Please help me on this question!

Solution :

Given a soda can has a diameter of 6 cm.

As we know,  the circumference of circle with radius r is , [tex]C=2\pi r[/tex].

And diameter of  the circle [tex]D = 2r[/tex]

So, the circumference of the circle with diameter D is ,  [tex]C=\pi D[/tex]

Put D= 6

[tex]\Rightarrow C=6 \pi\\\\Using\: \pi=3.14\\\Rightarrow C=6\times3.14\\\\\Rightarrow C=18.84[/tex]

Hence, the circumference of the can is 18.84 cm. (option C)

First take note that Mr. Day gave them $24 to share and Mrs. Day gave each of them $2. There were also four girls in total.

So we'll divide 24 by 4 resulting each girl getting $6 each from Mr. Day.

Now we'll add the $2 Mrs. Day gave them resulting in the answer.

Each girl made $8 from Mr. and Mrs. Day

Each girl made eight dollars

Here we have a problem with tax rates and percentages, we will find that the total price will be $48.66.

So we know that the price of the skirt is $45.99, this is our 100%.

So, when we know that a tax of 5.8% is applied, is over that 100%, meaning that the total price will be 105.8% of the original price.

Then we can write the equations.

105.8% = x

100% = $45.99

Taking the quotient of these two equations and solving for x we get:

(105.8%/100%)*$45.99 = x = $48.66

So the total price of the skirt is $48.66.

If you want to learn more about percentages, you can read:

https://brainly.com/question/14345924

y=3x-7 that's the answer

The equation of a line that is parallel to y=3x−2 and passes through the point (5,8) is y = 3x - 7, since parallel lines share the same slope and the y-intercept was calculated using the given point.

To write the equation of a line that is parallel to a given line and passing through a certain point, you need to know that parallel lines have the same slope. The line y=3x−2 has a slope of 3. So the line parallel to it will also have a slope of 3.

The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept. Since we already have the slope, we only need to find the y-intercept, b. We do this by plugging the given point coordinates (5, 8) into the equation and solving for b:

8 = 3*5 + b, which gives b = 8 - 15 = -7.

Therefore, the equation of the line parallel to y=3x−2 and passing through the point (5,8) is y = 3x - 7.

https://brainly.com/question/402319

#SPJ3

Answer:

1. QS bisects ∠ PQR of Δ PQR.⇒[Given]

2. ∠PQS = 90° [Given]

3.∠PQS =∠RQS ⇒[QS bisects ∠ PQR]

4. .∠PQS +∠RQS =90°  [∴∠PQS = 90°⇒given]

    2∠PQS =90°⇒  [∠PQS =∠RQS ]

   ∠PQS=45°

So,∠PQS =∠RQS =45°

2.∠ 2= ∠ 4 [Given]

⇒∠ 2≅ ∠ 4[ congruency postulate]

∠2  and ∠ 3 are supplementary.⇒°[given]

⇒∠2 + ∠ 3=180° [ By the definition of supplementary].........(1)

∠1 and ∠4 are supplementary.⇒[∠1 and ∠4 form linear pair.]

⇒∠1 +∠4=180°[By the definition of supplementary]..............(2)

⇒∠2 + ∠ 3 =∠1 +∠4 [both of them are equal to 180, so they are equal to each other.⇒ Two things equal to same thing are equal to each other[Euclid postulate]]

⇒∠4 +∠3=∠1+∠4 [∠2=∠4⇒(given)]

⇒∠3=∠1   [law of cancellation]

⇒∠3≅∠1  [ Congruency property]

For this case we have:

Part A:

Point 1: [tex](x1, y1) = (6,10)\\[/tex]

Point 2:[tex](x2, y2) = (4, -2)\\[/tex]

We know that the slope m is given by:

[tex]m = \frac{(y2-y1)}{(x2-x1)}\\\\m = \frac{(- 2-10)}{(4-6)}\\\\m = \frac{(- 12)}{(- 2)}\\[/tex]

[tex]m = 6\\[/tex]

The slope is [tex]m = 6\\[/tex]

Part b:

The equation of the line in point-slope form is given by:

[tex](y-y1) = m (x-x1)\\[/tex]

Substituting the point 1 [tex](x1, y1) = (6,10)[/tex]we have:

[tex](y-10) = 6 (x-6)\\[/tex]

Thus, the point-slope equation is: [tex](y-10) = 6 (x-6)\\[/tex]

Part c:

The equation of the line in slope-intersection form is given by:

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

Rewriting the equation of part b we have:

[tex]y = 6 (x-6) +10\\\\y = 6x-36 + 10\\\\y = 6x-26\\[/tex]

Thus, the equation of the line in slope-intersection form is

[tex]y = 6x-26\\[/tex]

Answer:

[tex]m = 6\\\\(y-10) = 6 (x-6)\\\\y = 6x-26[/tex]

Given points (5,102) (4,74) and (-2,-10)

We frame 3 equations using the given points

[tex]y=ax^2+bx+c[/tex]

Plug in (5,102)

[tex]102=a(5)^2+b(5)+c[/tex]

102 = 25a +5b + c -------> first equation

Plug in (4,74)

[tex]74=a(4)^2+b(4)+c[/tex]

74 = 16a +4b + c----> second equation

Plug in  (-2,-10)

[tex]-10=a(-2)^2+b(-2)+c[/tex]

-10 = 4a -2b + c -----> third equation

Now we use the three equation and solve for a,b,c

Use first and second equation and subtract it

102 = 25a +5b + c

-74 = -16a -4b - c

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

28 = 9a + b  --------------> fourth equation

Subtract third equation from first equation

102 = 25a +5b + c

10  = -4a +2b - c

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

112 = 21a + 7b --------------> fifth equation

Use fourth and fifth equation

28 = 9a + b

112 = 21a + 7b

Multiply the fourth equation by -7

-196= -63a -7b

112 = 21a + 7b

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

-84 = -42a

Divide by -42 on both sides

a= 2

Plug in the value of a=2 in fourth equation

28 = 9a + b

28 = 9(2) + b

28 = 18 + b ( subtract 18 from both sides)

b = 10

Plug in the values in third equation and find out c

-10 = 4a -2b + c

-10= 4(2) -2(10)+c

-10 = -12 + c

c= 2

We got a=2, b=10  and c=2

So equation becomes [tex]y=2x^2+10x+2[/tex]

Answer,

77/72 or 1 5/72

Hope this helps :-)

4/9

+

5/8

=

(4 × 8) + (5 × 9)/9 × 8

=

77/72

OR 1   5/72

be smart be funny be kind smell good watch tv do homework

(7(5)+4)/(1/2)=39/.5=78

Multiply.

Exact Form: [tex]\frac{12}{7}[/tex]

Decimal Form: 1.714285...(the decimal digits repeat)

Mixed Number Form: 1[tex]\frac{5}{7}[/tex]

Multiplying numerators and denominators to get the LCD in all fraction denominators

= 38−21×24×2

Then rewriting the equation with the equivalent fractions

= 38−428

With like denominators we can operate on just the numerators

= 3−4 2/8

=−39/ 8

Simplifying the answer

= − 39/8

= − 39/8

= − 4 7/8

Answer:

There are 5000 cattle

Step-by-step explanation:

Based on your given information there should be 5000 cattleN=100×50

The simplified expression is 22m + 42, and the number of cattle on the Lazy Circle Double Bar for Square Ranch depends on the value of m that represents the relevant metric for cattle population.

To simplify the expression 7(2m + 6) + 8m, we first distribute the 7 across the terms inside the parentheses:

7(2m + 6) = 7 * 2m + 7 * 6 = 14m + 42

Then, we combine like terms by adding the 14m and 8m:

14m + 8m = 22m

Now, we substitute this result back into the original expression:

7(2m + 6) + 8m = 14m + 42 + 8m = 22m + 42

So, the simplified expression is 22m + 42.

To find the number of cattle on the Lazy Circle Double Bar for Square Ranch, we need to know the value of m, which represents the number of cattle per unit area or another relevant metric. Once we know the value of m, we can substitute it into the simplified expression 22m + 42 to find the total number of cattle.

For instance, if m = 100, then the expression becomes 22(100) + 42 = 2200 + 42 = 2242 cattle on the ranch.

In summary, the simplified expression is 22m + 42, and the number of cattle on the Lazy Circle Double Bar for Square Ranch depends on the value of m that represents the relevant metric for cattle population.

The question probable may be:

How many cattle are there on the lazy circle double bar for square ranch. Simplify  expression below and find your answer in the corresponding answer column.

7(2m +6) + 8m

a+b = 65

b - 2a = 5

Solve one variable in terms of another:

b = 5 + 2a

Substitute in this variable:

a + 5 + 2a = 65

3a = 70

a = 23.3

Use this to find the other variable:

23.3 + b = 65

b = 41.7

Check the answer:

23.3 + 41.7 = 65

65 = 65

ANSWERS:

a = 23.3

b = 41.7

Answer:

6

Step-by-step explanation:

The area of a polygon created with a scale factor of xxx is x^2x  

2

x, start superscript, 2, end superscript times larger than the original polygon:

\text{scale factor}^2=\text{how many times larger area of scale copy is}scale factor  

2

=how many times larger area of scale copy iss, c, a, l, e, space, f, a, c, t, o, r, start superscript, 2, end superscript, equals, h, o, w, space, m, a, n, y, space, t, i, m, e, s, space, l, a, r, g, e, r, space, a, r, e, a, space, o, f, space, s, c, a, l, e, space, c, o, p, y, space, i, s

The area of Rectangle RRR is 363636 times greater than the area of Rectangle QQQ. Let's substitute 363636 into the equation to find the scale factor.

?^2=36?  

2

=36question mark, start superscript, 2, end superscript, equals, 36

The scale factor is 666.

Hint #33 / 3

Thea used a scale factor of 666 to go from Rectangle QQQ to Rectangle RRR.

Answer:

6

Step-by-step explanation:

The area of a polygon created with a scale factor of xxx is x^2x  

2

x, start superscript, 2, end superscript times larger than the original polygon:

\text{scale factor}^2=\text{how many times larger area of scale copy is}scale factor  

2

The area of Rectangle RRR is 363636 times greater than the area of Rectangle QQQ. Let's substitute 363636 into the equation to find the scale factor.

?^2=36?  

2

=36question mark, start superscript, 2, end superscript, equals, 36

The scale factor is 666.

Hint #33 / 3

Thea used a scale factor of 6 to go from Rectangle Q to Rectangle R.

The area cannot be calculated without knowing the shape of the object these measurements belong to or how these measurements are arranged. Different shapes require different calculations for area.

The question is asking for the area of an object given certain dimensions, but without knowing what type of object these measurements belong to or how these measurements are arranged, it's impossible to accurately calculate an area. Area calculation differs based on the shape of the object. For instance, the area of a square or rectangle is calculated by multiplying its length by its width, the area of a circle is calculated using pi times the radius squared, and the area of a triangle is calculated by multiplying the base by the height and then dividing by two. Each of these calculations uses different dimensions in different ways. We would need more information to solve this problem.

https://brainly.com/question/34380164

#SPJ3

The area of the object will be 63 square inches. Then the correct option is C.

It addresses the various forms' sizes, shapes, regions, and densities in both two and three dimensions.

In the event that w = 7 inches, x = 6 inches, y = 8 inches, z = 5 inches, and u = 3 inches, v = 4 inches.

The figure displays all of the dimensions.

The combination of two rectangles and one triangle then makes up the geometry's area.

Area is equal to the sum of the areas of the three triangles, the rectangles 1 and 2.

Area = 5 x 8 + 4 x 5 + (1/2) x 3 x 2

Area is 40 + 20 + 3.

Area = 63 square inches

Then, choice C is the right one.

Complete question:

If u = 3 inches, v = 4 inches, w = 7 inches, x = 6 inches, y = 8 inches, and z = 5 inches, what is the area of the object?

A.60 square inches

B.66 square inches

C.63 square inches

D.56 square inches

6(3x - 5) = 4(4x + 2)    Given

(6)(3x) + (6)(-5) = (4)(4x) + (4)(2)    Distributive property

18x - 30 = 16x + 8

18x - 16x - 30 = 16x - 16x + 8     Subtraction property of equality

2x - 30 = 8

2x - 30 + 30 = 8 + 30     Addition property of equality

2x = 38

2x : 2 = 38 : 2     Division property of equality

x = 19

A slope is also known as the gradient of a line. The slope of the line is positive and is equal to 0.2.

A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.

Since the line is passing through the origin and (5,1). The slope of the line is,

m = (1-0)/(5-0) = 1/5 = 0.2

Hence, the slope of the line is positive and is equal to 0.2.

Learn more about Slope of Line:

https://brainly.com/question/14511992

#SPJ2

Given : Invested amount = $5000.

Rate of interet = r% compunded monthly.

Number of years = 4 years.

Total interest received = $1866.

Therefore, total amount after 4 years = 5000+1866 = $6866.

We know, formula for compound interest :

[tex]A=P(1+\frac{r}{n})^{t\times n}[/tex], where P is the invested amount, n is the number of monthly installments in an year.

Number of months in an year are 12.

Plugging n=12, P=5000, t=4 in the formula now, we get

[tex]6866=5000{(1+\frac{r}{12})^{12\times 4}[/tex]

[tex]6866=5000{(1+\frac{r}{12})^{48}[/tex]

Dividing both sides by 5000, we get

[tex]\frac{6866}{5000} =\frac{5000}{5000} {(1+\frac{r}{12})^{48}[/tex]

[tex]\frac{6866}{5000} = {(1+\frac{r}{12})^{48}[/tex]

[tex]1.3732= {(1+\frac{r}{12})^{48}[/tex]

Taking 48th root on both sides, we get

[tex]\sqrt[48]{1.3732} = \sqrt[48]{(1+\frac{r}{12})^{48}}[/tex]

[tex]\sqrt[48]{1.3732}=\left(1+\frac{r}{12}\right)[/tex]

[tex]1.00662903758=1+\frac{r}{12}[/tex]

Subtracting 1 from both sides, we get

0.00662903758 = [tex]\frac{r}{12}[/tex]

Multiplying by 12 on both sides, we get

r=0.07954845101

r≈0.0795

Or 7.95%.

Now, we need to find the interest after four years if the rate of interest is 3.6% compounded quarterly.

There are 4 quarters in an year.

So, n=4 and r=3.6%= 0.036.

Plugging values in compound interest formula now, we get

[tex]A=5000{(1+\frac{0.036}{4})^{4\times 4}[/tex]

[tex]\mathrm{Divide\:the\:numbers:}\:\frac{0.036}{4}=0.009[/tex]

[tex]A=5000\times \:1.009^{16}[/tex]

[tex]A=5000\times \:1.15414\dots[/tex]

[tex]=5770.70222\dots[/tex]

A≈5770.70

Subtracting 5770.70 -5000.00 = 770.70.

(A)

We are given

Mr tan invested 5000 Swiss francs(CHf) bank

so,

[tex]P=5000[/tex]

nominal annual interest rate of r% compounded monthly

so, n=12

t=4

total interest he received was 1866 CHF

I=1866

we can use formula

[tex]I=P(1+\frac{r}{n} )^{nt}-P[/tex]

now, we can plug values

[tex]1866=5000(1+\frac{r}{12} )^{12*4}-5000[/tex]

now, we can solve for r

[tex]r=0.0795[/tex]

so, interest rate is 7.95%..........Answer

(B)

we are given

P=5000

r=0.036

n=4

t=4

so, we can use interest formula

[tex]I=P(1+\frac{r}{n} )^{nt}-P[/tex]

now, we can plug values

[tex]I=5000(1+\frac{0.036}{4} )^{4*4}-5000[/tex]

now, we can simplify it

and we get

[tex]I=770.702[/tex]

The total interest is 771 CHF...........Answer

Answer:

D.) Neither A or B

Step-by-step explanation:

A.) Substituting X=2 and y=4 results to 9=10 which is a false statement

B.) Substituting X=3 and y=6 results to 16=18 Which is a false statement

C.) Look at A and B they lead to a false statement so It can't be both

The answer of the ordered pair is a solution of the equation 7x−5=4y−6 would be option D. neither A or B.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given equation;

7x - 5 = 4y -6 ...…...... (1)

Substitute x = 2 and y = 4 in equation (1)

7(2) -5 = 4(4) -6

9 ≠ 10

a) (2,4) is not satisfied

Now, Substitute x = 3 and y= 6 in equation (1)

7(3) -5 = 4(6) -6

 16 ≠ 18

b) Thus, (3,6) is not satisfied

c)  both A and B is also not satisfied

Hence, the answer would be option D. neither A or B.

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ2

can you give more detail

i think that it is 1/6

Answer:

But why is it 1/6? Why don't you divide?

Step-by-step explanation:

Jonathan is 5 years older than his brother Chase.

Chase's Age = c

Jonathan's Age = c+5

Three times Jonathan's age would be 3(c+5).

The sum of Chase's age, c, and three times Jonathan's age, 3(c+5), is 55.

c+3(c+5)=55

The answer is B.

700 more men then women

4 of every man theres at least 1 women  which comes out as 4:1