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UNO [17]
3 years ago
9

How can 7 1/5+(-8 3/5) be expressed as the sum of its integer and fractional parts

Mathematics
1 answer:
Nadya [2.5K]3 years ago
6 0

Answer:

see the explanation

Step-by-step explanation:

we know that

A mixed number is the sum of a integer and a fractional part

we have

7\frac{1}{5}+(-8\frac{3}{5})

so

7\frac{1}{5}=7+\frac{1}{5}

-8\frac{3}{5}=-8-\frac{3}{5}

substitute

7+\frac{1}{5}+(-8-\frac{3}{5})

Group terms

(7-8)+(\frac{1}{5}-\frac{3}{5})

(-1)+(-\frac{2}{5})

-1\frac{2}{5}

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Given a+b=7 and a–b=3, find:<br> 3^a÷3^b<br> ​
Mama L [17]

Answer:

a=  -2 and b=3

Step-by-step explanation:

Step 1) Solve the first equation for a:

a + 3b = 7

a + 3b - 3b = 7 - 3b

a + 0 = 7 - 3b

a = 7 - 3b

Step 2) Substitute(7 - 3b)  for a in a second equation and solve for b:

2a = b - 7 becomes:

2(7 - 3b) = b-7

(2 multi.7) - (2 multi.3b)= b-7

14  - 6b = b - 7

14  + 7 - 6b + 6b = b + 6b = b + 6b - 7 +7

21  - 0 = 1b + 6b - 0

21=(1 + 6)b

21  = 7b

21 /7 = 7b/7

3  = 7b/7

3  = b

b  = 3

Step 3) Substitute  3  for  b  in the solution to the first equation at the end of Step 1 and calculate  a :

a  = 7 - 3b becomes:

a  =  7  −  ( 3  ⋅  3)

a  =  7  − 9

a  =  − 2

6 0
3 years ago
Read 2 more answers
Solve for m:<br> 598 + 15.75m &lt; 850
inna [77]

Answer:

m < 16

Step-by-step explanation:

598 + 15.75m < 850

15.75m < 850 - 598

15.75m < 252

m < 16

5 0
3 years ago
64, 57, 50, 43,... 50th term​
tekilochka [14]

Answer:

-279

Step-by-step explanation:

a=64

d=t2-t1=57-64=-7

t50=a+49d=64+49×(-7)

=64-343

=-279

5 0
2 years ago
A plane can fly 290 miles downwind in the same amount of time as it can travel 220 miles upwind. Find the velocity of the wind i
nikitadnepr [17]

Answer:

The speed of the wind is 35\ mph

Step-by-step explanation:

Let

x-----> the speed of the wind in mph

we know that

Downwind

(255+x)=\frac{290}{t}

t=\frac{290}{(255+x)} -----> equation A

Upwind

(255-x)=\frac{220}{t}

t=\frac{220}{(255-x)} ----> equation B

equate the equation A and the equation B

\frac{290}{(255+x)}=\frac{220}{(255-x)}\\ \\290(255-x)=220(255+x)\\ \\ 73,950-290x= 56,100x+220x\\ \\220x+290x=73,950-56,100\\ \\510x=17,850\\ \\x= 35\ mph

7 0
3 years ago
What is the value of x to the nearest tenth?
Mashcka [7]

ANSWER

9.7 units

EXPLANATION

According to the Pythagoras Theorem, the square of the hypotenuse is equal to the sum of the squares of the two shorter legs

{x}^{2}  +  {7}^{2}  =  {12}^{2}

This implies that,

{x}^{2}  +  49= 144

Group similar terms,

{x}^{2}  = 144 - 49

{x}^{2}  = 95

x =  \sqrt{95}

x = 9.7 \: units

to the nearest tenth.

5 0
3 years ago
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