what ordered pairs are the solutions of the system of equations shown in the graph below

Answer:

the interest is 5.42

Step-by-step explanation:

Answer:

Interest = 5.42

Step-by-step explanation:

Solving for M1 in terms of Fg, G, M2 and r yields;

To solve for M1 in terms of F, G, M2 and r;

We are required to make M1 the subject of the formula as follows;

By cross product;

Afterwards; by dividing through by G M2; we have;

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Answer:

The correct option is:

14 inches

Step-by-step explanation:

The question is incomplete because the picture of the flap is not shown in the question nor the measurements are given. First lets complete the question. The figure was this question is attached below.

We can see that the bottom width of the trapezoid is 9 inches, the top width of the trapezoid is 5 inches, and it has a height of 2 inches.

The area of trapezoid is given as:

Area = ((Top width + Bottom width)/2) · h

Area = ((9+5)/2) · 2

Area = (14/2) · 2

Area = 7 · 2

Area = 14 inch²

Answer:

14

Step-by-step explanation:

3x-9≤12

3x≤21

x≤7

-5x+10≤20

-5x≤10

x≥-2

Answer:

X = 4

Step-by-step explanation:

First, You need to rewrite the expression to look like this

9 - 3x = 12

An inequality basically means equals and the next step is to subtract 9 from both sides so it would look like this

3x = 12

Then divide both sides by 3 to get

x = 4

Answer:

Car 1 consumes 30 gallons of gas.

Car 2 consumes 20 gallons of gas.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

1. Factor a negative one out of the problem.

-1( 7x^2 +5x -18)

2. Factor.

 {Factors of 7= 7 &1}

3. (7x ___) (x _____)

Factors of 18= 6,3,18,1,2,9

5 needs to be postive.

Answer:

Reduce every dimension except thickness by 20%.

The requried new dimensions of the candy bar are approximately 3.4775 cm in length, 2 cm in width (maintained), and 2 cm in thickness.

To find the dimensions of the new candy bar after reducing the volume by 20%, we need to determine the reduction in length and width.

Let's start by calculating the original volume of the candy bar using the formula: volume = length × width × thickness.

Original volume = 13 cm × 7 cm × 2 cm = 182 cm³

Since the management wants to reduce the volume by 20%, we need to find 20% of the original volume and subtract it from the original volume.

20% of 182 cm³ = 0.2 × 182 cm³ = 36.4 cm³

Reduced volume = 182 cm³ - 36.4 cm³ = 145.6 cm³

Now, we need to determine the new dimensions while maintaining the 2 cm thickness.

Let's assume the reduction in length and width is x cm for both dimensions.

The new volume can be calculated using the formula:
volume = (length - x) × (width - x) × thickness.

Setting this equal to the reduced volume, we have:

(13 - x) × (7 - x) × 2 = 145.6

Simplifying and rearranging the equation, we get:

(91 - 20x + x²) = 72.8

x² - 20x + 18.2 = 0

Using the quadratic formula, we can solve for x:

[tex]x = \dfrac{-(-20)\pm \sqrt{(-20)^2- 4(1)(18.2)}} {2(1)}\\x = \dfrac{20 \pm \sqrt{400 - 72.8}} {2}\\x =\dfrac {20 \pm \sqrt{327.2}} {2}[/tex]

x ≈ (20 ± 18.09) / 2

Taking the positive value, we have:

x ≈ (20 + 18.09) / 2

x ≈ 19.045 / 2

x ≈ 9.5225

Since the dimensions cannot be negative, we discard the negative value.

Therefore, the reduction in length and width is approximately 9.5225 cm.

To find the new dimensions, we subtract this value from the original length and width:

New length = 13 cm - 9.5225 cm ≈ 3.4775 cm

New width = 7 cm - 9.5225 cm ≈ -2.5225 cm (discard as it is negative)

Therefore, the new dimensions of the candy bar are approximately 3.4775 cm in length, 2 cm in width (maintained), and 2 cm in thickness.

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Answer:

70 000 200, 7 030 400, 790 300, 709 400, 78 300, 70 800

Step-by-step explanation:

Greatest is always the number with the most digits.

