Aaron is 5 years younger than
Roy. Four years later, Roy will be
twice as old as Aaron. Find their
present ages
Answer:
Roy is 6 years old and Aaron is 1 year old.
Step-by-step explanation:
A is Aaron's age,
R is roy's age,
A = R - 5
R + 4 = 2(A+4)
We can distribute first,
R + 4 = 2A + 8
Subtract 4 from each side,
R = 2A + 4
Since A = R - 5, you can substitute in R - 5 for A in the equation,
R = 2(R-5) + 4
Distribute,
R = 2R - 10 + 4
Since - 10 + 4 = -6, we can do this,
R = 2R - 6
Subtract R from both sides,
0 = R - 6
Add 6 to both sides and you have part of your answer;
R = 6
Since A = R - 5,
A = 6 - 5
A = 1, so Aaron's age is 1.
Angles A and B together create a 90° angle. ∠A = 4x −10 and ∠B = 2x − 20. Find the angle measures (what will
Answer:
see below
Step-by-step explanation:
A+ B = 90
4x-10 + 2x-10 = 90
Combine like terms
6x -20 = 90
Add 20 to each side
6x -20+20 = 90+20
6x = 110
Divide by 6
6x/6 = 110/6
x = 55/3
A = 4x-10 = 4(55/3) -10
A=63 1/3
B = 2x-10 = 2(55/3) -10
26 2/3
Brandon wants to buy a shirt that originally costs $P. He recieved a 15% discount on the original cost, so he paid a discounted price of $R. This can be represented by the following equation.
How is the discounted price, $R, related to the original cost, $P?
A.
R is 15% of the original cost.
B.
R is 0.85% of the original cost.
C.
R is 0.15% of the original cost.
D.
R is 85% of the original cost.
Answer:
D
Step-by-step explanation:
Original price minus 15% was the cost so he paid the other 85%
What is 1/7 * -1/2 please help
Answer: If you are asking what (1/7) x -(1/2)
Than the answer is -0.07
Step-by-step explanation:
Answer:
-0.07142857142
Step-by-step explanation:
Approximate the square root to the nearest integer.
37
Answer:
We know that 6² = 36 , which is very close to 37 . Thus square root of 37 will be very close to 6
At an electric store, a heater costs } more than a food mixer.
A blender costs $27. If the total cost of the three items is $139,
what is the cost of the blender as percent of the cost of the
food-mixer?
%
Answer:
19%
Step-by-step explanation:
27/139 is equal to .194 and rounding down gives us .19 or 19%.
1) Uma sala tem o formato de um trapézio, determine a área dessa sala.(a) 10,4 m² (b) 25,6 m² (c) 12,8 m² (d) 15,2 m²
Answer:
A opção correta é;
c) 12,8 m²
Step-by-step explanation:
A área de um trapézio = 1/2 × (distância perpendicular entre os lados paralelos) × (soma dos comprimentos dos lados paralelos)
No diagrama da pergunta, os comprimentos dos lados paralelos são;
3,8 me 2,6 m
A distância perpendicular entre os lados paralelos = 4 m
∴ área do trapézio = 1/2 (3,8 + 2,6) × 4 = 12,8 m²
Portanto, a área da sala = 12,8 m².
The spinner to the right is spun 20 times. It lands on red 6 times, yellow 2 times, green 8 times, and blue 4 times.
Based on the data, what is the experimental probability of landing on yellow?
You may give your answer as a simplified fraction, decimal, or percent.
Answer:
0.1
Step-by-step explanation:
Given: The spinner lands on red 6 times, yellow 2 times, green 8 times, and blue 4 times. when it is spun 20 times.
To find: experimental probability of landing on yellow
Solution:
Probability refers to chances of occurring of some event.
Probability = number of favourable outcomes total number of outcomes
As the spinner lands on yellow 2 times,
number of favourable outcomes = 2
Total number of outcomes = 20
Probability = 2/20 = 1/10 =0.1
During a basketball game, Jeremy scored triple the number of points as Donovan. Kolby scored double the number of points as Donovan. So, if the three boys scored 36 points, how many points did Jeremy score? And how many points did Donovan score?
Answer: Jeremy score 18 points; Donovan score 6 points.
Step-by-step explanation:
Let Jeremy's points be a
Let Donovan's point be b
Let Kolby point be c
Jeremy scored triple the number of points as Donovan. This is:
a = 3b
Kolby scored double the number of points as Donovan. This will be:
c = 2b
The the three boys scored 36 points. This will be:
a + b + c = 36
Since a = 3b and c = 2b
Plug the equations for a and c into the equation. This will be:
a + b + c = 36
3b + b + 2b = 36
6b = 36
b = 36/6
b = 6
Donovan has 6 points
Jeremy will have:
a = 3b
a = 3 × 6
a = 18
Jeremy has 18 points.
