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
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?
Answer:
5.2
Step-by-step explanation:
Just divide 6.76 and 1.3, which equals 5.2.
what is the area of the given figure in square centimeters? 15 3/4 21 3/8 27 39 3/8
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.
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
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.
Decide if the expressions are equivalent. 2.5x and x+5
Simplify: √54 + √486 + √24
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.
An apple has a mass of 0.25 kg. The apple is 3m high. What is the potential energy of the apple?
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.
Answer:
19 x 11 = 209
4 x 3 = 12
7 x 5 = 35
35 + 12 + 209 = 256
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?
Answer:
$4.29
Explanation:
$11.44 / 8 = $1.43
$1.43 x 3 = $4.29
100(x-3) = 1,000
What’s the value of x?
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
Boba all the way, it is delicious and I can't live without it
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?
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:
Plsss i need help boys and girls lol FRL :)
Find an equation of the line with a slope of −7 that passes through the point (−3,12).
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= -7Substitute 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
Solve for X
A) 13
B) 5
C) 14
D) 1
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:
what is 6/7 of2/3? pls help
\
Answer:
4/7
Step-by-step explanation:
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
Answer:
y=5x-3
Step-by-step explanation:
slope is 5, plug in (1,2) for x and y to find b
Calculate the curved surface area of a cylindrical container 10cm diameter, length 18cm take the value of pie to 3.14
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
The radius of a circle is 7 cm . Find its circumference in terms of pi?
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.
Help plz is 1-8 right??!!!
Answer:
yes
Step-by-step explanation:
since its more than 90 dgree
Answer:
mhm!! ur right < 3
Step-by-step explanation:
WILL GIVE BRAINLIEST, NO LINKS
Find the area of the polygon.
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 the area of the circle. Use 3.14 for fi *
Diameter: 24 cm
Area:
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!
What is the gradient of the graph shown?
Give your answer in its simplest form.
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.
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?
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.
HELP PLZZ WHAT IS THE ANSWER DON't SEND A FILE PLZ explain step by step I NEED THE ANSWERS TO BOTH QUESTIONS
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)
Please help !!!!!!!!!
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
What is 20 pounds per 5 gallons written as a unit rate? Explain how you got your answer.
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^check the point at (11,2) is a solution of the system shown below.
(ignore the question on the bottom)
Answer: I think the answer is the bottom " the solution
only work on the bottom equation"
Step-by-step explanation:
What would be the perimeter??
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
How do I find angle Y
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
Answer:
-15
Step-by-step explanation:
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