“Solve the following system of equations using the method of substitution.” Please help!!!

Answer:

36

Step-by-step explanation:

So, taking 12 inches and 18 inches, we can figure out where they both meet. To do this, you want to change these number into a fraction (12/18). Simplifying this gives you 2/3. So if you flip this fraction (3/2) and then use these number and multiply them with the first numbers (so we do 3*12 and 2*18, they both equal 36, so they would both meet at 36, our final answer. they would also meet at 72, 108, 144, etc. if you were to keep going.

Answer:

Step-by-step explanation:

The theoretical probability of getting a 20 in 1 throw is 1/20 = 5%.

The more times you roll the dye the closer the experimental probability moves to the theoretical.

So  the probability will get  less than 25% and get closer to the theoretical 5%.

If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.

We have,

The probability of rolling a 20 on a fair 20-sided die is 1/20 or 0.05.

If the die is rolled 200 times and the observed probability of rolling a 20 is 25%,

We can calculate the number of times a 20 was actually rolled as follows:

Number of times a 20 was rolled

= Observed probability × Number of rolls

= 0.25 × 200

= 50

So, out of 200 rolls, 20 were rolled 50 times.

Now, if the die is rolled 10,000 more times, we can use the law of large numbers to expect the experimental probability of rolling a 20 to approach the true probability of 0.05.

The expected number of times a 20 will be rolled in 10,000 rolls is:

The expected number of times a 20 will be rolled

= Probability of rolling a 20 × Number of rolls

= 0.05 × 10,000

= 500

Therefore,

If the die is rolled 10,000 more times, we can expect the experimental probability of rolling a 20 to be close to 500/10,000, which simplifies to 0.05 or 5%.

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Answer:

1,680,000 shillings

Step-by-step explanation:

As one US dollar is 2800, and the dollar is repeated 600 times. You multiply Both

=2,800×600

=1,680,000 shillings

--~Hope you understood~--

Answer:

A

Step-by-step explanation:

Equation describing a circle: (x - x0)^2 + (y - y0)^2 = r^2

The given equation is: (x + 3)^2 + (y - 1)^2 = 4

=> (x - (-3))^2 + (y - 1)^2 = 2^2

Therefore, the answer is A.

Answer:

25 hour 40 minutes

Step-by-step explanation:

3 hrs X 7 is = 21 hours

then you mutliply 40 mins times 7 which is equal to 280mins

the you divide 280mins by 60 mins because 60 minutes is equal to an hour and you come out with 4 hours and 40 minutes which you add to 21 which is equal to 25 hours!

Hope This Helps!

f hi I chhiring Tamang I read in hdidieje

Answer:

Area of a triangle = 0.5 * base * height = 0.5 * 6 * 5 = 15 sq. ft

Answer:

Area = 0.5 * base * height

0.5 * 6 * 5 = 15

Area = 15 sq ft

Answer:

1 x 10^-7

Step-by-step explanation:

[H+] = 10^-pH

[H+] = 10^-7

Answer:

6 (3 ×10 ) + 2 (7)

6(30) + 14

180 + 14

= 194

Answer: 194

Step-by-step explanation:

Given:

6ab + 2c

a = 3, b = 10, c = 7

Solve:

1. Plug in what you know and solve for your answer

⇒ 6(3)(10) + 2(7)

⇒ 6(30) + 14

⇒ 180 + 14

⇒ 194

The perimeter of the figure to the nearest hundredth is 50.26 cm.

The perimeter of a figure is the sum of the whole sides of the figure.

The perimeter of the figure can be found as follows:

perimeter of the figure = 12 + 5 + 5 + circumference of the semi circle

circumference of the semi circle  = πr

where

perimeter of the figure = 22 + πr

perimeter of the figure = 22 + 3.14(9)

perimeter of the figure = 22 + 28.26

perimeter of the figure = 50.26 cm

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Answer:

II. a = 6 , b = 9.1 , c = 10.9

Step-by-step explanation:

I. a = 1.2 , b = 3.5 , c= 3.6

c² = a² + b²

3.6² = 1.2² + 3.5²

12.96 = 1.44 + 12.25

12.96 ≠ 13.69

These sides cannot create a right triangle.

