Fred spent 1 ¼ hours studying for his exam. He spent ¼ of this time studying for measurement, how many hours did Fred spend studying for measurement? *

Answer:

a). 16% of £50

= 16/100 ×50

= 8

= £8

b). 44% of 781g

= 44/100 × 781

= 343.64

= 343.64g

c). 92% of 1050km

= 92/100 × 1050

= 996

= 996km

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Answer:

B. The volume of a sphere is expressed in cubic units and the surface area of a sphere is expressed square units.

Step-by-step explanation:

Answer:

X=67.5

Step-by-step explanation:

360-90=270

Then I do

270/4=67.5 to find the answer of each X

(4 is how many X is in the 270 degree)  

Answer:

Amrita's number is 6

Step-by-step explanation:

x               Double the unknown number

2x             Add 9

2x + 9       Divide the answer by 3

2/3x + 3   Subtract 1

2/3x + 2   Set this equal to the original number

2/3x + 2 = x

-2/3x       -2/3x   Subtract 2/3x from both sides

2 = 1/3x   Multiply both sides by 3

6 = x

Amrita's number was 6.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Number = x

We can write an expression from the given statement.

{ (2x + 9) ÷ 3 } - 1 = x

Solve for x.

{ (2x + 9) ÷ 3 } - 1 = x

(2x + 9)/3 - 1 = x

2x + 9 - 3 = 3x

Add 3 on both sides.

2x + 9 =  3x + 3

Subtract 9 on both sides.

2x = 3x + 3 - 9

2x = 3x - 6

6 = 3x - 2x

x = 6

We can cross-check.

{(2 x 6 + 9) ÷ 3} - 1 = 6

{(12 + 9) ÷ 3} - 1 = 6

7 - 1 = 6

6 = 6

Thus,

The number was 6.

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Answer:

-6 and 7

Step-by-step explanation:

-6 and 7 multiply to be -42.

When you add the two values: -6+7=1

Their sum is 1!

Hope this helps

Answer:

2, -1

Step-by-step explanation:

The 16 factors of -42 are

1, 2, 3, 6, 7, 14, 21, 42

-1, -2, -3, -6, -7, -14, -21, -42

The pair of factors that have a sum of 1 is

2, -1

2 + (-1)

=1

3, -2 also

7, -6 also.

Answer:

xy^7 - x^a y^b = 0

Answer:

look at the atachment below! :)

Step-by-step explanation:

The entries that complete the table are 1, 2, 8, 6 and 3

To do this, we multiply the number of people by the proportion of sample i.e. 10%.

The product is then approximated to the nearest unit

So, we have:

7 => 7 * 10% ≈ 1

22 => 22 * 10% ≈ 2

77 => 77 * 10% ≈ 8

63 => 63 * 10% ≈ 6

31 => 31 * 10% ≈ 3

Hence, the entries that complete the table are 1, 2, 8, 6 and 3

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Answer:

True

Step-by-step explanation:

Yes! All integers "are" rational numbers. They can be expressed in the form of p/q.

Hope this helps :D

Don't hesitate asking anything regarding this.

Answer:

Yes

Step-by-step explanation:

Rational numbers are numbers that can be written as a fraction.

Integers are 1 2 3 4 5 and even -5 -4 -3 -2 -1, they can all be written as fractions.

Answer:

1) 0

2) -1

Step-by-step explanation:

x ≤ 0, that means x is equal and less than 0 . so the numbers will start from 0,-1, -2 and so on

Answer:

600 cm

Step-by-step explanation:

Surface Area of a box: SA=2lw+2lh+2hw

Since a box has equal side lengths, l = 10, w = 10, and h = 10.

SA = 2(10)(10) + 2(10)(10) + 2(10)(10)

SA = 600cm

Answer:

1. x = 32°

2. x = 28°

3. x = 15°

4. x = 30°

5. x = 40°

6. x = 20°

Step-by-step explanation:

All the angles should add up to 90° as they are complementary.

Answer:  17.8 yds

Step-by-step explanation:

The length of the arc of the ENTIRE circle is the circumference (C = 2πr).

We only want a 60° section of that circumference which is 60°/360° = 1/6 of the circumference.

