how many square yards are contained in a rectangle 12 yards long and 8 yards wide​

Answer:

Option D.

Step-by-step explanation:

The given system of equations is

[tex]5x+2y=8[/tex]    ...(1)

[tex]-4(1.25x+0.5y=2)[/tex]      ...(2)

On simplifying the second equation, we get

[tex]-5x-2y=-8[/tex]

On dividing by -1, we get

[tex]5x+2y=8[/tex]       ...(3)

It is clear that equation (1) and (3) are same equations. It means equation (1) and (2) represent the equivalent equation.

So, the given system of equations has infinitely many solutions.

Therefore, the correct option is D.

Answer:

infinitely many solutions

Step-by-step explanation:

Because if it is at zero zero the equations represent the same line on a graph.

It can't be A because -4 -4 is a point on a graph would intersect there and that means -4-4 is answer to the equation

It cant be B for the same reason as A

It cant be no solution because then the graph lines would be parellel

Finnaly i took the test on edge2020 and got a 100

Hope this helps yall pls hit that THANKS button below have a great day

This is the question that is after it and it goes along with the question above so I thought why not kill two birds with one stone

The system of equations shown is solved using the linear combination method

StartLayout 1st row 1st column 6 x minus 5 y = negative 8 right-arrow 2nd column 6 x minus 5 y = negative 8 right-arrow 6x minus 5 y = negative 8 2nd row 1st column negative 24 x + 20 y = 32 right-arrow one-fourth (negative 24 x + 20 y = 32) right-arrow negative 6 x + 5 y = 8 with Bar Underscript 3rd row 3rd column 0 = 0 EndLayout

What does 0 = 0 mean regarding the solution to the system?

There are no solutions to the system because the equations represent parallel lines.

There are no solutions to the system because the equations represent the same line.

There are infinitely many solutions to the system because the equations represent parallel lines.

There are infinitely many solutions to the system because the equations represent the same line.    

The correct answer is C also because of my  first answer and response to the other question

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▹ Answer

-a - 2b - 9c

▹ Step-by-Step Explanation

(-2a - 4b - 6c) - (-a - 2b + 3c)

Remove parentheses

-2a - 4b - 6c - (-a - 2b + 3c)

Collect like terms

-a - 4b - 6c + 2b - 3c

Final Answer

-a - 2b - 9c

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

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Answer: -a - 2b -9c

Step-by-step explanation:

-2a - (-a) = -a

-4b - (-2b) = -2b

-6c - (3c) = -9c

-a - 2b - 9c

I would say World Health Organization because that is for the world and Sally dreams of going to medical school and giving quality medical care to people who live in countries in crisis.

Answer:

B

Step-by-step explanation:

I took the test ;P

Answer:

Answer is A

Step-by-step explanation:

Answer:

Option A is the correct option

solution,

[tex] \frac{8x + 7}{ {x}^{2} + 4x + 5 } - \frac{5x - 6}{ {x}^{2} + 4x + 5} \\ = \frac{8x + 7 - (5x - 6)}{ {x}^{2} + 4x + 5} \\ = \frac{8x+ 7 - 5x + 6}{ {x}^{2} + 4x + 5 } \\ = \frac{8x - 5x + 7 + 6}{ {x}^{2} + 4x + 5 } \\ = \frac{3x + 13}{ {x}^{2} + 4x + 5 } [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

420 unit^2.

Step-by-step explanation:

Use  the formula area = √(s(s-a)(s-b)(s-c)   where s = the semi-perimeter and ab and c are the 3 sides. (it is called Heron's Formula).

s = (29+29+42)/ 2

= 100/2

= 50.

Area = √50(50-29)(50-29(50-42)

= √176400

= 420.

The area of △ABC is 420 square units.

The formula for calculating Heron's formula is expressed as √(s(s-a)(s-b)(s-c)  

where:

Get the value of "s"

s = (29+29+42)/ 2

s = 100/2

s = 50.

Get the required area:

Area = √50(50-29)(50-29(50-42)

Area = √176400

Area = 420.

Hence the area of △ABC is 420 square units.

Learn more on area of triangle here: https://brainly.com/question/17335144

Answer:

8.08%

Step-by-step explanation:

Suppose several high schools in a city are sponsoring a walk-athon to raise money for a local charity. A certain route is mapped out through the city and each participant finds sponsors to donate money for the walk. If a participant completes the walk under a certain time, extra money will be donated. You are responsible for recording the finishing times for each of the participants. After collecting all of the data, you determine that the finishing times are normally distributed with a mean of 2.6 hours and a standard deviation of 0.3 hour.

Answer:

Given that:

Mean (μ) = 2.6 hours and standard deviation (σ) = 0.3 hour, n = 2

The z score is used in statistics to determine the amount of standard deviation by which the raw score is above or below the mean. It is given by the equation:

[tex]z=\frac{x-\mu}{\sigma}[/tex], where x is the raw score.

If the sample size (n) is taken then the z score is given by:

[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex]

Therefore for this problem the z score is:

[tex]z=\frac{x-\mu}{\frac{\sigma}{\sqrt{n} } }=\frac{2.9-2.6}{\frac{0.3}{\sqrt{2} } }=1.41[/tex]

From the normal distribution table, probability that two randomly chosen players completed the walk in 2.9 hours or more = P(x > 2.9) = P(z > 1.41) = 1 - P(z < 1.41) = 1 - 0.9192 = 0.0808 = 8.08%

Answer:

The distance between X and Y is 68m

Step-by-step explanation:

Consider the diagram attached:

A person starts from X, goes to Y, and then finally goes to Z, covering a total of 100m, where Z is located 60m in north of X.

We have to find distance XY.

Let the distance XY be x

Total distance covered by the person = XY + YZ

We know that total distance covered is 100m, so

100m = x + YZ

YZ = (100 - x)m

See the diagram, XZY forms a right angled triangle such that:

Hypotenuse = XY = x

Base = XZ = 60m

Perpendicular = YZ = (100-x)m

Using Pythagoras theorem

Hypotenuse² = Base² + Perpendicular²

x² = (60)² + (100-x)²

Solve the equation for x, we get:

x = 68m

Answer:

Please explain the question more.... but he can have 5 managers at 5 stores while he looks for other qualified individuals or manages the others himself.

Step-by-step explanation:

Answer:

f(x) = (x + 2)2 = 2x + 4

g(x) = 3(x - 1) = 3x - 3

gf(x) = (2x + 4)(3x - 3)

= 6x² - 6x + 12x - 12

= 6x² + 6x - 12

To write the final answer in the form

a(x² + bx + c) we factorize the expression

Thus

6x² + 6x - 12

= 6( x² + x - 2)

where a = 6, b = 1 and c = - 2

b.) to find g '(12) we first find g ′

To find g′ equate g(x) to y

Thus

g(x) = y

y = 3x - 3

x = 3y - 3

3y = x + 3

Divide both sides by 3

We get

y = x+3/3

That's g′ = x + 3 / 3

g′(12) = 12 + 3 / 3

= 15/3

= 5

Hope this helps

Answer:

These are ordered 1, 2, 3, 4

Answer:

The answer to this problem is -3x - 7

Step-by-step explanation:

-3x - 6 + (-1)

Add -6 to -1.

-3x - 7

So, the final answer to this problem is -3x - 7.

Answer:

a = -3  b = -5 and c = 9

Step-by-step explanation:

−3x^2 − 5x + 9 = 0

The quadratic function is written as

ax^2 + bx+c =0

So a = -3  b = -5 and c = 9

Answer:

a = -3, b = -5 and c = 9

Step-by-step explanation:

Given Quadratic Equation is:

=> [tex]-3x^2-5x+9[/tex]

Comparing it with standard form of quadratic equation [tex]ax^2+bx+c[/tex], we get

=> a = -3, b = -5 and c = 9

Answer:

Books = 50

Magazines = 150

Step-by-step explanation:

b + m = 200

b = 200 - m..................(1)

15b + 5m = 1500

Substituting,

15(200-m) + 5m = 1500

3000 - 15m + 5m = 1500

-10m = 1500 - 3000

m = 1500 / 10 = 150

b = 200 - 150 = 50

Answer:

Equation of a line is y = mx + c

where m is the gradient

c is the y intercept

y = 4x - 1

Comparing with y = mx + c

The gradient = 4

y intercept = - 1

[tex]y = \frac{1}{3} x + 3[/tex]

Comparing with y = mx + c

The gradient is 1/3

The y intercept is 3

Hope this helps you

Answer:

4 and  -1

1/3 and 3

Step-by-step explanation:

for y=4x-1

y intercepts where  x=0 so f(0)=4*0-1=-1

y intecepts = -  1

the gradient is y2-y1/x2-x1 where y2=f(x2)=4x2-1 and y1=f(x1)=4x1-1

the gradient is 4x2-1-4x1+1/x2-x1=4 ( the coeficient of x)

for y=1/3x+3

the gradient is 1/3

y intercepts is f(0)=3

Answer: The answer is A:

Step-by-step explanation:

2.6 multiplied by 10 to the power 9 over all of 1.3 multiplied by 10 to the power 2 looks like this-

[tex]2.6[/tex] × [tex]10^{9}[/tex] / [tex]1.3[/tex] × [tex]10^{2}[/tex]                       or                           [tex]2.6[/tex] × [tex]10^{9}[/tex] ÷ [tex]1.3[/tex] × [tex]10^{2}[/tex]

Basically a fraction means dividing.

Formula example picture:

According to the Quotient Rule, you have to divide two exponents with the same base, and keep the base and subtract the powers.

Back to the Explanation:

Since you have to divide or subtract with the same base,

[tex]10^{9} - 10^{2}[/tex]  remember only subtract the exponents with the quotient rule, and subtract in the same order.

so [tex]10^{9} -10^{2} = 10^{7}[/tex]

now lets move on to 2.6 and 1.6, like the exponents we subtract 2.6 and 1.6.

[tex]2.6 -1.3=1.3[/tex]

so the final answer would be [tex]1.3[/tex] × [tex]10^{7}[/tex]  

Hope you understood! Drink some water and take a break, don't stress! You got this! :)

Answer:

i think suzy will put 15 red counters into the bag​

Step-by-step explanation:

Answer:

an = 8 + (n-1) *(-6)

Step-by-step explanation:

The explicit formula is

an = a1+ d (n-1)  where a1 is the initial value and d is the common difference

The initial value is 8  so a1 = 8

The common difference is what we are adding or subtracting each time

We are subtracting 6 each time as we see from the recursive forumla

so d = -6

an = 8 -6(n-1)

or

an = 8 + (n-1) *(-6)

Answer:

C

Step-by-step explanation:

[tex]a_{n}-a_{n-1}=-6\\d=-6\\a_{n}=a_{1}+(n-1)d\\a_{n}=8+(n-1)(-6)[/tex]

Answer:

g=1.5

Step-by-step explanation:

-0.4+0.9=0.5

0.5*3 1.5

Answer:

5

Step-by-step explanation:

6 - 3 = 3

√4 = 2

3 + 2 = 5

Answer:

5

Step-by-step explanation:

6-3 + sqrt(4)

PEMDAS says do the sqrt first

6-3 +2

Then add and subtract

3 +2

5

Answer:

3 pizza

Step-by-step explanation:

four people eat 3/4 of pizza

4*3/4=12/4=3 pizzas

Answer:

I’m not too sure what your question is exactly but if your just trying to graph the two equations I can help u with that (:

Step-by-step explanation:

The first thing you should do is change the second equation to slope intercept form. It is much easier for most people. From there write out your table by choosing a number for x then plugging that number into the equation to find y. For the first equation (y=1/3x+2) it’s always easier to use multiple of three for the number of x. For example, if 3 was my number for x I would multiply 1/3 by 3=1 then simply add 2=3. So the coordinates for one point on that table would be 3,3. You continue to do that for each graph then plot your points. (In my graph, purple is the equation y+9=-9/3x-9 and black equals the equation y=1/3x+2

Answer:

(-6, 4)

Step-by-step explanation:

y= -1/3x+2

y+4= -4/3x ⇒ y= -4/3x-4

Comparing the 2 equations, we get:

So the solution is point (-6, 4)

Answer:

10,000

15,625,000

Step-by-step explanation:

Squaring a number means multiplying a number by itself.

100^2=100*100=10,000

Cubing a number means multiplying a number by itself 3 times.

250^3=250*250*250=15,625,000

Hope this helps ;) ❤❤❤

Answer:

10000

15,625,000

Step-by-step explanation:

100 x 100 = 10000

250 x 250 x 250 = 15,625,000

Answer:

[tex]\frac{200}{1} * \frac{3}{4} = 150g[/tex] < butter

[tex]\frac{180}{1}*\frac{3}{4} = 135g[/tex] < castor sugar

[tex]\frac{20}{1}*\frac{3}{4} = 15g[/tex] < chocolate chips

full working out :)

Answer: explain it a bit more

Step-by-step explanation:

Answer:

f-1(x)=(x+7)/9

Step-by-step explanation:

Try going at the problem backwards. The function first multiplies x by 9 then subtracts 7, so the opposite route for the inverse. Add 7 to x and then divide everything by 9

Question:

Find the inverse of function f. F(x) = 9x-7

Answer:

D. F-1(x)= 1/9x-7/9

Answer:

6(π + 1) cm

Step-by-step explanation:

d = 2r

P(s.circle) = πd + d

= π·2·3cm + 2·3cm

= π·6cm + 6cm

= 6(π + 1) cm

here is the answer hope this helps

Answer:

The enthalpy change per mole of sodium when sodium reacts with water is 28.36 kJ

Step-by-step explanation:

The given parameters are;

Mass of sodium = 8 grams = 0.008 kg

Volume of water = 227 cm³ = 0.000227 m³

Initial water temperature, T₁ = 298 K

Final water temperature, T₂ = 308.4 K

Specific heat capacity of water = 4.18 J/(K·g)

Density of water = 1000 kg/m³

Mass of water = 1000×0.000227 = 0.227 kg = 227 g

Heat change, ΔH = m×c×ΔT = m×c×(T₂ - T₁)

ΔH = 227*4.18*(308.4 - 298) = 9868.144 J = 9.868 kJ

Molar mass of sodium = 22.989769 g/mol

Therefore, 8 grams contains;

8/22.989769 = 0.348 moles of Na

Which gives the enthalpy change per 0.348 moles of Na when sodium reacts with water = 9.868 kJ

Therefore, when one mole of Na reacts with water we have;

The enthalpy change per 0.348/0.348 = 1 mole of Na when sodium reacts with water = 9.868 kJ/0.348 = 28,358.3 J = 28.36 kJ.

Answer:

a=7

Step-by-step explanation:

3a+4=a+18

-1a      -1a

2a+4=18

-4       -4

2a = 14

÷2   ÷2

a=7

Answer:

a = 7

Step-by-step explanation:

3a + 4 = a + 18

Add -a and -4 on both sides.

3a - a = 18 - 4

2a = 14

Divide 2 into both sides.

a = 14/2

a = 7