please help me on math ​

The number of pupils that chose English as their favorite subject is 26

From the table given, we can see that we have to fill the space before the addition of the numbers.

For the number of girls that chose English, we have;

= Total number of girls - sum of Maths and Sciences

= 38 - (20 + 12)

= 38 - 32 = 6

For the number of boys that chose English, we have;

= Total for Maths - Girls that chose Maths

= 25 - 20 = 5

Also,

Total pupils for all the courses - total for girls

= 70 -38 = 32

Then,

= 32 - ( 5 + 7)

= 32 - 12 = 20

Total pupils that chose English

= 20 + 6

= 26 pupils

Thus, the number is 26

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The required answer is,

Percentage of green = 37%.

The surface area of a cylinder can be defined as the total space covered by the flat surfaces of the bases of the cylinder and its curved surface.

A=2πrh+2πr2

r Radius

h Height

Here, we have,

Surface area of a cylinder = πr² + 2πr h

With r = 22 and h = (6 + 10) = 16

Area = π * 22² + 2 * π * 22 * 16

Area = 1520.728 + 2211.968

Area = 3732.696 in²

Now,

Percentage of green = surface area of green ÷ total surface area

Surface area of green = 2πr h

Surface area of green = 2 * π * 22 * 10

Surface area of green = 1382.48

Percentage of green = 1382.48 / 3732.696 * 100%

Hence, the required answer is,

Percentage of green = 37%

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Answer:

Step-by-step explanation:

The answer is 43.96

First multiply 28x157, that equals 4,396

Since there are two decimal points we need to move the decimal. After moving the decimal two place values the answer becomes 43.96.

The time that it will take the ink to diffuse a distance of 10⁻⁴ cm is; 10⁻³ seconds

The subject of a formula is defined as the variable that is being worked out. It can be recognized as the letter that is on its own on one side of the equals sign. For example, in the formula for the area of a rectangle;

A = base * height , the subject of the formula is  A.

We are given t as the subject of a formula written as;

t = x²/2D

Where;

t is time in seconds that it takes molecules to diffuse a distance a centimeters.

D is the diffusion coefficient

We are given;

D = 10⁻⁵ cm²/s

Distance of diffusion; x = 10⁻⁴ cm

Thus;

t = (10⁻⁴ )²/10⁻⁵

t = 10⁻⁸/10⁻⁵

t = 10⁻⁸⁺⁵

t = 10⁻³ = 0.001 seconds

That is the time we conclude it will take the ink to diffuse.

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Answer:

See below for solution

When I post this I lose the formatting but you should be able to figure it out

Step-by-step explanation:

Part a

p               q                    ∼ ( p ∨ ∼ q ) → ∼ p
------------------------------------------------------------

True True                     True

True False                    True

False True                     True

False False                    True

Part b

p                q             r                      p → ( q → r )
-----------------------------------------------------------------

True         True        True                 True

True          True        False               False

True          False       True                True

True          False       False               True

False         True        True                True

False         True        False               True

False         False      True                 True

False         False  False                True

Part c

p               q             r            ( p → q ) → r
-----------------------------------------------------------

True True True True

True True False False

True False True True

True False False True

False True True True

False True False False

False False True True

False False False False

Part d

p               q             (p → q)→(p ∧ q)
---------------------------------------------------

True True                      True

True False                     True

False True                       False

False False                      False

Answer:

x = 2

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{EC}{BC}[/tex] = [tex]\frac{DE}{AB}[/tex] ( substitute values )

[tex]\frac{2x+3}{13x-1.5}[/tex] = [tex]\frac{6}{21}[/tex] ( cross- multiply )

6(13x - 1.5) = 21(2x + 3) ← distribute parenthesis on both sides

78x - 9 = 42x + 63 ( subtract 42x from both sides )

36x - 9 = 63 ( add 9 to both sides )

36x = 72 ( divide both sides by 36 )

x = 2

15 pound of dog food will feed 27 dogs

At the dog shelter, 36 dogs are fed in a day

These 36 dogs will be fed with 20 pound bag of dog food

Therefore the number of dogs that can be fed with 15 pound of dog food can be calculated as follows

= 36/20

= 1.8

The next step is to multiply 1.8 by 15

= 1.8 × 15

= 27

Hence 27 dogs will be fed with 15 pound of dog food

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The fractions from the given options that is less than 1/2 hence option A.

The concept that will be used is division of the numerator by the denominator. The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top of the line.

The given fraction is 1/2, if we convert to decimal, by dividing the numerator by the denominator  we have 0.5

Then we can conert the given options one after the other.

Option A ; 3/8 = 0.375

Option B = 5/8 = 0.625

Now from the result we can see that 0.375  < 0.5 < 0.625 , hence option A is correct.

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If in construction, floor space must be planned for stair cases. the length of the railing that would be attached to these stairs is: 6.657 meters.