Answer:

70 000 200, 7 030 400, 790 300, 709 400, 78 330, 70 800

Step-by-step explanation:

To answer this I simply needed to know the orders of numbers from ones, tens, hundreds, thousands, ten thousands, hundred thousands, millions, tens of millions, and hundreds of millions. You must also know which digits hold the most value.

[tex]1\\10\\100\\1,000\\10,000\\100,000\\1,000,000\\10,000,000\\100,000,000[/tex]

Answer: 0.01.

Step-by-step explanation:

Given: A computer randomly generates a 5-digit string using numbers between 0 and 9 inclusive.

i.e. each place in 5 digit number has 10 choices.

Total ways to make such a number = [tex]10^5=100000[/tex].

If the first two digits in the string are a 4 and a 2, in that order, then the number of ays to make this kind of number = 1 x 1 x 10 x 10 x 10 = 1000  [as 4 and 2 can be put on first and second place in 1 way ]

Now, the probability that the first two digits in the string are a 4 and a 2 , in that order = [tex]\dfrac{1000}{100000}=\dfrac{1}{100}=0.01[/tex]

Hence, the probability that the first two digits in the string are a 4 and a 2 , in that order = 0.01.

Answer:

4*5*5*2=200 numbers

Step-by-step explanation:

this is because 2,4,6,8 can be the first digit.

2,4,6,8,0 can be the second same for the third.

2 digits can be divisible by 5 which are 5, 0. If it has a 0 at the end it is divisible by 10 which means it is divisible by 5.

Answer:

100 numbers

Step-by-step explanation:

Since there are four digits, the answer will be the product of four numbers. The first digit has to be either 2,4,6, or 8 because it is a four digit number with all even digits. Same for the next two numbers, but zero is also a possibility. The question asks for a number divisible by 5, so the last digit must be a 0 in order to qualify as an even number. So the answer would be 4*5*5*1 (number of possible digits) which is 100.

Answer: 3/4

Step-by-step explanation:

Following the rise over run rule it goes 4 on the x axis and then 3 on the y axis

Answer:

32% of the students did not have a pet.

Step-by-step explanation:

From the total students (100%):

Answer:

3.625 is ans

Step-by-step explanation:

4.5+0.25_+1.125=3.625

Step-by-step explanation:

this is your answer sis ...

Answer:

It's Rational. Hopes this helps you!

Step-by-step explanation:

Answer:

$325

Step-by-step explanation:

Let x be the price of the washer.

Let y be the price of the dryer.

x + y = 708

x = y + 58

Put x as y+58 in the first equation and solve for y.

y + 58 + y = 708

2y + 58 = 708

2y = 650

y = 650/2

y = 325

Put y as 325 in the second equation and solve for x.

x = 325 + 58

x = 383

The cost of the washer is $383.

The cost of the dryer is $325.

Answer:

Step-by-step explanation:

Cost of dryer = $ d

Cost of washer = d + 58

Total cost = $ 708

d + (d + 58) = 708

2d + 58 = 708

         2d = 708 - 58

         2d = 650

           d = 650/2

      d = 325

Cost of washer = 325 + 58 = $ 383

Cost of dryer = $ 325

Answer:

x = 8

Step-by-step explanation:

Let us take the breadth as 'x'

breadth = x

length = 3 + x

perimeter = 38m

perimeter of a rectangle = 2 ( l + b )

= 2( x + x + 3 ) = 38

4x + 6 = 38

4x = 38-6

x = 32/4

x = 8

breadth = 8

length = 11

Answer:

16 squares

Step-by-step explanation:

Answer:

40 ≤ y ≤ 100

Step-by-step explanation:

Answer: Domain must include the x value. With a maximum of 30 people allowed in the theater, the domain is between 0 and 30, or 0<x>30

Step-by-step explanation:

Answer:

0.9332

Step-by-step explanation:

Using the normal distribution, it is found that the area under the standard normal curve to the left of z = 1.5 is of 0.9332.

