Step-by-step explanation:
Let n be the number of caterpillars.
Since each catepillar eats 7 leaves,
Wesley have 7n number of leaves.
In this case 7n = 42, so n = 6.
Answer: 7n = 42, n = 6.
Explanation:
Every caterpillar eats 7 milkweed leaves. That means [tex]n[/tex] is the number of caterpillars Wesley feeds every day. Since we know 7n is equal to 42, n = 6 because 42 ÷ 7 = 6.
Casey wants to buy a gym membership. One gym has a $248 joining fee and costs $27 per month. Another gym has no joining fee and costs $58 per month. In how many months will both gym memberships cost the same? What will that cost be?
Answer:
In 8 months both gym memberships will cost the same and that cost will be $464
Step-by-step explanation:
Linear Models
To compare two gym memberships, we can help Casey to form one model for each gym.
One of them charges a $248 joining fee plus $27 per month. The model for this gym is:
G1 = 27m + 248
Where m is the number of months.
The other gym has no joining fee but charges $58 per month. It's model is:
G2 = 58m
The number of months where both gyms end up charging the same can be found by equating G1 = G2, or equivalently:
27m + 248 = 58m
Subtracting 27m and swapping the equation:
58m - 27m = 248
Simplifying:
31m = 248
Solving:
m = 248/31
m = 8
When m=8, both gyms charge the same:
G1 =27*8 + 248= $464
G2 = 58*8 = $464
Thus, in 8 months both gym memberships will cost the same and that cost will be $464
Plz help me I need this in less than a hour :<
Which point is a solution to this system of inequalities?
y ≤1/2x-3
y+2x greater than 6
A) (7,-8)
B) (2,-3)
C) (5,-2)
D)(4,1)
The point is a solution to this system of inequalities y ≤1/2x-3 and y+2x greater than 6 are B) (2,- 3) and D) (4,1).
To track down the answer for the arrangement of imbalances y ≤ 1/2x - 3 and y + 2x > 6, we want to test each answer decision to check whether it fulfills the two disparities.
A) (7,- 8):
y ≤ 1/2(7) - 3 = 0.5
y + 2(7) > 6
This point doesn't fulfill the primary imbalance, so it's anything but an answer.
B) (2,- 3):
y ≤ 1/2(2) - 3 = - 2
y + 2(2) > 6
This point fulfills the two imbalances, so it is an answer.
C) (5,- 2):
y ≤ 1/2(5) - 3 = - 0.5
y + 2(5) > 6
This point doesn't fulfill the main imbalance, so it's anything but an answer.
D) (4,1):
y ≤ 1/2(4) - 3 = - 1
y + 2(4) > 6
This point fulfills the two imbalances, so it is an answer.
Accordingly, the answers for the arrangement of imbalances are B) (2,- 3) and D) (4,1).
To track down the answer for the arrangement of disparities y ≤ 1/2x - 3 and y + 2x > 6, we really want to test each answer decision to check whether it fulfills the two imbalances. Just response decisions B) (2,- 3) and D) (4,1) fulfill the two imbalances, making them the arrangements.
To learn more about inequalities, refer:
https://brainly.com/question/28895822
#SPJ1
Help geometry select all lines that could be the image of line m after a dilation
Answer:
The lines that could be the image of line m after a dilation are;
C. n
E. p
Step-by-step explanation:
A dilation is the operation performed on a geometric figure, that involves the uniform enlargement or uniform shrinking of the figure from a given center of dilation, such that the shape of the figure, which can be a line segment, a polygon, or a point on the coordinate plane
From the given options, the lines l and consists of rotation of the line m and are therefore not purely dilations of the line m
Dilation Is the process of increasing or decreasing a figure by a scale factor..The line n and p is the image of the line m after the dilation.
Given informationThere are total 5 lines are given in the image shown.
DilationDilation Is the process of increasing or decreasing a figure by a scale factor. When the lines are shorter or longer with the ratio of the original line then it is called the dilation of the line.
The center point of the dilation must be same for the original line and the dilated line.
For the given figure there are total 5 lines are given. Lets check all one by one,
Line l- Line is tilted and not dilated to the line m.Line n- Line n is parallel to the line m and similar to the line m.Line o- Line o is tilled with a large angle compare to the line m.Line p- Line p is shorter than the line p. The line m is decreased with some scale factor with common center point.Thus the line n and p is the image of the line m after the dilation.
Lean more about the dilation here;
https://brainly.com/question/2856466
I’ll mark you brainlist I’ll mark you brainlist
Answer:
-2
Step-by-step explanation:
:)
b) y = x2 - 10
d) y = x3 - 9
f) y = (x - 2)2
h) y = (2x + 3)
If AABC = ADEC,
ZB = 2x, ZC = 48°, and ZD = 740
A
D
00
E
x = [?]
Answer:
x=29
Step-by-step explanation:
i believe this is the most recent question to which you requested an answer. Well here you go.
