an exterminator charge $80 to visit a home and $35 to spray each room. Of the total bill was $394, how many rooms were sprayed?
Answer:
The answer is $8.97 per room
Step-by-step explanation:
394-80=314
314 divided by 35=
$8.97
Please Helppplpppppp
Matthew and his 3 siblings are weeding a flower bed with an area of 9 square yard
Answer:
27 square feet.
Step-by-step explanation:
Amanda went to the store to purchase ink pens. She found three kinds of pens. The first cost $4 each; the price of the second kind was 4 for $1; and the cost for the third kind was 2 for $1. She bought 20 pens and she bought at least one of each kind. (It is possible to buy only 1 of the pens that are "4 for $1" or "2 for $1".) The cost was $20. When she got back to her office, Amanda decided to turn this into a math problem for me. She asked: how many of each kind did I buy?
Answer:
Amanda buy first kind of pen = 3
Amanda buy second kind of pen = 2
Amanda buy third kind of pen = 15
Step-by-step explanation:
Given - Amanda went to the store to purchase ink pens. She found three
kinds of pens. The first cost $4 each; the price of the second kind
was 4 for $1; and the cost for the third kind was 2 for $1. She bought
20 pens and she bought at least one of each kind. (It is possible to
buy only 1 of the pens that are "4 for $1" or "2 for $1".) The cost was
$20.
To find - When she got back to her office, Amanda decided to turn this into
a math problem for me. She asked: how many of each kind did I
buy?
Proof -
Let Amanda buy first kind of pen = x
second kind of pen = y
third kind of pen = z
As given,
She bought total pen = 20
⇒x + y + z = 20 ...............(1)
Now,
As given,
cost for first kind pen = $4 for 1 pen
As she bought x pens of first kind , so
Cost of x pens of first kind = $4x
Now,
The price of the second kind was 4 for $1
⇒Cost of second kind = $[tex]\frac{1}{4}[/tex] for 1 pen
As she bought y pens of send kind , so
Cost of y pens of second kind = $[tex]\frac{1}{4}y[/tex]
Now,
The price of the third kind was 2 for $1
⇒Cost of third kind = $[tex]\frac{1}{2}[/tex] for 1 pen
As she bought z pens of send kind , so
Cost of z pens of third kind = $[tex]\frac{1}{2}z[/tex]
Now,
As given, The cost was $20
⇒4x + [tex]\frac{1}{4}y[/tex] + [tex]\frac{1}{2}z[/tex] = 20
⇒16x + y + 2z = 80 .....................(2)
∴ we get 2 equations
x + y + z = 20 .....................(1)
16x + y + 2z = 80 .....................(2)
Now,
Subtract equation (1) from equation (2) , we get
16x + y + 2z - ( x+ y + z )= 80 - 20
⇒16x + y + 2z - x - y - z = 60
⇒15x + z = 60
⇒z = 60 - 15x
Now,
Put the value of z in equation (1) , we get
x + y + 60 - 15 x = 20
⇒ y - 14x = 20 - 60
⇒y - 14x = -40
⇒14x - y = 40
⇒y = 14x - 40
Now,
we get
z = 60 - 15x
y = 14x - 40
As given
she bought at least one of each kind
it means x > 1, y > 1, z > 1
Now,
If x = 1, then y = 14 - 40 = -26
Not possible
If x = 2 , then y = 14(2) - 40 = -12
Not possible
If x = 3, then y = 14(3) - 40 = 2 and z = 60 - 15(3) = 15
Possible.
If x = 4, then y = 14(4) - 40 = 16 and z = 60 - 15(4) = 0
Not Possible.
If x = 5, then y = 14(5) - 40 = 30 and z = 60 - 15(5) = -15
Not Possible.
∴ we get
x = 3, y = 2, z = 15
Amanda buy first kind of pen = x = 3
Amanda buy second kind of pen = y = 2
Amanda buy third kind of pen = z = 15
George, Arianna, and Carlos are going to mow the baseball field with push
mowers. By themselves, George can mow the field in 5 hours, Arianna
can mow the field in 6 hours, and Carlos can mow the field in 3 hours. If
the game is in 2 hours, can they get the field mowed in time?
