All categories

3 years ago

Solve the system of equations and choose the correct ordered pair.

Mathematics

2 answers:

mafiozo [28]3 years ago

8 0

4x + 5y = 22 ⇒ Equation 1
2x + 3y = 12 ⇒ Equation 2

2(2x + 3y) = 2(12)
4x + 6y = 24 ⇒ Equation 3

Equation 1 - 3
(4x - 4x) + (5y - 6y) = 22 - 24
-y = -2
y = 2

Substitude y into Equation 1,
4x + 5(2) = 22
4x + 10 = 22
4x = 12
x = 3

(3,2)
Answer is A.

serg [7]3 years ago

7 0

<h2>Answer: (3,2)</h2>

Still the right anser on APEX as of 4/29/19.

You might be interested in

the formula for simple interest is I=Prt. find the principal (p) if you earn $300 dollars in interest (i) of 5% for 6 years (t)

WARRIOR [948]

Answer:

$9000

Step-by-step explanation:

I=?

p=$300

R=5*1/100

T=6

I=P*R*T

$300*5/100*6

=$9000

4 0

3 years ago

Which term could be put in the blank to create a fully simplified polynomial written in standard form?

Katena32 [7]

Correct Question:

Which term could be put in the blank to create a fully simplified polynomial written in standard form?

$8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y3$

Options

$x^2y^2$ $x^3y^3$ $7xy^2$ $7x^0y^3$

Answer:

$x^2y^2$

Step-by-step explanation:

Given

$8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y^3$

Required

Fill in the missing gap

We have that:

$8x^3y^2 -\ [\ \ ] + 3xy^2 - 4y^3$

From the polynomial, we can see that the power of x starts from 3 and stops at 0 while the power of y is constant.

Hence, the variable of the polynomial is x

This implies that the power of x decreases by 1 in each term.

The missing gap has to its left, a term with x to the power of 3 and to its right, a term with x to the power of 1.

This implies that the blank will be filled with a term that has its power of x to be 2

From the list of given options, only $x^2y^2$ can be used to complete the polynomial.

Hence, the complete polynomial is:

$8x^3y^2 -x^2y^2+ 3xy^2 - 4y3$

4 0

3 years ago

Read 2 more answers

N triangle ABC (see sketch), AD is the angle bisector of the angle A and BH is the height from side AC. The obtuse angle between

Alex Ar [27]

Answer: C

Step-by-step explanation:

We know that $\angle AHB=90^{\circ}$ , and thus by the exterior angle theorem,

$90^{\circ}+\alpha=4\alpha\\\\90=3\alpha\\\\\alpha=30^{\circ}$

Thus, $\angle CAB=2\theta=\boxed{60^{\circ}}$

8 0

2 years ago

5. On the cardiac ward of a local hospital, there are 7 nursing assistants. The seven assistants have 7, 8, 5, 9, 10, 10, and 14

almond37 [142]

Answer:

Option OD - 9

Step-by-step explanation:

Given : On the cardiac ward of a local hospital, there are 7 nursing assistants. The seven assistants have 7, 8, 5, 9, 10, 10, and 14 patients, respectively, that they assist.

To find : What is the average number of patients per nursing assistant?

Solution :

The average number of patients per nursing assistant is given by the division of sum of number of patients by total number of nursing.

So, $\text{Average} =\frac{\text{Sum of patients}}{\text{Number of assistants}}$