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Angelina_Jolie [31]
4 years ago
6

Solve the equation 2 + y = z for the variable y.

Mathematics
2 answers:
arsen [322]4 years ago
8 0

Answer:

y=z-2

Step-by-step explanation:

FinnZ [79.3K]4 years ago
8 0
Y=z-2
You subtract 2 onto the other side to get y by itself.
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A man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream. Fin
pochemuha

The speed of the current is 40.34 mph approximately.

<u>SOLUTION: </u>

Given, a man can drive a motorboat 70 miles down the Colorado River in the same amount of time that he can drive 40 miles upstream.  

We have to find the speed of the current if the speed of the boat is 11 mph in still water. Now, let the speed of river be a mph.  Then, speed of boat in upstream will be a-11 mph and speed in downstream will be a+11 mph.

And, we know that, \text{ distance } =\text{ speed }\times \text{ time }

\begin{array}{l}{\text { So, for upstream } \rightarrow 40=(a-11) \times \text { time taken } \rightarrow \text { time taken }=\frac{40}{a-11}} \\\\ {\text { And for downstream } \rightarrow 70=(a+11) \times \text { time taken } \rightarrow \text { time taken }=\frac{70}{a+11}}\end{array}

We are given that, time taken for both are same. So \frac{40}{a-11}=\frac{70}{a+11}

\begin{array}{l}{\rightarrow 40(a+11)=70(a-11)} \\\\ {\rightarrow 40 a+440=70 a-770} \\\\ {\rightarrow 70 a-40 a=770+440} \\\\ {\rightarrow 30 a=1210} \\\\ {\rightarrow a=40.33}\end{array}

8 0
3 years ago
What is x? please help
kari74 [83]
<h3>Answer:  x = 44</h3>

====================================================

Work Shown:

The three interior angles of any triangle always add to 180

82+54+x = 180

136+x = 180

x = 180-136

x = 44

---------------

Extra info:

If you need the value of y, then,

x+y = 180

y = 180-x

y = 180-44

y = 136

Or you could use the remote interior angle theorem to find y

y = 82+54

y = 136

The value of z is equal to y since these two angles are vertical angles.

5 0
3 years ago
Sylvia earns $7 per hour at her after school job. After working one week, she received a paycheck for $91.
makvit [3.9K]

Answer:

a.) hours=13

b.) h\leq 15

c.) $$105

Step-by-step explanation:

a.) If she earns $7 'per' hour, this multiplication. After a week, we need to see how many hours she worked to earn $91, so this goes behind the equal sign. Let <em>h</em> be the unknown number of hours:

7h=91

Solve for h. Divide both sides by 7:

\frac{7h}{7}=\frac{91}{7}\\\\h=13

Sylvia worked 13 hours at a rate of $7 an hour.

b.) She can work at most 15 hours a week. At 'most' can also mean less than or equal to. Let <em>h</em> be hours:

h\leq 15

Sylvia can work less than or equal to 15 hours per week.

c.) If Sylvia can work 15 hours, plug in this value for <em>h</em> into an equation when she earns $7 per hour. Let the product of the hours and money equal <em>t</em> for total:

t=7(15)\\t=105

The most money Sylvia can earn in a week is $105.

<em>Finito.</em>

6 0
3 years ago
On a treasure map, the last clue is that the treasure is buried is buried a certain number of feet away from a tree. the distanc
Trava [24]
The lcm of 20 and 8 is 40 feet.
3 0
3 years ago
"Given m = -2/5 and b = -7, write the equation of the line containing these points"
KatRina [158]

Answer:  y = (-2/5)x - 7

This is the same as writing y = -\frac{2}{5}x-7

======================================================

Explanation:

Any linear equation is of the form y = mx+b, known as slope-intercept form

m = slope

b = y intercept

We'll replace m with -2/5 and replace b with -7 to get y = (-2/5)x + (-7) which simplifies to y = (-2/5)x - 7

4 0
2 years ago
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