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3 years ago

The size of a jar of coffee is increased by 1/5. The new size is later reduced by 1/5.

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

3 0

Answer:

The new jar is smaller.

Step-by-step explanation:

Like what the statements says, the normal size of coffee is reduced by 1/5 and it become as the new jar which is smaller than the original.

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Could someone pls explain this step by step? Really simplify it pls because I don't understand it at all.

Lunna [17]

Answer:

y = 2x -6
y = -x +2
y = 4/5x -2
y = -3/2x +4

Step-by-step explanation:

The slope-intercept form of the equation for a line is ...

y = mx +b . . . . . where m is the slope, and b is the y-intercept

For these equations, writing them in slope-intercept form means "solve for y." You always do any "solve for ..." problem by undoing the operations that are done to the variable. Addition is undone by adding the opposite. Multiplication is undone by division.

As always, whatever operation we perform on one side of the equal sign must also be performed on the other side. That is how the equal sign remains valid.

1/2y = x -3

All we need to do is get rid of the coefficient of y. We can do that by dividing by 1/2, or multiplying by 2. The latter is easier to see, perhaps.

2(1/2y) = 2(x -3)

y = 2x +2(-3)

y = 2x -6

x +y = 2

Here, we need to undo the addition of x. We do that by adding (-x) to both sides of the equation.

-x +x +y = -x +2

y = -x +2

4x -5y -10 = 0

This is a combination of the above operations. We can separate the y-term from the others by either subtracting the others, or adding the opposite of the y-term. We choose the latter, because that will give a positive coefficient for y. Adding 5y to both sides gives ...

4x -5y +5y -10 = 5y

5y = 4x -10 . . . . . . . . simplify and put y on the left

Now, we need to divide by the coefficient of y. We do that to both sides of the equation.

5y/5 = (4x -10)/5

y = 4/5x -10/5

y = 4/5x -2

3x = -2y +8

We have a constant with the y-term. To get rid of it, we add its opposite to both sides.

3x -8 = -2y +8 -8

3x -8 = -2y

As before, we divide by the coefficient of y:

(3x -8)/(-2) = (-2y)/(-2)

-3/2x +4 = y

y = -3/2x +4

3 0

1 year ago

SOS if anyone could help that would be appreciated!!!❤️

Anastaziya [24]

Answer:

See below

Step-by-step explanation:

$2e)15-4x=10x+45$

Solve:

$15-4x=10x+45\\-4x-10x=45-15\\-14x=30\\ \boxed {x=-\dfrac{15}{7}}$ $3(x+1)=21$

Check:

$15-4 \left(-\dfrac{15}{7} \right)=10\left(-\dfrac{15}{7} \right)+45$

$15+\dfrac{60}{7} \right)=-\dfrac{150}{7} +45$

$\dfrac{210}{7} =30$

$30=30$

$3a) 3(x+1)=21$

Solve:

$3(x+1)=21\\3x+3=21\\3x=18\\x=6$

$3b) 2+3(x+1)=6x$

$2+3x+3=6x\\5=3x\\$

$x=\dfrac{5}{3}$

$3c) -2(2x-3)=-2$

Solve:

$-2(2x-3)=-2\\-4x+6=-2\\-4x=-8\\x=2$

3 0

2 years ago

Sergeu [11.5K]

Answer:

5 pints per hour.

Step-by-step explanation:

Morning:

Given:

Number of strawberries packed in every 4 minutes = 3

∴ Number of strawberries packed in every one minute = $\frac{3}{4}$

So, number of strawberries packed in every 60 minutes = $\frac{3}{4}\times 60=45$

1 hour = 60 minutes.

So, strawberries are packed at a rate of 45 pints per hour in the morning.

Afternoon:

Number of strawberries packed in every 3 minutes = 2

∴ Number of strawberries packed in every one minute = $\frac{2}{3}$

So, number of strawberries packed in every 60 minutes = $\frac{2}{3}\times 60=40$

1 hour = 60 minutes.

So, strawberries are packed at a rate of 40 pints per hour in the afternoon.

Difference between the packing rates is given as:

Morning rate - Afternoon rate = 45 - 40 = 5 pints per hour.

So, she packed 5 more pints in one hour in the morning than in the afternoon.

3 0

3 years ago

Lynette buys candy at the grocery store. she gives half of the pieces to her son and 2 pieces to her daughter. if she has 4 piec

nevsk [136]

Let Lynette has originally candies in hand = x

She gave half to her son means x/2 given to son.

2 candies gave to daughter and left with 4.

x - x/2 - 2 = 4

adding 2 both sides

x - x/2 - 2 + 2 = 4 + 2

x - x/2 = 6

x /2 = 6

x = 12

Means she have 12 candies originally : Answer

Hope it will help :)

5 0

2 years ago

Can someone please help me

Allisa [31]

Answer:

I think it is C

Step-by-step explanation:

Reason being because the question said at least 15 points more so it can't

be 12 equal to 12 points. so you could eliminate the greater than or equal to.

so that leaves c and d. can't see how it is D because if he has 15 points more can't see why his other portion of points could take away 15 so that leaves C.

hope that helps

4 0

2 years ago