The time taken by auntie Annie to rake is 25 minutes.
What is inequality?
A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is called inequality.
Let the time taken by auntie Anne to rake be ab minutes.
Now, according to the given question.
Auntie Anne situation is represented by an inequality
10 < ab <40
Since, it is given that sum of the digits of time taken by Anne to rake is 7.
⇒ a + b = 7
Also, ab is a multiple of 5.
Now,
When, a = 4 and b = 3 (or vice-versa)
4 + 3 = 7 but 43 is not a multiple of five.
When, a = 6 and b = 1 ( or vice versa)
6 + 1 = 7, but 61 is not a multiple of five.
When, a = 2 and b = 5 (or vice versa)
2 + 5 = 7 and 25 is multiple of 5.But 52 is not a multiple of 5.
Also, 25 is less than 40 and greater than 10.
Therefore, the time taken by auntie Annie to rake is 25 minutes.
Find out more information about inequality here:
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Rocío y su hermano Rafael son aficionados al modelismo y tienen una colección de
barcos y aviones. Rocío comentó: "Si tuviéramos once barcos más, tendríamos el
mismo número de barcos y aviones”, a lo que Rafael respondió: “Pero si tuviéramos
doce aviones más, tendríamos el doble de aviones que de barcos”. ¿Cuántos barcos
y aviones tienen Rocío y Rafael?
Usando un sistema de ecuaciones, se encuentra que Rocío y Rafael tienen 23 barcos y 34 aviones.
Para el sistema, consideramos que:
x es el número de barcos.y es el números de aviones.Situviéramos once barcos más, tendríamos el mismo número de barcos y aviones, o sea:
[tex]x + 11 = y[/tex]
[tex]y = x + 11[/tex]
Pero si tuviéramos doce aviones más, tendríamos el doble de aviones que de barcos, o sea:
[tex]y + 12 = 2x[/tex]
De el primer ecuación, [tex]y = x + 11[/tex], por eso:
[tex]y + 12 = 2x[/tex]
[tex]x + 11 + 12 = 2x[/tex]
[tex]x = 23[/tex]
[tex]y = x + 11 = 23 + 11 = 34[/tex]
Rocío y Rafael tienen 23 barcos y 34 aviones.
Un problema similar es dado en https://brainly.com/question/24646137
Find an equation of a line with a slope of 6 and having the point (3,5) on the line. Will mark brainliest!
Option A charges $500 for the year and $65 each time she visits the doctor. Option B charges only $300 for the year but $95 for each doctor's visit. How many visits will she have to make in a year for Option A to be the better deal?
Answer:
6 visits will she have to make in a year for Option A to be a better deal
Step-by-step explanation:
solve pls brainliest
Answer:
B) y = kx
Step-by-step explanation:
A Proportional relationship should have an equivalent ratio
All of the answers have a pass through the origin except y = kx because k is unknown.
Rachel will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55.96 and costs an additional $0.15 per mile driven. The second plan has an initial fee of $67.96 and costs an additional $0.11 per mile driven. How many miles would Rachel need to drive for the two plans to cost the same?
Answer:
300 miles
Step-by-step explanation:
$67.96 + $0.11x = $55.96 + 0.15x
x = 300
I hope this helps!
What is between 8.79 and 8.80 on a numberline
Answer:
8.795 is exactly half way between them
Step-by-step explanation:
That is the difference between them
What is the amount of discount?
(100 pts)
[tex]\\ \sf\longmapsto Discount=\dfrac{12.5(30}{100}[/tex]
[tex]\\ \sf\longmapsto Discount=12.5(0.3)[/tex]
[tex]\\ \sf\longmapsto Discount=125(3)/100[/tex]
[tex]\\ \sf\longmapsto Discount=375/100[/tex]
[tex]\\ \sf\longmapsto Discount=3.75[/tex]
Answer:
discount = $3.75
Step-by-step explanation:
Given:
[tex]\sf \dfrac{discount \times 100}{100}=\dfrac{\$12.50 \times 30}{100}[/tex]
Multiply both sides by 100 to eliminate the denominators:
[tex]\implies \sf discount \times 100=\$12.50 \times 30[/tex]
Divide both sides by 10:
[tex]\implies \sf discount \times 10=\$12.50 \times 3[/tex]
Carry out the multiplication on the right side:
[tex]\implies \sf discount \times 10=\$37.50[/tex]
Divide both sides by 10:
[tex]\implies \sf \dfrac{discount \times 10}{10}=\dfrac{\$37.50}{10}[/tex]
[tex]\implies \sf discount=\$3.75[/tex]
Find the solution to the system of equations:
7x-8y=-23
7x-7y=-14
Answer:
Solutions: x = 7, y = 9; or (7, 9)
Step-by-step explanation:
Given the following systems of linear equations:
7x - 8y = -23
7x - 7y = -14
Since the coefficients of x in the given system have the same sign, we could use the process of elimination by subtracting the two equations.
