Answer:
a = 32
b= 27
c = 9
Step-by-step explanation:
a= 5+ b from the second equation
c= b/3 from the third equation
substitute the above equations to the first equation then solve for b your answer will be 27
substitute the value of b in the second equation you will solve for a
perform the same substitution to the third equation you will get the answer for c
Step-by-step explanation:
a-b=5<=>a=5+b (1)
b:c=3<=>b=3c (2)
a+b+c=68<=>5+b+3c+c=68<=>5+3c+3c+c=68
<=>7c=63<=>c=9
Fill in (2), we have b=3c=3.9=27
and in (1), we have a=5+b=5+27=32
So, a=32, b=27, c=9
On a coordinate plane, a line goes through points (1, negative 1) and (2, 4). This graph displays a linear function. What is the rate of change? Rate of change =
Answer:
5
just took the test
Answer:
Step-by-step explanation:
its 5
in Lisa’s school, 53% of students take a bus to school, 38% go the bus riders were late one snowy morning. 25% of students who don’t take a bus to school were not late that morning. What percent of students who do not take the bus was late that morning?
Answer:
I got 53% but I'm not sure
Step-by-step explanation:
if 53% of students take the bus, then 47% of students DON'T.
25% (the percent of non-riding students who were late) of 47 is about 53%
What is the value of x?
Answer:
Solution given:
sin 47=opposite/hypotenuse
Sin 47=x/18
x=sin47*18
x=13.16ft
Answer:
ammaamakamamMN8181(18736
Step-by-step explanation:
88271(1(1+1+382(2(#!#
Determine the value for x in the picture below.
Answer:
x=9
Step-by-step explanation:
Similar triangles
8/20 = 6/(x+6)
==> 2/5 = 6/(x+6)
2/5x+12/5=6
2/5x=18/5
x=9
I don’t understand this equation. m= -3 and b = 3
can you please put the equation so i can answer it?
thank you!
What is the area of the rectangle above
A.48 square cm
B.28 square cm
C.14 square cm
D. 24 square cm
Answer:
24
Step-by-step explanation:
Area = width * length
Given width = 2cm
Given length = 12cm
Area = 2 * 12 = 24
a ball is shot out of a homemade air cannon. It flies through the air such that its height, as a function of time, is given by: h= -16t^2 + 64t + 10. where h is the height of the ball in feet and t is the time since it was fired in seconds. Max estimates that it takes 4 seconds for the ball to hit the ground and Cole estimates it takes 5 second. Algebraically determine who is closer and support your answer.
Answer:
Max
Step-by-step explanation:
the function given that h = -16t³+64t+10
the general function Equation:
h = at²+bt+c
=> t at the highest point is defined by t = -b/2a
= -64/2(-16) = -64/-32 = 2 second
the total times that the ball hits the ground
= 2× 2 seconds = 4 seconds.
so, Max is right
Answer:
Solution given:
Let h=0=when the ball hit the ground,the height=0.
h= -16t^2 + 64t + 10.
0=16t²-64t-10
8t²-32t-5=0
∆=[tex] \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}[/tex]
taking positive
t1=[tex] \frac{8+\sqrt{74}}{4}=4.15seconds[/tex]
t2=[tex] \frac{8-\sqrt{74}}{4}(t2<O)(neglected)[/tex]
So
t=4.15seconds closer to 4seconds.So
Max is closer.
what is 2/3 of 4 hours and 30 minutes?
The points (4,1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x? A. X = -3 B. X = 3 C. X = 9 D. X = 11
Answer:
Step-by-step explanation:
Use the slope formula here along with the fact that the slope is equal to 1:
[tex]1=\frac{-6-1}{x-4}[/tex] and
[tex]1=\frac{-7}{x-4}[/tex] and cross multiply to get x - 4 = -7 so
x = -3
Find the missing side. Round to the nearest tenth.
A.7.1
B.5.1
C.5.1
D.6.1
Answer:
5,1
Step-by-step explanation:
x= tan27⁰ x 10 ≈ 5,1
.....
Answer:
b or c or 5.1
Step-by-step explanation:
The basic trig identity that does not involve the hypotenuse is the Tan(theta).
Tan(theta) = opposite / adjacent. That definition applies only to a right triangle. It has to be modified if the triangle is some other kind.
The opposite side is the one not making up the reference angle (x in this case).
