a cyclist travels 3 miles in 15 minutes. what is her average speed in mph

Answer:

Correct option: E

Step-by-step explanation:

The group must have 1 man and 1 woman.

So, for the woman slot, we have 4 possible choices, because we have 4 women and 1 slot to occupy.

For the man slot, we have 2 possible choices, because we have 2 men and 1 slot to occupy.

So the number of different groups we can make is the product of the number of possibilities for each slot:

Number of groups = 4 * 2 = 8

Correct option: E

Answer:

4 (20) + 6(6) = 120

4(20) + 4 (6) = 100

Step-by-step explanation:

Hi, to answer this question we have to write a system of equations with the information given:

Build time (hours) = 4c + 6a = 120

Test time (hours) = 4c + 4 a = 100

Where c represents the number of child bikes and a represents adult bikes.

So, for 20 child bikes and 6 adult bikes:

4 (20) + 6(6) = 120

4(20) + 4 (6) = 100

Feel free to ask for more if needed or if you did not understand something.

Hey there! :)

Answer:

y + 32 = 3(x + 8)

Step-by-step explanation:

Begin by finding the slope of the line using the slope formula:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in the coordinates of the points into the equation:

[tex]m = \frac{1 - (-32)}{3 - (-8)}[/tex]

Simplify:

[tex]m = \frac{33}{11}[/tex]

m = 3.

Point-slope form is:

y-y₁=m(x-x₁)

Plug in the coordinates of the first point, as well as the slope:

y - (-32) = 3(x - (-8)

y + 32 = 3(x + 8)

Answer:    y+32=3(x+8)

Step-by-step explanation:

First  you need to find the slope.The slope is the change in y divided by the change in x values.

-32 - 1 = -33

-8 - 3 =    -11  

-33/-11 = 3   the slope is 3  

and in point-slope form is  like y-b= m(x-a) where b is a y coordinate and a is the x coordinate.

it could be like   y-1=3(x-3) or y+32= 3(x+8)

Hey there! :)

Answer:

m∠y = 55°.

Step-by-step explanation:

Begin by solving for x since y and x are supplementary angles.

Recall that all of the angles in a triangle must sum up to 180°. Therefore:

180 - 30 - 25 = 125°.

x = 125°, therefore:

180 - 125 = 55°.

m∠y = 55°.

Answer:

55 Degrees

Step-by-step explanation:

The remote interior angle theorem states that to find the value of and exterior angle (y) you need to add the two remote interior angles. (25&30)

Answer:

$42.88

Step-by-step explanation:

Let's create a proportion using the following setup:

cost/pounds=cost/pounds

We know that it costs $20.42 for a 10 pound turkey.

$20.42/10 pounds= cost/pounds

We don't know how much a 21 pound turkey costs, so we can say that it costs $x for a 21 pound turkey.

$20.42/ 10 pounds= $x/ 21 pounds

20.42/10=x/21

We want to find x, by getting x by itself.

x is being divided by 21. The inverse of division is multiplication. Multiply both sides by 21.

21*(20.42/10)=(x/21)*21

21* 20.42/10=x

21*2.042=x

42.882=x

Round to the nearest cent, or hundredth.

42.88=x

x= $42.88

A 21 pound turkey costs $42.88

Answer:

The average speed for his journey from York to Blackpool is 61.4 KM/H

Step-by-step explanation:

Answer:

given,

base (b) = 2.25cm

height (h) = 1.5 cm

now,

area (a) = b×h

or, a=2.25cm×1.5cm

therefore the area of parallelogram is 3.375cm^2.

hope it helps..

Answer:3.375 cm²

Step-by-step explanation:

Find the area of the following

parallelogram:

1.5 cm

2.25 cm

Solution:

(1.5×2.25)cm²

= 3.375 cm²

Hope it helps

Answer:

(x, y) = (2, -1.5)

Step-by-step explanation:

x + 2y = -1

5x - 4y = 16

<=>

(2)x + (2)2y = (2)(-1)

5x - 4y = 16

<=>

2x + 4y = -2

5x - 4y = 16

<=>

7x = 14

<=>

x = 2

(*)x + 2y = -1

=> 2 + 2y = -1

=> 2y = -3

=> y = -1.5

=> (x, y) = (2, -1.5)

Answer: 2077

There are 31 terms.

