The inequality that represents the largest number of animal food that Ollie can buy is 3.25x+7.25≤55.75.
What are inequality signs and what do they mean?> means greater than
< means less than
≥ means greater than or equal to
≤ less than or equal to
What inequality represents the largest number of animal food that Ollie can buy?The inequality sign that would be used is ≤ , this is because the maximum amount he can spend is $55.75.
3.25x+7.25≤55.75
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A group of friends wants to go to the amusement park. They have no more than $225 to spend on parking and admission. Parking is $5, and tickets cost $20 per person, including tax. Write and solve an inequality which can be used to determine the number of people who can go to the amusement park.
Answer:
We want to write and solve an inequality to determine the number of people who can go to the amusement park.
The solution is p ≤ 11
The friends have a maximum of $225 to spend.
The parking is independent of p, the number of friends, and it costs $5, discounting that we get: $225 - $5 = $220
Each ticket costs $20, so the cost for p people is:
p*$20
And this must be equal to or smaller than $220, then we get the inequality:
p*$20 ≤ $220
To solve it for p, we need to divide both sides by $20, we will get:
p*$20/$20 ≤ $220/$20
p ≤ 11
This inequality gives the number of people that can go to the amusement park.
Step-by-step explanation:
Hope this helps you!!!!!!!!!!! :D
Please I need this today
Answer:
I think its the first one
Step-by-step explanation:
Bella is shopping for an outfit to wear at her birthday party. She has $60 to spend. She finds a dress for $72 and she has a 25% off coupon. Does she have enough money to buy the dress?
Step-by-step explanation:
25% off means dress will cost 75% of original price.
3/4 * 72 = $58.
yes she has enough money
1/4 (-12+3) -8/3
Simplified
Answer:
-59/12
Step-by-step explanation:
finish whats inSide brackets first
so -12+3 =-9
-9*1/4 will be next and = -9/4
9/4+8/3 =. 59 /12
The diameter of the circle is 9.7 m . Calculate the length of its circumference. Round to the nearest tenth and remember to use the appropriate unit of measurement .
Answer:
30.4m
Step-by-step explanation:
Diameter(D) = 2r (radius)
D = 9.7m
r = 9.7m / 2
= 4.85m
C = 2πr
= 2π × 4.85m
= 30.47344873982099m
rounding - Leave it as is if the digit in the tenth is 4 or lower
- round it up if it's 5 or higher.
~~ 30.4m
7th Grade math
6x+9=-12
Answer:
[tex]Solution,\\6x+9=-12\\6x=-12-9\\6x=-21\\x=-\frac{21}{6}[/tex]
Step-by-step explanation:
Decimal=-3.5
Answer:
[tex]\huge\mathrm{\displaystyle-\frac{7}{2} }[/tex]
Explanation:
Hi there, I hope you are having a nice day! :)
First of all, let's move all the numbers to the right:
[tex]\longmapsto\sf{6x+9=-12[/tex]
[tex]\longmapsto\sf{6x=-12-9[/tex]
[tex]\longmapsto\sf{6x=-21[/tex]
Divide both sides by 6:
[tex]\longmapsto\sf{x=\displaystyle-\frac{21}{6}[/tex]
Simplify:
[tex]\longmapsto\sf{x=\displaystyle-\frac{7}{2}[/tex] (Answer)
Hope you find it helpful.
Feel free to ask if you have any doubts.
[tex]\bf{-MistySparkles^**^*[/tex]
Am quite confused? how should I do this?
Answer:
32 is the answer
hope this help u
Algebra please help fast
Answer:
n = 20
Step-by-step explanation:
[tex]\frac{n+4}{6}[/tex] = 4
You need to get rid of the 6 in the denominator on the left hand side to make it easier to solve, so multiply both sides by 6. So you would get:
( [tex]\frac{n+4}{6}[/tex] ) × 6 = 4 × 6
n+4 = 24
Then just rearrange for n by subtracting 4 on both sides.
n+4 = 24
n= 24-4
n=20
Answer:
10/3
Step-by-step explanation:
1. Divide:
[tex]\frac{n+4}{6}=4[/tex]
[tex]\frac{n+2}{3} =4[/tex]
2. Subtract [tex]\frac{2}{3}[/tex] from both sides of the equation
3. simplify
Answer: N = [tex]\frac{10}{3}[/tex]
A grain silo has a cylindrical shape. Its diameter is 15 ft, and its height is 38 ft. What is the volume of the silo?
