Answer:
7 units
Step-by-step explanation:
to solve the equation 7.5d=2.5d , Lin divides each side by 2.5d,elena subtracts 2.5d from each side.
Stefan’s family rented a rototiller to prepare an area in their backyard for spring planting. The rental company charged an initial fee of $43 with an additional fee per hour. If they paid $64 after renting the rototiller for 7 hours, what was the hourly fee?
If h represents the hourly fee, which equation models this problem?
What was the hourly fee for the rototiller?
The hourly fee is $3.00 per hour.
It is required to find the hourly fee for the rototiller.
What is arithmetic?Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.
Given:
Let h represents the hourly fee.
Let C be the total charge and t be the rental time in hours.
C = ht + 43
Putting the given values into the equation, we get:
64 = 7h + 43
7h = 21
h = 3
Therefore, the hourly fee is $3.00 per hour.
Learn more details about arithmetic here:
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Seventeen lines drawn in a plane, with no three concurrent and no two parallel, divide the plane into
closed regions (bounded on all sides) and open regions. The number of closed regions is
Answer:
120
Step-by-step explanation:
Make a chart:
Lines: 0 1 2 3 4 5 6
Closed regions: 0 0 0 1 3 6 10
Find the number of numbers using the formula:
[tex]\frac{first term + last term}{2}[/tex] x 14 = [tex]\frac{2 + 15}{2}[/tex] x 14
= 8.5 x 14
= 119
119 + 1 = 120
(add 1 because we didn't count the first line in the formula)
I hope this helps :)
The total number of closed regions is 120.
Given that,
Seventeen lines are drawn in a plane, with no three concurrent and no two parallel, dividing the plane into closed regions (bounded on all sides) and open regions.
Used the formula to calculate the number of closed regions with n sides is,
Number of sides = (n - 1) (n - 2) / 2
Here, n = 17
Hence, The number of closed regions is,
Number of sides = (n - 1) (n - 2) / 2
Number of sides = (17 - 1) (17 - 2) / 2
Number of sides = 16 × 15 / 2
Number of sides = 120
To learn more about closed regions, follow the link.
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What is a strategy for dividing 428 by 107?
Answer:
4Step-by-step explanation:
428÷107
Use the 1 st
digit 4 from dividend 428
107)1
107)428
Since 4 is less than 107, use the next digit 2 from dividend 428 and add 0 to the quotient
107)02
107)428
Use the 2nd
digit 2 from dividend 428
107)03
107)428
Since 42 is less than 107, use the next digit 8 from dividend 428 and add 0 to the quotient
107)004
107)428
Use the 3rd
digit 8 from dividend 428
107)005
107)428
Find closest multiple of 107 to 428. We see that 4×107=428 is the nearest. Now subtract 428 from 428 to get reminder 0. Add 4 to quotient.
107)0046
107)428
107)428
107)9990
Since 0 is less than 107, stop the division. The reminder is 0. The topmost line 004 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 4.
Quotient: 4
Reminder: 0
Triangles PQR and RST are similar right triangles.
image
Which proportion can be used to show that the slope of PR is equal to the slope of RT?
A.
3
−
7
−
4
−
(
−
7
)
=
−
5
−
3
2
−
(
−
4
)
B.
3
−
(
−
4
)
7
−
(
−
7
)
=
−
5
−
2
3
−
(
−
4
)
C.
−
4
−
(
−
7
)
3
−
7
=
2
−
(
−
4
)
−
5
−
3
D.
−
4
−
(
−
3
)
−
7
−
7
=
2
−
(
−
5
)
−
4
−
3
Help me tyyyyyyyyyyyyyyy
Answer:
option number 3
Step-by-step explanation:
Please help quick! Find the value of x to the nearest tenth.
Answer: 3.3
Step-by-step explanation: pythagorean theorem.
first we'll do the bottom triangle. a^2 + b^2 = c^2
a=3 and b=4
(3)^2 + (4)^2 = 9 + 16 = 25 which = c^2
to find c from c^2, square root the c^2 value. in this case it's 25. the square root of 25 is 5.
5 is now the base of the rectangle
now we can do pythagorean theorem again. except we'll switch it so it's c^2 - b^2 =a^2
c=6 and b=5
(6)^2 - (5)^2 = 36 - 25 = 11 = a^2
to find a we'll square root 11 which is just [tex]\sqrt{11[/tex]. approx. 3.3 to the nearest tenth.
We can use the Pythagorean theorem to solve for x.
But first, we have to find the value of 'a' (as I labelled in the diagram below). We could actually do all this in one step if we set it up correctly.
so x = √(6² - a²)
& a² = 3² + 4²
⇒ x = √[6² - (3² + 4²)]
x = √(11) or ≈ 3.3167
Please help with #4!!
Answer:
I think if you want to enlarge it add 10 to all three sides to get the sides of 13 16 and 16
Please help me solve this problem
25/8+(4/16)=3.8-0.25=
Answer:
71/ 20
Step-by-step explanation:
Find the perimeter of this semi-circle with the radius, r= 11 cm.
Give your answer rounded to 1DP.
