The sum of the ages of Mark, Tim and Jane is 39. In 5 years, the ratio of Mark's
5 age to
Tim's age to Jane's age will be 10:9:8. How old is Mark now?
A.
В.
C.
D.
15
14
13
20​

Answers

Answer 1

Answer:

A. 15

Step-by-step explanation:

10 : 9 : 8

Mark: 10x

Tim: 9x

Jane: 8x

(10x - 5) + (9x - 5) + (8x - 5) = 39

10x - 5 + 9x - 5 + 8x - 5 = 39

27x - 5 - 5 - 5 = 39

27x - 15 = 39

27x - 15 + 15 = 39 + 15

27x = 54

27x ÷ 27 = 54 ÷ 27

x = 2

Mark: 10x - 5

10x - 5

10(2) - 5

20 - 5

15


Related Questions

I NEED HELP WITH THIS ONE TOO!

Answers

4 × ( 4 + 9 ) = 2 × ( 2 + x )

4 × 13 = 2 × ( 2 + x )

2 × 2 × 13 = 2 × ( 2 + x )

2 × 26 = 2 × ( 2 + x )

Divide both sides by 2

2 × 26 ÷ 2 = 2 × ( 2 + x ) ÷ 2

26 = 2 + x

Subtract both sides 2

26 - 2 = 2 - 2 + x

x = 24

PLEASEEEE HELPPPP PLEASEEEEEE HELPPPPPPPPPPPPPP IM BEGGING SOMEONE

Answers

Answer:

1.) Adjacent and form a linear pair

2.) Adjacent and form a linear pair

3.) Adjacent

4.) Not adjacent

Hope this helps!

Answer:

1.) Adjacent and form a linear pair

2.) Adjacent and form a linear pair

3.) Adjacent

4.) Not adjacent

Find the product of 403 and 89.

Answers

[tex]35,867[/tex] ✅

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]403 \times 89 \\ = 35,867[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]

Answer:

35867 is the product of 409 and 89. At least I think so.

Step-by-step explanation:

Which type of line of symmetry does the figure have?​

Answers

I Hope this helps!!!!!

In order to solve by completing the square, what value needs to be added to both sides of the equation:

Answers

Answer:

The answer is "[tex](x + 8)^2 = 58[/tex]"

Step-by-step explanation:

Let the equation is:[tex]x^2+16x=-6[/tex]

by adding and subtracting 64 then:

[tex]x^2 + 16x + 64 = -6 + 64\\\\x^2 + 2\times x\times 8 + 64 = -6 + 64\\\\ (x + 8)(x + 8) = 58\\\\ (x + 8)2 = 58[/tex]

In 1945, a microwave cost $435. Today, a microwave costs $130. What is the percent of change?

Answers

Answer:

29.89%

Step-by-step explanation:

Step 1: We assume that 435 is 100% since it is our output value.  

Step 2: We next represent the value we seek with [tex]$x$[/tex].  

Step 3: From step 1, it follows that [tex]$100\%=435$[/tex].  

Step 4: In the same vein, [tex]$x\%=130$[/tex].  

Step 5: This gives us a pair of simple equations:  

[tex]100\%=435(1)\\\\x\%=130(2)[/tex]  

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS  (left-hand side) of both equations have the same unit (%); we have  

[tex]$\frac{100\%}{x\%}=\frac{435}{130}$[/tex]  

Step 7: Taking the inverse (or reciprocal) of both sides yields  

[tex]\frac{x\%}{100\%}=\frac{130}{435}\\\\\Rightarrow x=29.89\%[/tex]  

Therefore, [tex]$130$[/tex] is [tex]$29.89\%$[/tex] of [tex]$435$[/tex].

PROBABLY THE LAST THING IMA ASK FOR NOW BUT UH HELP

Answers

Answer:

3520 Yards

Step-by-step explanation:

1 Mile = 1760 Yards

Answer: 3520 yards

Step-by-step explanation:

1 mile = 5280 x 2 = 10,560

2miles = 10,560

in yards = 3520 yards

Carolina y Juan fueron a la tienda y entre los dos se gastaron Q15.00. Carolina gastó Q3.20 más que Juan. ¿Cuánto gastó Juan? Grupo de opciones de respuesta

Answers

Answer:

Q 5.9

Step-by-step explanation:

Que el dinero gastado por Juan sea x

Deja que el dinero gastado por Carolina sea y

Si el dinero total gastado es Q 15

Luego;

x + y = 15 ------- (1)

De la segunda oración;

y = x + 3,2 -------- (2)

Sustituyendo (2) en (1)

x + x + 3,2 = 15

2x + 3,2 = 15

2x = 15 - 3,2

2x = 11,8

x = 5,9

x = Q 5.9

Por lo tanto Juan gastó Q 5.9

A sociologist reviews randomly selected surveillance videos from a public park over a period of several years and records the amount of time people spent on a smartphone. The statistical procedure the sociologist used is called...

Answers

Answer:

an observational study.

Step-by-step explanation:

An observational study can be defined as a type of study in which a researcher observes and measures the effect of a diagnostic test, risk factors, or treatments on individuals without intervening, changing or manipulating who are or aren't exposed to it (controlled conditions).

In this scenario, a sociologist reviews and analyzes a public park surveillance videos that were randomly selected over a period of several years. From the data obtained, he records the amount of time people spent on a smartphone. Thus, the statistical procedure the sociologist used is called an observational study because he doesn't interfere or manipulate the surveillance video containing information about the amount of time people in the public park spent on their smartphone.

Additionally, an unobtrusive data collection is a data collection technique used mainly in the social sciences to obtain or gather data without the researcher directly interfering or interfacing with the subject being studied. Thus, it doesn't influence the behavior, action or response of the subjects under study.

Match the formula to the correct figure.
We got- cylinder, cube, cone, and pyramid.
1. πxr^2xh
2. 1/3Bxh
3. 1/3 πxr^2xh
4. Lxwxh

No bit links plz. 15 points.

Answers

Given:

The figures cylinder, cube, cone, and pyramid.

To find:

The formula of volume for the given figures.

Solution:

Volume of a cylinder is:

[tex]V_1=\pi r^2h[/tex]

Where r is the radius and h is the height.

Volume of a cube is:

[tex]V_2=a^3[/tex]

Where a is side length of cube.

It is also written as:

[tex]V_2=l\times w\times h[/tex]

Where l is length, w is width, h is height and [tex]l=w=h[/tex].

Volume of a cone is:

[tex]V_3=\dfrac{1}{3}\pi r^2h[/tex]

Where r is the radius and h is the height.

Volume of a pyramid is:

[tex]V_4=\dfrac{1}{3}Bh[/tex]

Where B is the base area and h is the height.

Therefore the table of formulae is shown below:

Figure                       Volume formula

Cylinder                   [tex]\pi r^2h[/tex]

Cube                        [tex]l\times w\times h[/tex]

Cone                        [tex]\dfrac{1}{3}\pi r^2h[/tex]

Pyramid                    [tex]\dfrac{1}{3}Bh[/tex]

If a circle has a radius of 16, and an arc length of 12, what is the angle measure of the central angle that matches that arc?

Answers

Answer:

135°

Step-by-step explanation:

The arc length is calculated as

EF = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{?}{360}[/tex]

Given EF = 12π , then

2π × 16 × [tex]\frac{?}{360}[/tex] = 12π ( divide both sides by 2π )

16 × [tex]\frac{?}{360}[/tex] = 6 ( multiply both sides by 360 to clear the fraction )

16 ? = 2160 ( divide both sides by 16 )

? = 135°

What is the value of the expression 99 – 7a2 when a a = 3?

Answers

Answer:

36

Step-by-step explanation:

plug in a=3 for a

I belive you meant 99- 7 * a^2

so 99- 7 * (3)^2 = 36

The value of the expression  99 - 7a² for a = 3 is 36.

What is an algebraic expression?

In mathematics, an expression that incorporates variables, constants, and algebraic operations is known as an algebraic expression.

The given expression is 99 - 7a².

Substitute a = 3 into the given expression:

99 - 7 (3)²

= 99 - 7×9

= 99 - 63

= 36

Hence, the value of the expression  99 - 7a² for a = 3 is 36.

Learn more about algebraic expressions here:

https://brainly.com/question/953809

#SPJ6

Given the cosine equation y = 2cos(4x) - 1, What is the midline?

Answers

Answer:

[tex]y = 2 \cos(4x) - 1 \\ when \: y = 0 \\ \cos(4x) = \frac{1}{2} \\ 4x = 60 \\ x = 15 \\ when \: x = 0 \\ y = 2 - 1 = 1 \\ intercepts = > (15, \: 0) \: and \: (0, \: 1) \\ midpoints : ( \frac{15 + 0}{2} , \: \frac{0 + 1}{2} ) \\ = (7.5, \: 0.5) \\ gradient = \frac{1 - 0}{0 - 15} \\ = - \frac{1}{15} \\ y = mx + c \\ at \: (7.5, \: 0.5) \\ 0.5 = - \frac{1}{15} \times 7.5 + c \\ 0.5 = - 0.5 + c \\ c = 1 \\ \therefore \: y = - \frac{1}{15} x + 1 \\ = > 15y = - x + 15[/tex]

Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a fixed​ distance, the speed R varies inversely with the time T. In one particular pair of​ markings, R 58 is mph when T is 7 seconds. Find the speed of a car that travels the given distance in 9 seconds.

