Seventy percent of the class is present. There are 14 kids present. How big is the whole class?

Answer:

5.76

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \: c = \pi d[/tex]

[tex]\qquad \sf  \dashrightarrow \: c = 3.14 \times 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: c = 31.4 \: cm[/tex]

Answer:

31.4cm

Step-by-step explanation:

d = 2*r

r = 5

d = 10

circumference = d(3.14) = 10*3.14 = 31.4 cm

Hope this helps!!!

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Answer:

1 kg of mushrooms costs £2.7.

Step-by-step explanation:

Step 1: Write equations.

Let a be the cost of apples per kg and m the cost of mushrooms per kg.

First equation: Ibrar buys 3 kg of apples. He also buys 0.4 kg of mushrooms. The total cost is £6.93.

[tex]3a + 0.4m = 6.93[/tex]

Second equation: 1 kg of apples cost £1.95.

[tex]a = 1.95[/tex]

Step 2: Solve the system of equations.

1) [tex]3a + 0.4m = 6.93[/tex]

2) [tex]a = 1.95[/tex]

Substitute a in the first equation with a from second.

[tex]3a + 0.4m = 6.93\\3(1.95) + 0.4m = 6.93[/tex]

Solve for m.

[tex]5.85 + 0.4m = 6.93\\0.4m = 6.93 - 5.85 \\0.4m = 1.08\\m = \frac{1.08}{0.4}\\m = \text{\£}2.7[/tex]

The cost of 1 kg of mushrooms is £2.7.

Two or more expressions with an Equal sign is called as Equation.

Given that Ibrar buys 3kg of apples

Ibrar buys 0.4kg of mushrooms.

The total cost is £6.93

3x+0.4y=6.93...(*)

1kg of apples cost is £1.95

x=1.95

Substitute the value of x in *

3(1.95)+0.4y=6.93

5.85+0.4y=6.93

Subtract 5.85 on both sides

0.4y=6.93-5.85

0.4y=1.08

Divide both sides by 0.4

y=2.7

Hence, the cost of 1 kg of mushrooms is £2.7.

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Answer: x = 0

Step-by-step explanation: x+5=−5x+5

Add 5x to both sides.

x+5+5x=5

Combine x and 5x to get 6x.

6x+5=5

Subtract 5 from both sides.

6x=5−5

Subtract 5 from 5 to get 0.

6x=0

Product of two numbers is equal to 0 if at least one of them is 0. Since 6 is not equal to 0, x must be equal to 0.

x=0

Answer:

Solution

Correct option is E)

To find the solution we split the inequality ∣2x+7∣>11 in two inequality ∣2x+7∣>11 and ∣2x+7∣<−11

⇒2x+7>11

⇒2x>11−7

⇒2x>4

⇒x>2

⇒2x+7<−11

⇒2x<−11−7

⇒2x<−18

⇒x<−9

∴x<−9 or x>2

Step-by-step explanation:

What do you think?

And don't forget to follow tu

The average speed of Keane’s journey in mph is 56.25 mph (miles per hour)

From the question, we are to determine Keane's average speed

Average speed is given by the formula,

Average speed = Distance / Time

Distance travelled = 180 miles

Now, we will calculate the time spent

From the given information,

He leaves his home at 09:30 and arrives in Liverpool at 12:42

09:30 to 12:42 is 3 hours 12 minutes

∴ Time = 3 hours 12 minutes = 3 + (12/60) hours = 3.2 hours

Thus,

Average speed = 180 / 3.2

Average speed =  56.25 mph (miles per hour)

Hence, the average speed of Keane’s journey in mph is 56.25 mph (miles per hour)

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Answer:

The answer to the question is 20.55.

Answer:

20.55

Step-by-step explanation:

1 Simplify 68.5/100 to  0.685.

0.685×30

2 Simplify.

20.55

Answer:

B po I'm sure that's is answer thank you

Answer:

b

Step-by-step explanation:

...

Answer:

the 4th option because 24 months times the amount plus the 39.99 to set up would get you a final answer

Answer:

39.99/24c = 351.75

24c + 39.99 = 351.75

Where c is the cost to set up an account

Step-by-step explanation:

Knowing that it given:

What is the cost(c) month for using the service for 24 months?

That means "Cost = c"

That leads us to the answer:

"Where c is the cost to set up an account"

We also know that we are finding for the 24 months thus 24c.

That leads us to

24c + 39.99 = 351.75 and 39.99/24c = 351.75

Hence, the answers are:

39.99/24c = 351.75

24c + 39.99 = 351.75

Where c is the cost to set up an account

Kavinsky

Answer:

Multiply to remove the fraction, then set equal to 0 and solve.