The angle at D equal to the angle at A
If so,the
2x+48+74=180
2x+122°=180°
2x=180°-122°
2x=58°
x=58/2=29
One of the base angles of an isosceles triangle is 40°. Which is the triangle classification according to its
angles?
A. acute
B. right
C! obtuse
D. equiangular
Please help
Answer:
C. Obtuse
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPP T^T PLEASE ANSWER!!!!
Answer:
7 miles per hour.
Step-by-step explanation:
Right now, the relationship in the problem represents 3[tex]\frac{1}{2}[/tex] miles in hours. To find out what the unit rate is (number of miles per mile), we need to multiply both sides of the equation show BeLoW:
3[tex]\frac{1}{2}[/tex] = [tex]\frac{1}{2}[/tex]
7 miles = 1 hour
Therefore, Doug's average speed in miles per hour is 7 (7 miles per hour).
:3))
A weather balloon is dropping at a rate of 4/3 miles per hour from an
initial height of 2 miles. If the balloon's height were graphed as a functio
of time, what would be the x-intercept?
Which expression is equivalent to (+12)×5+7 ?
A. 12+60
B. 12+12
C. 5+67
D. 5+12
Whats the answer to 4x-5=2-x asap
Answer:
x=1.4
Step-by-step explanation:
how do you solve 2 - 2n = 3n + 17
Final Answer: [tex]n = -3[/tex]
Steps/Reasons/Explanation:
Question: How do you solve [tex]2 - 2n = 3n + 17[/tex]?
Step 1: Subtract [tex]2[/tex] from both sides.
[tex]-2n = 3n + 17 - 2[/tex]
Step 2: Simplify [tex]3n + 17 - 2[/tex] to [tex]3n + 15[/tex].
[tex]-2n = 3n + 15[/tex]
Step 3: Subtract [tex]3n[/tex] from both sides.
[tex]-2n - 3n = 15[/tex]
Step 4: Simplify [tex]-2n - 3n[/tex] to [tex]-5n[/tex].
[tex]-5n = 15[/tex]
Step 5: Divide both sides by [tex]-5[/tex].
[tex]n = -\frac{15}{5}[/tex]
Step 6: Simplify [tex]-\frac{15}{5}[/tex] to [tex]-3[/tex].
[tex]n = -3[/tex]
~I hope I helped you :)~
I need help please!!
Answer:
The domain is x ≥ − 2 and the range is AllRealNumbers
Step-by-step explanation:
Alrighty, first of all, the domain is the number or amount of x coordinates in the function. The range is the number or amount of y coordinates in the function. As we can see, the x coordinates stretch out towards the right starting from -2. We can include -2, so the domain would be x ≥ − 2. The range would be AllRealNumbers because it streches out infinitely both upwards and downwards.
25 points! pls show work if can!!!!!!!!
Answer:
A.2.4 pounds
B.7 oranges
Step-by-step explanation:
Please help and give details :)
7x+4y-28=0 is the answer
What is the solution to the inequality?
1/4+x <5/6
A. x< 7/12
B. x> 7/12
C. x< 1 1/12
D.x > 1 1/12
Answer:
A x<7/12 hope this helps
ana runs a merchandiser store. she wants to buy 500 notebooks for her store. she will get 300 notebooks for $2500. the next 200 notebooks are for $4 per notebook. if the total cost for notebook is $3300 and 12%discount is given then the total cost for notebooks is
Answer:
5000
Step-by-step explanation:
i worked the problem out and got 100%
if the circumference of the greatest circle of a sphere is
[tex]\pi \: cm \: find \: its \: volume[/tex]
Answer:
hlo buddy
Step-by-step explanation:
The formula for the volume of a sphere is V = 4/3 πr³.
Penelope leaves her house. For eight minutes, she drives to the store at a rate of one block per minute. Then, she stops for five minutes to shop in the store. Finally, she drives back to her house at a rate of four blocks every three minutes. Write the equation to model Penelope's trip to the store.
Answer:
T = 8 + 5 + 6
Step-by-step explanation:
Since it took Penelope 8 minutes to drive to the store at a rate of 1 block per minute then that means the store was 8 blocks away. That being the case if she drives back home from the store at 4 blocks every 3 minutes that would mean that she took 6 minutes (4+4 = 8) to get back home. Using this data we can create the following equation model to calculate the total time of the trip.
T = 8 + 5 + 6
The scale from an actual triangle to the drawing at the right is 30 to 1 the scale from the same triangle to Georges drawing of the triangle is 10 to 1 is this drawing or Georges drawing larger explain your answer
Answer:
Georges drawing is larger.
Step-by-step explanation:
A scale is a representative fraction that can be used to either increase or decrease the dimensions of a given object. It can either be; reduced or enlarged.
From the given question, both scales are enlarged scale. But,
the scale from the actual triangle to the drawing = 30:1
This implies that every measure of 30 on the drawing is 1 of the actual. So that a measure of 120 on the drawing equals 4 on the actual.
Georges' scale = 10:1
This implies that every 10 measure equal 1 of the actual. So that a measure of 120 on the drawing is 12 on the actual.
Therefore, Georges drawing is larger.
Determine the scale factor for A ABC to A A'B'C'.
C
С
8 cm
4 cm
O A. 4
B. 8
C. 2
OD.
2
Answer:C 2
Step-by-step explanation:
What do you call a cow with no legs?
BRAINLIEST IF YOU CAN TELL ME WHO THE GOAT IN BASKETBALL IS
15 POINTS
Answer:
a burger
Step-by-step explanation:
because the cow is made into a burger lol
Yolanda, Carlos, and Keith have a total of $68 in their wallets. Keith has $8 less than Yolanda. Carlos has 2 times what Keith has. How much do they have in their wallets?
Answer:
Keith: 15, Carlos: 30, Yolanda: 23
Step-by-step explanation:
Let x be the amount of money Keith has. Then Yolanda has x+8 money and Carlos has 2x money. These all add up to 68.
x+(x+8)+2x=68
4x+8=68
4x=60
x=15
x represents how much money Keith has.
So Keith has 15 dollars, Carlos has 30 dollars, and Yolanda has 23 dollars.
What value(s) of x in the relation below would
create a set of ordered pairs that is not a function?
Justify your answer.
{(0, 5) (1, 5) (2, 6) (x, 7)}
3 Answers: x = 0, x = 1, or x = 2
==================================================
Explanation:
The relation
{(0, 5) (1, 5) (2, 6) (x, 7)}
has points with x coordinates of: 0, 1, 2, and x.
If we repeated any of the x values listed so far, then we will not have a function.
So if we had the points (0,5) and (0,7), then the input x = 0 leads to multiple outputs. A function is only possible when any input x leads to exactly one output y.
This means that if x = 0, 1, or 2, then we won't have a function.
Side note: The y values can repeat, but if they do, then we won't have a one-to-one function. In this case, y = 5 repeats, so this function is not one-to-one (assuming x is not 0, not 1, and not 2).
A blindfolded contestant makes a random selection from a bag
that contains white, red, green, and yellow marbles at a carnival
booth. The bag contains 12 marbles in total. Use the following
clues to determine how many marbles of each color are in
the bag.
Clue 1: P(white) Plyellow) = P(green)
Clue 2: Of 40 players, 10 are expected to select a white marble.
Clue 3: If 2 green marbles are removed from the bag, then P(red) = 1/5
Answer:
D
Step-by-step explanation:
There are 4 colors to choose from, so use numbers 1-4 to represent each color.
I NEED HELP ASAP PLEASE HURRY
Marc wants to buy a bestselling book and a DVD of the movie based on the book. He has $30 to spend. Find the estimated total cost of the two items by rounding their prices to the nearest dollar. Will Marc be able to purchase both items with the money he has?
Prices, including taxes: Book: $10.58 and DVD: $19.50
The estimated total to the nearest dollar is $29, so he can afford both items.
The estimated total to the nearest dollar is $31, so he can afford both items.
The estimated total to the nearest dollar is $29, so he cannot afford both items.
The estimated total to the nearest dollar is $31, so he cannot afford both items.
Answer:
The estimated total to the nearest dollar is $31, so he cannot afford both items.
Step-by-step explanation:
10.58 rounded is 11
19.50 rounded is 20
11+20=31
Answer:
I think it would be last one. Based on the idea that 10.58 would round up to 11.00, and the DVD would add up to 20.oo
that would equal 31.00, and he only has 30.00 to spend.
So I would say D.
Step-by-step explanation:
Jana has a sandbox that is 4 1/2 feet long, 5 feet wide, and 1/2 foot deep. How many cubic feet of sand does she need to fill the sandbox completely.
Answer:
She needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.
Step-by-step explanation:
length = [tex]l[/tex]= [tex]4\frac{1}{2}=\frac{9}{2}=4.5[/tex] feet
width = [tex]w=[/tex] 5 feet
depth = [tex]h=\frac{1}{2}=0.5[/tex] feet
Sandbox is just like a rectangular prism. In order to fill the sandbox completely, we need to determine the volume.
Thus, the formula to find the volume of a rectangular prism can be computed using the formula
[tex]V\:=\:l\:\times \:w\:\times \:h[/tex]
[tex]V=4\frac{1}{2}\times 5\times \frac{1}{2}[/tex]
[tex]=\frac{9}{2}\times \:\:5\times \:\frac{1}{2}[/tex]
[tex]=\frac{45}{2\times \:2}[/tex]
[tex]=11\frac{1}{4}[/tex] ft³
Thus, she needs to fill [tex]11\frac{1}{4}[/tex] ft³ in order to fill the sandbox completely.
Please help me!!! Pick the correct answer choices!!!
Answer:
1.C
2.A
Step-by-step explanation:
hope this helps. {ps please give brainliest :)}
a piece of licorice is to be cut into 10 equal size pieces. if the length of the piece of licorice is 2/3 yard, how long will each piece of licorice be?