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lukranit [14]
3 years ago
11

Find the equation of a line that runs through

Mathematics
1 answer:
Alborosie3 years ago
8 0

Answer:

Step-by-step explanation:

equation of a line

y - y1 = m(x -x1)

where (x1, y1) is a point on the line and m is the slope

since it is parallel to the line 3x + y = -7, put in y = mx + b form to find the slope

y = -3x - 7, therefore m = -3

y - 1 = -3(x - 2)

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1. Elissa is buying a new car. She has an excellent credit score of
k0ka [10]

Answer:

$273.38 per month

Step-by-step explanation:

<u>Monthly Payment Formula</u>

\sf PMT=\dfrac{Pi(1+i)^n}{(1+i)^n-1}

where:

  • PMT = monthly payment
  • P = loan amount
  • i = interest rate per month (in decimal form)
  • n = term of the loan (in months)

Given:

  • P = $19,500 - $4,000 = $15,500
  • i = 2.25% / 12 = 0.0225 / 12
  • n = 5 years = 60 months

\implies \sf PMT=\dfrac{15500 (\frac{0.0225}{12})(1+\frac{0.0225}{12})^{60}}{(1+\frac{0.0225}{12})^{60}-1}

\implies \sf PMT=273.3788438

\implies \sf PMT=\$273.38

7 0
2 years ago
Can someone help me with question 3
djyliett [7]

2. Alana needs to sell 52 boxes of cookies:

She sold 7 boxes to her aunt

She sold 2 boxes to her mother

She sold 15 boxes to her neighbor

you add 7+2+15 = 24 boxes of cookies that she sold

We need to find out how many more boxes of cookies she needs to sell-

We take the 24 boxes she sold and subtract from 52 boxes that she needs to sell.

24 - 52 = 30

The answer is 30, she needs to sell 30 more boxes.

------------------------------------------------------------------------------------------------------------

3.  Sam, Jimmy and Andre shared a number of pennies in the ratio 8:5:3

Sam (8), Jimmy (5) and Andre (3)

How many more pennies did Jimmy receive than Andre?

you subtract 3 - 5 = 2

The answer is 2 more pennies.

-------------------------------------------------------------------------------------------------------------

4. Jamila spent $33.00 and Akiko spent $ 42.00  

Jamila  had 4 times as much money left as Akiko. How much money did each of them have in the beginning?

Since Akiko spent the highest amount- you will have to go with the higher amount to find the answer

4 x $42.00 = $168.00

They both in the beginning had $168.00

I hope this helps.



3 0
4 years ago
The perimeter of a triangle is not greater than 12 and the lengths of sides are natural numbers.
weqwewe [10]

Answer:

3 triangles

Step-by-step explanation:

Perimeter of triangle = a + b + c

Given that :

P = 12

and a, b, c are natural numbers

Let :

Side A = a

Side B = b

Side C = 12 - (a + b)

Side A + side B > side C - - - (condition 1)

a + b > 12 - (a + b)

a + b > 12 - a - b

a + a + b + b > 12

2a + 2b > 12

2(a + b) > 12

a + b > 6

Side A - side B < side C

a - b < 12 - (a + b)

a - b + a + b < 12

2a < 12

a < 6

b < 6 (arbitrary point)

Going by the Constraint above :

The only three possibilities are :

(2, 5, 5)

(3, 4, 5)

(4, 4, 4)

Total number of triangle = 3

Equilateral triangle (all 3 sides equal) = (4, 4, 4) = 1

Isosceles triangle (only 2 sides equal) = (2, 5, 5) = 1

3 0
3 years ago
3. Armani has $7.00 in her purse consisting of nickels, dimes, and quarters. The total
True [87]

Answer:

700=700

Step-by-step explanation:

3 0
3 years ago
I bought a box of granola bars at the store that has a volume of 210 cubic centimeters
Naya [18.7K]

Answer:

a and c

Step-by-step explanation:

The volume (V) of a cuboid is

V = lwh ( l is length, w is width, h is height )

The volume is given as 210 cm³

Check each of the dimensions given to determine which give the correct volume

a

V = 15 × 2 × 7 = 210 ← correct volume

b

V = 14 × 3 × 7 = 294 ← incorrect volume

c

V = 7 × 3 × 10 = 210 ← correct volume

Hence a and c  could be the dimensions of the box


6 0
3 years ago
Read 2 more answers
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