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:

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

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: 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 :)

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:

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

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

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:

8) 62.83

9) 603.19

Step-by-step explanation:

Use an online calculator.

Hope this Helps!

Btw, pls brainliest.

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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:

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:

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

Step-by-step explanation:

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:

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

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:

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°

Answer:

d = 14

Step-by-step explanation:

6d = 84

Divide each side by 6 to isolate d

6d/6 = 84/6

d =14

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:

(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:

height of the cuboid=480/(12×8)

=480/96

=5 cm

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:

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:

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:

21

Step-by-step explanation:

Answer:

The Choose (B)

(B) x²+y²=25

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

Answer:

9 plus 11 plus 12 =

Step-by-step explanation:

x is 22

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.