I need like a lot of help I’m bout to fail

Bennett purchase some beef and some chicken for a family barbecue the beef cost was $6.30 per pound and the chicken cost $4.60 p

Ivenika [448]

Answer: He bought 7 pounds of chicken and 5 pounds of beef

Step-by-step explanation: We shall start by assigning letters to the unknown variables. Hence, let b represent a pound of beef and let c represent a pound of chicken. If Bennett bought a total of 12 pounds of meat, then we can express this as

b + c = 12

Then if he spent a total of $63.7 on both types of meat, we can write it out as

6.3b + 4.6c = 63.7

We now have a pair of simultaneous equations, which are

b + c = 12 --------(1)

6.3b + 4.6c = 63.7 --------(2)

In equation (1) we shall make b the subject of the equation

b = 12 - c

We now substitute for the value of b into equation (2)

6.3(12 - c) + 4.6c = 63.7

75.6 - 6.3c + 4.6c = 63.7

We collect like terms and we now have

-1.7c = -11.9

Divide both sides of the equation by -1.7

c = 7.

Having found the value of c, we can now substitute for the value of c into equation (1)

b + c = 12

b + 7 = 12

Subtract 7 from both sides of the equation

b = 5.

Therefore, Bennett purchased 7 pounds of chicken and 5 pounds of beef.

6 0

4 years ago

a chef uses 4 3/4 cups of broth for 10 servings of soup.how much broth is is one serving . let x represent amount. 4 3/4/10 =x/1

enyata [817]

Let's firstly convert the mixed fraction to "improper" and then proceed,

$\bf \begin{array}{ccll}
\stackrel{broth}{cups}&servings\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
4\frac{3}{4}&10\\\\
x&1
\end{array}\implies \cfrac{\quad \stackrel{mixed}{4\frac{3}{4}}\quad }{x}=\cfrac{10}{1}\implies \cfrac{\quad \frac{4\cdot 4+3}{4}\quad }{x}=\cfrac{10}{1}$

$\bf \cfrac{\quad \stackrel{improper}{\frac{19}{4}}\quad }{x}=\cfrac{10}{1}\implies \cfrac{\quad \frac{19}{4}\quad }{\frac{x}{1}}=\cfrac{10}{1}\implies \cfrac{19}{4}\cdot \cfrac{1}{x}=\cfrac{10}{1}\implies \cfrac{19}{4x}=\cfrac{10}{1}
\\\\\\
19=40x\implies \cfrac{19}{40}=x$

6 0

4 years ago

for her book club, Sharon reads for 45 minutes each day. write an expression for the number of hours she reads in d days

Dafna1 [17]

N=(3/4)*h*d

--------------------

n=Number of hours she reads

h=Hour(s)

d=Days

--------------------

You see, with this formula - when d=2,

n=(3/4)*h*2=(6/4)*h=(3/2)*h=1.5 hours

So, in the space of 2 days, she had spent 1.5 hours reading.

5 0

3 years ago

Read 2 more answers

Suppose f is a one-to-one function with f(2)=8 and f’(2)=4. What is the value of (f^-1)’(8)?

yuradex [85]

Answer:

1/4

Step-by-step explanation:

The tangent line to f(x) at x=2 goes through the point (2, 8) and has slope 4.

The inverse function f⁻¹(x) is a reflection of the function f(x) across the line y=x. The corresponding tangent line will go through point (8, 2) and have slope 1/f'(2) = 1/4 at that point. That is, ...

(f⁻¹)'(8) = 1/f'(f⁻¹(8)) = 1/f'(2) = 1/4