Exact Form: y = − 1/10

Decimal Form: y = − 0.1

Step-by-step explanation:

Answer:

y = -1/10 or -0.1

Step-by-step explanation:

Multiply both sides of the equation by 100.

To find the opposite of 5y−17, find the opposite of each term.

The opposite of −17 is 17.

Combine 155y and −5y to get 150y.

Subtract 17 from both sides.

Subtract 17 from 2 to get −15.

Divide both sides by 150.

​Reduce the fraction  

​ to lowest terms by extracting and canceling out 15.

Cartographers use trigonometry for topographic mapping, while navigators use it to direct navigation, helping to identify location and distance.

Surveyors, on the other hand, use trigonometry to measure spatial data, such as height and angles of the land and urban and rural georeferencing.

Trigonometry studies the relationships between the sides and angles of a triangle. This calculation instrument is used for studies in various fields of scientific knowledge, such as the study of phenomena in mechanics, engineering and medicine.

Therefore, there are several applications for trigonometry in social daily life, being an instrument that helps in obtaining scientific knowledge and development of society.

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Answer:

This was my answer, I did a lot of research for it

Step-by-step explanation:

According to wonderworksonline.com, "cartographers use the laws of plane trigonometry". This is used for topographical mapping which is a map that includes detailed, accurate landmarks.

Navigators use trigonometry to find directions. According to byjus.com, "with the help of a compass and trigonometric functions in navigation, it will be easy to pinpoint a location and also to find distance as well to see the horizon."

Trigonometry is used in land surveying to measure to height and angles of the land. According to prezi.com, "it can be used to measure the elevation from a certain point to a mountain, the distance between two trees, and distances across lakes."

Another profession that uses trigonometry is astronomy. Trigonometry is used to measure the distance between stars and planets. According to mytutor.co.uk, "this mathematical technique is also used by NASA scientists today when they design and launch space shuttles and rockets."

Trigonometry plays an important part in our everday lives. Without trigonometry, we wouldn't have GPS to navigate us. Trigonometry is also used by flight engineers to decide take off paths. Trigonometry is also used in the medical field for ultrasounds, the process of building prosthetic legs and arms, and surgeries.

Using proportions, it is found that the family will drive 482.8 km on the new route.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the family travels a distance of 125% of 240 miles, hence the distance is:

D = 1.25 x 240 = 300 miles.

Since there are are approximately 48.28 kilometers in 30 miles, and 300/30 = 10, the distance in kilometers is given by:

D = 48.28 x 10 = 482.8 km.

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[tex]~~~~~~\text{Circumference}~ = 2 \pi r\\\\\\\implies r = \dfrac{\text{Circumference }}{2\pi}\\\\\\\implies r = \dfrac{3}{2\pi} \\\\\\\text{Now,}\\\\\text{Area} = \pi r^2 \\\\~~~~~~~~=\pi \left( \dfrac{3}{2\pi} \right)^2\\\\\\~~~~~~~~=\pi \cdot \dfrac{9}{4\pi^2}\\\\\\~~~~~~~~=\dfrac{9}{4\pi}\\\\\\~~~~~~~~\approx0.72[/tex]

Answer:

see below

Step-by-step explanation:

y = − x − 4

is in the slope-intercept form for a linear equation,  

y = m x + b , where  m  is the slope and  b  is the y-intercept. In the given equation,  

m = − 1  and  b = − 4 .

Ordered Pairs

Thus, [tex]x=10[/tex], [tex]x=4[/tex], and [tex]x=8[/tex]

Answer:

6

Step-by-step explanation:

You would divide the total number of hours by the number of hours to come to the final answer of 6

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The quotient of the expression [tex](\frac{n+3}{2n-6})/ (\frac{n+3}{3n-9} )[/tex] is given as 3/2

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the expression:

[tex](\frac{n+3}{2n-6})/ (\frac{n+3}{3n-9} )\\\\Simplifying\ the\ expression:\\\\=(\frac{n+3}{2(n-3)})/ (\frac{3(n-3)}{n+3} )\\\\=\frac{3}{2}[/tex]

The quotient of the expression [tex](\frac{n+3}{2n-6})/ (\frac{n+3}{3n-9} )[/tex] is given as 3/2

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If the average rate of change is 18, then the value of the x is √(13/5). Then the correct option is B.

It's an average of how far the functions changed per unit throughout that time period.

Let f be the function given by f(x) = x³ + 5x.

