HELP! Jessica edits the school yearbook. She says the the dimensions of the student photo are proportional to the dimensions of the small photo, medium photo, and large photo found throughout the yearbook. Is she correct? Explain your reasoning.

Answer:

x = -4y + 19

Step-by-step explanation:

We have the two equations 3x + 2y = 17 and x + 4y = 19.

The first step would be to rearrange the variables in the second equation so we have a defined expression for x. We would want to do this so we could then plug in the the defined expression for x into the other equation and solve for the other variable.

x + 4y = 19

We can rearrange this by getting the 4y to the other side.

We can get 4y on the other side by subtracting 4y from both sides

x + 4y - 4y = 19 - 4y

x = -4y + 19

And we have just completed the first step!

The equation, when graphed with the given equation that will form a system with infinitely many solutions is 2x + y = 3

Given the equation 6x + 3y = 9, the equation if when graphed with this equation will give an infinite number of solutions must be the same as the given equation.

Note that the coefficient of the variables may be different by a scale factor.

To get the required equation, we will divide the equation through by 3 as shown;

Divide through by 3;

6x/3 + 3y/3 = 9/3

2x + y = 3

Hence the equation, when graphed with the given equation that will form a system with infinitely many solutions is 2x + y = 3

Learn more on systems of equations here:https://brainly.com/question/847634

Answer: A

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

3:

12

4:

16

Therefore 13 is in between 12 and 16

Answer:

x = 70

Step-by-step explanation:

Answer:

The area of this figure is 24mm.

Step-by-step explanation:

4mm*3mm=12mm

1mm*6mm=6mm

3mm*4mm=12mm/2mm=6mm

6mm+6mm+12mm=24mm

Answer:

Part A: 60

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.

12, 24, 36, 48, 60.

---------------------------------

Part B: 9

81 / 72 = 9

----------------------------------

Part C: 9 (8 + 9)

---------------------------------

GCF of 72 and 81 is 9...

Divide 72 by 9 and get 8.

Divide 81 by 9 and get 9.

To check multiply 9 with 8, and multiply 9 by 9.

Answer in the pic hope it helps

Answer:

C. San Francisco

Step-by-step explanation:

In order to get the speed in km/h, we must divide the km by the h! So, we do 1689/3 to get 563, 913/2 to get 456.5, and 2556/4 to get 639. Now we see that San Francisco has the highest average speed.

Answer:

San Fransisco

Step-by-step explanation:

Take the distance to travel and divide that by the hours it will take to make the full trip there. Your answer will be how far the plane travels per hour. San Fransisco travels farther per hour.

Answer:

-0.675

Step-by-step explanation:

A fraction is another way of writing a division problem. So to figure this out, simply divide -27 by 40

Answer:I think it would be the grocery store is at (-4, -8) but I not sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

9-3= 6 units (since x coordinates are same). We can also show by manually counting the squares (1 square= 1 unit)

Yes, its greater. Distance from house to school is 6. Distance from school to grocery is 3-(-8)= 11. Thus, distance is 11+6= 17 units.

Distance from house to school is 6. Distance from school to community center is 1-(-4)=5. Thus, distance= 6+5=11 units.

n = 4

Since you divide 6 by 3 to get 2, you divide 12 by 3 and you get 4.

Answer: 4

Step-by-step explanation: This problem is already set out as a proportion. you can cross multiply 6 times n which gives you 6n. Then 12 times 2 which gives 24.

Now you have 6n = 24. You can divide right away, or think of a number when you multiply into 6 gives you 24. Its obvious the answer is 4 because 6 x 4 = 24.

Check:

6/12 = 1/2

2/4 = 1/2

Hope this explanation helps.

Answer:

BCA is half of that of BCD. BCD is ~90 degrees, and BCA is ~45 degrees.

(~ meaning about)

Hope that helps

i think the x intercept is 2 in problem a

Answer:

A)x=150

B)2Pie*raduis

A2)2

B2) don't know what a bearing is srry

A3)???

Hope This Helps!!!

Answer:

4 n 4 √ 3 n

Step-by-step explanation:

Answer:

  a. 2116 miles

  b. 105.8 gallons

  c. $305.76

  d. cost per gallon = total cost / number of gallons = total cost/105.8

Step-by-step explanation:

The round-trip distance is the sum of the distances there and back. It is double the one-way distance.

  round-trip distance = 2 × one-way distance

  round-trip distance = 2 × 1058 miles = 2116 miles

__

The gas used will be the distance divided by miles per gallon.

  gas used = round-trip distance / miles-per-gallon

  gas used = (2116 mi)/(20 mi/gal) = 105.8 gal

__

The cost of gas will be the product of cost per gallon and number of gallons.

  cost of gas = cost-per-gallon × gallons

  cost of gas = $2.89/gal × 105.8 gal = $305.762 ≈ $305.76

__

The relation used in the previous step can be used to find the cost per gallon. Divide that equation by gallons to get ...

