Ross took a survey of his classmates' preferred food as well as recording their genders. The results are in the table below:

9514 1404 393

Answer:

  a) 6.4 m

  b) 5.7 m

  c) 6.3 m

  d) 6.0 m

Step-by-step explanation:

The benefit of using a spreadsheet for repetitive calculations such as these is that it can also help with the addition/subtraction necessary to find the length not given directly.

In the attached, the "a" length is the one requiring arithmetic; the "b" length is given directly on the diagram, and the "c" length is the hypotenuse of the right triangle with legs "a" and "b". "c" is the direct distance from A to B.

For example, consider figure (a). The horizontal distance from A to B is 10 m-6 m = 4 m. In the attached spreadsheet that difference is entered in row 'a', column 'a' as "=10-6". The length "c" is computed using the Pythagorean theorem:

  c² = a² +b²

  c = √(a² +b²)

For figure (a), this is ...

  c = √(4² +5²) = √41 ≈ 6.4 . . . meters

The answer is C.) (0, 5)

Explaintion is in the pictures

I believe this is the answer if it isn't I'm sorry for wasting your time by answering.

Hope this helps!

Answer:

The number 43 is a composite number because 42 can be divided by 1, by itself and at least by 2, 3, and 7. So it is possible to draw its prime tree. The prime factorization of 42=2*3*7

Step-by-step explanation:

hope this helps :)

Answer:

y+11=-[tex]\frac{1}{4}[/tex](x-4)

Step-by-step explanation:

since the equation is perpendicular to y=4x-2, m=-1/4 (negative reciprocal). (x_1,y_1)=(4,-11), plug all the values into the equation y- y_1 = m(x-x_1) and we get y+11=-[tex]\frac{1}{4}[/tex](x-4)

Answer:

true

Step-by-step explanation:

A matrix can only be added/subtracted with another matrix if the two matrices have the same dimensions

Answer:

17

Step-by-step explanation:

Solve the equation for x then plug that into the 1st expression.

-3 + 4x = -19

4x = -19 + 3

4x = -16

x = -4

then

-3x + 5

-3(-4) + 5 = 12 + 5 = 17

Answer:

Step-by-step explanation:

B

The first diagram shows lines that must be parallel lines cut by a transversal.

Given that, two diagrams out of which we are to select the one which shows lines must be parallel lines cut by a transversal.

In the first figure, the sum of two interior angles is given by

115° + 65° = 180°

which shows that the two lines cut by a transversal are parallel.

So, this option is correct.

In the second figure, the sum of two angles on a straight line is given by

115° + 65° = 180°

which shows that a straight angle is of measure 180°, which does not have any relation in proving the two lines to be parallel.

So, this diagram is not correct.

Thus, the first diagram is the correct option.

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Answer:

(2,-2.5)

Step-by-step explanation:

(2,4) and (2,-9)

((2+2)/2,(4+(-9))/2)

or, (4/2,-5/2)

or, (2,-2.5)

The midpoint of the  vertical line segment in the graph is (2, -5/2), option D is correct.

A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.

We have to find the midpoint of the line joining the two points (2, 4) and (2, -9)

Midpoint = (x₁+x₂/2, y₁+y₂/2)

x₁ = 2, y₁=4, x₂ =2 and y₂ = -9

We have to plug in the values in the above formula

Midpoint = (2+2/2, 4-9/2)

Midpoint = (6/2, -5/2)

=(2, -5/2)

Hence, the midpoint of the  vertical line segment in the graph is (2, -5/2)

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Answer:

Step-by-step explanation:

3x(x - 2y) - 4(x - 5y) = 3x*x - 3x*2y  + x*(-4) - 5y*(-4)  {Distributive property}

                               = 3x² -  6xy - 4x + 20y

Answer:

[tex]y = 2x + 7[/tex]

Step-by-step explanation:

Use Point Slope Form since we are given the slope and coordinates. Why is the slope 2x?

In Depth: Parallel lines never touch so they are Lines that have same slope but different y intercept. An example is a square. A square has four parallel sides. The upper and lower sides will never touch because they are the same slope and they both have a finite distance vertically between them.

Back to the question, let use the Point Slope Form,

[tex]y - y_{1} = m(x - x_{1})[/tex]

Where y1 is the y coordinate of the given point, m is the slope and x is the x coordinates of the given points.

Substitute

[tex]y - ( - 1) = 2(x - ( - 4)[/tex]

[tex]y + 1 = 2(x + 4)[/tex]

Simplify

[tex]y + 1 = 2x + 8[/tex]

[tex]y = 2x + 7[/tex]

Answer:  Rs 137.70

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

Explanation:

6 months = 1/2 year = 0.5 year

1 year, 6 months = 1 yr + 0.5 yr = 1.5 years

Sunayana borrows Rs 12,500 at 12% annual interest for 1.5 years

The amount simple interest she must pay back is

i = p*r*t

i = 12500*0.12*1.5

i = 2,250

The amount of simple interest she must pay back is Rs 2,250 which is on top of the principal Rs 12,500

The total amount she must pay back is p+i = 12,500+2,250 = 14,750

Let x = 14,750 so we can use it later.