II. a = 6 , b = 9.1 ,c = 10.9

c² = a² + b²

10.9² = 6² + 9.1²

118.81 = 36 + 82.81

118.81 = 118.81

Therefore, these sides can create a right triangle.

III. a = 6 , b = 8 , c = 9

c² = a² + b²

9² = 6² + 8²

81 = 36 + 72

81 ≠ 108

These sides cannot create a right triangle.

Answer:

We choose the coordinates (4,4), (4,10), and (8,4) as the vertices of right-angle triangle ABCWe want to dilate triangle ABC by scale factor of 2

Step-by-step explanation:

Answer:

x = 4 and x = -3

Step-by-step explanation:

⇒ x² + x = 12

⇒ x² + x - 12 = 0

⇒ x² + 3x - 4x - 12 = 0

⇒ x(x + 3) - 4(x + 3) = 0

⇒ (x - 4)(x + 3) = 0

⇒ x = 4 and x = -3

Hey there!

x^2 + x = 12

SUBTRACT 12 to BOTH SIDES

x^2 + x - 12 = 12 - 12

SIMPLIFY IT!
x^2 + x - 12 = 0

SET the FACTORS to EQUAL to 0

x - 3 = 0 OR x + 4 = 0

SIMPLIFY IT!
x = 3 or x = -4

Therefore, the answer is:

x = 3 or x = -4

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

I think is 4,0

Step-by-step explanation:

if u divide 28 by seven u would get 4 and u cant divide 28 by 5 sooo it would be a decimal but that isnt an option so imma say its the last one

Answer:

B,C,E

Step-by-step explanation:

Answer:

A, C, D

Step-by-step explanation:

A ray can have 2 endpoints

And because of that it can be named more than one way.

That means that  B&E are wrong

Answer:

[tex]x = 35[/tex]

Step-by-step explanation:

We can use Similar Triangles Ratios to solve for the missing side length. First setup your ratios:

[tex]\frac{42}{6} = \frac{x}{5}\\x = \frac{42}{6} \times 5\\x = 35[/tex]

Answer:

35

Step-by-step explanation:

The sides are in proportion.

Answer:

[tex]\frac{12}{5}[/tex]

Step-by-step explanation:

[tex]\sqrt{\frac{144}{25}}=\frac{\sqrt{144}}{\sqrt{25}}=\frac{12}{5}[/tex]

Given term:

[tex]\sqrt{\dfrac{144}{25} }[/tex]

This term can also be written as;

[tex]\implies \sqrt{\huge\text{(}\dfrac{144}{25} \huge\text{)}}[/tex]

Clearly, we can see that 144 and 25 are perfect squares. Then,

[tex]\implies\sqrt{\huge\text{(}\dfrac{12^{2} }{5^{2} } \huge\text{)}}[/tex]

According to an exponent property, (a²/b²) = (a/b)². Then,

[tex]\implies\sqrt{\huge\text{(}\dfrac{12}{5} \huge\text{)}^{2} }[/tex]

Since 12/5 is being squared inside the root, we can remove the squared symbol and take out 12/5 from the root. Then we get;

[tex]\implies\sqrt{\huge\text{(}\dfrac{12}{5} \huge\text{)}^{2} } \ = \ \dfrac{12}{5} \ = \ \boxed{2.4}[/tex]

Therefore, the simplified term is 2.4.