The adjacent side is the one making up the angle that is not the hypotenuse.
opposite side = x
adjacent side = 10
theta = 27 degrees.
Tan(theta) = opposite / adjacent
Tan(27) = x / 10
Tan(27) = 0.5095
0.5095 = x / 10 Multiply by 10
10*0.5095 = x
x = 5.095
It rounds to 5.1
No one except the answer key can know whether to choose b or c.
How much growth or decay is 50(1.05)^t<100
Answer:
5% growth.
Step-by-step explanation:
1.05 = 1 + 0.05 = 1 + 5%
It is 5% growth.
What is the common ratio for the sequence 5.-10. 20.-40. ?
-2
-1/2
1/2
2
Answer:
-1/5
Step-by-step explanation:
i think thsts correct answer if not the answer is 1/2
18.
Which of the following are the coordinates of the vertex of y= x2 - 10x + 2?
A. (–5, 23)
B. (–10, 2)
C. (5, –23)
D. (2, –10)
Hi there!
»»————- ★ ————-««
I believe your answer is:
C. (5, –23)
»»————- ★ ————-««
Here’s why:
I have graphed the given equation on a program. The vertex can be described as the 'turning point' of the parabola. When graphed, the parabola shows a vertex at (5, -23).See the graph below.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
During a school event, Noah is selling pizza at the food stand for $1.25 per slice. How many slices of pizza would Noah need to sell to earn $120? Explain your reasoning.
Answer:
96
Step-by-step explanation:
120/1.25=96
Noah needs to sell 96 slices of pizza to earn $120.
Write an equation for a line that is perpendicular to the line 6y – 9x = 12
Answer:
y = -2/3x + 4
Step-by-step explanation:
first we take the original equation and convert it to y=mx+b (a form we know how to graph)
that gives us y = 3/2x + 2
(Here's my work for that):
6y - 9x = 12; add 9x on both sides
6y = 9x + 12; divide 6 on both sides
y = 9/6x + 12/6
y = 3/2x + 2
next to make a line *perpendicular* to this, we make the slope negative and swap the fraction (-2/3)
then we just uh graph that slope and try to find the y intercept. i did it already and i got 4
Answer:
Step-by-step explanation:
You need one more piece of information to get a specific line. I'll get the general one and then we'll see what comes of it.
Add 9x to both sides.
6y - 9x + 9x = 9x + 12
6y = 9x + 12 Divide by 6
6y/6 = 9x/6 + 12/6
y = 1.5x + 2
Now the perpendicular line must have a slope that is found by using
m1 * m2 = - 1
m1 = 1.5 From the equation above.
1.5 * m2 = - 1 Divide by 1.5
m2 = -1/1.5
m2 = - 2/3
So far what you have is
y = -2/3 x + b You need a value for b. Usually that is found with a point. But I will just call b = 1 since there is nothing else to do
The complete equation becomes
y = -2/3 x + 1
The graph is enclosed.
A basketball team wants to paint half of free-throw circle grey. If the circumference of the free-throw is 30.77, what is the area that will be painted grey. Use 3.14 or pie.
Answer:
3.14
Step-by-step explanation:
Because you know it's the right answer.
If triangle ABC is similar to triangle PQR, which equation is true?
AB/PO = 1
AB = PO
AB/PO = BC/QR
AB /PO = QR/BC
Answer:
AB/ PQ = BC/QR
Step-by-step explanation:
In similar triangles, ratio of corresponding sides are equal.
So, [tex]\frac{AB}{PQ}= \frac{BC}{QR}=\frac{AC}{PR}[/tex]
David gasta el 20% de su salario en el pago de los servicios básicos de su casa del resto gasta el 50% en alimentación si al final se queda con 2000 Córdoba cuanto gana David
Answer:
Gana 6666,67 Córdoba de los cuales
gasta 3333,33 en alimentos y 1333,33 en servicios.
Step-by-step explanation:
Se queda 2000 Córdoba
Gasta el 20% de su salario para pagar los servicios básicos de su casa.
Gasta el 50% de su salario en comida.
Suponga que gana x cantidad
luego
x = 0,2x + 0,5x + 2000
x = 0,7x + 2000
x-0,7x = 2000
0,3 veces = 2000
x = 2000 / 0,3
x = 6666,67
Gana 6666,67 Córdoba de los cuales
gasta 3333,33 en alimentos y 1333,33 en servicios.
He keeps 2000 Córdoba
He spends 20% of his salary to pay for the basic services of his hous.
He spends 50% of his salary to pay on food.
Suppose he earns x amount
then
x= 0.2x+0.5x+2000
x= 0.7x+2000
x-0.7x=2000
0.3x= 2000
x= 2000/0.3
x= 6666.67
English
He earns 6666.67 Córdoba out of which
he spends 3333.33 on food and 1333.33 on services .
If the pentagon below is to be reflected over the line y=x, what are the new coordinates of the vertices?
Answer:
K' (-2, -2)
L' (3, -2)
G' (4,0)
H' (3,2)
J' (-2, 2)
Step-by-step explanation:
list all the coordinates of the image, and apply the y=x rule of reflection. The line y=x states that the previous y is now in the x and vice versa.
K(-2, -2)
L(-2, 3)
G(0,4)
H(2,3)
J(2, -2)
plss Pa answer po!!!!!!!!!!!!!
Equation 1: 12-x=5 (Answer is 7)
Equation 2: 60-x=25 (Answer is 35)
Answer:
ronalyn has 7 oranges
7 + 5 = 12
aurthur has Php 35.00
25.00 + 35.00 = 60.00
hope it helps u..
The sixth graders at Kingston Middle School voted for their favorite sport. The results are in the circle graph below. Favorite sports 3/20 Football 1/2 Basketball 1/2 Golf Baseball 1/10 If the 180 students in sixth grade get to choose a sport to play for a special reward, how many of these students will choose basketball?
Answer:
90 Students.
Step-by-step explanation:
1/2 (Half) of 180 is 90.
Answer:
90 students will choose basketball
Step-by-step explanation:
half (1/2) choose basketball and half of 180 is 90
find the points on the y-axis, each of which is at a distance of 13 units from the point (-5,7)
Answer:
The answer is (0,19) or (0,-5).
By distance formula,
after squaring on both sides we and solving we get,
so, y=19 or -5
Step-by-step explanation:
you get the idea, but i don't think this is the answer yet?
Given: line a ∥ line b. If m∠7 = 63° , then m∠4 = __ ? __.
Answer:
<1
Step-by-step explanation:
How do you know what method (SSS, SAS, ASA, AAS) to use when proving triangle congruence?
Provide the definitions of these congruency methods.
Answer:
it depends on the size and angles that are given
SSS means side side side
SAS means side angle side
ASA means angle side angle
AAS means angle angle side
The ratio of coloured paper the white paper is 3:8 if there are 48 white paper how many coloured paper are there
Answer:
18
Step-by-step explanation:
Calculation to determine how many coloured paper are there
Let 3x represent the number of coloured papers
Let 8x represent the number of white papers
Given that 8x=48
Hence,
x=48/8
x=6
Now let determine how many coloured paper are there
Coloured paper=3x
Coloured paper=3(6)
Coloured paper=18
Thereffore the number of coloured paper that are there is 18
What is the value of x in the solution to the system of equations shown???
-7
1.6
2.4
4
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
7x + y = 14
-2x - y = 6
Step 2: Solve for x
Elimination
Combine 2 equations: 5x = 20[Division Property of Equality] Divide 5 on both sides: x = 4se cumple que: A^2 + B = 486 y el M.C.D. de A y B es 9. ¿Cuál es el valor de B
Answer:
i dont know spanish
Step-by-step explanation:
Find sin
A. 3/5
B.4/5
C.1
D.5/4
Answer:
Sin < A is 4 / 5
Step-by-step explanation:
sin = Opposite side / Hypotenuse side
sin = 8 / 10
sin = 4 / 5
Explain how rays AB and AC form both a line and an angle.
Answer:
Angles are rays with a shared endpoint.
Lines extend forever in either direction.
Rays AB and AC extend forever in either direction.
Step-by-step explanation:
Answer:
An angle is defined as two rays with a common endpoint, so CAB (or BAC) is an angle. A line is described as an infinite set of points that extend forever in either direction, which these rays also do.
Step-by-step explanation:
Using the graph, determine the value of the slope.
v
CO 3
What is the slope?
4
2
What is true about the graph?
4
-2
-2
Intro
Done
Answer:
gradient of horizontal slope is 0
