A construction worker is building a wall. The wall is
20

yd
long. He needs to place a stud every
16

in
. The first stud has already been placed at one end of the wall. How many additional studs are needed, if the last stud will be placed at the other end of the wall? First fill in the blanks on the left side using the ratios shown.

For this equation I used the fact that S and U are congruent (because Line ur and rs are equal and lines UT and TS are equal. All the interior angles need to add to 360 degrees. U+R+S = 340 so T has to equal 20 degrees.

Answer:

Step-by-step explanation:

-50 plus so above the number so like -51.5

If paul's account balance is less than - $50 the possible balance for Paul's account should be in the range of - $50.9 to - $50.1.

Range defines possible values in between two values that are some distance apart on the number line. The range can also be defined as the possible values from the least value to the greatest value.

Given that Paul's account balance is less than - $50.

∴ The possible balance for Paul's account can be in the range of

- $50.9 to - $50.1 because if he had an amount which is less than - $51 then the given statement should have been mentioned.

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Answer: 891

Step-by-step explanation

99x9=891

I believe The answer is 891!

Answer:

C.12 1/2

Step-by-step explanation:

5=2/5a

Multiply each side by 5/2 to isolate a

5/2 * 5 = 5/2 * 2/5 a

25/2 = a

12 1/2 = a

Answer:

x=32

Step-by-step explanation:

(32-5)^(2/3)=9

Answer:

n° = 62°

p° = 62°

q° = 118°

v° = 84°

w° = 138°

Step-by-step explanation:

angle ABC is 118°

so

m° + 118° = 180

m° = 180° - 118°

m° = 62°

n° = m° = 62° (corresponding angles are equal since AB is parallel to DC, and BC)

p° = n° = 62° (vertical angles are equal)

q° + n° = 180° (linear pair angles)

q° + 62° = 180°

q° = 180° - 62°

q° = 118°

v° + 96° = 180° (linear pair angles)

v°  = 180° - 96°

v° = 84°

w° + 42° = 180 (linear pair angles)

w° = 180° - 42°

w° = 138°

Answer:

n° = 62°

p° = 62°

q° = 118°

v° = 84°

w° = 138°

Step-by-step explanation:

angle ABC is 118°

so

m° + 118° = 180

m° = 180° - 118°

m° = 62°

n° = m° = 62° (corresponding angles are equal since AB is parallel to DC, and BC)

p° = n° = 62° (vertical angles are equal)

q° + n° = 180° (linear pair angles)

q° + 62° = 180°

q° = 180° - 62°

q° = 118°

v° + 96° = 180° (linear pair angles)

v°  = 180° - 96°

v° = 84°

w° + 42° = 180 (linear pair angles)

w° = 180° - 42°

w° = 138°

Answer:

The correct answer is

Z⁶Y³/Z⁶Y⁴ = 1/Y

Step-by-step explanation:

Points to remember

1).  xᵃ * xᵇ = xᵃ⁺ᵇ

2).  xᵃ/xᵇ = xᵃ⁻ᵇ

3).  x° = 1

4). x⁻ᵃ = 1/xᵃ

The given expression is Z⁶Y³/Z⁶Y⁴

To find the simplification of expression

Z⁶Y³/Z⁶Y⁴ =  Z⁶⁻⁶ * Y³⁻⁴

 =  Z° * Y⁻¹ = 1 * 1/Y = 1/Y

Therefore the value of given expression  Z⁶Y³/Z⁶Y⁴ is 1/Y

4 quartz equals 16 cups

Answer:

16

Step-by-step explanation:

since the ratio of qrt to cup is 1:4, we can calculate 4:x by doing 4*4

Answer:

1 solution

Step-by-step explanation:

Set it equal to 0

0=3/4x+12

Subtract 12

-12=3/4x

Multiply by 4

-48=3x

Divide by 3

X = -16

The equation has an infinite number of solutions

Given equation is,

[tex]y=\frac{3}{4}x+12[/tex]

We can write the given equation as,

[tex]3x-4y+12=0[/tex]

[tex]For x=1\\y=\frac{51}{4}\\For x=2\\y=\frac{27}{2}\\For x=3\\y=\frac{57}{4}[/tex]

In the above given equation for the different values of x gives the different solution of y.