Use the value 3.14 for л, and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.
Answer:
Volume of the silo is 7772 cubic ft.
How can you a tell when a graph is increasing
Answer:
A graph increases when the line or bar is goi g up.
Sophie can type 128 words in 3 minutes. How many minutes will it take her to type 576 words?
Answer:
It will take her 13 and a half minutes to type 576 words.
Step-by-step explanation:
To solve this problem, we must write a proportion.
Okay, so we know that 128 words equal 3 minutes. We also know that we need to figure out how long it would take to type 576 words.
[tex]\frac{Minutes}{Words} = \frac{3}{128} = \frac{?}{576}[/tex]
But how do we figure that out? Well, all we need to do is figure out how we got from 128 to 576, and then perform the same operation on the number three!
In order to do that, we divide 576 by 128, which gives us 4.5. So to get from 128 to 576, you multiply by 4.5. Now remember, in a proportion, you need to do the same thing to both the top and the bottom. Otherwise, you're changing the value.
So, we end up with this:
[tex]\frac{Minutes}{Words} = \frac{3}{128} * \frac{4.5}{4.5} = \frac{13.5}{576}[/tex]
Meaning that if she types 128 words in 3 minutes, then she can type 576 words in 13.5 minutes.
Hope this helps, and please don't forget to mark Brainliest!
The populations of Siberian tigers and narwhals since 1990 are represented by the following tables:
Determine whether the data described in the tables is best modeled by a linear function or an exponential function.
The data described in the tables is best modeled by a linear function or an exponential function
For Tigers, best model will be exponential function
For Narwhals , best model will be linear function
What are functions?Function is a relation between a set of inputs and a set of outputs which are permissible. In a function, for particular values of x we will get only a single image in y. It is denoted by f(x).
Vertical line test:-
Whenever we want to check whether a given expression is a function or not we can apply a vertical line test, in this test we check for a single image of x , we are getting a single image or more.
If we get more images then it will not be a function.
For example, let us take, y² = 4ax
y = ±√4ax
For single value of x we get two values of y
Hence, it will not be a function.
Given that,
Two data-sets for the number of tigers and the number of Narwhals
First take data of tigers,
Lets check whether it is satisfies the condition of linear function or not
y = mx + c
x = 0, y = 1204
1204 = m0 + c
c = 1204
y = mx + 12-04
when, x = 3 , y = 1050
1050 = 3m + 1205
m = -155/3
If it holds a linear relationship
then for x = 6, y should be 902
But is not a equal to 902
So, For this dataset exponential function will be best
Similarly, we can check for the second dataset
And it will satisfy the all the conditions of linear function
So, for the Narwhals linear function is best model
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HELP !!!!
What are the first five terms in the recursive
sequence defined by the following?
a1=1
a2
=1
On
= An-2 + On-1
Answer: Choice C
{1, 1, 2, 3, 5}
===============================================
We have
[tex]a_1 = 1\\a_2 = 1[/tex]
Showing the first two terms are 1,1.
The answer is between choices B and C because of this.
To get the nth term [tex]a_n[/tex], we add up the two previous terms before it [tex]a_{n-1}[/tex] and [tex]a_{n-2}[/tex]
So to get the third term [tex]a_3[/tex], we'll add up the first two terms
[tex]a_n = a_{n-2} + a_{n-1}\\\\a_3 = a_{3-2} + a_{3-1}\\\\a_3 = a_1 + a_2\\\\a_3 = 1 + 1\\\\a_3 = 2[/tex]
The third term is therefore 2.
The sequence so far is {1,1,2} which matches with the first three terms of choice C.
Then we can say:
[tex]a_4 = a_2 + a_3\\\\a_4 = 1+2\\\\a_4 = 3[/tex]
Further confirming the answer. I'll let you check the next set of terms.
For more information, check out the Fibonacci numbers.
Let v = ⟨-5, 12⟩. What is the approximate direction angle of v?
23°
67°
113°
157°
Answer:
C) 113°
Step-by-step explanation:
The direction angle for a position vector [tex]v=\langle x,y\rangle[/tex] is [tex]\alpha=tan^{-1}(\frac{y}{x})[/tex] plus a correction based on the quadrant (more on that later).
