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NemiM [27]
2 years ago
12

At the supermarket you can fill your own Honeybear container. A customer buys 12 ounces of honey for $5.40.

Mathematics
1 answer:
IRISSAK [1]2 years ago
8 0
Total number of oz of honey = 12 oz.
Cost of 12 oz of honey = $5.40.
Cost per oz of honey = 5.40 divided 12 = $0.45 per oz.
Therefore,
a) Cost per ounce of honey = $0.45.
b) Number of ounces we can buy for one dollar = 12 divided by 5.40 = 2.22 oz approximatly.
c)
h = 2.22c, wherr h is the number of ounces of honey for c dollars.
c=0.45h, where c is the total cost of h number of ounces of honey.
d) Let us take c=0.45h equation for graph the situation.
x-axis would be for h number of ounces of honey and y-axis is the total cost c of h ounces of honey.
Let us find some values of h and c for the graph.
For equation: c=0.45h for h=1,we get c=$0.45.
If we plug h=2, we get c= 0.45*2 = $0.90.
If we plug h=3, we get c= 0.45*3 = $1.35.
Therefore, we would plot (1,0.45), (2,0.90) and (3,1.35) on the graph and draw a straight line.
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A ship at position (1, 0) on a nautical chart (with north in the positive y direction) sights a rock at position (7, 5). What an
Romashka-Z-Leto [24]

Answer:

0.69473828 radians east of north.

Step-by-step explanation:

Interpreting the information given on a Cartesian plane, the position of the ship will be (1,0) and that of the rock will be (7,5). Connecting the point (1,0) and (7,5) with a line and dropping a perpendicular line from point (7,5) to the x-axis to intersect the x-axis at (7,0), will form a right-triangle with base length 6 units and a height of 5 units.

<u>Finding the base length from points (1,0) and (7,0)</u>

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(7-1)²

d= √6²

d=6 units

<u>Finding the height from points (7,5) and (7,0)</u>

d=√(x₂-x₁)²+(y₂-y₁)²

d=√(7-7)² + (0-5)²

d=√-5²

d=√25

d=5 units

So you now have a right triangle with base length 6 units and height 5 units.

To get the bearing of rock from ship position you apply the formula for tangent of an angle

Tan Ф = length of opposite side/length of adjustment side

TanФ=5/6

Tan Ф =0.83333333333

Tan⁻¹ (0.83333333333) =0.69473828 radians east of north.

3 0
3 years ago
The square of a number decreased by 3 times the number 28 find all possible values for the number
stealth61 [152]

Question:

The square of a number decreased by 3 times the number is 28 find all possible values for the number  

Answer:

The possible values of number are 7 and -4

Solution:

Given that the square of a number decreased by 3 times the number is 28

To find: all possible values of number

Let "a" be the unknown number

From given information,

square of a number decreased by 3 times the number = 28

a^2 - 3a = 28

a^2 - 3a - 28 = 0

Let us solve the above quadratic equation

\text {For a quadratic equation } a x^{2}+b x+c=0, \text { where } a \neq 0

x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Using the above formula,

\text { For } a^{2}-3 a-28=0 \text { we have } a=1, b=-3, c=-28

\begin{aligned}&a=\frac{-(-3) \pm \sqrt{(-3)^{2}-4(1)(-28)}}{2 \times 1}\\\\&a=\frac{3 \pm \sqrt{9+112}}{2}\\\\&a=\frac{3 \pm \sqrt{121}}{2}=\frac{3 \pm 11}{2}\\\\&a=\frac{3+11}{2} \text { or } a=\frac{3-11}{2}\\\\&a=7 \text { or } a=-4\end{aligned}

Thus the possible values of number are 7 and -4

5 0
3 years ago
Find the length of BC
sdas [7]

Answer:

It would be 90

Step-by-step explanation:

If you look at it you can see it is a right angle. And a right angle is always 90 degrees. Hopes this helps and have a nice day and stay safe

8 0
3 years ago
Can someone help? I hate math so much lol I don’t understand
marishachu [46]

Answer:

±6

Step-by-step explanation:

Given the mathematical expression;

√36 < √42 < √49

But, √36 = 6 * 6 = 6²

√49 = 7 * 7 = 7²

Simplifying further, we would substitute the new values respectively;

±[6] < √42 < ±[7]

Therefore, evaluating √36 is equal to ±6.

8 0
3 years ago
Two people are swinging a jump rope. The height of the middle of the rope, in inches, can be modeled by a cosine function with a
Tju [1.3M]

Answer:

B. 75 inches

Step-by-step explanation:

just took the test

3 0
3 years ago
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