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3 years ago

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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Answer:

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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°

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m<ABD = 180° - 130°

✅m<ABD = 50°

✍️m<GBC = m<ABF (vertical angles)

✅m<GBC = 47° (Substitution)

✍️m<EBC = m<ABD (Vertical angles)

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✅m<DBG = 83° (Substitution)

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3 years ago

B + 5/14 b = 5/7 please help

Tatiana [17]

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3 years ago

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Gala2k [10]

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Step-by-step explanation:

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

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3 years ago

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zmey [24]

Substitution

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

-x + 3 = 2x - 12
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The final answer is (5,-2).

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