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klemol [59]
4 years ago
8

!100! POINTS PLEASE HELP ME BRAINLIEST!!!!!!!!!!!!

Mathematics
2 answers:
Allisa [31]4 years ago
7 0
This should be a basic system of equations problem
-------------
12x + 4y = 152
32x + 12y =420
-----------------------
First solve 12x + 4y = 152 for x
Add -4y to each side
<span>12x+4y+-4y</span>=<span>152+-<span>4y
</span></span>12x=-<span>4y+<span>152
</span></span>----------------------------
Divide each side by 12
12x ÷ 12 = \frac{-4y+152}{12}
x = -1/3y + 38/3
============================================================
Substitute -1/3y + 38/3 for x in 32x+12y=<span>420
</span>32(-1/3y + 38/3)+12y=420
-------------
Simplify each side
4/3y + 1216/3 = 420
-------------------
Add -1216/3 on each side
4/3y + 1216/3 + -1216/3 = 420 + -1216/3
4/3y = 44/3
-------------------------
Divide each side by 4/3
4/3y ÷ 4/3 = 44/3 ÷ 4/3
y = 11
y = 11 is your answer
Mademuasel [1]4 years ago
6 0

Answer:

y = 11 is your answer

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a person pays a loan of Rs. 3900 in monthly installments each in installment being less than the former by Rs. 20 ,the amount of
musickatia [10]

Answer:

15 installments

Step-by-step explanation:

3900 = Σ \left \ {{x=n} \atop {x=1}} \right.   400 - 20*(n - 1)

4 0
2 years ago
If 49x2 + 28x - 10 is rewritten as p2 + 4p -10, what is p in terms of<br> p=
madam [21]

Answer:

p=7x

Step-by-step explanation:

49x^[2] + 28x - 10 = p^[2] + 4p -10

This equation is in the form a^[2]x + bx + c.

<u><em>The 'c' is common for both equations, this means the 'a' and 'b' must also be common. </em></u>

There are two ways to find p: 'a' or 'b'

<u>a method</u>

49x^[2] = p^[2]

=> The square root of both sides = 7x = p

<u>b method</u>

28x = 4p

28x/4 = 4p/4

7x = p

6 0
3 years ago
One staple weighs 31 milligrams. If a box of staples holds 250 staples, how many grams of staples does the box hold?
lilavasa [31]

Answer:

7.75

Step-by-step explanation:

1 mg = 0.001 g

31 mg * 0.001 = 0.31 grams per staple

0.31 g * 250 = 7.75 grams per 250 staples

8 0
3 years ago
Read 2 more answers
Triangle ABC is congruent to triangle DFE. Find x.
Archy [21]

ΔABC ≡ ΔDFE

⇒ line EF = BC

.

<u>Solve x:</u>

3x - 4 = 20

3x = 24

x = 8

.

Answer: x = 8

4 0
3 years ago
What is the length of line segment KJ?
Karolina [17]

Please consider the attached file.

We can see that triangle JKM is a right triangle, with right angle at M. Segment KM is 6 units and segment MJ is 3 units. We can also see that KJ is hypotenuse of right triangle.

We will use Pythagoras theorem to solve for KJ as:

KJ^2=KM^2+MJ^2

KJ^2=6^2+3^2

KJ^2=36+9

KJ^2=45

Now we will take positive square root on both sides:

\sqrt{KJ^2}=\sqrt{45}

KJ=\sqrt{9\cdot 5}

KJ=3\sqrt{5}

Therefore, the length of line segment KJ is 3\sqrt{5} and option D is the correct choice.

5 0
4 years ago
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