Kolby will have:
c = 2b
c = 2 × 6
c = 12
Kolby will have 12 points.
Solve the inequality. Graph the solution. −6n>54 The solution of the inequality is .
Answer:
n =-9
Step-by-step explanation:
-6n>54
Divided by negative 6
n=we change the Sign
n=-9
What type of triangles does the Pythagorean Theorem apply to?
Answer: right angle triangle
Step-by-step explanation:
we only use Pythagorean theorem to find the length of the missing side of a right angle triangle only.
Please help it is multiple choice
Answer:
1/2
Step-by-step explanation:
Using the graph
Order the lines from the steepest slope to the least steel slope
Answer:
The steepest slope is that of the line that is closest to being vertical.Step-by-step explanation:
Hope this helps!!!!Answer:
B, A, C, D
Step-by-step explanation:
rise over run
slope: the ratio of the change in the dependent values (outputs) to the change in the independent values (inputs) between two points on a line
Solve the inequality d/7 > 15. Then graph the solution.
Answer:
yes answer question?
Step-by-step explanation:
Answer:dE (105,infinity)
Step-by-step explanation:
"Find a number which, when added to 3, yields 7"
may be written as:
3 + ? = 7, 3 + n = 7, 3 + x = 1
and so on, where the symbols ?, n, and x represent the number we want to find. We call such shorthand versions of stated problems equations, or symbolic sentences. Equations such as x + 3 = 7 are first-degree equations, since the variable has an exponent of 1. The terms to the left of an equals sign make up the left-hand member of the equation; those to the right make up the right-hand member. Thus, in the equation x + 3 = 7, the left-hand member is x + 3 and the right-hand member is 7.
EQUIVALENT EQUATIONS
Equivalent equations are equations that have identical solutions. Thus,
3x + 3 = x + 13, 3x = x + 10, 2x = 10, and x = 5
are equivalent equations, because 5 is the only solution of each of them. Notice in the equation 3x + 3 = x + 13, the solution 5 is not evident by inspection but in the equation x = 5, the solution 5 is evident by inspection. In solving any equation, we transform a given equation whose solution may not be obvious to an equivalent equation whose solution is easily noted.
The following property, sometimes called the addition-subtraction property, is one way that we can generate equivalent equations.
If the same quantity is added to or subtracted from both members of an equation, the resulting equation is equivalent to the original equation.
In symbols,
a - b, a + c = b + c, and a - c = b - c
are equivalent equations.
Example 1 Write an equation equivalent to
x + 3 = 7
by subtracting 3 from each member.
Solution Subtracting 3 from each member yields
x + 3 - 3 = 7 - 3
or
x = 4
Notice that x + 3 = 7 and x = 4 are equivalent equations since the solution is the same for both, namely 4. The next example shows how we can generate equivalent equations by first simplifying one or both members of an equation.
Example 2 Write an equation equivalent to
4x- 2-3x = 4 + 6
by combining like terms and then by adding 2 to each member.
Combining like terms yields
x - 2 = 10
Adding 2 to each member yields
x-2+2 =10+2
x = 12
To solve an equation, we use the addition-subtraction property to transform a given equation to an equivalent equation of the form x = a, from which we can find the solution by inspection.
Example 3 Solve 2x + 1 = x - 2.
We want to obtain an equivalent equation in which all terms containing x are in one member and all terms not containing x are in the other. If we first add -1 to (or subtract 1 from) each member, we get
2x + 1- 1 = x - 2- 1
2x = x - 3
If we now add -x to (or subtract x from) each member, we get
2x-x = x - 3 - x
x = -3
where the solution -3 is obvious.
The solution of the original equation is the number -3; however, the answer is often displayed in the form of the equation x = -3.
Since each equation obtained in the process is equivalent to the original equation, -3 is also a solution of 2x + 1 = x - 2. In the above example, we can check the solution by substituting - 3 for x in the original equation
2(-3) + 1 = (-3) - 2
-5 = -5
The symmetric property of equality is also helpful in the solution of equations. This property states
If a = b then b = a
This enables us to interchange the members of an equation whenever we please without having to be concerned with any changes of sign. Thus,
If 4 = x + 2 then x + 2 = 4
If x + 3 = 2x - 5 then 2x - 5 = x + 3
If d = rt then rt = d
There may be several different ways to apply the addition property above. Sometimes one method is better than another, and in some cases, the symmetric property of equality is also helpful.
Example 4 Solve 2x = 3x - 9. (1)
Solution If we first add -3x to each member, we get
2x - 3x = 3x - 9 - 3x
-x = -9
where the variable has a negative coefficient. Although we can see by inspection that the solution is 9, because -(9) = -9, we can avoid the negative coefficient by adding -2x and +9 to each member of Equation (1). In this case, we get
2x-2x + 9 = 3x- 9-2x+ 9
9 = x
from which the solution 9 is obvious. If we wish, we can write the last equation as x = 9 by the symmetric property of equality.