Answer: Yes, they will have it mowed in 1 hour and 18 minutes
Step-by-step explanation:
Algebra 2 Unit 1 Assessment
Which of the following contains multiple variables?
4a + 5b + 1
4a + 5a + 1
4a - 1
4 - 1
Answer:
I would have to say A
Step-by-step explanation:
B has 2 of the same variables while A has to different variables and C&D have no variables there for the answer is A
Math Question for 50 points please help
Answer:
BStep-by-step explanation:
Your answer is B.
⚠︎ I HOPE YOU ARE DOING WELL ☻︎
HAVE A FANTASTIC DAY ꨄ︎
Answer:
The answer is B
Step-by-step explanation:
Its different from all the others
Question
A deck of cards contains RED cards numbered 1,2 and BLUE cards numbered 1,2,3,4,5. Let R be the event of drawing a red card, B the event of drawing a blue card, E the event of drawing an even numbered card, and O the event of drawing an odd card.
Drawing the Blue 2 is an example of which of the following events? Select all correct answers.
Select all that apply:
E′
R OR O
R AND E
B OR O
B AND E
R′
Answer:
I want to say it would be B and E because your drawing a blue 2, 2 is an even number first of all secondly its a blue card and B is the event of drawing a blue card In conclusion i believe its B and E
Step-by-step explanation:
Last month, John's dog ate 45 cans of dog food in 30 days. How many cans should John buy to feed his dog for the next 6 days?
Answer:
John needs to buy 9 cans to feed his dog for the next 6 days
Step-by-step explanation:
1.5 cans per day (45/30) apply that 1.5 × 6 = 9
2x-3(x-1)=-1 solve by substitution
Answer:
-x+3
Step-by-step explanation:
Distribute -3:
2x-3x+3
Collect like terms:
-x+3
the angle of elevation from the bottom of the lift to the top of Snowbowl mountain is 33 degrees. If the height of the mountain is 544 meters, what is the length of a list from the bottom of a mountain to the top?
Answer:
Step-by-step explanation:
[tex]tan33=544/x\\ \\ x=\frac{544}{tan33}m\\ \\ x\approx 837.7m[/tex]
9514 1404 393
Answer:
999 meters
Step-by-step explanation:
The length of the lift line represents the hypotenuse of a right triangle. The side opposite the given angle is the height of the mountain. The applicable trig relation is ...
Sin = Opposite/Hypotenuse
We want to find the hypotenuse, so we use the rearranged form ...
hypotenuse = (mountain height)/sin(33°)
lift length = (544 m)/sin(33°) ≈ 998.83 m
The length of the lift from bottom to top is about 999 meters.
Create a system of equations
Janet is 5 years older than her brother David. The sum of their ages is 27. How old are Janet and David
Answer with steps please
Answer:
Answer: Janet is 16, and David is 11.
Step-by-step explanation:
Let the ages be j and d.
j = d + 5
j + d = 27
Substitute d + 5 for j in the second equation.
d + 5 + d = 27
2d + 5 = 27
2d = 22
d = 11
Substitute 11 for d in the first equation.
j = d + 5
j = 11 + 5
j = 16
Answer: Janet is 16, and David is 11.
Determine whether the sequence is geometric. If so, find the common ratio. 3.0, 6.0, 12.0, 24.0
Answer:
The sequence is geometric and the common ratio is 2
Step-by-step explanation:
A sequence is geometric if each term (after the first one) is equal to the term before it times some constant number, called the 'common ratio'.
Examples: 1, 2, 4, 8, 16, ... has a common ratio of 2 because 2*2 = 4, and 4*2 = 8, and so on.
Also, --> 4, 2, 1, 1/2, 1/4/ 1/8, ... has a common ratio of 1/2 because
4 * 1/2 = the next term 2, and 2 * 1/2 = the next trem 1/4, and son on.
In this case, 3 * 2 = 6
6 * 2 = 12
12 * 2 = 24
The sequence is geometric and the common ratio is 2
pls help im confused im not smart
After a tropical storm in a certain state, news reports indicated that 19 percent of households in the state lost power during the storm. A state engineer believes that estimate is too low. The engineer will collect data to perform a hypothesis test on the proportion of all households without power. Which of the following are the appropriate hypotheses for such a test?
