The shortest side is 22 meters in the mentioned quadrilateral.
Let us assume the length of first side be x. So, the other three sides of length will be (x + 1), (x + 2) and (x + 3). The perimeter is sum of all sides of the quadrilateral.
Keep the values in the formula of perimeter -
94 = x + x + 1 + x + 2 + x + 3
Performing addition on Right Hand Side of the equation
94 = 4x + 6
Shifting 6 to other side of the equation
4x = 94 - 6
Performing subtraction on Right Hand Side of the equation
4x = 88
Shifting 4 to Right Hand Side of the equation
x = 88 ÷ 4
Performing division
x = 22
Thus, the shortest side of quadrilateral is 22 meters long.
Learn more about quadrilateral -
https://brainly.com/question/23935806
#SPJ9
Diana severs breakfast to two groups of children at a daycare center. One box of Oaties contains 12 cups of cereal. She needs ⅓ cup for each younger child and ¾ cup for each older child. Is one box of Oaties enough for everyone
One box of oaties will be enough for two groups of children.
We can state the box of oaties is enough for everyone, if the amount required by number of children in each group is less than or equal to 12.
So, amount of cereal required by younger/older children = amount required by one child × number of children
Amount of cereal required by younger children = 1/3 × 11
Amount of cereal required by younger children = 11/3 cups of cereal
Amount of cereal required by older children = 3/4 × 10
Amount of cereal required by younger children = 15/2 cups of cereal
Amount of cereal = 12 - (11/3 + 15/2)
Taking LCM in the bracket, we get 6
Amount of cereal = 12 - (11×2 + 15×3/6)
Solving the bracket
Amount of cereal = 12 - (22 + 45/6)
Performing addition = 12 - (67/6)
Amount of cereal = (12×6 - 67)/6
Amount of cereal = 72 - 67/6
Performing subtraction in numerator
Amount of cereal = 5/6
As 5/6 cups of cereal is remaining, thus, a box of oaties will be enough for 11 younger children and 10 older children.
Learn more about fraction -
https://brainly.com/question/78672
#SPJ1
The complete question is -
Diane serves breakfast to two groups of children at a daycare center. One box of oaties contains 12 cups of cereal. She needs 1/3 cup for each younger child and 3/4 cup for each older child. Todays group includes 11 younger children and 10 older children. Is one box of oaties enough for everyone?
27
A student packs 18 tennis balls in 6 cans
containing an equal number of balls.
How many balls are there in each pack?
Answer:
There are 3 tennis balls in every can
Step-by-step explanation:
18/6 = 3
how do i do two step equations with variables and decimals
Desde un daro y una altura de 30 metros sobre el nivel del agua , se divisan dos barcos pesqueros . El ángulo de depresión al más sercano es de 8°; mientras al más lejano es de 5°, encuentra la distancia entre ambos barcos
Por medio de expresiones trigonométricas y el diagrama geométrico se concluye los dos barcos tienen una distancia aproximada de 129.441 metros.
¿Cómo determinar la distancia entre los dos barcos?En este problema se debe determinar la distancia entre dos barcos. La situación es representanda por dos triángulos rectángulos con un cateto vertical común, correspondiente a la altura del faro. La distancia entre los barcos se determina mediante la siguiente expresión trigonomética:
d = 30 / tan 5° - 30 / tan 8°
d ≈ 129.441 m
La distancia entre los dos barcos es aproximadamente 129.441 metros.
Para aprender más sobre funciones trigonométricas: https://brainly.com/question/23309115
#SPJ1
the length of pregnancy isn't always the same. in pigs, the length of pregnancies varies according to a normal distribution with mean 114 days and standard deviation 5 days. what percent of pig pregnancies are longer than 109 days?
95.61 percent of pig pregnancies are longer than 109 days with 0.8413 probability.
A standard normal distribution or z-table can be used to approximate the probability of multiple ranges of values for a random normal variable X with a particular mean and standard deviation. This method entails changing X to a typical normal variable Z.
The normal, random variable X equals the length of pregnancy.
The mean and standard deviation are then calculated.
u, Mean = 114 days
σ, Standard deviation = 5 days
Then, as follows, transform X to its standard normal variable:
Z = (X - u) ÷ σ
Z = (X - 114) ÷ 5
To determine the likelihood of a pregnancy lasting more than 109 days,
P(X ≤ 109) = P(Z ≤ 114 - 109 ÷ 5)
P(X ≤ 109) = P(Z ≤ 1)
P(Z ≤ 1) = 0.8413 when using a typical normal distribution or z-table.
