Fred runs 4 laps around a track in 6 minutes. How many minutes per lap is that? How many laps per minute?

Answer:

3.5

Step-by-step explanation:

hope it helps

Answer:

55° is x

Step-by-step explanation:

Angle sum property of triangle = 180°

180 - 70 = 110

As it is an isosceles triangle, two sides and of course angles will be same.

So, 110 ÷ 2 = 55.

So, the two remaining angles will be 55°

Hope it helps!!!

Answer:

Tenía que hacerlo en menos de 2 minutos a más de 240 km/h

Step-by-step explanation:

La velocidad normal dada para completar el circuito de 6.000 metros = 240 km/h

El tiempo normal que se tarda en completar el circuito de 6000 metros = 2 minutos

Dado que Hamilton estableció el récord de vuelta, el tiempo que tuvo que hacer para recorrer el récord de vuelta es de 6000 metros en menos de 2 minutos

La velocidad media con la que lo hizo es de más de 240 km/h.

Answer:

Grace's triangle is an obtuse triangle and a scalene triangle.

Step-by-step explanation:

Hope I helped!

Answer:

obtuse triangle and a scalene triangle

Step-by-step explanation:

:)

the answer will be thirty three cm.

Answer:

10.6

Step-by-step explanation:

Answer:

x = 122°

Step-by-step explanation:

since it is a right triangle, the sum of the other 2 interior angles = 90°

the angle opposite x = 90° - 32° = 58°

58° and angle x are supplementary angles. Their sum is 180°.

180° - 58° = 122°

Answer:

The answer is 75

Step-by-step explanation:

5(3+12)

15+60

75

Answer:

Step-by-step explanation:

5(3+12) = 5×15 = 75

Answer:

5 15 10/3 7

3 12 12/3 5

Step-by-step explanation:

The missing values in the ratio table will be;

Pies         5       20      10/3   25/3

Cakes      3       12        2      5

What is mean by Ratio?

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

Where, x and y are individual amount of two quantities.

And, Total quantity gives after combine as x + y.

Given that;

The ratio table is;

Pies         5       x      10/3   z

Cakes      3       12     y       5

Now,

Since, The ratios are equivalent to each other.

Thus, We can solve to find the value of x, y and z as;

⇒ 5 : 3 = x : 12

⇒ 5/3 = x/12

Multiply by 12;

⇒ 5 × 12 / 3 = x

⇒ 20 = x

And, 5 : 3 = 10/3 : y

⇒ 5/3 = 10/ (3× y)

⇒ 5/3 = 10/3y

Multiply by 3;

⇒ 5 = 10/y

⇒ y = 10/5

⇒ y = 2

And, 5 : 3 = z : 5

⇒ 5/3 = z/5

Multiply by 5;

⇒ 25/3 = z

⇒ z = 25/3

Therefore, The missing values in the ratio table will be;

Pies         5       20      10/3   25/3

Cakes      3       12        2      5

Learn more about the ratio visit:

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#SPJ5

9514 1404 393

Answer:

  4.  1.3 cm³

  5.  621.2 mm³

  6.  116.5 m³

Step-by-step explanation:

The height to the peak of the pyramid is one side of the right triangle that has its hypotenuse equal to the slant height, and one leg equal to half the base side length. The Pythagorean theorem is used to find the height from the slant height (s) and the base length (b):

  h = √(s² -(b/2)²)

The volume is found from the formula ...

  V = (1/3)b²h

where b is the base length and h is the height found using the previous formula.

The tedious arithmetic is nicely done using a spreadsheet. Results are attached.

Answer:

x = 65

Step-by-step explanation:

The sum of the angles of a triangle add to 180

25+ 2x+25 = 180

Combine like terms

50+2x = 180

Subtract 50 from each side

2x = 180-50

2x =130

Divide by 2

2x/2 =130/2

x =65

Answer:

5.50 per pond

3.5 pound

3.5 × 5.50

$19.25

Answer:

3

Step-by-step explanation:

Answer:

8.164

Step-by-step explanation:

The circumference of the ball is 8.164 inches.

Since the diameter of the tennis ball is 2.6 inches

So here the radius should be half i.e. 1.3 inches

Now we know that

Circumference = [tex]2\pi r\\\\[/tex]

= 2(3.14)(1.3)

= 8.164 inches

Therefore, we can conclude that The circumference of the ball is 8.164 inches.

Learn more about circumference here: https://brainly.com/question/15673093

Answer:

See below, please!

Step-by-step explanation:

We can set up a system of equations to model this problem. Let's consider the student's ticket as x, and y for the adult ticket.

So since the student ticket is $1.50, and adult is $4, we can set up the following equation: [tex]1.5x+4y=5050[/tex], since they collected $5050 total.

We can set up another equation modeling the number of people who came to the game. This would be x+y=2200.