The formula for length of an arc is: [tex]s=2\pi r\bigg(\dfrac{\theta}{360^o}\bigg)[/tex]

Given r = 17, θ = 60°

[tex]s=2\pi (17)\bigg(\dfrac{60^o}{360^o}\bigg)\\\\\\.\quad =2\pi(17) \bigg(\dfrac{1}{6}\bigg)\\\\\\.\quad =\dfrac{17 \pi}{3}\\\\\\.\quad =\large\boxed{17.8}[/tex]

Answer:

h= [tex]\frac{−2.094395r3+v}{1.047198r2}[/tex]

Step-by-step explanation:

v=(  [tex]\frac{1}{3}[/tex] (3.141593))(r2)(2r+h)

Step 1: Flip the equation.

1.047198hr2+2.094395r3=v

Step 2: Add -2.094395r^3 to both sides.

1.047198hr2=−2.094395r3+v

Step 3: Divide both sides by 1.047198r^2.

h= [tex]\frac{−2.094395r3+v}{1.047198r2}[/tex]

Answer:

[tex]h = \frac{3v - 2\pi \: r{ }^{3} }{\pi \: r {}^{2} } [/tex]

Step-by-step explanation:

Step 1 add -2/3Πr^3 to both sides

v + -2/3Πr^3 = 1/3hpr^2 + 2/3Πr^3 + -2/3Πr^3

Step 2 divide both sides by (Πr^2)/3

(v + -2/3Πr^3)/(Πr^2)/3 = (1/3hΠr^2)/(Πr^2)/3

(3v - 2Πr^3)/Πr^2 = h

hope this helps....

Answer:

8.12.15

Step-by-step explanation:

mark brainliest plz

Answer:

4.83*2.6=45

Step-by-step explanation:

The volume of the cylindrical soda can is 25.64 cubic inches.

Volume is defined as the space occupied by any object in the three-Dimensions. For the cylinder, we need the diameter and the height of the cylinder.

The volume will be calculated as:-

V = ( π / 4 ) d²l

We have d = 2.56 inches and h = 4.83 inches

V =  ( π / 4 ) x ( 2.56 )² x ( 4.83)

V = 25.64 cubic inches.

Hence, the volume is 25.64 cubic inches.

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Answer:

36

Step-by-step explanation:

Here, we shall be splitting the total length using the ratio given.

The total ratio is 3 + 1 = 4

Since AB is the bigger length, the ratio 3 belongs to it.

Thus; 3/4 * 48 is the length of AB

= 3/4 * 48 = 3 * 12 = 36

Answer:

1) 5.9

2) 8.1

3) 54

Step-by-step explanation:

A is opposite, so we have sine 36=a/10

sine 36(10)=a

a=5.9

B is adjacent, so we have cosine 36=b/10

cosine 36(20)=b

b=8.1

Angles of a triangle add to 180

we have a angle of 36 and a right angle which is 90

36+90=126

180-126=54

Answer:

perfect square

Step-by-step explanation:

It is not positive because it is negative.  

Answer:

D. IMAGINARY

Step-by-step explanation:

That is an imaginary number.

Answer:

1364

Step-by-step explanation:

use the calculator

Answer:

17

Step-by-step explanation:

There are a total of 39 students.

students.

The number of students that play football is twice as much as the number of students that play volleyball.

Let the number that plays volleyball be x then the number that plays football will be 2x. This we have

x + 2x = 39

3x = 39

x = 13

The total number that plays volleyball is 13.

The total number that plays football will be 2 x 13 = 26

Since 9 students play both sports, the number of students that plays only football will be 26 - 9 = 17.

Answer:

Jemima is wrong because perimeter is sum of all sides and the perimeter of this figure would be the outer sides of it and not the inner sides.

Answer:

See below.

Step-by-step explanation:

She is wrong because  3 times the perimeter  of one triangle is the sum of 9 sides of the triangles.

In the shape  we see that some of the sides of the triangles are 'shared' and dare not part of the perimeter of the shape,  - the perimeter is only the length of 5 sides of a triangle.

So the perimeter is less than the sum of the sides of the 3  triangles.

Answer: y = -3/2x + 3

Step-by-step explanation:

The slope is -3/2 (down 3, right 2)

The slope goes before x in graph functions so it’s -3/2x

The line goes through 3 on the y-axis (vertical line), so that’s where + 3 comes in.

y = -3/2x + 3

Answer:

[tex]g =7^{2} -w^{2}[/tex]

Step-by-step explanation:

[tex]w = 7 -\sqrt{g} \\re arrange\\\sqrt{g} = 7-w\\square both side\\\sqrt{g}) ^{2} =(7-w)^{2} \\g = 7^{2} -w^{2}[/tex]

Answer:

Step-by-step explanation:

We have,

Mean = Σx/n

or 12= (m+n+s+p+q)/5

or, m+n+s+p+q = 60 ...........(i)

Again,

New Mean = (m+4+n-3+s+6+p-2+q+8)/5 [∵ n = 5]

or, New Mean = {(m+n+s+p+q)+13}/5

or, New Mean = (60+13)/5 = 73/5 [from eq (i)]

∴ New Mean = 14.6 Ans.

Answer:

450

Step-by-step explanation:

Since we are estimating, we can round 596 to 600, and 77 to 75

So, we need to find 75%, or 3/4 of 600

600 * 3/4 = 150 * 3 = 450

Answer:

450 meters

Step-by-step explanation:

Answer : The expression which is equivalent to [tex]\sqrt[4]{9}^{\frac{1}{2}x}[/tex] is [tex]9^{(\frac{1}{8}x)}[/tex].

Step-by-step explanation :

The given expression is:

[tex]\sqrt[4]{9}^{\frac{1}{2}x}[/tex]

As we know that:

[tex]\sqrt[4]{x} =x^{\frac{1}{4}}[/tex]

So, by solving the above expression, we get:

[tex]\Rightarrow 9^{(\frac{1}{4}\times \frac{1}{2}x)}[/tex]

By multiplying the power of 9, we get the following expression.

[tex]\Rightarrow 9^{(\frac{1}{8}x)}[/tex]

Hence, the expression which is equivalent to [tex]\sqrt[4]{9}^{\frac{1}{2}x}[/tex] is [tex]9^{(\frac{1}{8}x)}[/tex].

The number of adult tickets sold was  30 tickets

The first step is to write out the parameters given in the question;

Adult ticket sold at the concert is at the price of $8

Student tickets sold cost $5

A total of 70 tickets were sold at $440

Therefore the number of adult tickets sold can be calculated as follows;

= 8(5)

= 40

70-40

= 30

Hence the number of adult tickets sold is 30 tickets

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Answer:

A) All real numbers

B) All real numbers except y = 0

C) All real numbers except x = -7

D) All real numbers except b = 10

Step-by-step explanation:

An expression is defined at all those points at which it does not give the value equal to [tex]\infty[/tex] or does not give the zero by zero form.

i.e. [tex]\frac{0}{0}[/tex] Numerator and Denominator both having zeroes.

Now, let us have a look at the given expressions:

A) 5y+2

Here, Denominator is 1. So, there is no constraint on the value of y.

Hence, at all Real Numbers, the expression is defined.

[tex]B)\ \dfrac{8}{y}[/tex]

Here, denominator is y,

At [tex]y = 0[/tex], the value of expression will approach towards [tex]\infty[/tex]

Hence, this expression is defined at All Real numbers except y = 0

[tex]C)\ \dfrac{1}{x+7}[/tex]

Here, zero by zero form is not possible.

Let us check the value of x where the denominator can be 0 and as a result the expression tends to reach value [tex]\infty[/tex].

x+7=0

At x = -7, the denominator will be 0 and as a result the expression tends to reach value [tex]\infty[/tex].

Hence, the expression is defined at All real number except x = -7

[tex]D) \dfrac{2b}{10-b}[/tex]

Here zero by zero form is not possible.

Let us check the value of b where the denominator can be 0 and as a result the expression tends to reach value [tex]\infty[/tex].

10-b=0

At b = 10, the denominator will be 0 and as a result the expression tends to reach value [tex]\infty[/tex].

Hence, the expression is defined at All real number except b = 10