The percentage of pig pregnancies that last more than 109 days,
P = (109 ÷ 114) × 100
P = 95.61%
Learn more about the probability at
https://brainly.com/question/13678923?referrer=searchResults
#SPJ4
whats greater 0.9 , 4/5 , 76% , 9/8
(IN THE LEAST TO GREATEST)
Answer:
76%,4/5,0.9,9/8
Step-by-step explanation:
answers asap plss asrgw4iflgj4pIEARHGPW45HIGOLIH3N54HGW!!!!!!?!?!?!?!?!?!?!
Answer:
gvs-qvzp-hst please join once I beg you
Answer:
Plan A is cheaper by 2 dollars when watching 6 movies
Step-by-step explanation:
plan a: y=x+18
plan b: y=3x+8
6+18=24
18+8=26
Write the equation in standard form, (2x+1)(3x-2)=0
Answer:
6x^2-x-2
Step-by-step explanation:
b. If the volume of a cube is 4096 cm³ find diagonal of the cube
A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices, and 12 edges.
The diagonal of a cube is √3 side.
If the volume of a cube is 4096 cm³ the diagonal of a cube is 16√3 cm.
What is a cube?A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices, and 12 edges.
The volume of a cube is given as:
Volume = side³
The diagonal of a cube = √3 side.
We have,
The volume of a cube = 4069 cm³
The volume of a cube = side³
4096 = side³
side = ∛4096
side = 16 cm
Now,
The diagonal of a cube:
= √3 side
= √3 x 16
= 16√3 cm
Thus,
The diagonal of a cube is 16√3 cm.
Learn more about cubes here:
https://brainly.com/question/17022479
#SPJ1
I need help with this question asap 5x-4+4x=
Answer:9x-4
Step-by-step explanation:
Answer:
It simplifies to 9x-4
x= 4/9 or 0.4
Step-by-step explanation:
The straight line y = mx + c lies on the right side of y-axis if a. c = 0 b. c = -1 c. c>0 d. c<0
Paul’s short-term goal is to exercise 3 hours per workout. His long-term
goal is to exercise 33 hours per month. What is the fewest number of
workouts will Paul need to do to meet his long-term goal?
A: 6
B: 11
C: 14
D: 18
Bagels cost $0.65 each. Jim has 6 dollars. How many bagels can jim buy?
Answer:
He can buy 9 bagels
Step-by-step explanation:
6 divided by $0.65 gets you 9.230769230769231. We have to round this down so he can get 9 bagels.
Rotate the shape as described.
The ordered pair for A' is
. The ordered pair for B' is
. The ordered pair for C' is
By applying a rotation of 180° counterclockwise to triangle ABC, we have the following:
The ordered pair for A' is (4, 0).The ordered pair for B' is (7, 2).The ordered pair for C' is (9, 9).What is a rotation?A rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction.
In Geometry, rotating a point 180° about the origin in a clockwise or counterclockwise (anticlockwise) direction would produce a point that has the coordinates (-x, -y).
By applying a rotation of 180° counterclockwise (anticlockwise) to triangle ABC, the coordinate of the image of triangle A'B'C' is given by:
(x, y) → (-x, -y)
Points at A = (-4, 0) → Points at A' = (-(-4), -(0)) = (4, 0)
Points at B = (-7, -2) → Points at B' = (-(-7), -(-2)) = (7, 2).
Points at C = (-7, -2) → Points at C' = (-(-9), -(-9)) = (9, 9).
Read more on rotation here: https://brainly.com/question/28515054
#SPJ1
a + b - 8 = p solve for a
Answer:
a = −b + p + 8
Step-by-step explanation:
a + b - 8 = p solve for a
a + b - 8 = p
subtract b from both sides:
a + b - 8 - b = p - b
a - 8 = p - b
add 8 to both sides:
a - 8 + 8 = p - b + 8
a = p - b + 8
rearrange for alphabetical order:
a = −b + p + 8
Answer:
a = p + 8 - b
Step-by-step explanation:
Step 1: Add 8 both sides
[tex]\displaystyle{a+b-8+8=p+8}\\\\\displaystyle{a+b=p+8}[/tex]
Step 2: Subtract b both sides
[tex]\displaystyle{a+b-b=p+8-b}\\\\\displaystyle{a=p+8-b}[/tex]
Note: You can also subtract b both sides first then add 8 both sides.
Therefore, the new equation when a-term is the subject is [tex]a=8+p-b[/tex].
Please let me know if you have any questions!
Enrique has $50 in his lunch account and spends $5 per day from the account. Maya has $46 in her lunch account and spends $4 per day from the account. Which equations model the situation? Do not for get to show your work
a.) 50 – 5x = y and 46 – 4x = y
b.) 5x + 50 = y and 4x + 46 = y
c.) 5x – 50 = y and 4x – 46 = y
d.) 5 – 50x = y and 4 – 46x = y
Answer:
a
Step-by-step explanation:
Let's look at Enrique:
He starts with $50 and every time he buys lunch his account goes down by 5. The y would represent how much money he has left in his account.
So, say he buys 3 lunches how much is in his account if he started with 50?
50 - 5-5-5 = 35
Use the equation
50 - 5(3) = y
50 - 15 = y
35 = y
Please help
It’s due tonight
Answer:
it -8 2÷-14=-7 x=-7
-7+-1=-8
Ten years ago, you could buy a loaf of bread for $1.21.
Twenty years ago, you could buy a loaf of bread for $0.92.
What is the difference in prices?
For which equation would x= 10 be a solution?
06 x+5=45
3 x-4 = 24
5+6 x = 55
5x-8=42
Answer:
5x-8=42
Step-by-step explanation:
5x-8=42
+8 +8
5x=50
50÷5
10
If someone were to answer all the questions that would be appreciated im confused with this!
Answer:
Choice A I think, i'm not really sure!
Similar triangles ABE and BCD are shown on the coordinate plane. Line t passed through points A, B, and C,Select from the list to correctly complete the sentence.
Answer
The slope of segment AB is equal to the slope of the segment BC.
Explanation
Similar triangles have the same set of interior angles.
And it is one these angles, that determines the slope of the line segment AB or BC.
For the two triangles, that angle is the same because they are similar triangles.
So,
The slope of segment AB is equal to the slope of the segment BC.
Hope this Helps!!!
PLEASE HELP ME I'LL GIVE 30 POINTS
the graph represents the total number of plants and number of seed packets used. what i’d the constant of proportionality?
The constant of proportionality is 10 in the given graph which represents the total number of plants and number of seed packets used.
What is proportionality?Equivalence between two ratios is referred to as proportionality in algebra. A and B are in the same proportion as C and D in the expression a/b = c/d. When one of a proportion's four quantities is unknown, a proportion is typically used to solve a word problem.
It is resolved by multiplying one numerator by the opposing denominator and equating the result to that of the other numerator and denominator. Any relationship that always has the same ratio is referred to as proportional.
For instance, the ratio of proportionality is the average number of apples per tree, and the quantity of apples in a crop is proportional to the number of trees in the orchard.
Here, when number of seeds packet is 1 plants are 10 and when seeds packet are 5 plants are 50, we can divide each of the variables to find the constant,
10/1 = 10
20/2 = 10
30/3 = 10
Thus, constant is 10 represented as y = kx
where y = no. of plants = 30
k = 10
x = no. of seeds packet = 3
Learn more about proportionality
https://brainly.com/question/15525667
#SPJ9
Find the Standard deviation of 2, 2.6, 3.2, 4.3 5, 4.7, 6.2
The most appropriate choice for standard deviation will be given by-
Standard deviation is 1.41
What is Variance and standard deviation?
At first, it is important to know about mean of a data.
Mean gives the average value of the data.
Variance is calculated by taking the sum of the square of deviation of each value of the data set and then dividing the sum by the total number of values of the data set.
On taking the square root of the variance, we will obtain the standard deviation of the data set.
