in a survey of group people showed that 60 liked tea, 45 liked coffee, 30 liked milk,25 liked coffee as well as tea,20 liked tea as well as milk,15 liked coffee as well as milk and 10 liked all the three. How many people were asked this question?​

Step-by-step explanation:

[tex](4(2) \: - 6(7) \: 5(1)) \\( 2( - 1) \: 4(5) \: - 1(2) ) \\ (8 \: - 42 \: \: 5 \\ - 2 \: \: \: 20 \: \: - 2)[/tex]

The unit rate of ounces of water per cup of flour for this situation is; 3 ounces per cups

From the given graph, we are expected to find the unit rate of ounces of water per cup of flour for the situation.

Now, to find the unit rate , all we need to do is to pick two coordinates on the line graph and find the slope. Thus;

Slope = (y2 - y1)/(x2 - x1)

Slope of graph = (12 - 9)/(4 - 3)

Slope = 3/1

Slope = 3

Let us pick another two points to verify;

Slope = (6 - 3)/(2 - 1)

Slope = 3/1

Slope = 3

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Answer:

35

Step-by-step explanation:

The consecutive interior angles are supplementary, so:

[tex]3x-11+2x+16=180 \\ \\ 5x+5=180 \\ \\ x+1=36 \\ \\ x=35[/tex]

bbbbbbbbbbbbbbb bbbbbbbbbbbbbb

Step-by-step explanation:

i.)add 3 in 6 which = 9

ii.) follow the negative sign of the larger value which now ur finally answer is -9

Mai's bike ride was 1.5 times the length of Noah's bike ride

Fractions: A numerical value that designates a portion of a whole is used to represent fractions. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.

Distance travelled by Mai in miles = 6 3/4 miles

Distance of Mai in improper fraction = 27/4

Distance travelled by Noah in miles = 4 1/2

Distance of Noah in improper fraction = 9/2

Length of Noah's bike ride as compared to Mai's bike ride = (27/4)/(9/2)

= 27/4*2/9

= 3/2 or 1.5 times

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This statement about distance is proved.

What is distance ?

It is length of space between two points.

Okay, so the first three components of this issue involve more physics and math. So, part A received the formula Ds = R. D. Data. We have to track down S. Therefore, we simply integrate both sides equally using R. D. Data. Our data are provided. Therefore, the upon integration over our data is just R 0 Santa plus 12 beta zeta squared for part B. We'll make sure S = V T. We combine these two by using the above equation as an equal. In order to allow it to reach its roots once positive, we can see that this is Justin's equation for data. The other negative, which is naturally a positive one because it has the proper physical meaning, would indicate that the rotation is occurring in the opposite direction.

Standard units, uh, are zero point 24/7 times, so switch to the nature radio's negative six setting. Additionally, we are given the time, which is 74 minutes, or 4440 seconds. Thus, plugging everything. Injecting R 0 and data mm hmm into the expression for data. Therefore, we enter better Data. V also appears. Everything is therefore known. We can confidently conclude that the data is, um, 1.337 x 10-5 brilliant. or 2.13 x 10 to 4 revolutions, in terms of turns. Okay. We simply re-insert the numbers for beta and tr zero V into the previous expressions for omega and alpha in the final section of the problem.

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Given picture is not a graph of inequality y < 6x + 1

In this question, we have been given a graph.

We need to determine whether the picture is a graph for the inequality y < 6x + 1 or not.

We know that the graph of equation y = 6x + 1 is a straight line and we represent a straight line graph by a solid line.

This graph represents a shaded region below dotted line. This means, this is the graph of inequality.

From this graph we can see that x-intercept of the equation is (2, 0) and y-intercept is (0, - 4)

If we find the x and y-intercept of y = 6x + 1 then it would be,

x - intercept = (-1/6 , 0)

y - intercept = (0, 1)

This means, given picture is not a graph of inequality y < 6x + 1

Therefore, given picture is not a graph of inequality y < 6x + 1

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Answer:

-1/8>-3/8

Step-by-step explanation:

You can write it as a decimal.

-0.125 ? -0.375

Answer:

a= (0,14) (2,-8)

Step-by-step explanation:

Answer: y²-2y-48=(y-8)(y+6)

Step-by-step explanation:

[tex]y^2-2y-48=\\\\y^2-8y+6y-48=\\\\y(y-8)+6(y-8)=\\\\(y-8)(y+6)[/tex]

Answer:

y²-2y-48=(y-8)(y+6)

Step-by-step explanation:by factorization

y2-2y-48= y2-8y+6y48= y(y-8)+6(y-8)= (y-8)(y+6)

The products of the fractions given are:

1. (-3/4)(7/8) → -21/32

2. (2/3)(-4)(9) → -24

3. (5/16)(-2)(-4)(-4/5) → -2

4. (2 3/5)(7/9) → 91/45

To multiply two or more fractions, multiply the denominators of both fractions together, and their numerators together.