Hence, the given equation has an infinite number of solutions.

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Answer:

[tex]\dfrac{y^2}{36}-\dfrac{x^2}{45}=1.[/tex]

Step-by-step explanation:

Since vertices and foci lie on the y-axis, the equation of the hyperbola is

[tex]\dfrac{y^2}{b^2}-\dfrac{x^2}{a^2}=1.[/tex]

If the vertices are at points (0,±6), then [tex]b=6.[/tex]

If the foci are at points (0,±9), then [tex]c=9.[/tex]

Note that

[tex]c^2=b^2+a^2,[/tex]

then

[tex]9^2=6^2+a^2,\\ \\a^2=81-36,\\ \\a^2=45.[/tex]

The equation of the hyperbola is

[tex]\dfrac{y^2}{36}-\dfrac{x^2}{45}=1.[/tex]

Answer:

11 calculators do not weigh more than four pounds.

Step-by-step explanation:

Start off with the basic idea that 16 ounces = 1 pound.

1. Multiply the weight of one calculator by the number of calculators given

11 * 5 = 55 ounces

2. Divide 55 oz by 16 to get the number of pounds

55/16 = 3.4375 lbs.

3. 11 calculators weigh 3.4 pounds which is lower than 4 pounds

Hope this helped :)

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Answer:

Yes

Step-by-step explanation:

So one calculator weighs 5 ounces. So if we have 11 we sould times 5 x 11 to equal 55. After, we calculate how many ounces 4 pounds is. If one ounce to a pound is 16 we do 16 x 4 that would equal 64. That is above 55 ounces.

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Take care, Eric

D. Three debts added to four fortunes will be one fortune.

Debts=negative, so -3

Fortunes= positive, so 4

-3+4=1

3debt+4fortune=1fortune

Or, 4fortune-3debt=1fortune

4-3=1

Answer:

D. Three debts added to 4 fortunes will be one fortune.

Step-by-step explanation:

Given : A modern equation involving positive and negative integers would be -3+4=1.

To find : How would Brahmagupta have represented this equation.

Solution : We have given that -3+4=1.

Here, - sing represent by debt and + sign represent by fortune .

In given statement  3  is with debt and 4 is with fortune and 1 with fortune.

Then we can see,  Three debts added to 4 fortune will be one fortune.

Therefore, D. Three debts added to 4 fortunes will be one fortune.

Answer:

16.6 ft

Step-by-step explanation:

Use Law Of Sines to solve this:

(Sin 7)/9 = (Sin 13)/x

Cross multiply...

x(Sin 7) = 9(Sin 13)

Divide both side by Sin 7

x = [9(Sin 13)]/(Sin 7)

 x = 16.61254121

Answer:

16.6 ft

Step-by-step explanation:

Answer:

13.4 grams of a 120 gram sample will remain radioactive after 30 minutes.

Step-by-step explanation:

Given : A radioactive substance has a decay rate of 0.073 per minute.

To find : How many grams of a 120 gram sample will remain radioactive after 30 minutes?          

Solution :

Using decaying formula,  

[tex]y(t)=y_o e^{-rt}[/tex]

Where, [tex]y_o=120[/tex] is the initial amount

r=0.073 is the decay rate

t=30 minute is the time

Substitute the value in the formula,

[tex]y(30)=120\times e^{-0.073\times 30}[/tex]

[tex]y(30)=120\times e^{-2.19}[/tex]

[tex]y(30)=120\times 0.1119[/tex]

[tex]y(30)=13.428[/tex]

[tex]y(30)=13.4[/tex]

Therefore, 13.4 grams of a 120 gram sample will remain radioactive after 30 minutes.

