Mark is six years older than his brother Sam. The sum of their ages is 30. Let 'a' be Sam's age.

Answers

Answer 1

Answer:

a = 12 years

Step-by-step explanation:

Mark is 6 years older than his brother Sam. Now, we are asked to represent Sam’s age by a. This means that if Sam is a years old, Mark is (a + 6) years old.

The sum of their ages is 30, this means that when we add their ages together, we get the sum of thirty.

Mathematically this means a + a + 6 = 30

2a + 6 = 30

This is the equation needed to get a. To get a , we proceed to solve the equation to completion.

2a = 30 - 6

2a = 24

a = 24/2

a = 12


Related Questions

what is 6/7 of2/3? pls help
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Answers

Answer:

4/7

Step-by-step explanation:

6/7 ÷ 2/3 = 6/7 * 3/2 = 18/14 --->1 4/14 ---> 1 2/7

An apple has a mass of 0.25 kg. The apple is 3m high. What is the potential energy of the apple?

Answers

Answer:

Potential energy= mass x gravity x height

0.25x9.8x3=7.35 N

hope that answers your question

Step-by-step explanation:

What is the area of this figure? Write your answer using decimals, if necessary.

Answers

Answer:

19 x 11 = 209

4 x 3 = 12

7 x 5 = 35

35 + 12 + 209 = 256

PLEASE HELP THIS IS MY EXAM! Point M is the midpoint of overline PQ. The coordinates of point M are (2, 4) . The coordinates of point Q are (12, 10) . What are the coordinates of point P?

Answers

Answer:The coordinates of point P are -8, -4.

Step-by-step explanation:

Answer:

The coordinate of P is -8, -4

Step-by-step explanation:

Find the area of the circle. Use 3.14 for fi *
Diameter: 24 cm
Area:

Answers

Circle Area = pi × ( radius )^2

_________________________________

pi = 3.14

..&..

radius = diameter / 2 = 24 / 2 = 12

Thus :

Area = 3.14 × ( 12 )^2

Area = 3.14 × 144

Area = 452.16 cm^2

Answer:

Hey Love! Answer: 452.16

Step-by-step explanation:

When trying to determine area of a circle remember the formula is just pi multiplied by the radius squared

Thats just a fancy way of saying the radius x the radius x pi but REMEMBER since we dont have the radius in this problem we have to figure it out but remember that the radius is only half the diameter so our diameter is 24cm now lets divide that by 2 and we get 12cm now lets multiply that by itself so radius x radius which our radius is 12 so 12 x 12 = 144 now all we have to do is multiply that by pi so

3.14 × 144 = 452.16

HOPE THIS HELPS!

A scary man dressed as a tomato stops you on the street and demands that you do the problem: 6.76 / 1.3 What is your answer to 6.76 / 1.3?

Answers

Answer:

5.2

Step-by-step explanation:

Just divide 6.76 and 1.3, which equals 5.2.

Decide if the expressions are equivalent. 2.5x and x+5

Answers

if you want to see if they are equivalent just substitute any number such as 2, so 2.5(2) = 5 and 2 + 5 = 7, so they are not equivalent (THIS IS TRUE UNLESS YOU DIDNT PUT THE X VALUE IN THE QUESTION)

check the point at (11,2) is a solution of the system shown below.

(ignore the question on the bottom)

Answers

Answer: I think the answer is the bottom " the solution

only work on the bottom equation"

Step-by-step explanation:

The graph shows the daily sales goal of
a coffee shop. If the employees sell
20 cups of coffee, how many cups of tea
must they sell to meet their goal?

Answers

Answer:

25 cups of tea

Step-by-step explanation:

On the x-axis, we have the number of cups of coffee plotted against the number of cups of tea which are plotted on the y-axis to represent the daily sales goals.

From the graph, when 20 cups of coffee are sold (x = 20), a corresponding sales of 25 cups of tea (y = 25) would be sold as well to meet the sales goal.

Therefore, when employees sell 20 cups of coffee, 25 cups of tea must be sold to meet their goal.

Fund the equation of the line that passes through the points (1,2) and (3,12).

Give your answer in the form
y=mx+c

Some use y=mx+b

Answers

Answer:

y=5x-3

Step-by-step explanation:

slope is 5, plug in (1,2) for x and y to find b

How do I find angle Y

Answers

See photo hope it helps

What is 20 pounds per 5 gallons written as a unit rate? Explain how you got your answer.

Answers

Answer:

20/5=4/1= 4 pounds per gallon.

Step-by-step explanation:

I got that answer by dividing 20/5 and you will get 4. Then you will divide 4/1 because unit rates your supposed to have a denominator of 1. And your answer should be  4 pounds per gallon.

^Hope this helps have a good day, Hazel^

Mason wants to buy 3 cans of cat
food for his cats. The store sells 8
cans for $11.44. What is the cost
of 3 cans of cat food?

Answers

Answer:

$4.29

Explanation:

$11.44 / 8 = $1.43

$1.43 x 3 = $4.29

Help plz is 1-8 right??!!!

Answers

Answer:

yes

Step-by-step explanation:

since its more than 90 dgree

Answer:

mhm!! ur right < 3

Step-by-step explanation:

Las longitudes de dos lados de un octágono regular están representadas por las expresiones 2x + 4 y 3x-8. Encuentra la longitud de un lado del octágono

Answers

Answer:

La longitud del lado del octágono es de 28 unidades.

Step-by-step explanation:

Si las longitudes de los dos lados pertenecen a un octágono regular, entonces se satisface la siguiente condición:

[tex]2\cdot x + 4 = 3\cdot x - 8[/tex] (1)

A continuación, despejamos [tex]x[/tex] en (1):

[tex]3\cdot x - 2\cdot x = 4 + 8[/tex]

[tex]x = 12[/tex]

Ahora, determinamos la longitud del lado del octágono: ([tex]x = 12[/tex])

[tex]l = 2\cdot x + 4[/tex]

[tex]l = 28[/tex]

La longitud del lado del octágono es de 28 unidades.

Calculate the curved surface area of a cylindrical container 10cm diameter, length 18cm take the value of pie to 3.14

Answers

Answer:

56.52 cm^2

Step-by-step explanation:

curved surface area = 2πrh

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

10 / 2 = 5

2 x 3.14 x5 x 18 = 56.52 cm^2

WILL GIVE BRAINLIEST, NO LINKS

Find the area of the polygon.

Answers

Answer:

166.3

Step-by-step explanation:

line that shows 8, shows that each of six sides is 8

so that's 48

to get the "apothem"

it means get a side of the triangle where the hypotenuse is 8 and the base is 4 (half of 8)

so that is square root of 48 which is like 6.928

then plug into the formula

1/2 x 6.928 x 48 which is like 166.27

Find an equation of the line with a slope of −7 that passes through the point (−3,12).

Answers

Answer:

[tex]\boxed {\boxed {\sf y=-7x-9}}[/tex]

Step-by-step explanation:

Since we are given a point and the slope, we should use the point-slope  formula.

[tex]y-y_1=m(x-x_1)[/tex]

where (x₁, y₁) is the point the line passes through and m is the slope.

We know the line passes through the point (-3, 12) and the slope is -7. Therefore,

x₁= -3 y₁= 12 m= -7

Substitute the values into the formula.

[tex]y-12=-7(x--3)[/tex]

Remember that 2 back to back negative signs become a positive.

[tex]y-12=-7(x+3)[/tex]

Now we have to put the equation in slope-intercept form, or y=mx+b. Therefore, we need to isolate the variable y on one side of the equation.

First, distribute the -7. Multiply each term inside the parentheses by -7.

[tex]y-12=(-7*x)+ (-7*3) \\y-12= (-7x)+(-21) \\y-12= -7x-21[/tex]

12 is being subtracted from y. The inverse operation of subtraction is addition. Add 12 to both sides of the equation.

[tex]y-12+12=-7x-21+12\\y= -7x-21+12\\y=-7x-9[/tex]

The equation of the line is y=-7x-9

Please help !!!!!!!!!​

Answers

Answer: (4,-4)

Step-by-step explanation:

(4,-4) because you have to go to the very top of the point ans the point equals (4,-4) sorry im not very good at explaining

(4,-4) because it is where the vertex meets the graphed line

Simplify: √54 + √486 + √24

Answers

Answer:

14√6.

Step-by-step explanation:

√54 = √9√6 = 3√6

√486 = √81 √6 = 9√6.

√24 = √4√6 = 2√6.

So √54 + √486 + √24

= 3√6 + 9√6 + 2√6

= 14√6.

The table shown below represents a function. Which of the following values could not be used to complete the table?
x
у
-10
-25
-5
5
10
15
20
-20
0-15
0-5

Answers

Answer:

-15

Step-by-step explanation:

100 precent hshssjjdjddjdjdjdjdjdj

what is the area of the given figure in square centimeters? 15 3/4 21 3/8 27 39 3/8

Answers

Answer: 21.375 cm2

Step-by-step explanation:

Area of rectangle  = length x width = 3.5 x 4.4 = 15.75 cm2

Area of triangle = 1/2 x base x height = 1/2 x 2.5 x 4.5 = 5.625 cm2

Add rectangle and triangle area = 21.375 cm2

Answer:

21 /3/8 cm^2.

Step-by-step explanation:

Area = area of rectangle + area of the triangle

= 3 1/2 * 4 1/2 + 1/2 * 4 1/2 * 2 1/2

=  7/2 * 9/2 + 1/2 * 9/2 * 5/2

= 63/4 + 45/8

=  126/8 + 45/8

=  171/8

= 21 /3/8 cm^2.

The radius of a circle is 7 cm . Find its circumference in terms of pi?

Answers

Question:-

The radius of a circle is 7 cm. Find its circumference in terms of π.

Solution:-

Radius (r) of a circle = 7 cm. (Given)

We know,

[tex] \dag [/tex] Circumference of a circle is 2πr.

So, its circumference is 2 × π × 7

Its circumference is 14π cm.

Its circumference in terms of π is 14π cm. [Answer]

Answer:

Radius (r) of a circle = 7 cm. (Given)

We know,

Circumference of a circle is 2πr.

So, its circumference is 2 × π × 7

Its circumference is 14π cm.

Its circumference in terms of π is 14π cm.

What would be the perimeter??

Answers

Answer:

19.2

Step-by-step explanation:

4.8 x-4 = 19.2 meters

Answer:

19.2

Step-by-step explanation:

4.8 x 4

100(x-3) = 1,000

What’s the value of x?

Answers

Answer:

x=13

Step-by-step explanation:

100(x-3)=1000,  divide both sides by 100

100/100(x-3)=1000/100

x-3=10, add three to both sides

x-3+3=10+3

x=13

an energy drink company claims that it’s produced inscreases students memory levels. to support its claims, the company issues advertisements claiming that 8 out of 10 people (chosen randomly from across the country) who tried their product reported improved memory. the missing component in this study is a

Answers

Boba all the way, it is delicious and I can't live without it

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answers

Answer:

The gradient is m=1/3

Step-by-step explanation:

The gradient, known as the slope, is the rate of change, defined as the change in y divided by the change in x. In this case, we will select two points from the line and calculate the slope from there. I selected (0,3) and (3,4) to demonstrate:

Slope=m=(y2-y1)/(x2-x1)=(4-3)/(3-0)=1/3

Therefore, the gradient/slope is 1/3.

Plsss i need help boys and girls lol FRL :)

Answers

seems to be D would be correct

Solve for X
A) 13
B) 5
C) 14
D) 1

Answers

Answer:

B) 5

Circle is 360 degr. So (21x+9) +(23x-5) +(26x+6)=360

Combine like terms 70x+10=360

Additive inverse -10 from both sides, 70x= 350

Divide both side by 70 division Property of Equality x=5.

Check your answer by substituting 5 back into original solution!

Step-by-step explanation:

HELP PLZZ WHAT IS THE ANSWER DON't SEND A FILE PLZ explain step by step I NEED THE ANSWERS TO BOTH QUESTIONS

Answers

Answer:

1= 2,3

2= 6,-2

Step-by-step explanation:

sup real human here,

d starts at 1,3

we move it to the right one to fill x+1 so it would be 2,3

We move it down 6 to fill y-6 so it would not be 2,-3

for 2, it is being moved down 5 and over 5

we see this because the original point is 4,-2 and the new position is -1,3 which would be down 5 over 5 from the original

this would make 1,3 become 6,-2

Answer:

1. plug the point (1, 3) into the expressions: (x+1, y-6)

(1+1, 3-6) = (2, -3)

2. make an expression for the points based on B and B':

B: (4, -2)

B': (-1, 3)

(x-5, y+5) because 4 - 5 = -1, and -2 + 5 = 3

plug in A (1,3):

(1 - 5, 3 + 5) = (-4, 8)

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