To calculate the value of x in the diagram below:
The perimeter of a a square =
[tex]\begin{gathered} P\text{ = }4l \\ \text{Where P = perimet}er \\ l\text{ = length} \end{gathered}[/tex][tex]\begin{gathered} \text{Length = x ft} \\ P\text{erimeter = 20 ft} \\ P=\text{ 4l} \\ P=4x \\ 20\text{ = 4x} \\ x=\frac{20}{4} \\ x=5ft \end{gathered}[/tex]Hence the value of x = 5ft
If Portia only wanted to make 6 biscuits, how many teaspoons of baking powder would she need? 1 biscuit needs 8 tsp.
Terrell arranges x roses at $3.50 each with 10 carnations at $2.25 each. He makes a bouquet of flowers that averages $3.00 per flower. Choose an equation to model the situation.
The figure shown has two parallel lines cut by a transversal:
A pair of parallel lines is shown, crossed by a transversal. Angles are identified as 1, 2, 3, 4, 5, 6, 7, and 8. Angles 1-4 are on the top line clockwise from upper left. Angles 5-8 are on the lower line clockwise from upper left.
Use the figure to complete the sentence. (4 points)
∠3 and ____ are alternate interior angles.
∠2
∠6
∠5
∠8
Answer:
∠5
Step-by-step explanation:
If Im not mistaken with the order of angles, ∠5 is the answer because they are both angles in the middle of he transversal making them interior angles, then alternate is pretty self explanatory.
NEED HELP ASAP
Which value is closest to (2.4×103)+(5.7×102)?
A
2.97×102
B
2.97×103
C
8.1×105
D
8.1×106
Answer: C) 8.1 x 105
Use the following images to complete the sentences describing the ratio of tusks to whiskers.
There are 2 tusks for every
There is 1 tusk for every
whiskers.
whiskers.
There are 2 tusks for every 8 whiskers.
There is 1 tusk for every 4 whiskers.
How are the ratios calculated?
First image:
Number of whiskers in the first image = 4
Number of tusks in the first image = 0
Second image:
Number of whiskers in the second image = 4
Number if tusks in the second image = 2
Total number of whiskers = 4+4
= 8
Total number of tusks = 0 + 2
= 2
Rewriting as ratios,
a) Tusks: whiskers
2: 8
So, from the ratio, there are 2 tusks for every 8 whiskers.
b) Tusks: whiskers
2: 8
1 : 4
So, from the ratio, there is 1 tusk for every 4 whiskers.
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Two state parks, Elm Grove and Cathedral Rock, each recorded the number of visitors to the park each day for 15 days. The parks made line plots from the data recorded.
For given two state parks Elm Grove and Cathedral Rock, the range of visitors per day to Elm Grove Park is equal to the range of visitors per day to Cathedral Rock Park.
Also, the maximum number of visitors to Elm Grove Park is less than the minimum number of visitors to Cathedral Rock Park.
The correct statements are statement 1 and statement 2
Here, we have been given two state parks Elm Grove and Cathedral Rock. Each recorded the number of visitors to the park each day for 15 days.
We were given line graphs of this data.
We have to choose the correct statements about the two plots.
For Elm Grove Park,
Maximum number of visitors: 350
Minimum number of visitors: 50
Range of visitors per day,
350-50 = 300
And in case of Cathedral Rock Park,
Maximum number of visitors 600
At least 300 visitors and the range of visitors per day is 600-300 = 300
This means that the range of visitors per day to Elm Grove Park is equal to the range of visitors per day to Cathedral Rock Park.
Also, the maximum number of visitors to Elm Grove Park is less than the minimum number of visitors to Cathedral Rock Park.
The correct statements are statement 1 and statement 2
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Answer:
A and C
Step-by-step explanation: The range of visitors in a day to Cathedral Rock is equal to the range of visitors in a day to Elm Grove.
The range of visitors in a day to Cathedral Rock is equal to the range of visitors in a day to Elm Grove.
The greatest number of visitors in a day to Elm Grove is greater than the least number of visitors in a day to Cathedral Rock.
The greatest number of visitors in a day to Elm Grove is greater than the least number of visitors in a day to Cathedral Rock.
Blank x + 16 + x = – 3 x – 4
The value of x from given linear equation is -4.
The linear equations in one variable is an equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
For example, 2x+3=8 is a linear equation having a single variable in it.
Given that x + 16 + x = – 3 x – 4
To find the value of x solving the given linear equation
x + 16 + x = – 3 x – 4
⇒ 2x + 16 = -3x - 4
⇒ 2x + 3x = -4 -16
⇒ 5x = -20
⇒ x = -20/5
⇒ x = -4
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The average, or mean, D, of three exam grades, x, r, and v, is given by the
following formula.
X+r+V
D
3
(a) Solve the formula for v.
(b) Use the formula in part (a) to solve this problem. On your first two exams, your
grades are 85% and 86%: x=85 and r= 86. What must you get on the third exam
to have an average of 90%?
(a) The formula is v= 3D-x-r.
(b) The answer is.
Answer:
v = 3D - x - r
99%
Step-by-step explanation:
D = (x + r + v)/3
x + r + v = 3D
v = 3D - x - r
(b) When x = 85, r = 86 and D = 90%:
v = 3*90 -85 - 86
= 270 - 171
= 99.
What is greater 1.0079 or 100.8
Answer:
100.8 is the correct answer
Answer:
100.8
Step-by-step explanation:
100.8 > 1.0079
The following data values represent a sample. What is the variance of the sample? x = 7. Use the information in the table to help you.
A. 14.4
B. 4.2
C. 18
D. 3.8
X 7 5 11 1 11
(x₁ - x)² 0 4 16 36 16
The variance of the sample mean x = 7 is 18(option c).
Given table:
X 7 5 11 1 11
(x₁ - x)² 0 4 16 36 16
n = number of observations = 5
Variance σ² = 1/n-1 Σ[tex]\ \ n} \atop {i=1} \right.[/tex] ([tex]X_{1}[/tex] - X)²
= 1/5-1 (0 +4 + 16 + 36 + 16)
= 1/4(72)
= 18
Therefore variance σ² = 18
Hence the variance of the sample mean x = 7 is 18.
so option c is correct.
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From 1969 through 1977, there were 24 teams in Major League Baseball, and only 4 made the playoffs
each year. Now, there are 30 teams, and 10 make the playoffs. Find the ratio of teams making the
playoffs to those not making the playoffs in 1969 and today.
The 1969 Major League Baseball season was contested from April 7 to October 16, 1969. It included the third Major League Baseball expansion of the decade, with the Kansas City Royals, Montreal Expos, San Diego Padres, and Seattle Pilots each beginning play this season. The season was also celebrated as the 100th anniversary of professional baseball, honoring the first professional touring baseball team, the Cincinnati Red Stockings of 1869.
This was the first season of the "Divisional Era". With each league expanding from 10 teams to 12 teams, both leagues were divided into two six-team divisions. Teams continued to play 162-game schedules, in place since 1962, by now playing the other five teams in their own division 18 times each (90 games) and playing the six teams in their league's other division 12 times each (72 games). The winners of each division would advance to the postseason and face each other in a League Championship Series, then a best-of-five series, to determine the pennant winners that would face each other in the World Series.
The Baltimore Orioles won the AL East with an MLB-best 109–53 record, and then defeated the AL West champion Minnesota Twins in three games in the first American League Championship Series. The New York Mets won the NL East division with an NL-best 100–62 record, and then defeated the NL West champion Atlanta Braves in three games in the first National League Championship Series. The "Miracle Mets", having joined the league in 1962, were the first expansion team to win a pennant.
