A builder set up a wooden frame in which to pour concrete for a foundation to a house. The length of the wooden frame is 24 feet. The width is 32 feet. The diagonal is 40 feet. Which best describes the foundation?

Answer:

number of children admitted to the zoo=70

let adult =a

let children=c

a+c=165........equation 1

10a+7c=1440.......equation 2

a=165-c........equation 3

substitute equation 3 in equation 2

10a+7c=1440

10(165-c)+7c=1440

1650-10c+7c=1440

-10c+7c=-210

-3c=-210

c=70

Therefore children =70

Step-by-step explanation:

Answer 1 put all like terms then solve

hope it helps....

a) The value of the equation is A = ( x - 1 ) ( x² + 3 )

b) The value of the equation is B = ( x⁴ - 6x² + 10 ) ( x² - 4 )

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

The equation is A = x³ + 3x - x² - 3  

On simplifying the equation , we get

A = x³ - x² + 3x - 3

A = x² ( x - 1 ) + 3 ( x - 1 )

On factorizing the equation , we get

A = ( x² + 3 ) ( x - 1 )

b)

The equation is B = ( x² - 3 )³ - ( 2 - x² )² + 3 ( x² - 3 )

On simplifying the equation , we get

B =  ( x² - 3 )³ - ( x⁴ - 2x² - 2x² + 4 ) + 3 ( x² - 3 )

On further simplification , we get

B = ( x² - 3 )³ - x⁴ + 4x² - 4 + 3x² - 9

B = ( x² - 3 )³ - x⁴ + 7x² - 13

On factorizing the equation , we get

B = ( x - 2 ) ( x⁵ + 2x⁴ - 6x³ - 12x² + 10x + 20 )

B = ( x - 2 ) ( x + 2 ) ( x⁴ - 6x² + 10 )

And , on further simplification , we get

B = ( x² - 4 ) ( x⁴ - 6x² + 10 )

Hence , the equation is B = ( x² - 4 ) ( x⁴ - 6x² + 10 )

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Answer:

Step-by-step explanation:

S= 180 - ( 62 + 90)

=180-152

=80

So S = 80

Answer:

28°

Step-by-step explanation:

none needed

Answer:

$3.08 for 7 stamps  

Step-by-step explanation:

The unit rate (price per stamp) is:

$2.20

-------------- = $0.44/stamp

5 stamps

Then 7 stamps would cost:

 $0.44          

------------ * 7 stamps = $3.08 for 7 stamps  

1 stamp    

Answer:

Step-by-step explanation:

Base of a triangle is defined by the segment joining two vertices and height of a triangle is the vertical distance between the base and the third vertex.

Therefore, by following this property, triangles given in first column will match the triangles given in second column. (as figure attached)

Answer: Base of a triangle is defined by the segment joining two vertices and height of a triangle is the vertical distance between the base and the third vertex.

Therefore, by following this property, triangles given in first column will match the triangles given in second column. (as figure attached)

Step-by-step explanation:

Answer:

[tex]x = 18^o[/tex]

Step-by-step explanation:

The vertically opposite angle [tex]2x[/tex] must be equal to the original 36 degrees.

So,

[tex]2x = 36^o\\\implies x = \frac{36^o}{2}\\\implies x = 18^o[/tex]

Answer:

i'm pretty sure there's no solution

Answer:

Step-by-step explanation:

Answer: angle x= 20 degrees

Step-by-step explanation: sum of angles in triangle is 180 degrees.

You count 2x + 3x +(x+60) = 180

6x=120

Answer:

You take a regular photo of your question on your device and upload it when your asking a question on brainly!

Step-by-step explanation:

Hope I helped!

Answer:

x=4 b=-4/3

Step-by-step explanation:

for b you simplify both sides of the equation, and then you get -7b - 1 = 5B + 15 then you subtract 5 from both sides which gets you to -12b - 1 = 15 then you divide both sides by negative 12 which would be negative 12 b - -12 = 16-12 which gives you the answer of -4/3.

for x you would subtract 3x from both sides which gets you to 6x - 17 = 7 and then you would add 17 to both sides which would give you 6X = 24 and then you would divide both sides by 6 which would give you x = 4

Answer: 40

Step-by-step explanation:

Let the two numbers be a and b.

Therefore,

a - b = 3 ....... i

a + b = 13 ....... ii

From equation I, a = 3 + b

Put a = 3+b into equation ii

a + b = 13

3 + b + b = 13

3 + 2b = 13

2b = 13 - 3

2b = 10

b = 10/2

b = 5

Since a = 3 + b

a = 3 + 5

a = 8

The product of the numbers will be:

= 8 × 5

= 40

Answer:

Step-by-step explanation:

n=2p

p+5n=110, using n found above makes this become

p+5(2p)=110

p+10p=110

11p=110

p=10, since n=2p

n=2(10)

n=20

So there are 10 pennies and 20 nickels.

Answer:

275 - 11=264

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

the factors are (x-1)(x+4)(x-4)

Answer:

2800000

Step-by-step explanation:

10^6 means 1000000

2.8 x 1000000 = 2800000

Answer:

the answer is 24 centimeters

Answer:

C) 26x + 3

Step-by-step explanation:

Perimeter = 7x + 2 + 5x - 3 + 9x + 7 + 5x - 3

combine like terms:

Perimeter = 26x + 3

Answer: the first one is 35 the second is -36

Step-by-step explanation: hope this helps

Answer:

k = 6

Step-by-step explanation:

Parent function of the given graph → f(x) = (x - 1)²

If the parent function is shifted 6 units up.

Equation of the translated function will be → g(x) = (x - 1)² + 6

g(x) = f(x) + 6

Therefore, k = 6 will be the answer.

Answer:

39

Step-by-step explanation:

So there are 9 values. (1 to be added). First we add them all up. And we need to add another value. So the mean is all of the values added up, divided by the number of numbers. If we add another value, then there'll be 10 values. 24x10 is, of course, 240. If you add all of the given values, you get 201. And we can easily create the equation, x+201=240, and x, or the missing value, is obviously 39.

Answer:

Step-by-step explanation:

If it is a Pythagorean Triple the hypotenuse and the legs of a right triangle will all be integer values where

c^2=a^2+b^2

In this case, this isn’t even a right triangle as

20^2+30^2=40^2

400+900=1600

1300!=1600

because 1300 does not equal 1600 this is not a Pythagorean Triple.

Answer:

No.

Step-by-step explanation:

In order for this equation to be true, either the 8 would have to be negative or the 11.

Answer:

C.6

Step-by-step explanation:

Remember, a constant term is a term that keeps repeating. Also, it's the only term that doesn't contain a variable. In this equation, 6 is the constant.

Hope I helped!!!

Answer:I think it is 89

Step-by-step explanation:

Answer:

true

Step-by-step explanation:

"In statistics, a categorical variable is a variable that can take on one of a limited, and usually fixed, number of possible values, assigning each individual or other unit of observation to a particular group or nominal category on the basis of some qualitative property." - Wikipedia...

Answer:

(1) [tex]x = -4[/tex] (2) [tex]x = 7[/tex]

Step-by-step explanation:

From the first equation:

[tex]2(x + 3) = x - 4\\\implies x = 2(x + 3) + 4\\\implies x = 2x + 6 + 4\\\implies x = 2x + 4\\\implies -4 = 2x - x\\\implies x = -4[/tex]

From the second equation,

[tex]4(5x - 2) = 2(9x + 3)\\\implies 20x - 8 = 18x +6\\\implies 20x - 18x - 8 -6 = 0\\\implies 2x -14 = 0\\\implies 2x = 14\\\implies x = \frac{14}{2} = 7[/tex]

Answer:

A triangle with angles measuring 55°, 60°, 65° degrees

Step-by-step explanation:

Two obtuse angles means two angles over 90°

The sum of all angles in a triangle are 180°

90°+90° itself is 180°, so we cant have two angles greater than 90°

Two right angles means 90° and 90° which is 180°, not possible

55°+60°+65° = 180° so it is possible.

Answer:

wrong right right wrong right wrong

Step-by-step explanation:

70/ 130= 53.8%

4th row 3rd one to the right

2nd row, 2nd one to the right.

21/156 = 13.4%

70/130 = 53.8% round to get 54%

21/156 = 13.4%

so 2nd 3rd 5th apply

Answer: an=8+(n-1)(-6) .

Step-by-step explanation:

Answer:

-90

Step-by-step explanation:

10+5×5×(-2)

10+25×(-2)

10+(-100)

10-100

-90

Answer:

- 40

Step-by-step explanation:

Substitute x = 5, y = - 2 into the expression

10 + 5xy

= 10 + 5(5)(- 2)

= 10 - 50

= - 40