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Answer:

Each shelter would get 121 blankets

And there would be 5 blankets left over

Step-by-step explanation:

One of the local homeless shelters received a donation of 852 blankets to help support the homeless population during the harsh winter months. They plan on distributing them to all 7 of the local shelters. How many blankets will each shelter get? Will there be any leftover? If so, how many?

From the above question

7 local shelters = 852 blankets

1 local shelters = x blankets

Cross Multiply.

7x = 852 blankets

x = 852 blankets/7

x = 121 5/7 blankets

Therefore, Each shelter would get 121 blankets

And there would be 5 blankets left over

Answer:

No

Step-by-step explanation:

i did it on khan

Answer:

$600 overall

Step-by-step explanation:

Answer:

$600 more overall

Step-by-step explanation:

i'm great at math

Answer:

The simplest polynomial function is [tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex].

Step-by-step explanation:

A n-th order polynomial in factorized form is defined by:

[tex]y = (x-r_{1})\cdot (x-r_{2})\cdot ...\cdot (x-r_{n-1})\cdot (x-r_{n})[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]r_{1}[/tex], [tex]r_{2}[/tex],..., [tex]r_{n-1}[/tex], [tex]r_{n}[/tex] - Roots of the polynomial.

We know that three roots, two real and a complex root. By Quadratic Formula,  a second order polynomial has two conjugated complex number of the form [tex]a + i\,b[/tex] and [tex]a - i\,b[/tex]. Hence, there is an additional zero: [tex]-i\,27[/tex].

By applying (1), we have the following polynomial when all roots are used:

[tex]y = (x-7)\cdot (x-\sqrt{13})\cdot (x-i\,27)\cdot (x+i\,27)[/tex]

By factorization and algebraic handling we have the simplest polynomial function:

[tex]y = [x^{2}-(7+\sqrt{13})\cdot x +7\sqrt{13}]\cdot (x^{2}+27)[/tex]

[tex]y = x^{2}\cdot (x^{2}+27)-(7+\sqrt{13})\cdot [(x^{2}+27)]\cdot x+7\sqrt{13}\cdot (x^{2}+27)[/tex]

[tex]y = x^{4}+27\cdot x^{2}-(7+\sqrt{13})\cdot x^{3}-(7+\sqrt{13})\cdot 27\cdot x +7\sqrt{13}\cdot x^{2}+189\sqrt{13}[/tex]

[tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex]

The simplest polynomial function is [tex]y = x^{4}-(7+\sqrt{13})\cdot x^{3}+(27+7\sqrt{13})\cdot x^{2}-(189+27\sqrt{13})\cdot x + 189\sqrt{13}[/tex].

Answer:

Step-by-step explanation:

2x—33

Answer:

the answer should be x>-2

Answer:

download photo math

Step-by-step explanation:

+!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer: distance

Step-by-step explanation:

The rest of the words have actual accompanying definitions in geometry.

An undefined term used in geometry is the point.

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21286272

The age of the man is 40 years and that of his daughter is 8 years respectively.

A linear equation can be solved by equating the LHS and RHS of the equation following some basic rules such as by adding or subtracting the same numbers on both sides and similarly, doing division and multiplication with the same numbers.

Suppose the age of man be x.

Then, age of his daughter is x - 32.

As per the question the following equation can be formed for the product of ages as ,

x(x - 32) = 320

⇒ x² - 32x - 320 = 0

⇒ x = 40, -8

Since, age of a person cannot be a negative value, it is taken as positive.

Thus, the age of daughter is 40 - 32 = 8

Hence, the age of the man and his daughter is obtained as 40 and 8 years respectively.

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Step-by-step explanation:

Suppose the cost of one glass is x

The cost of one mug is y

according to question

[tex]\Rightarrow 3x+3y=18\quad \ldots(i)\\\\\Rightarrow 6x+4y=32\quad \ldots(ii)[/tex]

Solving [tex](i)\ \&\ (ii)[/tex] we get

[tex]\Rightarrow x=4\ \text{and}\ y=2[/tex]

So, the cost of each glass is £4

and cost of each mug is £2

Answer:

WHat do you want me to slove?

Step-by-step explanation:

Answer:

u only gave 10

Step-by-step explanation:

Answer:

I think it is D

Step-by-step explanation:

Answer:

Chairs: 1.75   Tables: 8.50

Step-by-step explanation:

Answer: yea its 123445

Step-by-step explanation:

1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient​ is verified.

Polynomial, a mathematical expression made comprised of numbers and variables arranged in specific patterns.

As per the given data:

We are given the equation of a cubic polynomial x³ + 3x² - x - 3.

The zeroes of the given cubic polynomial are also given.

We have to verify that the zeroes of the cubic polynomial are correct, and they satisfy the relationship between zeroes and the coefficient​.

For a polynomial p(x) is p(a) = 0 then a is a zero of p(x).

Checking the given zeroes similarly:

For 1:

1³ + 3(1)² - 1 - 3 = 0

1 + 3 - 1 - 3 = 0

0 = 0

1 is a zero

For -1:

(-1)³ + 3(-1)² - (-1) - 3 = 0

-1 + 3 + 1 - 3 = 0

0 = 0

-1 is a zero

For -3:

(-3)³ + 3(-3)² - (-3) - 3 = 0

-27 + 27 + 3 - 3 = 0

0 = 0

-3 is a zero

For ax³ + bx² + cx + d = 0, the sum of all the roots should be equal to

= (-b)/a

Similarly, for x³ + 3x² - x - 3:

1 + (-1) + (-3) = (-3)/1

1 - 1 - 3 = -3

-3 = -3

1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient​ is verified.

Hence, 1,-1,-3 are the zeroes and the relationship between zeroes and the coefficient​ is verified.

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Answer: 3/4

Step-by-step explanation:

Slope formula is y2-y1 / x2-x1 or in this case 7-4 / 1--3 which equals = 3/4

Answer:

m=3/4

Step-by-step explanation:

Step-by-step explanation:

y+3=x

or 0=x-y-3... ans

3x+4y=16

or, 3x+4y-16=0 answer.......

Answer:

3 liter

Step-by-step explanation:

you will save $0.01

2.12/2 = 1.06

3.15/3= 1.05

Answer:

The 3-liter bottle is a better deal.

Step-by-step explanation:

The price of each liter for the 2 liter bottle is $1.06, while the price per liter for the 3-liter bottle is $1.05

Answer:

15

Step-by-step explanation:

5 - 20

10 - 40

15 - 60

Answer:

15

Step-by-step explanation:

because if you double 20 two more times you get 60 so then had 5 three times you get 15

Answer:

The dimensions are 106, 47,116

Step-by-step explanation:

[tex]when \: {(x + 10)}^{2} = {y }^{2} + {x}^{2} \\ then \: {y}^{2} = {(x + 10)}^{2} - {x}^{2} \\ {y}^{2} = {x}^{2} + 20x + 100 - {x}^{2} \\ {y}^{2} = 20x + 100 \\ then \: y = \sqrt{20x + 100} \\ when \\ area \: of \:rectangular \: = x \times y \\ then \\ x \times \sqrt{20x + 100} = 5000 \\ Square \: both \: sides \\ {x}^{2} (20x + 100) = 25000000 \\ 20 {x}^{3} + 100 {x}^{2} - 25000000 = 0 \\ Using \: the \: analysis \\ x = 106 \: \: \: or \: x = - 55.5 \\ \: We \: reject \: the \: negative \: solution \: because \: there \: is \: no \: length \: in \: the \: negative \\ then \: the \: dimensions \: are \: \\ 106 \\ 47 \\ 116[/tex]

Answer:

m<2 = 120

Step-by-step explanation:

When two lines are parallel and are intersected by a transversal, same side exterior angles are supplementary, meaning that their angle measures add up to 180 degrees.

Using this, one can form the equation;

m<8 + m<2 = 180

Substitute,

60 + m<2 = 180

Inverse operations,

60 + m<2 = 180

-60              -60

m<2 = 120

Answer:

Step-by-step explanation:

Solution

<8 = 60 degrees.

<6 is <8s supplement

<6 + <6 = 180

60 + <6 = 180

<6 = 180 - 60

<6 = 120

<2 and <6 are corresponding angles and are therefore equal.

<2 = 120

Answer: 4

Step-by-step explanation:

Inequalities help us to compare two unequal expressions. When 3a + 7b > 2a - 8b is solved for a, the result is a>-15b.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

When the inequality 3a + 7b > 2a - 8b is solved, the solution will be,

3a + 7b > 2a - 8b

3a - 2a > -7b - 8b

a> -15b

Hence, When 3a + 7b > 2a - 8b is solved for a, the result is a>-15b.

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Answer:

106 degrees

Step-by-step explanation:

180 -74 = 106

The second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.

Two angles are said to be supplementary angles when they add up to 180 degrees.

Two angles are supplementary, if

a). one of its angle is an acute angle and another angle is an obtuse angle.

b). both of the angles are right angles.

This means that if A and B are the two angles then

[tex]m[/tex]∠A+[tex]m[/tex]∠B = 180 degrees

According to the given question we have

angles A and C are supplementary

and, [tex]m[/tex]∠A = 74 degrees

therefore,

the measure of angle C is calculated as

[tex]m[/tex]∠A + [tex]m[/tex]∠C = 180 degrees        (sum of the supplementary angles)

74 + [tex]m[/tex]∠C = 180 degrees            ( [tex]m[/tex]∠A = 74 )

[tex]m[/tex]∠C = (180 - 74)degrees            ( subtracting 74 degrees both the sides)

[tex]m[/tex]∠C = 106 degrees

Hence,  second option is correct i.e. [tex]m[/tex]∠C = 106 degrees.

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Answer:

7x +1

Step-by-step explanation: