How many pounds of bananas cost $3.75?

Answer:

x = -2 and y = 4

Step-by-step explanation:

We have given a system of equations

2x + 4y =12   ...........(1)

and

x + y = 2         .............(2)

Now to plot them in graph we need to find the points of the above linear equations .

From equation 1  ,we get

4y=12-2x

[tex]y=\frac{12-2x}{4} \\y=3-\frac{x}{2} \\[/tex]

Put x=0, then

[tex]y=3-\frac{0}{2} =3\\[/tex]

Put x=6

[tex]y=3-\frac{6}{2}=3-3=0[/tex]

So get the points (0,3) and (6,0).

From equation 2 ,we get

y=2-x

put x=0

y=2-0=2

put x=2

y=2-2=0

So we get the points (0,2) and (2,0).

So after plotting these points we get two lines intersecting at (-2,4).

Therefore our solution is x=-2 and y= 4.

Answer:

5

Step-by-step explanation:

Answer:D-5

Step-by-step explanation:

Answer: y=x+4

Step-by-step explanation:

The equation for a straight line can be written as y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0).

We can determine b just by looking at the value of y at x=0, which is y=4.  

This quickly gives us y = mx + 4.  This immediately eliminates two of the possible answers (the ones where b = -4).

All we need to do now is find the slope, m.

The slope of the line can be determined by calculating the "Rise/Run."  That is the change in y (Rise) for each change in x (Run).  Pick any two points.  I'll choose (-2,2) and (2,6).  Rise = (6-2)=4;  Run = (2 - (-2)) = 4.

The Rise over the Run is 4/4, or 1.  The graphed line has a slope of 1, so we can now write:

   y = 1x + 4

Test this by entering any vlaue of x and see if this equation correctly returns tha same value as shown on the graph.  E.g., when x = 6, will this equation correctly predict y as 10?  It does, so let's go with y=x+4.

Warren ran 10 km in 60 minutes or 1 hour.

Proportionality is a case when two ratios are equal.

Given that Warren runs for charity, so, he runs for a hospital a 5-kilometer race in 30 minutes, on the same rate he ran a 10-kilometer race to support the animal shelter.

We need to find the time taken by him when he ran 10 km race.

Since, the rate of running is same, that means the speed was equal in both races,

Let t be the required time,

Therefore, using the concept of proportionality,

5 / 30 = 10 / t

5t = 300

t = 60

Therefore, he ran 10 km in 60 minutes or 1 hour.

Learn more about proportionality, click;

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aww,thank you ^^

i hope you're having a good day as well

Answer:

thank youuu

Step-by-step explanation:

Answer:

first one is a answer me I think it is a right to me

Area of ∆ABC = 36,

Area of ∆ABC = 36,Area of ∆PQR = 64

Area of ∆ABC = 36,Area of ∆PQR = 64AB = 12

Area of ∆ABC = 36,Area of ∆PQR = 64AB = 12The correspondence ABC ↔ PQR is a similarity.

Area of ∆ABC = 36,Area of ∆PQR = 64AB = 12The correspondence ABC ↔ PQR is a similarity.To find: PQ = ?

Area of ∆ABC = 36,Area of ∆PQR = 64AB = 12The correspondence ABC ↔ PQR is a similarity.To find: PQ = ?For this,

Recall the property,

Ratio of areas of two similar triangles = Ratio of squares of the corresponding sides

Area of ∆PQR / Area of ∆ABC =(PQ/AB)²

64 /36 = (PQ/AB)²

(PQ/AB) = √64 /36

(PQ/AB)= 8/6

PQ=AB ×8/6

PQ = 12×8/6

⇒ PQ = 2 × 8

⇒ PQ = 2 × 8⇒ PQ = 16

⇒ PQ = 2 × 8⇒ PQ = 16Thus, answer is 16.

i hope it's helpful for u ☺️

Answer:

If r = 5, then:

(-5) - (-5) + (5) - (5) = 0

Always remember order of operations (PEMDAS)

Hope this helps :)

Answer:

Step-by-step explanation

there are 80 boxes in total

Answer:

[tex]a*a*c*c=a^2×c^2[/tex]

Step-by-step explanation:

Thanks!!!!!!!