Here,
The data set is 2, 2.6, 3.2, 4.35, 4.7, 6.2
Mean = [tex]\frac{2 + 2.6 + 3.2 + 4.35 + 4.7 + 6.2}{6}[/tex]
= 3.84
Variance = [tex]\frac{(2-3.84)^2+(2.6-3.84)^2+(3.2-3.84)^2+(4.35-3.84)^2+(4.7-3.84)^2+(6.2-3.84)^2}{6}[/tex]
= [tex]\frac{11.9021}{6}[/tex]
= [tex]1.983[/tex]
Standard deviation = [tex]\sqrt{1.983}[/tex]
= 1.41
To learn more about variance and standard deviation, refer to the link:
https://brainly.com/question/24298037
#SPJ9
15. Determine the sum of the measures of the interior angles of this seven-sided polygon.
Show your calculation.
Answer:
900⁰
Step-by-step explanation:
Use the formula:
(n-2)×180 =sum of interior angles.
n= number of sides
(7-2) × 180= 5×180= 900⁰
find the length and simplify in radical form
Answer:
Length = 9
Step-by-step explanation:
7^2 + 4sqrt2^2 = x^2
49 + 16*2 = x^2
49+32 = x^2
x^2=81
x=9
:] (Tell me if this is wrong)
The ratio of Jaynee's money to Owen's money is 3:11. If Jaynee has $33,
how much money do Jaynee and Owen have ALL TOGETHER?
Answer:
42 dollars
Step-by-step explanation:
Jaynee's money is 11 out of (11+3) = 14 or 11/14ths of the total
11/14 x = 33
x = total amount = 33 * 14/11= 42 dollars
7.
A bookrack is 61 1/4 inches wide. I want to place a set of
encyclopedias
on the rack., each measuring 1 3/4 inches wide. How many
will fit on the rack?
35 encyclopedias can be fit on the bookrack.
What is an encyclopedia?
An encyclopedia (American English) or encyclopaedia (British English) is a reference source or compendium that provides summaries of general or specific information to a certain topic or discipline. Encyclopedias are organized into articles or entries that are either alphabetically sorted by article name or by subject categories, or are hyperlinked and searchable by random access. The entries in encyclopedias are longer and more thorough than those in most dictionaries. In general, encyclopedia articles focus on factual information about the subject specified in the title, as opposed to dictionary entries, which focus on linguistic information about words, such as their derivation, meaning, pronunciation, use, and grammatical forms.
Width of bookrack = 61 1/4 inches
Width of an encyclopedia = 1 3/4 inches
no. of encyclopedias to be fit = (61 1/4)/(1 3/4)
= (245/4)/(7/4)
= 245/7
= 35
Hence, 35 encyclopedias can be fit on the bookrack.
To know more about encyclopedias, click on the link
https://brainly.com/question/2430838
#SPJ9
simplify the expression PLS HELP DUE SOON WILL MARK BRAINLEST UF UU ADD STEPS TOO !!!!
Answer:
[tex]125x^{18}y^{6}[/tex]
Step-by-step explanation:
Given expression:
[tex]\left(5x^6y^2\right)^3[/tex]
Apply the exponent rule that states that raising a number to a power of 1 yields the original number: 5 = 5¹.
[tex]\implies \left(5^1x^6y^2\right)^3[/tex]
[tex]\textsf{Apply exponent rule} \quad (abc)^n=a^n \cdot b^n \cdot c^n:[/tex]
[tex]\implies \implies \left(5^1\right)^3 \cdot \left(x^6\right)^3 \cdot \left(y^2\right)^3[/tex]
[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]
[tex]\implies 5^{(1 \cdot 3)} \cdot x^{(6 \cdot 3)} \cdot y^{(2 \cdot 3)}[/tex]
[tex]\implies 5^3x^{18}y^{6}[/tex]
Carry out 5³:
[tex]\implies 5 \cdot 5 \cdot 5 \cdot x^{18}y^{6}[/tex]
[tex]\implies 25 \cdot 5 \cdot x^{18}y^{6}[/tex]
[tex]\implies 125x^{18}y^{6}[/tex]
Simplify by combining like terms
4y+3x+6+2y+3
Answer:
6y + 3x + 9
Step-by-step explanation:
→ Combine all equivalent terms
4y + 2y + 3x + 6 + 3
→ Simplify
6y + 3x + 9
Answer:
3x + 6y + 9
Step-by-step explanation:
Combine like terms.
4y + 2y = 6y
6 + 3 = 9
3x does not have a like term.
6y + 3x + 9
Order the variables in alphabetical order. (In this case, x goes before y.)
Simplify.
3x + 6y + 9