Hence:
[tex]\theta=tan^{-1}(\frac{y}{x})\\\\\theta=tan^{-1}(\frac{12}{-5})\\\\\theta\approx-67.38^\circ[/tex]
We are not done here, however, as we need to account for which quadrant the vector is located in. Since v=⟨-5, 12⟩ is located in Quadrant II, then the direction angle must also be in Quadrant II.
Therefore, we use the formula [tex]\theta=180+\alpha[/tex] to account for this:
[tex]\theta=180^\circ+\alpha\\\theta=180^\circ+(-67.38^\circ)\\\theta=180^\circ-67.38^\circ\\\theta=112.62^\circ\\\theta\approx113^\circ[/tex]
Answer:
It's C
Step-by-step explanation:
When Jennifer purchases her house, she pays a 3% realtor commission for the $1800,000 loan amount. How much commission did Jennifer pay at closing
Answer:
$54,000
Step-by-step explanation:
1,800,000 - 3% =
1,746,000
1,800,000 - 1,746,000 =
54,000
Jennifer paid $54,000 commission fee
Jennifer paid $54000 commission at closing.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given:
When Jennifer purchases her house, she pays a 3% realtor commission for the $1800,000 loan amount.
That means,
she paid = 1800000 x 3/100
Jennifer paid at closing = 54000
Therefore, Jennifer paid $54000.
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(PLEASE HELP) A local newspaper charges g dollars for a four-line classified ad. Each additional line costs d dollars. Write an expression for the cost of a seven-line ad.
Answer:
g + 3d
Step-by-step explanation:
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An expression for the cost of a seven-line ad is g + 3d.
What is an expression?One mathematical expression makes up a term. It might be a single variable (a letter), a single number (positive or negative), or a number of variables multiplied but never added or subtracted. Variables in certain words have a number in front of them. A coefficient is a number used before a phrase.
Given:
A local newspaper charges g dollars for a four-line classified ad.
Each additional line costs d dollars.
An expression for the cost of a seven-line ad is,
= g + 3d
Therefore, the expression is g + 3d.
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A line passes through the points
(-1, 4) line? and (2, -2). What is the equation of this
Answer:
Equation: y = -2x + 2
Step-by-step explanation:
given coordinates: (-1, 4) , (2, -2)
Find the slope: (y2-y1)/(x2-x1)
: (-2-4)/(2--1)
: -6/3
: -2 ...........this is the slope,(m) of the line
Find equation using: y - y1 = m ( x - x1 )
: y - 4 = -2 ( x - -1)
: y - 4 = -2x -2
: y = -2x + 2
Translate the following verbal statement into an algebraic equation and then solve:Damien bought a bookcase on sale for $190, which was one-third of the original price. What was the original price of the bookcase?
Answer:
(190*3)=x
x being the original price
x÷3=190
x=570 is the original price
Bert and Ernie are looking at their paper clip collections. Bert has 5 paper clips for every 3 paper clips that Ernie has. If Bert gives Ernie 12 paper clips, they will have the same number of paper clips. How many paper clips did Bert have before he gave away any to Ernie?.
Answer:
He has 60 paper clips before giving some away.
Step-by-step explanation:
Before : 5x : 3x
After: 5x - 12 = 3x + 12
5x - 12 = 3x + 12
First, we need to take away the smallest value of x from the largest.
-3x
2x - 12 = 12
Then, we need to add +12 to get rid of -12 on the lefthand side.
2x = 24
Divide by 2 to get x on its own.
x = 12
Bert had 5x so we need to multiply x (what we found as 12) by 5. 12 x 5 = 60. Bert had 60 paper clips before he gave some away.
We can prove this answer as correct, too.
5 x 12 = 60
3 x 12 = 36
60 - 12 = 36 + 12
48 = 48
Hope this helps, have a good day. :D
What is X equal to? It’s not 90 degrees.
Answer:
x = 3
Step-by-step explanation:
(66) + (8x) = 90
x = 3
hope this helps!!!
Answer:
x = 3
Step-by-step explanation:
These are complementary angles, which means that the angles added up together should equal 90°. So...
8x + 66 = 90 (Solve for x) (Subtract 66 from both sides to get x on one side)
8x = 24 (divide both sides by 8 to get x by itself)
x = 3
Trigonometry Question please help its confusing for me i would like it if you could explain how to find missing angles and sides
Answer:
sinQ=14/50
sinR=48/50
cosQ=48/50
cosR =14/50
tanQ=14/48
tanR=48/14
Answer:
Step-by-step explanation:
Hypotenuse(h)=50
For Q
Perpendicular(p)=14
Base(b)=48
→SinQ=p/h=14/50=7/25
→CosQ=b/h=48/50=24/25
→TanQ=p/b=14/48=7/24
For R
Perpendicular(p)=48
Base(b)=14
→SinR=p/h=48/50=24/25
→CosR=b/h=14/50=7/25
→TanR=p/b=48/14=24/7
. Ben sells appliances in a large department store. He makes a weekly salary plus 3% on sales. One
week he sold $3200 worth of appliances and received a total of $471 for the week. How much was
his regular weekly salary?
Write a linear expression in
simplest form to represent the
perimeter of the pentagon.
Then find the perimeter if the
value of x is 3 yards.
Answer:
Step-by-step explanation:
P = 5x
P = 5(3) = 15
What is the solution of the system of equations that contains the equation minus 3 x minus 9 y equal 18 and the equation of the line shown on the graph below?
Answer:
Infinite solutionsStep-by-step explanation:
Given equation of the line:
- 3x - 9y = 18Use two points from the graph of the second line to find its equation:
(- 6, 0) and (0, - 2)Use double intercept form to find the equation:
x/a + y/b = 1x/ (-6) + y/(- 2) = 12x + 6y = - 12Now we have the system, solve it by elimination.
Multiply the first equation by 2 and the second equation by 3 and add up:
2(- 3x - 9y) + 3(2x + 6y) = 2*18 + 3*(- 12)-6x - 18y + 6x + 18y = 36 - 360 = 0All terms are cancelled, it means the equations are same, the lines overlap and there is infinite number of solutions.
PLS HELP HURRY NEED rigGHT ANWSER
Answer:
(3, -4)
Step-by-step explanation:
Lines are intersecting at points (3, -4).
So, the solution of the given system of equations is (3, -4).
Hope it helps you in your learning process.
find e (circle theorems)
The value of e in the diagram is 71 degree
Alternate segmentAngles in alternate segment are equal. The angle between the tangent and the side of the triangle is equal tot the opposite interior angle.
Therefore,
∠e = ∠PQR∠TPQ = 19°
∠QPR = 180 / 2 = 90° (angle at the centre is double the angle at the circumference)
Therefore,
19 + 90 + e = 180109 + e = 180
e =180 - 109
e = 71°
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The total cost of a teapot and teacups
is $250. The teapot costs $40. Each
teacup costs $10. Write an equation to
find the total number of tea cups
bought
Answer:
$40 + $10x = $250
Step-by-step explanation:
$40 represents the total cost of one teapot, $10x represents the cost of each individual teacup we buy, and we set that equation equal to $250 since that is the total cost.
$40 + $10x = $250
a bubble solution contains 3/4 cup of corn starch for every 2 cups water. What is the rate in cups of corn starch per cup of water? PLEASE HELP ASAP I WILL GIVE BRAINLIEST!
A. 3/8
B. 2/3
C. 1 1/2
D. 2 2/3
Answer:
3/8 cup of corn starch per cup of water
Step-by-step explanation:
hope dis help
A total of 551 tickets were sold for the school play. They were either adult tickets or student tickets. There were 51 more student tickets sold than adult tickets.
How many adult tickets were sold?
Answer: 268 tickets
Step-by-step explanation:
Let x be the number of Adult tickets
551 = 15 + x + x
551 = 15 + 2x
536 = 2x
268 = x
Hope this helps!
268 tickets, adult tickets were sold.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal. For instance, 3x + 5 = 14 is an equation, in which 3x + 5 and 14 are two expressions separated by an 'equal' sign.
here, we have,
A total of 551 tickets were sold for the school play.
They were either adult tickets or student tickets.
There were 51 more student tickets sold than adult tickets.
Let x be the number of Adult tickets
551 = 15 + x + x
551 = 15 + 2x
536 = 2x
268 = x
hence, 268 tickets, adult tickets were sold.
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An artist can create 4 pieces of pottery in 2 hours? What is the artist's unit rate?
Answer:
2/1 or 2 per hour
Step-by-step explanation:
divide 4 by 2 and make it a fraction like thing
Answer:
[tex](Number\ of\ Hours) / (Total\ Pottery\ Pieces)[/tex]
[tex](2\ hours) / (4\ pieces)[/tex]
[tex]0.5\ hours\ per\ piece[/tex]
The artist makes a potter piece in 30 minutes or 0.5 hours