7x - 8y = -23
- 7x - 7y = -14
-y = -9
Divide both sides by -1 to solve for y:
[tex]\frac{-y}{-1} = \frac{-9}{-1}[/tex]
y = 9
Substitute the value of y into either one of the given equations to solve for x:
7x - 7y = -14
7x - 7(9) = -14
7x - 63 = -14
Add 63 to both sides:
7x - 63 + 63 = -14 + 63
7x = 49
Divide both sides by 7 to solve for x:
[tex]\frac{7x}{7} = \frac{49}{7}[/tex]
x = 7
Double-check whether x = 7 and y = 9 are valid solutions to the given system:
x = 7, y = 9:
7x - 8y = -237(7) - 8(9) = -23
49 - 72 = -23
-23 = -23 (True statement).
7x - 7y = -147(7) - 7(9) = -14
49 - 63 = -14
-14 = -14 (True statement).
Therefore, the solution to the given systems of linear equations are x = 7, and y = 9, or (7, 9).
plzzz need urgent help I will give brainlist
I just answered the second one on your last published question , so I'm solve the first one :
[tex]2x - y \leqslant 5[/tex]
[tex]x + 2y > 2[/tex]
There are two ways to find the answer I just do it in one of them but let me know if u wanna know the other way .
I'm gonna use the options to see which ordered pair is true in both inequalities which is the answer we r looking for :
Option 1 : ( 1 , - 1 )
[tex]2(1) - ( - 1) \leqslant 5[/tex]
[tex]1 + 2( - 1) > 2[/tex]
So ,
[tex]3 \leqslant 5 \: \: \: \: \: true[/tex]
[tex] - 1 > 2 \: \: \: \: \: false[/tex]
So this is not the correct option ..
_____________________________________________
Option 2 : ( 4 , 1 )
[tex]2(4) - 1 \leqslant 5[/tex]
[tex]4 + 2(1) > 2[/tex]
So,
[tex]7 \leqslant 5 \: \: \: \: false[/tex]
[tex]6 > 2 \: \: \: \: true[/tex]
Nope ...
_____________________________________________
Option 3 : ( 2 , 0 )
[tex]2(2) - 0 \leqslant 5[/tex]
[tex]2 + 2(0) > 2[/tex]
So,
[tex]4 \leqslant 5 \: \: \: \: true[/tex]
[tex]2 > 2 \: \: \: \: \: false[/tex]
Nope....
_____________________________________________
The answer must be Option 4 bcuz there's no more options left but let's check it out :
Option 4 : ( 3 , 2 )
[tex]2(3) - 2 \leqslant 5[/tex]
[tex]3 + 2(2) > 2[/tex]
So,
[tex]4 \leqslant 5 \: \: \: \: \: true[/tex]
[tex]7 > 2 \: \: \: \: true[/tex]
There it is ....
10000+2000003
ghsrhrs
- BRAINLIEST answerer
Answer: 2010003
Step-by-step explanation: because 10000+2000003= 2010003
Find m<1 and m<2
Help
Answer:
m<1 = 45
m<2 = 135
Step-by-step explanation:
135 is across from the 135 making m1 135 and 135 plus 45 equals 180, 180 is the total for the line the other 2 angles are on.
This does not contradict rolle's theorem, since f '(0) does not exist, and so f is not differentiable on (−1, 1).
Answer:?
Step-by-step explanation:?
Solving inequalities
-4(x - 7) + 8 _> 2x
Answer:
Its 2
Step-by-step explanation:
Cause if you use addition-subtraction property and the division property to solve an equation. Example 3 Solve 4 x + 7 = x - 2.
x-4-2= -11
it’s a negative 11 btw!!
Hello there!
x-4-2=-11
x-6=-11
x=-11+6
x=-5
Hope it helps
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]
Answer:
x=-5
Step-by-step explanation:
x-4-2=-11
x-6=-11
x=-11+6
=-5
Hello.My question is......what are my chances of rolling a 4 when i throw a dice if i rollo it two times?