Answers

Answer: [tex]45.11\ mph[/tex]

Step-by-step explanation:

Given

Speed R varies inversely with time T i.e.

[tex]R\propto \dfrac{1}{T}\\\\R=\dfrac{C}{T}\quad [\text{C=constant}][/tex]

when R=58 mph, T=7 s i.e.

[tex]58=\dfrac{C}{7}\quad \ldots(i)[/tex]

when T=9 s

[tex]R=\dfrac{C}{7}\quad \ldots(ii)[/tex]

Divide (i) and (ii)

[tex]\Rightarrow \dfrac{58}{R}=\dfrac{9}{7}\\\\\Rightarrow R=\dfrac{7}{9}\times 58\\\\\Rightarrow R=45.11\ mph[/tex]

I rly need yalls help on #1-3, and 5 pleasee!

Answers

Here is #1. I will see if I can do number 2-3&5

I REALLY NEED TO PASS THIS! PLEASE EXPLAIN UR ANSWER, THANK YOU!

Question 8 options:
A full can of vegetable broth is 17 cm tall and has a radius of 5 cm. Morgan uses some of the broth to make curry and now the broth left in the can is 12 cm high.

Morgan used approximately___ cubic centimeters of broth.

Use 3.14 for pi. Do not round your answer.

Answers

Answer:

Step-by-step explanation:bjgnjfvnifcb

Answer:

392.5cm³

Step-by-step explanation:

height of broth in can used= 17-12

= 5cm

Amt. of broth used= πr²h

= 3.14×5²×5

= 392.5cm³

formula of simple interest​

Answers

Answer:

I = PRT where I is the interest, P is the principal deposited/borrowed, R is the rate as a decimal (take the number & divide by 100), and T is time in years.

Find the number of x-interpects of y=-x^2+4x-12

Answers

Answer:

x = -2 + 2√2 i and -2 - 2√2 i

Step-by-step explanation:

Given the function, y=-x^2+4x-12

x intercept occurs at y =  0

Substitute y = 0

0=-x^2+4x-12

x^2 - 4x + 12 = 0

Factorize

x = -4±√4²-4(12)/2

x = -4±√16-48/2

x = -4±√-32/2

x = -4 ± √32 i/2

x = -4+4√2 i/2 and x =-4-4√2 i/2

x = -2 + 2√2 i and -2 - 2√2 i

In a school of 3200 total students 3/8
are boys &
rest girls, then,
i) Find the number of boys and girls.
ii) Find the percentages of boys and girls​

Answers

Answer:

ii) Find the percentage of boys/girls

Step-by-step explanation:

If im incorrect please comment here ------------》

Which of the following is equivalent to the expression below?
(– 3m + 5) + (m – 11)

A: – 2m – 6
B: 2m – 16
C: 4m – 16
D: – 4m – 6

Answers

Answer:

B

Step-by-step explanation:

Arthur competed in three different races. His time in the first race was 14.48 seconds, his time in the
second race was 26.35 seconds, and his time in the third race was 53.89 seconds. What was Arthur's
total time, in seconds, for all three races?

A: 83.52
B: 84.72
C: 93.52
D: 94.72

Answers

83.52

A

Step-by-step explanation:

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hshshhdh

gshdhdh

gdgshhs

hdhdh

D. 94.72 hope that helps

Find the exact value of csc theta if tan theta = sqrt3 and the terminal side of theta is in Quadrant III.

Answers

Answer:

3rd option

Step-by-step explanation:

Using the identities

cot x = [tex]\frac{1}{tanx}[/tex]

csc² x = 1 + cot² x

Given

tanθ = [tex]\sqrt{3}[/tex] , then cotθ = [tex]\frac{1}{\sqrt{3} }[/tex]

csc²θ = 1 + ([tex]\frac{1}{\sqrt{3} }[/tex] )² = 1 + [tex]\frac{1}{3}[/tex] = [tex]\frac{4}{3}[/tex]

cscθ = ± [tex]\sqrt{\frac{4}{3} }[/tex] = ± [tex]\frac{2}{\sqrt{3} }[/tex]

Since θ is in 3rd quadrant, then cscθ < 0

cscθ = - [tex]\frac{2}{\sqrt{3} }[/tex] × [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex] = - [tex]\frac{2\sqrt{3} }{3}[/tex]

Hari's weekly allowance varies depending on the number of chores he does. He received $24 in allowance the week he did 16 chores, and $18 in allowance the week he did 4 chores. Write an equation for his allowance in slope-intercept form.
i need help!

Answers

Answer:

y = (1/2)x + 16

Step-by-step explanation:

General point/slope form is

y = mx +b (the two points given are (4,18) and (16,24))

slope = rise/run = (24-18)/(16-4) = 6/12 = 1/2

y = (1/2)x + b

pick one point (4,18) and plug in

18 = (1/2)4 + b

18 = 2 + b

b = 16 (he still gets $16 for zero chores)

So

y = (1/2)x + 16

There are 11 teachers and 132 students at a middle
school. What is the ratio of teachers to students?

Answers

Answer:

[tex]\frac{1}{12}[/tex] or 1:12

Step-by-step explanation:

There are 11 teachers : 132 students

Because ratios are just another way of writing fractions, by putting this into a fraction we get:

[tex]\frac{11}{132}[/tex]

Dividing both the numerator and denominator (top and bottom) by 11, we get:

[tex]\frac{1}{12}[/tex]

Thus, the ratio is [tex]\frac{1}{12}[/tex], or 1:12

GEOMETRY/WILL MARK BRAINLIST
GOD BLESS WHAT IS THE ANSWER TO THIS?

Answers

Answer:

Option 1

Step-by-step explanation:

It's asking me to write 20 words so blah blah blah.

If there were 199 million American adults in 1996, how many of them were obese? Round to the nearest million adults.

Answers

Well... based of the information you have given us, it’s not possible to come up with anything other than a guess :( was there a percentage of adults that were obese, out of the 199 million? If so, please let me know in the comments, I’ll try to help then :)

HELP PLS MATH !!!!!!!!!!!!!!

Answers

fraction form : 8/25

decimal form : 0.32

Answer:

8/25 or if you have to do decimal form it's 0.32

Step-by-step explanation:

2. ABCD is a parallelogram. If AD = 3x+15 and BC = 21, find AD

Answers

Answer:

2

Step-by-step explanation:

3x+15=21 (the opposite side of parallelogram is equal)

3x=21-15

3x=6

x=6/3

so x=2

AD=2

When graphing the coordinates (2,1) you would....


A. first move two spaces on the x-axis and then up 1 space on the y-axis


B. first move two spaces up on the y-axis and then 1 space over on the x-axis

Answers

Answer:

The answer is A :)) hehe.

The answer is A, hope this helped

The school cafeteria sells two kinds of wraps: vegetarian and chicken. The vegetarian wrap costs $1.00 and the chicken wrap costs $2.70. Today they made $244.60 from the 146 wraps sold. How many of the wraps sold were vegetarian?

Answers

Answer:

88 Vegetarian Wraps Sold.

Step-by-step explanation:

This is a System of Equations Problem.

Your Two Systems Are:

v(1)+c(2.7)=244.6 and c+v=146

c = chicken wraps and v = vegetarian wraps

Each chicken wrap costs $2.70 (2.7). Put the variable of c next to (2.7) meaning to multiply.

Each vegetarian wrap costs $1 (1). Put the variable of v next to (1)

244.60 (244.6) is the total amount of money made from selling the wraps. This will be the total of the equation.

v(1)+c(2.7)=244.6

Solve 2.7c+v=244.6 for v.

Add -2.7c to both sides.

2.7c+v+−2.7c=244.6+−2.7c

v=−2.7c+244.6

Substitute −2.7c+244.6 for v in c+v=146.

c+v=146

c+−2.7c+244.6=146

Simplify both sides of the equation.

−1.7c+244.6=146

Add -244.6 to both sides.

−1.7c+244.6+−244.6=146+−244.6

−1.7c=−98.6

Divide both sides by -1.7.

[tex]\frac{-1.7c}{-1.7} =\frac{-98.6}{-1.7}[/tex]

c=58

Substitute 58 for c in v=−2.7c+244.6.

v=−2.7c+244.6

v=(−2.7)(58)+244.6

Simplify both sides of the equation.

v=88

Answer:

c=58 and v=88

88 vegetarian wraps were sold.

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