Answer:
H0:p=0.19
Ha:p>0.19
Step-by-step explanation:
What is 4 x 1 1/2 x 2
Answer:
Step-by-step explanation:
4×1½×2 = 4×3 = 12
Write these decimals in order from least to greatest.
0.6 0.8 0.55 0.125 0.875
Then explain how you know.
Answer:
0.125, 0.55, 0.6, 0.8, 0.875
130° 20 C = degrees.
Answer:
hold on im trying to solve it
Step-by-step explanation:
Answer:
65
Step-by-step explanation:
2(65) = 130
180-130 = 65
hope this helps plz mark brainliest!
A serviceman with two children has monthly salary of Rs 22800. He has got tax free
allowance up to Rs 200000 and allowance of Rs 1500 for each child. 10% of his monthly salary is deposited in provident fund every month which is also tax free. 15% tax is levied on the taxable income up to Rs 50000 and 25% for the rest. How much tax should he pay in a year?
Answer:
answer below :) hope this helps!
Step-by-step explanation:
Amount invested in Civil investment fund= 10% of 96000 = [tex]\frac{10}{100}[/tex] x 96000 = 10 x 960= 9600
remaing taxable amount = =96000 -(75000+9600)
= 96000 - 84600
= Rs. 11400
Tax = 15% of 11400
= [tex]\frac{15}{100}[/tex] x 11400 = 15 x 114 = 1710
again, i hope this helps :)
Can anyone please help me with the problem.
Answer:
The missing angle is 50
Step-by-step explanation:
That is a 180 degree in total... So
180-65-65=50
50
Which best represents the inequality?
Answer:
i think C
Step-by-step explanation:
Solve for x. (TYPE ONLY THE NUMBER FOR YOUR ANSWER).
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The sum of angle measures in a quadrilateral is 360°.
(8x-5)° +107° +83° +119° = 360°
8x = 56 . . . . . . . divide by °, subtract 304
x = 7 . . . . . . . . . . divide by 8
If a rectangle has a length of 8 cm and a width of 12 cm what is the area
evaluate the expression 8 ÷ t when t= 4
Please do all of the attachments, quick. It is due please
First one with the right answer gets brainlest, and I will give extra points please.
What is the perimeter of the rectangle given below?
7 1/15 - 3 4/5
Answers:
A. 3 4/15
B. 4 11/15
C. 4 3/10
D. 3 1/15
Answer:
3 4/15
Step-by-step explanation:
A
Here is a true statement: -6.7 < -6.2. Select all of the statements that are equivalent to -6.7 < -6.2.
Group of answer choices
-6.7 is further to the right on the number line than -6.2.
-6.2 is further to the left on the number line than -6.7.
-6.2 is less than -6.7.
-6.2 is greater than -6.7.
-6.7 is less than -6.2.
-6.7 is greater than -6.2.
=============================================================
Explanation:
Let's go through the answer choices one by one to see which are true and which are false.
A) This is false because -6.7 is to the left of -6.2 on the number line.B) This is false for similar reasoning as choice A.C) This is false because -6.7 < -6.2 means that -6.7 is the smaller value.D) This is true. The value -6.2 is larger than -6.7; we can say that -6.7 < -6.2 is the same as -6.2 > -6.7 (note the two sides swap places and the inequality sign flips).E) This is true and it's directly from -6.7 < -6.2; the inequality sign has the pointed edge aimed at the smaller value, while the non-pointed side is aimed at the larger value. You can think of an alligator's mouth that represents the < sign. The alligator will eat the larger value each time, so this is where the mouth faces.F) This is false since it contradicts choice E above. I recommend drawing out a number line to help see why -6.7 < -6.2 is a true statement.find 2 solutions to -x>10
Answer and Step-by-step explanation:
x < -10
All real numbers that are less than -10.
(-∞, -10)
#teamtrees #WAP (Water And Plant)
Which is the product of 15 and
5
?
12
A.
5
5
12
B. 6
61
O
1
7.
12
O
o D. 78
Answer:
answer of above question is B. 6 1/4