Unit 4: Systems of Equations
One week, Carlos bought 6 dog treats and 4
cat treats for $42. The next week, he bought 2
dog treats and 7 cat treats for $31.
Create an algebraic representation of the
situation above.
How many does each dog tre at cost?
How much does each cat treat cost?

Answer:

The Choose (B)

(B) x²+y²=25

Answer:

x = 1

y =

5x + 2y = 13

x + 2y = 9

Add both equations.

6x + 4y = 22

Solve for x.

6x = 22 - 4y

x = 22/6 - 4/6y

step-by-step explanation:

Put x as 22/6 - 4/6y in the second equation and solve for y.

22/6 - 4/6y + 2y = 9

-4/6y + 2y = 9 - 22/6

4/3y = 16/3

y = 16/3 × 3/4

y = 48/12

y = 4

Put y as 4 in the first equation and solve for x.

5x + 2(4) = 13

5x + 8 = 13

5x = 13 - 8

5x = 5

x = 5/5

x = 1

Answer:

28

Step-by-step explanation:

V = (1/3)Bh

V = (1/3)(7 ft)(2 ft)(6 ft)

V = 28 ft^3

Answer:

average is 13.6

Step-by-step explanation:

Answer:

(-2,0), (-1,1), (0,2)

Step-by-step explanation:

Answer:

I do not know good luck my bro

Step-by-step explanation:

Answer:

∠QRS = 72°

Step-by-step explanation:

∠R + ∠Q = 180°  (supplementary angles)

18x + 12x = 180

30x = 180

x = 6

∠R = 12x = 72°  ∠Q = 18x = 108°

Step-by-step explanation:

In the picture it shows which quadrant is which. Now we can just mark the dots to figure it out using this representation.

W: quadrant 3

M: x axis

C: quadrant 1

K: quadrant 4

Hope that helps!

Answer:

16

Step-by-step explanation:

number = n

n/2 + 3 = n - 5

n/2 - n = -8

-n/2 = -8

n/2 = 8

n = 16

Answer:

2 cm

Step-by-step explanation:

The Answer is 18

Hope this helps! :)

(sorry I am a bit late)

Answer:

18 is correct on edge

Answer: Line 4

Step-by-step explanation: The slope of this line is angled downward. The others are either angled upward or straight up. The vertical and horizontal lines have 0 in their slopes. So, line 4 is the only line with a negative slope because it has a negative number in the slope. ((x,y), y would be negative.)

Answer:

Hi, there your answer will D.4

Step-by-step explanation:

Also, if you need help finding what slope is negative or positive use this chart to help you

Hope this Helps :)

=======================================================

Explanation:

Let x be the angle measure of that dark area. That angle x must add to the other angles 25, 90, and 25 to get a full 360 degree rotation.

So,

x+25+90+25 = 360

x+140 = 360

x = 360-140

x = 220

The dark area angle is 220 degrees

This is known as a reflex angle due to it being larger than 180 degrees, but it's less than 360 degrees. In symbolic terms, any reflex angle is one such that 180 < x < 360.

Answer:

it should be 80

Answer:

4 x 3 = 12, 12 x 1/2 = 6

6(area of one triangle) x 4(there are 4 sides) = 24

4 x 4 = 16(area of bottom)

Add given areas:

24 + 16 = 40

Answer:

Step-by-step explanation:

Given that :

Total amount in cups of green Ooze = 5 cups

From. The dot plot ; The total number of contestants obtained by counting each dot on the plot is 10

Hence ; amout received by each contestants given equal distribution :

5 cups / 10 = 1/2 cups

1/2 cups per contestant.

Answer:

x=8

Step-by-step explanation:

so since the whole thing should equal 180, and the right triangle is 90,

(3x+11)+(5x+15)=90 then solve for that

8x+26=90

8x=64

divide both sides by 8

so x=8

then plug in 8 for the xs so c is 3(8)+11 --> 24+11 so m<C=35*

m<D=90*

5(8)+15    40+15 so m<E=55

Answer:

height of the cuboid=480/(12×8)

=480/96

=5 cm

Answer:

Nothing because where is the problem or question?

Step-by-step explanation:

Answer:

You have to attach the link or copy and paste the questions so I can see what your talking about and I can answer it.

Step-by-step explanation:

Answer:

d = 14

Step-by-step explanation:

6d = 84

Divide each side by 6 to isolate d

6d/6 = 84/6

d =14

Answer:

38π cubic units

Step-by-step explanation:

The volume V = ∫₀²πy²dx  

Since y = 3x + 1, dy = 3dx ⇒ dx = dy/3

So, when x = 0, y = 3(0) + 1 = 0 + 1 = 1

when x = 2, y = 3(2) + 1 = 6 + 1 = 7

So, changing the variable to y and the limits of integration from y = 1 to y = 7, we have

V = ∫₀²πy²dx

V = π∫₁⁷y²dy/3

V = π[y³/3]₁⁷/3

V = π[y³]₁⁷/9

V = [7³ - 1³]π/9

V = [343 - 1]π/9

V = 342π/9

V = 38π cubic units

Answer:

24

Step-by-step explanation:

The unit rate of 4:5 is 0.8 because 4 divided by 5 is 0.8

0..8 x 30= 24

Answer:

A. g=6

Step-by-step explanation:

5g-6=24

5g=30

g=30/5

g=6

Answer:

D, g = -8

Step-by-step explanation:

5 (-8) - 6 => 24

-40 - 6 => 24

-46 is NOT greater than or equal to 24.

Answer:

21

Step-by-step explanation:

Answer:

5 hours, y= how much money it will cost, and x represents how many hours

Step-by-step explanation:

y= 15x+45

120= 15x+45

-45 -45

75= 15x

75/15×= 5 hours

Step-by-step explanation:

Write what you know

mean is: Sum of all data points / Number of data points

any unknown number we'll call x

so youd write

(x + $3191) / 2 = $4444

Solve for x

let me know if you need further help

The prisms might have different base areas, which would contribute to overall having different surface areas even if the altitude (aka height) of each prism was the same.

n & n - 1 are two consecutive numbers which means one of is surely even and the other one is odd.

_______________________________

Suppose that n is an even number;

So we can right n like this :

n = 2t

Thus :

n - 1 = 2t - 1

_______________________________

n( n - 1 ) = 2t( 2t - 1 ) = 2 ( 2t^2 - t )

= 2 ( q ) = 2q

The number obtained is a multiple of 2, so it is definitely even because all numbers are even multiples of 2.

Answer:

8) 62.83

9) 603.19

Step-by-step explanation:

Use an online calculator.

Hope this Helps!

Btw, pls brainliest.

Answer:

(47,16)

Step-by-step explanation:

System of Equations Problem.

Solve v(7)+b(6)=394;v(3)+b(12)=612

Solve 6b+7v=394 for b

Add -7v to both sides.

6b+7v+−7v=394+−7v

6b=−7v+394

Divide both sides by 6.

[tex]b=\frac{-7}{6} v+\frac{197}{3}[/tex]

Substitute [tex]b=\frac{-7}{6} v+\frac{197}{3}[/tex] for b in 12b+3v=612

12b+3v=612

[tex]12(\frac{-7}{6} v+\frac{197}{3} )+3v=612[/tex]

Simplify both sides of the equation.

−11v+788=612

Add -788 to both sides.

−11v+788+−788=612+−788

−11v=−176

[tex]\frac{-11v}{-11} =\frac{-176}{-11}[/tex]

v=16

Substitute 16 for v in [tex]b=\frac{-7}{6} v+\frac{197}{3}[/tex]

[tex]b=\frac{-7}{6} v+\frac{197}{3}[/tex]

[tex]b=\frac{-7}{6}(16)+\frac{197}{3}[/tex]

Simplify both sides of the equation.

b=47

Answer:

b=47 and v=16

Answer:

9 plus 11 plus 12 =

Step-by-step explanation:

x is 22

Answer:

Step-by-step explanation:

here,x1=4,y1=3,x2=x and y2=5

slope=2/3

use formula

slope=y2-y1/x2-x1

2/3=5-3/x-4

2/3=2/x-4(do cross multiplication)

2(x-4)=3*2

2x-8=6

2x=6+8

x=14/2

x=7