MATHEMATICS MIDDLE SCHOOL

Mathilde has 20 pints of green paint. She uses 2/5 of it to paint a landscape and 3\10 of it while painting a clover. She decides that for her next painting she will need 14 pints of green paint. How much more paint will she need to buy?

Answers

Answer 1

Answer:

8 more pints to paint

Further explanation

Given:

Mathilde has 20 pints of green paint.

She uses:

²/₅ of it to paint a landscape, and
³/₁₀ of it while painting a clover.

She decides that for her next painting she will need 14 pints of green paint.

Question:

How much more paint will she need to buy?

The Process:

Prepare ²/₅ to be ⁴/₁₀. The numerator and denominator are multiplied by two.

From the fractions ⁴/₁₀ and ⁵/₁₀ with the denominators of 10, we divided 20 pints into 10 parts for 2 units each.

The initial condition: $\boxed{2}\boxed{2}\boxed{2}\boxed{2}\boxed{2}\boxed{2}\boxed{2}\boxed{2}\boxed{2}\boxed{2}$

²/₅ (or ⁴/₁₀) of it to paint a landscape: $\boxed{2}\boxed{2}\boxed{2}\boxed{2}$ which is four out of ten parts or $\boxed{ \ 2+2+2+2=8 \ pints \ }$

³/₁₀ of it while painting a clover: $\boxed{2}\boxed{2}\boxed{2}$ which is three out of ten parts or $\boxed{ \ 2+2+2=6 \ pints \ }$

From the scheme above, it appears that Mathilde has 6 pints remaining, i.e., $\boxed{ \ 20-8-6=6 \ pints \ }$

She decides that for her next painting she will need 14 pints of green paint.

Thus, the amount of paint that she will need to buy is $\boxed{\boxed{ \ 14 - 6 = 8 \ }}$ . She needs 8 more pints of paint to buy.

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Keywords: Mathilde has 20 pints of green paint, 2/5 of it to paint a landscape, 3\10 of it while painting a clover, she will need 14 pints, how much more, she needs to buy, 8 pints

Answer 2

Answer: 2/5 = 4/10 = 8
3/10 = 6
8 + 6 = 14 + 14 = 28
28 - 20 = 8
8 pints needed or 1 gallon
Hope that Helps!

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What is the correct solution to this problem?A number divided by 5 is 3 more than –6.

What is the number?

A.
–45

B.
–30

C.
–15

D.
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Answers

$x-\ number\n\n(x)/(5)=-6+3\n\n(x)/(5)=-3\ \ \ | multiply\ by\ 5\n\nx=-15\n\nNumber\ is\ -15$

What is 105 over 32 simplified

Answers

105/32
3 and 9/32
or 3+9/32
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Are 6/10 and 6/30 multiples of 3/10

Answers

10 is not a multiple of 3 so no 6/10 is not multiples for 3/10 and 6 is not a mutiple of 10 so it can't be also the same with 6/30 although 6/30 is multiples for 3 but 6 is not a mutiple for 10.

10 is not a multiple of 3 so no 6/10 and 6/30 are not multiples of 3/10

What is x+2y-4-x-y+2

Answers

Answer:y-2

Step-by-step explanation:

Can a rectangle also be a rhombus? Explain.

Answers

Answer:
No

Explanation:
There are some significant differences between the rectangle and the rhombus including:
A rectangle:
1- each two opposite sides are equal
2- all angles are right angles

A rhombus:
1- all sides are equal
2- each two opposite angles are equal but not right

Based on the above differences, we can conclude that a shape can never be a rectangle and a rhombus at the same time

Hope this helps :)

No. A rectangle MUST have 2 pairs of parallel sides and all equal angles.
A rhombus has 2 pairs or parallel sides with 2 pairs of equal angles.

A golfer hits a ball from a starting elevation of 5 feet with a velocity of 70 feet per seconddown to a green with an elevation of -4 feet. The number of seconds t it takes the ball to
hit the green can be represented by the equation - 16t2 + 706 + 5 = -4. How long does it
take the ball to land on the green?
It takes the ball |
seconds to land on the green.

Answers

Answer:

Time, t = 4.5 s

Step-by-step explanation:

The number of seconds t it takes the ball to hit the green can be represented by the equation :

$-16t^2 + 70t + 5 = -4$

It means that the initial velocity is 70 ft/s. The above equation becomes:

$-16t^2 + 70t + 9=0$

It is required to find the time taken by the ball to land on the ground. It is a quadratic equation. The solution of quadratic equation is given by :

$t=(-b\pm √(b^2-4ac) )/(2a)\n\nt=(-b+ √(b^2-4ac) )/(2a),(-b- √(b^2-4ac) )/(2a)\n\nt=(-70+ √((70)^2-4* (-16)(9)) )/(2(-16)), \frac{-70-\sqrt{(70)^(2)-4*(-16)(9)}}{2(-16)}$

t = −0.125 and t = 4.5 s

Time cannot be negative. So, the time taken by the ball to land on the ground is 4.5 seconds.

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