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

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

Looking at the standard normal table:

Thus, the area under the standard normal curve to the left of z = 1.5 is of 0.9332.

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Answer:

Find a common denominator on the right side of the equation

Step-by-step explanation:

I was taking the test and couldn't find the answer to this question anywhere so let me help you out...  

abidemiokin provided a wonderful step-by-step explanation for solving the formula, but left out the actual answer for the question which is what I'm here for. I read through abidemiokin's explanation and reviewed my options before choosing the best answer. As you see in step 5 of my edited version of abidemiokin's explanation the missing step is there. In the provided question we see steps 1,2, 3, and 4 being identical to those in the explanation below. From this, it is clear the next step (step 5) would be the next step, and as it is one of the options we can trust that it is correct.

(If you still have doubts then trust the fact that I took the test and the answer I provided above was indeed correct.)

Given the quadratic equation ax²+bx+c = 0, to derive the quadratic formula from the equation, the following steps must be followed;

ax²+bx+c = 0

Step 1: Subtract c from both sides

ax²+bx+c-c = 0-c

ax²+bx = -c

Step 2: Divide both sides of the equation by a

ax²/a + bx/a = -c/a

x² + bx/a = -c/a

Step 3: Complete the square and add the quantity (b/2a)² times a squared to both sides

x² + bx/a +  (b/2a)² = -c/a +  (b/2a)²

Step 4: Square the quantity  b/2a on the right side of the equation

x² + bx/a +  (b/2a)² =  -c/a +  b²/4a²

Step 5: Find a common denominator on the right side of the equation which is 4a²

x² + bx/a +  (b/2a)² =  -4ac/4a² +  b²/4a²

Step 6: Add the fractions together on the right side of the equation

x² + bx/a +  (b/2a)² =  (-4ac+  b²)/4a²

Note: The fraction at the right-hand side of the equation is to be added together not multiplied as shown in the question.

Step 7: The equation on the left is to be written as a perfect square as shown

(x+b/2a)² =  (-4ac+  b²)/4a²

Step 8: Take the square root of both sides

√(x+b/2a)² = √ (-4ac+  b²)/4a²

(x+b/2a) =  √(-4ac+  b²)/2a

Step 9: subtract b/2a from both sides

x+b/2a - b/2a =  -b/2a + √(-4ac+  b²)/2a

x =  -b/2a + √(-4ac+  b²)/2a

Step 10: Add the fractions together on the right-hand side

x =  -b±√(-4ac+  b²)/2a

This gives the required equation

Answer: A  Find a common denominator on the right side of the equation

Step-by-step explanation: Took the test of FLVS

Answer:

The answer is given below

Step-by-step explanation:

Let the number of passengers that boarded the bus at the interchange be x.

At the first  bus stop, 1/4 of the passengers alighted the bus and 6 people boarded the  bus.

Therefore The number of passengers when the bus left the first bus stop = [tex]x-\frac{1}{4}x +6=\frac{3}{4}x+6[/tex]

At the 2nd bus stop, 8/15 of the passengers alighted and 10 passengers  boarded the bus.

Therefore The number of passengers when the bus left the second bus stop

[tex]=\frac{3}{4}x+6-\frac{8}{15}( \frac{3}{4}x+6)+10=\frac{3}{4}x+6-\frac{8}{20}x-3.2+10\\\\=\frac{7}{20}x+12.8[/tex]

Given that there were 24 passengers on the bus when it left the  2nd bus stop

[tex]\frac{7}{20}x+12.8=24\\7x+256=480\\7x=480-256\\7x=224\\x=32[/tex]

Therefore 32 passengers boarded the bus at the interchange

Answer:

b^ (m-n)

Step-by-step explanation:

When the bases are the same, when dividing, we subtract the exponents

b^m/b^n

b^ (m-n)

Answer:

n = [tex]\frac{5}{3}[/tex] (C - 2.5)

Step-by-step explanation:

Given

C = [tex]\frac{3}{5}[/tex] n + 2.5 ( subtract 2.5 from both sides )

C - 2.5 = [tex]\frac{3}{5}[/tex] n

Multiply both sides by [tex]\frac{5}{3}[/tex] to clear the fraction

[tex]\frac{5}{3}[/tex] (C - 2.5) = n

Answer:

n = 5/3(C - 2.5)

Step-by-step explanation:

C = 3/5n + 2.5

Subtract 2.5 on both sides.

