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jek_recluse [69]
3 years ago
7

Matt thinks of a number. when he multiplies it by 5 and adds he gets the same as when he multiplies it by 6 and subtracts 5. wha

t is this mystery number?
Mathematics
1 answer:
krek1111 [17]3 years ago
3 0
The number is 10.
5*10=50
50+5=55
6*10=60
60-5=55
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Bowser ate 4 1/2 pounds of dog food. That amount is 3/4 of an entire bag of dog food. How many pound of dog food were originally
GalinKa [24]
Divide number of pounds eaten by the portion of the bag eaten.

= 4 1/2 pounds ÷ 3/4
= 4.5 ÷ 0.75
= 6 pound bag

CHECK:
multiply total pounds of bag by portion eaten
= 6 pound bag * 3/4
= 4 1/2 pounds eaten

ANSWER: The bag was 6 pounds of dog food.

Hope this helps! :)
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mart [117]
By flipping the order

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Find the solution of the given initial value problems in explicit form. Determine the interval where the solutions are defined.
natali 33 [55]

Answer:

The solution of the given initial value problems in explicit form is y=x-x^2-2  and the solutions are defined for all real numbers.

Step-by-step explanation:

The given differential equation is

y'=1-2x

It can be written as

\frac{dy}{dx}=1-2x

Use variable separable method to solve this differential equation.

dy=(1-2x)dx

Integrate both the sides.

\int dy=\int (1-2x)dx

y=x-2(\frac{x^2}{2})+C                  [\because \int x^n=\frac{x^{n+1}}{n+1}]

y=x-x^2+C              ... (1)

It is given that y(1) = -2. Substitute x=1 and y=-2 to find the value of C.

-2=1-(1)^2+C

-2=1-1+C

-2=C

The value of C is -2. Substitute C=-2 in equation (1).

y=x-x^2-2

Therefore the solution of the given initial value problems in explicit form is y=x-x^2-2 .

The solution is quadratic function, so it is defined for all real values.

Therefore the solutions are defined for all real numbers.

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3 years ago
At Mountain Park Middle School, there are 250 seventh-grade students. Currently, 32% of those students are in
sergij07 [2.7K]
A =250 - (250 x 0.32)
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3 years ago
Write square root of 64 - square root of -289 as a complex number in the form of a+bi
stellarik [79]

Answer:

\sqrt{64}-\sqrt{-289}

=8-17i

Step-by-step explanation:

\sqrt{64}=8 because 8(8)=64 and 8 is the positive square root of 64.

\sqrt{-289}=17i because 17i(17i)=289i^2=-289(-1)=-289.

\sqrt{64}-\sqrt{-289}

8-17i

8 0
3 years ago
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