To find Ron's age, we set up equations based on their age relations and the total sum of their ages. After solving the system of equations, we determine that Ron is 15 years old.
The question deals with a basic age-related algebra problem. To solve for how old Ron is, we can set up a system of equations based on the information provided:
Let R represent Ron's age.
Let S represent Sam's age.
Let T represent Ted's age.
From the information:
Ron is half as old as Sam, so R = 1/2 * S
Sam is three times as old as Ted, so S = 3 * T
The sum of their ages is 55, so R + S + T = 55
Substituting the expressions for R and S in terms of T into the third equation gives:
1/2 * (3 * T) + 3 * T + T = 55
Simplifying and solving for T, we find that:
1.5T + 3T + T = 55
5.5T = 55
T = 10
Now we can find Sam's age:
S = 3 * 10 = 30
And Ron's age:
R = 1/2 * 30 = 15
Therefore, Ron is 15 years old.
how many miles can you get on one tank of gas if your tank holds 18 gallons and you get 22 miles per gallon
can someone please help me?
How do you subtract: a negative number minus a positive number?
True or false. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.
A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.
Explanation:A trapezoid is a quadrilateral with one pair of parallel sides. It has two diagonals that connect opposite vertices. The diagonals of a trapezoid are not necessarily congruent because they have different lengths. However, one set of opposite sides of a trapezoid will always have equal slopes.
To see this, we can consider the equation of a line and the formula for slope. Let's say we have a trapezoid with vertices A, B, C, and D. The equation of the line passing through points A and B can be written as y = mx + b, where m is the slope of the line and b is the y-intercept. Similarly, the equation of the line passing through points C and D can be written as y = nx + c. Since the opposite sides of the trapezoid are parallel, the slopes m and n will be equal.
Therefore, the statement is true. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.
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Debbie needs to fill juice cups for her little brother's birthday party. There are 20 juice cups and each juice cup holds 10 fluid ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Debbie need to purchase?
(1 quart = 32 fluid ounces, 1 gallon = 4 quarts)
1 bottle
2 bottles
3 bottles
4 bottles
1 gallon = 4 qts
1 qt = 32 fl. ounces
so 32 x 4 = 128 fl. ounce in a gallon
20 cups at 10 ounces each = 20*10 = 200 ounces needed
200/128 = 1.5625 gallons needed
she will need to buy 2 bottles
Identify the property shown.
5 + 2 = 2 + 5
24 x 1 = 24
13 + 0 = 13
Find x if y=-2 4x-6/y=15 A.9/2 B. 5 C.3 D.-6/23
Given that a is the longest side length in the triangle, which of the following inequalities would make the triangle above an obtuse triangle?
A. a2+b2< c2 B. a2+b2>c2 C. b2+c2< a2 D. b2+c2>c2
Answer:
it is abtuse triangle
Step-by-step explanation:
no step
Find the area of a rectangle
Two equations are given below: m + 5n = 20 m = n − 4 What is the solution to the set of equations in the form (m, n)? (3, 7) (0, 4) (5, 1) (2, 6)
Answer:
(m,n) = (0,4)
Step-by-step explanation:
We have
m + 5n = 20 -----------------------eqn 1
m = n - 4 ----------------------------eqn 2
eqn 1 - eqn 2
m + 5n - m = 20 - ( n- 4 )
6n = 24
n = 4
Substituting in eqn 2
m = 4 - 4
m = 0
So the correct set is (0,4)
(m,n) = (0,4)
Which section of the function is constant? A graph is shown. Segment A is a horizontal line beginning at the y-axis. Segment B moves upward. Segment C is a horizontal line. Segment D moves downward.
Answer:
Answer: B
Step-by-step explanation:
In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane. If two corners of the trail are at point A(−2, 7) and point D(−10, −1), what is another point that could represent a corner of the trail?
(10, 7)
(14, 7)
(12, 7)
(8, 7)
From the coordinate plane, we can see that the enlarged point A refers to point F, and enlarged point D refers to point I. To solve for this problem, we know that the ratios of each side should be similar (both the original and enlarged). Since the given choices have all y values equal to 7, so we have to look for the enlarged point of point G. Let us call that point as point C.
In this case, we take the ratio of side IF and side FG. First solving for length using distance formula:
IF^2 = (2 – 4)^2 + (-4 - -2)^2
IF^2 = 8
IF = sqrt 8
FG^2 = (7 – 4)^2 + (-2 - -2)^2
FG^2 = 9
FG = 3
Therefore the ratio of IF/FG must be equal to the ratio of DA / AC:
IF / FG = DA / AC
Find DA first:
DA^2 = (-10 - -2)^2 + (-1 -7)^2
DA^2 = 128
DA = sqrt 128
So,
sqrt 8 / 3 = sqrt 128 / AC
AC = 12
Finding for point C: y of point C = 7
AC^2 = (x - -2)^2 + (7 – 7)^2
12^2 = (x + 2)^2
x + 2 = 12
x = 10
Answer:
(10, 7)
Alejandro has two marbles. One weighs 0.56 grams, and the other weighs 0.825 grams. How much more does the second marble weigh?
