A motel clerk counts his $10 bills and $20 bills at the end of the day. He finds that he has a total of 150 bills, and that those 150 bills have a total value of $2,000. How many $10 bills and $20 bills does the motel clerk have?
Translate the problem into 2 equations.
Let the x be the number of $10 bills and y be the number of $20 bills.
Answer:
100 $10 bills and
50 $20 bills
Step-by-step explanation:
Given
[tex]x = \$10[/tex]
[tex]y = \$20[/tex]
[tex]Bills = 150[/tex]
[tex]Value = \$2000[/tex]
Required
Determine the number of $10 and $20 bills
[tex]Bills = 150[/tex].
This implies that:
[tex]x + y = 150[/tex]
[tex]Value = \$2000[/tex]
This implies that:
[tex]10x + 20y = 2000[/tex]
So, the equations are:
[tex]x + y = 150[/tex]
[tex]10x + 20y = 2000[/tex]
Make x the subject in the first equation
[tex]x = 150 -y[/tex]
Substitute 150 - y for x in the second
[tex]10(150 - y) + 20y= 2000[/tex]
[tex]1500 - 10y + 20y= 2000[/tex]
[tex]1500 + 10y = 2000[/tex]
[tex]10y = 2000-1500[/tex]
[tex]10y = 500[/tex]
[tex]y =50[/tex]
Recall that:
[tex]x = 150 -y[/tex]
[tex]x = 150 -50[/tex]
[tex]x = 100[/tex]
Find a solution to the linear equation 13x+y=26
Answer:
y = -13x+26
Step-by-step explanation:
13x+y=26
y= -13x+26
Ken, the camp cook, makes 3 meals for every camper. The
equation y 3x shows the number of meals he makes,
which depends on the number of campers.
Select the graph with the correctly labeled axes for this situation.
Answer: number of meals on the left side then number of campers on the bottom
Step-by-step explanation:
A p e x and it says 3 meals for every camper it never said how long so it’s not going to be so the graphs with day in it next you can’t put campers on the side cause if you don’t have enough meals for everyone you ant goin keep the campers happy so that’s how I got my answer sorry if that was confusing brainless please
Answer:is D
Step-by-step explanation:
20.7 liters of water came out of a faucet today. If 1.5 liters of water come out each minute, how many minutes was the faucet on?
Answer:
13 min 8 sec
Step-by-step explanation:
Answer:
13 hours 15 mins
Step-by-step explanation:
20.7/1.5= 13.8
Let U = {2, 3, 4, 5, 6, 7, 8}, A = {2, 3, 4, 5}, B = {2, 3, 6, 7}, and C = {4, 6, 8}. List all the members of the given set. (Enter your answers as a comma-separated list.) (A ∪ B) ∩ C
Answer:
(2,3,4,5,6,7)
6
Step-by-step explanation:
I thought I'm wrong ...
There are (3^5)^2 . 30 leaves on a tree. What is the total number of leaves on the tree? (5 points)
Answer:
The awnser is 3^10
Step-by-step explanation:
5. 16^0 = * please i need help and i need the answer today not trying to rush but please thanx
Answer: 1
Step-by-step explanation:
16⁰ = 1
Anything to the power of zero is 1.
Write an equation in standard form of the circle with the given properties.
Center at the origin; r square root 6
Answer:
x² + y² = 6
Step-by-step explanation:
The standard form of the equation of a circle centred at the origin is
x² + y² = r² ( r is the radius )
Here r = [tex]\sqrt{6}[/tex] , then
x² + y² = ([tex]\sqrt{6}[/tex] )² , that is
x² + y² = 6
The equation for line g can be written as y = 2/9x + 10.
Line h, which is parrellel to line g, includes the point (-3, -1) what is the equation
Answer:
y=2/9x-1/3
Step-by-step explanation:
since line h is parallel to line g, this means that line h has the same slope as line g.
line h's slope would be 2/9.
to find the y-intercept, plug (-3, -1) into the equation y=2/9x+b. -3 will represent x and -1 will represent y:
y=2/9x+b
-1=2/9(-3)+b
Then, solve for b:
-1=2/9(-3)+b
-1=-6/9+b
b=-1/3
so, the equation for line g is: y=2/9x-1/3
What is the value of y? y = Find the following angle measures. mAngleJKM = ° mAngleMKL = °
And are we all struggling in geometry and super stressed out and behind or is it just me
Answer:
What is the value of y?
y = ✔ 10
mAngleJKM = ✔ 106°
mAngleMKL = ✔ 74°
Step-by-step explanation:
Answer:
1: 10 2: 106 3: 74
Step-by-step explanation:
Find the area of the following figure:
[tex]2688[/tex]
Step-by-step explanation:1) Simplify 2 × 8 to 16.
[tex]16 \times 12 \times 14[/tex]
2) Simplify 12 × 16 to 192.
[tex]192 \times 14[/tex]
3) Simplify.
[tex]2688[/tex]
So, therefor, the answer is, 2688.
Write and equivalent expression for the following expression: ab
Answer:
ab = a(b)
Step-by-step explanation:
cuz u can just add parentheses
1. The velocity of a car as it travels over a level crossing is modeled by v = t2 – 4t + 12
for 0 < t < 4 where t is the time in seconds after it reaches the crossing. When does the car reach its minimum speed? What is the minimum speed?
