MATHEMATICS HIGH SCHOOL

What is the value of y in the equation 6.4x + 2.8y = 44.4, when x = 3? y = 5 y = 6 y = 8 y = 9

Answers

Answer 1

Answer:

Answer:

y=9

Step-by-step explanation:

6.4x + 2.8y = 44.4

x=3, y=?

6.4*3+2.8y= 44.4
2.8y= 44.4- 19.2
2.8y= 25.2
y= 25.2/2.8
y= 9

Answer 2

Answer:

Step-by-step explanation:

6.4x + 2.8y = 44.4

x=3, substituting it in the expression above we have :

6.4(3) + 2.8y = 44.4

19.2 + 2.8y = 44.4

2.8y = 44.4 -19.2 = 25.2

y = 25.2 / 2.8 = 9

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CAN SOMEONE HELP ME PLZZ

7x-8x+4=5x-2 solve for x

Answers

7x - 8x + 4 = 5x - 2

7x - 8x - 5x = -2 - 4

-6x = -6

x = 1

$7x-8x+4=5x-2 \n 4+2=5x-7x+8x \n 6=6x \n 6/6=x \n 1=x$

Which expression represents "the sum of 3 and n"a. n + 3
b. n3
c. 3n
d. n + n + n

Answers

Answer:

Option (a) is correct.

n + 3 represents the given expression "the sum of 3 and n" correctly.

Step-by-step explanation:

Given : Expression "the sum of 3 and n"

We have to choose the correct option from the given options that represents the given expression "the sum of 3 and n" correctly.

Consider the given expression "the sum of 3 and n"

We know the mathematical symbol for sum is '+'

So, The sum of 3 and n is written mathematically as 3 + n

Thus, n + 3 represents the given expression "the sum of 3 and n" correctly.

The answer would be A, yet if this was for homework or a test, you would write it out as "3 + n".

The charge of ISD from Biratnagar to Tokyo is Rs 125 for the first 3 minutes and Rs 15 for every additional 10 seconds. If a man made a call from Biratnagar to his friend in Tokyo and paid Rs 305, how long did he make a call

Answers

We know he talked for over 3 minutes since the total is 305 which is > 125 (the cost of 3 minutes). The remaining amount he paid is 305-125= 180. He was charged 15 per 10 seconds which amounted to 180. 180/15=12 which means he was charged 12 times. Each time charged it was because he took 10 seconds so in total he took 12x10= 120 second. That’s 2 minutes. The two minutes he was charged 15s plus the first 3 minutes he was charged 125 is 5 minutes. We can plug in the numbers to make sure we are right. If he talked for 5 minutes then we know for the first three he was charged 125 and the additional two he was charged 15s (s representing 10 seconds). We can put the 125 aside for now to figure out the 15s. If he took two minutes then he took 120 seconds. Divide that by 10 because he’s getting charged per 10 seconds not per second so that’s 12. 15(12) is 180. 125 + 180 is 305

*** he took five minutes talking on the phone***

The midpoint of the sides of triangle ABC are labeled D, E, and F. If the perimeter of triangle DEF is 24 find the perimeter of triangle ABC.A.48
B.72
C.96
D.120

Answers

Ok well the only thing that makes since to me is that the triangle is a Equilateral Triangle, so all the sides are going to be the same. And if the perimeter is 24, then you divide that by 3, and you get 8. And if DEF is the midpoints of triangle ABC, then DEF is an upside down triangle in the triangle ABC. So all the sides of ABC are double whatever DEFs are. And DEFs were 8, so 8 times 2 is 16. And to get the perimeter you add that together 3 times and you get 48. So i'm not sure exactly how you would do this, but i'm pretty sure this is the way. If not i'm sorry i couldn't help. :(

Linking the midpoints of each side of a triangle cuts it into four smaller, mathematically similar versions of itself, the central of which is reflected vertically - ALWAYS. Therefore, the area scale factor of the new, smaller triangle to the original larger triangle, is 4. $√(4)$ would give the linear scale factor (the nth route of the area scale factor, where n is the dimension of operation), which is 2.
The original triangle must have a perimeter twice as long as the smaller triangle.
A - 48 $√(4)$

The gross salary was increased twice during the year. First by 8%, then again by 10%.Its final amount was 10,098. Calculate the amount of the original gross salary.

Answers

Answer:

$8,500

Step-by-step explanation:

Let the original gross salary be "X" dollars.

First, it was increased by 8%, which can be calculated as 1.08 times the original salary:

1.08 * X

Then, this new amount was increased by 10%, which can be calculated as 1.10 times the previous amount:

1.10 * (1.08 * X)

The final amount is given as $10,098:

1.10 * 1.08 * X = 10,098

Now, solve for X:

1.188 * X = 10,098

Divide both sides by 1.188 to find X:

X = 10,098 / 1.188

X ≈ 8,500

So, the original gross salary was approximately $8,500.

Show how to solve 378*6 using place value with regrouping. Explain how you knew when to regroup.

Answers

To regroup 378 x 6, you must first establish the place values of each digit. 3 has a place value of 300, because it is in the hundreds column; 7 has a place value of 70 because it is in the tens column; 8 has a place value of 8 because it is in the units column. This means you can regroup 378 x 6 as (300 x 6) + (70 x 6) + (8 x 6). This makes 2,268.

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