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?

Answers

Answer 1

Answer:

$5 for a dog treat

$3 for a cat treat

Step-by-step explanation:

week 1: 6d + 4c = 42

week 2: 2d + 7c = 31

*used calculator & guessed what each treat costs*

WEEK 1:

6(5) + 4(3) = 42

30 + 12 = 42

42 = 42

WEEK 2:

2(5) + 7(3) = 31

10 + 21 = 31

31 = 31


Related Questions

Which of the following equations correctly represents a circle centered at the origin with a radius of 5?

Answers

Answer:

The Choose (B)

(B) x²+y²=25

Which is not a solution of 5g - 6 => 24?
A. g=6
B. g=10
C. g. 20
D. g=-8

Answers

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.

SOMEONE HELP WITH THESE 2 questions please!!!!!! Will mark brainlist !!!! And worth points !! Please don’t answer if u don’t know !!

Answers

Answer:

8) 62.83

9) 603.19

Step-by-step explanation:

Use an online calculator.

Hope this Helps!

Btw, pls brainliest.

4 out of 5 phones that are recycled, have cracks on the screens. If 30 phones got recycled today, how many probably had cracks on their screens?

Answers

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

solve: 6d = 84
*with the steps*​

Answers

Answer:

d = 14

Step-by-step explanation:

6d = 84

Divide each side by 6 to isolate d

6d/6 = 84/6

d =14

A rectangular garden has an area of 144. If the base is 8 ft long, what is the height? 18 ft 36 ft 64 ft 72 ft

Answers

The Answer is 18

Hope this helps! :)

(sorry I am a bit late)

Answer:

18 is correct on edge

Two triangular prisms with the same altitude always have the same surface
area.
A. True
B. False

Answers

Answer:   False

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.

Find the amount each consent would carry if the total amount carried (5 cups) was redistributed equally among all contestants.

Answers

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.

help me please!! 10 points

Answers

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

What is the answer to this

Answers

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:

Find the volume of the frustrum of the right circular cone generated by rotating the line y = 3x+1 about the x-axis between x = 0 and x = 2.

Answers

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

Help!!!please!!!!!!!

Answers

Answer:

height of the cuboid=480/(12×8)

=480/96

=5 cm

The answer is 5 cm my good freind

corresponding points of (-1, 1/2)

Answers

Answer:

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

Step-by-step explanation:

The school is adding one light to its baseball stadium. The light will cover the baseball field and 25° on both sides of the field as shown in the drawing.
Please help I need to finish it due 3:30

Answers

Answer:  220

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

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.

Use the diagram to answer questions 24 and 25.

What is the measure of angle HJK?
&
What is mHJ?

Answers

Answer:

21

Step-by-step explanation:

14. Jerry charges a fee of $45 plus $15 per hour to rent a motorbike. Write an equation to
calculate rental cost and tell what x and y mean. If you have $120 to spend, how long can you rent
for?

Answers

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

How do I find the measure qrs help????
I’m very confused thanks guys

Answers

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°

HELP ASAP, really really need help for these

Answers

Answer:

9 plus 11 plus 12 =

Step-by-step explanation:

x is 22

Find the volume of the rectangular pyramid.
6 ft
2 ft
7 ft
Figure not drawn to scale.

Answers

Answer:

28

Step-by-step explanation:

V = (1/3)Bh

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

V = 28 ft^3

Please help . bdjsjsvxbxjsnsbvzhxjxnxnnxndjdndn​

Answers

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 :)

HELP! Whats the answer?

Answers

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

NEED ASAP
The arithmetic mean of the monthly salaries of two people is $4444. One person earns $3191 per month. What is the monthly salary of the other person?

Answers

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

its me arg i need help

Answers

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

He is correct. Give them brainliest

From a circular sheet of a radius 5 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet.

Answers

Answer:

2 cm

Step-by-step explanation:

The ages of A, B, C ,D and E are 12, 18 ,13 ,16, and 6 years respectively . Find their average age.

Answers

Answer:

average is 13.6

Step-by-step explanation:

Someone help me with this please and thank you

Answers

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

explain why n(n-1) must be an even number​

Answers

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.

Help please thank you!

Answers

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!

Solve for x.

5x+2y=13
x+2y=9

Answers

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

find the value of x, if the slope of the line joining (4,3) and (x,5) is 2/3?

Answers

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

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