Answer:
Step-by-step explanation:
3
Answer:
1/6 because wanting to roll a four every time you roll a dice is going to be a 1.6 chance since there is only one 4
Step-by-step explanation:
pls help me out
6x + 12x = 90
Answer:
x=5
Step-by-step explanation:
6x+12x=90
18x=90
x=90/18
x=5
Answer:
x =5
Step-by-step explanation:
To solve for x:
1: add like-terms
6x+ 12x = 90
Now it is: 18x =90
2: use division on both sides to solve for the variable
18x= 90
18x/18 = 90/18
x = 5
Mairead jogs 2,700 feet, while Paula jogs 0.5 mile. Who jogs farther, and by how many feet?
Please help, I have to be done with this in 2 days so if anybody could help it would be very nice.
Answer:
Paula jogs more by 0.1113636 miles or 600 feet.
Step-by-step explanation:
formula for feet to miles; 5280 / f.
2700 / 5280 = 0.5113636363636
0.113636363636 x 5280 = 600 feet.
need help ASAP its due tonight
Answer:
Step-by-step explanation:
15/3 + 3 =
15/3 + 9/3 =
24/3 =
8
2(15) + 3 30 + 3 33
------------- = -------------- = ----------------
3 3 3
33/ 3 =
11
mark me brainliest :D
1. find each measure
Answer:
x=9.. 5 x 9 =45.. 45-17=28, 3 x 9 = 27.. 27+1 is 28
Step-by-step explanation:
28 is the answerr
taxi Cab Company B: $6.50 per ride and $0.50 per mile
Express in the table the cost of the cab ride given the number of miles. Hint: Fill in the table above using cost for company B.
Write an equation in slope-intercept form to represent the cost of a taxi ride using company B. Hint: use y= mx+b
Y = __________________
What does the slope mean in the context of this problem?
Hint: What changes the further you ride?
Using the slope - intercept relation, the equation which represents the cost of cab ride is y = 0.5x + 6.50
Cost per ride = $6.50Cost per mile = $0.50Using the slope - intercept relation :
y = bx + cb = change in cost per mile
c = constant price added for every taxi ride
Hence, the expression can be written thus :
y = 0.5x + 6.50Learn more : https://brainly.com/question/17225268
PLS HELP WILL MARK BRAINLIEST!
Answer:
According to me answer is option E
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
In chemistry class, Bob recorded the volume of a liquid as 16.1 mL The acual volume was 15.5 mL. Use the formula to find percent error of Bobs measurement to the nearest tenth of a percent
Answer:
3.9% is the rounded version
Step-by-step explanation:
Answer:
37.0%
Step-by-step explanation:
thanks pi sa points uwu (^^)
godblesss
Practice: Find the value of the variable(s) in each figure explain your reasoning.
Answer:
I'm assuming you know how to solve first degree equations, in particular how to move terms from one side to the other.
Top figure. The two angles measuring 3x and 5x-20 are congruent (they are alternate angles related to the two parallels and the transversal closing the triangle.. Now, if 3x = 5x-20 a simple solution is x=10. Now into the triangle, the sum of the internal angles has to be 180, and we already know how much x measures. 2y+4y+30 =180. Solve for y =25
Middle figure. From the bottom right corner, you can already tell that 2y+106= 180, or y=37. But 2y and x are congruent (corresponding angles), so x= 74. Pick the method you prefer to say that either 4z+6=106 (both angles are congruent to the one in the bottom corner since they're corresponding, thus they have to be equal to each other) OR 4z+6+x = 180 (they're conjugate angles to x, so their sum is 180). To get z=25
Bottom row in both cases, the two angles sum up to 90°
Left one: 4x-20+2x-16 = 90 so x = 21
Right one: 2x-30 +x+15= 90 so x = 35
Find the number of sides of a regular polygon whose each interior angle is 150 degree ...pls give step by step explaination
Answer:
12
Step-by-step explanation:
the angle is defined by equation ((n-2)*180)/n,where n is number of sides of a regular polygon
so here 180n-360=150n
30n=360
n=12
solve for x. -2(-4+3)-8=2(2+x)
Answer:
x = − 5
Step-by-step explanation:
Answer:
x=-5
Step-by-step explanation:
-2(-4+3)-8=2(2+x)
8-6-8=4+2x
2x=8-6-8-4
2x=-10
x=5
Solve for y.