Answer:
56.6 cm is the answer
use formula 1/2 πD+ D
Simplify 12 square root 1764
Answer:
504
Step-by-step explanation:
Answer:
42
Step-by-step explanation:
The square root of 1764 (or root 1764), is the number which when multipiled by itself give the product as 1764. Therefore the square root of 1764 = √ 1764 = 42.
A manager started a meeting with his staff at 9:30.The meeting ended at 10:25.How long did the meeting last
How long the meeting last = End time - Starting time
= 10:25 - 9:30
= 9:85 - 9:30 [I converted 10:25 to make it easier to see the
subtraction. This is posibble because 1hr = 60mins]
= 55 mins
If I could get help………
Answer:
[tex]x1 = 3 \\ y1 = 10 \\ x2 = 5 \\ y2 = 12 \\ y - y1 = \frac{y2 - y1}{x2 - x1} (x - x1) \\ y - 10 = \frac{2}{2} (x - 5) \\ y = x - 5 + 10 = x + 5[/tex]
enjoy it
help me plz
thank u!
Answer:
x = 41
y = 65
z = 107
Step-by-step explanation:
y and 65 are vertically opposite angles. Vertically opposite angles are equal.
y = 65
74 + y + x = 180
74 + 65 + x = 180
139 + x = 180
x = 180 - 139
x = 41
z is the exterior angle, whereas 66 and x are interior angles in a triangle.
Formula : -
Exterior angle = Sum of two interior angles
z = 66 + x
= 66 + 41
z = 107
What equation do you use to find the slope of a line? I believe it is y=mx+b but I forgot.....
What is scale factor of dilation that transform triangles PQR to triangle PQR explain your answer
Answer:
need coordinates of each or side lengths of each to solve
Is 65/126 about 1/4?
Answer:
No
Step-by-step explanation:
65/126 = 0.5158730..
1/4=0.25
The 65/126 (0.5) is not less than the 1/4 (0.25) which means that the given statement 1/4 is More than 65/126
please help me on all of them if u can
Answer:
1) x² + x
2) 2x² - x
3) 4x² + 3x
4) 2x² - 3x
5) 4x - 3x²
6) x + x²
Step-by-step explanation:
f(x) = x2 – 7x- 9
g(x) = -5x – 11
Find: (g•f)(x)
Answer:
[tex](gof)(x) = -5 {x}^{2} + 35x + 34[/tex]
Step-by-step explanation:
[tex](gof)(x) = g(f(x)) \\ = - 5( {x}^{2} - 7x - 9) - 11 \\ = - 5 {x}^{2} + 35x + 45 - 11 \\ = - 5 {x}^{2} + 35x + 34[/tex]
I hope I helped you^_^
please I need help. I dont understand this. its past due!
Answer:
1) x= -8
2) x=7
Step-by-step explanation:
1) x+88+x+108 = 180 ( co-interior angles)
=> 2x+ 196 = 180
=> 2x= 180-196
=> 2x= -16
=>x= -16/2
=>x= -8
2) 7x+6=8x-1
=>7x-8x= -1-6
=>-x= -7
=>x= 7
For what values of b is the expression x2 + bx + 12 factorable?
Answer:
Step-by-step explanation:
±7,±8,±13
for something to be factorable it must add to b and mulitply to c
list all the numbers that mulitply to 12
1,12
2,6
3,4
-1,-12
-2,-6
-3,-4
Then just take their sum
13,8,7,-13,-8,-7
what is 5x(2x+7)+x(3x-5 do you know
Answer:
43xx
Step-by-step explanation:
5x(2x+7)+x(3x-5)
first, do the equations inside the parentheses
2x+7=9x
3x-5=-2x
so,
5x(9x)+x(-2x)
Next, do 5x times 9x
(5x) x (9x) = 45
so,
45+x(-2x)
Next, do x times (-2x)
(x) x (-2x)=-2xx
so,
45+-2xx
=43xx
to what power must you raise the expression 7^1/2 to get 7 as the result?
Answer:
2
Step-by-step explanation:
(7^1/2)^2=7^(1/2*2)=7
(44 points and brainliest) A geologist noticed that land along a fault line moved 24 4/5 centimeters over the past 175 years. On average, how much did the land move each year?
Answer:
7.0564516129
Step-by-step explanation:
Use 175 and divide 24 4/5 from that, then you find out how much the land moves each year.
quincy has $37 in a savings account
Answer:
The 2nd answer would be the correct option.
Step-by-step explanation:
Hope this helps:) Also can I have brainliest if possible:) It is ok if you can not.
Please help me with algebra!!
Hello!
Answer:
-11
Hope this helps!
If Michael made 12 shots out of 18 what is the percentage of shots made by him?
Answer:
At least 66%
Step-by-step explanation:
65% of 18 is 11.7
67% of 18 is 12.06
Therefore, at least 66% of the shots where made by Michael.
Step-by-step explanation:
100% = 18
x% = 12
x% = 100% / 100 × x
so,
18/100 × x = 12
18x = 1200
x = 1200/18 = 200/3 ≈ 66.66666...
so, he made about 67% of the shots.
three friends are buying seashells at the gift shop on the beach. Melanie
buys 2 seashells for $0.80
Answer:
if you need to know the total, it would be $1.60 :)
For functions f and g defined by f(x) = x² + 7 and g(x) = x - 3, what is the value of f(g(5))?