A line that includes the points (8,0) and (9,s) has a slope of 9. What is the value of s?
Answer:
s = 9
Step-by-step explanation:
We can find the slope given two points
m = (y2-y1)/(x2-x1)
9 = (s-0)/(9-8)
9 = (s)/1
S = 9
Only do question 4
50 points
Topic: Percentage
Answer:
a 1
b 6
c 15
Step-by-step explanation:
101% 101/100 = 1 1/100
is 1 complete 100 grid and 1/100 of another grid so you will need 2 grids
589% 589/100 = 5 89/100
is 5 complete 100 grids and 89/100 of another grid so you will need 6 grids
1450% 1450/100 = 14 50/100
is 14 complete grids and 50/100 of another grid so you will need 15 grids
The 1st graders at City Elementary were asked whether they like dogs or cats best. The results are shown in the table. Relative Frequency Table by Row What conclusion can you draw about the relative frequency of the results?
A) A girl in this group is most likely to prefer cats.
B) A boy in this group is most likely to prefer cats.
C) A boy in this group is most likely to prefer dogs.
D) There is no association between the variables.
Answer: A girl in this group is most likely to prefer dogs
Answer:
I'm thinking the ANS is letter B
Generally, how long are budgets are created for?
Answer:
In the general scenario, the duration of capital expenditures spans one year, sometimes spannering two or three fiscal years. Companies utilise various approaches to measure their capital expenditures than their normal budgeting processes.
Step-by-step explanation:
The answer is above
Hope this helps.
Answer: One Year
Step-by-step explanation: A budget is a list of probable EXPENSES and expected INCOME during a given period, most often one year.
What value of t is a solution to this equation? 4t=8
t = 2
t = 3
Answer & Step-by-step explanation:
In the problem, we are given two values of t. So, all we have to do is plug in the numbers for t to see which value solves the equation.
t = 2
t = 3
4(2) = 8
4(3) = 12
So, the value of t that solves the equation is t = 2
What happens when the amplitude of the grade of the sine function increases?
(Don’t pay attention to the answer chosen)
Answer:
The increase of amplitude would increase distance between the maximum and minimun point of the wave.Step-by-step explanation:
We can defined the amplitude of a wave as the height of it, because it's the distance from the maxium point to the minimum point. In other words, it's the longest vertical displacement along the wave.
Additionally, amplitude represents power, when we apply waves to real phenomenons like the sound. So, greater grade of amplitude would represent louder sounds.
Therefore, the increase of amplitude would increase distance between the maximum and minimun point of the wave.
a right triangle is shown, m
Answer:
WHAT
Step-by-step explanation:
Answer: 7[tex]\sqrt{2}[/tex]
Step-by-step explanation: Khan Academy
A coordinate grid with 2 lines. The first line is labeled y equals 0.5 x plus 3.5 and passes through (negative 3, 1), (negative 2.7, 2.1), and (0, 3.5). The second line is labeled y equals negative StartFraction 2 over 3 EndFraction x plus StartFraction 1 over 3 EndFraction and passes through the points (negative 4, 3), (negative 2.7, 2.1), and (StartFraction 1 over 3 EndFraction, 0). Which is the approximate solution to the system y = 0.5x + 3.5 and y = −A system of equations. y equals 0.5 x plus 3.5. y equals negative StartFraction 2 over 3 EndFraction x plus StartFraction 1 over 3 EndFraction.x + shown on the graph? (–2.7, 2.1) (–2.1, 2.7) (2.1, 2.7) (2.7, 2.1)
Answer:
2.1 2.7
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
edge test ;)
the difference between 9 fifty-sixes and 3 fifty-sixes.
Javier and Serah are both travelling by train. Javier's train travels 130 km in 75 minutes. Serah's train travels 377 km. It leaves at 9:35 and arrives at 12:50. Work out the difference, in km/h, between the average speed of their trains.
Answer:
The difference between the average speed is 12 kilometers per hour, where Serah's train has the greatest speed.Step-by-step explanation:
Givens
Javier's train travels 130 km in 75 minutes.Serah's train travels 377 km from 9:35 to 12:50.The average speed is defined as
[tex]s=\frac{d}{t}[/tex]
To finde Javier's speed, we need to transform 75 minutes into hours, we know that 1 hour is equivalent to 60 minutes.
[tex]h=75min \times \frac{1hr}{60min} =1.25 \ hr[/tex]
Now, we find the average speed
[tex]s_{Javier}=\frac{130km}{1.25hr}=104 \ km/hr[/tex]
Therefore, Javier's train travels 104 kilometers per hour.
On the other hand, Serah's traing travels from 9:35 to 12:50, which is equivalent to 3 hours and 15 minutes, but 15 minutes is equivalent to 0.25, so the total time is 3.25 hours, so the average speed is
[tex]s_{Serah}=\frac{377km}{3.25hr}= 116 \ km/hr[/tex]
So, the difference would be
[tex]116-104=12 \ km/hr[/tex]
Therefore, the difference between the average speed is 12 kilometers per hour, where Serah's train has the greatest speed.
Answer:
12 km/h
Step-by-step explanation:
Kareem is participating in a 5-day cross-country biking challenge. He biked for 67, 62, 59, and 47 miles on the first four days. How many miles does he need to bike on the last day so that his average (mean) is 60 miles per day? miles
Answer:65miles
Step-by-step explanation:
Let the needed miles be x
(67+62+59+47+x)/5=60
235+x=60×5
235+x=300
x=300-235
x=65miles
Guys I really need help I will make u BRANLIEST!!!
Answer:
h=12 in
Step-by-step explanation:
volume of cube=1/3πr²h
113.04=1/3×3.14×3²×h
h=113.04/(3.14×3)=37.68/3.14=12 in.
Answer:
12 in
Step-by-step explanation:
It's right
which quadrilateral always has four sides of the same length
Answer:
Either a square or a rhombus.
Step-by-step explanation:
A square always has four equal sides with an additional four 90 degree angles.
A rhombus always has four equal sides, but that is it.
Choose your pick on which shape you want to be your answer.
Answer:
a square and a rhombus
Step-by-step explanation:
i have the same question
El caño de una fuente está inclinado 60° sobre la horizontal. Si el agua sale del caño con una velocidad inicial de 10 m/s: a) ¿Qué dibujo forma el chorro de agua? B) ¿Qué altura máxima alcanza el agua? C) ¿A qué distancia del caño hay que colocar el sumidero? D) ¿Cuál es el módulo de la velocidad del agua cuando esta cae al sumidero
Answer:
A) Parabola; B) 3.83 m; C) 8.84 m; D) 10 m/s
Step-by-step explanation:
A) Shape of water jet
The water jet has the shape of a parabola.
B) Maximum height
Data:
θ = 60°
u = 10 m/s
a = 9.8 m·s⁻²
Calculations:
1. Calculate the horizontal and vertical components of the velocity
[tex]u_{\text{h}} = u \cos \theta = \text{10 m/s} \times \cos 60 ^{\circ} = \text{10 m/s} \times 0.5 = \text{5 m/s}\\u_{\text{v}} = u \sin \theta = \text{10 m/s} \times \sin 60 ^{\circ} = \text{10 m/s} \times 0.866 = \text{8.66 m/s}[/tex]
2. Maximum height
[tex]H = \dfrac{(u_{\text{v}})^{2}}{2a} = \dfrac{8.66^{2}}{2\times 9.8} =\textbf{3.83 m}[/tex]
C) Range
1. Calculate the time of flight
Use the vertical component of velocity to calculate the time to the maximum height of the stream.
[tex]u_{\text{v}} = at\\t = \dfrac{ u_{\text{v}}}{a} = \dfrac{\text{8.66 m$\cdot$s}^{-1}}{\text{9.8 m$\cdot$s}^{-2}}= \text{0.884 s}[/tex]
It will take the same time to reach the ground.
Thus,
Time of flight = 2t = 2 × 0.884 s = 1.77 s
2. Calculate the horizontal distance
s = vt = 5 m·s⁻¹ × 1.77 s = 8.84 m
You should place the drain 8.84 m from the pipe.}
D) Modulus of velocity
The stream of water will hit the drain with the same velocity as when it left the pipe.
Thus, the modulus of the velocity is 10 m/s.
The graph below shows the trajectory of the water stream.
Mila reads at a rate of 3 paragraphs per minute.
After reading for 4 minutes, she had read a total of 12 paragraphs.
This situation can be represented with a linear equation written in point-slope form,
where x represents the number of minutes and y represents the number of
paragraphs
Use this information to complete each statement about the linear equation.
CL
The slope of the linear equation is
Answer:
Y=3x because that slope is 3 and if you times it by 4 you get 12
Step-by-step explanation:
what is one fourth + ??????? = 8?
Answer:
1/4 + 31/4 =8
Step-by-step explanation:
break 8 into a fraction as 8/1
to get it to a common denominator multiply it by 4 so you get 32/4 and subtract 1/4 from that.
Answer:
7 3/4
Step-by-step explanation:
Convert 8 from a whole number to a fraction: 8/1
Do the inverse operation 8/1 - 1/4 = 31/4
31/4 = 7 3/4