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sergiy2304 [10]
2 years ago
15

A nutrition company is marketing a low calorie snack brownie. A serving size of the snack is 3 brownies and has a total of 50 ca

lories. Determine how many calories 21 brownies would have
Mathematics
1 answer:
lozanna [386]2 years ago
3 0

Answer:

350 calories

Step-by-step explanation:

divide 50 by 3 then multiply that number by 21.


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Jillian needs to cross a stream that is 4 1⁄4 yards wide. She wants to use a nearby log which is 11 feet long. Is the log long e
Aloiza [94]
12 1/4 feet wide stream so it is 1 feet and 9 inches shorter
4 0
2 years ago
You are debating about whether to buy a new computer for $800.00 or a refurbished computer with the same equipment for $640.00.
Xelga [282]
The difference
800−640
=160

160×(1+0.045)
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3 0
2 years ago
Read 2 more answers
different sizes of regular pentagons are used in a stained glass window.each small pentagon has side lengths of 4 inches and an
Liula [17]
The goal is to find the area of a pentagon with side length 8.

We can find the area of a pentagon very easily by splitting it up into 10 congruent right triangles with the apothem as the height. The base of one of these triangles would be 4. The base angle would be 54 degrees, because it's half of the angle of a regular pentagon.

Using trig we find that the height of this triangle/apothem of the pentagon is equal to 4tan(54 degrees), which is about 5.506.

The area of a triangle is bh/2, so...4*5.506/2 = 11.011 in².
Times 10 triangles is 110.11 in².

7 0
2 years ago
Trevor is analyzing a circle, y2 + x2 = 100, and a linear function g(x). Will they intersect?
lakkis [162]
Given a circle described by the equation:
y^2+x^2=100
and a function g(x) given by the table
\begin{center}
\begin{tabular}{ |c |c |c }
 x & g(x) \\
 -1 & -22 \\
 0 & -20  \\
1 & -18   
\end{tabular}
\end{center}

The function g(x) describes a straight line with the equation:
\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}  \\  \\  \frac{y-(-22)}{x-(-1)} = \frac{-20-(-22)}{0-(-1)}  \\  \\ \frac{y+22}{x+1} = \frac{-20+22}{0+1} = \frac{2}{1}  \\  \\ y+22=2(x+1)=2x+2 \\  \\ y=2x-20

To check if the circle and the line intersects, we substitute the equation of the line into the equation of the circle to see if we have a real solution.
i.e.
y^2+x^2=100 \\  \\ (2x-20)^2+x^2=100 \\  \\ 4x^2-80x+400+x^2=100 \\  \\ 5x^2-80x+300=0 \\  \\ x^2-16x+60=0 \\  \\ (x-6)(x-10)=0 \\  \\ x-6=0 \ or \ x-10=0 \\  \\ x=6 \ or \ x=10

When x = 6, y = 2(6) - 20 = 12 - 20 = -8 and when x = 10, y = 2(10) - 20 = 20 - 20 = 0

Therefore, the circle and the line intersect at the points (6, -8) and (10, 0).
8 0
2 years ago
Read 2 more answers
Adult male heights have a normal probability distribution with a mean of 70 inches and a standard deviation of 4 inches. What is
NNADVOKAT [17]

Answer:

The probability that the man is greater than 74 inches is 0.1587

Step-by-step explanation:

The required probability is found by evaluating the area under the corresponding distribution curve for the corresponding values

The standard normal variate factor (Z) is given by

Z=\frac{x-\bar {X}}{\sigma }

where

\bar{x} is mean of the data

\sigma is the standard deviation of the data

Thus corresponding to x = 74 the Z factor equals

Z=\frac{74-70}{4}=1

Using the standard normal distribution table corresponding to mean of 70 and deviation of 4 the area under the curve corresponding to Z = 1 equals

0.1587

6 0
2 years ago
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