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choli [55]
3 years ago
12

A chef makes a fruit salad using pears and mangos. Pears and mangos each cost $2.25 per fruit. The chef buys x pears and y mango

s. Which two expressions represent the chef's cost of making the fruit salad?
Mathematics
1 answer:
GrogVix [38]3 years ago
3 0

Answer:

P=2.25x-----------1

M=2.25y----------2

Step-by-step explanation:

Step one:

given data

we are told that the cost of pears= $2.25 each

       and cost of mango= $2.25 each

Step two:

the chef bought x pears and y mangoes

let the total cost of pears be P

and for mango be M

P=2.25x-----------1

M=2.25y----------2

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F(x)-mx+ b, f(-2)=3 and f(4)=1 , what is the value of m and b
NeX [460]

Answer: m=\dfrac{-1}{3}, b=\dfrac{7}{3}

Step-by-step explanation:

Given

Function is  f(x)=mx+b

f(-2)=3

\therefore 3=m(-2)+b\\\Rightarrow b-2m=3\quad \ldots(i)

f(4)=1\\\therefore 1=4m+b\quad \ldots(ii)

from (i) and (ii) we get

m=\dfrac{-1}{3}, b=\dfrac{7}{3}

3 0
3 years ago
A rectangular restaurant kitchen has a perimeter of 36 meters and an area of 80 square meters. what are the dimensions of the ki
konstantin123 [22]
Let L and W be the length and width of the given rectangle, respectively. Perimeter is calculated through the equation,

    P = 2L + 2W

Substituting the perimeter,
   36 = 2L + 2W
Simplifying,
    18 = L + W

The area is calculated by multiplying the length and width as below,
    A = 80 = LW
  
Substituting the expressions,
   80 = (L)(18 - L)
The value of L from the equation is 8. With this, the value of W is equal to 10.

Therefore, the dimensions of the rectangle are 8 m by 10 m. 
8 0
4 years ago
Rearrange y =1/2x+1to make x the subject.
ella [17]

❤❤❤❤❤❤❤❤❤❤❤❤❤❤

y =  \frac{1}{2} x + 1 \\

Multiply sides by 2

2 \times y = 2 \times ( \frac{1}{2} x + 1) \\

2y =( 2 \times  \frac{1}{2} x) + (2 \times 1) \\

2y = x + 2

x + 2 = 2y

Subtract sides 2

x + 2 - 2 = 2y - 2

x = 2y - 2

Done...

❤❤❤❤❤❤❤❤❤❤❤❤❤

3 0
3 years ago
Read 2 more answers
What is the center and radius of the circle that has the equation x+72+y-42=49? Explain.
balu736 [363]

Answer: The center is (-7, 4) and the radius is 7.

Step-by-step explanation:

The equation for a circle usually is:

(x - a)^2 + (y - b)^2 = R^2

where R is the radius, and (a, b) is the center of the circle.

I guess that the equation in this case is:

(x + 7)^2 + (y - 4)^2 = 49

then, in this case we have:

a = -7 and b = 4, then (a, b) = (-7, 4)

this means that the center of our circle is in the point (-7, 4)

and we know that:

R^2 = 49

R = √49 = 7

Then the radius is equal to 7.

3 0
4 years ago
What is the coefficient of the x^4 term in the expanded form of (2x-7)^6
Artist 52 [7]

Answer:

The coefficient of x^{4} = 11760

Step-by-step explanation:

∵ The rule of expanded the binomial is :

(a+b)^{n}=C_{0} ^{n} a^{n}b^{0}+C_{1}^{n}a^{n-1}b^{1}+C_{2}^{n}a^{n-2}b^{2}+.............

∴ The Expanded of (2x-7)^{6} is:

(2x-7)^{6}=C_{0}^{6}(2x)^{6}(-7)^{0}+C_{1}^{6}(2x)^{5}(-7)^{1}+C_{2}^{6}(2x)^{4}(-7)^{2}+..........

(2x-7)^{6}=(1)(64x^{6})(1)+(6)(32x^{5})(-7)+(15)(16x^{4})(-7)^{2}

We will take the term of x^{4} and find the coefficient of it

∴ The coefficient of x^{4} = (15)(16)(-7)^{2}=(15)(16)(49)=11760

6 0
3 years ago
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