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timurjin [86]
2 years ago
15

A) Work out 4 1/7 + 1 1/2​

Mathematics
2 answers:
Whitepunk [10]2 years ago
8 0

Answer:

4 \frac{1}{7}  + 1 \frac{1}{2}  = 5 \frac{9}{14}

Step-by-step explanation:

STEP 1:

Add Whole Numbers:

4 + 1 = 5

STEP 2:

Combine Fractions:

\frac{1}{7}  + \frac{1}{2}  =  \frac{9}{14}

Here’s How To Solve: (Step 2:)

\frac{2 + 7}{14}  =  \frac{2 + 7 = 9}{14}  =  \frac{9}{14}

So,

4 \frac{1}{7}  + 1 \frac{1}{2}  = 5 \frac  {9}{14}

HOPE THIS HELPS! :)

Vesnalui [34]2 years ago
4 0

Answer:

135/14

9 9/14

Step-by-step explanation:

29/7+11/2

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Bennett has been practicing the cello for an hour each day. 3/4of the hour, he spends practicing musical pieces in preparation f
mina [271]

Answer:

Orchestral\ Time = \frac{3}{10}\ hour

Step-by-step explanation:

Given

Time = 1\ hour

Musical\ Pieces = \frac{3}{4}\ hour

Practicing\ Sales = \frac{1}{4}\ hour

Orchestral = \frac{2}{5} of music practice time

Required

Determine time spent on orchestral pieces

From the given parameters, we have:

Orchestral = \frac{2}{5} of music practice time

Substitute \frac{3}{4}\ hour for music practice time.

So, we have:

Orchestral\ Time = \frac{2}{5} * \frac{3}{4}\ hour

Orchestral\ Time = \frac{1}{5} * \frac{3}{2}\ hour

Orchestral\ Time = \frac{3}{10}\ hour

7 0
3 years ago
Activity 4: Factor Then solve
Arturiano [62]
Very complex, you should ask each individual question, or give more points
general strategy:
get 1 side to equal 0
factor
set each factor to 0
solve


1. factor out the x and set each to zero
x(x+7)=0
x=0

x+7=0
subtract 7
x=-7
x=0 or -7



2. factor out the 6s
6s(s+3)=0
6s=0
s=0

s+3=0
subtract 3
s=-3
s=-3 or 0



3.  I'm assuming that the equation was supposed to be t^2+8t+16 so
find what 2 numbers multiply to get 16 and add to get 8
the numbers are 4 and 4
factor
(x+4)(x+4)=0
x+4=0
subtract 4
x=-4




4. find what 2 numbers multipy to get 25 and add to get -10
the numbers are -5 and -5
factor
(x-5)(x-5)=0
set each to zero
x-5=0
add 5
x=5



5. subtract 16 from both sides
h^2+6h-16=0
find what 2 numbers multiply to get -16 and add to get 6
the numbers are -6 and 10
factor
(h-6)(h+10)=0
set each to zero
h-6=0
add 6
h=6

h+10=0
subtract 10
h=-10
h=-10 or 6



6.subtract 5x from both sides
x^2-5x-14=0
find what 2 numbers multiply to get -14 and add to get -5
the numbers are -7 and 2
factor
(x-7)(x+2)=0
set each to zero
x-7=0
add 7
x=7

x+2=0
subtract 2
x=-2
x=-2 or 7




7.add 2r^2 to both sides
2r^2+11r+15=0
difficult so multiply 2 and 15 and get 30
not factor and find what 2 numbers multiply to get 30 and add to get 11
the numbers are 5 nd 6
split 11 up into 5 and 6
2r^2+6r+5r+15=0
group and factor
(2r^2+6r)+(5r+15)=0
factor
2r(r+3)+5(r+3)=0
reverse distribute
(2r+5)(r+3)=0
set each to zero
2r+5=0
subtract 5
2r=-5
divide 2
r=-5/2

r+3=0
subtract 3
r=-3
r=-3 or -5/2




8. this is a difference of 2 perfect squares in which if you have
x^2-y^2 that factors out of (x-y)(x+y) so
x^2-25=0
x^2-5^2=0
(x-5)(x+5)=0
set each to zero
x-5=0
add 5
x=5

x+5=0
subtract 5
x=-5
x=-5 or 5



9. differnce of 2 perfect squares
81-4x^2=0
9^2-(2x)^2=0
(9-2x)(9+2x)=0
set each to zero
9-2x=0
add 2x to both sides
9=2x
divde 2
9/2=x

9+2x=0
subtract 9 from both sidees
2x=-9
divide 2
x=-9/2
x=-9/2 or 9/2


10. subtract 12s from both sides
4s^2-12s+9=0
multiply 4 and 9 and get 36
find what 2 numbers multiply to get 36 and add to get -12
the numbers are -6 and -6
split up the -12s into -6s and -6s
4s^2-6s-6s+9=0
group
(4s^2-6s)+(-6s+9)=0
factor
2s(2s-3)+(-3)(2s-3)=0
reverse distribute
(2s-3)(2s-3)=0
set each to zero
2s-3=0
add 3
2s=3
divide 2
s=3/2









ANWERS:
1. x=0 or -7
2. s=-3 or 0
3. x=-4
4. x=5
5. h=-10 or 6
6. x=-2 or 7
7. r=-3 or -5/2
8. x=-5 or 5
9. x=-9/2 or 9/2
10. s=3/2
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