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Leto [7]
3 years ago
12

Use the image to answer questions 6-7.

Mathematics
1 answer:
zepelin [54]3 years ago
6 0

Answer:

x = 22

y = 24

Step-by-step explanation:

110 and 5x are equal to each other because they are vertically opposite of each other.

110 = 5x; divide 5 on both side; x = 22

a line is 180 degrees, so if we use angle 110 with 3y-2, then 3y-2 must equal 70 (180 - 110).

70 = 3y - 2; add 2 to both sides

72 = 3y; divide 3 on both sides; x =24

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A store sells packages of batteries. The package with the best deal has the highest ratio of number of batteries to total cost.
Lilit [14]

Complete question:

A store sells packages of batteries. The package with the best deal has the highest ratio of number of batteries to total cost.

Packages of Batteries

Number of Batteries

Total Cost

3

$8

5

$8

12

$24

14

$24

Which package offers the best deal?

3 for $8

5 for $8

12 for $24

14 for $24

Answer:

5 for $8

Step-by-step explanation:

Given:

3 batteries sell for $8

5 batteries sell for $8

12 batteries sell for $24

14 batteries sell for $24

To find the package that offers the best deal, find the cost of each battery by dividing each total cost by the number of the batteries. The package with the lowest will be the best package.

Thus:

Package 1: \frac{8}{3} = 2.67

Package 2: \frac{8}{5} = 1.60

Package 3: \frac{24}{12} = 2.00

Package 1: \frac{24}{14} = 1.71

The best package here is package 2 where 5 batteries sell for $8, because the cost of each battery here is significantly lower than the cost of each battery in other packages.

4 0
3 years ago
A cylindrical 2014-t6 aluminum alloy bar is subjected to compression-tension stress cycling along its axis; results of these tes
Pani-rosa [81]

Complete part of Question:

Assume a factor of safety of 3.0

The Maximum stress versus logarithm of the number of cycles to fatigue failure curve for 2014-T6 Aluminium bar is attached to this solution

Answer:

The maximum allowable load amplitude is 6403.33 N

Step-by-step explanation:

diameter of the bar, d = 12 mm

d = 0.012 m

Cross sectional area of the bar, A = πd²/4

A = π*0.012²/4

A = 0.000113 m²

From the Maximum stress versus logarithm of the number of cycles to fatigue failure for 2014-T6 Aluminium bar attached to this solution;

At 10⁷ cycles, Maximum stress, S = 170 MPa

S = 170 * 10⁶ Pa

Factor of safety, N = 3.0

The tensile stress is given by the formula:

\sigma = S/N\\\sigma = \frac{170 * 10^{6} }{3} \\\sigma = 56.67 * 10^{6} N/m^{2}

The tensile stress is also given by:

\sigma = F/A\\\sigma = F/0.000113

F/0.000113 = 56.67 * 10⁶

F = 56.67 * 10⁶ * 0.000113

F = 6403.33 N

The maximum allowable load amplitude is 6403.33 N

3 0
3 years ago
Read 2 more answers
Kelsi's mom, Sue, is 8 times as old as Kelsi. In 10 years , Sue will be 3 times as old as Kelsi. How old are Kelsi and Sue now?
777dan777 [17]
8x+10=3(X+10)
8x+10=3x+30
5x= 20
X=4
Kelsi 4
Mom 32
7 0
4 years ago
Read 2 more answers
All of the following expressions represent the sum of n and itself, except _____.
Helen [10]
The correct answer is C. n2
8 0
3 years ago
Read 2 more answers
Frank bought 6 pens and 3 highlighters in the school store and paid $21 for the whole purchase. His friend, Andy, paid $19 for 2
vovangra [49]

Answer:one pen = $1.50

Step-by-step explanation:

See picture for the math if that helps

Using p for pens, h for highlighter,

A for first equation

B for second equation


I used equation A to reduce to a usable substitute by dividing all by 3

And then isolating “h”.

Now substitute the value of “h” into equation B and solve for “p”

P=$1.50

To check your work, substitute p ($1.50) into equation B and solve for “h”

h=$4.00

Now substitute the p and h values into either equation A or B and solve, they equal the numbers given

5 0
2 years ago
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