For Exercises 23 and 24, find the value of x and the measure of each interior angle

The ages of Wilson, Randy and Greg given their total ages is 7, 10 and 15 years respectively.

This means that the total ages of Wilson, Randy and Greg is 7 years, 10 years and 15 years.

Let's represent the information above as follows:

The total ages = Wilson + Randy + Greg

That is, Wilson's age, Randy's age and Greg's ages is given as:

32 = x + (x + 3) + (x + 3) + 5

32 = x + x + 3 + x + 3 + 5

32 = 3x + 11

32 - 11 = 3x

21 = 3x

x = 21/3

x = 7 years

Therefore, from the calculations above,

Wilson's age = x

= 7 years

Randy's age = (x + 3)

= 7 + 3

= 10 years

Greg = (x + 3) + 5

= (10) + 5

= 15 years

Learn more about algebra:

https://brainly.com/question/4344214

#SPJ1

The number of hours needed for the second press to complete the job is 3 hours.

An equation represents the relationship of two expressions on either side of the sign

Given that together they can complete a job in 2 hours and one takes 6 hours to complete the work alone.

If we let x = amount of time required for the second press to complete the job alone

We can write as:

Second press work = 1/x of the job per hour.

First press work = 1/6 of the job per hour.

Together work = 1/2 of the job per hour.

We can write the equation as:

1/6 + 1/x = 1/2

1/x = 1/2 - 1/6

1/x =  (3 - 1)/6

1/x = 2/6

1/x = 1/3

x = 3

Thus number of hours needed for the second press to complete the job is 3 hours.

Learn more about Time and work here:

https://brainly.com/question/14008184

#SPJ1

Answer:

a=79

Step-by-step explanation:

you just have to make "a" the subject of the formula so as to solve for "a"

a=47+32=79

The total hours worked on each day of his normal work week is 7.5 hours.

The total hours worked is a function of the total hours worked during the week and the hours worked on Saturday.

The equation that represents the total hours that Diego worked is:

Total hours = total hours worked during the five days + hours worked on Saturday

52 = (5 X H) + 7 + H

52 = 5H + 7 + H

In order to determine the value of H, take the following steps:

Combine similar terms together: 52 - 7 = 5H + H

Add similar terms together: 45 = 6h

Divide both sides of the equation by 6 : H = 45 /6

H = 7.5 hours

To learn more about mathematical equations, please check: https://brainly.com/question/26427570

#SPJ1

Answer:

690

Step-by-step explanation:

The multiples of 3 between 5 and 64 are 6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57+60+63 which gives you 690.

Hope this helps, have a good day! :D

Answer: ∑=690

Step-by-step explanation:

Let's use the formulas for an arithmetic progression:

[tex]a_1=6 \ \ \ \ \ a_n=63\ \ \ \ d=3\\a_n=a_1+(n-1)d\\63=6+(n-1)3\\63=6+3n-3\\63=3+3n\\63-3=3+3n-3\\60=3n\\[/tex]

Divide both parts of the equation by 3:

[tex]20=n[/tex]

Thus,

[tex]\displaystyle\\\sum=\frac{a_1+a_n}{2} n\\\\\sum=\frac{6+63}{2}20 \\\\\sum=\frac{69*20}{2} \\\\\sum=69*10\\\\\sum=690[/tex]

Answer:

60000 cm squared 600 dm squared or 60 cm squared

Step-by-step explanation:

Answer:

cool hahahahhahahahahaha ano to app nato

Answer:

99 x 78 = 7722

+ 33

= 7755

x 66

Answer:

6.21 × 10⁵

Step-by-step explanation:

move thee decimal from .21000 thats how you get 5

a. A model for the difference in feet between car A and car B is d(t) = = 0.35t² - 3t - 1.

b. The difference in feet between car A and car B after 10 seconds is 4 feet

c. To tell which car is in the lead,

Since the distance in feet of car A from the starting line is modeled by the function f(t) = 0.25t² + 22t - 1, where t is the time in seconds since the start of the race.

Also, the distance in feet of car B from the starting line is modeled by the function g(t) = -0.1t² + 25t.

The difference in distance between car A and car B d(t) is the difference between their distance from the starting line.

So, d(t) = f(t) - g(t)

= 0.25t² + 22t - 1 - ( -0.1t² + 25t)

= 0.25t² + 22t - 1 + 0.1t² - 25t

= 0.35t² - 3t - 1

So, a model for the difference in feet between car A and car B is d(t) = = 0.35t² - 3t - 1.

Since the difference in distance in feet between car A and car B  is d(t) = 0.35t² - 3t - 1.

To find the difference in distance after 10 seconds, we substitute t = 10 into d(t).

So, d(t) = 0.35t² - 3t - 1.

d(10) = 0.35(10)² - 3(10) - 1

= 0.35(100) - 30 - 1

= 35 - 31

= 4 feet

So, the difference in feet between car A and car B after 10 seconds is 4 feet

Since the difference in distance in feet between car A and car B  is d(t) = 0.35t² - 3t - 1

= f(t) - g(t)

Since

So, to tell which car is in the lead,

Learn more about difference in distance in feet here:

https://brainly.com/question/18955317

#SPJ1

The value of the num will be 18 after the expression is evaluated.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that int x = 4; int y = 9 / 2; int num = 6; num *= x y; the value of num after the evaluation of the expression will be:-

num = x y

num = [ ( 4 x ( 9 / 2 ) ]

num = 9 x 2

num = 18

Therefore, the value of the num will be 18 after the expression is evaluated.

To know more about an expression follow

https://brainly.com/question/10873737

#SPJ6

The length of the diagonal AC can be calculated using equations:

= √(64 + W²).

The correct option is B.

The Pythagorean theorem states that the total of the squares upon that legs of a right triangle equals the square upon that hypotenuse (the side opposite this same right angle)—or, in popular algebraic notation:

a² + b² = c².

The length of the rectangle = 8

The width of the rectangle = w

The hypotonus of the rectangle = p

Using the Pythagoras formula:

P² = L² + W²

P = √(L² + W²)

Putting the value of Length = 8

P = √(8² + W²)

P = √(64 + W²)

The length of the diagonal AC can be calculated using equations:

= √(64 + W²).

To know more about Pythagorean Theorem visit:

https://brainly.com/question/28361847

#SPJ9

Delila is correct as she multiplying three negative numbers and determines that the solution will be negative.

As given in the question,

Let the three negative numbers be -x , -y , and -z.

Delia is multiplying three negative numbers

Multiply First two numbers

(-x) (-y) = + x y  as (-)(-) = +

Multiply by third numbers

(+x y) (-z) = -x y z   as ( +)(-) = -

Therefore, Delila is correct as she multiplies three negative numbers and determines that the solution will be negative.

Learn more about numbers here

brainly.com/question/17429689

#SPJ4

Answer:

Yes, she is correct.

Lower-level offenders are more likely to be prosecuted than higher-level offenders.

Therefore, lower-level offenders are more likely to be prosecuted than higher-level offenders.

Know more about the Working class here:

https://brainly.com/question/25573133

#SPJ4

Answer:

There will be 18 boys.

Step-by-step explanation:

im assuming you are looking for how many boys are left,I did 60% by 30 = 18

Answer:

there are 18 girls

Step-by-step explanation:

one really cool trick is the total like 30 x 0.60 this will give you the percentage

Answer: 3

Step-by-step explanation:

3 * 3 * 3 = 27

Answer:

3

Step-by-step explanation:

The expression is cube root.

The root function essentially wants to find a number that when multipled n times will give the input to the function.

In this case n = 3

We need a number when multiplied by itself 3 times will give us 27.

In other words we need [tex]x^{3}[/tex] = 27

If u rearrange u simply get the expression given and u can solve simply by way of calculator.

Answer:

-3 X (x^2 - 8)

Step-by-step explanation:

put "the square of a number decreased by 8" in parentheses so when -3 is multiplied with that, it does not get multiplied with y^2 and -8.

anytime you see "a number" in a sentence, put it as a random variable, in this case, I decided it should be "x".

Answer: 99,999

Step-by-step explanation:

Answer:

2.1/5

3.7/5

4.7/20

Step-by-step explanation:

2.1/5

3.7/5

4.7/20

Greetings from Brasil...

A - fraction addition/subtraction with equal denominators = keep the denominator and add/subtract only the numerators

B - fraction addition/subtraction with different denominators = we have to use LCM

2)

(10/15) - (7/15) - case A

(10 - 7)/15 = 3/15

3)

(8/10) + (3/5) - we can simplify the first fraction

(8/10) + (3/5) = (4/5) + (3/5) = (4 + 3)/5 = 7/5

4)

(3/4) - (2/5) - case B

LCM 4 and 5 = 20

(3/4) - (2/5) = 7/20

========================================================

Explanation:

We have these points

Focus on the x coordinates for now.

The x coordinates of A and B are -3 and x in that order. Add them up and divide in half to get the x coordinate of the midpoint M

(-3+x)/2 = 1

-3+x = 2*1

-3+x = 2

x = 2+3

x = 5

Repeat for the y coordinates

(6+y)/2 = 2

6+y = 2*2

6+y = 4

y = 4-6

y = -2

Therefore, the location of point B is (5, -2)

You can use a tool like GeoGebra to check your work.

The termination standards used by Internet backbone infrastructure, Internet service providers, down to individual residences or companies, are T568A and T568B.

When should you employ both the T568A and T568B standards and what are their differences?

What is T568B standard?

Learn more about T568B standard

brainly.com/question/14456618

#SPJ4

the answer is A,

when 2 items are congruent it means they are the same or identical, eg "these triangles are congruent"

For the given question;

The total number of school students = 4000.

Percentage student of boys; 40%.

Thus the percentage of girls; 100 - 40 = 60

Thus, the total percentage of girls are 60%.

For finding the number of girls find the 60% of the total school students.

= 60% of 4000

= 60% × 4000

= (60×4000)/100

= 60×40

= 2400

Thus, the number of school girls are 2400.

To know more about the percentage of the number, here

https://brainly.com/question/24304697

#SPJ9

Answer:

everything is going to beat

Answer:

9600 divided by 30 is 320

Please Mark as brainliest.

Answer:

Step-by-step explanation:

6x + 3 = 2x - 9

6x - 2 x = -9 - 3

4x = -12

x = -12 : 4

x = -3

----------------

CHECK

6 * (-3) = 2* (-3) - 9

-18 = -15

the equation is false

Answer:

1.1n represents the cost of the pencils

1.7m is the cost of the pads of paper

The expression represents that she bought a package of pencils and a pad of paper

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

The total fare, f, is:

f = 2.25x + 3

We want to solve for x. the number of miles. This is fairly simple if we know f.

48 = 2.25x + 3
48 - 3 = 2.25x + 3 - 3
45 = 2.25x
45/2.25 = 2.25x/2.25
20 = x