--------------

She lends that Rs 12,500 to her friend and this amount is compounded half yearly, aka semiannually. So we'll use n = 2.

The amount Bishwant must pay back to her is

A = p*(1+r/n)^(n*t)

A = 12500*(1+0.12/2)^(2*1.5)

A = 14,887.70

Let y = 14,887.70 so we can use it later.

--------------

Subtract the values of y and x to get the profit she makes

profit = revenue - costs

profit = y - x

profit = 14,887.70 - 14,750

profit = 137.70

The profit is Rs 137.70

Answer:

15

Step-by-step explanation:

For this we must find the GCF, or greatest common factor, because we cannot have multiples.

Factors of 30:

1 , 2, 3, 5, 6, 10, 15, 30

Factors of 15:

1, 3, 5, 15

GCF = 15

Each bag will have 2 Hershey bags, and 1 Blow Pop

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Slope: 4.8, x-intercept: -27/4.8, y-intercept: 27

Step-by-step explanation:

To find the slope, use the formula y = mx + b. In this formula, m represents the slope. Since the given equation is based on the above formula, m is 4.8.

To find the x-intercept, set y equal to 0 and solve for x.

y = 4.8x + 27

0 = 4.8x + 27

-27 = 4.8x

-27/4.8 = x

x = -27/4.8

To find the y-intercept, we use the formula y = mx + b again. In this formula, b represents the y-intercept. And, since the equation is based on this formula, b is 27.

(Remember this for future reference: even though the formula says +b, the y-intercept can still be negative).

I hope this helped!

hope it is help full

Step-by-step explanation:

mark me a brainlist

Answer:

455

Step-by-step explanation:

(1/2(10)(70))13

Mary needs to buy [tex]455~m^3[/tex] spray foam.

The correct answer is an option (B)

"Volume = base area × length,

where, Base area = area of triangle

Length = length(or height) of the triangular prism"

For given question,

Mary wants to get spray foam insulation in her attic space.

To find the amount of spray foam she needs to buy, we need to find the volume of the given triangular prism.

First we find the base area of the given triangular prism.

For a triangular base,

base = 7 m and height =  10 m

Using the formula of the area of the triangle,

[tex]A=\frac{1}{2}\times 7\times 10\\\\ A=7\times 5\\\\A=35~sq.m.[/tex]

Now, we find the volume of the triangular prism.

[tex]V=A\times l\\\\V=35\times 13\\\\V=455~m^3[/tex]

Therefore, she needs to buy [tex]455~m^3[/tex] spray foam.

The correct answer is an option (B)

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Answer:  [tex](x-3)^2 + (y-2)^2 = 16[/tex]

Explanation:

The center of this circle is point A(3,2). These coordinates are the (h,k) values.

The radius is r = 4

Plug those three items into the template [tex](x-h)^2 + (y-k)^2 = r^2[/tex] to arrive at the final answer shown above.

Answer: go to this website https://en.wikipedia.org/wiki/256_(number) it may help you

Step-by-step explanation:

There are 156 natural numbers between 97 and 256.

Natural numbers are defined as refer to a set of all the whole numbers excluding 0. We generally utilize these numbers in our speech and daily activities. Everywhere we look, numbers are used to count things, represent or exchange money, measure temperature, tell the time, etc. These numbers that are used for counting objects are called 'natural numbers'. For example, while counting objects 5 pencils.

Given data as :

The natural numbers are 97 and 256

To determine the numbers between the following, firstly subtract them and then subtract 2 to it.

97 and 256

⇒ 256 - 97

⇒ 158

Substract 2 from it.

= 158 -2

= 156

Thus, there are 156 natural numbers between 97 and 256.

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Answer:

|5x|=3  

5x=3 or 5x=-3  

divide both side by 5  

x=3/5 or -3/5

Step-by-step explanation:

Answer: X = -3/5

X = 3/5

Step-by-step explanation:

-3=5X=3

5X= -3

X= -3/5

5X = 3

X = 3/5

Answer:

Sales goal, S = Q. 10,000

Step-by-step explanation:

Given the following data;

To find his daily sales goal;

[tex] \frac {20}{100} * S = 2000 [/tex]

[tex] 0.2 * S = 2000 [/tex]

Dividing both sides by 0.2, we have;

[tex] S = \frac {2000}{0.2} [/tex]

Sales goal, S = Q. 10,000

This question is solved using proportions, and doing this, it is found that Evan gets 5 Chinese yuans for every Australian dollar.

-----------------------------------------

-----------------------------------------

75 dollars are worth 375 yuans. How much yuans is a dollar worth?

1 dollar - x yuans

75 dollars - 375 yuans

Applying cross multiplication:

[tex]75x = 375[/tex]

[tex]x = \frac{375}{75}[/tex]

[tex]x = 5[/tex]

Evan gets 5 Chinese yuans for every Australian dollar.

A similar question is given at https://brainly.com/question/23352001

Answer:

Slope-intercept form: [tex]y=-\frac{7}{4}x-\frac{19}{2}[/tex]

Point-slope-form: [tex]y-1=-\frac{7}{4}(x+6)[/tex]

Step-by-step explanation:

Hi there!

