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lubasha [3.4K]
3 years ago
12

The sum of three consecutive even integers is -396. What is the largest of the three integers?

Mathematics
1 answer:
zvonat [6]3 years ago
6 0
Let x, x + 2 and x + 4 be three consecutive even integers;
Then x + x + 2 + x + 4 = - 396;
3x + 6 = -96;
3x = - 102;
x = ( -102 )÷3 ;
x = - 34;
The numbers are - 34 ; -32 ; - 30;
The largest of the three integers is - 30.
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The number of 8-ounce glasses of water Shane drank each day for 12 days is represented in
masha68 [24]

The histogram representing the data is attcwhwd in the picture below.

Answer:

C On exactly 25% of these days, Shane drank 3 to 4 glasses of water.

Step-by-step explanation:

The number of 8 - ounce glasses is represented on the x - axis and the number of days on the y - axis.

From the histogram ;

Shane drank 1 - 2 glasses on exactly 1 day

Shane drank 3 - 4 glasses on exactly 3 days

Shane drank 5 - 6 glasses on exactly 6 day

Total number of days = 12

60% of 12 = 7.2

On exactly 60% of the days, which is 7.2 days, number of glasses drunk isn't covered by the histogram

25% of 12 ; 0.25 * 12 = 3 days

From the histogram, number of glasses consumed is 3 - 4 glasses ; which is the only true statement about the histogram in the options given.

5 0
3 years ago
Which system of equations could be graphed to solve the equation below? log Subscript 0. 5 Baseline x = log Subscript 3 Baseline
Vanyuwa [196]

You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).

The system of equations that could be graphed to solve the equation given is

  • y = \log_{0.5}(x)\\\\
  • y = \log_3(2+x)

<h3>How can we form a system of equations from an equation?</h3>

Suppose the equation be a = b\\

Let there is a symbol c such that we have a = b = c

It is because a and b are same measure (that is exactly what a = b means)

and we gave another name c to that measure.

Thus, we have

a = c\\b = c

in addition to  a = b\\

<h3>Using the above method to find the system of equations needed</h3>

Since the given equation is log_{0.5}(x) = log_2(2+x)

The 2d graphs are usually expressed as y = f(x) on X-Y plane.

Taking the equation's expressions equal to y, we get

log_{0.5}(x) = log_2(2+x) = y

or, we get system of equations as

y = log_{0.5}(x)\\\\y = log_3{(2 + x)}

Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.

Thus,

The system of equations that could be graphed to solve the equation given is

  • y = \log_{0.5}(x)\\\\
  • y = \log_3(2+x)

Learn more about solutions to system of equations here:

brainly.com/question/14550337

4 0
3 years ago
I need the answer this is hard
vlada-n [284]

it takes the robot 32/3 hour(s) to complete one task which in decimal form would be something like 10.6667.

3 0
3 years ago
6ft and 10ft =? it's the pythagorean theorem
anyanavicka [17]

Answer:

11.7

Step-by-step explanation:

pythagorean theorem is A^{2} +B^{2}=C^{2}

apply that same formula soo 6^{2} +10^{2}=136^{2}

then sqaure root 136\sqrt{136} =11.66190379

round that soo now the answer is 11.7

7 0
3 years ago
Read 2 more answers
If the measurment of the angles of a triangle are 3b,2b,and 4b then what is the smallest angle
d1i1m1o1n [39]

Given:

The measurement of the angles of a triangle are 3b,2b,and 4b.

To find:

The smallest angle.

Solution:

According to the angle sum property, the sum of all angles of a triangle is 180 degrees.

3b+2b+4b=180^{\circ}           [Angle sum property]

9b=180^{\circ}

Divide both sides by 9.

b=20^{\circ}

Now,

3b=3(20^{\circ})=60^{\circ}

2b=2(20^{\circ})=40^{\circ}

3b=4(20^{\circ})=80^{\circ}

Therefore, the smallest angle is 40 degrees.

6 0
3 years ago
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