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Delicious77 [7]
3 years ago
9

Fiona bought some socks that cost $4.95 for each pair and some belts that cost $6.55 each. Fiona spent $27.95 in all. Let a repr

esent the number of pairs of socks purchased and b the number of belts purchased. Which equation models the situation? a plus b equals 11.50 a plus b equals 27.95 4.95 a plus 6.55 b equals 27.95 6.55 a plus 4.95 b equals 27.95
Mathematics
2 answers:
lilavasa [31]3 years ago
8 0

Answer:

4.95 a plus 6.55 b equals 27.95

Step-by-step explanation:

aev [14]3 years ago
5 0

Answer:

the correct answer is c. 4.95a + 6.55b = 27.95

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The perimeter of an isosceles triangle is 65 centimeters. Find the length of the two equal sides when each is 10 centimeters lon
natita [175]

Answer: the length of each of the two equal sides is 25 centimeters

Step-by-step explanation:

Let x represent the length of each of the two equal sides. This means that the total length of the two longer sides is 2x.

Let y represent the length of the third side.

The perimeter of a triangle is expressed as the sum of the length of each side of the triangle. The perimeter of the isosceles triangle is 65 centimeters. It means that

2x + y = 65 - - - - - - - - - 1

Each of the equal sides is 10 centimeters longer than the third side. This means that

x = y + 10

Substituting x = y + 10 into equation 1, it becomes

2(y + 10) + y = 65

2y + 20 + y = 65

2y + y = 65 - 20

3y = 45

y = 45/3 = 15

Substituting y = 15 into x = y + 10, it becomes

x = 15 + 10 = 25

5 0
3 years ago
Based on the polynomial remainder theorem, what is the value of the function when x=−6 ?
Vaselesa [24]
ANSWER

f( - 6) =  10


EXPLANATION

The given function is
f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40

According to the remainder theorem,

f( - 6) = R
where R is the remainder when
f(x)

is divided by
x + 6


We therefore substitute the value of x and evaluate to obtain,

f( - 6) =  { (- 6)}^{4}  + 8 {( - 6)}^{3}  + 10 { (- 6)}^{2}  - 7( - 6)+ 40




f( - 6) =  1296 + 8 ( - 216) + 10 (36) - 7( - 6)+ 40




f( - 6) =  1296  - 1728 + 360  + 42+ 40



This will evaluate to,


f( - 6) =  10


Hence the value of the function when
x =  - 6

is
10



According to the remainder theorem,
10
is the remainder when

f(x) =  {x}^{4}  + 8 {x}^{3}  + 10 {x}^{2}  - 7x + 40
is divided by
x + 6
3 0
3 years ago
Write a polynomial of least degree with rational coefficients, a leading coefficient of 1, and zeros at 3 and sqr root 7. Expand
Tresset [83]

Answer:

(x-3)(x^2-7) = x^3 -3x^2 -7x + 21

just change the sign of the root and put x in front of it, then multiply the factors all together

(x-3)(x-sqr7)(x+sqr7)    roots come in conjugate pairs to eliminate irrational coefficients

(x-sqr7)(x+sqr7) = x^2-7.  similar to (a-b)(a+b) = a^2-b^2

Step-by-step explanation:

6 0
3 years ago
-8+4u=-28<br> Simplify your answer as much as possible
yulyashka [42]
The answer would be -5
6 0
2 years ago
Read 2 more answers
Which fraction is represented by point A on the number line?
Akimi4 [234]

This would be a lot easier with the figure.

Four equal spaces means quarters.

A is 1 mark to the left of 0, so 1/4 to the left of 0.  That's  -1/4

Answer: Negative one-fourth

7 0
3 years ago
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