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3 years ago

Which ordered pair (a, b) is a solution to the given system?

Mathematics

2 answers:

denis23 [38]3 years ago

8 0

Since you are given a list of choices, you can go through each choice to plug them into the equations. It turns out that choice B is the answer

(3,1) means that a = 3 and b = 1
Plug in a = 3 and b = 1 into the first equation
2a - 5b = 1
2*3 - 5*1 = 1.... replace 'a' with 3, replace b with 1
6 - 5 = 1
1 = 1
we get a true equation, so we have confirmed the first equation

Do the same for the second equation
3a+5b = 14
3*3+5*1 = 14 .... replace 'a' with 3, replace b with 1
9+5 = 14
14 = 14
we get a true equation, so the second equation has been confirmed

Both equations are true when (a,b) = (3,1). So the answer (3,1) has been confirmed fully

goblinko [34]3 years ago

8 0

Answer: B (3, 1)

Step-by-step explanation: I took the test on edge 2020

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iVinArrow [24]

Answer:

1224 cm^3

Step-by-step explanation:

volume = bottom area x height

102x12=1224

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2 years ago

Find the product -a2 b2 c2 (a+b-c)

mina [271]

Use the distributive property:
$a(c+b)=ab+ac$
And
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$-a^2b^2c^2(a+b-c)=-a^2ab^2c^2-a^2b^2bc^2+a^2b^2c^2c=-a^3b^2c^2-a^2b^3c^2+a^2b^2c^3$

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2 years ago

When solving the equation 4(3x^2 +2)-9=8x^2+7. Emily wrote 4(3x + 2)=8x^2 + 16 as her first step. Which property justifies Emily

vfiekz [6]

Hello :
4(3x² +2)-9=8x²+7 = 4(3x^2 +2)-9 +9 =8x²+7 +9
= 4(3x² + 2)=8x² + 16
(State a reason why1) Addition Property of Equality)

6 0

3 years ago

The expression on (3+i)(4+5i) can be written in form a+bi, where a and b are integers. What are the values of a and b? (Show you

gregori [183]

$(3 + i)(4 + 5i) \\ 12 + 15i + 4i + 5 {i }^{2} \\ 12 + 19i - 5 \\ 7 + 19i$

Therefore, a is 7 aka real part and b is 19 which is imaginary part.

8 0

2 years ago

Tickets to a movie cost $7.25 for adults and $5.50 for students a group of friends purchased 8 tickets for $52.75 how many adult

irina1246 [14]

Answer:

The number of adults tickets and student tickets purchased is 5 and 3.

Given that,

Tickets to a movie cost $7.25 for adults and $5.50 for students.

A group of friends purchased 8 tickets for $52.75.

Here we assume the no of adult tickets and no of student tickets be x and y.

Based on the above information, the calculation is as follows:

7.25x + 5.50y = 52.75 .............(i)

x + y = 8

x = 8 - y..................(2)

Now put the x value in the equation (1)

So,

7.25(8-y) + 5.50y = 52.75

7.25 × 8 - 7.25y + 5.50y = 52.75

58 - 1.75y = 52.75

5.25 = 1.75y

y = 3

So,

x = 8 - 3

= 5

Therefore we can conclude that the number of adults tickets and student tickets purchased is 5 and 3.

-Hope this helps<3

4 0

2 years ago