Step-by-step explanation:

CP=45

SP= 1.5 X 10,000/250

THEREFORE SP=60

PROFIT=15

PROFIT % =(PROFIT/CP) X 100

(15/45) X 100

=33.3%

Answer:

hi hi hi hi hi hi hi hi hi hi hi hi hi

Answer:

Step-by-step explanation:

gg

Answer:

NA = 9 units

Step-by-step explanation:

The incentre is equally far away from the triangle's 3 sides , then

MA = LA , that is

6x - 3 = 5x - 1 ( subtract 5x from both sides )

x - 3 = - 1 ( add 3 to both sides )

x = 2

Then

LA = 5x - 1 = 5(2) - 1 = 10 - 1 = 9 , so

NA = LA = 9 units

Answer:

the answer is D

Step-by-step explanation:

sorry if I did it wrong

Answer:

D. Yes because the sum of two lengths of any two sides...etc.

This is your answer

Step-by-step explanation:

side1  m = 3

side2  m = 7

2 smaller sides = ( 3 + 7)  = 10

10 is larger than 8

proof Pythagoras theorem

3^2 + 7^2 = c^2

sqrt 9 + sqrt 49 = c^2

c^2 = sqrt 58 = 7.6 = 8 rounded to 1 significant figure.

Proof 2

show ratios of each side  3 : 7 : 9

The circumradius of a cyclic polygon is a radius of the circle inside which the polygon can be inscribed.  The height can sometimes be such radius but this should be proved from the equation height of a triangle equation

isosceles  not using Pythagoras = hᵇ = √ (a² - (0.5

isosceles using Pythagoras=  h = 2 * area / b

obtuse height formula =Area of an obtuse-angled triangle = 1/2 × base × height. Therefore, the height of the obtuse triangle can be calculated by: Height = (2 × Area)/base Substituting the values, we get:.

So as we know Given a=3 and c=8, shows a higher amount for 7 but stays 7 in all circumstances of 1significant figure just like 8 stayed rounded down when using round figure just 7.  We get;

b = 7.4162

∠α = 22.024° = 22°1'28" = 0.3844 rad

∠β = 67.976° = 67°58'32" = 1.1864 rad

h = 2.78107

area = 11.1243

perimeter = 18.4162

inradius = 1.2081

circumradius = 4

When the circumradius is 4 and we need the ratio to the inradius

this means the ratio is R : r as;

3/4 :7/4 : 8/4  = 18/4 / 7/2 = 9/7 which shows us the cr radius to the in radius ratio.

R:r therefore = 9/7

Answer:2

Step-by-step explanation:

Answer:

the vertex form is y= -2(x-4)^2+8 (the third one)

Answer:

x= 9

Step-by-step explanation:

<2 + 40 + 40 = 180 degree

<2 = 180 - 40 - 40

<2 = 100

m<2 = x + 109

x = 109 - <2 = 109 - 100 = 9

Answer:

bvlo

Step-by-step explanation:

gv

Answer:

y = 2,000(0.94)x

Step-by-step explanation:

f(x)  =  P (1 + r) ^x  

P = 2000

r = -0.06

f(x)  =  2000 (1 - 0.06)^x

=  2000 (0.94)^x

Answer:

-8, -6, -4, -3, 0, 9, 12, 15

Step-by-step explanation:

Answer:

-3 F'

Step-by-step explanation:

Answer:

Yards: 83.58

Feet: 250.75

Inches: 3009

Step-by-step explanation:

Yards: 1 yard = 36 inches

3009/36= 83.58

So if each yard is 36 inches and there are 83.58 sets of 36 inches in 3009 then that's how many yards you have.

Feet: 1 foot = 12 inches

3009/12= 250.75

Again, if each foot is 12 inches and there are 250.75 sets of 12 inches in 3009 then that's how many feet you have.

Inches: It's already in inches :)

I hope this isn't confusing and I could help!

Answer:

Yards : 83.5833333   Feet:250.75     Inches: 9

BC = BD

Step-by-step explanation:

AC = AD

because AB bisect ∠A or

∠CAB = ∠BAD

∴ So, BC = BD

Answer: Answer in Photo

Answer:

m∠ ACB = 60°

Step-by-step explanation:

If AB║CD  if m∠

Answer:

13

Step-by-step explanation:

h^2=5^2+12^2

h^2=25+144

h^2=169

h=sqr169

h=13

Answer:

13

Step-by-step explanation:

by Pythagorean theorem a²+b²=c²

a=5, b=12, c=AC

5²+12²= 25+144

=169

c²=169

c=✓169

=± 13 ( but length could only be positive)

AC=13