A farmer raises chickens and cows. There are 34 animals in all. The farmer counts 110 legs on the animals. How many cows and how many chickens does the farmer have?

Answer:

For a volume of 60 ounces, the appropriate price is $16

Step-by-step explanation:

Firstly, we need to determine the relationship between volume of popcorn and the price of bag.

Let us try and see if there is a linear relationship

A linear model is of the form ;

y = mx + b

where m is the slope and b is the y intercept

While the price represents the y axis values, the volume represents the x axis values

For the slope;

m = (y2-y1)/(x2-x1)

m = (13.6-11)/(48-35) = 2.6/13 = 0.2

So we have the slope value as 0.2

the equation is;

y = 0.2x + b

to get b, substitute any value of (x,y)

6 = 0.2(10) + b

6 = 2 + b

b = 6-2 = 4

If we had substituted (20,8)

8 = 0.2(20) + b

8 = 4 + b

b = 4

if (48,13.6)

13.6 = 48(0.2) + b

13.6 = 9.6 + b

b = 13.6-9.6

b = 4

Hence we have established linear relationship between the volume in ounces and the price in $

So we have this as

Price = 0.2(volume) + 4

So for volume of 60 ounces;

Price = 0.2(60) + 4

price = 12 + 4

price = $16

The reason why this is appropriate is because it follows the rule of the established linear relationship

Answer:

$16

Step-by-step explanation:

Answer:

Yes SAS

Step-by-step explanation:

2 sides are the same

1 90 degree angle for each triangle

Hence the Answer Side-Angle-Side

Answer:

Logic

Step-by-step explanation:

3 square = 9

4 square = 16

9+16= 25

5 square = 25

4 square = 16

5 square = 25

16+25= 41

6 square = 36

Answer:

C D anf F

Step-by-step explanation:

c : by expanding and canceling 4^x .

d : its the expanded form.

f : its just another way of expressing the expression

Answer:

7

Step-by-step explanation:

Answer:

30.5 i think

Step-by-step explanation:

plz let me know if wrong!

Answer:

Step-by-step explanation:

the angles are equivalent, so set them equal to each other

4x + 2 = 124

    - 2      - 2

4x = 122

/ 4     / 4

x = 30.5

Answer:

d

Step-by-step explanation:

(7,1)

Answer:

8.6

Step-by-step explanation:

Use the pythagorean therom for this

(5.9)^2 + (6.3)^2 = c

c= 74.5

square root of 74.5 is 8.631 or 8.6

hope this helps

Answer:

6

Step-by-step explanation:

Answer:

Yes, because each input (number of bagels) has a single output (cost).

Step-by-step explanation:

Answer:

the awnser is 30 degrees

Step-by-step explanation:

You have to look at your d ruler between different angles

Answer:

41

Step-by-step explanation:

In order to find the measure of angle C we must find the value of x

Remember the measures of the angles in a triangle add up to equal 180

that being said we use this equation to solve for x

180 = (sum of angles) 63 + 2x + 8 + x + 7

now we solve

step 1 combine like terms

63 + 7 + 8 = 78

2x + x = 3x

now we have 180 = 78 + 3x

step 2 subtract 78 from each side

180 - 78 = 102

78 - 78 cancels out

now we have 102 = 3x

step 3 divide each side by 3x

102/3=34

3x/3=x

we're left with x = 34

Now to find the measure of angle C

We plug in the value of x in the expression (x + 7)

so c = 34 + 7

34 + 7 =  41

therefore your answer is 41

Answer: it is a

Step-by-step explanation:

Answer:

a=6

b=-2

Step-by-step explanation:

You can use the hint provided on the mathswatch question page, I've attached it below

step 1

h(4) = ax+b = (ax4)+b = 4a+b

it is given in the question that h(4)=22, therefore 4a+b=22

step 2

work out the equation for inverse g

g^-1(x) = [tex]\frac{x-2}{3}[/tex]

step 3

input 14 into the equation in place of x to find g^-1(x)

