Answer:
x=2 and y=3
Step-by-step explanation:
y-2=x-1
or,x-y=-1.......(1)
again,
2x+1=y+2
or,2x-y=1.......(2)
now,
solving equations (1)&(2),we get,
x=2 and y=3
Find f (-9) with the given function rule of f(x)= x-3
Step-by-step explanation:
We have f(-9) = (-9) - 3 = -12.
Answer:
-12
Step-by-step explanation:
f(9)=-9-3= -12
....
At a basketball camp there are 10 girls for every five boys. What is the ratio for boys to the total number of campers?
At a wedding reception an equal number of guests were seated at each of three large tables, and 7 late arriving desks were seated at a smaller table. There were 37 guests in all. If n represents the number of guests seated at each of the large tables, what equation represents the situation?
Answer:
3n+7=37 is the equation to solve how many were at each of the large tables
Krystal purchases a total of $120. If a 4% sales tax is added on, how much will her total purchase cost?
Nicole rented a scooter while she was on vacation. She paid an initial rental fee of $50 plus a daily fee of $ 25 each day. The total cost was for the rental was $300. How many days did Nicole rent the scooter
Answer: Nicole rented the scooter for 10 days.
Step-by-step explanation:
50 + 25 = 75 (Day 1)
75 + 25 = 100 (Day 2)
100 + 25 = 125 (Day 3)
125 + 25 = 150 (Day 4)
150 + 25 = 175 (Day 5)
175 + 25 = 200 (Day 6)
200 + 25 = 225 (Day 7)
225 + 25 = 250 (Day 8)
250 + 25 = 275 (Day 9)
275 + 25 = 300 (Day 10)
Complete the recursive formula of the arithmetic sequence 20, 26, 32, 38, ....
Answer:
a(1) = 20 or 14. Does Khan say that the first term of the sequence shown is the 1'st term or not.
a(n) = a(n-1) + 6
If not correct then I'm sorry
Step-by-step explanation:
Answer:
a(1) = 20
a(n) = a(n-1) + 6
Step-by-step explanation:
Plz, Help me with this question.
Answer:
the answer is I its adding 11
A construction company is repaving a damaged road. So far, they have repaved a total of 8,747 centimeters of the road. Today, they repaved 2,138 centimeters of the road. About how many centimeters of the road had they repaved before today?
Answer:
previously repaved= 6,609cm
Step-by-step explanation:
Giving the following information:
So far, they have repaved a total of 8,747 centimeters of the road. Today, they repaved 2,138 centimeters of the road.
To calculate the number of centimeters repaved, we need to use the following formula:
Total centimeters= repaved today + previously repaved
8,747= 2,138 + previously repaved
6,609=previously repaved
help me i need the answer
9514 1404 393
Answer:
arc AB = 102°arc ADB = 258°Step-by-step explanation:
The measure of an arc is the measure of the corresponding central angle.
__
Short arc AB is shown as subtending a central angle of 102°, so the measure of arc AB is 102°.
__
The sum of arc measures in a circle is 360°, so the measure of arc ADB is 258°, the value that adds with 102° to make 360°.
Sally launches a rocket off of a platform. The height of the rocket, in meters, can be modeled by the function, h(x) = -5(x - 3)2 + 56, where x is in seconds. o What is the height of the platform? o What is the maximum height the rocket reaches? o How long does it take to reach this height?
Answer:
Time = 3secs
Max height = 56m
Step-by-step explanation:
Given the height reached by the rocket modeled by the equation;
h(x) = -5(x - 3)² + 56 where;
x is in seconds
The rocket velocity at its maximum height is zero.
Hence dh/dx = 0
dh/dx = 2(-5)(x-3)
dh/dx = -10(x-3)
Since dh/dx = 0
0 = -10(x-3)
0 = -10x + 30
10x = 30
x = 3secs
Hence it takes 3 secs to reach the maximum height.
Get the maximum height reached by the rocket. Substitute x = 3 into the equation given;
Recall that:
h(x) = -5(x - 3)² + 56
If x = 3
h(3) = -5(3 - 3)² + 56
h(3) = 0 + 56
h(3) = 56
Hence the maximum height that the rocket reaches is 56m
The number of chairs in the classroom is twice the number of tables plus six. If there are thirty-six pieces of furniture in the classroom between chairs and tables, how many chairs and tables are there?
Answer:
24 chairs and 18 tables
Step-by-step explanation:
I split it up so 24 chairs and 12 tables plus 6 so 18 tables.
With Department A sales of $200,000, Department B sales of $600,000, and overhead expense to be allocated of $25,000, the distribution of overhead to Department A based on sales is:
Answer:
6,250$ is the overhead for department a
The distribution of overhead to Department A based on sales is $6250.
What is an overhead expense?A recurring cost of running a firm is referred to as overhead or overhead charge. While operating expenses like material and labor, overheads could easily be linked to or recognized with any one revenue unit.
They are operating costs for a business that cannot be connected to the creation or production of a good or service. They are really the costs a business must pay to remain open, independent of how successful it is.