y − 25 = 11
y =
ANSWER :
y - 25 = 11
y = 25 + 11
y = 36
Answer:
y = 36
Step-by-step explanation:
y - 25 = 11y = 11 + 25y = 36does anyone know this
Answer:
9.2
Step-by-step explanation:
We can use the Pythagorean Theorem, a^2 + b^2 = c^2 to solve this. Since a and b are the lengths of the two sides and c is the length of the hypotenuse, we modify the original formula to c = [tex]\sqrt{a^{2} +b^{2} }[/tex] to find the length of the diagonal. We would get c = [tex]\sqrt{7^{2} +6^{2} }[/tex] = 9.2.
The FM radio station KAMB broadcast from an antennae atop a 150 meter tall radio tower at a frequency of 90 MHz with a total radiated power of 40 kilowatts. Neighbors have complained about problems they attribute to excessive radiation from the tower, but the city engineer who measured the radiation level near the base of the tower found it to be well below the accepted standard. You have been hired by the HOA to assess the engineer's report. You know a few things about electromagnetic radiation and therefore conclude that we must find the optimum place on the ground to measure the maximum radiation emitted from the antennae. From your extensive knowledge in physics, you know that the intensity of radiation, I, is given by the formula:
I=12/32π*Psin2(θ)/r^2
where P is the power output, r is the distance from the top of the tower to the point on the ground, and θ is the angle measured from the tower to r.
Find the distance R from the base of the tower to the optimum location for taking the radiation reading. (m)
What is the maximum radiation reading from the ground in kw/m^2
If the city code requires that electromagnetic radiation be under 200 microwatts per square meter, is this antenna operating within city code? Yes or No
Answer: 150 m, 5.305*10^-5 kW/m^2, No
Step-by-step explanation:
See attachment, hope this helps
Using the radiation intensity formula we will have to:
a) [tex]150 m[/tex]
b) [tex]5.305*10^{-5} kW/m^2[/tex]
c)No
From the data informed, we have:
[tex]h=150m\\P=40KW[/tex]
Using the given formula and performing some mathematical operations:
[tex]I=\frac{12Psin^2(\theta)}{32(\pi)r^2} \\I= \frac{12(40)(R/r)^2}{32(\pi)r^2} \\= \frac{15R^2}{r^2\pi } \\= \frac{15R^2}{(R^2+150^2)^2\pi} \\[/tex]
deriving the given equation, we will have:
[tex]=\frac{(R^2+150^2)^22R-R^2(2(R^2+150^2))2R}{(R^2+150^2)^2}[/tex]
So from this equation we have that the answer of the letter A corresponds:
[tex]R=150[/tex]
For letter B we will have to develop this equation:
[tex]I= 5.30X10^{-5}[/tex]
As for the letter C, when converting the value found, it should give 200 microwatts, which is false.
Learn more: brainly.com/question/10148635
what is the y-intercept of the function, represented by the table of values below
Answer:
D
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope- formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 15) and (x₂, y₂ ) = (1, 6) ← 2 ordered pairs from the table
m = [tex]\frac{6-15}{1-(-2)}[/tex] = [tex]\frac{-9}{1+2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute any ordered pair from the table into the partial equation
Using (2, - 3 ) , then
- 3 = - 6 + c ⇒ c = - 3 + 6 = 3
The y- intercept c = 3 → D
A relationship between x and y is defined by the equation − 5 x + 3 y = 12 , where x is the input and y is the output. Indicate whether each of these statements about the relationship is true or false by selecting a box in each row. Statement True False y is a function of x . The graph of the relationship is a line. The graph of the relationship passes through the origin. When the input is 6, the output is 14.
Answer:
Step-by-step explanation:
y is a function of x . TRUE
The graph of the relationship is a line. TRUE
The graph of the relationship passes through the origin. - it in standard form, when you plugin 0 for x or y, you get the other intersect( x-intercept: (12/-5,0) y-intercept: (0,4)) so it dosent go throught the origin. FALSE
When the input is 6, the output is 14. TRUE
-5(6)+3(14)=12
-30+42=12
12=12
Answer:
y is a function-TRUE
The graph of the relationship is a line-TRUE
The graph of the relationship passes through the origin-FALSE
When the input is 6, the output is 14-TRUE