The upstart Mets went on to upset the heavily favored Orioles in the World Series, four games to one, in what is considered one of the greatest upsets in World Series history.[1]
HOPES THIS HELPS :D
Solve the compound inequality.
x + 6 <0 or 6x > - 18
Answer: 6x - 18 = 6 • (x - 3)
Step-by-step explanation: Pulling out like terms
9, y = |x-1 table of values?
From absolute value we get the table of values are for x = 0, we get x = 1, we get y = 0, for x < 0, we get y > 1 and for x > 0, we get y > 1
What is absolute value?
The non-negative value of x, regardless of its sign, is referred to as the absolute value or modulus of a real number in mathematics and is denoted by the symbol |x|. For example, displaystyle |x|=x if x is a positive number, displaystyle |x|=-x if x is a negative number, and displaystyle |0|=0 otherwise.
Given y = |x - 1|
When x = 0, we get
y = |0 - 1|
=> y = |-1| = 1
When x < 0, we get
y > 1, as absolute value always give positive value
When x = 1, then we get
y = 0
When x > 0, then we get
y > 1.
Therefore, the table of values are for x = 0, we get x = 1, we get y = 0, for x < 0, we get y > 1 and for x > 0, we get y > 1
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An airplane flies with a constant speed of 804 miles per hour. How far can it travel in 3 hours?
The distance covered by the aeroplane moving with constant speed is 2412 miles in 3 hours.
What is meant by the speed of the body?The distance moved per unit of time is referred to as speed. It is the rate at which an object moves. The magnitude of a velocity vector is represented by the scalar quantity speed. It lacks a sense of direction. A higher speed indicates that an object moves faster. Lower speed indicates that it is moving more slowly. It has zero speed if it is not moving at all.The formula: is the most common method to count the constant speed of an object traveling in a straight line.The formula for speed is;
Speed = distance/ time
s = d/t
For the given question,
An air plane flies with a constant speed of 804 miles per hour.
speed 's' = 804 mi / hour.
Time 't' = 3 hours.
Put the values in formula.
804 = d/3
d = 804×3
d = 2412 miles
Thus, the distance covered by the aeroplane moving with constant speed is 2412 miles in 3 hours.
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Joshua sells a pack of pens for $3.15, which is 5 percent more than he pays for them. Which equation will help find x, the amount he pays for a pack of pens? How many solutions will this equation have?
A.
x + 0.05x = 3.15, which has infinitely many solutions
B.
x + 0.5x = 3.15, which has one solution
C.
x + 0.05x = 3.15, which has one solution
D.
0.05x = 3.15, which has no solution
Answer:
C is the correct answer.
Let A be 5, b be 5, and C be 6
Write a quadratic equation in standard form using those numbers. Find the axis of symmetry and vertex of the parabola
If A is 5, b is 5, and C is 6 the quadratic equation is in standard form using those numbers will be y = 5x² + 5x + 6 and the vertex of the parabola is (-0.2, 5.2)
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that,
a = 5, b = 5 and c = 6
The quadratic equation is in standard form as,
y = ax² + bx + c
Put the values as
y = 5x² + 5x + 6
Differentiate the above equation and equate to 0 to obtain the vertex point,
y' = 10x + 5
0=10x + 5
5x + 1 = 0
5x = -1
x = -0.2
Substitute the value of x as
y = 5x² + 5x + 6
y = 5(-0.2)² + 5(-0.2) + 6
y = 5.2
The vertex of the parabola is (-0.2, 5.2)
Thus, if A is 5, b is 5, and C is 6 the quadratic equation is in standard form using those numbers will be y = 5x² + 5x + 6 and the vertex of the parabola is (-0.2, 5.2)
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If 28 slices of pizza are to be shared in the ratio 5:2 how much will each part be?
Help this is needed right now like I need the answer help me
find 9th term for 2,5,8,11
Answer: 26
Step-by-step explanation:
2+3=5
5+3=8
8+3=11
11+3=14
14+3=17
17+3=20
20+3=23
23+3=26
If a location on a graph has an indegree of 5 and an outdegree of 10 what is the total degree?