Show your work or strategy:
When does the car reach its minimum speed? _________________
What is the minimum speed? _________________________
Answer:
At t=2s the car reach its minimum speed
Minimum speed=8m/s
Step-by-step explanation:
We are given that velocity of car
[tex]v(t)=t^2-4t+12[/tex]
0<t<4
Differentiate w.r.t t
[tex]v'(t)=2t-4[/tex]
[tex]v'(t)=0[/tex]
[tex]2t-4=0[/tex]
[tex]2t=4[/tex]
[tex]t=2[/tex]
[tex]v''(t)=2>0[/tex]
The velocity is minimum at t=2 s
Substitute t=2
[tex]v(2)=2^2-4(2)+12[/tex]
[tex]v(2)=8m/s[/tex]
Hence, the speed of car is minimum at t=2 se and minimum speed of car=8m/s
Measure these angles.
a)
b)
Answer:
Step-by-step explanation:
Angle A = 55 degrees. Angle B = 61 degrees.
The measure for part a is 55 degree.
The measure for part b is 61 degree.
What is Acute Angle?An acute angle is one that is smaller than the right angle. In other terms, an acute angle is formed by an angle less than 90 degrees. Polygons with at least one sharp angle include triangles, parallelograms, trapezoids, and so on.
An acute angle is one that is smaller than 90 degrees in length. This is a smaller angle than the right angle (which is equal to 90 degrees).
Given:
from the Figure we can see that the both angles are less than 90 degree i.e., Right angle.
Also, we know that Angles which are less than 90 degree is acute angle.
So, the both angles are less than 90.
The measure for part a is 55 degree.
and, the measure for part a is 61 degree.
Learn more about Acute angle here:
https://brainly.com/question/27749090
#SPJ2
Cook's bakery is making 15 cakes. Each cake contains 2 cups of flour. How many cups of flour (F) are needed to make all the cakes?
A) 2/F = 15
B) F/2 = 15
C) 15/2 = F
D) F = 15 + 13
Answer:
i think its C pls mark brainliest tho
Step-by-step explanation:
Answer: C
Step-by-step explanation: So it's asking you how many cups of flour in total it is suppossed to be multiplication but since there is no multiplication the only other answer that makes sense it C.
If the length of a rectangle is 12cm and the area is 48 what is the breadth and perimeter?
Answer:
32
Step-by-step explanation:
width- 48/12= 4
(12+4)2
=32
hope that helps if it does plese mark as brainliest.
Cargo shipping, an automobile manufacturer is preparin shipment of a cars andvtrucks on a cargo ship that can carry 21,600 tons
The cars weigh 3.6 tons each and the trucks weihgt 7.5 tons each. 1. Wtite thevequation thatvrepresents the weight constraint of a shipment let be the number of cars and be the numbers of trucks.
Answer:
3.6c + 7.5t <= 21,600
Step-by-step explanation:
Let c = number of cars, and let t = number of trucks.
c cars weigh 3.6c tons, and t trucks weigh 7.5t tons.
3.6c + 7.5t <= 21,600
PLEASE HEALPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP PPPPPPPPPPPP (−18)×4
Answer:
-18 x 4 = -72
Step-by-step explanation:
a negative times a positive is a negative number.
Gabriel has a square canvas that
measures 5/4 feet on each side. What is
the area of Gabriel's canvas?
what is the domain of the function represented by this graph?
1/4 + 2/3= then times that by two
Answer
1 7/12
Step-by-step explanation:
I need help
A square and a triangle have equal area. If the triangle has a height of 8 cm and a base of 9 cm, what is the perimeter of the square?
A:
72 cm
B:
6 cm
C:
24 cm
D:
18 cm
Answer:
A 72cm
Step-by-step explanation:
Area of a triangle = 1/2 base x height
= 1/2 × 8× 9 = 36cm2
area of triangle = area of square
36cm2 = 36cm2
area of square = length x breath
= x x x = 36cm3
square has all sides(4) equal
therefore: 36/ 2 = 18cm (one side)
(18 x 18= 36cm3, so area is correct)
hence perimeter = 18+ 18+18+18 = 72cm
Which inequality is equivalent to this one? y-85-2
Answer:
[tex]y-8+2\leq -2+2[/tex]
Step-by-step explanation:
Since you're adding either 8 or 2 to both sides, the inequality sign doesn't change.
So we can eliminate the first and second choice.
Now it's down to the bottom two.
The third choice is adding 2 to the left hand side and then adding 8 to the right hand side. You can't add two different numbers to different sides.
Therefore, the last one must be the correct answer.
The last one is adding two to both sides and have the same inequality sign.
Plz help asap its due in 40 mins
Answer:
b
Step-by-step explanation:
yes its right
Answer:
1) x=11
2)x=9
3)pr=21
4)fe=68
How much money will Gregg need to save in order to buy a video game for $40 if the sales tax is 8%?
Answer:
$43.2
Step-by-step explanation:
You need to divide 40 by 100 then multiply by 8, after that add what you get to 40.
(FILL IN THE BLANK)
Analyze the graph of the exponential decay function.
The initial value is _____
The base, or rate of change is _____
The domain is _____
Aaron borrowed money to start a new
business. The simple interest rate on the
loan is 2.5%. He will pay back the loan by
making a total of 12 payments of $266.50
each. How much did he borrow?
Answer:
$6.69448
Step-by-step explanation:
I=?
P=$266.50
R=2.5*1/100=2.5/100
T=12
P*R*T
$266.50*2.5/100*12=$6.69448
Y varies directly with x. If y = 150 when x = 3, what is x when y = 600
Answer:
Step-by-step explanation:
Y varies directly with x:
y=kx
for some non-zero constant k
substitute y=150 and x=3:
150=3k
k=50
When y=600:
600=(50)x
x=12
2+2?
5+6?
3+0? Pl tew awser
i need help with
−5 × −8 =
Answer:
40
Step-by-step explanation:
-5 * (-8) = 40
Answer:
40
Step-by-step explanation:
Because multiplication of subtract will be added