0.265 grams
0.355 grams
0.769 grams
1.385 grams
Suppose you have a normally distributed set of data pertaining to a standardized test. The mean
score is 500 and the standard deviation is 100. What is the z-score of 800 point score?
A carton of juice shaped like a rectangular prism measures approximately 8 inches high and 4 inches along each edge. A cylindrical glass that is 3 inches in diameter is filled to a height of 3.5 inches. Approximately how many glasses of this juice can be poured from a full container? Use π π = 3.14.
great jobbb. very helpful i meant 5 stars lol my b
Jeremy drew a polygon with four right angles and four sides with the same length. Name all the polygons that he could have drawn.
Jeremy drew a square, which is a regular polygon with four equal sides and four right angles.
If Jeremy drew a polygon with four right angles and four sides of the same length, he could have drawn a square. This is because a square is the only regular polygon with four sides (also known as a quadrilateral) that has all sides equal in length and all angles equal at 90 degrees. In a quadrilateral, the sum of all interior angles is 360 degrees, which satisfies the criteria of having four right angles, as each right angle measures 90 degrees. The shape Jeremy drew cannot be any other polygon since the definition of a square is specific to having all sides equal and all angles equal, which uniquely identifies it among four-sided polygons.
The pair of numbers whose difference is 18 and whose product is as small as possible is? The minimum product is?
A paint store has 35 gallons of paint in storage, 2/5 of which are for outdoor use. The others are for indoor use. If each gallon costs$22, what is the total cost of the indoor paint in storage?
You downloaded a video game to your computer. You have a 60 minute free trial of the game. It takes 5 minutes to set up the game and 7 minutes to play each level. You want to find out how many levels you can play for free.
What is 1000mm=. m
What is 65mm=. m
What is4.92m=. m
What is 3mm=. m
if x + y = 8 find the value of y when x = -1
Nine cards numbered 1-9 are flipped upside down. What is the probability of flipping up an even number?
WILLL GIVEEEEE BRAINLIEST PLZ HELPPPPPPPP!!!!!!!!
29 out of 74 do not like rap
29/74 = 0.39
31 out of 74 do not like hip hop
31/74 = 0.42
0.39+0.42 = 0.81
answer is 0.81
Which statement best describes the expression 3 + 2 ÷ y?
The quotient of y and the sum of 3 and 2
The quotient of the sum of 3 and 2 and y
The sum of 3 and the quotient of 2 and y
The sum of 3 and the quotient of y and 2
best answer will get BRAINLIEST!!!!!
Answer:
C. The sum of 3 and the quotient of 2 and y
Step-by-step explanation:
Given : 3 + 2 ÷ y
Solution:
First consider the BODMAS rule
solving any equation we need follow this sequence (BODMAS)
B - Bracket
O - Of
D- Division
M- Multiplication
A - Addition
S - Subtraction
So, in the given equation we first consider the division after that the addition
i.e. division of 2 by y (quotient of 2 and y) and then addition of 3 in the result of division of 2 by y
So, we can say it as The sum of 3 and the quotient of 2 and y
Answer:
The answer is just c
Step-by-step explanation:
Verbal reasoning : Choose the most appropriate option to complete the statement . 'AC is to VJ as RO is to (??)'
The vertices J(2,6), K(7,8), L(9,3), and M(?, ?) determine a square. Show your work to find the coordinates of M. Use complete sentences and proper grammar to give a justification why JKLM is a square.
You walk east 720 feet to get from your house to class. After class, you walk southwest 1,044 feet to meet your friends for lunch. When walking the 756 feet back home from lunch, what direction are you traveling?
do the opposite angles in a parallelogram have the same measure please explain why
Opposite angles in a parallelogram are equal. This is due to the property of parallel lines being crossed by a transversal line, which causes the corresponding angles to be equal.
Explanation:Yes, the opposite angles in a parallelogram always have the same measure. This happens because when lines are parallel and they get crossed by another line (called the transversal), the corresponding angles in the different parallel lines are equal.
In a parallelogram, the opposite sides are parallel. If you draw a diagonal inside the parallelogram, it acts as a transversal line crossing the parallel lines. Therefore, the angles it forms at the corners are equal to each other, meaning the opposite angles have the same measure.
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Simplify 5 • 2 • (–4) + 6 ÷ 2
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 -12
0 -6
1 0
g(x)
g(x) = 2x + 6
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)