In a sale, the original price of a bag was reduced to
80% its original value. The sale price of the bag is £56.
Work out the original price.

Answer:

1. x=1

2. y=5

3. m=-6

4. z=3

Step-by-step explanation:

Answer:

I don't know because i am doing math along the way to solve answer.

Step-by-step explanation:

4x+8=2x+10

4x-2x+8=10

2x=10-8

2x=2  

x=1 ANSWER FOR 1

2.)

Same thing as 1.

9y-3=6y+12

3y=15

Divide both by 3 and you get

y=5 Answer For 2

________________________

3.)

8m+4=4m-20

4m=-24

m=-6 Answer For 3

_________________________

4.)

11z-14=5z+4

6z=18

z=3 Answer for 4

Answer:

CD=66

Step-by-step explanation:

12x-30=6x+18

6x=48

x=8

12(8)-30=66

CD=66

Answer:

380%

Step-by-step explanation:

Turn into an improper fraction:

3x5=15 15+4= 19/5

You can do two ways

multiply by 20

19      x20            380

------                = ----------

5        x20           100

Other way: put into calculator

3,8

Turn into percent by multiplying by 100

=380

Answer:

D

As temperature increases, so does mpg meaning better milage in warmer temperatures

Answer:

Step-by-step explanation:

m3/9=3

We move all terms to the left:

m3/9-(3)=0

We multiply all the terms by the denominator

m3-3*9=0

We add all the numbers together, and all the variables

m^3-27=0

#learnwithbrainly

Answer:

1/5,2/5,4/5,1,2,4   B

Step-by-step explanation:

To my recollection the rational zeroes theorem is when you take all the factor of the Y intercept and list those and then take the factors from before and divide it by A

The first step would be to break down 4 into

1,2,4

Those are our first couple of answers, now it's time to divide it by 5

so we have 1/5, 2/5,4/5

Put it all together and get 1/5,2/5,4/5,1,2,4

Answer:

B

Step-by-step explanation:

Answer: F

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

3.3 x 3 = 9.9 which is close to 10 so its H

To figure out how many of the 70 comments were those about questions for Gwen about camping gear, you need to first find the decimal of 30%, which is 0.3. Then the equation should be:

70 x 0.3

Answer: 21

Answer:21 comments about camping gear

Step-by-step explanation: Because percentages are just fractions out of 100, we know that 30% is 30/100. If you multiply 30/100 by 70, you get 21.

Answer:

No, Kareem is incorrect.

Step-by-step explanation:

Kareem says that the ratio of [tex]\frac{4}{1}=\frac{12}{9}[/tex] because 4 + 8 = 12 and 1 + 8 = 9

But the correct way to rewrite the ratio 4 : 1 is,

[tex]\frac{4}{1}=\frac{4\times 3}{1\times 3}[/tex]

Which becomes as,

[tex]\frac{4}{1}=\frac{12}{3}[/tex]

Therefore, Kareem is not correct.

Correct ratio equivalent to 4 : 1 is 12 : 3.

Answer: 25

Step-by-step explanation:

the exterior angle at q is 155, and the exterior and interior angle add up to 180. so, the interior angle at q is 180-155, which equals 25. angle PSR is across from interior angle q, and in parallelograms, angles across from one another must equal each other. this means that for PQRS to be a parallelogram, angle PSR must be 25 degrees.

Answer:

C) 5

Step-by-step explanation:

The measure of angle TSU is 75°. (180° - 105° because it is a flat angle)

The sum of all the angles of a triangle is 180° as well.

You can write an equation to solve for x.

12x + 9x + 75 = 180

Isolate x.

12x + 9x = 180 - 75

12x + 9x = 105

Add the 12 and the 9.

21x = 105

Find what x is.

x = 105 ÷ 21

x = 5

Answer:

5

Step-by-step explanation:

xf

Answer:

26

Step-by-step explanation:

Answer:

C. 26 m

Step-by-step explanation:

home / math / pythagorean theorem calculator

Pythagorean Theorem Calculator

Please provide any 2 values below to solve the Pythagorean equation: a2 + b2 = c2.

Result

abc

Given a=24 and b=10,

c = 26

∠α = 67.38° = 67°22'48" = 1.17601 rad

∠β = 22.62° = 22°37'12" = 0.39479 rad

area = 120

perimeter = 60

h =  

120

13

= 9.2307692307692

+ Show Calculation Steps

a =  

24

√  

b =  

10

√  

c =  

√  

Calculate  

Related

Triangle Calculator | Right Triangle Calculator

Pythagorean Theorem

The Pythagorean Theorem, also known as Pythagoras' theorem, is a fundamental relation between the three sides of a right triangle. Given a right triangle, which is a triangle in which one of the angles is 90°, the Pythagorean theorem states that the area of the square formed by the longest side of the right triangle (the hypotenuse) is equal to the sum of the area of the squares formed by the other two sides of the right triangle:

In other words, given that the longest side c = the hypotenuse, and a and b = the other sides of the triangle:

a2 + b2 = c2

This is known as the Pythagorean equation, named after the ancient Greek thinker Pythagoras. This relationship is useful because if two sides of a right triangle are known, the Pythagorean theorem can be used to determine the length of the third side. Referencing the above diagram, if

a = 3 and b = 4

the length of c can be determined as:

c = √a2 + b2 = √32+42 = √25 = 5

It follows that the length of a and b can also be determined if the lengths of the other two sides are known using the following relationships:

a = √c2 - b2

b = √c2 - a2

The law of cosines is a generalization of the Pythagorean theorem that can be used to determine the length of any side of a triangle if the lengths and angles of the other two sides of the triangle are known. If the angle between the other sides is a right angle, the law of cosines reduces to the Pythagorean equation.

