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Tanya [424]
3 years ago
11

Seven times the sum of a number and 8 is 3.​

Mathematics
1 answer:
Alina [70]3 years ago
8 0

Answer:

x = -53/7

Step-by-step explanation:

7(x+8) = 3

Distribute:

7x + 56 = 3

Subtract 56 from both sides.

7x = -53

Divide 7 from both sides.

x = -53/7

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Nathan solved this problem.
SCORPION-xisa [38]
D the answer is 34.5 so it should be closer to 35
6 0
4 years ago
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Which is the result when the equation y = -2/5x + 5/2 is converted to<br> standard form?
mixer [17]

Answer:

 4x+10y-25=0

Step-by-step explanation:

y=-\frac{2}{5} x+\frac{5}{2}

Multiply by 10 on both sides,

10y=-4x+25\\

so 4x+10y-25=0

4 0
2 years ago
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On two investments totaling $11,500, Peter lost 3% on one and earned 4% on the other. If his net annual receipts were $⁢201, how
BlackZzzverrR [31]
Total amount of money invested - $11500
X +Y = $11500. ----------(1)
Total yearly interest for thetwo a/c is - $201
-0.03X + 0.04Y = $201
Form (1)
X = 11500 - Y
Substitute for X
-0.03(11500 - Y) + 0.04 Y = $201
-345 + 0.03Y + 0.04Y =201
0.07Y = 546
Y = 7800 at 4 %
Calculate X
X = 11500 - Y
= 11500 - 7800
=3700 at - 3%
Check
-0.03×3700 + 0.04 × 7800 = $201
-111 + 312 = $201
$201 = $201
6 0
4 years ago
A plane traveled 1463 miles to Moscow and back. The trip there was with the wind. It took 11 hours. The trip back was into the w
Studentka2010 [4]

The speed of plane is 105 miles per hour and speed of wind is 28 miles per hour.

Step-by-step explanation:

Given,

The distance traveled by plane = 1463 miles

The trip with the wind took 11 hours.

The trip took 19 hours against the wind.

Let,

s be the speed of plane and w be the speed of wind.

Therefore;

Speed with the wind = s+w

Speed into the wind = s-w

We know that;

Distance = Speed * Time

Therefore;

Equation for trip taken with wind.

1463 = 11(s+w)

Dividing both sides by 11

\frac{1463}{11}=\frac{11(s+w)}{11}\\133=s+w\\s+w=133\ \ \ Eqn\ 1

Equation for trip taken into the wind

1463 = 19(s-w)

Dividing both sides by 19

\frac{1463}{19}=\frac{19(s-w)}{19}\\77=s-w\\s-w=77 \ \ \ Eqn\ 2

Adding Eqn 1 and 2

(s+w)+(s-w)=133+77\\s+w+s-w=210\\2s=210

Dividing both sides by 2

\frac{2s}{2}=\frac{210}{2}\\s=105

Putting s=105 in Eqn 1

105+w=133\\w=133-105\\w=28

The speed of plane is 105 miles per hour and speed of wind is 28 miles per hour.

3 0
3 years ago
A truck can be rented from Company A for $140 a day plus $0.40 per mile. Company B charges $60 a day plus $0.50 per mile to rent
jeka94

Answer:

please see attached picture

7 0
3 years ago
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