Help!!! Bo and Erica are yoga instructors. Between the two of them, they teach 46 yoga classes each week. If Erica teaches 14 fewer than twice as many as Bo, how many classes does each instructor teach per week?
A.
22 Bo; 24 Erica
B.
24 Bo; 22 Erica
C.
17 Bo; 29 Erica
D.
20 Bo; 26 Erica
Answer: D
Step-by-step explanation:
2x - 14 + x= 46
3x = 60
x= 20
solve the simultaneous equations y=3x+2 and y=x+6
Answer:
x=2
Step-by-step explanation:
y=3x+2
y=x+6
Since you're stating that, they both equal because equation is equated to equation 2 because of the Y.
Therefore, substitute into both equations as shown:
3x+2=x+6
3x-x=6-2 (bring 2 to the other side by subtracting 2 as well as x)
2x=4
2x/2=4/2 (dividing 2 on both sides to get rid off 2 in 2x)
x=2.
The solution of the given system of equations y=3x+2 and y=x+6 using the substitution method will be x = 2 and y = 8.
What is the equation?More than one variable may be present inside a linear equation.
There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given system of equations,
y=3x+2 and y=x+6
Compare both values,
3x + 2 = x + 6
3x - x = 6 - 2
x = 4/2 = 2
And, y = 2 + 6 = 8
Hence "The solution of the given system of equations y=3x+2 and y=x+6 using the substitution method will be x = 2 and y = 8".
For more about the equation,
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what is a decimal that is equivalent to the fraction 9/100
Answer:
0.09
Step-by-step explanation:
9/100 as a decimal is 0.09.
Answer:
0.09!
Step-by-step explanation:
Convert the fraction to a decimal by dividing the numerator by the denominator.
0.09 is your answer!
Hope this helped.
Signed ~Jaz~
A large quantity of waste material contains metal. At the successive passes through a recovery
process the mass of the metal recovered is:
32kg at the first pass,
24kg at the second pass;
18kg at the third pass;
13,5kg at the fourth pass, and so on, to form a geometric sequence,
1. How much metal would be recovered at the eighth pass?
(Round off the answer to TWO decimal places)
Answer:
The amount of metal recovered at the eight pass is approximately 4.27 kg
Step-by-step explanation:
The mass of metal recovered formed the following geometric sequence;
32 kg, 24 kg, 18 kg, 13.5 kg
∴ The first term, a = 32 kg
The common ratio in the geometric sequence is found as follows;
r = a·r/a = 24 kg/(32 kg) = 0.75
r = a·r²/a·r = 18 kg/(24 kg) = 0.75
r = a·r³/a·r² = 13.5 kg/(18 kg) = 0.75
The mass of the metal recovered in the eight pass will be the 8th term of the geometric series given as follows;
nth term = a·rⁿ⁻¹
a = 32, r = 0.75, n = 8
∴ 8th term = 32·(0.75)⁸⁻¹ = 32·0.75⁷ = 2187/512 ≈ 4.27
The amount of metal recovered at the eight pass ≈ 4.27 kg.
The eight term of the geometric sequence is 4.27.
Geometric sequenceA geometric sequence is in the form:
aₙ = ar⁽ⁿ⁻¹⁾
where aₙ is the nth term, a is the first term and r is the common difference.
Given that a = 32, r = 24/32 = 0.75
The eight term is a₈ = 32(0.75)⁸⁻¹ = 4.27
The eight term of the geometric sequence is 4.27.
Find out more on Geometric sequence at: https://brainly.com/question/9300199
HELP PLEASE!!!!!!!!!!
Volunteers at Sam's school use same of the student council's savings for a special project. They buy 3 backpacks for $6 each and fill each backpack with paper and pens that cost $6. By how much did the students council's savings change because of this project?
y=x^2-10x-7 what is the equation of the axis of symmetry
Answer:
x=5
Step-by-step explanation:
Desmos is a tool to finding your answer to this equation. Its a graphing calculator
Which comparison is not correct?
-7 > -9
-2 < -9
8 > -9
-8 < -4
Answer:
a
Step-by-step explanation:
Independent Practice
Use <, =, > to compare.
|| 19 || || − 19 ||
A.
|19 | = |–19|
B.
|19 | < |–19|
C.
|19 | > |–19|
Answer:
A.
|19 | = |–19|
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
will mark the best awnser :)
Answer:
15 square feet
Step-by-step explanation:
I need help with this please I don't understand my kids work
whoops sorry, no question here
Answer:
oooooooooook????
How do you find an exponential growth model
Answer:
When the line of the graph is going up
Step-by-step explanation:
When the line is going down that means its a exponential decay :)
a boy walks meter in 6 min. how many meter can he walk in 1 hour
Answer:
mama mo blue
Step-by-step explanation:
Answer:
10 meters
Step-by-step explanation:
1hr(60min)
60÷6=10
A customer at a store paid $60 for 2 large candles and 6 small candles. At the same store, a second customer paid $5 more than the first customer for 1 large candle and 4 small candles. The price of each large candle is the same, and the price of each small candle is the same.
Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?
A.
6y = 2x + 60
4y = x + 65
B.
6y = 2x + 60
4y = x + 55
C.
2x + 6y = 60
x + 4y = 65
D.
2x + 6y = 60
x + 4y = 55
Answer:
b
Step-by-step explanation:
Last one for today. Please help
Answer:
D) (-2,0)
Step-by-step explanation:
(-2,0)
(-2-2)²+(y+3)²=25
16+9=25
25=25
HURRY PLEASE I NEED THIS NOW
i need help due asap
Step-by-step explanation
the third one
Step-by-step explanation:
Let's solve for y.
8x−3y>11
Step 1: Add -8x to both sides.
8x−3y+−8x>11 −8x −3y>−8x+11
Step 2: Divide both sides by -3.
−3y/−3 > −8x+11/−3
y<8/3x−11/3
Answer:
y<8/3x−11/3
HELP PLEASE 24 POINTS
How is the graph of g(x) = -x2-2 related to the graph of f(x)= x??
Answer:
Step-by-step explanation:
If [tex]f(x) = x[/tex]. then you would use the x in that equation to plug in for the x in the equation [tex]g(x)=[/tex] [tex]-x^{2} - 2[/tex]
The graph below shows the distance a car can travel, y, using x gallons of gasoline.
Part A
How many miles per gallon does the car get ?
Part B
How many miles can the car travel using 9 gallons of gasoline ?
Answer:
Part A= 25 miles Part B= 225 miles
Step-by-step explanation:
The car uses 2 gallons to travel 50 miles so 1 gallon is equal to 25 miles.
What is the perimeter of a rectangle that has a length of 9 cm and a width of 6 cm?
A. 54 sq. cm
B. 54 cm
C. 30 sq. cm
D. 30 cm
Answer:
D. 30 cm
Step-by-step explanation:
A rectangle has two of the same sides and two of another length so it would be 9+9+6+6, which is 30
Answer:
d) 30 cm
Step-by-step explanation:
P = 2 (l + w)
P = 2 (9 + 6)
P = 2 (15)
P = 30
30 sq. cm woul'd be wrong because that's indicating the area (you don't use sq. when finding perimeter)
The volume of the rectangular pyramid is ___ cubic units.
Answer:
600 cubic units.
Step-by-step explanation:
The formula for a rectangular pyramid is[tex]V=\frac{lwh}{3}[/tex] or volume is equal to length x width x height divided by 3. The length is 15, the width is 10, and the height is 12. This equals to 1800, then we divide it by three for the answer.
Prove that a triangle with coordinates
A(5, 6), B(8,5), and C(2, -3) is a right triangle.
Answer:
Because the side of the triangle forms pythagoras tripple
Line AB = √10
Line BC = 10
Line AC = √90
Step-by-step explanation:
From the question,
In the triangle,
Line AB = √[(8-5)²+(5-6)²]
Line AB = √(3²+-1²)
Line AB = √(9+1)
Line AB = √10
Also,
Line BC = √[(2-8)²+(-3-5)²]
Line BC = √(-6²+(-8)²)
Line BC = √(36+64)
Line BC = √100
Line BC = 10 unit.
Finally,
Line AC = √[(5-2)²+(6+3)²]
Line AC = √(3²+9²)
Line AC = √(9+81)
Line AC = √90.
From the above length of the line in the triangle,
Line AC, Line BC and Line AC are pythagoras triple.
I.e
10² = (√10)²+(√90)²
100 = 10+90
100 = 100.
Note only a a right angle triangle obeys pythagoras theorem.
Help plz, just give me the points on the graph thanksss <33
ANSWER ASAP PLEASE
look at the photo
Step-by-step explanation:
Area of trapezium = 1/2(a+b)h
= 1/2(10+24)12
= 1/2×34×12
= 204 square units
don’t answer if you don’t know
Solve and
graph this
inequality.
-3x>15
Answer:
x > -5
Step-by-step explanation:
-3x > 15
divide by -3
x > -5
Answer: x<-5
Step-by-step explanation:
First, we must isolate x in order to graph the inequality properly. To solve for x, you must divide each side by -3. Because you are dividing by a negative number, you must switch the side around. So, the inequality would be [tex]x<-5[/tex]t.To graph this, you must put a veritcal dotted line (since the equation has a less than symbol) and shade to the left (this shows all the possiblilties of what x could be. Or, if you were to graph it on a number line, put an open circle on -5 and draw an arrow left from the dot. Hope this helps!
PLEASE help quick it is almost due
Answer:
D.
Step-by-step explanation:
Please help!! I don’t understand how to do this problem
Answer:
D.
Step-by-step explanation:
[tex]y = 3x \\ \frac{y}{3} = x \\ \\ \frac{3y}{3} + 2y = 45 \\ y + 2y = 45 \\ 3y = 45 \\ y = \frac{45}{3} \\ y = 15 \\ \\ x = \frac{y}{3} \\ = \frac{15}{3} \\ = 5[/tex]
Two angles are complementary. The larger angle is 3 degrees less than twice the measure of the smaller angle. Find the measure of each angle.
Answer:
First angle would be 31°, second angle would be 59°
Step-by-step explanation:
You can use the equation 90° = a + (2a - 3°), where a is the measure of your smaller angle.
simplify:
90° = 3a - 3°
93° = 3a
31° = a
let your second angle equal (2a - 3°)
(2(31°) - 3°) = 59°