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mash [69]
3 years ago
13

Write and solve an equation to find Marys. Mary is 6 years older than Ellen. Jim is 5 years older than Mary. If their total comb

ined age is 41. How old is Ellen?
Mathematics
1 answer:
Lubov Fominskaja [6]3 years ago
4 0

nggkkkb ghjkkjgh

ggjbdfhhkmbssrjokncfd

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A tiny but horrible alien is standing at the top of the Empire State Building (which is
Leto [7]

Answer:

87.7 degrees.

Step-by-step explanation:

In triangle ABC, attached.

The height of the building |AB|=443 meters

The distance of the agent across the street , |BC|=18 meters

We want to determine the angle at C.

Now,

Tan C=\dfrac{|AB|}{|BC|} \\C=arctan (\dfrac{|AB|}{|BC|} )\\=arctan (\dfrac{443}{18} )\\=87.67^\circ\\\approx 87.7^\circ $(correct to the nearest tenth)

The agent should sfoot his laser gun at an angle of 87.7 degrees.

7 0
4 years ago
One canned juice drink is 15% orange juice another is 10% orange juice how many liters of each should be mixed together in order
vfiekz [6]
\bf \begin{array}{lccclll}
&quantity(L)&concentration&
\begin{array}{llll}
concentrated\\
quantity
\end{array}\\
&-----&-------&-------\\
\textit{15\% juice}&x&0.15&0.15x\\
\textit{10\% juice}&y&0.10&0.10y\\
-----&-----&-----&-----\\
mixture&5&0.14&(5)(0.14)
\end{array}

whatever the amounts of "x" and "y" are, they must add up to 5Liters
thus x + y = 5

and whatever the concentrated quantity is in each, they must add up to (5)(0.14)

notice, that we use the decimal notation for the amount of juice concentration, that is, 15% is just 15/100 or 0.15, and 14% is just 14/100 or 0.14 and so on, recall that "whatever% of something" is just (whatever/100)*something

thus    \bf \begin{cases}
x+y=5\implies \boxed{y}=5-x\\\\
0.15x+0.10y=(5)(0.14)\\
----------\\
0.15x+0.10\left(\boxed{5-x}  \right)=(5)(0.14)
\end{cases}

solve for "x", to see how much of the 15% juice will be needed

what about "y"?  well, y = 5 - x

7 0
3 years ago
An art teacher has 24 girls and 40 boys at a soccer camp. The campers will be divided into equal-sized groups. Each group will h
tresset_1 [31]
8 groups is what i suppose
Hope this helps!!! ;-)
5 0
3 years ago
Expression tha have the same vaule
Vedmedyk [2.9K]
I don't know if this is the answer that you are looking for, but would the answer be all solutions?
6 0
3 years ago
What represent the relationship between the total mass of a crate
sineoko [7]

9514 1404 393

Answer:

  (a)  M = 0.25n +100

Step-by-step explanation:

The distance between the dots on the graph is a rise of 1 grid square and a run of 2 grid squares. If we extend the sequence of dots to the left, we expect to place one at (0, 100). That is, the y-intercept of this function is 100 (eliminates choices C and D).

The rise of 1 grid square represents 25 kg, and the run of 2 grid squares represents 100 CDs. Then the slope of the function (rate of change) is ...

  slope = rise/run = 25/100 kg/CD = 0.25

Then the equation describing the points on the graph will be ...

  M = 0.25n +100

5 0
3 years ago
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