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MakcuM [25]
3 years ago
7

NEED ANSWER ASAP pls

Mathematics
1 answer:
EleoNora [17]3 years ago
4 0

Answer:

Let F = Fran's income

Let W = Winston's income

Combined income is 80000  ==>  F + W = 80000

One quarter of Winston's income is the same as one-sixth of Fran's income  ==>  

(1/4)*W = (1/6)*F

Multiply the 2nd equation by 12 to clear the fractions  

3*W = 2*F

Solve this equation for F

F = (3/2)*W

Substitute this value for F into the 1st equation

(3/2)*W + W = 80000

(5/2)*W = 80000

W = (2/5)*80000 = 32000

So F = 80000 - 32000 = 48000

So Winston earns 32000 and Fran earns 48000

Check:  One quarter of Winston's income is 32000/4 = 8000

           One sixth of Fran'e income is 48000/6 = 8000

Step-by-step explanation: Hope this helps

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Find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 4y sqrt (x) , (4, 5) max
liubo4ka [24]

Answer:

Remember that the maximum rate of change of f at a point u is the length of the of the gradient vector evaluate in u, and the direction in which it occurs is in direction of the gradient vector evaluate in u.

The gradient vector of f is

\triangledown f(x,y)=(\frac{\partial f}{\partial x},\frac{\partial f}{\partial y})=(2yx^{-\frac{1}{2}}, 4\sqrt x)

Then, the maximum rate of change is|\triangledown f(4,5)|=|(2*5*4^{-\frac{1}{2}}, 4\sqrt 4)|=|(5,8)|=\sqrt{5^2+8^2}=\sqrt89 in the direction of (5,8).

4 0
3 years ago
Find the measures of the requested angles.
Alex777 [14]

Answer:

d. m<ABD = 50°, m<GBC = 47°, m<EBC = 50°, and m<DBG = 83°

Step-by-step explanation:

m<ABF = 47° (given)

m<FBE = 83°

✍️m<ABD + m<ABF + m<FBE = 180° (angles on straight line)

m<ABD + 47° + 83° = 180° (substitution)

m<ABD + 130° = 180°

Subtract 130 from each side

m<ABD = 180° - 130°

✅m<ABD = 50°

✍️m<GBC = m<ABF (vertical angles)

✅m<GBC = 47° (Substitution)

✍️m<EBC = m<ABD (Vertical angles)

✅m<EBC = 50° (substitution)

✍️m<DBG = m<FBE (vertical angles)

✅m<DBG = 83° (Substitution)

3 0
3 years ago
B + 5/14 <br><br> b = 5/7<br> please help
Tatiana [17]
5/7 + 5/14 = 1.07142857143

you can round that to 1.1
4 0
3 years ago
Read 2 more answers
If (x+2),3x and (4x+1)are in AP find the value of x
Gala2k [10]

Answer:

<u>x</u><u> </u><u>is</u><u> </u><u>3</u>

Step-by-step explanation:

{ \bf{U _{2} - U _{1} = U _{3} -U _{2}  }}

{ \tt{3x - (x + 2) = (4x + 1) - 3x}} \\ { \tt{2x - 2 = x + 1}} \\ { \tt{x = 3}}

8 0
3 years ago
Solve this system and list the method that you chose graphing substitution or elimination Y=2x-12
zmey [24]
Substitution

y = 2x - 12
y = -x + 3

-x + 3 = 2x - 12
+ x + x
-----------------------------
3 = 3x - 12
+ 12 + 12
-----------------------
15 = 3x
------ ------
3 3

x = 5


y = 2(5) - 12
y = 10 - 12
y = -2


The final answer is (5,-2).
8 0
3 years ago
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