1. If x = y and x + 2y = 6 then find value of 'y'.
T

Answer:

There are 12 horses and 18 geese.

Step-by-step explanation:

We are given that in a field full of horses and geese, a farmer notes that there are 30 heads and 84 feet.

We can write a system of equations using the given information.

Let the amount of horses there are be represented by h and geese by g.

Assuming each horse and geese has only one head, we can write that:

[tex]\displaystyle h + g= 30[/tex]

And assuming that each horse has four feet and each geese has two feet, we can write that:

[tex]4h + 2g = 84[/tex]

This yields a system of equations:

[tex]\displaystyle \left\{\begin{array}{l} h + g = 30 \\ 4h + 2g = 84 \end{array}[/tex]

We can solve it using substitution. From the first equation, isolate either variable:

[tex]g = 30 - h[/tex]

From the second, we can first divide by two:

[tex]2h + g = 42[/tex]

And substitute:

[tex]2h + (30 - h) = 42[/tex]

Combine like terms:

[tex]h + 30 = 42[/tex]

Subtract:

[tex]h = 12[/tex]

Therefore, there are 12 horses.

And since the total number of animals is 30, there must be 30 - 12 or 18 geese.

In conclusion, there are 12 horses and 18 geese.

Answer:

[tex]a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\[/tex]

Step-by-step explanation:

[tex]y=x^2+7x-5\\\\=x^2+2*\dfrac{7}{2}*x +\dfrac{49}{4} -\dfrac{49}{4} -\dfrac{20}{4} \\\\=(x+\dfrac{7}{2} )^2+\dfrac{69}{4} \\\\a=\dfrac{7}{2} \\\\b=\dfrac{49}{4} \\[/tex]

Answer: 56.2 miles

Step-by-step explanation:

5.95+0-25x less or equal 20

0.25x less or equal 20 - 5.95

0.25x less or equal 14.05

X less or equal 14.05/0.25

X = 56.2

Katie can travel at most 56.2 miles in $20.

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called inequality.

According to the given question.

The total money Katie have = $20.

Amount charged by cab taxi for ride = $5.95

Charges for per mile ride = $0.25

Let Katie travel x miles without exceeding her expending limit.

From the given condition we get a inequality

[tex]20\geq 5.95+0.25x[/tex]

Solve the above inequality for x.

⇒[tex]20 - 5.95\geq 0.25x[/tex]

⇒ [tex]14.05\geq 0.25x[/tex]

⇒[tex]x\leq \frac{14.05}{0.25}[/tex]

⇒[tex]x\leq 56.2miles[/tex]

Katie can travel at most 56.2 miles in $20.

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16/9.................

Answer:

16/9

Step-by-step explanation:

Answer:

44 cm

Step-by-step explanation:

So we know that the bottom 12 is congruent to to the line at the top, so that is also 12. And the 5 is congruent to the other 3 lines with one hash mark going through it. So perimeter is the sum of all the side lengths on a polygon. So we have 12+12+5+5+5+5=44.

Hope this helps! :D

Answer:

The answer is $194

Step-by-step explanation:

Answer:

2k-15=15

Step-by-step explanation:

product if 2 and k is 2k

15 less than 2k is 2k-15

15<(2xk)

k = 15

2x15=30

15<30

hope this helps :)

Answer:

1 fish

Step-by-step explanation:

because it gaysjsjdjd

Answer:

The choose D. y=|x|–1

Your choice is right

I hope I helped you^_^

Answer:

C. 2.19

Step-by-step explanation:

Answer:

the answer is 1 : 2.4 because for every 1 inch on the original image there are 2.4 inches on the modified image.

Step-by-step explanation:

Step 1:

Measure the change in X and Y of a single length of the original image.

X1 = 3.5

Y1 = 5

Step 2:

Measure the change in X and Y of the same length on the modified image.

X2 = 8.5

Y2 = 12.5

Step 3:

use formula SF = X2/X1 = Y2/Y1

(SF = Scale Factor Dilation)

(X2 and Y2 = change in X and Y of the same length on the modified image.)

(X1 and Y1 = change in X and Y of a single length of the original image.)

X2 = 8.5

8.5/X1

X1 = 3.5

8.5/3.5

8.5/3.5 = 2.4

2.4

1 : 2.4

Answer:

The rate of change no [-1,4] is x

Answer:

Step-by-step explanation:

DC=2-0=2

Or

DC=√[(2-0)²+(-2-(-2))²]=√[4+(-2+2)²]=√4=2

BC=(0-(-2))=2

Or

BC=√[(2-2)²+(-2-0)²]

=√[0+4]

=2

AB=√[(2-0)²+(0-4)²]

=√[4+16]

=√20

=2√5

Perimeter=2[DC+BC+AB]

=2[2+2+2√5]

=2[4+2√5]

=8+4√5 Units

In the 24-hour clock system, midnight is written as _0h_

Answer:

00:00

Step-by-step explanation:

Step-by-step explanation

Then you count how many numbers are after the decimal point(6,0,0,5) making 4. So the decimal point will be inserted by counting 4 spaces from the back.

Answer:

If we divide 360 degree into four parts the all four parts hold 90 degree and the degree of angle DMB= 60.

60 degree.

Answer:

m<ABC = 92

Step-by-step explanation:

(3x + 23) and 4x are equal angle wise. So we have the equation:

(3x + 23) = 4x

3x = 4x - 23

-x = -23

x = 23

Multiply x by 4 which is 92

Answer:

Here is your answer . Hope it helps you

Answer:

p = -49

Step-by-step explanation:

-10 + 7/4p = -38

+7/4 p = -38 + 10. ..........(-10 taken to other side)

+7/4 p = -28

p = -28 × 7/4 ........( now taken 7/4 to other side)

p = -196/4 .......(here we have multiplied . (-28×7 )

p = -196/4

p = -49

so p = -49

MARK AS BRAINLIST IF IT IS USEFUL

Answer:

the function is always increasing

Step-by-step explanation:

if you look at the graph, as x increases, y increases, no matter how small the increase

Answer:

(1 )= ..x = (2)

Step-by-step explanation:

(1) = x = (2)

Answer: 1 ≤ x ≤ 2

Step-by-step explanation:

Given inequality

3 ≤ 6x - 3 ≤ 9

Add 3 on all sides

3 + 3 ≤ 6x - 3 + 3 ≤ 9 + 3

6 ≤ 6x ≤ 12

Divide 6 on all sides

6 / 6 ≤ 6x / 6 ≤ 12 / 6

[tex]\boxed{1}[/tex] ≤ x ≤ [tex]\boxed{2}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

you have not given full question.. so please try again.

may this will help you :

Descriptive statistics summarizes or describes the characteristics of a data set. Descriptive statistics consists of two basic categories of measures: measures of central tendency and measures of variability (or spread). Measures of central tendency describe the center of a data set.

Answer:

x = 17.6

Step-by-step explanation:

We know that a quadrilateral will have a total of 360 degrees. We can create an expression and solve for x.

5x + 7x + 3x + 6 + 90 = 360

~Combine like terms

15x + 96 = 360

~Subtract 96 to both sides

15x = 264

~Divide 15 to both sides

x = 17.6

Best of Luck!

Answer:

C.

$634.87

Step-by-step explanation:

A=500×(1+0.04÷4)^(4×6)

A=634.87

Answer:

The formula for determining the pressure, p, exerted on an object at a depth, h, below the surface of a liquid is p = s + dgh

[tex]p(pressure) = s(atmospheric \: pressure) + d(density \: of \: the \: liquid)g(acceleration \: due \: to \: gravity)h[/tex]

Step-by-step explanation:

where s is the atmospheric pressure, d is the density of the liquid and g is the acceleration due to gravity.

Answer:

1/6

Step-by-step explanation:

Answer: 64.8

Step-by-step explanation:

60/100=1944/x (cross multiplication

(1944*100)/60 = 3240

2% of 3240 =

2/100 = x/3240

64.8

( this helps with percentage (%/100=is/of) and cross multiplication)

Answer:

Answer = -34

Step-by-step explanation:

B = 4 ; y = -6

So,

-4 + (5) (−6)

= −4 + −30

= −34

Hope you get it :)

The value of expression will be;

⇒ - 34

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ - b + 5y

And, The values are,

⇒ b = 4, y = - 6

Now,

Since, The expression is,

⇒ - b + 5y

Substitute  b = 4, y = - 6, we get;

⇒ - 4 + 5 × - 6

⇒ - 4 - 30

⇒ - 34

Thus, The value of expression is,

⇒ - 34

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Answer:

the answer is 1787742.5

Step-by-step explanation:

this is usually a calculator question so use a calculator and put 1/2 ×1315×2719