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3 years ago

What is the solution to 1.6m-4.8m=-1.6m?

Mathematics

1 answer:

Aleksandr [31]3 years ago

7 0

Answer:

m=0

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

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Mary mixes white paint and blue paint in the ratio 2:3

Sedbober [7]

Given:

Ratio of white and blue paint is 2:3

Total quantity of paint is 20 litres

To find:

Quantity of blue paint to be mixed so that the ratio of white paint to blue paint becomes 1:7

Solution:

The ratio 2:3 totals 20 that is $2x+3x=20\rightarrow5x=20\rightarrow x=4$

So, the quantity of white paint in the mixture is $2\times4=8$ and the quantity of blue paint in the mixture is $3\times4=12$

Now, to get the final ratio as 1:7, Mary should have $7\times8=56 \text{ litres }$ of blue paint. So, she need to add $56-12=44 \text{ litres}$ .

Therefore, Mary has to add 44 litres of blue paint to the mixture to make the ratio as 1:7.

3 0

3 years ago

How do I solve for x?

NISA [10]

Write and solve an equation of ratios based upon the fact that the small and large triangles shown are similar:

5 6
---- = ---------
14 6 + x

Then 30 + 5x = 84, and 5x = 54, and so x = 54/5, or 10.8, or 10 4/5.

5 0

3 years ago

Can someone help me solve this again? By using substitution method..

Shalnov [3]

Answer:

x = 7 and y = -2

Given:

x = 5y + 17 _____first equation

2x + 3y = 8 ____second equation

Steps:

2x + 3y = 8

plug in x = 5y + 17 into second equation

2(5y + 17)+3y = 8 [ open the brackets ]

10y + 34 + 3y = 8

10y + 3y = 8 - 34 [ collect and group terms ]

13y = -26 [ divide both sides by 13 ]

y = -2 [ final answer ]

solve for x:

x = 5y + 17

x = 5(-2) + 17

x = 7

6 0

2 years ago

Read 2 more answers

write an equation to represent the relationship, and find the amount of peanut butter used to make 25 cracker packages. the tabl

Nadusha1986 [10]

We are given 4 points.

$(\frac{1}{2},2)$

$(\frac{5}{8},\frac{5}{2})$

$(\frac{3}{4},3)$

$(\frac{7}{8},\frac{7}{2})$

Using this, we can make an equation.

$y=4x$

I got $m=4$ by using the slope formula.

$m=\frac{2.5-2}{0.625-0.5}$

$m=\frac{0.5}{0.125}$

$m=4$

So the equation we have is $y=4x$

Now, we can solve for how much peanut butter is used to make 25 packages by plugging in 25 for $y$ , which is the number of cracker packages.

$25=4x$

$x=\frac{25}{4}$

We need to use $\frac{25}{4}$ teaspoons of peanut butter to make 25 packages of crackers.

Hope this helps.

頑張って!

4 0

4 years ago

pashok25 [27]

To answer this, set up a system of equations. What we know is that

5x + 2y = 100
And...
x+y=38

x represents the unknown number of 5 points questions
y represents the unknown number of 2 point questions

In my opinion the easiest way to solve this is to use substitution (that is when you find out the value of one variable, either x or y, and substitute that value as the variable).

So,

x+y=38

Subtract x from both sides

y=38-x

Now, plug (38-x) in as y in the other equation.

5x + 2(38-x) = 100
5x + 76-2x= 100
3x+76=100
3x=24
x=8

Now that you know that x=8, you can solve for y.

5x+2y=100
5(8)+2y=100
40+2y=100
2y=60
---- ------
2 2
y=30

X=8
Y=30

There are 8 five point questions on the test and 30 two point questions on the test

8 0

3 years ago