Department A has sales of $200,000
Department B has sales of $600,000
Therefore the ratio between the two departments will be:
200000: 600000
= 1 : 3
The overhead expense for both the department combined are $25,000
The share of department A will be at
= 25000 * (1/4)
= $6250
Learn more about overhead expense, Here:
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Can anyone please help I am struggling with math and Noone wants to help me and I want to learn so does anyone understand HOW u factor this
Answer:
Step-by-step explanation:
256 = 16×16=4×4×4×4 = 4^4
X^4-4^4 = (x^2)^2 - (4^2)^2
Using algebraic identity a^2-b^2 = (a+b)(a-b)
We get (x^2+4^2)(x^2-4^2)
(x^2+4^2)(x+2)(x-2)
A cop wrote 380 citations for warnings and speeding tickets. Of these there were 40 more warnings and speeding tickets. How many warnings and speeding tickets were issued?
Answer:
210 warnings and 170 speeding tickets
Step-by-step explanation:
Add them together and you get 380.
210 is 40 more than 170
what is -3(x+6) equal to?
HAPPY?????
Answer:
-3x - 18
Step-by-step explanation:
Use the distributive property.
-3(x + 6) = (-3)(x) + (-3)(6) = -3x - 18
Answer:
-3x-18
Step-by-step explanation:
Use the distributive property to simplify
-3(x+6)
(-3*x)+(-3*6)
-3x+(-18)
-3x-18
1. Check whether the following numbers are in proportion or not:
(i) 3, 5, 6, 10
(ii) 0.25, 0.5, 50, 100
(iii) 3, 412, 6, 923
(iv) 412, 113, 214, 23
Answer:
the answer is 18-3/9 into 3rds 13/3
Step-by-step explanation:
Answer:
5/23 into 8
Step-by-step explanation:
Drag each tile to the correct box. Not all tiles will be used. Consider the following función. F(x) = 4x + 7
9514 1404 393
Answer:
see attached
Step-by-step explanation:
Starting with the original function, swap the variables x and y, then solve for y. The resulting function is the inverse of the original function.
Answer: The person that answered at the top is a legend!! The picture below is just proof that he/she is right!! :)
At a small airport, 3 out of 27
suitcases are misplaced each day. If 810
suitcases are processed, how many suitcaset
would you expect to be misplaced?
Please I need help on this
Answer:
i cant see the picture that well
NiCole Spent 15% of her day doing homework. How many hours did she spend on her homework?
Answer:
4 hour of her day
Step-by-step explanation:
I help pls
I dum dum at math
Answer:
AB - XY ≅ 0
Step-by-step explanation:
since AB is identical to XY, AB - XY would be approximately 0
The relationship (3,2)(2,5) (8,5) (3,6) is a function
A True
B) False
In the scale used on a blueprint, 12 inch represents 3 feet. On the blueprint what is the length of a room with an actual length of 24 feet?
Answer:
27 feet
Step-by-step explanation:
Which table of ordered pairs represents a proportional relationship? PLEASE HELP MEEEE!!!!!!
20 POINTS I THINK
the answer is B
your welcome
Which relation is a function?
A) {(2,3). (5,8).(-4,-1). (9.7), (2.1)}
B) {(2,3). (5,8).(-4-1). (9.7). (5,7)}
C) {(2,3). (5.8).(-4,-1). (9.7).(-2.1)}
D) {(2,3). (5.8).(-4,-1). (5,7), (-2,1)}
Which number goes in the box to make a true equation?
]X 10 = 42.000
Answer:
x=4200
Step-by-step explanation:
10x=42000
x=4200
Triangle A B C is shown. Angle A C B is a right angle. The length of hypotenuse A B is 12 and the length of B C is 6. Angle A B C is 60 degrees and angle B A C is 30 degrees.
What is the value of tan(60°)?
One-half
StartRoot 3 EndRoot
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
StartFraction 1 Over StartRoot 3 EndRoot EndFraction
Answer: 2 is the answer
Step-by-step explanation:
did it on ed
The value of tan 60° in the triangle ABC is √3
Right angle triangle:Right angle triangle have one of its angles as 90 degrees. The sides are called hypotenuse, adjacent and opposite side base on the angles.
Therefore,
ΔABC
∠C = 90°
AB = 12
BC = 6
∠B = 60°
∠A = 30°
Therefore,
tan 60° = opposite / adjacent
AC = √12² - 6² = √108 = 6√3
tan 60° = AC / BC
tan 60° = 6√3 / 6
tan 60° = √3
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Write four and five-eighths as an improper fraction and as a mixed number.
A. start fraction 37 over 8 end fraction, 5Four-eighths
B. start fraction 44 over 8 end fraction, 5Four-eighths
C. start fraction 37 over 8 end fraction, 4start fraction 5 over 8 end fraction
D. start fraction 32 over 8 end fraction, 4start fraction 5 over 8 end fraction
PLEASE HELP WORTH 20 POINTS
Answer:
the answer is c.
Step-by-step explanation:
i multiply the 4 by the 8 on the denominator and add that answer to the numerator which equal to 37/8
and the mixed number stays the same since its already mixed.
Answer:
C
Step-by-step explanation:
D.
$3.75
Two families went bowling. Each hour of bowling costs b dollars per person, plus a flat foo
of 52 per person for shoe rental. The expression 3 (6 + 2) + 4(6+2) represents the total
cost of both familes to bowl for one hour Choose the equivalent expression below
A.
7(6+2)
B
7(20+4)
с
36 +2+4+2
D
37 +6++2
4
Find the area of this isosceles trapezoid.
Answer:
431
Step-by-step explanation: