Aiyanna wrote the ratio 3:5 to compare the number of pairs of shorts that she owns to the number of pairs of jeans that she owns. Which is equivalent to Aiyanna's ratio?​

Answer:

4 times faster

Step-by-step explanation:

From the above question, we have the following information

Let us represent the Distance traveled by Abigail as Y

On her skateboard she travelled two thirds of the way = 2/3Y

She walks the rest of the way home = Y - 2/3Y = 1/3Y

The time she used to walk home is twice the time she used to ride her skate board

Hence, let us represent the time she used to ride her skateboard as S

So, Time she used to walk home = 2 × S = 2S

The question is asking us, how fast ,this is = Speed

The formula for Speed = Distance/ Time

Speed for her skate board = 2/3Y/S = 2Y/3S

Speed as she walks = 1/3Y / 2S = Y/ 6S

How many times faster is Abigail on her skateboard than she is walking is calculated as :

Speed of Abigail while skating ÷ Speed of Abigail while walking

= 2Y/3S ÷ Y/6S

= 2Y/3S × 6S/Y

= 4

Therefore, Abigail was 4 times faster on her skateboard than she is walking.

Answer:

Scalene and right

The given triangle is the right-angle triangle.

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.

The given triangle has one angle equal to 90 degrees and the line is perpendicular to the base.

Hence, the given triangle is the right-angle triangle.

To know more about the right-angled triangles follow

https://brainly.com/question/18452950

#SPJ5

Answer:

smaller number = 5

larger number = 10

Step-by-step explanation:

Let

smaller number = x

larger number = x+5

"the smaller number is half of the larger" means

x+5 = 2x

Solve for x

5 = 2x -x = x

Therefore

smaller number = 5

larger number = 10

Answer:

The larger number is 10 and the smaller is 5 less, or 5.

Step-by-step explanation:

Represent the larger and the smaller numbers by L and S.

Then L = S + 5, and S = L/2

Substituting L/2 for S in the first equation, we get L = (L/2) + 5

Multiplying both sides by 2, we get 2L = L + 10, or L = 10.

The larger number is 10 and the smaller is 5 less, or 5.

Answer:

2

Step-by-step explanation:

=> 10-8

=> 2 (Equivalent Expression)

Answer:

The answer Is 10.20

Step-by-step explanation:

d = \/(0-(-2))² + (-6-4)²

d = \/(0+2)² + (-10)²

d = \/(2² + 100)

d = \/(4+100)

d = \/104

d ~ 10,20

Step-by-step explanation:

by using distance formula it is easily calculated

Answer:

Gretas car gets better gas mileage

Step-by-step explanation:

18 km= 18,000 miles

18,000>28

So, Gretas car gets better gas mileage

Hope this help!

Answer:

EH = 3.31

Step-by-step explanation:

We have been given a right angle triangle EKL. As KH has been given as the altitude (perpendicular) of the right angled triangle, and K is the right angle, we can say that EK is tthe base of the triangle and EH is the only side lleft, which is the hypotenuse of the triangle.

Where,

EK = Base = 3

KH = perpendicular altitude

EH = Hypotenuse

m<K = 90

m<E = 25

We know that

cosθ = Base/ Hypotenuse

cos 25 = 3/ EH

EH = 3/cos25

EH = 3.31

Perpendicular alitutude can also be calculated by using the formula for tanθ.

Answer:

Hello There!

~~~~~~~~~~~~~~~~~~~~`

[tex]h \geq 48 inches tall[/tex]

In order to ride on the ride an individual must be at least 48 inches tall.

This means that the individual must be equal to 48 inches tall.

[tex]h = 48[/tex]

and the individual could be greater than 48 inches tall.

[tex]h > 48[/tex]

So the individual could be greater than and equal to 48 inches tall.

[tex]h \geq 48[/tex]

Hope this helped you. Brainliest would be nice!

Answer:

12 different outfits

Step-by-step explanation:

2 x 2 x 3 = 12 outfits.

Answer:

12

Step-by-step explanation:

He has 2 possibilities for a shirt, 2 possibilities for a pant, and 3 possibilities for a cap. You just multiply them together:

2 * 2 * 3 = 12 outfits

Answer:

m = -1/2

Step-by-step explanation:

Slope Formula: [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in 2 coordinates into the slope formula to find our slope m:

(-8, 0) x-int

(0, -4) y-int

m = (0 + 4)(-8 - 0)

m = 4/-8

m = -1/2

Answer:

Bob's home will worth $296,779.25 after 12 years.

Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]

Step-by-step explanation:

Current value of Bob's house =[tex]FV = $175,000( 1 + 4.5/100)^12\\FV = $175,000( (100+ 4.5)/100)^12\\FV = $175,000( (104.5)/100)^12\\FV = $296,779.25[/tex]

market is improving at 4.5% annually.

This, means that the value of house gets appreciated by 4.5% each year from its previous year value.

This is a problem of compound interest formula

[tex]FV = PV(1+r/100)^n[/tex]

where PV is the present value of any thing

FV is the future value

r is the annual rate of interest

t is the time in number of year for which rate is applicable.

_____________________________________

Given

PV = $175,000.

r = 4.5%

t = 12 years

Value after 12 year will be given by

[tex]FV = $175,000( 1 + 4.5/100)^(12)\\FV = $175,000( (100+ 4.5)/100)^(12)\\FV = $175,000( (104.5)/100)^(12)\\FV = $296,779.25[/tex]

Thus, Bob's home will worth $296,779.25 after 12 years.

Equation used is [tex]FV = $175,000( 1 + 4.5/100)^(12)\\[/tex]

Answer:

y=437

Step-by-step explanation:

Move all terms not containing  y  to the right side of the equation.

Add  226  to both sides of the equation.

y/23=−207+226

Add  −207  and  226.

y/23=19

Multiply both sides of the equation by  23.

23⋅y/23=23⋅19

Simplify both sides of the equation.

Cancel the common factor of  23.

cancel out the common factors

23⋅y23=23⋅19

Rewrite the expression.

y=23⋅19

Multiply  23  by  19.

y=437

dont forget to give me brainliest

Answer:

If an image of a triangle is congruent to the pre-image, then the scale factor of the dilation must be n = 1. Dilating an image with a dilation factor of 1 will result to the same image and that ensures the congruency between the pre-image and the dilated image.

Step-by-step explanation:

Answer:

[tex]y = 20.7[/tex]

Step-by-step explanation:

Given

The figure above

Required

Calculate the y component

Represent the y component with y, the resultant vector with s and the angle with [tex]\theta[/tex]

The y component of a vector (as it is, in this case) is calculated as thus;

[tex]sin\theta = \frac{y}{s}[/tex]

[tex]Where\ \theta = 15\\ s = 80[/tex]

Substituting these values in the equation

[tex]sin\theta = \frac{y}{s}[/tex] becomes

[tex]sin\ 15= \frac{y}{80}[/tex]

Multiply both sides by 80

[tex]80 * sin\ 15= \frac{y}{80} * 80[/tex]

[tex]80 * sin\ 15= y[/tex]

[tex]80 * 0.2588190451= y[/tex]

[tex]20.705523608 = y[/tex]

[tex]y = 20.705523608[/tex]

[tex]y = 20.7[/tex] (Approximated)

Answer:

The correct option is A

A) y = (1/5)x + 6

Step-by-step explanation:

The equation of the first cut shown in the graph is:

y = (1/5)x - 1

We know that a general form of linear equation is given as:

y = mx + c

Comparing both equations, we get that the slope m = 1/5

As the second cut is parallel to the first cut, it will have the same slope, that is m = 1/5

Substitute it in the general linear equation

y = mx + c

y = (1/5)x + c

We know that this equation passes through the point (0,6), substitute it in  the above equation>

6 = (1/5)(0) + c

c = 6

The equation for second cut be found by using m = 1/5 and c = 6

y = mx + c

y = (1/5)x + 6

Using trigonometric relations, it is found that:

[tex]\sin{\alpha}\cos{\alpha} = 0.22[/tex]

We are given that:

[tex]\sin{\alpha} + \cos{\alpha} = 1.2[/tex]

Hence:

[tex]\sin{\alpha} = 1.2 - \cos{\alpha}[/tex]

The basic relation is:

[tex]\sin^{2}{\alpha} + \cos^{2}{\alpha} = 1[/tex]

Hence:

[tex](1.2 - \cos{\alpha})^2 + \cos^{2}{\alpha} = 1[/tex]

[tex]2\cos^{2}{\alpha} - 2.4\cos^{\alpha} + 0.44 = 0[/tex]

Which is a quadratic equation, with coefficients [tex]a = 2, b = -2.4, c = 0.44[/tex].

Using a quadratic equation calculator, and considering that the cosine has to assume a value between 0 and 1, it is found that the solutions are:

