The value of x is equal to 8.
Given the following equation;
[tex]x + y = 12[/tex] .....equation 1
[tex]x = 2y[/tex] .....equation 2
To find the value of x, we would solve the system of equations by using the substitution method to determine the value of y;
Substituting eqn 2 into eqn 1, we have;
[tex]2y + y = 12[/tex]
[tex]3y = 12\\\\y = \frac{12}{3}[/tex]
y = 4
Next, we would solve for the value of x;
From equation 2;
[tex]x = 2y\\\\x = 2(4)[/tex]
x = 8
Therefore, the value of x is equal to 8.
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At a local aquarium there is a large cylinder shaped fish tank. The fish tank has a diameter of 8 feet and a height of h feet. Which equation can be used to find V, the volume of the cylinder of cylinder in cubic feet? 8.6.A *
V = π(8)²h
V = π(4)²h
V = π(4h)²
V = π(8h)²
Answer:
(A) V = π(8)²h
To create a pattern with Legos, Jerry uses 5 green Legos for every 3 blue Legos. If he used 35 green Legos in the pattern, what is the TOTAL amount of Legos he used?
A.43 legos in all
B.8 legos in all
C.56 legos in all
D.21 legos in all
Answer:
56 legos in all
Step-by-step explanation:
35/5=7
7*3=21
21+35=56
Answer:
well i have legos in rl so i think the answer is C. or 56 legos in all
Step-by-step explanation:
The awnser to a multiplication problem
Answer:
where is the problem?
Step-by-step explanation:
where
There are 32 females in a dance recital. This is the ratio men to women 3:8. How many men are at the dance recital????
Answer:
12
Step-by-step explanation:
Answer:
there are 12 men
Step-by-step explanation:
men:3×4=12
woman:8×4=32
Nora is a high school basketball player. How many points would Nora score in a game if she made 4 free throws (worth one point each) and 2 three point shots? How many points would Nora score in a game if she made x free throws and y three point shots?
Answer:
10
Step-by-step explanation:
4(1)+2(3)=10
Nora would score 10 and for x free throws and y three point shots x + 3y.
What is linear Equation?When graphed, a linear equation always produces a straight line because it is an algebraic equation with each term having an exponent of 1. It is referred to as a "linear equation" for this reason.
One-variable linear equations and two-variable linear equations exist.
Given
points on free throws = 1
points on 4 free throws = 4x1 = 4
and points on 2 three point shot = 2x3 = 6
total points are 4 + 6 = 10
and if she made x free throws then points are = 1x
and for y three point shots = 3y
total points for x free and y three point shots
x + 3y
Hence the points are 10 and x + 3y.
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what is 5x+10x-2x+1y
Answer: The answer is 13x+y
Step-by-step explanation:
PLEASE HELP ME I WILL GIVE 25 POINTS PLUS BRAINLIEST URGENT PLEASE HELP!
Eva took a taxi from her house to the airport. The taxi company charged a pick-up fee of $3.20 plus $3 per mile. The total fare was $33.20, not including the tip
Answer: 10 miles
Step-by-step explanation:
You can set this up as an equation where x will represent the number of miles charged. So if we know how much the pick up fee is, how much it is per mile and the total charge we can set up the equation as follows:
3.20 + 3x = 33.20
If we solve for x we will find out how many miles she traveled. So to do so we need to get x on one side and the other numbers on the other side of the equal sign. So to begin we'll subtract 3.20 from both sides:
3x = 30.00
and then divide both sides by 3:
x = 10
So she traveled 10 miles.
The Taxi ride was 10 miles.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We can set an equation where x will represent the number of miles charged. So, the total charge we can set up the equation as follows:
3.20 + 3x = 33.20
If we solve for x we will find out the miles she traveled.
Then subtract 3.20 from both sides:
3x = 30.00
then divide both sides by 3;
x = 10
Therefore, she traveled 10 miles.
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Pls help what do I put for the answer
Lucas borrows $3,500 at 2% for 6 years. How much does he have to repay at the end of the loan total?
Answer:
$3941.57.
Step-by-step explanation:
Given,
Principal,P = $3,500
rate of interest,r = 2%
Time, n = 6 years
Now, the total amount Luca has to repay is:
[tex]A = P(1+\frac{r}{100})^n[/tex]
A is the total amount.
[tex]A = 3500\times (1+\frac{2}{100})^6\\A = $3941.57[/tex]
Hence, the total money he has to repay is $3941.57.
WORTH 60 points
A lab is studying the growth of bacteria population. The growth of the
bacteria population is modeled by P(x) = 2, "3", where x is the time in minutes
since the experiment began.
Part A: According to the given function, what is happening to the bacteria
each minute?
a. The population is tripling each minute.
b. The population is decreasing by a factor of each minute.
c. The population is doubling each minute.
d. The population is decreasing by a factor of each minute.
Part B: if jacks plate contains 486 pieces of bacteria after 5 minutes, what was the population of bacteria when the experiment began?
a.2
b.3
c.4
d.5
Worth lots of points
What is the rule for the following geometric sequence? 64, -32, 16, -8
A: an=32(-1/2)^n-1
B:an=32(2)^n-1
C:an=32(1/2)^n-1
D:an=32(-2)^n-1
The points (-1,r) and (11, -1) lie on a line with slope -3/4
Find the missing coordinate r.
