All the children of a class were asked to choose between the cartoon shows 'Shin Chan' and 'Tom and Jerry'.The ratio of children who selected the cartoon 'Shin Chan' to those who selected the cartoon 'Tom and Jerry', was 3:1.
If 45 kids selected 'Shin Chan', how many students are there in the class totally?

Answer:

Dimensions of section B = 36 inches, 48 inches

Area of the piece of sheet metal after both sections are cut and removed  = 6336 square inches

Step-by-step explanation:

Given: Width and length of a rectangular piece of sheet metal are 60 inches and 44 inches.

To find: dimensions of section B, the area of the piece of sheet metal after both sections are cut and removed

Solution:

Length of rectangle B = TR = SR - ST = PQ - ST (As SR = PQ being opposite sides of rectangle)

Length of rectangle B = PQ - ST = 60  - 24 = 36 inches

Breadth of rectangle B = UR = QR - QV - VT - TU

Here, QR = PS = 144 inches (opposite sides of rectangle PQRS are equal )

QV = 36 inches

VT = WX = 24 inches ( opposite sides of rectangle WVTX are equal)

TU = 36 inches

So,

Breadth of rectangle B = 144 - 36 - 24 - 36 = 48 inches

Area of rectangle B = length × breadth = 36 × 48 = 1728 square inches

Area of rectangle WVTX = length × breadth = 24 × 24 = 576 square inches

Area of rectangle PQRS = PQ × PS = 60 × 144 = 8640 square inches

Area of the piece of sheet metal after both sections are cut and removed =8640 - ( 1728 + 576 ) = 8640 - 2304 = 6336 square inches

Answer:

c. 7776

Step-by-step explanation:

1, 6, 36, 216, 1296, 7776

Therefore, c. 7776

I hope this helped and have a good rest of your day!

Answer:

£11.85

Step-by-step explanation:

In the question, we are told that:

In 2016 she earned a monthly salary of £2,100

In 2017 she had a 3% raise

This means 3% of £2,100

3/100×£2,100 = £63

This means her salary for 2017 =

£63 + £2,100 =£2,163

Step 2

We are told in the question that she worked 42 hours per week for 45 weeks in 2017

Since her monthly pay for 2017 = £2,163

She worked 42 hours per week

There are 7 days in one week

The number of hours she worked per day = 42 hours ÷ 7 = 6 hours per day

4.345 weeks= 1 month

The number of hours she worked per month = 42 hours × 4.345 weeks

= 182.49 hours.

We can say that for 182.49 hours she was paid = £2,163

Her average pay per hour is calculated as:

If 182.49 hours = £2,163

1 hour = represented by Y

Cross multiply

182.49Y = £2,163

Y = £2,163 ÷ 182.49

Y = £11.852704258

Approximately = £11.85

Therefore, Elise Average pay per hour for the year = £11.85

Answer:

poopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopopoop  

Step-by-step explanation:

Answer:

268+v2)3+p=8     =p=−3v2−796

Step-by-step explanation:

Let's solve for p.

(268+v2)(3)+p=8

Step 1: Add -804 to both sides.

3v2+p+804+−804=8+−804

3v2+p=−796

Step 2: Add -3v^2 to both sides.

3v2+p+−3v2=−796+−3v2

p=−3v2−796

Hope this helps.

Answer:

zero

Step-by-step explanation:

for example,

2 x 0 = 0

124 x 0 = 0

its some number zero times so when you multiply by zero, its zero

Answer:

With the information provided in picture, you can use the property of tangent line of circle to prove that two right triangle ACO and ABO are congruent (AO shared, ACO = ABO = 90 deg, OC = OB = radius of circle O).

Then AB = AC = 4

=> Hope this helps!

:)

Answer: She sold 5 shirts

Step-by-step explanation: 100 + 12x6 + 5t + 7x4 + 5x5 - 8x5

you get 100 + 72 + 28 + 25 - 45 + 5t

You add all that and subtract but not the 5t and you get 180 then you can do 205-180 and get 25 then you you find what times 5 equals 25 and then you get 5 t shirts sold

Answer:

244 degrees

Step-by-step explanation:

Since one angle APE is 90 degrees, that means line segments AD and BE are perpendicular bisectors.

Since both segments go through the center, that means all the angles are central angles.

Since angle APE is 90 degrees, that also means that angle EPD is 90 degrees.

33k -9 = 90

33k = 99

k = 3

Since we know k we can substitute it to find angle CPD.

20 k + 4 = 20*3 + 4= 60+4= 64 degrees.

Central angles equal angles of arcs, so we can and angles APE, EPD, and DPC to find the measure of major arc CAD.

64+ 90 +90 = 244 degrees

Answer:

Maureen earned $123.19 doing odd jobs

Step-by-step explanation:

The compound interest formula is given by:

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

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Compounded quarterly means that [tex]n = 4[/tex]

10 years, so [tex]t = 10[/tex]

9% interest, so [tex]r = 0.09[/tex]

There is $300.00 in the account, which means that [tex]A = 300[/tex]

How much did Maureen earn doing odd jobs?

This is P.

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

[tex]300 = P(1 + \frac{0.09}{4})^{4*10}[/tex]

[tex](1.0225)^{40}P = 300[/tex]

[tex]P = \frac{300}{(1.0225)^{40}}[/tex]

[tex]P = 123.19[/tex]

Maureen earned $123.19 doing odd jobs

Answer:

320$

Step-by-step explanation:

Answer:

Step-by-step explanation:

80 divided by 4 should be 20? sorry if i am wrong

Answer:

28

Step-by-step explanation:

sry if I'm wrong although I used calculator

Answer:

-3

Step-by-step explanation:

[tex]f(x) = 2x - 9[/tex]

[tex]f(3) = 2(3) - 9\\f(3) = 6 - 9\\f(3) = -3[/tex]

Answer:

318 mm2

Step-by-step explanation:

Please see the step-by-step solution in the picture attached below.

Hope this answer can help you. Have a nice day!

Answer:

[tex]318mm^{2}[/tex]

You can break the shape into pieces you can work with, and then add up the areas individually.

Answer:

x = 180 -117

x = 63°

y = 90 - 63

y = 27°

Step-by-step explanation:

Answer:

Line N is a vertical line with an undefined slope

Step-by-step explanation:

To find slope we do (y2-y1)/(x2-x1)

So we do that with (-1,4) and (-1,-4)

(-4-4)/(-1-(-1))

-8/0

Since the denominator is 0, that means the slope is undefined because you cannot divide by 0

Answer:

x = 24

Step-by-step explanation:

Since all the angles share a common vertex 'U' lying on a straight line QT.

Therefore, sum of all angles formed at U will be equal to 180°.

m∠RUQ + m∠RUS + m∠SUT = 180°

(2x - 4) + (3x + 5) + (2x + 11) = 180°

(2x + 3x + 2x) + (5 - 4 + 11) = 180

7x + 12 = 180

7x = 180 - 12

x = [tex]\frac{168}{7}[/tex]

x = 24

Therefore, value of x = 24

Answer:

5.88 pints

Step-by-step explanation:

Well the amount of white paint is 3 / 5 of 9.8

0.6 * 9.8 = 5.88

Answer: 14.7 pints of white paint

IF two different colors were used.

IF she mixed paint to get a light blue, 3/5 of the total would be about 5.9 pints.

Step-by-step explanation:

If 9.8 is 2/5 of the total amount used, set up the equation as 9.8= 2x/5

You get the total amount of paint used is 24.5 pints. Subtract the 9.8 of blue to find the amount of white. That's 14.7 pints.

In practical, real life, a quart of paint covers about 100 square feet. That's an average 8 ft high by 12 ft wide wall.

So that is why I edited this answer. 24 pints is 3 gallons-- that is enough for 3 bedrooms.

And I wish that Math teachers used more common measurements of paint!

Answer:

A

Step-by-step explanation:

Answer:

C = .9423

Step-by-step explanation:

i took the test and got it right.

Answer:

I think is -x + 105/42y

Step-by-step explanation:

2(3/10)x - 5/7y - 4(5/6)y - 2(4/5)x

6/10x - 5/7y - 20/6y - 8/5x

6/10x - 8/5x - 5/7y - 20/6y

6-16/10x - 35+140/42y

-10/10x + 105/42y

-x + 105/42y

1/6 and you got the comment why

Answer:

1/6

Step-by-step explanation:

Out of these four card choices, for the first pick there are two even cards and four cards in total. This means that on the first pick there is a 2/4=1/2 chance that you pick an even card. On the second pick, if you do not replace the card, then there is 1 even card remaining, and 3 cards in total, leaving a probability of 1/3. Multiplying these two probabilities together, you get an overall chance of 1/6. Hope this helps!

Answer:

$210.8 monthly.

