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3 years ago

Ben is n years old.

Mathematics

1 answer:

Serhud [2]3 years ago

7 0

Answer:

T = 4x - 5

Step-by-step explanation:

Let x = Ben's age

2x = Chloe's age

x - 5 = Dan's age

Combine all the terms and simplify to form an equation.

T = 2x + x + x -5

T = 4x - 5

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Antwan determines the distance between the points –7 and 2 on a number line. Maggie determines the difference between the number

-Dominant- [34]

Antawan's solution is the absolute value of Maggie's solution is the solution related to Antawan's and Maggie's solution.

Given

Antawan determines the distance between two points as 9.

Maggie finds the difference between two numbers ₋ 7 ₋ 2 = ₋9

Hence we notice that Antawan's solution is the absolute value to the Maggie's solution.

The non-negative value of x, regardless of its sign, is the absolute value (or modulus) | x | of a real number x. For instance, 5 has an absolute value of 5 and so does 5, which likewise has an absolute value of 5. One way to conceptualize a number's absolute value is as its separation from zero on the real number line.

hence option 2 is right.

Learn more about absolute values here:

brainly.com/question/5012769

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6 0

2 years ago

A whatjapanthinks.com survey asked residents of Japan to name their favorite pizza topping. The possible responses included the

grin007 [14]

Answer:

See Explanation

Step-by-step explanation:

Solving (a):

First, we categorize each data (to get their frequencies):

PI PI PI PI PI PI PI PI PI ---> Frequency: 9

S S S S S S S S---> Frequency: 8

V V V V V V V V V V V V V ---> Frequency: 13

PO PO PO---> Frequency: 3

B ---> Frequency: 1

C C ---> Frequency: 2

Total = 36.

The frequency table is as follows:

$\begin{array}{cc}{Pizza\ Topping} & {Frequency} & {Beacon\ or\ Ham} & {9} & {Seafood} & {8} \ \\ {Vegetable\ and Fruit} & {13} & {Poultry} & {3} & {Beef} & {1} & {Cheese} & {2}\ \end{array}$

Solving (b): The relative frequency and percentage.

Relative frequency is calculated by dividing each frequency by the total frequency.

So, we have:

${Beacon\ or\ Ham} = \frac{9}{36} =0.250$

$Seafood = \frac{8}{36} =0.222$

$Fruits\ and\ Vegetable = \frac{13}{36}=0.361$

$Poultry = \frac{3}{36}=0.083$

$Beef = \frac{1}{36}=0.028$

$Cheese = \frac{2}{36}=0.056$

The percentage is calculated by multiplying the frequency by 100%.

So, we have:

$Bacon\ or\ Ham = 0.250 * 100\% = 25.0\%$

$Seafood = 0.222 * 100\% = 22.2\%$

$Fruits\ and\ Vegetable= 0.361 * 100\% = 36.1\%$

$Poultry = 0.083 * 100\% = 8.3\%$

$Beef = 0.028 * 100\% = 2.8\%$

$Cheese = 0.056 * 100\% = 5.6\%$

Solving (c): Percentage that mentioned vegetables and fruits, poultry, or cheese?.

This is calculated as:

$\%Percent = Vegetable\ and\ fruits + Poultry + Cheese$

$\%Percent = 36.1\% + 8.3\% + 5.6\%$

$\%Percent = 50\%$

(d) See attachment for bar graph

5 0

3 years ago

What is the value of p?

grigory [225]

Answer: p = 42

The bottom chord is 21+21 = 42 units long. This bottom chord is 11.2 units away from the center. Any other chord the same distance from the center will have the same length. The top chord has the same length of 42 units as it is also 11.2 units from the center.

8 0

3 years ago

The weight of 45 cartons is 405kg. Find the weight of 73 cartons

vodka [1.7K]

Answer:

657kg

Step-by-step explanation:

405 ÷ 45 = 9

9 x 73 = 657kg

I hope this helps!

8 0

3 years ago

Read 2 more answers

Write an equation in slope-intercept form of the line that bisects the angle formed by BA and BC

slega [8]

Given:

Angled formed by ray BA and ray BC is 90 degrees.

To find:

The equation of line that bisects the angle formed by ray BA and ray BC.

Solution:

If a line bisects the angle formed by ray BA and ray BC, then it must be passes through point B and makes angles of 45 degrees with ray BA and ray BC.

It is possible if the line passes though point B(-1,3) and other point (-2,4).

Equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$