Therefore, [tex]8\sqrt{2}[/tex] number of inches in the perimeter of new square if the perimeter of the original square is 16 inches.
What is perimeter?
The complete length of a shape's boundary is referred to as the perimeter in geometry. A shape's perimeter is calculated by adding the lengths of all of its sides and edges. Its dimensions are expressed in linear units like centimeters, meters, inches, and feet.
Given: The midpoints of the adjacent sides of a square are connected to form a new square. The perimeter of the original square is 16 inches.
As perimeter is 16 in, so the side is 4 in.
Each side of the new square is the hypotenuse of an isosceles right triangle with legs of length 2 inches.
[tex](2 in)^2 + (2 in)^2 = s^2\\s^2 = 8 in^2\\s = 2\sqrt{2} in[/tex]
Therefore,
Perimeter = 4s
[tex]P = 4(2\sqrt{2}) = 8\sqrt{2} in[/tex]
Therefore, [tex]8\sqrt{2}[/tex] number of inches in the perimeter of new square if the perimeter of the original square is 16 inches.
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Jayden has 4x² red pens and 3x orange
pens.
He has twice as many black pens as red
pens.
He also has 5 fewer purple pens than
orange pens.
Write an expression in terms of x for the
total number of red, orange, black and
purple pens that Jayden has.
Give your answer in its simplest form.
It gave the number of red pencils and orange pencils. Let's add them up.
[tex]4x^2+3x=R+O[/tex]He has twice as many black pens as red pens.
[tex]B=2R[/tex][tex]B=2(4x^2)=8x^2[/tex]He has five less pink pencils than he has orange pencils.
[tex]P=O-5[/tex][tex]P=3x-5[/tex]Let's add up all the values we found.
[tex]R+B+O+P=4x^2+8x^2+3x+3x-5[/tex][tex]=12x^2+6x-5[/tex]In its simplest form:
[tex]x^2+\frac{1}{2}x-\frac{5}{12}[/tex]
The smallest whole number thar satisfies the inequality 3x-1>2 is
A. 1
B. 2
C. 3
D. O
The smallest whole number that satisfies the inequality 3x-1>2 is option B. 2.
What is termed as the whole number?Whole numbers are all of the basic measuring numbers plus 0. Natural numbers are counting numbers in mathematics. As a result, the whole number can be defined as a collection of any and all natural numbers and 0. Whole numbers have included positive integers as well as zero.Whole Numbers are indeed the natural numbers plus the number 0. In mathematics, the set of whole numbers is represented by the symbol W and is given as 0, 1, 2, 3,...For the given question;
The inequality is given as;
3x-1>2
Solve the inequality to get the value of x.
Add 1 on both side.
3x - 1 + 1 > 2 + 1
3x > 3
Divide both side by 3.
x > 1
Thus, the number must be greater than 1 and the smallest which is 2.
Therefore, the smallest whole number that satisfies the inequality is 2.
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How much would you tip someone if the total cost of the meal is 13.40$?
The amount that you would tip someone if the total cost of the meal is 13.40$ is: $2.01.
How much is the standard tip in the United States?In the United States, the standard tip for good service is 15%. So, assuming that the meal service offered could be classified as a good service, we can say that 15% of 13.40$ will be the tip to provide.
15% of 13.40$ is equal to $2.01.
Therefore, the amount that the person who received the service is expected to pay is $2.01. Also, note that the tip for delayed service is 10% and the tip for excellent service is 20%. Bad service requires no tip.
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What are the domain and range of this relation? ( – 3,9) ( – 8, – 7) (3, – 8) (0, – 1) ( – 2,4)
Answer: Domain: -8,-3,-2,0,3 Range: -8,-7,-1,4,9
Step-by-step explanation: To find the domain and range, just see the X values for the domain, and Y values for the range and put them in order from least to greatest. (because this is a relation and not just points, you don't just take the greatest point minus the least)
How far can a bat travel in nine hours, if it is flying at nineteen miles per hour?
Answer:
171
Step-by-step explanation:
This is because 19*9=171. 19 miles per hour and 9 hours.
Use an integer chip model to help you evaluate −8 + (−8) and write the solution on the line.
Answer:
-16
Step-by-step explanation:
there should be two set of -8 add together which is -16
m(d)=-4d^2+16d-40
Convert the function into vertex form.
The function into vertex form is m(d) = -4(d -2 )^2 - 24
Given in the question:
m(d)= - 4d^2 + 16d -40
and, Convert the function into vertex form.
Let's Know:
How do you change a function into vertex form?
m(d) = - 4d^2+16d-40 Convert the function into vertex form.
To convert standard form to vertex form, Convert y = ax2 + bx + c into the form y = a (x - h)2 + k by completing the square. Then y = a (x - h)2 + k is the vertex form.
Come to the solution:
m(d)= - 4d^2 + 16d -40
take out the leading coefficient;
m(d)= - 4(d^2 - 4 x d ) -40
Complete the square
m (d) = - 4(d^2 +(2 x(-2))x d + (-2)^2) + (-40 - (-4 x (-2)^2))
Express the function in vertex form :
m(d) = -4(d -2 )^2 - 24
Hence, The function into vertex form is m(d) = -4(d -2 )^2 - 24
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4 apples cost $2. Will the unit price, or cost of 1 apple, be greater than or less than $2?
Answer:
0.5 dollars or 50 cents
Step-by-step explanation:
because 4:2=0.5
have a nice day
Please help level-8th your answer may help my grades!
Answer:
1. 6/10 2? 3.3/4 4. 1/3
Step-by-step explanation:
there is none.0.3333333333333333333333 is just 1/3.also this is NOT 8th grade math i am in 6th
Answer:
0.6=6/10
3.405=681/200
0.75=3/4
0.33=1/3
A bee flies at 15 feet per second directly to a flowerbed from its hive. The
bee stays at the flowerbed for 10 minutes, and then flies directly back to
the hive at 9 feet per second. It is away from the hive for a total of 14
minutes. Let d be the distance of the flowerbed from the hive. How far is
the flowerbed from the hive?
The flowerbed is 3600 feet away from the beehive.
How is distance related to speed and time?
Speed is determined by dividing the distance travelled by the time taken to travel it. It gives the distance travelled and the time it took to travel that distance.
Distance is equal to speed times time, and time is equal to distance divided by speed. As a result, as the speed increases, the amount of time required will decrease, and vice versa.
Mathematically, Distance = Speed*Time
Given, the total time of flight for the bee = (14 - 10) minutes = 240 seconds
Speed of the bee = 15 feet s⁻¹
Distance of the flowerbed from the hive = d
Thus using the formula described above in the literature part, we get,
Distance, d = Speed * Time = 15*240 = 3600 feet
Thus, the flowerbed is 3600 feet away from the beehive.
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32” TV height: 16” width: _____
Answer:
16:9Step-by-step explanation:
The dimensions of a 32-inch TV are 81.28 cm for the diagonal, and approximately 71 cm and 40 cm for width and height in the 16: 9 format.
Dividing Decimals: Rounding the quotient
0.03 divided by 0.148 =
The quotient when 0.03 is divided by 0.148 after rounding it off is 0.2.
According to the question,
We have the following information:
0.03 is divided by 0.148
Now, we have the quotient as:
0.2027
Now, when rounding off the numbers we know that the digits from where we are rounding off we look at the right next to that digit and when that digit is greater than 5 then the digit should be increased by 1 and when that digit is less than 5 then the digit should be the same.
So, we will round it off by taking the underlined digit to be next to first 2:
So, the digit is 0.
Then, we have:
0.2
Hence, the quotient when 0.03 is divided by 0.148 after rounding it off is 0.2.
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For Items 3–5, use the figure shown.
Find the slope of each line in the figure.
Five lines graphed on the same coordinate plane. Line m passes through the points negative 15.5 comma 0 and 0 comma 6.2. Line n passes through the points negative 5 comma negative 6.8 and 12 comma 0. Line p passes through the points negative 4 comma 8 and 4 comma negative 12. Line q passes through the points 6.8 comma 13 and 12 comma 0. Line r passes through the points 6.8 comma 13 and 0.4 comma negative 3.
slope of p =
slope of q =
slope of r =
slope of m =
slope of n =
Slope of p is -2.5, slope of q is -2.5, slope of r is 2.5, slope of m is 0.4 and slope of n is 0.357.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula for slope passing through two points (x1, y1) and (x2, y2)
m=y2-y1/x2-x1
Line m passes through the points negative 15.5 comma 0 and 0 comma 6.2.