Solve this, and we get x= 1500 and y=700. So, they sold 1500 student tickets and 700 adult tickets.

Hope this helped!

Answer:

65 people

Step-by-step explanation:

0 represents the unknown value

0-19= -19

-19+17= -2

63+ the two that were lost during the journey=65

Answer:

5 1/3

Step-by-step explanation:

2 times 8 is 16 and 16 over 3 is 5 with a remainder of one. So it's 5 1/3

Answer:

[tex] \boxed{ 5} \frac{ \boxed{1}}{ \boxed{3}}\: miles [/tex]

Step-by-step explanation:

Total distance ran

[tex] = \frac{2}{3} \times 8 \\ \\ = \frac{16}{3} \\ \\ = \boxed{ 5} \frac{ \boxed{1}}{ \boxed{3}}\: miles [/tex]

Answer:

D. 11 feet 11 inches

1 foot= 12 inches

143/ 12 = 11 11/12

Answer:

D) 11 feet and 11 inches

Step-by-step explanation:

First we know that there is 12 inches in a foot. So let's start with a.

14 inches x 12 inches (one foot) is 168 inches (so it's not this one:)

13 inches x 12 inches is 156 inches (It's not this one either)

12 inches x 12 inches is 144 inches (not this one)

11 inches x 12 inches is 132 inches (so it could be this one, let's add the remaining inches).

132 + 11 inches = 143 inches.

(Notice I didn't add the remaining inches on A, B, or C because the number of inches was already too much. I did on D because the number of inches was below the given number of 143.

Hope this helps!!

Have a wonderful day!!

Answer:

The slope is 1/2

Step-by-step explanation:

The equation is y= 1/2x +2

So the slope would be 1/2

Answer: 39 inch²

Step-by-step explanation:

The rectangle's area was:

= Length * Width

= 6 * 8

= 48 inches²

The square's area is:

= Length * width

= 3 * 3

= 9 inches²

The square was cut out of the rectangle which means the area of the square should be deducted from the rectangle to find out the remaining area.

= 48 - 9

= 39 inch²

Answer:

901  boys and 1007 girls

Step-by-step explanation:

let b be the number of boys

let g be the number of girls

[tex]b + g = 1908\\17g = 19b\\g = \frac{19}{17} b\\b+\frac{19}{17} b = 1908\\2\frac{2}{17}b = 1908\\b = 901\\901 + g = 1908\\g = 1007[/tex]

Answer:

{-2, - 1, 0, 1}

Step-by-step explanation:

The integer solutions will be {-2, - 1, 0, 1}

Answer:

<3<3<3<3<3<3<3

{-2, - 1, 0, 1}

<3<3<3<3<3<3<3

Answer:

[tex]x = 9.9[/tex]

[tex]y= 7[/tex]

Step-by-step explanation:

Given

See attachment for triangle

Required

Find x and y

Considering  [tex]\theta = 45[/tex]

From the attached triangle, length x is the hypotenuse and length y is the adjacent

Solving for x

[tex]Sin\theta = \frac{Opp}{Hyp}[/tex]

[tex]Sin\theta = \frac{7}{x}[/tex]

So, we have:

[tex]Sin45 = \frac{7}{x}[/tex]

[tex]x= \frac{7}{Sin45 }[/tex]

[tex]x = \frac{7}{0.7071}[/tex]

[tex]x = 9.9[/tex]

Solving for y

Considering  [tex]\theta = 45[/tex]

[tex]Tin\theta = \frac{Opp}{Adj}[/tex]

So, we have:

[tex]Tin45= \frac{7}{y}[/tex]

[tex]y= \frac{7}{Tan45}[/tex]

[tex]y= \frac{7}{1}[/tex]

[tex]y= 7[/tex]

The value of x and y is 9.9 and 7.

Since theta is 45 degrees

So, we know that

Sin theta = opp/hyp

Sin theta = 7 /x

x = 7 / 0.7071

= 9.9

Now the value of Y should be

Tin theta = opp/hyp

y = 7 \tan 45

= 7 /1

= 7

Therefore, we can conclude that The value of x and y is 9.9 and 7.

Learn more about length here: https://brainly.com/question/19021872

Answer:

x=9

Step-by-step explanation:

Since ABCD is a square, we know that AC bisects ∠BCD(=90), and therefore ∠ACB=45.

8x-27=45

8x=72

x=9

Answer:

x = 9°

Step-by-step explanation:

∠ACB = 45° because line AC bisects ∠BCD which is 90° (because square).

8x - 27° = 45°

add 27° to each side:

8x = 72°

divide both sides by 8:

x = 9°

Answer:

2

Step-by-step explanation:

9x=8+5x

9x-5x=8

4x=8

x=8/4

x=2

Step-by-step explanation:

2+3=5

58+62=120

120÷5=24

so 24 carbohydrates are in one glass of milk

Answer:

I think the equation would be 345 = 121 + p