We want to find the equation of the line perpendicular to the line 4x-7y=2 that goes through (-6, 1) in slope-intercept form, as well as the point-slope form

Slope-intercept form is defined as y=mx+b, where m is the slope and b is the y intercept

Point-slope form is defined as [tex]y-y_1=m(x-x_1)[/tex], where m is the slope and [tex](x_1, y_1)[/tex] is a point

Meanwhile, perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1

So let's find the slope of the line 4x-7y=2

The equation of the line is in standard form, which is ax+by=c, where a, b, and c are integer coefficients a is non-negative, and a and b aren't 0

So let's find the slope of the line 4x-7y=2

One way to do that is to convert the equation of the line from standard form to slope-intercept form

Our goal is to isolate y onto one side

Subtract 4x from both sides

-7y=-4x+2

Divide both sides by -7

y=[tex]\frac{4}{7}x-\frac{2}{7}[/tex]

So the slope of the line 4x-7y=2 is [tex]\frac{4}{7}[/tex]

Now, we need to find the slope of the line perpendicular to it

Use this formula: [tex]m_1*m_2=-1[/tex]

[tex]m_1[/tex] in this case is [tex]\frac{4}{7}[/tex]

[tex]\frac{4}{7}m_2=-1[/tex]

Multiply both sides by [tex]\frac{7}{4}[/tex]

m=[tex]-\frac{7}{4}[/tex]

Let's see the equation of the perpendicular line so far in slope-intercept form:

y=[tex]\frac{-7}{4}x[/tex]+b

We need to find b now

The equation of the line passes through (-6,1), so we can use it to solve for b.

Substitute -6 as x and 1 as y

[tex]1=-\frac{7}{4}*-6+b[/tex]

Now multiply

1=[tex]\frac{42}{4}+b[/tex]

Subtract 42/4 from both sides to isolate b

-19/2=b

Substitute -19/2 as b into the equation

The equation in slope-intercept form y=[tex]\frac{-7}{4}x-\frac{19}{2}[/tex]

Now, here's the equation in point-slope form

Recall that the slope is [tex]\frac{-7}{4}[/tex] , our point is (-6, 1), and point-slope form is [tex]y-y_1=m(x-x_1)[/tex]

Let's label the value of everything to avoid any confusion

[tex]m=-\frac{7}{4} \\x_1=-6\\y_1=1[/tex]

Now substitute those values into the equation

[tex]y-1=-\frac{7}{4}(x--6)[/tex]

We can simplify the x--6 to x+6

[tex]y-1=-\frac{7}{4}(x+6)[/tex]

Hope this helps!

Answer:

Step-by-step explanation:

Do the subtraction in the numerator first. 6 - 8 = -2. So now we have

[tex]\frac{-2}{-4}[/tex]  negative divided by a negative is a positive and that fraction reduces to

[tex]\frac{1}{2}[/tex]

Answer:

Amdjss

Step-by-step explanation:

Answer:

Step-by-step explanation:

A ∪ B -----> we have to write all the elements from A & B set without duplicating.

B∩C ------> We have to write only the elements that are found in both B set and C set

A) A ∪ B = {1,3,5, 6, 7, 9, 10,12}

b) A ∪ C = {1, 3, 5, 6, 7, 9, 10,2,4,8,12}

c) B ∩ C = {10,12}

Answer:

a. A U B = { 1,3,5,6,7,9,10,12 }

b. A U C = { 1,2,3,4,5,6,7,8,9,10,12}

c. B n C = { 10.12 }

Step-by-step explanation:

a. A U B — you put all the numbers in set A and B together without repeating anything.

A U B = { 1,3,5,6,7,9,10,12}

b. A U C — you put all the numbers in set A and C without repeating anything.

A U C = { 1,2,3,4,5,6,7,8,9,10,12}

c. B n C — you find a common number in sets B and C.

B n C = { 10,12}

The numbers 10 and 12 are the only common thing in sets B

and C.

Answer:

The answer is 2x+16=12(1/6x +1/192 )

Step-by-step explanation:

Answer:

x = 8

Step-by-step explanation:

5x-6 = 34

Add 6 to each side

5x-6+6 = 34+6

5x = 40

Divide by 5

5x/5 = 40/5

x = 8

5x - 6 = 34. You have to do inverse operation. Since its -6, you have to do + 6 on both sides. so now, -6 gets canceled. and 34 + 6 is 40. All ur left with now is 5x = 40, 40 divided by 5 = 8

Answer:

3          12

------ = ---------

1           4

Step-by-step explanation:

We need to keep the relationship in the same order

3 ft         12 ft

------ = ---------

1 yd           4 yds

3          12

------ = ---------

1           4

Answer:

the answer is B

Step-by-step explanation:

Phone calls to texts is 3 to 5, so for every 3 phone calls she makes 5 texts:

Divide total phone calls by 3:

27/3 = 9

Multiply that by text ratio:

9 x 5 = 45

She sent 45 texts.

Answer:

n=17/6 ans...............