25x + 35y = 1,975                   Equation 2

Step 2 Solving the equation

Let us multiply equation 1 with 25

We have

25x + 25y = 65 [tex]\times[/tex] 25

25x + 25y = 1,625                       Revised Equation 1

Subtracting revised equation 1 from equation 2 we have:

(25x - 25x) + (35y - 25y) = (1,975 - 1,625)

0 + 10y = 350

y = 350/10 = 35

Since y = 35

Putting value of y in original equation 1 we have

x + 35 = 65

x = 65 - 35 = 30

Thus, Total Sprinkler hours of Pham = 30

Total Sprinkler hours of Morgan = 35

Answer: m+3

Step-by-step explanation:

Since the jump from each number increases by 3, you would write m+3, since m is indicated in the pattern.

Answer:

Step-by-step explanation:

Average cost = Total cost to produce / number of items produced

Fixed cost per year = $240,000

Variable cost = $3.50s

Where s = number of shoes produced

Total cost= fixed cost + variable cost

Total cost = $240,000 + $3.50s

When average cost = $7.50

Average cost = Total cost to produce / number of items produced

7.50 = $240,000 + $3.50s / s

Cross product

7.50s = $240,000 + $3.50s

Collect like terms

7.50s - 3.50s = 240,000

4s = 240,000

divide both sides by 4

s = 240,000 / 4

= 80,000

s = 80,000

Answer:

In bold below.

Step-by-step explanation:

p^2 - 4 = (p - 2)(p + 2)

Note that 8 = 2^3 so

p^3 + 8 = ( p + 2)(p^2 + 4 - 2p)

So The HCF is p + 2.

The LCM =  (p + 2)(p - 2)(p^2 + 4 - 2p)

Answer:

The other leg is 4 m long, and the hypotenuse is 5 m long

Step-by-step explanation:

Recall that the longest side of a right angle triangle is its hypotenuse, and that the legs and hypotenuse must verify the Pythagorean identity:

[tex]hyp^2=leg_1^2+leg_2^2[/tex]

so, we know that the other two sides have consecutive integers for lengths. That is: if one is "x" in length, the other one must be "x+1"

So we can assume that the largest of this is the hypotenuse: "x+1"

Not, they must verify the Pythagorean identity:

[tex]hyp^2=leg_1^2+leg_2^2\\(x+1)^2=x^2+3^2\\x^2+2\,x+1=x^2+9\\2\,x+1=9\\2\,x=8\\x = 4[/tex]

then, the other side is of length 4 m, and finally the hypotenuse is of length 4+1 = 5 m

Answer:

96

Step-by-step explanation:

The value of AZ will be 40.

A is a point between Y and Z and YA = 14x , AZ = 10x and YZ = 12x + 48.

We have to calculate the value of AZ.

What is the value of MP , if N is the midpoint of M and P ?

The value of MP will be equal to the summation of NM and NP i.e., MP = NP + NM .

As per the question ;

A is the midpoint of Y and Z.

⇒ AZ + YA = YZ

⇒ 10x + 14x = 12x + 48

⇒ 24x = 12 x + 48

⇒ 12x = 48

⇒ x = 4

So ,

The value of AZ will be ;

AZ = 10 × 4

AZ = 40

Thus , the value of AZ will be 40.

To learn more about line segments click here ;

https://brainly.com/question/17374569

#SPJ2

Answer:

The Set of Natural Numbers: {1, 2, 3, 4, 5, . . .}

The Set of Whole Numbers: {0, 1, 2, 3, 4, 5, . . .}

The Set of Integers: {. . . , −5, −4, −3, −2, −1, 0, 1, 2, 3, 4, 5, . . .}

Step-by-step explanation: