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kirill115 [55]
3 years ago
8

adam hikes from bridgetown to lakeville. Gina starts at the same time, and hikes from Lakeville to Bridgetown on the same road.

Their hikes are represneted on the graph below.
Mathematics
1 answer:
IgorC [24]3 years ago
6 0

Answer:

45

Step-by-step explanation:

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There are nine water bottles in a fridge. Three full boxes are added. Two more boxes are added, both of which have one fewer bot
Degger [83]

The number of bottles in a full box is 12.

<u><em>Explanation</em></u>

Suppose, the number of bottles in a full box is  x

So, the number of bottles in <u>three</u> full boxes =3x

Now, two more boxes are added, both of which have <u>one fewer bottle than the other three</u>. So, the number of bottles in these two boxes = 2(x-1)

As there were 9 bottles initially and now there are 67 bottles in the fridge, <em><u>so the equation will be</u></em>....

9+3x+2(x-1)=67\\ \\ 9+3x+2x-2=67\\ \\ 5x+7=67\\ \\ 5x=67-7\\ \\ 5x=60\\ \\ x=\frac{60}{5}=12

Thus, the number of bottles in a full box is 12.

7 0
3 years ago
If BTS=GHD BS=25 TS=14 BT=31 GD=4x-11 S=56 B=21 and H=(7y+5) find the values of x and y
77julia77 [94]

Given:

Consider the completer question is "If ∆BTS≅∆GHD, BS=25, TS=14, BT=31, GD=4x-11, m∠S=56, m∠B=21 and m∠H=(7y+5), find the values of x and y.

To find:

The values of x and y.

Solution:

We have,

\Delta BTS\cong \Delta GHD       (Given)

BS=GD                       (CPCTC)

25=4x-11

25+11=4x

36=4x

Divide both sides by 4.

9=x

In ∆BTS,

\angle B+\angle T+\angle S=180^\circ    (Angle sum property)

21^\circ+\angle T+56^\circ=180^\circ

77^\circ+\angle T=180^\circ

\angle T=180^\circ-77^\circ

\angle T=103^\circ

Now,

\angle T=\angle H            (CPCTC)

103=7y+5

103-5=7y

98=7y

Divide both sides by 7.

14=y

Therefore, the value of x is 9 and value of y is 14.

3 0
3 years ago
What transformation has changed the parent function f(x) = log5 x to its new appearance shown in the graph below? logarithmic gr
Sloan [31]
F(x+2)-2 is the correct answer. I got it right on my test. Just make sure the point passing through is -1,-2 or you will miss this question. Hope I help you all.
8 0
3 years ago
Read 2 more answers
Hey can you please help me posted picture of question
fredd [130]
The discriminant can be determined from the number of roots of the graph.

If Disc> 0, the function has two distinct roots
If Disc = 0, the function has a repeated root
If Disc < 0, the function has no real root.

Since the given graph has no real root, i.e. it does not cross x-axis at any point, so we can say that the discriminant of the given function is negative.

So the answer to this question is option C
8 0
3 years ago
What is the solution to the system of equations?
tekilochka [14]
<span>simplify third eqn -2x+5y+2x=4
5y=4
y=4/5

substitute back to 1st n 2nd eqn n solve for x n z
-4x-4-z=18 and -2x-4-2z=12
simplify -4x-z=22 and -2x-2z=16
-4x-(-x-8)=22
-3x+8=22
x=-14/3
z=-10/3
y=4/5





</span>
3 0
3 years ago
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