The total degree when the indegree is 5 and the outdegree of 10 is 15.
The number of head ends next to a vertex is referred to as the vertex's indegree, and the number of the tail ends next to a vertex is referred to as the vertex's outdegree (called branching factor in trees).
The location on a graph has an indegree of 5 and an outdegree of 10.
The sum of the indegree and the outdegree is the total degree of the vertex. The indegree is written as deg−(x) and the outdegree is written as deg+(x).
The total degree will be:
= indegree + outdegree
= deg⁻(x) + deg⁺(x)
= 5 + 10
= 15
The total degree is the sum of in and outdegree is 15.
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PLEASE HELP!
What is the value of (−14)3 when evaluated?
A. −2,744
B. −196
C. 42
D. 2,744
Answer:
−2,744
Step-by-step explanation:
What is the value of [tex](-14)^{3}[/tex] when evaluated?
A. −2,744
B. −196
C. 42
D. 2,744
if two parallel lines are cut by a transversal then each pair of alternate interior angles are congruent or supplementary
if two parallel lines are cut by a transversal then each pair of alternate interior angles are congruent.
Two straight lines are parallel if they intersect a horizontal line so that their corresponding angles are coincident. Two line segments are parallel if they intersect the transverse line so that the alternating interior angles are congruent. When two parallel lines cross a horizontal line, they form an equilateral interior angle, and their sum equals 180 degrees.
The angles are complementary because the sum of the interior angles on equal sides is 180 degrees. The sum of the interior angles formed by one side of a horizontal line is two right angles. Alternating interior angles are formed by a horizontal line intersecting two parallel lines. They lie between two parallel lines, but on opposite sides of the horizontal line, creating two pairs of alternating interior angles four angles total.
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If someone could please help me that would be great! ( please only answer if you know the answer! ) ( look at photo )
Using the properties of complementary angles we can represent the solution as (a) definition of a right angle (b) substitution property of equality (c) angle addition postulate .
If the sums of two angles equal exactly 90 degrees, they are said to be complimentary.
The two angles could be a part of two distinct or related figures. Angles that are complementing don't have to be close by or facing the same direction. If the total of any two angles is precisely 90 degrees, they are said to be complementary.In both geometry and trigonometry, a right angle, commonly referred to as a quarter turn, is an angle that is precisely 90 degrees. If a ray is positioned so that its terminal is on a line and they are equal, the neighboring angles are right angles. The word is a calque of the Latin word angulus rectus, which means "upright" and denotes a vertical line perpendicular to a vertical base line.Orthogonality, which is the property of producing right angles, and perpendicular lines, which are defined as lines that intersect at right angles, are important and closely related geometrical concepts. The right angle is a crucial idea in trigonometry since it is used to identify correct triangles.To learn more about complimentary angles visit:
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a box with a square base has length plus girth of 108 in. (girth is the distance ""around"" the box.) what is the length of the box if its volume is 2200 in3 ?
Answer:
88
Step-by-step explanation:
Which expression can be used to check the answer to 56÷(-14)= -4?
the given expression is,
56 /(-14)
[tex]\begin{gathered} =\frac{56}{-14} \\ =-4 \end{gathered}[/tex]so the answer is -4.
you can check the answer
by multiplying the (-14) to -4,
[tex]\begin{gathered} \frac{56}{-14}=-4 \\ 56=-14\times-4 \\ 56=56 \end{gathered}[/tex]LHS = RHS so we use the expression -14 x -4 to check the answer.
Blank x – 18 = 3( – x – 6 )
We expand the bracket :
3(-x - 6) = 3 x (-x) - (3 x 6)
= -3x - 18.
So, we have :
___ - 18 = -3x - 18
Add 18 to both sides :
___ = -3x
=> The quantity we need to find is -3x.
find the ratio of 5 days to 60 hours
The ratio of 5 days to 60 hours is 2:1.
What is the ratio?An ordered pair of numbers a and b, written as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. For instance, you could write the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls)The number of common shares each convertible security receives when converted is known as the conversion ratio. The more common shares are exchanged for each convertible security, the higher the ratio.So, the ratio of 5 days to 60 hours:
We know that 60 hours is 2.5 days.Then, ration os 5 days to 2.5 days
5:2.52:1Therefore, the ratio of 5 days to 60 hours is 2:1.
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Which statements are true about the solution to the system of equations?
The statements that are true about the solution to the system of equations are
y coordinate, of the solution is = (-8) ,
x coordinate, of the solution is = (9) , and
The ordered pair that is solution to the system lies in Quadrant IV .
In the question ,
the system of equations are given as
4x+3y = 12 ...(1)
and 2x +3y = -6 ...(2)
to solve for x and y , we subtract equation (2) from equation(1) .
So , On subtracting , we get
(4x+3y)-(2x+3y)= 12-(-6)
4x+3y-2x-3y = 12+6
4x-2x +3y-3y = 18
2x = 18
x = 18/2
x = 9
Put x=9 in equation [tex](1)[/tex], we get
4(9)+3y=12
36+3y=12
3y = 12-36
3y = -24
y= -24/3
y = -8
Since x coordinate is +9 and y coordinate is -8 ,
so the solution lies in Quadrant IV.
Therefore , The statements that are true about the solution to the system of equations are
y-coordinate, of the solution is = (-8) ,
x-coordinate, of the solution is = (9) , and
The ordered pair that is solution to the system lies in Quadrant IV .
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Simplify m^8 m^ -6
Om^2
0 1/m^2
O-m^14
Answer: The answer is m^2
Step-by-step explanation:
Thank you to who ever answers this question. Have a good rest of your day!
Answer:
Step-by-step explanation:
Answer: HI! I believe that the answer would be this symbol (I put it below)
>
Step-by-step explanation:
So sorry if this is wrong
HELP PLEASE
Which one of the following absolute value equations and inequalities have a solution set that is NOT the empty set?
O |2x-51|-3 = -2
O |5x-1| +8 < 6
O 3|x-4|+5 < 4
O 2|x + 7| +3 = 2
For the given absolute value equations and inequalities the following have solution set which is not empty set.
a. |2x-51|-3 = -2 has solution set x = 25 or 26.
b |5x-1| +8 < 6 has empty set.
c. 3|x-4|+5 < 4 has empty set.
d. 2|x + 7| +3 = 2 has solution set x = -15/2 or -13/2.
As given in the question,
Solution set of the absolute value equations and the inequalities are as follow:
a. |2x-51|-3 = -2
⇒ |2x-51| = -2+3
⇒ |2x-51| = 1
⇒ 2x -51 = 1 or 2x -51 = -1
⇒ 2x = 52 or 2x = 50
⇒ x= 26 or 25
Solution set is x = 25 or 26.
b. |5x-1| +8 < 6
⇒|5x-1| < -2
⇒5x -1 < -2 or 5x -1 > 2
⇒ x< -1/5 or x > 3/5
Empty set.
c. 3|x-4|+5 < 4
⇒3|x-4| < -1
⇒x -4 < -1/3 or x -4 > 1/3
⇒ x< -11/3 or x > 13/3
Empty set.
d. 2|x + 7| +3 = 2
⇒2|x + 7| = -1
⇒|x + 7| = -1/2
⇒ (x+7) = -1/2 or (x+7) = 1/2
⇒x= -15/2 or -13/2
Solution set is x= -15/2 or -13/2.
Therefore, For the given absolute value equations and inequalities the following have solution set which is not empty set.
a. |2x-51|-3 = -2 has solution set x = 25 or 26.
b |5x-1| +8 < 6 has empty set.
c. 3|x-4|+5 < 4 has empty set.
d. 2|x + 7| +3 = 2 has solution set x = -15/2 or -13/2.
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