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Yuri [45]
3 years ago
6

Write a two column proof. Given: 7y=8x-14 ; y=6 Prove: x=7

Mathematics
2 answers:
m_a_m_a [10]3 years ago
8 0
7y = 8x - 14

7y= 7(6) Reason : Given

7y = 42

8x -14 = 42 Reason: Because 8x - 14 equals to 7y


8x = 42 + 14 Reason : Because we flip 14 on to the other side of the equation thus it becomes opposute of what it was.

8x = 56

× = 7

Proven
ryzh [129]3 years ago
6 0

Given - 7y=8x-14 : y=6

Substitution Property - 7(6)=8x-14

Distributive Property - 8x-14=42

Addition Property - 8x=56

Division Property - x=7

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A car is traveling at 46 mph. it its tires have a diameter of 26 inches, how fast are the car's tires turning? express the answe
leva [86]

<span> Circumference of the tire:</span>

<span> PI x diameter = 3.14 x 26 = 81.6814 Round to 81.68</span>

Speed of the car in inches per minute:

46*5280*12/60 = 48576 inches per minute

48576/81.68 = 594.711

<span> Round to 594.71 revolutions per minute</span>


5 0
3 years ago
What is the measurement of &lt;3 and &lt;1.
Hitman42 [59]
You can revise: the sum of the two adjacent angles is 180°
and the sum of the measurements of the three corners in a triangle is also 180°
<1= 180°-57°=123°
As <2=52°, so we have <3= 180°-(28°+71°+52°)= 180°-151°=29°
have fun

3 0
3 years ago
A group of three friends
Darina [25.2K]

Answer:

$4

Step-by-step explanation:

Each of the three friends orders a combo. If each drink is $2.50 and there are three drinks, that means the total cost of the pizza is $24. There are three combos, each with two slices of pizza, meaning there are six slices of pizza total. Then you divide 24 (the total cost of the pizza) by 6 (the total amount of slices), getting $4 per slice.

8 0
2 years ago
2. The height of one square pyramid is 24 m. A similar pyramid has a height of 8 m. The volume of the larger pyramid is 648 m3.
Dmitrij [34]
Larger PyramidHeight 24 Volume 648

Pyramid Volume = (Area of the Base * Height) ÷ 3648 = Base Area * 24 / 3Base Area = 648 * 3 / 24Base Area = 648 / 8Base Area = 81Base Length = 9
a) The Scale Factor between the Small & Large PyramidLength - 3LATERAL Area - 9Volume - 27

Slant Height^2 = 4.5^2 + 24^2Slant Height^2 = <span> <span> 596.25 </span> </span> <span><span>Slant Height^2 = 24.4182308941 </span> </span>
b)
Large Pyramid Area = (½ * Perimeter of Base * Slant Height) + Base AreaLarge Pyramid Area = (.5 * 36 * <span>24.4182308941) + 81
</span>Large Pyramid Area = 439.5281560938 + 81
Large Pyramid TOTAL Area = <span> <span> 520.5281560938 </span> </span> <span>Large Pyramid LATERAL Area =<span> 439.5281560938 </span> </span>


**********************************************************************************c)
Smaller PyramidHeight 8Surface Area = 124
This pyramid has dimensions that are one third of the larger pyramid.Therefore, it has a base length of 3.Base Area = 9.
Its base perimeter would be 12.
Small Pyramid Volume = (Area of the Base * Height) ÷ 3Small Pyramid Volume = ( 9 * 8 ) / 3Small Pyramid Volume = 72 / 3
c) Small Pyramid Volume =24 cubic meters

d) Ratio of larger pyramid volume to smaller pyramid volume648 / 24 = 27The reason? Volume is a 3 dimensional quantity.  The Larger pyramid is 3 times larger in terms of the base measurement.9 meters vs 3 meters - a factor of 3When we compare volumes, we have to cube this factor.3^3 = 27

Source : http://www.1728.org/volpyrmd.htm

3 0
3 years ago
if a pair of standard dice are rolled what is the probability that one of the dice will be a 3 and the other a 4?
satela [25.4K]

Answer:

<h2>               ¹/₁₈ = 0,0(5)</h2>

Step-by-step explanation:

6•6 = 36       - all possibilities in a roll of two dices

3&4 or 4&3    - two possibilites

Probability that one of the dice will be a 3 and the other a 4:

\frac2{26}=\frac1{18}=0,05555....=0,0(5)

8 0
3 years ago
Read 2 more answers
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