Answer:
p=-2
Step-by-step explanation:
1.Combine like terms on both sides.
2.Subtract 6 y 6y 6y on both sides to keep the variable y to the left side only.
3.Add 11 to both sides of the equation.
4.Finally, divide both sides by −10 to get the solution.
Can you simply these fractions?
4/20 = 1/5
9/24 = 3/8
18/30 = 3/5
9/12 = 3/4
9/21 = 3/7
5/45 = 1/9
20/25 = 4/5
10/12 = 5/6
6/9 = 2/3
4/40 = 1/10
Explanation:
Find the greatest common factor then divide the numerator and denominator by the greatest common factor
Hope This Helps :)
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047
was collected on the sale of 1,291 tickets. How many of each type of ticket were sold?
The basketball game sold
adult tickets and
student tickets.
Answer:
The basketball game sold 439 adult tickets and 858 student tickets.
Step-by-step explanation:
A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.
Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied. That is, in the systems of equations, one must look for the values of the unknowns, with which when replacing, they must give the solution proposed in both equations.
Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $3,047 was collected on the sale of 1,291 tickets.
With "x" the number of adult tickets sold and "y" the number of student tickets sold, you have the following system of equations:
[tex]\left \{ {{x+y=1291} \atop {5*x+1*y=3047}} \right.[/tex]
Through the substitution method, you must solve for one of the unknowns in one of the equations and substitute its value in the following one: in this case you solve for the variable y from the first equation:
y=1291 -x
and you replace in the second equation:
5*x + 1291 - x= 3047
Solving, you get:
5*x-x= 3047 - 1291
4*x= 1756
x= 1756÷4
x=439
Replacing this value in the expresion y=1291 -x you get:
y=1291 -439
y= 858
The basketball game sold 439 adult tickets and 858 student tickets.
If the legs of a right triangle are x, (2x - 1) and its hypotenuse is (2x + 1), what is the value of x?
Answer:
x=8
Step-by-step explanation:
(2x + 1)² = x² + (2x - 1)² = x² + (2x - 1)(2x - 1)
(2x + 1)(2x + 1) = x² + 4x²-2x-2x+1
4x²+2x+2x+1 = 5x²-4x+1
4x²+4x+1 = 5x²-4x+1
0= 5x²-4x²-4x-4x+1-1
0= x²-8x
x²-8x=0
x²=8x
x=8
Use the GCF (Greatest common factor) to factor the expression 3.02
+ 8x
Answer:
hi
Step-by-step explanation:
HELP FOLKS PLEASE ( i don't have much time)
Answer:
tan(Y) = 7/4
tan(Z) = 4/7
Step-by-step explanation:
Tangent ratios are the TOA of SOHCAHTOA.
tan( angle ) = opposite / adjacent
g(1)=0
g(n)=g(n-1)+n
g(2)=????
If g(1) = 0 and g(n) = g(n-1) + n, then g(2) = 2
The given relationship is:
g(1) = 0
g(n) = g(n-1) + n
g(2) = ?
Since g(1) is already known
g(2) = g(1) + 2
Note that g(1) = 0
Substitute g(1) = 0 into g(2) = g(1) + 2
g(2) = 0 + 2
g(2) = 2
Therefore, if g(1) = 0 and g(n) = g(n-1) + n, then g(2) = 2
Learn more on sequence here: https://brainly.com/question/6561461
If 9x + 10=y what is y??
Answer:
above beat me to it he is right
Tom has a 4-sided spinner and the table below shows the probabilities
that when the spinner is spun it will land on 1, 3 and on 4
Number
1
2
3
4
Probability
0.1
0.2
0.4
The spinner is spun once.
a) What is the probability that the spinner will land on 2?
Il
(1)
b) Which number is the spinner least likely to land on?
(1)
c) If Tom spins the spinner 80 times, work out an
estimate for the number of times the spinner will land on 3
(2)
Answer:
0.3
Step-by-step explanation:
it's the only one not there
if we vibe for 3 hrs and become freinds how long will we be freinds?
Answer:
it depends
Step-by-step explanation:
I could be very committed,
im 15 in july my name is mercedes. and im bi, I skate and taken
For a theater play, the school sold 120 blue tickets for students and 80 red tickets for adults. What percent of the tickets were sold to students?
Answer:
Step-by-step explanation:
120+80=200 the total number of tickets
120(student tickets) ÷ 200 (total tickets)= .6 =60%
Answer:
bin
Step-by-step explanation:
bghgghhshshsbabbsnajswjjegvrjrjrhrbrhrriritt
5x6+7493+89-81+7783=
-x+5+4x
simply the expression
Answer:
3x+5
Step-by-step explanation:
Please help me please
Answer:
B
Step-by-step explanation:
Hello!! I have a question, can you please answer it. ^^
The school nurse is assembling first-aid kits for the teachers. She has 75 bandages and 90 throat lozenges.
All the kits must have the same number of each supply, and all supplies must be used.
a. What is the largest number of kits the nurse can make?
b. How many bandages and lozenges will be in each kit?
Answer:
1. 75
2. 1
Step-by-step explanation:
In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of ∠K, to the nearest 10th of a degree.
Given:
In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.
To find:
The value of ∠K to the nearest 10th of a degree.
Solution:
According to the Law of Sine:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
We have, In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.
Using the Law of Sine, we get
[tex]\dfrac{j}{\sin J}=\dfrac{k}{\sin K}[/tex]
[tex]\dfrac{3.8}{\sin (63^\circ)}=\dfrac{4.1}{\sin K}[/tex]
[tex]3.8\sin K=4.1\sin (63^\circ)[/tex]
[tex]\sin K=\dfrac{4.1\sin (63^\circ)}{3.8}[/tex]
[tex]\sin K=0.961349[/tex]
[tex]K=\sin^{-1}(0.961349)[/tex]
[tex]K=74.0182[/tex]
[tex]K\approx 74.0[/tex]
Therefore, the measure of angle K is 74.0 degrees.
Can some one please help me
Answer:
8:1
Step-by-step explanation:
Don reads 8 pages a minute. Therefore the amount of pages he could read is 8 and the amount of time it takes is a minute
x + 3 = 15
Solve the equation and check for the solution
Answer:
x=12
Step-by-step explanation:
move the 3 to the other side to get x by itself.
check: 12 + 3 = 15
Answer:
(Not sure)
x = 12
Step-by-step explanation:
x + 3 = 15
CLT
X = 15-3
× = 12
A construction crew is building a two story house, but they have not built the staircase between the floor yet. The height of the staircase is 12 feet, the base of the stairs will be 6 feet from the wall. How long does the temporary ramp need to be to the nearest tenth of a foot?
Answer:
13.4feet
Step-by-step explanation:
The set up forms a right triangle.
Given
Height of the staircase h = 12 feet
Base of the stairs b = 6feet
Required
Length of the ramp l
Using the pythagoras theorem
l² = h² + b²
l² = 12²+6²
l² = 144 + 36
l² = 180
l = √180
l = 13.42 feet
Hence the length of the ramp to the nearest tenth is 13.4feet
QRST is a parallelogram. Find x, y, and z.
Answer:
x=5.4
y= 9
z= 11
Step-by-step explanation:
5x= 27
x= 5.4
2y-5=y+4
y=9
3z = 33
z =11
help please i need you
Answer:-10hy-4h
Step-by-step explanation:
h*-10y and h*-4
Carlos and Lily want to know the combined amount of money they made last week. They both made $12 per hour, but Carlos also made a $35 bonus. Carlos says the combined amount is 12C + 35 + 120 where Cis the number of hours he worked, and L is the number of hours Lily worked. Lily says the combined amount is 12(C+ L) + 35. Who is right? Explain.
Answer:
Lily is rightStep-by-step explanation:
Carlos made:
12C + 35Lily made:
12LTogether they made:
12C + 35 + 12L = 12(C + L) + 35Lily is right. We don't know what 120 means in Carlos's equation, he should put 12L for Lily.
Jeremy received a Bill with a balance due of 25.60
Answer:
6.40$
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLEIST
I need help with this
Work out the value of 54
18 − 6
5418-6= 5412
Hope this helps
Two students were shopping for school supplies. They need spirals which cost x dollars and pens which cost y dollars. One student bought 2 spirals and 3 pens for $8.66. Another student bought 4 spirals and 5 pens for $15.20. Find the unit cost of a spiral.
Answer:
x=1.15
y=2.12
Step-by-step explanation:
look at the picture ..........
yo does anyone know how to solve this
(-7, 0)
i promise im right
How is the formula to find the slope between any two points the same as rise/run?
Answer:
because as long as it's the same number, the equation is still the same as long as you have the same numbers and you're using the same subtraction/addition properly
Step-by-step explanation:
8 m (cubic meters) = dm3 (cubic decimeters)
Answer: 8000 dm³
Step-by-step explanation:
1 m³= 1000 dm³
----------------------------------------------------
Given
8 m³= dm³
Solve
8 m³ × 1000 dm³/m³=8000 dm³
Hope this helps!! :)
Please let me know if you have any questions
The markings on the number line are evenly spaced. Label the other markings on the number line.
Answer:
A= -75
B= -60
C= -45
D= -15
E= 15
F=30
Step-by-step explanation:
Each point is 15 away, so you just add or subtract 15 based off of if it's a negative or positive number on the number line.
Hope this helped!
The value of a car decreases by 5% each year. Sophie bought a car two years ago for £10000. Work out the value now.
Given:
The value of car before two years = £10000
The value of the car decreases by 5% each year.
To find:
The present value of the car.
Solution:
The exponential decay model for present value is
[tex]y=a\left(1-\dfrac{r}{100}\right)^t[/tex]
Where, a is the initial value, r is the rate of decay and t is time in years.
Putting P=10000, r=5 and t 2, we get
[tex]y=10000\left(1-\dfrac{5}{100}\right)^2[/tex]
[tex]y=10000\left(1-0.05\right)^2[/tex]
[tex]y=10000\left(0.95\right)^2[/tex]
On further simplification, we get
[tex]y=10000(0.95)(0.95)[/tex]
[tex]y=9025[/tex]
Therefore, the present value of the car is £9025.