C - 2.5 = 3/5n

Multiply 5/3 on both sides.

5/3(C - 2.5) = n

Answer:

[tex]f^{-1}(x)=\frac{3(x-5)}{5}[/tex]

Step-by-step explanation:

[tex]f(x)=y=\frac{5x}{3}+5\\y-5=\frac{5x}{3}\\3(y-5)=5x\\x=\frac{3(y-5)}{5}\\ => f^{-1}(x)=\frac{3(x-5)}{5}[/tex]

The inverse of the linear function, f(x),  f(x) =5x/3 +5 is f⁻¹(x) = 3 (x -5) / 5. The correct option is  f⁻¹(x) = 3 (x -5) / 5

The inverse of a function is a function that reverses the effect the original function.

Here, we have,

The original function is; f(x) =5x/3 +5

The inverse of f(x) can therefore be found by making x the subject of the equation as follows;

f(x) = 5x/3 +5

f(x) -5 = 5x/3

(f(x) -5) 3 = 5·x

x = (f(x) -5) 3 / 5

x = 3 (f(x) -5) / 5

Plugging in x = f⁻¹(x) and f(x) = x, in the above equation, we get;

f⁻¹(x) =  3 ((x) -5) / 5

f⁻¹(x) = 3 (x -5) / 5

The correct option that is an inverse of f(x) is f⁻¹(x) = 3 (x -5) / 5.

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Answer:

A, B, D

Step-by-step explanation:

Answer:

33.33 %

Step-by-step explanation:

Difference:

=> 27 - 18 = 9

%age Increase:

=> [tex]\frac{9}{27} * 100 %[/tex]

=> 33.33 %

Answer:

33.3 %

Step-by-step explanation:

Answer:

y=-6

Step-by-step explanation:

The line shown is a horizontal line via the y-axis and has the equation y=4. A parallel line to it is a line that doesn't pass it. It may even have the form y=a wherein a is the y-coordinate of its points. The point (-4,-6) is on the line so y=-6 is the line.

please mark me brainliest!

y=-6 is the  equation of the line that is parallel to the given line and passes through the point (-4,-6 )

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The slope of the line passing through points ( -8, 4) and (8, 4)

m=4-4/8+8

=0

Slope is zero.

The slope of the parallel line will be also zero.

Now equation of line passing through (-4, -6) which is parallel.

Let us find y intercept

-6=-4(0)+b

-6=b

So the equation will be y=-6.

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Answer:

4

Step-by-step explanation:

Answer:

See Explanation Below

Step-by-step explanation:

Given

[tex]-3(-3 + 2) - 6[/tex]

Required

Drag the steps

Note that not all steps in the given diagram will be used;

Step 1: Perform Multiplication; 9 + -6 - 6

Step 2: Simplify: -3

Further Explanation:

Step 1 is gotten by opening the bracket;

[tex]-3(-3 + 2) - 6[/tex]

[tex]9 +-6 - 6[/tex]

Step 2 is gotten by solving step 1 further

[tex]9 +-6 - 6[/tex]

[tex]9 - 6 - 6[/tex]

[tex]9 - 12[/tex]

[tex]-3[/tex]

Answer:

a) 1/3

b) 7/9

Step-by-step explanation:

The first part asks for the probability that Matt takes the red counter.

There are 6 red counters out of total 6+4+8 = 18 counters.

6/18

Simplify the fraction.

= 1/3

The second part asks for the probability that the counter is not blue.

The counters that are blue are 4. Not blue becomes 18-4 = 14. 14 red or green counters out of total 18.

14/18

= 7/9

Answer:

Total outcome =  6 + 4 + 8 = 18

a) Probablity that the counter is red = 6/18 = 1/3

b) Probablity that the counter is blue = 14/18 = 7/9