There are two numbers, and one is 7 more than twice the other. The sum of the numbers is 3. What are the numbers? And what is the equation?

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:

6

Step-by-step explanation:

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:

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

Answer:

A) 3

B) 3

C) 3

D) 3

I think those are the first four

Step-by-step explanation:

Answer:

8.6 × 10-9

Step-by-step explanation:

Answer:

160

Step-by-step explanation:

160 divided 8 =20

Answer:

The answer is 160

Step-by-step explanation:

Let the unknown number be x.

x/8=20

x and 8 are linked by a division so if 8 crossed the equality sign it becomes multiplication. So we'll have

x=20*8

x=160

Therefore x is equal to 160.

LET'S CHECK IF IT'S CORRECT

160/8=20

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.

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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]

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2)

∠1 and ∠2 are corresponding angles.

S0,

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

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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:

[tex]x=-4,\: x=1[/tex]

Step-by-step explanation:

[tex]x^2+3x+1=5\\\\x^2+3x-4=0\\\\(x+4)(x-1)=0\\\\x=-4,\: x=1[/tex]

Make sure you use the Zero Product Property to solve for each factor when the equation is set equal to 0 and can be factored.

If the height is 11 cm and the volume is486 cubic cm. Then the radius of the can will be 3.75 cm.

A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.

A can has a height of 11 cm and a volume of 486 cubic cm.

Then the radius of the can will be

We know that the volume is given as

Volume = πr²h

     486 = π r² x 11

         r² = 14.06

           r = 3.75 cm

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Answer:

It will take 3 3/4 cups of sugar and 5 1/4 cups of flour.

Step-by-step explanation:

Multiply 1 1/4 and 1 3/4 by three, because 3 batches of cookies are being made.

1 1/4x3= 3 3/4 cups of sugar

1 3/4x3= 5 1/4 cups of flour

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:  6 inches equals 0.16666667 yards, or about 0.2 yards.

Step-by-step explanation: 1 yard equals 36 inches. By that reasoning, we can divide 6 by 36, since we are trying to find out how many yards are in 6 inches.

6/36 = 0.16666667

The answer is 0.16666667 yards, or about 0.2 yards.

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:

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°

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:

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:

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

Answer:

6

Step-by-step explanation:

Answer:

(-3,8) would NOT fit the table.

Answer: (-3,8)

Step-by-step explanation: click on the file

Answer: False

Step-by-step explanation:

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

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

Answer:

class B because every scores range is withing 6 or less

Answer:

See below ~

Step-by-step explanation:

Class A :

Class B :

Class B had the more consistent performance because the range of scores is significantly less. This means that the students in Class B were more prepared than Class A for a quiz.

The examples where similar averages are associated with very different distributions include examination results for students, account management commission and the number of goals scored by teams.

It should be noted that average simply means the mean of a given set of numbers that are given in a data.

In this case, the examples where similar averages are associated with very different distributions include examination results for students, account management commission and the number of goals scored by teams

Let's use examination results to butress our point. A good average examination results mean that the students have a good understanding of what was covered in the subject.

Let's say the average pass mark for a subject is 50. In this situation, someone who scores 50 and above is believed to understand the subject and has a pass mark.

On the other hand, someone who scores 49.8 is considered to have failed the class even though the score is identical. This shows the case of variability and how similar average can mean different things.

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I m sorry I hv no idea

.........

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:

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 :

A 10% increase in cigarette prices has been found to result in a 4% decrease of smokers.

An increase in cigarette price will result in a decrease in the demand for cigarettes.

Since more money needs to be spent to but the same product, less consumers can be able to afford it.

Therefore, a 10% increase in cigarette prices has been found to result in a 4% decrease of smokers.

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An experimental study involves the researcher seeking to affect the results on purpose. The given situation is an observational study.

Since the researcher needs to find if a certain medicine improves the symptoms of the flu, therefore, the objective is to find out what influence a certain therapy has on the result. Hence, the given situation is an observational study.

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Work Shown:

C = 2*pi*r

C = 2*3.14*6

C = 37.68