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tigry1 [53]
3 years ago
13

Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $14 for every 400 envelops she finish

es. Jason earns $9 for every 300 envelopes he finishes.
Suppose Jason had savings pf $100 from the beginning summer. How many envelopes domJason and Anna need to stuff for thier savings to be equal. What are thier savings?
Mathematics
1 answer:
Sergio [31]3 years ago
8 0

Answer:

Q1:  20,000 envelopes

Q2: Savings = $700

Step-by-step explanation:

Let the number of envelopes stuffed by each be "x"

We can create 2 equations, each for Anna and Jason, equate them and find our answer.

<u>For Anna:</u>

$14 for 400, so

14/400 = $0.035 PER ENVELOPE

Savings for Anna is  0.035x

<u>For Jason:</u>

Already has 100 (fixed)

Gets $9 for 300 envelopes, so

9/300 = $0.03 PER ENVELOPE

Savings for Jason is  100 + 0.03x

We equate and solve for x:

0.035x=100+0.03x\\0.005x=100\\x=20,000

So, For both their savings to be equal, they need to stuff 20,000 envelopes

Their savings would be:

0.035x

or 100 + 0.03x

We can plug in x = 20,000 in any one equation, the answer would be same.

So,

0.035(20,000) = $700

savings = $700

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Answer:

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Step-by-step explanation:

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Two angles are complementary angles if the sum of their measure is 90 degrees. Angle A and angle B are complementary angles, and
Marta_Voda [28]
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

We will be using simultaneous equations to solve this problem.

First we will establish the equations which we will be using as displayed below:

Equation No. 1 -

A + B = 90°

Equation No. 1 -

A = 2B + 12

To begin with, let's make ( A ) the subject in the first equation as displayed below:

Equation No. 1 -

A + B = 90

A = 90 - B

Next we will substitute the value of ( A ) from the first equation into the second equation and solve for ( B ) as displayed below:

Equation No. 2 -

A = 2B + 12

( 90 - B ) = 2B + 12

- B - 2B = 12 - 90

- 3B = - 78

B = - 78 / - 3

B = 26°

Then we will substitute the value of ( B ) from the second equation into the first equation to solve for ( A ) as displayed below:

A = 90 - B

A = 90 - ( 26 )

A = 64°

ANSWER:

Therefore, the answer is:

A = 64°

B = 26°

Please mark as brainliest if you found this helpful! :)
Thank you <3
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2 years ago
Evaluate g(n- 7) if g(x) = x^2-6/7x
noname [10]

Step-by-step explanation:

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YALL PLEASE HELP FRFR
Arturiano [62]

First of all, let's note the sales tax rates in each town. In Washington, we know it's 6%. In the town in Virginia, it's 5%. In the town in Maryland, it's 9%.

Let's figure out the total taxes in every town by applying the sales tax rate for each town.

To add percents to a whole number, we always multiply using 0.XX (example: to add 1% to a the number 100, we would multiply 100*0.01 and get the answer 1. We'd then add the 1 to the original number, 100, and get 101.)


In this case, we need to multiply the $1000 by the sales tax in Washington, 6%.

1000 x 0.06 = 60. Now, we add the 60 to the original number (1000), and get 1060. Now we know the total tax in Washington on the computer will be $60, and the total price we will pay is $1060.00


For Virginia, the sales tax is 5%. Let's add the 5% using the same method we used in the equation above.

1000 x 0.05 = 50. Now, add the 50 to the original 1000, and we get 1050. Now we know that the total tax in Virginia is going to be $50, and the total price that we'll pay in Virginia is $1050.00.


On to the final town, Maryland. In Maryland, the sales tax rate is 9%. Let's use the same formula again.

1000 * 0.09 = 90. Now that we have the 90, we add it to the original 1000, and we get 1090. In Maryland the total sales tax will be $90, and the total price we'll pay is $1090.00.


Now, let's complete the question by answering the 3 parts.


To spend the least amount total Amir should buy the computer in Virginia ($1050.00).

Amir would pay the most sales tax in Maryland ($90.00).

Amir would pay $60 sales tax in Washington, DC.


I hope this answer was in depth enough to help you out so that you can do this on your own in the future. :)

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Read 2 more answers
John wants to measure the width of a stream using the methods he has learned in geometry. He puts a stake in the ground opposite
otez555 [7]

John's method to determine the width of the stream uses the knowledge

that the tangent of 60° is approximately 1.7.

The proper sequence John would use to find the width of the stream are;

  • Step 1; <u>John</u><u> drives a stake opposite the tree to establish a line between two points</u>

  • Step 2; <u>John uses a </u><u>compass </u><u>to walk away from the stakes at a right angle</u>

  • Step 3; <u>On the path John walks until he finds a </u><u>line </u><u>of sight to the tree that equals 60 degrees</u>

  • Step 4; <u>John drives a second </u><u>stake </u><u>in the ground</u>

  • Step 5; <u>John measures the the </u><u>distance </u><u>between the two stakes</u>

  • Step 6; <u>John </u><u>multiplies </u><u>the distance between the two stakes by</u><u> 1.7</u><u> to find the distance</u>.

Reasons:

The steps that can be used to measure the width of the stream are;

Step 1: Drive a stake opposite the tree on the other side of the stream.

Step 2: With the aid of a compass, walk at right angles to the line formed by the stake and the tree.

Step 3; Keep walking along the previous path till a point is reached where the angle formed between the line of site to the tree and the walk path is 60°.

Step 4; At the point where the line of sight to the tree is 60°, a second stake is driven in the ground.

Step 5; Measure the distance between the stakes that are placed in the ground.

Step 6; Given that by trigonometry, the ratio of the width of the stream to the distance between the two stakes is tan(60°) ≈ 1.7, multiply the distance between the two stakes by 1.7 to find the width of the stream.

\displaystyle tan(60^{\circ}) = \mathbf{\frac{Width \ of \ stream}{Distance \ between \ stakes}}

<em>The possible question options are;</em>

<em>John measures the the distance between the two stakes</em>

<em>John uses a compass to walk away from the stakes at a right angle</em>

<em>John multiplies the distance between the two stakes by 1.7 to find the distance</em>

<em>John drives a second stake in the ground</em>

<em>On the path John walks until he finds a line of sight to the tree that equals 60 degrees </em>

<em>John drives a stake opposite the tree to establish a line between two points.</em>

Learn more about trigonometric ratios here:

brainly.com/question/13276558

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