Answer:
8
Step-by-step explanation:
y = (-3/4)x + c
Sub (11,-1) into the equtaion
-1 = (-3/4)(11) + c
c = 29/4
y = (-3/4)x + 29/4
when x = -1,
y = (-3/4)(-1) + 29/4
y = 8
r = 8
A 22.5 cm straw fits diagonally inside an 18 cm high can of soft drink what is the radius of the can
Answer:
6.75cm
Step-by-step explanation:
The straw fits diagonally inside the can so it makes a right angled triangle with height and base of the can ( which is the diameter of the can)
So, hypotenuse = length of straw = 22.5cm
perpendicular = 18cm
base = diameter of can(d)
Using pythagoras theorem
h² = p² + b²
(22.5)² = 18² + d²
506.25 = 324 + d²
d² = 506.25 - 324
d² = 182.25
d = 13.5cm
Now radius = d/2 = 13.5/2 = 6.75cm
HELP ME PLSS BRAINIEST
Jack earned $ 172,874 in 6 months. On an average, about how much did he earn each month?
Answer:
172,872÷6=28,812.33 I believe this is the answer
One of the legs of a right triangle measures 6 cm and its hypotenuse measures 10 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
let base = 6cm
perpendicular =x cm
hypotenuse =10cm
by using Pythagoras law
hypotenuse ²=perpendicular ²+base²
10²=x²+6²
100-36=x²
x=√64=8cm
the measure of the other leg is 8cm
The measure of the other leg of the right triangle is equal to 8 cm.
Let the other leg of the right triangle be the opposite side.Given the following data:
Adjacent = 6 cmHypotenuse = 10 cmTo find the measure of the other leg, we would apply Pythagorean's theorem:
Mathematically, Pythagorean's theorem is given by the formula;
[tex]Hypotenuse^2 = opposite^2 + adjacent^2[/tex]
Substituting the given parameters into the formula, we have;
[tex]10^2 = opposite^2+6^2\\\\100= opposite^2+36\\\\Opposite^2=100-36\\\\Opposite^2=64\\\\Opposite=\sqrt{64}[/tex]
Opposite = 8 cm
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Solve the following equation using the quadratic formula.
2x² + 5x – 42 = 0
Select all solutions that apply.
x = 1.5
x= -4
OX= 3.5
x = -6
Find the area of the figure shown below:
a
34 square units
b
220 square units
c
480 square units
d
960 square units
Answer:
.................hshs
what is the greatest common factor of 12 and 26
Answer:
2
Step-by-step explanation:
The greatest common factor is 2
Answer:
2
Step-by-step explanation:
2 is the greatest number that will go into both 12 and 26.
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Which statements are true about the graph?
Select all that apply.
Nirvany went on a 65,000 m hike. She divided the distance traveled evenly over 5 days. Approximately how many miles did Nirvany walk each day?
Answer:
13000m
Step-by-step explanation:
Given data
Total distance travelled= 65,000
Number of days= 5 days
Hence the distance covered per day is
= 65,000/5
=13000m
Therefore the distance covered per day is 13000m
I need help with this problem please
n must be 0, since x ⁿ = 1 for all positive, real x if n = 0. So the answer is A.
Helpppp pleaseeeee and could you put an explenation??? pleaseeee
Answer:
Step-by-step explanation:
The angles would be supplementary
45 + 5x + 35 = 180
5x + 80 = 180
5x = 100
x = 20
To find out why they are supplementary, refer to the transversal below
∠3 = ∠7 (corresponding angles)
∠8 = 180 - ∠7 (supplementary angles)
And since ∠7 = ∠3...
∠8 = 180 - ∠3 which is why (in the problem) those two angles are supplementary (adding to 180 degrees)
What is the solution of the system?
2x + 5y = 14
2 + 3y = 16
pls help
Answer:
x=-14/3,y=14/3 but if there is x at the second wan.then,x=19/2,y=-1
Which expressions are equivalent to -1/4(16−12+8x)?
Select all that apply.
A. 4+3−2x
B. 2x+1
C. −2x−1
D. x
E. −4+3−2x
F. 2x−
Step-by-step explanation:
Which expressions are equivalent to -1/4(16−12+8x)?
Select all that apply.
A. 4+3−2x
B. 2x+1
C. −2x−1
D. x
E. −4+3−2x
F. 2x−
help plz its worth 100 points
Answer:
Step-by-step explanation:
hi, use y=mx+b to help solve
the equation is y= 6x+30, 6 being the cost per t-shirt and 30 being the fee
substitute x for the values on the left in the table. for example, y=0x+30 would give the total cost of 0 t-shirts 30 dollars
for some reson i cant see it
solve for slope / y intercept and equation please
PLEASE HELP!! URGENT!! Rubi tosses a quarter off the Main Street bridge into the St. John's River. The distance, in feet, the quarter is above the water is modeled by the equation -16t^2+96t+112d ( t ) = − 16 t 2 + 96 t + 112, where t represents time in seconds. How much time does it take for the quarter to hit the water?
Answer:
5
Step-by-step explanation:
An architect is making a plan for a new circular playground. If the playground needs to be surrounded by a fence and the diameter of the playground is 25 meters, how much fencing needs to go up?
Answer:
78.54 m
Step-by-step explanation:
To obtain how much circular fence, we obtain the Circumference of the circular playground.
The Circumference of a circle, C = 2*pi*r
pi = 3.14 ; r = diameter / 2 = 25 /2 = 12.5 m
C = 2 * 3.14 * 12.5
C = 78.539816
Hence, the fencing which need to go up is ;
78.54 m