S₃₁ = 31(a₁+a₃₁)/2 = 31(7+127)/2 = 2077

Answer:

561

Step-by-step explanation:

an = dn - (a-d)

The difference is 3.

The first term is 12.

an = 3n - (12-3)

an = 3n - 9

Put n as 1, 2, 3, 4, 5 ....22.

3(1) - 9 = -6

3(2) - 9 = -3

3(3) - 9 = 0

3(4) - 9 = 3

3(5) - 9 = 6

...

3(22) - 9 = 57

Add the first 22 terms.

-6+-3+0+3+6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57

= 561

Answer:

Step-by-step explanation:

The number of sets that can be generated from the given set is determined by calculating the power of the set. Power of a set is expressed as 2ⁿ where:

n represents the number of elements in the set.

Given the set S = {0,1,2,3,4,5,6,7,8,9}.

n(S) = 10

The Power of the set = 2^n(S)

Power of the set = 2^10 = 1,024

This means that 1,024 different sets can be formed from the given set including the empty set.

Answer: $70 per hour

Step-by-step explanation:

Hi, to answer this question we have to calculate the hourly fee.

To do this, we simply have to divide the 5 hour fee price (350) by the number of hours worked.(5):

Mathematically speaking:

350/5 = $70 per hour

So, since the work fee is proportional, for x hours, the expression is:

70x

Feel free to ask for more if needed or if you did not understand something.

Answer:

10 inches

Step-by-step explanation:

Length of photograph, L1 = 3 inches; Length of enlarged photograph, L2 = 15 inches; Width of photograph, W1 = 2 inches; Width of photograph, W2 = ?

Hence, L1/L2 = W1/W2

∴ W2 = (L2*W1)/L1 = (15 X 2)/3 = 10 inches

Answer:

Area of rectangle = H × B

Area of rectangle = 10(H)

Step-by-step explanation:

Given:

Base (B) = 10

Height = H

Find:

Area of rectangle

Computation:

Area of rectangle = Height × Base

Area of rectangle = H × B

So,

Area of rectangle = H × B              [Base (B) = 10]

⇒ Area of rectangle = H × 10

⇒ Area of rectangle = 10(H)

Answer:

The expression that represents the area of this rectangle is 8b

When b = 10, the area of the rectangle is 80 square units.

Step-by-step explanation:

The rectangle’s base is b units, and its height is 8 units. The area of the rectangle is the product of its base and height, which is 8b.

To find the area of the rectangle when b = 10, substitute 10 for b in the expression:

8b= 8(10)

    =80

Answer:

x= -2

Step-by-step explanation:

1.5(2x-4)=2(4x+2)

3x-6=8x+4

-5x=10

x= -2

hope it will be helpful.......

Answer: y = (5)(2)x-10

Step-by-step explanation:

Answer:

Terri’s speed can be calculated like this:

her speed- [tex]\frac{6km}{0.25h}[/tex]=24km/h

Step-by-step explanation:

Answer:

  120

Step-by-step explanation:

n^2 has a factor of 18, so factors of 3^2·2. Since n^2 is a perfect square, we know n must have a factor of 3·2 = 6.

n^3 has a factor of 640, so factors of 2^7·5. Since n^3 is a perfect cube, we know n must have a factor of 2^3·5 = 40.

The least common multiple of 6 and 40 is 120.

The smallest positive integer n is 120.

_____

Check

120^2/18 = 800

120^3/640 = 2700

I’m guessing number 32 is true, since it asks you to round to the nearest integer.

To solve this problem, use the Pythagorean Theorem, which is a^2 + b^2 = c^2, where c is the hypotenuse. The hypotenuse of the triangle is always the longest side, meaning the hypotenuse would be 15.23.