There are a multitude of proofs for the Pythagorean theorem, possibly even the greatest number of any mathematical theorem.

Algebraic proof:

In the figure above, there are two orientations of copies of right triangles used to form a smaller and larger square, labeled i and ii, that depict two algebraic proofs of the Pythagorean theorem.

In the first one, i, the four copies of the same triangle are arranged around a square with sides c. This results in the formation of a larger square with sides of length b + a, and area of (b + a)2. The sum of the area of these four triangles and the smaller square must equal the area of the larger square such that:

(b + a)2 = c2 + 4  

ab

2

= c2 + 2ab

which yields:

c2 = (b + a)2 - 2ab

= b2 + 2ab + a2 - 2ab

= a2 + b2

which is the Pythagorean equation.

In the second orientation shown in the figure, ii, the four copies of the same triangle are arranged such that they form an enclosed square with sides of length b - a, and area (b - a)2. The four triangles with area ab  2 also form a larger square with sides of length c. The area of the larger square must then equal the sum of the areas of the four triangles and the smaller square such that:

(b - a)2 + 4  

ab

2

=

(b - a)2 + 2ab

= b2 - 2ab + a2 + 2ab

= a2 + b2

Since the larger square has sides c and area c2, the above can be rewritten as:

c2 = a2 + b2

which is again, the Pythagorean equation.

There are numerous other proofs ranging from algebraic and geometric proofs to proofs using differentials, but the above are two of the simplest versions.

Answer:

13.5 lbs

Step-by-step explanation:

The number of pounds to be added with 36 lb to make cashews nut 60% is 12 pounds.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

45% cashew nuts = 36 lb

Multiply 60/45 on both sides.

60% = 60/45 x 36 lb

60% = 48 lb

The number of pounds to be added.

= 48 - 36

= 12 lb

Thus,

12 pounds of cashew should be added to 36 lb to make it 60% cashews.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ2

Answer:

14.68

Step-by-step explanation:

it simple 23.42 minus 8.74

9514 1404 393

Answer:

  $875

Step-by-step explanation:

The account pays simple interest, so the formula for the balance is ...

  A = P(1 +rt)

  A = $500(1 +0.025×30) = $500(1.75) = $875

There will be $875 in the account at age 30.

Answer:

[tex]a_n=-2-5n[/tex]

Step-by-step explanation:

Arithmetic Sequences

The arithmetic sequences are those where any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.

The equation to calculate the nth term of an arithmetic sequence is:

[tex]a_n=a_1+(n-1)r[/tex]

Where

an = nth term

a1 = first term

r   = common difference

n  = number of the term

We are given the sequence

-7 -12 -17 -22 -27 ...

The first term of this sequence is a1=-7. We can calculate the common difference by subtracting two consecutive terms:

r = -12 - (-7) = -12 + 7 = -5

The nth term is:

[tex]a_n=-7+(n-1)(-5)[/tex]

Multiplying:

[tex]a_n=-7-5n+5[/tex]

Simplifying:

[tex]\boxed{a_n=-2-5n}[/tex]

Answer:

65

Step-by-step explanation:

15*3+15=60

30*2+15=75

20*4+15=85

10*5+15=65

Step-by-step explanation:

C = -11

A = -13

V = 9

E = -9

If you are adding them: -24

Hope this helps!

Answer:

Domain: [-5,4)

Range: (0, 4]

Step-by-step explanation:

You can see that the domain does not include the number four because of the open dot marking that spot, and the range does not include 0 because of this same reason.

Answer:

Volume of prism = 4000 cm cubed

Step-by-step explanation:

Given that:

Height of rectangular prism = 5 meters

Converting into centimeters as the area of base is in centimeters.

1 meter = 100 centimeter

5 meters = 500 cm

Area of the base = 8 cm squared

Volume of prism = Area of base * Height

Volume of prism = 8 * 500

Volume of prism = 4000 cm cubed

Hence,

Volume of prism = 4000 cm cubed

Answer:

4=b

Step-by-step explanation:

3b+3+1=4b

3b+4=4b

-3b    -3b

4=b

Answer:

1500

Step-by-step explanation:

Parenthesis first, 3x10 is 30 5x10 is 50, 50x30 is 1500

Answer:

f(g(x)) = x^4 + 12x^3 + 14x^2 -132x + 123

Step-by-step explanation:

Here, we simply will place g(x) into f(x)

So every x in f(x) is replaced by g(x)

Thus, we have;

(x^2 + 6x + 11)^2 + 2

= (x^2+6x-11)(x^2 + 6x -11) + 2

= x^4 + 6x^3 -11x^2 + 6x^3 + 36x^2 - 66x -11x^2 -66x + 121 + 2

= x^4 + 12x^3 + 14x^2 -132x + 123

Answer:

a 1,5

Step-by-step explanation:

if the yintercept is 2, and the y increases 3 per every x value, then when the x would be one the y would be 5