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V125BC [204]
3 years ago
7

Complete the problem 4/7 - 2/7. (subtracting fractions)A. 3/8B. 2/15C. 1/2​

Mathematics
1 answer:
77julia77 [94]3 years ago
7 0

Answer:

the answer is 2/7

Step-by-step explanation:

4             2

__    -     __       =     2

7              7              __

                                 7

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Sumeet is building two types of birdhouses. The more traditional type takes 4 pieces of wood and 2 hours to build. The more lavi
mina [271]

Answer:

The no. of traditional type birdhouses are 4 and the no. of lavish type birdhouses are 3.

Step-by-step explanation:

Let x be the no. of traditional type birdhouses

The more traditional type takes 4 pieces of wood and 2 hours to build.

One house requires wood = 4

x houses requires wood = 4x

One house requires time = 2 hours

x houses requires time = 2x

Let y be the no. of lavish type birdhouses

The more lavish type takes 10 pieces of wood and 7 hours to build.

One house requires wood = 10

y houses requires wood = 10y

One house requires time = 7 hours

y houses requires time = 7y

Now we are given that he has a total of 46 pieces of wood and 29 hours to work,

So, equations becomes : 4x+10y = 46\\2x+7y=29

Plot these equations on graph

4x+10y = 46 ---Blue line

2x+7y=29  ---Green line

Refer the attached figure

The intersection point provides the solution

Intersection point : (4,3)

So, x = 4 and y = 3

Hence the no. of traditional type birdhouses are 4 and the no. of lavish type birdhouses are 3.

8 0
3 years ago
Two of the angles in a triangle measure 8° and 13°. What is the measure of the third angle?
Mrrafil [7]
The measure of the third angle would be 159 degrees
5 0
3 years ago
( 8k + 9) - (6k + 5)
Katena32 [7]

Answer:

The expression is 2k + 4.

Step-by-step explanation:

You have to collect like-terms :

(8k + 9) - (6k + 5)

= 8k + 9 - 6k - 5

= 2k + 4

3 0
3 years ago
Read 2 more answers
Subtract 4/5 - 4/7
Bumek [7]

Answer: 4/5 - 4/7 = 8/35

Step-by-step explanation:

6 0
3 years ago
2 points) Sometimes a change of variable can be used to convert a differential equation y′=f(t,y) into a separable equation. One
Stells [14]

y'=(t+y)^2-1

Substitute u=t+y, so that u'=y', and

u'=u^2-1

which is separable as

\dfrac{u'}{u^2-1}=1

Integrate both sides with respect to t. For the integral on the left, first split into partial fractions:

\dfrac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)=1

\displaystyle\int\frac{u'}2\left(\frac1{u-1}-\frac1{u+1}\right)\,\mathrm dt=\int\mathrm dt

\dfrac12(\ln|u-1|-\ln|u+1|)=t+C

Solve for u:

\dfrac12\ln\left|\dfrac{u-1}{u+1}\right|=t+C

\ln\left|1-\dfrac2{u+1}\right|=2t+C

1-\dfrac2{u+1}=e^{2t+C}=Ce^{2t}

\dfrac2{u+1}=1-Ce^{2t}

\dfrac{u+1}2=\dfrac1{1-Ce^{2t}}

u=\dfrac2{1-Ce^{2t}}-1

Replace u and solve for y:

t+y=\dfrac2{1-Ce^{2t}}-1

y=\dfrac2{1-Ce^{2t}}-1-t

Now use the given initial condition to solve for C:

y(3)=4\implies4=\dfrac2{1-Ce^6}-1-3\implies C=\dfrac3{4e^6}

so that the particular solution is

y=\dfrac2{1-\frac34e^{2t-6}}-1-t=\boxed{\dfrac8{4-3e^{2t-6}}-1-t}

3 0
3 years ago
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