Jane's garden is 3.4 meters by 6.5 meters. If fencing costs $2.25 per meter, how much will it cost to put fence around her garden?
A quadrilateral has coordinates of (-4,3), (-3,8). (2,5), and (1, -7).
Enter the perimeter of this quadrilateral rounded to the nearest whole unit.
Answer:
The perimeter of a quadrilateral will be equal to the addition of the length of each side of the quadrilateral.
Here we only have the vertices of the quadrilateral, and to calculate the length of the sides, first we need to plot the points in a graph and see which pairs make the quadrilateral.
You can see the image below, where i did a rough sketch of the problem.
in the image, you can see that the sides of this rectangle are the ones formed by the pairs:
(-4,3) and (-2, 8)
(-2, 8) and (2, 5)
(2,5 ) and (1, -7)
(1, - 7) and (-4, 3)
Now let's calculate the length of each side.
Remember that when we have two points (a, b) and (c, d) the distance is:
D = √( (a - c)^2 + (b - d)^2)
Now we need to calculate four distances:
(-4,3) and (-2, 8)
D1 = √( (-4 + 2)^2 + (3 - 8)^2) = 5.39
(-2, 8) and (2, 5)
D2 = √( (-2 - 2)^2 + (8 - 5)^2) = 5
(2,5 ) and (1, -7)
D3 = √( (2 - 1)^2 + (5 + 7)^2) = 12.04
(1, - 7) and (-4, 3)
D4 = √( (1 +4)^2 + (-7 -3)^2) = 11.18
Now we add those four distances to get the perimeter:
P = 5.39 + 5 + 12.04 + 11.18 = 33.61
And we want to round it to the next whole number, because the first digit after the decimal point is larger than 5, we round up, and get:
p = 37
Bus A and Bus B leave the bus depot at 9 am. Bus A takes 30 minutes to complete its route once and bus B takes 40 minutes to complete its route once. If both buses continue to repeat their route, at what time will they be back at the bus depot together?
Answer:
11 am
Step-by-step explanation:
Bus A and Bus B leave the bus depot at 9 am.
Bus A takes 30 minutes to complete its route once
Bus B takes 40 minutes to complete its route once.
We solve this finding the Lowest Common Multiple of the minutes each bus uses to complete it's route
30 = 3 × 10
40 = 4 × 10
= 3 × 4 × 10
= 120 minutes
120 minutes after 9 am is
60 minutes = 1 hour
60 minutes = 1 hour
= 2 hours.
9am + 2 hours
= 11 am.
Therefore, they be back at the bus depot together at 11 am
338 points in 16 games. how many points did they make per game?
For a given recipe, 12 cups of flour are mixed with 24 cups of sugar. How many cups of sugar should be used if 21 cups of flour are used?
Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x. PLEASE ANSWER THIS QUICK
Answer:
33 cups of sugar should be used
Step-by-step explanation:
subtract 12 from 21 then add that answer to 24 and you get 33 so 33 cups of sugar should be used
42 cups of sugar should be used if 21 cups of flour are used
What is Ratio?A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
Given,
For a given recipe, 12 cups of flour are mixed with 24 cups of sugar
We need to find cups of sugar should be used if 21 cups of flour are used
Let us consider x as cups of sugar should be used if 21 cups of flour are used
Let us form an equation to find x
12/24=21/x
Apply cross multiplication
12x=21×24
12x=504
Divide both sides by 12
x=504/12
x=42
Hence, 42 cups of sugar should be used if 21 cups of flour are used
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someone please help me with this! please write out the steps as well, thank you!
Answer:
60°
140°
Step-by-step explanation:
From the given figures,
a. we use the concept of alternate angles.
Two parallel lines cut by a transversal will have equal alternate angles;
So;
6x + 12 = 7x + 4
collect like terms and solve for x;
6x - 7x = 4 - 12
-x = -8
x = 8
Now, 6x + 12 = 6(8) + 12
= 48 + 12
= 60°
b. Here we use alternate angles and angles on a line;
4x is an alternate angle to that angle to the left of 13x + 10
And sum of angles on a line = 180
4x + 13x + 10 = 180
17x = 170
x = 10
Now, 13x + 10 = 13(10) + 10 = 140°
NEED HELP ASAP!
p:Memorial Day is in July q:Parallel lines never
intersect
Which represents the symbolic notation of the compound statement below?
“Memorial Day is in July or parallel lines intersect.”
Answer:
Option (C)
Step-by-step explanation:
Two statements given in the question are,
p: Memorial Day is in July
q: Parallel lines never intersect
We have to tell the represent the symbolic notation of the compound statement,
"Memorial Day is in July or parallel lines intersect"
Here word 'Or' is combining these statements.
We know word 'Or' means Disjunction which is denoted by the symbol (∨).
So the compound statement will be denoted by p ∨ q.
Option (C) will be the answer.
Jenny is tracking the monthly sales totals for her boutique. The given piecewise function represents the boutique's monthly sales, in dollars,
where x represents the number of months since Jenny began tracking the data.
0 < I<3
f(0) =
100.5 + 5,024
3
-12 + 53 +5,630, 6
(4,000(1.1)",
What were the boutique's monthly sales when Jenny first began tracking the data?
A
$4,000
В.
$5.324
C. $5,616
D. $4,400
Answer:
It's A.
Step-by-step explanation:
I just did it on edmentum (plato)
hope this helps!!
vote brainliest if it did!
:))))
The boutique's monthly sales when Jenny first began tracking the data is 4000
What is piecewise function?
A function which is defined by multiple sub-functions, each sub-function applying to a certain interval of the main function's domain (a sub-domain).
Given:
According to given function we can say that there x represent the number of month.
So, if jenny begin tracking the data then jenny spend 0 month on working
Thus, we will use the function
f(x)= 4000*(1.1)^x
f(x)= 4000*(1.1)^0
f(x)= 4000
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Explain why (4, 1) is not a solution to the equation y=3x+1
Please help me! I will mark brainliest!! <3
In (4, 1) 4 represents x, and 1 represents y
y = 3x + 1
1 = 3(4)+1
1 = 12 + 1
1 ≠ 13 ← sides are not equal so (4, 1) is not a solution to y=3x+1
Hiiiii.
How are you?
I like to be Friends.
Please help:( I’ll mark brianly
Answer:13.D 14.C
Step-by-step explanation:
Whats the answer? I will give brainliest if correct♡︎ꨄシ
Answer:
b isnt a fuction
Step-by-step explanation:
Answer:B
Step-by-step explanation:
-1+10x^3+x^2
−1+10x
3
+x
2
Answer:
=20x3+2x2−2
Step-by-step explanation:
Let's simplify step-by-step.
−1+10x3+x2−1+10x3+x2
=−1+10x3+x2+−1+10x3+x2
Combine Like Terms:
=−1+10x3+x2+−1+10x3+x2
=(10x3+10x3)+(x2+x2)+(−1+−1)
=20x3+2x2+−2
Write the sentence as an inequality. A number x is less than 7 and greater than 3
The inequality as per the given statement will be equal to 3 < x < 7.
What is inequality?Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.
As per the information in the question,
Let the number is x.
x is less than 7.
x < 7 and,
x is greater than 3,
So, x > 3
So, it can be written in combined form as:
3 < x < 7
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Resolve the following equations
3x+4=2
Dianne drew a triangle with coordinates (1,3), (3,2) and (4,2) she drew an image of the triangle with coordinates (21,3) ,(23,2) and (24,2) how did she make the image
Answer:
i
Step-by-step explanation:
dk
PLZ HELP ME ASAP!!!
Which of the following is equivalent to the ratio of 14 minutes to 62 minutes?
1. 1 : 3
2. 7 : 31
3. 1 : 9
4. 7 : 40
Answer:
2. 7 : 31
Step-by-step explanation:
7 * 2 = 14
31 * 2 = 62
7 : 31
14 : 62
What is the equation of the line described below written in slope-intercept form? the line passing through point (2,4), parallel to the line whose equation is y = x
A. y=x + 2
B. y = -x + 2
C. y=-X
Answer:
y = x + 2
Step-by-step explanation:
Write an equation of a line in slope-intercept form, which is passing through the point (8, −6) and is parallel to another line, whose slope is −2
Answer:
y=-2x+10
Step-by-step explanation:
slope intercept is written as y=mx+b
the slope or m is -2 and using the slope we can calculate a y-intercept or b of 10.
hope this helps!