First step is to convert the meter to centimeters and the find the number of step

3.6m =360cm

360cm/18cm = 20 steps

So,

20 steps ×  28 cm = 560 cm long

x²= 3.6cm² + 5.6m²

x²= 12.96 + 31.36

x² = 44.32

x = √44.32

x = 6.657 meters

Therefore the length is 6.657 meters.

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Answer:

Step-by-step explanation:

FALSE

An obtuse-angled triangle is a triangle in which one of the interior angles measures more than 90° degrees

The shaded region that represents the subset of the students at North High School will be C.

Sets are groups of clearly specified components. The number of items in a finite set is denoted by a curly bracket.

John Venn introduced the Venn diagram in the 1880s, which is a type of diagram that displays the logical relationship between sets. The illustrations are used in probability, logic, statistics, linguistics, and computer science to demonstrate basic set connections and to teach rudimentary set theory.

The shaded region that represents the subset of the students at North High School who play sports OR make the honor roll will be given by the intersection region.

The shaded region that represents the subset of the students at North High School will be C.

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Answer:

A, D

Step-by-step explanation:

A) To solve you only need to add 3 to both sides.

B) You need to use the division property of inequality and divide both sides by 22

C) You need to use the multiplication property of inequality and multiply both sides by 10/8

D) To solve you only need to add 8.25 to both sides.

E) You need to use the addition property of inequality and add 1/3 to both sides.

The total height of the tent formed using a cuboid and a pyramid is evaluated to be 9.0 m.

What is a cuboid and pyramid?

A polyhedron with six faces, eight vertices, and twelve edges is known as a cuboid. The cuboid's faces are parallel. However, a cuboid's faces do not all have the same size.

A pyramid is a structure that substantially resembles a pyramid in the geometric sense when its exterior surfaces are triangular and converge to a single step at the summit.

The height of the cuboid is a = 3m.

The base of the pyramid is b = 5m.

The slant height of the pyramid is c = 6.5 m.

To find the height of the pyramid, use the formula -

h = [tex]\sqrt{c^2-(\frac{b}{2})^2} }[/tex]

h =    [tex]\sqrt{6.5^2-(\frac{5}{2})^2} }[/tex]

h = [tex]\sqrt{42.25-(2.5)^2}[/tex]

h = [tex]\sqrt{42.25-6.25}[/tex]

h = [tex]\sqrt{36}[/tex]

h = 6 m

The height of the pyramid is 6 m.

Now, the height of the tent = a + height of the pyramid (h).

Height of tent = 3 + 6

Height of tent = 9 m.

Therefore, the height value is obtained as 9.0 m.

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Answer:

0.125 gallons

Step-by-step explanation:

1/2 quart is equal to 0.125 gallons.

Answer:

½ quart = 0.125 gallons

Step-by-step explanation:

We know that,

→ 1 quart = 0.25 gallons

Then 1/2 quarts will equals,

→ 1 quart = 0.25 gallons

→ 1 q = 0.25 gal

→ 1/2 q = (0.25/2) gal

→ 1/2 q = 0.125 gal

Hence, answer is 0.125 gal.

It will take 12 minutes  for the water level to measure 9 inches deep.

The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.

Given:

The water level in a tank measures 15 inches and is decreasing 0.5 inches every minute.

In x minute, water will decrease (0.5x) inches deep.

To find the water level to measure 9 inches deep:

That means,

water level decreased

= 15 - 9

= 6 inches.

Now,

Division,

6/(0.5)

= 12 minutes.

Therefore, the required time is 12 minutes.

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Answer:

Tristan 0.1 miles/min

Step-by-step explanation:

Divide distance and time

David =0.074 miles/min

Jalen = 0.09 miles/min

Hope this helps

The slope of the relationship is m = 5. Hence option A is the correct option.

What is the relationship?

A collection of ordered pairs having one item from each set makes up a relation between two sets. If the ordered pair (x,y) is present in the relationship and the objects x and y come from different sets, then the objects are said to be connected. One kind of relationship is a function.

Given linear relationship:

x             y

-2           -12

-1            -7

0             -2

1               3

2              8

The slope of the linear relationship that passes through the points (x₁, y₁) and (x₂, y₂) is [(y₂ - y₁)/(x₂ - x₁)].

Here, x₁ = -2 , y₁ = -12, x₂ = -1, y₂ = -7

The slope is (-7 - (-12))/(-1 - (-2))

=(-7 + 12)/(-1 + 2)

= 5/1

= 5

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Answer:

-600 is the sum of the arithmetic SERIES till [tex]S_{12}[/tex]

Step-by-step explanation:

Since this is a SERIES you would use the finite arithmetic SERIES formula

which is [tex]S_{n} = \frac{n}{2} (2a_{1} +d(n-1))[/tex]

[tex]S_{12} = \frac{12}{2} (2(-6) + -8(12-1))[/tex]

[tex]S_{12} = 6(-12 + -8(11))[/tex]

[tex]S_{12} = 6(-12 + -88)[/tex]

[tex]S_{12} = 6(-100)[/tex]

[tex]S_{12} = 600[/tex]

Therefore, the sum of the SERIES would be -600. Hope this helps!

The framed poster will cover 156 square inches of space on a wall. So the answer is D.

What is the Rectangle?

A rectangle is a four-sided geometric shape with four right angles. The opposite sides of a rectangle are of equal length, and the opposite sides are of equal width. It is defined by its length and width. The length is the longer side of the rectangle and the width is the shorter side. The area of a rectangle is found by multiplying the length by the width, and the perimeter is found by adding the lengths of all four sides.

The poster itself is 12 inches by 9 inches, so it covers a total area of 129 = 108 square inches.

However, we also need to include the area covered by the frame.

The frame is 1 inch wide on all four sides of the poster.

So, the total area covered by the frame is 41*12 = 48 square inches.

To find the total area covered by the poster and the frame, we add the area of the poster to the area of the frame:

108 + 48 = 156 square inches

Therefore, The framed poster will cover 156 square inches of space on a wall. So the answer is D.

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The linear function y = 6 · x - 1 has a rate of change equal to 6.

Linear functions are polynomials of the form y = m · x  + b, where m is the slope of the line and b is the intercept of the line. The rate of change is the first derivative of the function, that is:

r = m

In other words, the rate of change of a linear function (r) is its slope (m).

First, write the linear function:

y = 6 · x - 1

Second, extract the slope of the function and determine the rate of change of the function:

m = 6

r = 6

According to the explanation given in this problem, the rate of change of the linear function y = 6 · x - 1 is equal to 6.

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Answer:

Wrong option

Step-by-step explanation:

✓2-✓(10^2*2)

✓2-10✓2

whose value is in negative and doesn't match with your options

Check the picture below.

Answer:

25%

Step-by-step explanation:

15/60 x 100 = 25%

The box will accelerate down the ramp at a rate of 0.063 m/s²

To find the acceleration of the box down the ramp, you can use the equation:

a = g sin(θ) - (μ g cos(θ)) / m

In this equation, "a" is the acceleration of the box, "g" is the acceleration due to gravity (9.8 m/s²), "θ" is the angle of the ramp with respect to the horizontal, "μ" is the coefficient of friction between the box and the ramp, and "m" is the mass of the box.

Plugging in the values that you know, you get:

a = 9.8 × sin(24.7) - (0.211 × 9.8 × cos(24.7)) / 34.9

This simplifies to:

a = 4.095 - 1.87/ 34.9 = 0.063 m/s²

Thus, the box will travel down the ramp at a speed of 0.063 m/s².

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Answer:

To find the sum of the two expressions, we can combine like terms. In this case, we have two terms with a coefficient of -3y² and two terms with a coefficient of -3y, so we can combine them to get:

(-3y² + -3y²) + (-3y + -3y) + (2y² + 9y + 4)

Simplifying the expression gives us:

-6y² - 6y + 2y² + 9y + 4

Combining the like terms again gives us:

-4y² + 15y + 4

Therefore, the sum of the two expressions is -4y² + 15y + 4. This is already in simplest form.

The future value of the $1000 annuity payment is $7,715.61.

An annuity is when a series of payment is made over a period of time. The future value of the annuity would be a function of the amount deposited each year, the interest rate earned and the duration of the investment.

Future value = Quarterly deposit x annuity factor

Annuity factor = (1 + r)^n] - 1} / r

Where:

Future value = 1000 x  [{(1 + 0.1^(6} - 1 ] / 0.1 = $7,715.61

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The tons of gravel that the truck can carry with road ban in effect is 11.475 tons.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

Total load carried by truck is 10 cubic yards.

It can be converted into tons  as,

10 cubic yards = 10 × 1.35

⇒ 13.5 tons.

The load carried by truck during ban is given as,

85% × Total load

⇒ 85/100 × 13.5 = 11.475 tons.

Hence, the amount of gravel to be carried by truck during ban is given as  11.475 tons.

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The line of best fit for the scatterplot below passes through D) S and Q pair of points.

A scatter plot is a type of plot or mathematical diagram that uses Cartesian coordinates to display values for typically two variables for a set of data. It is also known as a scatter graph, scatter chart, scattergram, or scatter diagram.

One more variable can be shown if the points are color-, shape-, or size-coded. The data are represented as a set of points, where each point's position on the horizontal axis is determined by the value of one variable, and its position on the vertical axis by the value of the other variable.

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The maximum number of cars that can be installed on the frame is 30.

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

given, A Ferris wheel frame can withstand a weight of 6000 kg. It has cars that seat two people, and each car can withstand a maximum weight of 200 kg. since we are neglecting the weight of the cars.

Let "x" be the number of cars that can be installed

thus,

200x < 6000

x < 6000/200

x < 30

therefore, The number of cars that can be installed on the frame is 30.

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