Then the value in the closed interval [1,3] will be

The instantaneous rate of change will be

[tex]f'(x) = 3x ^2 + 5[/tex]

Then the average rate of change will be

[tex]= \dfrac{f(3) - f(1)}{3-1} \\\\= \dfrac{(3^3 + 5\times 3) - (1^3 + 5 \times 1)}{3-1}\\\\= 18[/tex]

Then we have

3x² + 5 = 18

Then the value of x will be

[tex]\begin{aligned} \rm 3x^2 + 5 &= 18\\\\\rm x &= \sqrt{\dfrac{13}{3}} \end{aligned}[/tex]

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A) The number of students who like both drinks is 325.

B) The number of students who like one of these drinks only. 275

A Venn diagram is used to visually represent the differences and the similarities between two concepts.

Total students= 900

students like tea=600

students like coffee=500

Students did not like both drinks=125

Students who both or any one of the drinks= 900-125=725

Now,

students like both drinks= 600+500-725

                                         = 325

Hence, the number of students who like both drinks is 325.

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Answer:

[tex]\bigodot B.\:\: 31\sqrt 3[/tex]

Step-by-step explanation:

f(-2) means the x value is -2 and you need to find the y value at that point.

At x = -2 the line crosses the y axis at y = 2

f(-2) = 2

If a pair related to the function is graphed

Then

So

f(x)=y

Her e

Find the point

So

f(-2)=2

Answer:

58 more ml

Step-by-step explanation:

147-89=58 ml.

Answer:

2sin((1)x + 135)-3

Step-by-step explanation:

Asin(Bx+C)+D

A = amplitude = distance from top to bottom divided by 2

y value of top = -1

y value of bottom = -5

distance from top to bottom = -1 - (-5) = 4

divide by 2 to get 4/2 = 2 as our amplitude

2π/B = period

in this case, we're working in degrees for our x axis - 2π = 360°

thus, 360°/B = period

period = time it takes to get from one high to the next (alternatively, one low to the next etc.) = 360 degrees in this case

thus, 360°/B = 360°

divide both sides by 360° and multiply both sides by B to isolate B

360/360 = B = 1

phase shift = -C/B

phase shift refers to how much the graph is shifted to the left/right. normally, the middle of a sin wave is at 0, with a peak being to the right of it. now, the middle of the sin wave (which has a peak to the right of it) is at x = -135 degrees to the right of a regular sine wave

thus,

-135 degrees = -C/B

B = 1

-135 degrees = -C

C = 135 degrees

D = vertical shift

the center is now at y = -3. normally, the center is at y = 0. thus, D = -3

our formula is thus

2sin((1)x + 135)-3

An equation is formed of two equal expressions. The cost of a new book is $7.43, while the cost of an old book is $8.86.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given the cost of 14 used books is $124. Therefore, the cost of a single used book is,

Cost of single used book(u) = 124/14 = $8.86

Also, the cost of 12 used books and 4 new books is $136. Therefore, the equation can be written as,

12u + 4n = 136

12(8.85) + 4n = 136

106.2 + 4n = 136

n = $7.43

Hence, the cost of a new book is $7.43, while the cost of an old book is $8.86.

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Answer:

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

given - an equation and its roots !

To find - values of a and b in the given equation ~

[tex]Quadratic \: eq {}^{n} = ax {}^{2} + 7x + b = 0 \\ [/tex]

roots of the question are [tex] \dashrightarrow - 3 \: and \: \frac{2}{3} \\ [/tex]

Now ,

[tex]Sum \: of \: zeroes \: ( \: \alpha \: + \: \beta \: ) = - \frac{ - b}{a} \\ \\ \implies \: - 3 + \frac{2}{3} = \frac{ - 7}{a} \\ \\ \implies \: \frac{ - 9 + 2}{3} \\ \\ \implies \frac{ - 7}{3} = \frac{ - 7}{a} \\ \\ \underline{on \: comparing} \\ \\\bold\red{\implies \:a = 3}[/tex]

further ,

[tex]Product \: of \: zeroes \: ( \: \alpha \: \times \beta \: ) = \frac{c}{a} \\ \\ \implies \: (- \cancel {3})( \frac{2}{\cancel3} ) = \frac{b}{a} \\ \\ \implies \: - 2 = \frac{b}{3} \\ \\ \implies \: b = 3 \times - 2 \\ \\ \bold\red{\implies \: b = - 6}[/tex]

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Answer: ITs B

Step-by-step explanation: because the Ir which mean of real numbers the range is the higher number

Answer:

A. (-2, 0)

I hope this helps you.