Answer:

13.4

Step-by-step explanation:

Substitute the given values into the formula: A(t)=Pert. Where P is the initial mass, r is the rate of decay, and t is time.  Note, the rate is negative because we are finding the rate of decay.  

A=120e−(0.073)(30)≈13.4

So, about 13.4 grams will remain after 30 minutes.

Answer: The answer is 3m/s

Step-by-step explanation:

Answer: The runner’s average speed is 3 m/s.

Step-by-step explanation:

Hi, to solve this problem we have to multiply the length of the track (402.2 meters) by the times that joe ran around it (8.25 times).

So, mathematically speaking:

Now that we have this result, we have to divide it by the time ( 1,119.803 sec), to obtain the speed rate.

In conclusion, the runner’s average speed is 3 m/s.

Feel free to ask for more if it´s necessary or if you did not understand something.

C is the answer.............

Answer:

C. Is you answer

Step-by-step explanation:

What you have to do is you take the second equation and plug it into the y of the first equation to get

-2x^2+-3x^2+5=-5. You will then add the -2x^2 and the -3x^2 together to get

-5x^2+5=-5. You will then minus the 5 from both sides to get

-5x^2=-10. You will then divide the -5 from both sides to get

x^2=2. You will then square root it to get

x=sqrt2 and -sqrt2.

You will then plug the sqrt2 into the second equation into the x like this

y=-3(sqrt2)^2+5. and you answer wil be -1.

So C is your answer.

The probability of drawing a green followed by a black marble from a bag containing 25 marbles without replacement is found by multiplying the individual probabilities of each event. These are 4/25 for the green marble and 7/12 for the black marble after the first draw.

The subject of this question is probability within the field of Mathematics, suitable for a High School level student. The probability of drawing a green and black marble without replacement is a two-step probability problem. Given that there are 5 purple, 2 yellow, 4 green, and the rest black out of 25 marbles, we first need to calculate the total number of black marbles, which is 25 - (5 + 2 + 4) = 14. The probability of drawing a green marble first is 4 out of 25, which simplifies to 4/25. After a green marble is drawn, there are now 24 marbles left in the bag, with 14 being black. Therefore, the probability of then drawing a black marble is 14/24 or 7/12. To find the combined probability of both events occurring sequentially, we multiply the individual probabilities: (4/25) * (7/12). This calculation will give us the final probability of drawing a green and then a black marble without replacement.

Answer:

1. 4x, -2y, and 3

2. x and y

3. is 3

4. x

5. Coefficient

6. exponent

7. y*2

8. x to the y

9. no

Step-by-step explanation:

Answer:14.375

Step-by-step explanation divide it

Answer: [tex]p=38\°[/tex]

Step-by-step explanation:

By definition, you know that:

[tex](p+29\°)+(7p+27\°)=360\°[/tex]

Therefore, keeping this on mind, you can find the value of p, as following.

- Add the like terms:

[tex]p+29\°+7p+27\°=360\°\\8p+56\°=360\°[/tex]

- Subtract 56° from both sides of the equation and then divide both sides of thte equation by 8.

Therefore, you obtain that the value of p is:

[tex]8p+56\°-56\°=360\°-56\°\\8p=304\\\\\frac{8p}{8}=\frac{304\°}{8}\\p=38\°[/tex]

Answer:

y=x^2

Step-by-step explanation:

That one doesn't make a straight line it makes a parabola.

Answer:

Quadrant II

Step-by-step explanation:

Quadrant II points are characterized by a negative X value but a positive Y value (-x,y).

Since -10 is negative and 9 is positive, this point lies on quadrant II.

Answer:

quadrant III

Step-by-step explanation:

Each medal is different and is handed out depending on the outcome of the race/order of the racers, so we're counting the number of permutations. 4 medals are given to 4 runners, so there are

[tex]4!=4\cdot3\cdot2\cdot1=24[/tex]

possible ways to do it.

The length of the wire is bent into a square, making each side equal to 7x/4. The area of a square is found by squaring the length of one side, so the area, as a function of , is (7x/4)^2 or 49x^2/16.

The given information is that the length of the wire is 7x, and it is bent into a square. In a square, all sides are equal. Therefore, we can say that the length of each side of the square is 7x/4.

To find the area of a square, we simply square the length of one side. Thus, the area A of the square, expressed as a function of x, is (7x/4)^2 or 49x^2/16.

Therefore, the question's answer is that the area A of the square can be expressed as the function 49x^2/16.

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Final answer:

To express the area A of a square in terms of z, assuming the wire length is 7z, calculate the side length a as 7z/4 and then square it to get A = (7z/4)². If x is correct and unrelated to z, more information is needed.

Explanation:

To express the area A of a square as a function of z, given that a wire of length 7x is bent into the shape of a square, we follow these steps:

The perimeter of the square is equal to the length of the wire, which is 7x.

Since the perimeter P of a square is 4 times one of its sides a, we can write P = 4a. Therefore, 7x = 4a.

To find the side length a, we divide 7x by 4: a = 7x/4.

The area A of a square is the square of one of its sides, so A = a². By substituting a with 7x/4, we get A = (7x/4)².

Finally, we need to write the equation in terms of z. Here, it seems there might be an issue with the question, as there is no direct relationship provided between x and z. Assuming there's a typographical error and that the wire length is actually 7z, we can write a = 7z/4 and A = (7z/4)².

If x is indeed correct and unrelated to z, more information is required to express A as a function of z.

Answer:

45 miles

Step-by-step explanation:

if 1 in = 15 mi     so put x=15

3 is 3 times 1 so x=3 and 3*15=45

Your answer is 45 miles.

Answer: I would say Y E because thats the only one that makes sense.

Step-by-step explanation:

Answer:

Step-by-step explanation:

ΔNPM and ΔABM are similar. Therefore the sides are in proportion:

[tex]\dfrac{AM}{NM}=\dfrac{BM}{PM}[/tex]

We have

[tex]AM=71.5\ ft-22\ ft=49.5\ ft\\NM=71.5\ ft\\BM=x\\PM=97.5\ ft[/tex]

Substitute:

[tex]\dfrac{49.5}{71.5}=\dfrac{x}{97.5}[/tex]       cross multiply

[tex]71.5x=(49.5)(97.5)[/tex]

[tex]71.5x=4826.25[/tex]           divide both sides by 71.5

[tex]x=67.5[/tex]

Answer: The short answer is that some goals are simply incompatible with each other, like the law in Colorado that raised the minimum wage. That's great for the employees, bad for the employers. Employers, like employees, want to make money and stay in business. The more money each employer has to pay their employees, the higher the prices for certain goods go for that business to stay open.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

To calculate m use the slope formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (1, 6) and (x₂, y₂ ) = (2, 1)

m = [tex]\frac{1-6}{2-1}[/tex] = - 5, hence

y = - 5x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 6), then

6 = - 5 + c ⇒ c = 6 + 5 = 11

y = - 5x + 11 → A

Answer:

[tex]y=-5x+11[/tex]

Step-by-step explanation:

Given :  Points (1,6) and (2,1)

To Find : Which of the following is the equation of a line that passes through the points (1,6) and (2,1) ?

Solution:

[tex](x_1,y_1)=(1,6)\\(x_2,y_2)=(2,1)[/tex]

Now to find the equation of a line that passes through the points (1,6) and (2,1) we will use two point slope form

Two point slope form : [tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Substitute the values

[tex]y-6=\frac{1-6}{2-1}(x-1)[/tex]

[tex]y-6=-5(x-1)[/tex]

[tex]y-6=-5x+5[/tex]

[tex]y=-5x+11[/tex]

So, Option A is true.

Hence The equation of a line that passes through the points (1,6) and (2,1) is[tex]y=-5x+11[/tex]