  (cost of gas)/gallons = cost-per-gallon

For the same trip, the number of gallons is 105.8, so the equation becomes ...

  cost-per-gallon = (cost of gas)/105.8

Answer:

318+954

Step-by-step explanation:

divide 1272 by 2 to get what they would cost if they were the same amount then divide that by 2 to get 318 times that by 3 to get 954 and add 318 to get 1272

The required cost of the couch and coffee table is $848 and $424 respectively.

Given that,
A couch and coffee table cost a total of $1272. The cost of the couch is two times the cost of the coffee table.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
let the cost of the coffee table be x,
Now the cost of the couch  = 2x
According to the question,
2x + x = 1272
x = 424
now,
Cost of the couch = 424 [2] = 848

Thus, the required cost of the couch and coffee table is $848 and $424 respectively.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

Step-by-step explanation:

X - 4 = 0

X = 4

X - 2 = 0

X = 2

So the values of x are 2 and 4

D is correct :)

The bunnies are multiplying by 5 each time. The exponent will have the growth be 5 times the product before.

Hope this helps :)

Answer:

the 4th answer is correct

Step-by-step explanation:

although technically, we don't have enough information, it's the only one that it could be.

Answer:

6: 56

Step-by-step explanation:

Answer:

We can treat i as if it was a variable/symbol, with the caveat that

i * i = -1

[6]

(4 - 13i) - (3 + 6i) = 4 - 13i - 3 - 6i = 4 - 3 - 13i - 6i = 1 - 19i

[7]

-1 + (-7 + 8i) - 18i = -1 - 7 + 8i - 18i = -8 - 10i

[8]

2i * (4 + 3i) = 2i * 4 + 2i * 3i = 8i + 6i^2 = 8i + 6*-1 = -6 + 8i

[9]

(6 - i) * (9 + 3i) = 6 * 9 + 6*3i - i*9 - i*3i = 54 + 18i - 9i - 3i^2 = 54 + 9i - (3*-1) = 54 + 9i + 3 = 57 + 9i

Answer:

6.) 1 - 19i

7 ) -8 - 10i

8.) -6 + 8i

9.) 57 + 9i

not sure if its the right answer

Answer:

the other guy is correct, i think

Step-by-step explanation:

Answer:

365°, (65 +20t)°

Step-by-step explanation:

Temperature of oven

= initial temperature + 20°(number of minutes passed after it was turned on)

Temperature of oven after 15 minutes

= 65 +20(15)

= 65 +300

= 365°

Temperature after t minutes

= (65 +20t)°

Step-by-step explanation:

general formula

x²-(a+b)x+(ab)

where a is alpha

and b is beta

x=-4+2/6 or x=-4-2/6

x=-1/3 or x=-1

a+b=-1/3 + -1 =-4/3

ab= -1/3 x -1 =1/3

quadratic equation

x²-(-4/3)x + 1/3=0

x² + 4/3x + 1/3=0

multiply through by 3

3x² +4x +1=0

Answer:

general formula

x²-(a+b)x+(ab)

where a is alpha

and b is beta

x=-4+2/6 or x=-4-2/6

x=-1/3 or x=-1

a+b=-1/3 + -1 =-4/3

ab= -1/3 x -1 =1/3

quadratic equation

x²-(-4/3)x + 1/3=0

x² + 4/3x + 1/3=0

multiply through by 3

3x² +4x +1=0

Answer:

u-3>-6

Step-by-step explanation:

Just ask.

Hope this helps.

Answer:

[tex]x=-1[/tex] and [tex]x=-5[/tex]

Step-by-step explanation:

[tex]f(x)=(x+3)^2-4[/tex]

[tex]0=(x+3)^2-4[/tex]

[tex]0=(x^2+6x+9)-4[/tex]

[tex]0=x^2+6x+5[/tex]

[tex]0=(x+1)(x+5)[/tex]

[tex]x=-1[/tex] and [tex]x=-5[/tex]

Answer:

[tex]x=-1,\:x=-5[/tex]

Step-by-step explanation:

Solve the equation:

[tex]f(x)=\left(x+3\right)^2-4=0[/tex]

[tex]\left(x+3\right)^2-4=0[/tex]

[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]

[tex]\left(x+3\right)^2-4+4=0+4[/tex]

[tex]\left(x+3\right)^2=4[/tex]

[tex]x+3=\sqrt{4}:x=-1[/tex]

[tex]x+3=\sqrt{2^2}[/tex]

[tex]x+3=2[/tex]

[tex]x+3-3=2-3[/tex]

[tex]x=-1[/tex]

[tex]x+3=-\sqrt{4}:x=-5[/tex]

[tex]x+3=-\sqrt{4}[/tex]

[tex]x+3=-2[/tex]

[tex]x+3-3=-2-3[/tex]

[tex]x=-5[/tex]

Now, look at the points plotted on the graph:

Answer:

total bill = $15.23

Step-by-step explanation:

4.5 + 2.5 + 7.5 = 14.5

14.5 x 0.05 = 0.725

14.5 + 0.725 = 15.225 ≈ 15.23