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2 years ago

4(m - 3) = 36 PLEASE STEP BY STEP EXPLANATION IN WORDS!

Mathematics

2 answers:

Helen [10]2 years ago

4 0

Answer: 12

Step-by-step explanation:

asambeis [7]2 years ago

3 0

You have to distribute. after you distribute you should have 4m-12=36. 4 times 12 equals 48. then you subtract the 12 and you get 36. so m equals 12. i haven’t done this in awhile so sorry i cant explain it

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Mr eliot is extremely careful with his money. He recently invested part of his $150,000 life savings in gold bullion and the res

DIA [1.3K]

Answer:

The amount invested in gold bullion by Mr. Eliot = $50,000

Step-by-step explanation:

Total amount of savings Me. Eliot ha s = $150,000

Let us assume the amount invested in gold bullion = $m

So, the amount invested in bank = $150,000 - m

Now, 5% on m = $\frac{5}{100} \times m = 0.05 m$

So, the profit in gold bullion = 0.05 m

and 3% on (150,000 -m) = $\frac{3}{100} \times (150,000 -m) = 0.03 (150,000 -m)$

= 4,500 - 0.03 m

So, the profit in bank = 4,500 - 0.03 m

Now, the total profit = $5,500

⇒Profit from gold bullion + ban = $5,500

⇒0.05 m + 4,500 - 0.03 m = $5,500

or, 0.02 m = 1000

⇒ m = 1000/0.02 = 50,000

Hence, the amount invested in gold bullion = m = $50,000

3 0

2 years ago

JKL is a straight line.

kirza4 [7]

Answer:

x = 32°

Step-by-step explanation:

∆KLM is an isosceles triangle because it has two equal sides, KL & KM. Therefore, the angles opposite to each of the two equal sides, which are referred to as the base angles are congruent to each other.

m<KML = m<KLM = 58°

m<MKL = 180 - (58 + 58) (Sum of triangle)

m<MKL = 64°

m<JKM = 180 - m<MKL (linear pair theorem)

m<JKM = 180 - 64 (Substitution)

m<JKM = 116°

∆JKM is also an isosceles triangle with two equal sides. Therefore, it's based angles (x & <J) would also be equal to each other.

Thus:

x = ½(180 - m<JKM)

x = ½(180 - 116) (Substitution)

x = 32°

3 0

2 years ago

Factorise the following 27 x minus 9 y

dangina [55]

Answer:

27x-9y

3(9x-3y)

Step-by-step explanation:

please mark me as brainlest

4 0

1 year ago

Determine the intercepts of the line. y = 5 x − 1 3 y=5x−13

sweet-ann [11.9K]

Y-intercept = -13
x-intercept = 2.6 or 2 3/5
-13 is the y-intercept. In the equation, y=mx+b, b is the y-intercept. Looking at the equation, y=5x-13, we can see that -13 is in the place of b, therefore -13 is the y-intercept.
() is the x-intercept. To find the x-intercept, you need to replace values into the equation. Since the coordinates for the x-intercept consist of y being 0, you must replace y in the equation. with 0.
0=5x-13
Get rid of the -13 by adding it onto both sides. -13 is negative and the opposite of a negative is positive, thus making you add to get rid of -13.
0=5x-13
+13 +13
13=5x
Now you divide 5 from both sides to get rid of 5. The opposite of multiplication is division, so you must divide the 5 from 5x to isolate the x.
13/5=5x/5
2.6 or 2 3/5=x
Therefore the coordinates (2.6,0) represent the x-intercept, or just 2.6.

I hope this helped.

6 0

2 years ago

#14 two cars start from the same point, at 11:05 am, traveling in opposite directions at 45 and 24 mph, respectively. At what ti

noname [10]

The cars travel at a 21MPH difference, so if we divide 460 by 21, we get 21.9

Answer: 21.9 hours

3 0

2 years ago