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astra-53 [7]
3 years ago
5

On the first day of the year, you have $700 in your bank account. You spend $35 per week. Your friend starts the year with $450

in his bank account. He saves $15 per week. Solve the equation 700 – 35w = 450 + 15w to find out how many weeks, w, it will take for you and your friend have the same amount of money in your accounts
Mathematics
1 answer:
Alex_Xolod [135]3 years ago
7 0

Answer is 5 weeks....

xoxo -Ella

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Simplify 6*3+4+2*3(15)+*2
Angelina_Jolie [31]

Answer:

114.

Step-by-step explanation:

  1. remove parenthesis
  2. multiply the numbers 6 x 3 + 18

18 + 4 + 2 x 3 x 15 + 2

multiply the numbers 2 x 3 x 15 + 90

18 + 4 + 2 + 90 + 2

add the numbers : 18 + 4 + 2 + 90 + 2

= 114!

5 0
3 years ago
part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.​
Nat2105 [25]

Answer:  \bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}

<u>Step-by-step explanation:</u>

Pythagorean Theorem is: a² + b² = c²   , <em>where "c" is the hypotenuse</em>

<em />

9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}

Note: 4² + (8√2)² = hypotenuse²   →   hypotenuse = 12

10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}

Note: 12² + opposite² = 20²   →   opposite = 16

11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}

Note: adjacent² + 5² = 6²   →   adjacent = √11

12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}

Note: adjacent² + 7² = (13√2)²   →   adjacent = 17

5 0
3 years ago
the area of triangle ABC is 28 ft squared what is the area of the parallelogram ABCD 14 ft squared 56 ft squared 112 ft squared
Kazeer [188]

Answer:

56

Step-by-step explanation:

A∆ = BH/2

Area of a parm is BH (base x height) so we multiply area of triangle by 2.

28 x 2 = 56. There you go

6 0
3 years ago
Read 2 more answers
Which phrase describes the algebraic expression 3 x minus 4?
zaharov [31]

Answer:

3x - 4 = -12

Step-by-step explanation:

7 0
3 years ago
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Reason is the value of the first 5 ten times as great as the value of the second 5 in 5045?
vovikov84 [41]

It is not. In the decimal system each column to the right is valued at powers of ten starting at zero and increasing as you move to the left...in a four digit number...the columns are valued at...

10^3, 10^2, 10^1, 10^0 which corresponds to...

1000, 1000, 10, 1 in this case the first digit is equal to

5(1000)=5000 the value of the last digit is 5(1)=5

So the first 5 is 1000 times as great as the second 5...

Hope this helps!

4 0
3 years ago
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