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Rina8888 [55]
3 years ago
7

Gia receives an allowance of $2 a week and already has $20 in savings. Michael receives an allowance of $3 a week and already ha

s $5 in savings. Gia and Michael both save their entire allowance. After how many weeks, will Gia and Michael have the same amount in savings? How much money will they have?
Mathematics
1 answer:
Tamiku [17]3 years ago
6 0

Answer:

After 15 weeks, Gia and Micheal will both have $50 in savings.

Step-by-step explanation:

For Gia:

We start at $20 since she already has $20 in savings, we will add that to how much Gia will receive in 15 weeks.

Gia receives $2 a week and therefore in 15 weeks she will have $50.

= 2x15 = $30

= 30+20 =  $50

For Micheal:

We start at $5 since he already has $5 in savings, we will add that to how much Micheal will receive in 15 weeks.

Micheal receives $3 a week and therefore in 15 weeks he will receive $50

= 3x15 = $45

= 5+45 = $50

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Answer:

1

Step-by-step explanation:

||3-7| - |-6+3||

||-4|- |-3||

|4-3|

|1|

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3 years ago
Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl
Arlecino [84]

Answer:

  A.  3.66 feet

Step-by-step explanation:

Using trigonometry, we know that ...

  BC = DC·tan(30°)

  AC = DC·tan(45°)

  AB = AC -BC = DC(tan(45°) -tan(30°))

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3 years ago
Part B
Troyanec [42]

Answer:

Part A) The length of a straight line between the school and the Fire Station is 4.6\ miles

Part B) The length of a straight line between the school and the hospital is 2.1\ miles

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

Let

The positive x-coordinates ----> East

The positive y-coordinates ----> North

The negative x-coordinates ----> West

The negative y-coordinates ----> South

take the point A (0,0) as the Middle School (reference point)

Part A) we have

Town Hall is located 4.3 miles directly east of the Middle School

so

The coordinates of Town Hall are B(4.3,0)

The Fire Station is located 1.7 miles directly North of Town Hall

so

The coordinates of Fire Station are C(4.3,1.7)

What is the length of a straight line between the school and the Fire Station?

Remember that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(0,0) and C(4.3,1.7)

substitute

d=\sqrt{(1.7-0)^{2}+(4.3-0)^{2}}

d=\sqrt{(1.7)^{2}+(4.3)^{2}}

d=4.6\ miles

Part B) we have that

The hospital is 3.1 miles west of the fire station

so

The coordinates of the hospital are D(4.3-3.1,1.7)

D(1.2,1.7)

What is the length of a straight line between the school and the hospital?

Remember that

the formula to calculate the distance between two points is equal to

d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}

we have

A(0,0) and D(1.2,1.7)

substitute

d=\sqrt{(1.7-0)^{2}+(1.2-0)^{2}}

d=\sqrt{(1.7)^{2}+(1.2)^{2}}

d=2.1\ miles

7 0
3 years ago
What would be the first step to slove the system of equations 2x-9y=6 and 4x-3y=-7
Nana76 [90]
If there are choices, then you  need to choose the correct choice, but if there are no choices, then one correct answer is to multiply the first equation by -2 and add it to the second equation to eliminate x and solve for y.
5 0
3 years ago
Read 2 more answers
Does anybody know the answer to this?
faust18 [17]

Answer:

C (136)

Step-by-step explanation:

The triangle is only rotated, the measure of <D doesn't change

4 0
3 years ago
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