1. (-3/4)(7/8)

Multiply the denominators of the fractions together, and also multiply their numerators:

= (-3 × 7) / (4 × 8)

= (-21) / (32)

(-3/4)(7/8) → -21/32

2. (2/3)(-4)(9)

Multiply the denominators of the fractions together, and also multiply their numerators:

= (2 × -4 × 9) / (3)

= -72/3 = -24

(2/3)(-4)(9) → -24

3. (5/16)(-2)(-4)(-4/5)

= (5 × -2 × -4 × -4) / (16 × 5)

= -160/80 = -2

(5/16)(-2)(-4)(-4/5) → -2

4. (2 3/5)(7/9)

= (13/5)(7/9)

= (13 × 7)/(5 × 9) = 91/45

(2 3/5)(7/9) → 91/45

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Answer:

125 : 1

Step-by-step explanation:

given 2 similar objects with ratio of sides a : b , then

ratio of volumes = a³ : b³

here

ratio of pot A : pot B = 15 : 3 = 5 : 1

ratio of volumes = 5³ : 1³ = 125 : 1

Answer: 15840[tex]covert 3 miles to feet[/tex]

Step-by-step explanation:

3 miles equals 15840 feet

Answer: 15840

Step-by-step explanation:

3 miles have 15840 feet

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Answer:

the first one

Step-by-step explanation:

Answer: See attached and/or view below.

Step-by-step explanation:

      Since we are given the equation, we can plug the values into it and solve for the unknown. We will solve by isolating the variable and using reverse operations.

      x = 1, y = 34

2x + y = 36

2(1) + y = 36

2 + y = 36

y = 34

      x = -2, y = 40

2x + y = 36

2(-2) + y = 36

-4 + y = 36

y = 40

      y = 18, x = 9

2x + y = 36

2x + (18) = 36

2x = 18

x = 9

The rate of change of the divers elevation = 19.274

Given,

The depth to which the Scuba dove = -69 [tex]\frac{9}{10}[/tex] feet

The rate at which he dove = -21.5 feet per min.

The time which he spent at the elevation = 12.5min.

The elevation the diver then ascended to -38 [tex]\frac{9}{10}[/tex] feet

Thee total time for the dove = 19 [tex]\frac{1}{8}[/tex] minutes.

Therefore, the time [tex]t_{d}[/tex] with which the scuba diver descended to -69 [tex]\frac{9}{10}[/tex] feet

is given as follows:
[tex]t_{d} = \frac{Distance}{speed}[/tex] = [tex]= \frac{-69\frac{9}{10} }{-21.5}= \frac{-681}{-21.5}[/tex] = 3.167 minutes

The time [tex]t_{e}[/tex], it took the scuba diver to elevate to -38 [tex]\frac{9}{10}[/tex] feet is given as follows:

[tex]t_{e}[/tex] = 19 [tex]\frac{1}{8}[/tex]minutes - (3.167 + 10.5) minutes = 5.458 minutes

The rate of change of the divers elevation = (Final elevation - Initial elevation)/(Time taken).

∴ The rate of change of the divers elevation

= (-38 [tex]\frac{9}{10}[/tex] - (-69 [tex]\frac{9}{10}[/tex] )) / 5.458 min

=(37.1 - (-68.1))/ 5.458 min

= 19.274 feet/minutes to the nearest hundredth.

Hence, The rate of change of the divers elevation = 19.274

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Answer:

Rational

Step-by-step explanation:

Answer:

22.47

Step-by-step explanation:

7/100 = 0.07 (the tax rate) 21 * 0.07 = 22.47, the tax adds on 1.47

A mathematical expression known as an algebraic expression includes variables, constants, and algebraic operations (addition, subtraction, etc.). Expressions include terms. Here, y=3x.

The idea behind algebraic expressions is to represent numbers using letters or alphabets rather than giving their exact values. In algebraic basics, we learned how to express an unknown number using letters like x, y, and z. We will refer to these letters as variables from now on. An algebraic expression may have both constants and variables. Any amount that is added to a variable before it is multiplied by another is known as a coefficient.

A mathematical expression known as an algebraic expression includes variables, constants, and algebraic operations (addition, subtraction, etc.). Expressions include terms.

There are 3 main types of the algebraic expressions which include:

For the above question:

4x3=12 , 5x3=15 , 6x3=18 ,.....

