The baker pays $0.60 per pound for sugar and $1.35 per pound for butter. Which expression shows how much the baker will spend
if he buys 4 pounds of butter and 10 pounds of sugar?

The value of constant of variation is, 5.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

⇒ p varies jointly as q and the cube of r.

Since, p varies jointly as q and the cube of r.

Hence, We can formulate;

⇒ p = k × q × r²

Where, k is constant of variation.

Here, p = 270 when q = 6 and r = 3.

Substitute all the values, we get;

⇒ p = k × q × r²

⇒ 270 = k × 6 × 3²

⇒ 270 = 54k

⇒ k = 270 / 54

⇒ k = 5

Learn more about the proportion visit:

https://brainly.com/question/1496357

#SPJ2

Answer:

x=9,30............etc

Step-by-step explanation:

if value of x=9 then

the function

value of f(x)=4

if x=30 then value of function f(x)=27

Answer:

Give me sum

Step-by-step explanation:

Answer:

Most scarves will use one to two skeins of yarn. According to the chart above, you will probably need about 300–650 yards, depending on the weight of yarn, the colors, the stitches, style, and length amongst other factors.

Step-by-step explanation:

Answer:

n=5 and it's output is -13

Step-by-step explanation:

By inspection, the inputs increase by +1 and the outputs decrease by 2

Thus ,n=4+1=5 and it's output is -11-2=-13

Answer:

95%is the answer

Step-by-step explanation:

Answer:

95%

Step-by-step explanation:

We can use the balancing method to do this.. first what is the total below 90?

The total is 10% because 90-80 which was the only percentage below 90 is 10%. Then, what is the total above 90?

The total is 5% because the only percentage above 90 is 95 and 95-90 is 5%

Now we use the balancing method to get from 5-10.

Using the balancing method we get 95%

Answer:

B

Step-by-step explanation:

Bbbbb bbbbbbbbbbb

Answer:

I have attached the answer

Answer:

1. 2nd row multiplied by the 3 columns : 7x³ , -35 x²,42

2. 3rd row multiplied by the 3 columns :  -4x² , 20x ,-24

Step-by-step explanation:

The table requires you to perform multiplication of the terms

The product is as follows;

1. 2nd row multiplied by the 3 columns

7x * x² = 7x³

7x * -5x = -35 x²

7x * 6 = 42

2. 3rd row multiplied by the 3 columns

-4 * x² = -4x²

-4 * -5x = 20x

-4*6 = -24

Answer: [tex]\dfrac{K}{2}[/tex] .

Step-by-step explanation:

As we know ,

The slope of a line that passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]  is given by :

[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

The slope of a line that passes through (1 , 7K), and (-3,5K)​ =

[tex]\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}[/tex]

Hence, the slope of the given line is [tex]\dfrac{K}{2}[/tex] .

Answer:

well u multiply 60 and 12 which is 720 then multiply that by 4 that equals 2,880 more points

Answer:

Please check the explanation.

Step-by-step explanation:

We know that the slope or rate of change of the function can be:

Function 1

From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0

so using the slope formula

Rate of change = m = y₂-y₁ / x₂-x₁

Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)

Rate of change = m = 4-4 / 1-0

Rate of change = m = 0/1

Rate of change = m = 0

Thus, the rate of change of function 1 is zero.

Function 2

We know the slope-intercept form of linear equation is

[tex]y = mx+b[/tex]

where m is the rate of change or slope of the function and b is the y-intercept

Given the function

[tex]y = 8x+12[/tex]

comparing with the slope-intercept form i.e. y = mx+b

Therefore, the rate of change of function 2 = m = 8

Conclusion

The rate of change of function 1  = 0

The rate of change of function 2  = 8

as

Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.

Answer:

0.477%

6.55%

5.05%

Event in question (a)

Step-by-step explanation:

Given that:

p = 0.67 ; n = 80

Using Normal approximation :

Mean (m) = np = 80 * 0.67 = 53.6

Standard deviation (s) = sqrt(np(1-p)) = sqrt(80*0.67*0.33) = 4.2057

probability that the number who oppose raising the age is

(a) at least 65

65 - 0.5 = 64.5 = x

Z = (x - m) / s

Z = (64.5 - 53.6) / 4.2057 = 2.592

P(Z ≥ 2. 592) = 0.004771 (Z probability calculator)

(b) exactly 50

x = 50 + 0.5 = 50.5 ; x = 50 - 0.5 = 49.5

Z = (50.5 - 53.6) / 4.2057 = - 0.737

Z = (49.5 - 53.6) / 4.2057 = - 0.974

P(Z < - 0.737) - p(Z < 0.974) (Z probability calculator)

0.23056 - 0.16503 = 0.06553

(c) more than 60, and (d) identify any unusual events

x = 60 + 0.5 = 60.5

Z = (60.5 - 53.6) / 4.2057 = 1.64

P(Z > 1.64) = 0.0505

D.) Event with probability of less than 5%, which is event in (a) with probability of 0.477%

Answer:

2000

Step-by-step explanation:

Answer:

2000 ml

Step-by-step explanation:

Answer:

ΔMXP, ΔXMP, ΔPMX

Step-by-step explanation:

A triangle has three sides and three points, so it can only be named using the three points, X, P and M.

Answer: D) 53.74

This value is approximate.

===========================================

Work Shown:

x = length of AB

Use the sine rule to say

sin(angle) = opposite/hypotenuse

sin(B) = AC/AB

sin(61) = 47/x

x*sin(61) = 47

x = 47/sin(61)

x = 53.7376 ..... make sure your calculator is in degree mode

x = 53.74

So AB = 53.74 approximately

Answer:

14720$ he will make and there are 7360 tomatoes

Step-by-step explanation:

Step-by-step explanation:

you need to multiple first by second

Answer:

the water rises 50ft  per minute so for 60min you have to multiply 60 x 50 which will be 3000ft in 60mins

Step-by-step explanation:

Answer:

a. 12.5   b. 14

Step-by-step explanation:

If you add all of the scores together (125) and then divide by the the number of scores in the sequence (10), you get 12.5, and then you need to add the 29 on to 125 and divide that by 11, because thats the new amount of numbers in the sequence, to get 14.

Answer:

C - 29.77

Step-by-step explanation:

Edge 2020

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The angle θ between vectors r and s is 29.766°.

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The product of two vectors is written as,

[tex]r \cdot s = |r|\cdot |s| \times \cos(\hat I)[/tex]

Substituting the values,

125 = 16 · 9 × Cos(θ)

0.868 = Cos(θ)

θ = 29.766°

Hence,  the angle θ between vectors r and s is 29.766°.

Learn more about Multiplication:

https://brainly.com/question/14059007

#SPJ2

Answer:

y = - [tex]\frac{1}{12}[/tex] x + [tex]\frac{127}{12}[/tex]

Step-by-step explanation:

y = 12x - 9

Slope of line perpendicular to given is m = - [tex]\frac{1}{12}[/tex]

P(7, 10)

y - 10 = - [tex]\frac{1}{12}[/tex] (x - 7)

y = - [tex]\frac{1}{12}[/tex] x + [tex]\frac{127}{12}[/tex]

An equation of the line that passes through (7,10) and is perpendicular to the line y=12x−9 is y - 10 = -1/12(x-7)

The equation of a line in point-slope form is expressed as;

y - y0 = m(x-x0)

Given the equation of a line y = 12x - 9

Substitute m = -1/12 and ()7, 10) into the equation above to have;

y - 10 = -1/12(x-7)

Hence an equation of the line that passes through (7,10) and is perpendicular to the line y=12x−9 is y - 10 = -1/12(x-7)

Learn more on equation of a line here: https://brainly.com/question/19011142

Answer:

29

Step-by-step explanation:

add 23 to cancel the negative then add 6 to get the final answer

Answer:

29 units.

Step-by-step explanation:

The distance is  6 - (-23)

= 6 + 23

= 29 units.

Answer.    332.78

Step-by-step explanation:

I subtracted and as awesome its right trust me.

Answer:

irrational

Step-by-step explanation:

3/4 + sqrt(2)

3/4 is rational

sqrt(2) is irrational

The sum of a rational and an irrational number is irrational

Answer: This is a tough question

Depends on if you wanna cook it medium rare, rare, medium well, well done, or do you just wanna eat it raw :D

Step-by-step explanation:

Answer:

128 deg

Step-by-step explanation:

The sum of the measures of the angles of a polygon of n sides is

(n - 2)180

A trapezium has 4 sides, so the sum of the measures of the angles is

(4 - 2)180 = 2(180) = 360

m<CBE + m<C + m<D + m<DEB = 360

Angles ABC and CBE are a linear pair so the sum of their measures is 180 deg.

m<ABC + m<CBE = 180

115 + m<CBE = 180

m<CBE = 65

m<C = x

m<D = 90

Angles DEB and DEF are a linear pair so the sum of their measures is 180 deg.

m<DEB + m<DEF = 180

m<DEB + m<103 = 180

m<DEB = 77

m<CBE + m<C + m<D + m<DEB = 360

65 + x + 90 + 77 = 360

x + 232 = 360

x = 128

Answer: 128 deg

so we will get a lot of teiangles here.

90°+x+CED=180°

also CED+DEF=180°(half circle, 360/2)

CED+103°=180°

CED=180-103=77°

77°+90°+X/2=180°

x/2=180-167=13°