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Answer: ⬇️⬇️⬇️⬇️

Lateral area = 505 m² ; Surface area =  519 m²

Hope I helped

Lateral area = Perimeter x height  

Lateral area = (2 + 7 + 7.28) x 31 = 16.28 x 31 = 505 m²

Surface area = 2(1/2 x 2 x 7) + 505  = 519 m²

Answer: Lateral area = 505 m² ; Surface area =  519 m²

Answer:

C) [tex]\displaystyle\frac{-2}{(x+1)}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{f(x)-f(1)}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{1+5}{1+1}}{x-1}\\ \\\frac{\frac{x+5}{x+1}-\frac{6}{2}}{x-1}\\\\\frac{\frac{2(x+5)}{2(x+1)}-\frac{6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2(x+5)-6(x+1)}{2(x+1)}}{x-1}\\\\\frac{\frac{2x+10-6x-6}{2(x+1)}}{x-1}\\\\\frac{\frac{-4x+4}{2(x+1)}}{x-1}\\\\\frac{\frac{-4(x-1)}{2(x+1)}}{x-1}\\\\\frac{-4}{2(x+1)}\\ \\\frac{-2}{(x+1)}[/tex]

The total amount collected over the life of the bond is $7,500.

A bond is a debt instrument that entitles its holder to regular interest payments. At the end of the life of the bond, the bondholder receives the amount invested back.

Total earnings = interest + amount invested

(20 x 0.025 x 5000) = $2500

Amount invested = $5000

= 2500 + 5000 = $7,500

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Answer:

75 Miles apart

Step-by-step explanation:

I = inches on a map

I=25

3I=75

75 miles apart

Answer:

Heyyy!!!!

Alrighty... here it goes....

Step-by-step explanation:

3/4 + (-2 1/2)

okay... the first thing you have to do is convert 1/2 into fourths. that'll make it way easier to solve..... like way easier.....

then rewrite the expression to get 3/4 + (-2 2/4)

now we know that + - = -

basically you subtract since adding a negative makes you subtract...

3/4 - 2 2/4 gives you - 1 3/4

all you have to do is plot that on the number line and you should be good to go

Answer:

The sum of  1.8 and 1.56 is 3.36 according to the model

Sum of decimals

Given the expression  1.8 + 1.56

Using the partial sum method

1.8 + 1.56 = (1.0 + 0.8) + (1.0+0.56)

Regroup as whole and decimal number

1.8 + 1.56 = (1.0 + 1.0) + (0.8 +0.56)

1.8 + 1.56 = 2.0 + 1.36

1.8 + 1.56 = 3.36

Hence the sum of  1.8 and 1.56 is 3.36 according to the model

The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).

Hence, the den will not have double the volume of the bedroom.

Given the dimensions in the question, the bedroom and the den takes the shape of rectangular prism.

Volume of rectangular prism is expressed as;

V = l × b × h

Given that;

First we calculate the volume of the bedroom.

V = l × b × h

Vr = 10ft × 4ft × 7ft

Vr = 280ft³

Next, we determine the volume of the den

V = l × b × h

Vd = 20ft × 8ft × 14ft

Vd = 2240ft³

The volume of the den ( 2240ft³ ) is 1960ft³ more than the volume of the bedroom ( 280ft³ ).

Hence, the den will not have double the volume of the bedroom.

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Answer:

this is answer

Step-by-step explanation:

To graph a linear inequality in two variables (say, x and y ), first get y alone on one side. Then consider the related equation obtained by changing the inequality sign to an equality sign. The graph of this equation is a line. If the inequality is strict ( < or > ), graph a dashed line.

Answer:

12 cakes.

Step-by-step explanation:

There are 21/3 = 7 slices  from each cake.

84 / 7   = 12.

The theoretical probability = [tex]\frac{1}{2}[/tex], The experimental probability  = [tex]\frac{3}{5}[/tex]

Less than

The experimental probability of an event occurring is the number of times that it occurred when the experiment was conducted as a fraction of the total number of times the experiment was conducted.

The theoretical probability of spinning and odd number = [tex]\frac{4}{8}[/tex] = [tex]\frac{1}{2}[/tex]

The experimental probability =[tex]\frac{6}{10}[/tex] = [tex]\frac{3}{5}[/tex]

Since  [tex]\frac{1}{2}[/tex]<  [tex]\frac{3}{5}[/tex]

So, the theoretical probability less than the experimental probability.

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