Answer:
y=-2x+10
Step-by-step explanation:
Hello there!
First the equation of a line is y=mx+b (m is the slope and b is the y-intercept)
Plugging in the formula, the problem already gives you the slope, which is -2, so y=-2x+b
Next, we have to find the y-intercept! We have a pair, (8,-6), so we can plug that into the current equation we have:
-6 = -2*8 + b
-6 = -16 + b
(add 16 to both sides)
10 = b (or b=10)
Now that we have all of the parts we need, our answer will be y=-2x+10
Hope this helped!
240 projects in 15 days =
projects per day
Answer:
Step-by-step explanation:
240/15 is 16 projects per day
Answer:
16 projects per day
Step-by-step explanation:
Take the number of projects and divide by the number of days
240/15
16 projects per day
There are two different maps of California. The scale on the first map is 1 cm to 20 km. The distance from Fresno to SanFrancisco is 15 cm.The scale on the second map is 1 cm to 100 km.What is the distance from Fresno to San Francisco on the second map? Explain your reasoning.b
Answer:
1500km
Step-by-step explanation:
1cm=100km
15•100=1500km
Can somebody please help?
Answer:
1. real number, irrational number
2. rational number, real number
Which one?
A. B. C. or D?
The answer is to the question is c.11
The City Zoo feeds its three giant pandas 181.5 pounds of bamboo shoots every day. Each panda is fed the same amount of bamboo. How many pounds of bamboo does each panda eat every day?
Group of answer choices
605 pounds
61.5 pounds
60.5 pounds
6.05 pounds
Answer:
60.5 pounds
Step-by-step explanation:
The total amount of pound is 181.5
And there are three pandas.
So 181.5 divide by 3 is 60.5
I have 4 and 11/12 . how much do i need to add to get 6 and 1/2
Answer:
= 1 7/12
Step-by-step explanation:
6 1/2 - 4 11/12 =
6 6/12 - 4 11/12 =
5 18/12 - 4 11/12 =
=1 7/12
To check if the answer is right or wrong, you can add 1 7/12 to 4 11/12
4 11/12 + 1 7/12 = 5 18/12 = 6 6/12 = 6 1/2
Hope this helps and pls do mark me brainliest if you can:)
I really need help with this
Answer:
Did this help??
Step-by-step explanation:
a.) 5x = m
5x = you and four friends.
m = money for food
b.) Plug in
5(5.25) = m
26.25 = m
How many solutions does the equation 4x +2(x-5)=3(2x-4) have?
Answer:
no solutions
Step-by-step explanation:
Given
4x + 2(x - 5) = 3(2x - 4) ← distribute parenthesis on both sides
4x + 2x - 10 = 6x - 12
6x - 10 = 6x - 12 ( add 10 to both sides )
6x = 6x - 2 ( subtract 6x from both sides )
0 = - 2 ← not possible
This indicates the equation has no solution
OMG i dont remember to find square roots
can someone please explain why 5√ 5 is equal to √ 125
15 pts and brainliest!
Answer:
5
Step-by-step explanation:
√125 / 5= √25 since 125 / 5 =25
√25 = 5
Answer:
5x25
Step-by-step explanation:
since its 5 you multiply it by 5 and then multiply why you got to another 5
−8 1/4+3 1/4
The "1/4" counts as a fraction. :)
Please help!!
please help find the slope!!
Answer:
undefined
Step-by-step explanation:
I don't know if it's correct or not. But hope it is
Answer:
-7
Step-by-step explanation:
The slope is y/x and y in this case equals -7 while x is +1 so it's -7/1 or just -7
The football team scored 128 total points last season. This year they scored 144 total points. What is the percent of change?
Answer:
88%.
Step-by-step explanation:
Answer:
12.5% increase
Step-by-step explanation:
Take the difference in points
144-128 = 16
And divide by the original number of points
16/128 =.125
Change to percent form
12.5%
Since the points went up it is an increase
12.5% increase