[tex]\cos{\alpha} = 0.9742, \cos{\alpha} = 0.2258[/tex]

Since [tex]\sin{\alpha} = 1.2 - \cos{\alpha}[/tex], there are two solution pairs:

[tex](\sin{\alpha}, \cos{\alpha}) = (0.9742, 0.2258)[/tex]

[tex](\sin{\alpha}, \cos{\alpha}) = (0.2258, 0.9742)[/tex]

They result in the same multiplication result, hence:

[tex]\sin{\alpha}\cos{\alpha} = 0.9742(0.2258) = 0.22[/tex]

To learn more about trigonometric relations, you can take a look at https://brainly.com/question/24680641

Answer:

3/2f = 2e

Step-by-step explanation:

The equation is Written has this (3/2f = 2e)

Answer:

[tex]\frac{2}{3} f=2e[/tex]

Step-by-step explanation:

[tex]\frac{2}{3} *9=6[/tex] ~ this is an example of the answer being used to be multiplied by [tex]f[/tex] to get the result which is listed through [tex]e[/tex]. This example is Batch B, cups of flour was 9. 9 multiplied by [tex]\frac{2}{3}[/tex] will lead us to 6 which is the number of eggs used in Batch B.

Hope this helps!

Answer:

Step-by-step explanation:

The surface area of a sphere with radius r is given by

S = 4 pi r^2

for a radius of 11 units,

S =  4 pi 11^2 = 484 pi = 1520.5 sq. units

This does not correspond to any of the answers.

Please check question.

Answer:

484[tex]\pi[/tex]

Step-by-step explanation:

Surface Area of Sphere Formula: 4[tex]\pi[/tex]r[tex]r^{2}[/tex]

When you plug it in it is 4[tex]\pi[/tex][tex]11^2[/tex]

Then you would get 484[tex]\pi[/tex]

Answer:

I got x<3

Step-by-step explanation:

Answer:

x < 3

Step-by-step explanation:

Add 5 to both sides.  Then:  3x < 9 and x < 3.

The solution is the area to the left of x = 3 (but not touching x = 3).

Answer:

£48

Step-by-step explanation:

56 ÷ 7 = £8

56 - 8 = £48

Please let me know if my answer is correct.

Answer:

48

Step-by-step explanation:

Answer:

x = 7

Step-by-step explanation:

=> 7x+9 = 8x+2 (Corresponding angles are equal)

=> 8x-7x+2 = 9   (Subtracting 7x to both sides)

=> x = 9-2  (Subtracting 2 to both sides)    

=> x = 7

Answer: [tex](x+10)^2+119=0[/tex]

Step-by-step explanation:

For a quadratic equation, the vertex form is given by : [tex]y=a(x-h)^2+k[/tex], where (h, k) is the vertex.

The given quadratic equation: [tex]x^2 + 20x + 28 = 9[/tex]

Subtract 9 from both sides

[tex]=x^2+20x+19=0[/tex]

compare this to [tex]x^2+bx=c[/tex], and add [tex](\frac{b}{2})^2[/tex] both sides

b= 20

[tex]x^2+20+100+19=-100[/tex]   [(b/2)²=20/2=10]

[tex]\Rightarrow\ x^2+2(x)(10)+10^2+119=0[/tex]

[tex]\Rightarrow\ (x+10)^2+119=0\ \ \ [\because\ (a+b)^2=a^2+b^2+2ab][/tex]

So, the vertex form : [tex](x+10)^2+119=0[/tex]

Answer:

A) ∠9 = ∠10 = ∠11 = ∠12  = 90°

∠2 = ∠3 = ∠5 = ∠8 = 135°

∠1 = ∠4 = ∠6 = ∠7 = 45°

B) 1. ∠4 and ∠1 -> vertical angles

2. ∠7 and ∠5 -> supplementary

3. ∠9 and ∠10 -> supplementary

Step-by-step explanation:

Data

The following are vertical angles, so they are congruent:

∠1 ≅ ∠4

∠3 ≅ ∠2

∠11 ≅ ∠9

∠10 ≅ ∠12

∠7 ≅ ∠6

∠5 ≅ ∠8

From here and data, it is deduced that

∠11 ≅ ∠9 ≅ ∠10 ≅ ∠12

From the picture, the addition of them is equal to 360°, then:

∠11 + ∠9 + ∠10 + ∠12 = 360°

4*∠11 = 360°

∠11 = 360°/4

∠11 = 90° = ∠10 = ∠9 = ∠12

∠2 and ∠4 are supplementary, then:

∠2 + ∠4 = 180°

∠2 = 180° - 45°

∠2 = 135°

∠7 and ∠5 are supplementary, then:

∠7 + ∠5 = 180°

∠7 = 180° - 135°

∠7 = 45°

Answer:

Started learning this today and this made a lot easier

Answer:

A decrease of 9.2% is 1 - 0.092 = 0.908. 0.908 * 721.45 = 655.08.

Answer:

721.45 x 9.2% = 721.45 x 0.092 = 66.37

so 66.37 is the discount

721.45 - 66.37 = 655.08

So 655.08 is the discounted price

655.08 is the answer

Hope this helps

Step-by-step explanation:

Answer:

462 ways

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

To be a function the graph must pass the vertical line test. If any of the vertical lines which can be drawn intersects the graph more than once then it's not function.

So Graph 1 is not a function because a vertical line passes through the 2 points in quadrant 1, whereas Graph 2 is a function because any vertical line you can draw only passes through the graph once.

Graph 3 - not a function.

Graph 4 - not a function.

Graph 5 - not a function.

Graph 6 is a function.

Answer:

15

Step-by-step explanation:

Answer:

-(4x + 7)/2 - (3x - 2)/2 = (-4x - 7 - 3x + 2)/2 = (-7x - 5)/2

Answer:

Step-by-step explanation:

(3a) - 27 = 3a - 3^3 = 3(a - 3^2)

Next time, please share all of the answer choices.  Thanks.

Answer:

C.21

Step-by-step explanation:

The value of 1/ (2x³ + 3.4y) is 1/33.

The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.

Given:

Fraction = 1/ (2x³ + 3.4y)

We have the value x= 2 and y=5.

So,  1/ (2x³ + 3.4y)

=  1/ (2(2)³ + 3.4(5))

=  1/ (2(8) + 17)

=  1/ (16+17)

=  1/ 33

Hence, the value is 1/33.

Learn more about Fraction here:

https://brainly.com/question/10354322

#SPJ6