A car is averaging 50 miles per hour. If the car maintains this speed, how many minutes less would a 450-mile trip take than a 475-mile trip?

Answer:

(3/2, 0, 1)

Step-by-step explanation:

From 2x+y=3 we have => y=3-2x

From 2y-4z=-4 we have -4z=-2y-4 => z=1/2y+1 => z=1/2 (3-2x) +1 => z=5/2-x

Plug in y & z to find x

2x−y+3z=6 => 2x+(3-2x)+3(5/2-x)=6 => 2x+3-2x+15/2-3x=6 => 21/2-3x =6 => x=3/2

plug in x to find y

2x+y=3 => 2(1.5) + y =3 => y=0

plug in y to find z

2y -4z =-4 => 2(0)-4z=-4 => -4z=-4 => z=1

Answer:

32

Step-by-step explanation:

If y is 2 times as much as x, then 1 = 2

5 x 3 = 15 + 1 = 16

10 x 3 = 30 + 2 = 32, or 16 x 2 = 32

Please tell me if I'm wrong.

Answer:

0.4706

Step-by-step explanation:

Sin= O/H

opposite= 8

hypotnuse= 17

8÷17 = 0.4706

Answer:

Your required answer is option A.

Step-by-step explanation:

Hey, there!!!

The given figure is Triangle ABC.

where, AB= 17.

BC= 8

AC = 15.

As it is a Right angled triangle, taking angle theta as a refrence angle.

we get,

h = 17

p= 8

b= 15

we know that,

ratio of sin = p/h

or, sin theta = 8/17

Therefore, the value of x is 0.4705882353.

Hope it helps...

Answer:

The total volume of the solid is 1.67 cubic units.

Step-by-step explanation:

Each pyramid with a height of 2 units and a rectangular base with dimensions of 5 units × 0.25 units.

1/3 x (area of base) x height

= 1/3 x (5 x 0.25) x 2= 0.833

Therefore, the volume of each pyramid will be

= cubic units.

So, the total volume of the solid is (2 × 0.833) = 1.67 cubic units. (Answer)

Hope it helped ya!

Mark me BRAINLIEST

Tysmm

The total volume of the solid is 1.67 unit³.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured. The space occupied within an object's borders in three dimensions is referred to as its volume. It is sometimes referred to as the object's capacity.

Given:

Each pyramid has a height of 2 units.

and the rectangular base with dimensions of 5 units × 0.25 units.

So, the Volume of each Pyramid is

= 1/3 x (area of base) x height

= 1/3 x (5 x 0.25) x 2

= 0.833

and, the total volume of the solid

= (2 × 0.833)

= 1.67 cubic units.

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Answer:

a=(29-2)*(12-3)

Step-by-step explanation:

a=LW

a=(L-2)*(W-3)

a=(29-2)*(12-3)

a=27*9

a=243ft²

Answer:

[tex]\Large \boxed{A = (29 - 2) \times (12 - 3)}[/tex]

Step-by-step explanation:

The length of the whole rectangle is 29 feet.

The width of the whole rectangle is 12 feet.

The length of the shaded region is 2 feet less than the length of the whole rectangle.

The width of the shaded region is 3 feet less than the width of the whole rectangle.

The area of a rectangle is length × width.

So we can create a formula to solve for the area of the shaded region:

A = (29 - 2) × (12 - 3)

Solving for the area.

A = 27 × 9

A = 243

The area of the shaded region is 243 feet².

Answer:

the answers would be 1 61/100 and 161/100

Answer:

√(p²-4q)

Step-by-step explanation:

Using the Quadratic Formula, we can say that

x = ( -p ± √(p²-4(1)(q))) / 2(1)  with the 1 representing the coefficient of x². Simplifying, we get

x = ( -p ± √(p²-4q)) / 2

The roots of the function are therefore at

x = ( -p + √(p²-4q)) / 2 and x = ( -p - √(p²-4q)) / 2. The difference of the roots is thus

( -p + √(p²-4q)) / 2 - ( ( -p - √(p²-4q)) / 2)

= 0 + 2 √(p²-4q)/2

= √(p²-4q)

Answer:

6750

Step-by-step explanation:

4 digit numbers are 1000,1001,1002,...,9999

let numbers=n

d=1001-1000=1

9999=1000+(n-1)1

9999-1000=n-1

8999+1=n

n=9000

now let us find the 4 digit numbers divisible by 4

4| 1000

______

| 250

4 |9999

  _____

  | 2499-3

9999-3=9996

so numbers are 1000,1004,1008,...,9996

a=1000

d=1004-1000=4

let N be number of terms

9996=1000+(N-1)4

9996-1000=(N-1)4

8996=(N-1)4

N-1=8996/4=2249

N=2249+1=2250

so number of 4 digit numbers not divisible by 4=9000-2250=6750

Answer:

B. Only line B is a well-placed line of best fit.

Step-by-step explanation:

A good line of best fit is a line drawn to represent, as much as possible, all data points. As long as the data points are clustered along the line, and are not farther from each other, the line is a best fit for such data points.

Therefore, from the two lines drawn by Maggie, Line B seems to be the only well-placed line of best fit, as virtually all the data points are clustered along the line, compared to Line A. Line A only runs across 2 data points. The rest data points are scattered far apart from the line.

Therefore, the statement that best describes the placement of the line of best fit drawn by Maggie is: "B. Only line B is a well-placed line of best fit."

Answer:

Only line B

Step-by-step explanation:

Line A is too low on the graph to be best fit for the plot

Answer:

Ms. Brown would need 4 eggs in order to make 1 cake, so if she has 24 eggs you would divide 24 by 4, which is 6. So, Ms. Brown could make 6 cakes with 24 eggs.

Hope this helps!

Answer:

B

Step-by-step explanation:

(To save time, I'm going to use x instead of θ)

So we have the expression:

[tex](\sin(x)-\cos(x))^2+(\sin(x)+\cos(x))^2[/tex]

First, expand these binomials:

[tex]=(\sin^2(x)-2\sin(x)\cos(x)+\cos^2(x))+(\sin^2(x)+2\sin(x)\cos(x)+\cos^2(x))[/tex]

Combine like terms:

[tex]=\sin^2(x)+\sin^2(x)+\cos^2(x)+\cos^2(x)-2\sin(x)\cos(x)+2\sin(x)\cos(x)\\=2\sin^2(x)+2\cos^2(x)[/tex]

Factor out a 2:

[tex]=2(\sin^2(x)+\cos^2(x))[/tex]

The expression inside the parentheses is the Pythagorean Identity:

[tex]\sin^2(x)+\cos^2(x)=1[/tex]

Substitute:

[tex]=2(1)\\=2[/tex]

The answer is B.

Answer:

(1,0)

Step-by-step explanation:

3x + 6y = 3

7x + 3y = 7

Multiply the second equation by -2

-2( 7x + 3y = 7)

-14x -6y = -14

Add this to the first equation to eliminate y

3x + 6y = 3

-14x -6y = -14

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

-11 x = -11

Divide by -11

x = 1

Now find y

3x + 6y = 3

3 +6y = 3

Subtract 3 from each side

6y = 0

y =0

Answer:

x = 1

y = 0

Step-by-step explanation:

3x + 6y = 3

7x  + 3y = 7

=> 3y = 7 - 7x

=> y = -7/3x + 7/3

3x + 6(-7/3x + 7/3) = 3

=> 3x - 14x + 14 = 3

=> -11x = -11

=> -x = -11/11

=> -x = -1

=> x = 1

So, 3(1) + 6y = 3

=> 3 + 6y = 3

=> 6y = 0

=> y = 0/6

=> y = 0

So, x = 1

      y = 0

The properties 1‚ 2‚ 4‚ and 5. are used

The properties used to simplify problem are 1 , 2 and 4.

A problem which is simplified is given ; (38 +677) + (-38).

What are the correct options ?

How will you represent the associative properties of addition ?

Associative properties are represented by ;  (A + B ) + C = A + ( B + C ).

As per the data given in question ;

Let's check which options are suitable.

( 38 + 677 ) + ( -38 ) = 38 + ( 677 - 38 )

(A + B ) + C = A + ( B + C )

So , this is the associative property.

677 + 0 = 677

A + 0 = A

So , this is the additive identity.

677 + [38 + (-38)]

Here ; 38 + ( -38 ) represents ;

A + (-A) = 0.

So , this is the additive inverse.

Thus ,  the properties used to simplify problem are 1 , 2 and 4.

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Answer:

the answer is 5

Step-by-step explanation:

11 substract 6 is equal to 5

Answer:

The number is 3,552

15⅝% of 3,552 is 555

Step-by-step explanation:

15⅝% of a number is 555.

To determine what number it is, let the number be x.

Thus,

15⅝%*x = 555

[tex] \frac{125}{8}*\frac{1}{100}*x = 555 [/tex]

[tex] \frac{125}{800}*x = 555 [/tex]

[tex] \frac{125*x}{800} = 555 [/tex]

Multiply both sides by 800

[tex] \frac{125*x}{800}*800 = 555*800 [/tex]

[tex] 125*x = 444,000 [/tex]

Divide both sides by 125

[tex] \frac{125*x}{125} = \frac{444,000}{125} [/tex]

[tex] x = 3,552 [/tex]

The number = 3,552

15⅝% of 3,552 is 555

Answer:

50 bags

Step-by-step explanation:

1 kg = 1000 grams

10 kg * 1000g/ 1kg = 10000 g

Divide 10000 grams by 200 g

10000g / 200g = 50

Answer:

Step-by-step explanation:

Hello,

26 = 2 * 13

8 = 2 * 4

so we can simply as below.

[tex]\dfrac{26}{8}\\\\=\dfrac{2*13}{2*4}\\\\\boxed{=\dfrac{13}{4}}[/tex]

Thank you

[tex]\dfrac{26}{8}=\dfrac{13\cdot2}{4\cdot2}=\,\boxed{\,\dfrac{13}4\,}\,=\dfrac{3\cdot4+1}4=3\frac14[/tex]

or if its 20, not 26:

[tex]\dfrac{20}{8}=\dfrac{4\cdot5}{4\cdot2}=\, \boxed{\,\dfrac{5}2\,}\, =\dfrac{2\cdot2+1}2=2\frac12[/tex]

Answer:

[tex]slope=0[/tex]

Step-by-step explanation:

Use the slope formula:

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{rise}{run}[/tex]

Rise over run is the change in the y-axis over the change in the x-axis from one point to the other. This is also known as the "slope".

Insert the values:

[tex](-1_{x1},2_{y1})\\\\(2_{x2},2_{y2})\\\\\frac{2-2}{2-(-1)}\\\\\frac{2-2}{2+1}\\\\[/tex]

Simplify:

[tex]\frac{2-2}{2+1}=\frac{0}{3} =0[/tex]

The slope of the line is 0. This means that the two points lie on the same horizontal line.

:Done

Answer:

3(2x-5)(x+2)

Step-by-step explanation:

Factor out the 3.

3(2x²-x-10)

Factor the remaining.

3(2x-5)(x+2)

(I don‘t know what grid they’re talking about.)

Answer:

y = 15

Step-by-step explanation:

In a parallelogram, opposite sides are congruent.

5y - 20 = 2y + 25

3y = 45

y = 15

Answer:

y = 15

Step-by-step explanation:

The top and bottom sides have to be equal in length

5y-20 = 2y+25

Subtract 2y from each side

5y-2y-20 = 2y-2y+25

3y -20 = 25

Add 20 to each side

3y = 20+25

3y = 45

Divide each side by 3

3y/3 = 45/3

y = 15

Answer:

135°

Step-by-step explanation:

π in radian = 180°

∴ 9π in radians = 9 X 180° = 1620°

Then 9π/12 = 1620°/12 = 135°

Answer:

[tex]1035[/tex]

Step-by-step explanation:

(63756×60)/(70×5280)

=1035

Answer:

The equation is (2+x) / 4 = 3

Total amount of chopped vegetables = 10 pounds

Step-by-step explanation:

Meat=2 pounds

Vegetables=x

Mixture= 2+x

She divides the mixture into 4 equal portions

(2+x)/4

Each portion weighs 3 pounds

(2+x)/4=3

Solve the equation

(2+x)/4=3

Cross product

(2+x) = 4 × 3

2+x=12

x=12-2

=10

x=10 pounds

Total amount of chopped vegetables = 10 pounds

Answer:

3√3

Step-by-step explanation:

to get x, we divide 6 by 2 and get 3

therefore, we multiply the short leg by √3

the answer finally equals to 3√3

Answer:

[tex]\boxed {\boxed {\sf y=3}}[/tex]

Step-by-step explanation:

We are asked to find y, a missing side in a triangle.

This triangle is special. There is a 30-degree angle and a right angle or 90 degree angle, the unlabeled angle is 60 degrees. This is a 30-60-90 triangle so the sides are always in a specific relationship.

The side across from the 30-degree angle is a, the hypotenuse is 2a, and the side across from the 60-degree angle is √3 a.

y is across from the 30 degree angle, so it is equal to a. However, we have to find a. We are given one side that measures 6. It is the hypotenuse because it is across from the right angle. Therefore, it is equal to 2a.

a is being multiplied by 2. Divide both sides by 2 to solve for a.

y is across from the 30-degree angle, so it is equal to a or 3.

We can also solve using the 3 main trigonometric functions.

y is opposite the 30-degree angle and 6 is the hypotenuse, and we will use sine.

[tex]sin \theta= \frac{opposite}{hypotenuse}[/tex]

[tex]sin (30)= \frac{y}{6}[/tex]

y is being divided by 6. The inverse operation of division is multiplication. Multiply both sides by 6 to solve for y.

[tex]6 * sin(30)= \frac{y}{6} *6[/tex]

[tex]6 * 0.5 = y[/tex]

[tex]3= y[/tex]

The missing side, y , is equal to 3.

Answer:

27.89 hours.

Step-by-step explanation:

I hope this helps! If you would like an explanation, let me know!

Answer:

First question, 28 hours

Second question, 20 minutes

Step-by-step explanation:

$9.50 for each hour + $75 for showing up on time

Let's say the employee showed up on time

(340 - 75) ÷ 9.5 = 28 hours approximately

120 ÷ 6 = 20 minutes

Answer:

the answer is 41

Step-by-step explanation:

C. 41

Step-by-step explanation: