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Pepsi [2]
3 years ago
12

Please help me with this problem!!!!

Mathematics
1 answer:
vodomira [7]3 years ago
3 0

Answer:

17

Step-by-step explanation:

1. 124/2=62

2. width=x

3. 2x-34=length

4. 2x=34

5. x=17

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An 16 16​-oz jar of peanut butter in the shape of a right circular cylinder is 7 7 in. high and 5 5 in. in diameter and sells fo
olya-2409 [2.1K]

Answer:

Step-by-step explanation:

The formula for determining the volume of a cylinder is expressed as

Volume = πr²h

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

Considering the 16 oz jar,

h = 7 inches

Diameter = 5 inches

Radius = diameter/2 = 5/2

r = 2.5 inches

Volume = 3.14 × 2.5² × 7 = 137.375 inches³

Considering the 29 oz jar,

h = 7.5 inches

Diameter = 5.25 inches

Radius = diameter/2 = 5.25/2

r = 2.625 inches

Volume = 3.14 × 2.625² × 7.5 = 162.27 inches³

1) If the cost is directly proportional to​ volume, then

If 137.375 inches³ cost $1.6

then 162.27 inches³ should cost

(162.27 × 1.6)/137.375 = $1.89

The price of the larger jar would be $1.89

2) If the cost is directly proportional to​ weight, then

If 16 oz cost $1.6, then

29 oz would cost

(29 × 1.6)/16 = $2.9

The price of the larger jar would be $2.9

7 0
3 years ago
Which of the lines is perpendicular to the line shown in the graph
Nitella [24]

Answer:

The line passing through (-8, 10) and (-1, 4).

Step-by-step explanation:

Two lines are perpendicular if the product of their slopes is -1. The slope of the line in the picture is 7\over 6, so we should find a line with slope of -6\over 7.

Note that the slope of the line in the last option is -7\over 6.

4 0
3 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
sashaice [31]

Answer:

k = –10

Step-by-step explanation:

From the question given above, the following data were obtained:

f(x) = x³ – 6x² – 11x + k

Factor => x + 2

Value of K =?

Next, we shall obtained the value of x from x + 2. This is illustrated below:

x + 2 = 0

Collect like terms

x = 0 – 2

x = –2

Finally, we shall determine the value of k as illustrated below:

f(x) = x³ – 6x² – 11x + k

x = –2

Thus,

f(–2) = 0

x³ – 6x² – 11x + k = 0

(–2)³ – (–2)² – 11(–2) + k = 0

–8 – (4) + 22 + K = 0

–8 – 4 + 22 + K = 0

10 + k = 0

Collect like terms

k = 0 – 10

k = –10

Thus, the value of k is –10

7 0
3 years ago
If someone has 8 fl. oz. of 16% wine, how many standard drinks has that person consumed?
UkoKoshka [18]

Answer:

2.1 standard drinks

(or 2 if you need to round to the nearest whole number)

Step-by-step explanation:

The ABV (alcohol by volume) percentage is a measure of the amount of pure alcohol (as a percentage) of the total volume of liquid in a drink.

So for 16% wine, this means that 16% of the volume of the wine is pure alcohol.

Therefore, if 16% of 8 fl oz is pure alcohol, this means that 1.28 fl oz of the 8 fl oz is pure alcohol (since 0.16 × 8 = 1.28).

One standard drink ≈ 0.6 fl oz pure alcohol

To calculate the number of standard drinks, divide the total amount of pure alcohol found by the amount in one standard drink:

1.28 ÷ 0.6 = 2.1

Therefore there is approximately 2.1 standard drinks in 8 fl oz of 16% wine.

5 0
2 years ago
Find the equation (in terms of x ) of the line through the points (-2,5) and (3,4)<br> y=
Alja [10]

Answer:

y = (-1/5)x + 23/5

Step-by-step explanation:

Given:

Two points;

(-2,5) and (3,4)

Find:

Equation of slope

Computation:

y = mx + b

5 = m(-2) + b

5 = -2m + b .......... Eq1

4 = m(3) + b

4 = 3m + b .......... Eq2

Eq2 - Eq1

-1 = 5m

m = -1/5

5 = -2m + b

5 = -2(-1/5) + b

5 = 2/5 + b

b = 23/5

y = mx + b

y = (-1/5)x + 23/5

3 0
3 years ago
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