Which of these strategies would eliminate a variable in the system of equations? 5x + 3y = 9
4x - 3y = 9 Choose all answers that apply: (Choice A) A Subtract the top equation from the bottom equation. (Choice B) B Add the equations. (Choice C) C Subtract the bottom equation from the top equation.

Answer:

[tex] \sqrt{29-12\sqrt{5} }[/tex]

[tex]\sqrt{9 - 12 \sqrt{5} + 4 \times 5}[/tex]

[tex]\sqrt{ {3}^{2} - 12 \sqrt{5} + {(2 \sqrt{5}) }^{2} }[/tex]

[tex]\sqrt{{(3 - 2 \sqrt{5} )}^{2}}[/tex]

[tex]{(3 - 2 \sqrt{5} )}[/tex]

Answer:

34,220

Step-by-step explanation:

Because order doesn't matter, but the numbers can't be repeated, we need to find the number of combinations where 3 individual numbers can be chosen out of 60 possible numbers using the binomial coefficient:

[tex]\binom{n}{k}=\frac{n!}{k!(n-k)!}\\ \\\binom{60}{3}=\frac{60!}{3!(60-3)!}\\\\\binom{60}{3}=\frac{60!}{3!(57)!}\\\\\binom{60}{3}=\frac{60*59*58}{3*2*1}\\ \\\binom{60}{3}=34220[/tex]

Thus, Elias can make 34,220 unique 3-number codes given 60 different numbers.

Answer:

  use a scale that starts at 0

Step-by-step explanation:

The graph is misleading because the vertical scale does not start at zero.

__

To better represent the brand relationship, the vertical axis should start at zero. The amounts differ by less than 1/2%, so the bars on that scale would appear to have virtually identical heights.

Answer: False

Step-by-step explanation:

I checked with a graphing app huhu... sorry TT

The vertices are (8, -1) , (-4, -1).

Answer:

A) 3

B) 3

C) 3

D) 3

I think those are the first four

Step-by-step explanation:

Using the probability concept, it is found that:

a) P(girl) = 1/3, which means that 1/3 = 33% of the time, the first batter will be a girl.

b) P(boy) = 2/3, which means that 2/3 = 67% of the time, the first batter will be a boy.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, in a total of 15 people, 5 are girls and 10 are boys, hence:

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Answer:

Step-by-step explanation:

Given dimensions of

Find the lateral surface area of both figures

Find the ratio A/B

Answer:

2664.8 miles left to drive

Step-by-step explanation:

4304 miles driven

subtract 1639.2 miles driven

total left is 2664.8 miles yet to drive

Answer:

75% because the ratio is 1:4 so the probability of the next being minestrone is high.

Answer:

6

Step-by-step explanation:

Answer:

52 hours

Step-by-step explanation:

figure it out genius

An online store ships 15 orders every 5 hours. It will take approximately 52 hours to ship 156 orders at this rate.

Use the concept of ratio defined as:

A ratio indicates how many times one number contains another number. The ratio of two numbers is written as x : y, which is equivalent to x/y.

Where x and y are individual amounts of two quantities.

And, the Total quantity is given after combining as x + y.

Given that,

Online store ships packages at a rate of 15 orders every 5 hours.

We need to determine how many hours it will take to ship 156 orders.

The rate can be expressed as 15 orders per 5 hours or 15/5.

To figure this out,

Set up a proportion.

If the online store ships 15 orders every 5 hours,

Then the rate is 15 orders per 5 hours, or 15/5.

Now, let's set up the proportion:

15/5 = 156/x

To solve for x, cross multiply:

15x = 5(156)

Now, divide both sides of the equation by 15 to isolate x:

x =780/15

Calculating that out, x is equal to 52.

Hence, it will take approximately 52 hours to ship 156 orders at the given rate.

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Answer:

Yes

Step-by-step explanation:

Euler's Formula for Polyhedrons :

Faces + Vertices = Edges + 2

Given :

Verifying using Euler's Formula :

The given shape is a polyhedron using the Euler's formula.

Polyhedron is defined as the three dimensional shape which consists of flat shapes which are polygons.

Cubes, pyramids are all polyhedrons.

Euler's formula for polyhedron states that,

V - E + F = 2

where V, E and F are the number of vertices, number of edges and the number of faces respectively.

For the given polyhedron,

Number of vertices, V = 6 + 6 = 12

Number of edges, E = 6 + 6 + 6 = 18

Number of faces, F = 1 + 6 + 1 = 8

So, V - E + F = 12 - 18 + 8 = -6 + 8 = 2

Hence the given shape is a polyhedron.

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Answer:

1 more.

Step-by-step explanation:

A regular octagon has 4 pairs.

A regular hexagon has 3 pairs.

Hope this helped.    :)

The equation of the circle represented by the pizza is x^2 + y^2 = 4

The given parameters are:

Radius, r = 2

Center, (a,b)= (0,0) i.e. origin

The equation of the circle is calculated as:

(x - a)^2 + (y - b)^2 = r^2

This gives

(x - 0)^2 + (y - 0)^2 = 2^2

Evaluate the exponents

x^2 + y^2 = 4

Hence, the equation of the circle is x^2 + y^2 = 4

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Answer:

your question is not complete

Answer:

g= 8/21

Step-by-step explanation:

[tex]g=\frac{5}{7} -\frac{1}{3} \\g=\frac{15}{21} -\frac{7}{21} \\g=\frac{8}{21}[/tex]

Answer:

8.6 × 10-9

Step-by-step explanation:

Answer:

y=5x

Step-by-step explanation:

As you can see for the numbers of minutes on the graph, it goes 2,4,6 and on. If you look at the miles you can see the numbers that connect with the numbers of minutes. You can see a pattern. If you multiple 2 x 5 you get 10, if you multiply 4 x 5 you get 20, and etc etc.

Hope this helps <3

Answer:

y = 5x

Step-by-step explanation:

Here :

The standard form of an equation :

Finding m

Equation of the line

Answer:

23 1/2 gallons of gas to travel one mile

Step-by-step explanation:

Given the car can travel 200 miles on 8 1/2 gallons of gas, we divide 200 by 8 1/2.

8 1/2 = 8.50 = 8.5

200/8.5 = 23.5 = 23.52 = 23 1/2

Answer:

17/400 gallons or 0.0425 gallons

Step-by-step explanation:

Take the ratio of the scale and the actual values :

Answer:

Step-by-step explanation:

According to Pythagorean theorem, the square value of hypotenuse (the side length that sees angle measure 90) is equal to sum of square value of two legs:

let x represent the missing length

x^2 + 3^2 = 7^2

x^2 + 9 = 49 subtract 9 from both sides

x^2 = 40 find the root for both sides

x = [tex]\sqrt{40}[/tex] or 6.3 inches approximately

Answer:

C. b = 25w + 100

Step-by-step explanation:

Keyshawn starts off with 100 baseball cards. Each week he buys 25 more baseball cards. Given this we want to find an equation that would represent the number of baseball cards (represented by "b") he would have after a number of weeks (represented by "w")

We know that keyshawn buys 25 baseball cards weekly so the number of baseball cards purchased after w weeks can be represented by 25w.

We also know that he started of with 100 baseball cards so the total amount of baseball cards keyshawn has (b) can be represented by the expression b = 25w + 100

let's recall d = rt, or namely distance = rate * time.

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&82&b-c&2\\ Downstream&106&b+c&2 \end{array}\hspace{5em} \begin{cases} 82=(b-c)2\\\\ 106=(b+c)2 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{using the 1st equation}}{82=(b-c)2}\implies \cfrac{82}{2}=b-c\implies 41=b-c\implies \boxed{41+c=b} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{106[~(41+c)+c~]2}\implies \cfrac{106}{2}=41+2c\implies 53=41+2c \\\\\\ 12=2c\implies \cfrac{12}{2}=c\implies \blacksquare~~ 6=c ~~\blacksquare~\hfill \blacksquare~~ \stackrel{41~~ + ~~6}{47=b} ~~\blacksquare[/tex]

Answer:

[tex]1.\; \boxed{\sf x=12^o}[/tex]

[tex]\sf 2.\;\boxed{\sf \angle 2=60^o}[/tex]

Step-by-step explanation:

1)

Since ∠1 and ∠ (7x-20) are corresponding angle.

So, ∠1 =∠ (7x-20)

and, ∠1 and ∠(5x+16) are vertically opposite angles.

- - - - -

S0...

[tex]\sf 4x+16=7x-20[/tex]

Subtract 16 from both sides.

[tex]\sf 4x=7x-36[/tex]

Subtract 7x from both sides.

[tex]\sf 4x-7x=7x-36-7x[/tex]

[tex]\sf -3x=-36[/tex]

Divide both sides by -3.

[tex]\sf \cfrac{-3x}{-3}=\cfrac{-36}{-3}[/tex]

[tex]\boxed{\sf x=12^o}[/tex]

- - - - - - - - - - -

2)

∠1 and ∠2 are corresponding angles.

S0,

[tex]\sf \angle 1=\angle 2=\boxed{\sf 60^o}[/tex]

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

Additional info:-

Any pair of angles on the same side of one of two lines cut by a transversal and on the same side of the transversal are called corresponding angles.

Vertical angles are angles opposite each other where two lines cross.

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Answer:

x = 12

Step-by-step explanation:

The angles are equal as they are alternate exterior angles.

Solving :

⇒ 4x + 16 = 7x - 20

⇒ 7x - 4x = 16 + 20

⇒ 3x = 36

⇒ x = 12

Answer:

Length = 5/6 foot

Breadth = 1/3 foot

Area of rug = l×b

=5/6 × 1/3

= 5/18 Ft^2

Answer:

41.25%

Step-by-step explanation:

Of the 80 digits generated, 33 of them are 0,1,2, or 3.

(Yup, I counted them)

So, 33/80 = 0.4125 = 41.25%

Answer:

95%

Step-by-step explanation:

Step 1: Find samples with 0, 1, 2 or 3.

Example: count 7918 it has a one

Example two: count 2546 it has a two

Step 2: Once all the samples with 0, 1, 2 or 3 are counted put it into a fraction.

Example: For this particular question there were 19/20 samples with numbers 0, 1, 2 or 3.

Step 3: Change the fraction into a percentage after that you will have your final answer.

The volume of the cylindrical jar, considering it's radius and height, is of 923 in³.

The volume of a cylinder of radius r and height h is given by:

[tex]V = \pi r^2h[/tex].

In which problem, we have that r = 4.7 in, h = 13.3 in, hence the volume in cubic inches is given by:

[tex]V = \pi \times 4.7^2 \times 13.3 = 923[/tex]

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Answer:

the missing angles are 47,° 77,° 56°

Step-by-step explanation:

(133)+(x+13)= 180° (angles on a straight line)

133+x+13= 180°

146+x= 180°

X= 180-146

X= 34°

FOR ANGLE A

2X+9= 2(34)+9= 68+9= 77°

FOR ANGLE C

X+13= 34+13= 47°

FOR ANGLE B

47+77+Y= 180 (SUM OF ANGLES IN A TRIANGLE)

124+Y= 180

Y= 180-124= 56°

Y= 56°

the missing angles are 47,° 77,° 56°

Answer:

[tex]-54m^{2} n^{2} p \sqrt{3n}[/tex]

Step-by-step explanation:

solved it using a software. check attachment for all the steps