The segments shown below could form a triangle.

Answer:

a. £564

b. £141

Step-by-step explanation:

a. Firstly, we add up the ratios

= 5 + 4 + 3 = 12

Amanda’s share was 5

Let the total amount be £x

Thus; 5/12 * x = 235

5x = 12 * 235

x = 2820/5 = 564

The total cost of the holiday is £564

b. We want to calculate what Bethany paid

That would be 3/12 * 564 = £141

Answer:

[tex] t = 17.3 [/tex]

Step-by-step explanation:

Given:

∆TUV,

m < T = 87°

VT = u = 11

TU = v = 14

VU = t = ?

Use the Law of Cosines to find t as shown below:

[tex] t^2 = u^2 + v^2 - 2uv*cos(T) [/tex]

[tex] t^2 = 11^2 + 14^2 - 2*11*14*cos(87) [/tex]

[tex] t^2 = 121 + 196 - 308*0.0523 [/tex]

[tex] t^2 = 317 - 16.1084 [/tex]

[tex] t^2 = 300.89 [/tex]

[tex] t = 17.3 [/tex] (rounded to the nearest tenth)

Answer:

a7 = 38

Step-by-step explanation:

n is the term indicator

an = 5n+3

Let n=7 if we are looking for the 7th term

a7 = 5*7 +3

a7 = 35+3

a7 = 38

Answer:

Area of sphere = 576 pi ft^2

Volume of sphere = 2,304 pi ft^3

Step-by-step explanation:

Radius of great circles are the same as radius of the sphere

So let’s calculate the radius of the sphere from the area given;

Mathematically;

pi * r^2 = 144pi

r^2 = 144

r = square root of 144

r = 12 ft

Volume of sphere = 4/3 * pi * r^3

= 4/3 * pi * 12^3 = 2,304 pi ft^3

Area of sphere = 4 * pi * r^2 = 4 * pi * 12^2 = 4 * 144 * pi = 576 pi ft^2

Answer:

39.2.

Step-by-step explanation:

Think of the word "of" as a sign that you have to multiply.

- Hope this helped you.

Answer:

39.2

Explanation:

To solve this problem, we must first convert the forty percent into a decimal

⟹ 40% = 0.40

Next, multiply forty percent (as a decimal) by ninety eight

⟹ 0.40 × 98 = ?

⟹ 0.40 × 98 = 39.2

Therefore, forty percent of ninety eight is 39.2.

Answer:

6

Step-by-step explanation:

Let the number be x.

1/3 × 12 = 2/3 × x

Multiply.

12/3 = 2/3x

4 = 2/3x

Multiply both sides by 3/2.

4 × 3/2 = x

12/2 = x

x= 6

Answer:

1/3 of 12 = 2/3 of 6

Step-by-step explanation:

1/3 · 12 = 2/3 · x

12/3 = 2x/3

Multiply 3 on both sides.

12 = 2x

12 ÷ 2 = x

6 = x

Answer:

D. I hope it helps!

Step-by-step explanation:

Darius is correct if only the median score is considered.

just took the quiz on edg.

Answer:

C.) (1/2, 4)

Step-by-step explanation:

The solution is where the two lines intersect

The lines intersect at x = .5 and y =4

Answer:

C.) (1/2, 4)

Step-by-step explanation:

Answer:

the base???

Step-by-step explanation:

Answer:

Exponent

Step-by-step explanation:

An exponent is a shorthand notation which tells how many times a number (or expression) is multiplied by itself.

Answer:

5x = 60

Step-by-step explanation:

Let the number be x.

The product of 5 and x equals 60.

5 × x = 60

5x = 60

Hey there!

Answer:

5x = 60.

Step-by-step explanation:

If a product (multiply) of 5 and a number equals 60:

x - represents a "number"

5 · x = 60

5x = 60.

Answer:

5/4,1.3,1 8/25

Step-by-step explanation:

5/4 = 1.25

1 8/25=1.32

1.25<1.3<1.32

Answer:

Its A

Step-by-step explanation:

i got it right

Answer:because that’s what the answer is

Step-by-step explanation:

Answer:

Y=1/2x-3

Step-by-step explanation:

Answer:

If we look at the table we notice that 2 + 4 = 6, 3 + 4 = 7, 4 + 4 = 8 and so on so the equation is y = x + 4.

Answer:

x+4

Step-by-step explanation:  

To solve this question we must look at the examples :

6-2=4

7-3=4

so the aswer is : y = x + 4

Answer:

Slope = [tex]-\frac{11}{7}[/tex]

Step-by-step explanation:

Slope = [tex]\frac{rise}{run}[/tex]

Slope = [tex]\frac{y2-y1}{x2-x1}[/tex]

Slope = [tex]\frac{7+4}{-12+5}[/tex]

Slope = [tex]\frac{11}{-7}[/tex]

Slope = [tex]-\frac{11}{7}[/tex]

Answer:

11/-7

Step-by-step explanation

- First you get you X1 and Y1 then X2 and Y2

-after getting that your problem should look like this:

7 minus negative 4

over negative -12  minus negative -5

which when subtracted will get you 11/-7!

please give brainliest!

Answer:

The interquartile range of the players' weights = 48 pounds.

Step-by-step explanation:

The boxplot attached to this question is missing. It was obtained online and is attached to this solution of the question.

It should be noted that the following is true for a boxplot.

A box plot gives a visual representation of the distribution of the data, showing where most values lie and those values that greatly differ from the rest, called outliers.

The elements of the box plot are described thus;

The bottom side of the box represents the first quartile, and the top side, the third quartile. Therefore, the width of the central box represents the inter-quartile range.

The horizontal line inside the box is the median.

The lines extending from the box reach out to the minimum and the maximum values in the data set, as long as these values are not outliers. The ends of the whiskers are marked by two shorter horizontal lines.

Variables in the dataset, higher than Q3+(1.5×IQR) or lower than Q1-(1.5×IQR) are considered outliers and are usually shown using dots above the top whisker or below the bottom whisker.

So, it is evident that for this question,

First quartile = 174 pounds

Third quartile = 222 pounds

Inter Quartile Range = (Third quartile) - (First quartile)

= 222 - 174

= 48 pounds.

Hope this Helps!!!

Step-by-step explanation:

Since your question is incomplete, I have given you two different options based on your incomplete question.

Hope you understand this.

HAVE A GOOD DAY!

Step-by-step explanation:

10b+5+18b+10

28b+15 is the answer

Answer:

28b+17

Step-by-step explanation:

=> 5(2b+1) + 6(3b+2)

Expanding the brackets

=> 10b+5+18b+12

Combining like terms

=> 10b+18b+5+12

=> 28b+17

Answer:

1 3/5

Step-by-step explanation:

2/5 ÷ 1 /4

Reciprocal.

2/5 × 4/1

Multiply.

8/5

Convert to a mixed fraction.

1 3/5

The required mixed number is given as 3 1/5 and in simplest form, it is 8/5.

Given that,
To evaluate 2/5 divided 1/4,

Fraction is defined as the number of compositions that constitutes the Whole. Fraction is representation as a/b where a and b are integers.

Here,
According to the question,
= [2/5 ]/ [1/4]
= 2/5 × 4 / 1
= [2 × 4] / [5 × 1]
= 8 / 5

Now,
Mixed number = 8/5 = 3 1/5

Thus, the required mixed number is given as 3 1/5 and in simplest form, it is 8/5.

Learn more about fractions here:
https://brainly.com/question/10708469

#SPJ3

Answer:

b / 4

Step-by-step explanation:

If you are splitting b bumper stickers between 4 members, you must divide the number of bumper stickers by the number of members, which is 4! Dividing is just like if you were to divvy something up between people, but it is a mathematical term! This will give you  b / 4.

Work Shown:

908 rounds to 900. This is because 908 is closer to 900, than it is to 1000.

While 67 rounds to 100, for similar reasoning as above.

Multiplying those rounded values gives 900*100 = 90,000. This is the number 90 thousand.

Note that 9*1 = 9 and its followed by four zeros (two each from 900 and 100). This is a quick way to mentally multiply things like this.

Using a calculator, we see that 908*67 = 60,836 which is fairly off from what we estimated. This is to be expected as estimates only give us a rough idea of how big a number is.

Answer:

It's (B)

Step-by-step explanation:

Answer:

40%

Step-by-step explanation:

He made 48 naira.

48 = 40% * 120

Answer:

1.) No

2.) 40 goals

Step-by-step explanation:

Given the following :

Last season:

Games played = 15

Points scored = 41

Current season:

Games played = 9

Points scored = 24

A)

Last season:

Goals per game = total points / number of games

Goals per game = 41 / 15 = 2.733

Current season :

Goals per game = total points / number of games

Goals per game = 24 / 9 = 2.667

Last season's goal per game is greater than that of current season.

B)

Current rate = goals / games = 24/9 - - - (1)

Let points to be scored this season = y

Ratio of y to number of games played last season = y / 15 - - - (2)

Equate both

24 / 9 = y / 15

9 * y = 24 * 15

y = 360 / 9

y = 40

Answer:

1.2x10^13

Step-by-step explanation:

Trillion=1x10^12

12 trillion=12x10^12

12 trillion=1.2x10^13

Answer:

The correct answer is B.

Step-by-step explanation:

There is no clear rule regarding the relationship with these numbers. So it is not linear.

Good Luck!

Answer:

the length of the side opposite = 20.6 feet

Step-by-step explanation:

using SOHCAHTOA

Sin 40 = opp / hyp

Sin 40 = opp / 35

opp = sin 40 x 35

opp = 20.6 feet

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject, that is

y = 2x + 1 ( subtract 1 from both sides )

y - 1 = 2x ( divide both sides by 2 )

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

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , so

[tex]f^{-1}[/tex] (x) = [tex]\frac{x-1}{2}[/tex]

Answer:  " f⁻¹(x) = (x-1)/2  ";  or, write as:

___________________________________

              " f⁻¹(x) = (x/2) - (1/2) " .

___________________________________

Step-by-step explanation:

___________________________________

Given:   f(x) = 2x + 1 ;  Find the inverse:

___________________________________

1)  Rewrite as y = 2x + 1 ;

2) Replace the "x" with "y" ; and the "y" with "x" ; and rewrite:

         x = 2y + 1 ;

3)  Now, "solve"; with "y" standing alone as a single, isolated variable on the left side of the equation, with an "equals" sign following the "y" :

         x = 2y + 1 :

Subtract "1" from each side of the equation:

         x - 1 = 2y + 1 - 1 ;

to get:

         x - 1 = 2y ;

___________________________________

↔  Rewrite as :

2y = x - 1 ;

Now, divide each side of the equation by "2" ;

  to isolate "y" on the left-hand side of the equation;

  & to solve in terms of "y":

___________________________________

2y / 2 = (x-1)/2 ;

___________________________________

to get:

y = (x-1)/2 ;

or; write as:  y = (x/2) - (1/2);

___________________________________

Now, rewrite; by replacing the "y" with "f⁻¹(x) "; as follows (to indicate that this is the "inverse function"):

___________________________________

f⁻¹(x) = (x-1)/2 ;  or, write as:

___________________________________

f⁻¹(x) = (x/2) - (1/2) .

___________________________________

Hope this is helpful to you!

 Best wishes!

___________________________________

Answer:

$112.50

Step-by-step explanation:

so the first thing you would do is add 12 to 13 to get

12 + 13 = 25

then multiply 25 by 4.50 to get

25 x 4.50 = 112.50

so the average number of tips the server has received is $112.50