[tex]\frac{x-2}{3} =\frac{14-2}{3} =\frac{12}{3} =4[/tex]

so, g(x)^-1=4

step 4

find h(1):

h(1) = (ax1)+b = a+b

so, h(1)=a+b

step 5

a+b=4 (as it is given in the question that g^-1(14) is equal to h(1))

step 6

Now you have two simultaneous equations:

4a+b=22

a+b=4

then, solve for a:

4a+b=22

- a+b=4  

3a=18

a=6

then, input answer for a into either equation (I've gone with the a+b=4 equation):

6+b=4

-6   - 6

b=-2

(p.s i know this is very late but hope it helps someone)

Answer:

9) 0.46

10) 0.666

11) 18%

12) 2.3%

13) 0.7/ 70%

14) 0.56/ 56%

15) 0.0035/ 0.35%

16) 1.13/113%

Step-by-step explanation:

Answer:

1.) 12m = d

2.) 120

Answer:

d=12m

$120

Explained

part 1:

d=12m (dollars = $12 times the m (the number of mows))

part 2:

m=10

d=12 (10)

d=$120

Answer:

x=32°

Step-by-step explanation:

ABC+BCA+CDE=180

Substitute

61+57+2x=180

118+2x=180

2x=62

x=32

Answer:

R to S

Step-by-step explanation:

Answer:

d = 7.5

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 3

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (d, - 5d)

m = [tex]\frac{-5d+6}{d+3}[/tex] = - 3 ( multiply both sides by (d + 3) )

- 5d + 6 = - 3(d + 3)

- 5d + 6 = - 3d - 9 ( add 3d to both sides )

- 2d + 6 = - 9 ( subtract 6 from both sides )

- 2d = - 15 ( divide both sides by - 2 )

d = 7.5

Answer:

[tex]\boxed {\boxed {\sf (1, 3) \ or \ x=1 \ and \ y=3}}}[/tex]

Step-by-step explanation:

We are given this system of equations:

[tex]4x+y=7\\4x-2y=-2[/tex]

We use elimination to solve to eliminate one of the variables, so we only have to work with one at a time. We do this by adding and subtracting the equations, and sometimes multiplying the entire equation by a number.

Notice how both equations have a 4x. This means they can easily be eliminated, without multiplying the equations by another number first. Let's subtract the 2 equations.

[tex]\ \ \ 4x+y=7\\ -(4x-2y)=-2[/tex]

The 4x will cancel because 4x-4x=0.

[tex]\ \ \ \ y=7 \\ - (-2y) = -2[/tex]

Since there are back to back negative signs, they become addition signs.

[tex]\ \ \ \ y=7 \\+2y=2[/tex]

[tex]3y=9[/tex]

We are solving for y , so we must isolate the variable. It is being multiplied by 3 and the inverse of multiplication is division. Divide both sides by 3.

[tex]3y/3=9/3\\y=3[/tex]

Now we can substitute 3 in for y in the original equations. Let's use the first one.

[tex]4x+y=7\\4x+3=7[/tex]

3 is being added to 4x. The inverse of addition is subtraction. Subtract 3 from both sides.

[tex]4x+3-3=7-3\\4x=4\\[/tex]

x is being multiplied by 4. The inverse of multiplication is division. Divide both sides by 4.

[tex]4x/4=4/4\\x=1[/tex]

x is equal to 1 and y is equal to 3. Coordinate points are written as (x, y). The solution to this system of equations is (1, 3).

Answer:

She can make :

5 3/5 pies

Algebraic equation =

1 1/4 p = (9 - 2)

Step-by-step explanation:

Clara has 9 pounds of apples. If she saves 2 pounds for applesauce, how many pies, p, can she make?

Total number of pounds of apples = 9 pounds

She saves 2 pounds for apple sauce

The number of pounds of apples left =

9 pounds - 2 pounds

= 7 pounds

She needs 1 1/4 pounds to make one apple pie.

Therefore

1 1/4 pounds = 1 apple pie

7 pounds = p

Cross Multiply

1 1/4 × p = 7 × 1

p = 7 ÷ 1 1/4

p = 7 ÷ 5/4

p = 7 × 4/5

p = 28/5

p = 5 3/5 pies

An Algebraic equation for this situation is:

1 1/4 p = (9 - 2)

Where p = Number of pies

Answer:

Then the midpoint is (2, -2)

Step-by-step explanation:

We treat the x- and y-coordinates separately, first finding the average (mean) of the x-coordinates and then the average of the y-coordinates:

xm = (-1 + 5)/2 = 2

ym = (1 - 5)/2 = -2

Then the midpoint is (2, -2)

Answer:

(2,-2)

Step-by-step explanation:

Two points are given to us and we need to find the midpoint of those two points. The points are

(-1,1) and (5,-5) . Let us say we have two points ( x1,y1) and ( x2 , y2) . The midpoint will be ,

[tex]\implies Midpoint =\bigg( \dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2} \bigg) \\\\\implies Midpoint = \bigg( \dfrac{-1+5}{2},\dfrac{1-5}{2}\bigg)\\\\\implies Midpoint = \bigg( \dfrac{4}{2},\dfrac{-4}{2}\bigg)\\\\\implies \red{Midpoint = ( 2 , -2) }[/tex]

Answer:

8 units

Step-by-step explanation:

Find the distance along the y-axis. For the example points (3,2) and (7,8), in which (3,2) is Point 1 and (7,8) is Point 2: (y2 - y1) = 8 - 2 = 6. This means that there are six units of distance on the y-axis between these two points. Find the distance along the x-axis. Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

Answer:

The mean is 19.33

Step-by-step explanation:

How to Find the Mean. The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

Answer:

25.9%

Step-by-step explanation:

Since, the actual dimensions of the cylinder is not given we can assume the some dimension to explain the problem

Let us assume the dimension of the cylinder be

radius= 3in

height= 5 in

The expression for the total surface area of a cylinder is

T. S. A. =2πrh+2πr^2

Let us plug in the values to to find TSA

T. S. A. =2×3.14×3×5+2×3.14×3^2

Solving we get

T. S. A. =94.26+56.556

T. S. A. =150.816 in^2

Now let us find the error

we know that error % is calculated as

%error= [actual value-expected value/expected value]×100

%error= [190 -150.816/150.816]×100

%error= [39.184/150.816]×100

%error= 0.259×100

%error= 25.9%

Answer:

A=522

Explanation:

9514 1404 393

Answer:

  p is proportional to q, r, t, and inversely proportional to s

Step-by-step explanation:

Assuming k is a "constant of proportionality," the value of p is directly proportional to each of the numerator variables: q, r, t. P is inversely proportional to the denominator variable, s.

Answer:

[tex] \frac{4}{3} \pi {r}^{3} [/tex]

Step-by-step explanation:

Since,

Basketball is a spherical object.

Hence,

It's volume would be,

[tex] \frac{4}{3} \pi {r}^{3} [/tex]

Answer ^

Answer:

C)  V= 4/3 pie r 3

Step-by-step explanation:

edge 2022

Answer: Scale Factor: [tex]\frac{7}{4}[/tex] or 1.75

x= 24[tex]\frac{1}{2}[/tex] or 24.5

Step-by-step explanation:

12+16=28

12+9=21

x=14([tex]\frac{7}{4}[/tex]) =[tex]\frac{98}{4}[/tex]=24[tex]\frac{2}{4}[/tex]=24[tex]\frac{1}{2}[/tex]

x= 14(17.75)=24.5

ΔACD/ΔBE : [tex]\frac{AD}{AE}[/tex]=[tex]\frac{21}{12}[/tex][tex]\frac{/3}{/3}[/tex]=[tex]\frac{7}{4}[/tex]

ΔACD/ΔBE: [tex]\frac{AC}{AB}[/tex]= [tex]\frac{28}{16}[/tex] [tex]\frac{/4}{/4}[/tex] =[tex]\frac{7}{4}[/tex]