To ensure these measurements can be used in order to make a right triangle, substitute the numbers into the Pythagorean Theorem.

6^2 + 14^2 = 15.23^2.

36 + 196 = 231.9529

232 = 231.9529

Because we were asked to round, that makes the equation 232 = 232, meaning the answer is true.

Answer:

-9 + 4 = 4 - 9 = -5

-5 + 8 = 8 - 5 = 3

3 is the answer

Step-by-step explanation:

8+[4+(-9)]

-9 + 4 = 4 - 9 = -5

-5 + 8 = 8 - 5 = 3

3 is the final answer.

Answer:

solution,

[tex] \sqrt{16 {a}^{8} {b}^{ - 2} } \\ [/tex]

Use negative power rule:

[tex] {x}^{ - a} = \frac{1}{ {x}^{a} } [/tex]

[tex] \sqrt{ {16}^{8} \times \frac{1}{ {b}^{2} } } \\ [/tex]

Simplify:

[tex] \sqrt{ \frac{ {16a}^{8} }{ {b}^{2} } } \\ = \frac{ \sqrt{ {16a}^{8} } }{ \sqrt{ {b}^{2} } } \\ [/tex]

Use this rule:

[tex] \sqrt{ab} = \sqrt{a} . \sqrt{b} [/tex]

[tex] \frac{ \sqrt{16. \sqrt{ {a}^{8} } } }{ \sqrt{ {b}^{2} } } [/tex]

Since, 4*4=16 ,the square root of 16 is 4

[tex] \frac{ \sqrt{ {4}^{2} } \sqrt{ {a}^{8} } }{ \sqrt{ {b}^{2} } } \\ = \frac{4 \sqrt{ {a}^{8} } }{ \sqrt{ {b}^{2} } } [/tex]

Simplify:

[tex] \frac{4 \: \sqrt{ {(a}^{4) ^{2} } } }{ \sqrt{ {b}^{2} } } \\ = \frac{4 {a}^{4} }{b} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

2

Step-by-step explanation:

The question, is basically asking for the order of rotational symmetry for the parallelogram. This is 2, which means while spinning the parallelogram around its centre point 360 degrees, it looks exactly the same, or matches with its original at 2 points

Answer:

Step-by-step explanation:

160 = 2 × 2 × 2 × 2 × 2 × 5

Hope this helps

plz mark it as brainliest!!!!!!!!!!

The number 160 as a product of prime factors is 160 = 2 × 2 × 2 × 2 × 2 × 5

A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.

A prime number factor is any prime number that can be multiplied by the original number to get the factor.

The prime factors of the numbers will be:-

160 = 2 × 2 × 2 × 2 × 2 × 5

Therefore, the number 160 as a product of prime factors is 160 = 2 × 2 × 2 × 2 × 2 × 5.

To know more about prime factors follow

https://brainly.com/question/18187355

#SPJ2

Answer:

NO

Step-by-step explanation:

IMAGE

Answer:

The number of different platters Selena can create by selecting two different vegetables is 60 different platters

Step-by-step explanation:

The information given are;

The number of different sizes of salad available = 4

The number of different vegetable to choose from = 6

The number of vegetables Selena ordered = 2

The number of ways Selena can choose 2 vegetables out of 6 = ₆C₂ = 15 ways

The number of different platters (choice of vegetable and size of platter) Selena can create = The number of different sizes of salad available × The number of ways Selena can choose the vegetables

The number of different platters (choice of vegetable and size of platter) Selena can create = 4 × 15 = 60 different platters.

Answer:

The answer would be letter B. This is because the problem wants you to find the equation that is not necessarily true. In this case G'G does not equal 8 units.

Answer:

1/6

Step-by-step explanation:

An experimental probability is the number of times an event occurred when actually attempted.

So, if Jo does the experiment 60 times and receives 50 unpainted balls, then calculate how many painted balls she got:

60-50 = 10.

So, the probability of picking a painted ball = 10/60 = 1/6

Hope this helps

Answer:

false

Step-by-step explanation:

the constant term is 3 not 8

hope this helps