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4 years ago

Solve the system of equations using elimination.

Mathematics

1 answer:

tester [92]4 years ago

8 0

Answer:

y = 16 + 3/11

x = -76/11

Step-by-step explanation:

2y - 5x = -2

3y + 2x = 35

__________

(2y - 5x = -2)*3

(3y + 2x = 35)*2

__________

6y - 15x = -6

6y +4x = 70

__________

(6y - 15x = -6) - (6y +4x = 70)

15x - 4x = -6 -70

__________

11x = -76

x = -76/11

__________

3y +2(-76/11) = 35

3y = 35 + 152/11

3y = 13 + 35 + 9/11

3y = 48 + 9/ 11

y = 16 + 3/11

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A cone has a radius of 5 cm and a height of 9 cm. What is the volume of the cone to the nearest whole number? Use 3.14 for pi.

Katyanochek1 [597]

Answer:

235or 236

Step-by-step explanation:

A cone has a radius of 5 cm

a height of 9 cm

Volume of cone =1/3πr^2h

=1/3×3.14×5×5×9

= 3.14×25×3

=3.14×75

=235.5

=235or 236 is the answer

8 0

3 years ago

Laylandwatson can you answer this please The average height of an ostrich is 255 cm.

Alex73 [517]

Answer:

Step-by-step explanation:

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8 0

3 years ago

Please answer it in two minutes

Reil [10]

Answer:

61 degrees.

Step-by-step explanation:

As long as the two figures are congruent, angle P corresponds to angle T, angle [cut off but it says 93 degrees] corresponds to angle U, angle N corresponds to angle V, and angle M corresponds to angle S.

Since we already have the value of T, we know the value of P. The measure of angle P is 61 degrees.

Hope this helps!

5 0

3 years ago

Simplify the expression. Write your answer as a complex number.

prohojiy [21]

Answer:

$15-8i$

Step-by-step explanation:

we know that

The algebraic expression is equal to

$5\sqrt{9}-\sqrt{-64}}$

Remember that

$\sqrt{9}=3$

and

$i=\sqrt{-1}$

$\sqrt{-64}=i\sqrt{64}=8i$

substitute

$5\sqrt{9}-\sqrt{-64}}=5(3)-(8i)=15-8i$

4 0

3 years ago

AT&T charges $350 to get a plan with them, plus $60 per month. T-Mobile charges a $275 initial fee, plus $80 per month. Writ

larisa86 [58]

Given :

AT&T charges $350 to get a plan with them, plus $60 per month.

T-Mobile charges a $275 initial fee, plus $80 per month.

To Find :

Write an equation or inequality that can be used to determine the number of months it would take for T-Mobile to cost the same or more than AT&T.

Solution :

Money-time relation of plan AT&T :

$M_1 = 60x + 350$

Money-time relation of plan T-Mobile :

$M_2 = 80y + 275$

( Here, x and y are number of months )

Let, after t months would take for T-Mobile to cost the same or more than AT&T.

So, $M_2\ge M_1$

$80t+275 \ge 60t + 350\\\\20t \ge 350 - 275\\\\20t \ge 75\\\\t \ge 3.75$

Hence, this is the required solution.

5 0

3 years ago