Step-by-step explanation:

There are two ways to do this. You can either find out what 11% of $23,000 is by multiplying .11 by $23,000, then subtract this from $23,000 to find the yearly increase, where you can then divide by 12, or you can divide .11 by 12 and then multiply this by $23,000. I did the former and got $210.8 as an answer.

Answer:

See Explanation

Step-by-step explanation:

Let our quadratic polynomial function [tex]f(x)=x^2-7x+6[/tex]

Let our linear binomial in the form (x − a)=x-1

Part 1: We use long division to divide the polynomial by the binomial.

[tex]\left|\begin{array}{c|c}&x-6\\-----&-----\\x-1&x^2-7x+6\\Subtract&-(x^2-x)\\&------\\&-6x+6\\Subtract&-6x+6\\&------\\&0\end{array}\right|[/tex]

Therefore:[tex]\dfrac{x^2-7x+6}{x-1}=x-6[/tex]

Part 2: In our chosen linear monomial x-1, a=1

[tex]f(a)=f(1)\\f(1)=1^2-7(1)+6=1-7+6=0\\f(a)=0[/tex]

Part 3:

To determine whether a linear binomial is a factor of a polynomial function using the remainder theorem

Answer:

Denote O as center of circle, draw OA, OC.

As property of tangent line from outside of circle (angle OAD = angle OCD = 90 deg):

=> AOC + D = 180

Moreover, angle  AOC = 2 x angle B = 2 x 65 = 130

=> D = 180 - 130 = 50 deg

Hope this helps!

:)

The measure of the angle d for m angle b = 65 in the figure of circle and quadrilateral is 50 degrees. Option A is correct.

The measure of angle between the two points of a ray or line is the measure of rotation between these two points. The angles are measured in degrees or radians.  

The figure given in the problem contained a circle and a quadrilateral.

In this figure, the measure of the angle b is,

[tex]m\angle d =65^o[/tex]

Here, the two tangent lines AD and DC cuts the circle at point A and C respectively.

Let the center of the circle is O. Thus the angle b is equal to the angle AOC by the tangent line theorem as,

[tex]\angle O =2m\angle b=130 ^o[/tex]

The sum of angle AOC and the angle D is equal to 180 degrees. Therefore,

[tex]\angle AOC+m\angle d=180\\130++m\angle d=180\\m\angle d=180-130\\m\angle d=50^o[/tex]

Hence, the measure of the angle d for m angle b = 65 in the figure of circle and quadrilateral is 50 degrees. Option A is correct.

Learn more about the measure of angle here;

https://brainly.com/question/25716982

Answer:

x = 4 ±√26

Step-by-step explanation:

Please write this as x^2 - 8x = 10, or x^2 - 8x - 10 = 0.  " ^ " indicates exponentiation.

Let's complete the square:

x^2 - 8 x can be rewritten as

x^2 - 8x + 16 - 16, and so

x^2 - 8x = 10 becomes x^2 - 8x + 16 - 16 - 10 = 0, or

                                         (x - 4)^2 = 26

Taking the square root of both sides, we get:

x - 4 = ±√26, or

x = 4 ±√26

Answer:

80

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

To find the median, you must order all of the numbers from least to greatest.            Least to greatest: 13, 27, 33, 41, 60, 74, 80, 80, 80, 88, 91       Then, you must find the middle number in that set.

13, 27, 33, 41, 60, 74, 80, 80, 80, 88, 91

So, in conclusion, the median is 74.

Answer:Bottle B

Step-by-step explanation:

Given

Bottle A has 175 fluid ounce and cost [tex]\$19.25[/tex]

So it cost [tex]\frac{175}{19.25}=9.09\ \text{ounce per}\ \$[/tex]

Bottle B has 138 fluid ounce and cost [tex]\$8.97[/tex]

So it cost [tex]\frac{138}{8.97}=15.38\ \text{ounce per}\ \$[/tex]

Bottle C has 100 fluid ounce and cost [tex]\$8.0[/tex]

So it cost [tex]\frac{100}{8}=12.5\ \text{ounce per}\ \$[/tex]

Bottle D has 72 fluid ounce and cost [tex]\$7.56[/tex]

So it cost [tex]\frac{72}{7.56}=9.52\ \text{ounce per}\ \$[/tex]

So, Bottle B delivers more ounces at same price

Answer:

Option B (-3,-8)

Step-by-step explanation:

Use a graphing tool to graph the lines [tex]-4x+3y=-12[/tex] and [tex]-2x+3y=-18[/tex].

When graphed, the lines pass at the point (-3, -8).

Graph B matches this, so Option B is the answer.

Answer:

Diagram B

Step-by-step explanation: