Solve the system of equations using eliminations
4x + 3y = -5
-2x + 2y = 6
I really need help with this questions someone please help

Answer:

m∠ACD = 24°

Step-by-step explanation:

Measure of the interior angles of a polygon = [tex]\frac{(n - 2)\times 180}{n}[/tex]

Therefore, measure of the interior angles of a rectangle = [tex]\frac{(4 - 2)\times 180}{4}[/tex]

                                                                                              = [tex]\frac{360}{4}[/tex]

                                                                                              = 90°

m∠BCD = 90°

Since, m∠BCD = m∠BCA + m∠ACD

90° = 66° + m∠ACD

m∠ACD = 90° - 66°

              = 24°

Therefore, measure of angles ACD is 24°.

Answer:

$9.20

Step-by-step explanation:

Mixed nuts = 1/5

Chocolate candies = 1/2

Granola = 1 1/4

Cost of the trail mix

Mixed Nuts $2.50

Chocolate Candies $3.40 Granola $5.60

= 1/5 * 2.50 + 1/2 * 3.40 + 1 1/4 * 5.60

= 0.5 + 1.7 + 7

= $9.20

Answer:

$48,629

Step-by-step explanation:

The computation of the salary amount that she earned in 30 years

here we applied the future value formula

As we know that

Future value = Present value × (1 + interest rate)^time period

= $34,000 × (1 + 1.2%)^30

= $34,000 × 1.012^30

= $48,629

Answer:

252,000

Step-by-step explanation:

since we know that 5% of 240,000 is 12,000

then we just add 12,000 to the 240,000 for a 5% increase

Answer:

4

Step-by-step explanation:

The value in a set which is most close to the middle of a range.

Answer:

±[tex]\sqrt{-9}[/tex] or ±3i

Step-by-step explanation:

x² = -9

x = ±[tex]\sqrt{-9}[/tex] or ±3i

Answer: A

Step-by-step explanation: 6 is for $4 therefore 3 is for $2

(2+3i)+2i(2+3i) = 1(2+3i) + 2i(2+3i) = (1+2i)(2+3i)

Answer:

Step-by-step explanation:

power raised to power, you multiply the exponents

=3^-4=1/3^4=1/81

Answer:

1/81

Step-by-step explanation:

3^2 = 9

9^-2 = 1/81

negative exponents move it to denominator

Answer:

D.117 square in

Step-by-step explanation:

We are given that

Side length of square A=6 in

Side length of square B=9 in

We have to find the area of square C if the tree squares create a right triangle.

By using Pythagoras theorem

[tex](hypotenuse)^2=(Base)^2+(Perpendicular\;side)^2[/tex]

Side of square C

[tex](Hypotenuse)^2=6^2+9^2[/tex]

[tex](Hypotenuse)^2=117[/tex]

[tex]Hypotenuse=\sqrt{117}[/tex]

Now,

The area of square C=[tex](side)^2[/tex]

The area of square C=[tex](\sqrt{117})^2=117 in^2[/tex]

Option D is true.

Answer:

sss

Step-by-step explanation:

sss

fvokfdvik

Answer: A loss of $35,100

Step-by-step explanation:

The tractor had cost $136,000 and had accumulated a depreciation of $69,900.

This means that the net book value of the tractor was:

= 136,000 - 69,900

= $66,100

The insurance company was supposed to give them this amount but instead gave them $31,000. They will therefore suffer a loss of:

= 66,100 - 31,100

= $35,100

Step-by-step explanation:

Approach: A triangle is valid if sum of its two sides is greater than the third side. If three sides are a, b and c, then three conditions should be met.

The angular velocity of the ladybug is the same as the angular velocity of

the record.

Correct responses (approximate values):

a)  3.875 rad/s

b) 31 cm/s

c) 527 cm

The rate at which the record is spinning = 37 rpm

Location of the ladybug on the record = 8 cm from the center

a) The angular velocity of the ladybug is given as follows;

1 revolution = 2·π radians

1 minute = 60 seconds

Therefore;

[tex]Angular \ velocity, \ \omega = \dfrac{37 \times 2 \cdot \pi}{60 \, s} \approx \mathbf{ 3.875}[/tex]

b) Linear speed, v = Radius, r × Angular speed, ω

The radius with the ladybug rotates, r = 8 cm

Angular velocity of the ladybug = ω ≈ 3.875 rad/s

Therefore;

c) Distance, d = Speed, v × Time, t

After 17 seconds, we have;

Learn more about angular velocity here:

https://brainly.com/question/14370151

Answer:

5/6

Step-by-step explanation:

3/4 as a decimal is .75 while 5/6 is .833333333.

Answer:

2

Step-by-step explanation:

5(2)+2=12

(2)+4=6

5x+2 is twice the length of x+4. Therefore the answer is 2

Answer:

100/w = x

The 100 mm is made up of pennies that have the same width. If you divide the 100 mm by how wide each penny is, you will get how many pennies there are in the stack.

Step-by-step explanation:

Step-by-step explanation:

no pic available Hun xx try posting again

Answer:

Price increased=rs 52-1=rs 51

So therefore, increased%=51/1 x 100= 5100%

Step-by-step explanation:

Hope this helped!!!!!

9514 1404 393

Answer:

  C.  2 2/5

Step-by-step explanation:

Put in the given value of y and solve for x.

  6 = 5x -6

  12 = 5x . . . . . . . . . add 6

  12/5 = x = 2 2/5 . . . divide by 5, express as mixed number

Answer: 2/4 is 1/2   and 2/10 is 2/5 i believe

Step-by-step explanation:

Answer:

7/10

Step-by-step explanation:

Turn 2/4 into 20/40 and 2/10 into 8/40. If you add it it is 28/40. Divide both numbers by 4 and you get 7/10

Answer:

it's 124

Step-by-step explanation:

95*2=190

338-190=248

248/2= 124

width=124

Answer:

Step-by-step explanation:

Answer:

Douglas can race the go-karts at least 3 times.

Step-by-step explanation:

Given that:

Worth of game card = $20

Cost of go-kart = $3.50 each time

Amount Douglas wants to left = $7.75

Let,

x be the times Douglas can ride go-kart.

20 - 3.50x ≤ 7.75

-3.50x ≤ 7.75 - 20

-3.50x ≤ -12.25

3.50x ≤ 12.25

Dividing both sides by 3.50

[tex]\frac{3.50x}{3.50}\leq \frac{12.25}{3.50}\\x\leq 3.5[/tex]

Hence,

Douglas can race the go-karts at least 3 times.

Douglas should race 3 or fewer times to make sure he has at least $7.75 left on his card.

Given to us

Douglas bought a $20 game card at a game center.

The go-karts cost $3.50 each time you race.

Douglas wants to have at least $7.75 left on his card to play arcade games.

Assumption

Let's assume that Douglas races x number of times on go-kart.

As we know the total balance on the card is $20. And the cost of go-karts is $3.50 each time we race. Also, we need to save $7.75 on the card, therefore, Inequality can be written as,

$20 - ($3.5)x ≤ $7.75

$20 - ($3.5)x ≤ $7.75

[tex]20 - (3.5)x \leq 7.75\\\\-3.5x \leq 7.75-20\\\\-3.5x \leq -12.25\\\\x \leq \dfrac{-12.25}{-3.5}\\\\x \leq 3.5[/tex]

Hence, Douglas should race 3 or fewer times to make sure he has at least $7.75 left on his card.

Learn more about Inequality:

https://brainly.com/question/19491153

Answer:

Step-by-step explanation:

Given equation of the line is,

y = 2x + 1

By comparing this equation with the slope-intercept form of the equation,

y = mx + b

m = Slope of the line = 2

b = y-intercept = 1

Table for the input - output values,

x        -1            0            1            2

y        -1            1             3           5  

Now graph these points on the graph and join them by a straight line.