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3 years ago

Please help me solve questions 1&2

Mathematics

1 answer:

zaharov [31]3 years ago

6 0

Answer:

1) Volume of prism is (V=Area of base×Height)

Volume " " "(V=22÷7×rsquare×h)

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During a road trip Tony , Tony drove one third the distance that Lana drove. Mark drives 15 more than Lana drove .The total dist

ale4655 [162]

Answer:

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles

Step-by-step explanation:

Given as :

The total distance cover by Lana , Tony , Mark = 484 miles

Let The distance drove by Lana = L miles

The distance drove by Tony = T

The distance cover by Mark = M

So , L + T + M = 484 miles

Now, The distance of Tony = $\frac{1}{3}$ of Lana distance

Or, T = $\frac{1}{3}$ × L

And The distance of Mark = 15 + The distance of Lana

Or, M = 15 + L

Now.

L + $\frac{1}{3}$ × L + 15 + L = 484

Or, 2 L + $\frac{L}{3}$ = 484 - 15

Or, 2 L + $\frac{L}{3}$ = 469

Or, $\frac{7 L}{3}$ = 469

Or, 7 L = 469 × 3

∴ L = $\frac{1407}{7}$

I.e L = 201

The distance drive by Lana = 201 miles

The distance drive by Mark = 15 + L =15 + 201 = 216 miles

The distance drive by Tony = $\frac{1}{3}$ × 201 = 67 miles

Hence The distance drive by each person is

The distance drive by Lana = 201 miles

The distance drive by Mark = 216 miles

The distance drive by Tony = 67 miles Answer

8 0

3 years ago

Find each pair of integers, given their sum and product. sum -14, product +24 sum +3, product -18

kvv77 [185]

+3 and -18
The pair of integers are -3 and 6.
-3 + 6 = +3
-3 * 6 = -18

-14 and +24
The pair of integers are -2 and -12
-2 + -12 = -14
-2 * - 12 = +24

3 0

3 years ago

2x – Зу = -1 + 3x+3y= 26 ОА. бу = 25 ОВ. 5х = 27 Ос. 5х = 25 OD. 5x - бу = -27

Brilliant_brown [7]

Answer:

C. $5x=25$

Step-by-step explanation:

Given:

$2x-3y=-1\\3x-3y=26$

Add the two equations, we get

$2x-3y+3x+3y=-1+26\\(2x+3x)+(-3y+3y)=25\\5x+0=25\\5x=25$

Therefore, the correct option is option C.

5 0

3 years ago

Graph the linear equations (with all steps shown); 4y - 3x = 11 and 2y + 3x = 31

azamat

Answer:

Step-by-step explanation:

i put this in a desmos graphing calculator

4 0

2 years ago

Solve the system of equations below. 5x + 2y = 9 2x - 3y = 15

riadik2000 [5.3K]

Answer:

(3,-3)

y= -3

x= 3

Step-by-step explanation:

5x+2y=9

2x-3y=15

solve the equation

x=9/5-2/5y

2x-3y=15

substitute the value of x into an equation

2(9/5-2/5y)-3y=15

distribute

18/5-4/5y-3y=15

subtract -4/5 to -3

18/5-19/5y=15

subtract 18/5 from both sides

-19/5=57/5

divide both sides by -19/5

y= -3

substitute the value of y into an equation

x=9/5-2/5(-3)

distribute

x=9/5+6/5

add 9/5 to 6/5

x=3

--------

(3,-3)

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3 0

3 years ago