Kevin and monica lead visitor tours at a museum. Last month, both kevin and monica led the same number of vistors. Kevin lead 150 adults, plus 6 student groups. Monica led 134 adults, plus 8 student groups. If each student group had the same number of students, which equation could be used to determine the number of students in each group?
Answer:
Number of students in each group = 8
Step-by-step explanation:
kevin and monica led the same number of vistors.
Let x = number of students in each group
Kevin lead 150 adults, plus 6 student groups.
150 + 6x
Monica led 134 adults, plus 8 student groups.
134 + 8x
Equate both equations
150 + 6x = 134 + 8x
Collect like terms
150 - 134 = 8x - 6x
16 = 2x
Divide both sides by 2
x = 16 / 2
= 8
x = 8
Number of students in each group = 8
Rhombus ABCD with vertices A(2, 6), B(6, 7),
C(5, 3), and D(1, 2): 180°
Answer:
Step-by-step explanation:
Rule for the rotation of a point 180° about the origin is,
(x, y) → (-x, -y)
Therefore, images of the points after the rotation of 180° will be,
A(2, 6) → A'(-2, -6)
B(6, 7) → B'(-6, -7)
C(5, 3) → C'(-5, -3)
D(1, 2) → D'(-1, -2)
Now we can plot these points on the graph as attached.
HELP ME, PLEASE.
find x:
[tex](x-1)\sqrt{x^{2}-2x+4 }+(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex]
Answer:
x=2
Step-by-step explanation:
Step-by-step explanation:
x=2to understand thisyou need to know about:equationgiven:[tex](x-1)\sqrt{x^{2}-2x+4 } +(x-3)\sqrt{x^{2}-6x+12 }+2x-4=0 \atop [/tex]
to solve:xlet's solve:[tex] \sf rewrite \: (x - 1) \sqrt{ {x }^{2} - 2x + 4} \: as \: (x - 2)( \sqrt{ {x}^{2} - 2x + 4 } ) + (x + 1) ( \sqrt{ {x}^{2} - 2x + 4}) : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)( \sqrt{ {x}^{2} - 2x + 4)} + (x-3)\sqrt{x^{2}-6x+12 }+2x-4=0[/tex][tex] \sf rewrite (x - 3) \sqrt{ {x}^{2} - 6x + 12 } \: as \: (x - 2) \sqrt{ {x}^{2} - 6x + 12} - : \\ (x-2)\sqrt{x^{2}-2x+4 } +(x + 1)\sqrt{ {x}^{2} - 2x + 4} + (x-2)\sqrt{x^{2}-6x+12 } + (x - 1) \sqrt{ {x}^{2} - 6x + 12} +2x-4=0[/tex]
[tex](x - 2) \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} = 0[/tex][tex] \sf \: divide \: both \: sides \: by \: \{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} + \frac{4}{\sqrt{ {x}^{2} - 2x + 4 } + \sqrt{ {x}^{2} - 6x + 12} } + 2 \} : \\ x - 2 = 0[/tex][tex] \therefore \: x = 2[/tex]
Please select the word from the list that best fits the definition
comes from a specific place
Point-source pollution, I took the test.
Answer:
Point-source pollution
Step-by-step explanation:
2( y+2) = 6x-7
please help
Answer:
2y + 4 = 6x - 7
2y = 6x - 11
2y + 6x = -11
Answer:
2y+4=6x-7
take 4 from both sides
2y=6x-3
divide each side by 2
y=6x-3
A chef earns $27 per year. She is paid every 2 weeks.
These are 26 pay periods per week?
How much does the chef
earns pay period.
Round to the neared cent
Answer:
1
Step-by-step explanation:
27 divided by 26.
HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION!!!
Answer:
19.04
Step-by-step explanation:
convert 170% into decimal form number:
1.7
Then multiply by 11.2:
1.7 × 11.2 = 19.04
Pls consider marking my answer as Brainliest! It would mean a lot!
0.0000123 written in standard form is__
Answer:
1.23 × [tex]10^{-5}[/tex]
Step-by-step explanation:
A number expressed in standard form has the form
a × [tex]10^{n}[/tex]
where 1 ≤ a < 10 and n is an integer
Express the number given as a number between 1 and 10, that ia
1.23 × [tex]10^{n}[/tex]
We require to obtain the original number by moving the decimal point by moving the decimal point back 5 places to the left.
Move to the right then n > 0
Move to the left then n < 0
Thus
0.0000123 = 1.23 × [tex]10^{-5}[/tex]
The equation P=$3.90+$0.10x represents the hourly pay(P) a worker receives for loading x number of boxes onto a truck. What is the slope of the line represented by the given equation?
Answer:
The slope of the line is 0.1.
20 POINTS!!!! Help please
Answer:its c
Step-by-step explanation:
The area of a rectangular painting is 5734cm^2
If the length of the painting is 94cm , what is its width?
Answer: 61cm
Step-by-step explanation:
So to work out this question you do 5734÷94 which would work out the with which is 61
61×94=5734
The cost that a carpet cleaning company charges is directly proportional to the number of rooms cleaned. The cost is $32 for each room. (a) How many rooms can a hotel pay the company to clean for $500? Write and solve an equation.
Answer:
15 rooms.
Step-by-step explanation:
32x=500
x=15.625
Rounding down (since you can't get a fraction of a room), you get 15 rooms.
NEED HELP ASAP!
p:Memorial Day is in July q:Parallel lines never
intersect
Which represents the symbolic notation of the compound statement below?
“Memorial Day is in July or parallel lines intersect.”
Answer:
Option (C)
Step-by-step explanation:
Two statements given in the question are,
p: Memorial Day is in July
q: Parallel lines never intersect
We have to tell the represent the symbolic notation of the compound statement,
"Memorial Day is in July or parallel lines intersect"
Here word 'Or' is combining these statements.
We know word 'Or' means Disjunction which is denoted by the symbol (∨).
So the compound statement will be denoted by p ∨ q.
Option (C) will be the answer.
Use the rule y = 3x + 1 to fill in the missing entries in the input-output tables.
Answer:
y=4, y =16, x=10, x=15
Step-by-step explanation:
Plug the x values in the x place and then solve from there and for y values plug em in and easy answer
What is 2+2? I think the answer is 6 :)
Answer: wut yea i think it's six too.
The answer is 4 because look at this: ♥ ♥
That's 2 hearts
If you add 2 more:
♥ ♥ ♥ ♥
1 2 3 4 --> 4 hearts!
♥ ♥ + ♥ ♥ = ♥ ♥ ♥ ♥
So, 2 + 2 = 4.
Ok :
Can you explain pls
Answer:
d
Step-by-step explanation:
If you're solving for a, you'll want to isolate it on one side of the equals sign. When doing this, you have to add q to the left side so it equals zero; and whatever you do to the right, you do the left so (3/4a=k+q). After this, you want to use the same logic to get rid of of the 3/4 on the left side. Since the opposite of 3/4 is 4/3, multiply (3/4)x(4/3) instead of (3/4)/(3/4) to make it easier. Since you did that to the left side, you should do it to the right (a=4/3(k+q)). Sorry for my bad handwriting.
what is the area of a semicircle with a diameter of 12.5 ft
radius = 12.5/2 = 6.25 feet
area = [tex]\frac{1}{2} \pi r^{2} = \frac{1}{2}\pi (39.0625) = 19.5312\pi[/tex] square feet
HELP PLEASE THIS IS DUE IN FIVE MINUTES
Answer: 0, 50
Step-by-step explanation: (h=0), 0=2t+100
2t=100
t=50
hopefully this helps
how do I do slope? i know nothing about it and i need to learn it.
Answer:
slope is easy it is rise over run.
Step-by-step explanation:
rise/run
rise means up
run means move sideways.
Answer: what do you mean by slope?
Step-by-step explanation:
the game that you have to control a ball and you have power-ups and you have to stay on platforms and you have to avoid the red rectangles?
The perimeter of a rectangle is 70cm. If the length of the rectangle is 5cm more than its breadth, find the dimensions of the rectangle.
Plsss help I put 15 points
Hope it helps man .....
Solve for x.
3y = x + 8
What is 7 + 6x for x = -3?
Answer:
-11
Step-by-step explanation:
Answer:
the answer is -11
Step-by-step explanation:
putting the value of x in the equation:-
7+6(-3)
7+(-18)
7-18
-11
What Is The Slope Of the Line
Answer:
2/2.5 or 3/4 I pretty sure that's right
Remember the Great Toilet Paper Shortage of 2020? Most stores have
finally restocked. Charmin makes a pack of TP with 2^4 rolls in it. Each roll
has 2^10 individual sheets. Wegman's has a shelf with 2^6 packages on it.
How many sheets are there on that shelf? Final answer must be left in
exponential form. Show the process but not the calculations - unless you
want to but sometimes less is more
Answer:
2^16 or 65,536
Step-by-step explanation:
First, you'll find the answers to 2^6 and 2^10
2^6=64 while 2^10=1024, then you multiply 1024 by 64 which gives you 65,536.
**or, the easier way is to just add the two exponents together since you see that the bases are the same.
The total budget for a landscaping project was $349.02, and the project called for 42 plants. What is the average cost per plant? Explain the method used for solving the problem.
Answer:
$8.31
Step-by-step explanation:
you have your budget of $349.02 that's for 42 trees you are deciding tour budget by 42 giving you $8.31 per tree.
What is the name of the lake located at letter B on the map above? Answer is C :)
Answer:
the answer is C. lake Texoma
hope this helps
A truck traveling East at a velocity of 40.0 m/s comes to a complete stop. How much time it will take for the truck to stop if it decelerates at -5.0 m/s2
How did you find each square root?
Answer:
......
Step-by-step explanation:
join on zoom meeting now I'd 4989249097 and password MsS8pt join now for fun only girls
sashi weaves 25 baskets in 35 days how many days will it take for her to weave 110 baskets pls tell with steps
Answer:
Step-by-step explanation:
If Sashi weaves 25 baskets in 35 days, let's find out how long it takes her to weave 1 basket.
25 baskets = 35 days
To find how long one basket takes, divide 35 by 25
1 basket = 35/25 = 1.4 days
Next to find how many days it takes for her to weave 110, you just multiply by 110 since we know it takes her 1.4 days to weave 1 basket.
110 baskets = 1.4 times 110 = 154 days.
Four years ago the average age of A,B and C was 25 years. Five years ago the average age of B and C was 20 years. A's present age is
Four years ago average age of A , B & C was 25 years.
Find:A's present age
Solution:Let the ages of A , B , C be A , B , C years.
Age of A before 4 years = (A - 4) years. Age of B before 4 years = (B - 4) years. Age of C before 4 years = (C - 4) years.We know that,
Average = Sum of observations/Number of observations.
Here,
Sum of observations = A - 4 + B - 4 + C - 4 = (A + B + C - 12) years.
Number of observations = 3.
So, (A + B + C - 12)/3 = 25
⟹ A + B + C - 12 = 3 * 25
⟹ A + B + C = 75 + 12
⟹ A + B + C = 87 -- equation (1)
Also given that,
Average age of B & C before 5 years was 20 years.
⟹ (B - 5 + C - 5)/2 = 20
⟹ B + C - 10 = 2 * 20
⟹ B + C = 40 + 10
⟹ B + C = 50 -- equation (2)
Subtract equation (2) from equation (1).
⟹ A + B + C - (B + C) = 87 - 50
⟹ A + B + C - B - C = 37
⟹ A = 37 years
∴ A's present age is 37 years.
I hope it will help you.
Regards.
Answer:
→ md - 2nd + 3md = 2 * [ a + (n - 1)d ]
→ 4md - 2nd = 2 * [ a + (n - 1)d ]
→ 2(2md - nd) = 2 * (a + nd - d)
→ 2md - nd - a + d = nd
→ 2md - nd - (md - 2nd) + d = nd
[ From equation (1) ]
→ 2md - nd - md + 2nd + d = nd
→ md + nd + d = nd
→ (m + n + 1)d = n * d
→ (m + n + 1) = n
Step-by-step explanation: