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9966 [12]
1 year ago
15

Julie is at the store buying groceries. She needs to get a quart of orange juice and some peaches. The quart of orange juice cos

ts $2.25 and the peaches are $0.75 each. The function f(x) = 0.75x + 2.25 represents Julie's expenses at the grocery store. What do the f(x) and the x represent?
A.f(x) represents the number of items purchased at the grocery store; x represents the number of peaches purchased
B.f(x) represents the total cost of the grocery bill; x represents the cost per peach
C.f(x) represents the number of items purchased at the grocery store; x represents the cost per peach
D.f(x) represents the total cost of the groceries; x represents the number of peaches purchased
Mathematics
1 answer:
Readme [11.4K]1 year ago
6 0
The answer is D
Hope this helps! :)
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The picture below shows a box sliding down a ramp:
Gennadij [26K]

Answer:

AC=15.1\ ft

Step-by-step explanation:

we know that

In the right triangle ABC

The function sine of angle 68 degrees is equal to divide the opposite side SB by the hypotenuse AC

so

sin(68\°)=\frac{AB}{AC}

substitute the values and solve for AC

sin(68\°)=\frac{14}{AC}

AC=\frac{14}{sin(68\°)}

AC=15.1\ ft

4 0
2 years ago
A student repeatedly measures the mass of an object using a mechanical balance and gets the following values: 560 g, 562 g, 556
MrRissso [65]

Answer: 2.76 g

Step-by-step explanation:

The formula to find the standard deviation:-

\sigma=\sqrt{\dfrac{\sum(x_i-\overline{x})^2}{n}}

The given data values : 560 g, 562 g, 556 g, 558 g, 560 g, 556 g, 559 g, 561 g, 565 g, 563 g.

Then,  \overline{x}=\dfrac{\sum_{i=1}^{10} x_i}{n}\\\\\Rightarrow\ \overline{x}=\dfrac{560+562+556+558+560+556+559+561+565+563}{10}\\\\\Rightarrow\ \overline{x}=\dfrac{5600}{10}=560

Now, \sum_{i=1}^{10}(x_i-\overline{x})^2=0^2+2^2+(-4)^2+(-2)^2+0^2+(-4)^2+(-1)^2+1^2+5^2+3^2\\\\\Rightarrow\ \sum_{i=1}^{10}(x_i-\overline{x})^2=76

Then, \sigma=\sqrt{\dfrac{76}{10}}=\sqrt{7.6}=2.76

Hence, the  standard deviation of his measurements = 2.76 g

6 0
2 years ago
What is -1 2/3 + 5/6​
Monica [59]

Answer:

-5/6

Step-by-step explanation:

-1 2/3=-5/3

-5/3+5/6=-10/6+5/6=-5/6

5 0
2 years ago
Read 2 more answers
The graph represents the feasible region for the system:
morpeh [17]

We have been given a system of inequalities and an objective function.

The inequalities are given as:

y\leq 2x\\
x+y\leq 45\\
x\leq 30\\

And the objective function is given as:

P=25x+20y

In order to find the minimum value of the objective function at the given feasible region, we need to first graph the region.

The graph of the region is shown below:

From the graph, we can see that corner points of the feasible region are:

(x,y) = (15,30),(30,15) and (30,60).

Now we will evaluate the value of the objective function at each of these corner points and then we will compare which of those values is minimum.

\text{At (15,30)}\Leftrightarrow P=25\cdot 15+20\cdot 30=975\\
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\text{At (30,60)}\Leftrightarrow P=25\cdot 30+20\cdot 60=1950\\

Hence the minimum value of objective function is 975 and it occurs at x = 15 and y = 30

3 0
2 years ago
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aalyn [17]
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8 0
2 years ago
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