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The complete question:

"Write an equation that represents the pattern in the table

x 4,5,6,7,8

y 12,15,18,21,24 y = __ x"

If the radius to the inside of the shell is 4 millimeters and the radius to the outside of the shell is 4.3 millimeters. the volume of the shell is 19π mm³.

v = 4 / 3πr³

dv =4 / 3π (3r²) dr

Where:

r= radius = 4 cm

dr = 4.3 -4 = 0.3

Hence,

dv = 4 / 3π (16) 3/10

dv =4 / 3π(16) 0.3

dv = 19.2π mm³

dv = 19π mm³ (Approximately)

Therefore the volume of the shell is 19π mm³.

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he Solution:

iven:

The y-intercept of function 1 is:

The y-intercept of function 2 is:

(a) So, the farthest y-intercept from 0 is function 1.

he slope of function 1 is

The slope of function 2 is

he solope of function 3 is -1

The slope of function 4 is 5

(b) hus, the steepest graph is the function with the highest slope.

So, the steepest graph is the graph of function 4 since it has the greatest slope.

(c)

Functions with y-intercept greater than -3 are:

unction 1, function 2, amnd function 4.

The distribution is skewed to the right if the median is to the left of the center of the box and the right whisker is substantially longer the the left whisker

In a boxplot of distribution, the following are the scenarios:

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By using a rotation rule, the image of point P = (- 4, 1) after rotating 180° counterclockwise using center (- 3, 0) is equal to point P'(x, y) = (- 2, 1).

In this problem we find the case of a point that must be rotated 180° counterclockwise (+ 180°) about the point (- 3, 0). Rotation is a kind of rigid transformation, that is, a kind of transformation applied on a point such that Euclidean distance is conserved. The rotation formula for a point P(x, y) = (x, y) around the center O(x, y) = (Ox, Oy) is introduced below:

P'(x, y) = (Ox + (x - Ox) · cos θ - (y - Oy) · sin θ, Oy + (x - Ox) · sin θ + (y - Oy) · cos θ)

Where θ is the angle of rotation.

If we know that O(x, y) = (- 3, 0), P(x, y) = (- 4, 1) and θ = 180°, then the coordinates of the image are:

P'(x, y) = (- 3 + [- 4 - (- 3)] · cos 180° - (1 - 0) · sin 180°, 0 + [- 4 - (- 3)] · sin 180° + (1 - 0) · cos 180°)

P'(x, y) = (- 3 - [- 4 - (- 3)], - 1)

P'(x, y) = (- 3 - (- 1), - 1)

P'(x, y) = (- 2, - 1)

The coordinates of the image are P'(x, y) = (- 2, 1).

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Answer:

j = 1

Step-by-step explanation:

calculate the slope m between the 2 points and equate to - [tex]\frac{7}{10}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, j ) and (x₂, y₂ ) = (5, - 6 )

m = [tex]\frac{-6-j}{5-(-5)}[/tex] = [tex]\frac{-6-j}{5+5}[/tex] = [tex]\frac{-6-j}{10}[/tex]

then equating gives

[tex]\frac{-6-j}{10}[/tex] = - [tex]\frac{7}{10}[/tex] ( cross- multiply )

10(- 6 - j) = - 70 ( divide both sides by 10 )

- 6 - j = - 7 ( add 6 to both sides )

- j = - 1 ( multiply both sides by - 1 )

j = 1

Using concepts of linear functions, it is found that:

The slope-intercept representation of a linear function is:

y = mx + b.

In which:

Two linear functions have the same value when they intersect each other, hence, from the graph given at the end of the answer, they intersect around point (3,65), meaning that they will have the same profit after 3 years, and this profit will be of $65,000.

From the Graph, as it assumes higher values as n goes to infinity, company B has the higher slope, hence it's profit is growing more quickly.

The graph is missing, and is given by the image at the end of the answer.

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by using multiplication, we get that 28 BLT sandwiches can be made by Omar.

We are given that:

For every full head of lettuce used,

Number of tomatoes used = 5

Now, we will use multiplication.

2 full heads of lettuce used = 5 × 2 = 10 tomatoes used

Now, we also have:

2 tomatoes used = 1 1/20 pounds of bacon  used.

= 21/20 pounds of  bacon used.

1 tomato = (21 / 20) × (1 / 2) = 21 / 40 pounds bacon

10 tomatoes = (21 / 40) × 10 = 21 / 4 pounds bacon

Also,

3 / 4 pounds of bacon = 4 sandwiches

1 pound of bacon = 16 / 3 sandwiches.

21 / 4 pounds of bacon = (16 / 3) × (21 / 4) = 28 sandwiches

Therefore, by using multiplication, we get that 28 BLT sandwiches can be made by Omar.

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Answer:

x^2= 50 ------ (equation 1)

x^3= 37 ------- (equation 2)

dividing (equation 2) by (equation 1)

=> x^3/x^2 = 37/50

=> x = 37/50

Answer: x= 37/50