MATHEMATICS MIDDLE SCHOOL

What is the x-intercept for the equation -2x + 5y = -10

Answers

Answer 1
Answer:

Answer:

The x-intercept is at the point (5,0).

Step-by-step explanation:

-2x + 5y = -10

At the x intercept y = 0 so we substitute y = 0 into the given equation:

-2x + 5(0) = -10

-2x = -10

x = 5.
Answer 2
Answer:

Answer:

x = 5

Step-by-step explanation:

In order to get the x-intercept of an equation, you need to set the y value equal to 0:

-2x + 5(0) = -10

-2x  =-10

x = 5

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at the factory, a baseball card is placed in every 9th package of cereal. A football card is placed in every 25th packge of the cereal. what is the first package that gets both a baseball card and a football card?at exactly

Answers

The first package that gets both a baseball card and a football card is 225th package.

It is required to find the first package that gets both a baseball card and a football card.

What is arithmetic?

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

We have to find the value of first package that gets both a baseball card and a football card .

The multiples of 9 and 25 and the common multiple is the solution.

9 = 9, 18, 27, 36, 45, .... 225

25 = 25, 50, 75, 100, 125, 150.... 225

Therefore , the first package that gets both a baseball card and a football card is 225th package.

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Answer: 225th package


Step-by-step explanation:

look for the first number where both 25 and 9 are a factor of.

25*1 is 25 which isn't a factor of 9, so it won't be 25.

25*2 is 50, which isn't a factor of 9.

75 is not a factor of 9. (you know because you don't get a whole number when you divide 75 into 9.)

100 is not a factor of 9, nor is 125, 150, 175, or 200.

However, 225 is a factor of both 25 and 9. This makes sense because 25*9 is 225.

This means that the first package with both will be the 225th package.

I don't get # 2 please help and fast

Answers

I wouldn't say that.  It looks to me like you've absolutely got it ... almost.

A).  Your fraction is correct.  But it's not in simplest form like they want it.
Reduce  18/45  to simplest form.  Hint:  Divide top and bottom by 9 .

B).  They want the percentage that's the same as  18/45 .
Do you remember how to change a fraction to percent ?
A fraction is just a short way to say "division".
" 18/45 " means " 18 divided by 45 ".
Do the division.  To change the quotient into percent, multiply it by 100 .
(Same as moving the decimal point 2 places to the right.)
Round it the nearest whole number, if it isn't already a whole number.

C).  Again, your fraction is correct, but it isn't in simplest form.
Reduce  27/45  to simplest form.   Hint: Divide top and bottom by 9 again.

D).  Change this fraction to percent, just like you did for the female fraction.
(Do the division that the fraction says, and multiply the quotient by 100.) 
(Round to the nearest whole number percent if it isn't already.)

You already did the technical stuff.  I just added some mechanical things.

HELP me plz
I'm in year 9 in England and I got this question. I have no idea what to do

Answers

sum of two consecutive terms is 145
let the numbers be the nth and (n+1)th term

nth term = 5n+10
(n+1)th term = 5(n+1)+10 = 5n+5+10 = 5n+15

5n+10 + 5n+15 = 145
⇒ 10n + 25 = 145
⇒ 10n = 145-25 = 120
⇒ n = 120/10 = 12

terms are:
5n+10 = 5 x 12 + 10 = 70
5n + 15 = 5 x 12 + 15 = 75

Between which two consecutive integers does 53 lie?

Answers


52 and 54. Integers are whole numbers meaning 1..4..7..17...25 and so on. Consecutive meaning one right after the other. So 52 and 54 are the answer. 

A trampoline has an area of 49pi square feet what's the diameter of the trampoline

Answers

Area of a circle is π*r²
sub what we're given 
49π= πr²
49π= π*r²
r²= 49π/π
r²=49
r=7
The diameter is twice the radius therefore the diameter is 14 units

4. Please help. If PG=−x+10, and GO=−3(x+2), what is the length of PO⎯⎯⎯⎯⎯⎯⎯⎯?

Answers

Answer:36

Step-by-step explanation:

Set PG=GO

-x+10 = -3x-6

Solve for x: x= -8

PG+GO=PO

-x+10-3x-6=PO

combine like terms: -4x+4= PO

Substitute your x value (-8) for x

-(-8)+10-3(-8)-6= 36

PO= 36

Final answer:

The length of line segment PO can be found by adding the lengths of line segments PG and GO. This results in a final equation of PO = -4x + 4.

Explanation:

In mathematical problems involving geometrical shapes, it is common to solve for lengths and distances. To determine the length of PO, we have to sum the lengths of PG and GO because, in a straight line, the total distance from point P to point O is the sum of segment PG and segment GO: PO = PG + GO.

Substitute the given equations into this expression to get: PO = (-x + 10) + (-3(x+2)). Simplifying this we get PO = -x + 10 -3x -6, and by combining like terms, we find that PO = -4x +4.

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