(-15.5, 0) and (0, 6.2)
m=6.2-0/0-(-15.5)
m=6.2/15.5 =0.4
Line n passes through the points negative 5 comma negative 6.8 and 12 comma 0.
(-5, -6.8) and (12, 0)
m=0-(-6.8)/12-(-5)
m=6.8/12+7
m=6.8/19=0.357
Line p passes through the points negative 4 comma 8 and 4 comma negative 12.
(-4,8) and (4,-12)
m=-12-8/4-(-4)
m=-20/8=-2.5
Line q passes through the points 6.8 comma 13 and 12 comma 0.
(6.8,13) and (12, 0)
m=0-13/12-6.8
m=-13/5.2=-2.5
Line r passes through the points 6.8 comma 13 and 0.4 comma negative 3.
(6.8,13) and (0.4, -3)
m=-3-13/0.4-6.8
m=-16/-6.4=2.5
Hence slope of p is -2.5, slope of q is -2.5, slope of r is 2.5, slope of m is 0.4 and slope of n is 0.357.
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In the American flag there are 7 red stripes for
every 6 white stripes. How many red stripes
and white stripes are there in 120 American
flags?
Total number of stripes in 120 American flag = 120 × 13 = 156 stripes
When do we use unitary method?The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
1. In simple terms, the unitary method is used to find the value of a single unit from a given multiple.
2 . If we need to find the ratio of one quantity with respect to another quantity, then we need to use the unitary method.
Given: Number of red stripes in American flag : 7 stripes
Number of white stripes in American flag = 6 stripes
Thus total number of stripes in an American flag = 6 + 7 = 13 stripes
By using unitary method we get ;
Number of stripes in 120 American flag = 120 × 13 = 156 stripes
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Which equation best represents the graph?
Please help me
An election ballot asks voters to select five city commissioners from a group of nineteen candidates. In how many ways can this be done?
Answer:
Hello! I Have the Correct Answer to This Question, 8,568 ways
Hope This Helps!
Explination:
C(18, 5) = 18!/((18 - 5)! 5!)
C(18, 5) = 18!/(13! 5!)
C(18, 5) = 14*15*16*17*18/(2*3*4*5)
C(18, 5) = 8,568 ways
Brainliest?
What is the probability that a randomly chosen student prefers rap or sings in the shower 3-4 times a week
The equation for the probability that student sings or rap in the shower 3-4 times a week is,
[tex]P\text{ (sing or rap)=P(sings) + P(rap) - P(Sings and rap)}[/tex]Substitute the values in the equation to determine the probability hat student sings or rap in the shower 3-4 times a week.
[tex]\begin{gathered} P\text{ (sings or rap)=0}.4+0.5-0.2 \\ =0.9-0.2 \\ =0.7 \end{gathered}[/tex]So answer is 0.7.
Determine the intercepts of the line.
Do not round your answers.
3x + 2y = 5
Answer:
for x =
[tex]x = 5 - 2y \div 3[/tex]
for y =
[tex]5 - 3x \div 2[/tex]
What is the value of the expression −34 − 17 − (−22)?
A. 39
B. 5
C. −29
D. −73
[tex] = - 34 - 17 + 22 \\ = - 51 + 22 \\ = - 29[/tex]
THE ANSWER IS OPTION C.
what type of number is 1.00 with the line on top of 00 but i dont know how to put it
The number 1.00 as the decimal dot is present in the expression, it cannot be considered a whole number nor an integer. It is a rational number.
You can express it as a fraction 1/1 which is indicative of a rational number.
What number n is four times as close to 2 as it is to 10
Answer:
n=38/3
Step-by-step explanation:
4*(n-10)=(n-2)
4*(n-10)=n-2
4n-40=n-2
3n-40=-2
3n=38
n=38/3
What’s the answer for 8
Answer:
Z=6.855 cm
Step-by-step explanation:
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
(-1, 9) \text{ and } (4, -3)
(−1,9) and (4,−3)
The distance between the given points will be 13 square units.
A triangle may be defined as a closed figure having three sides and three interior angles. A right triangle may be defined as a triangle which has one interior angle as 90°. The right triangle consists of a base, an altitude and a hypotenuse. We have the coordinates of the hypotenuse as (-1, 9) and (4, -3). If we plot these points on graph paper, we get the other point as (-1, -3). Also, the distance between the points (-1. 9) and (4, -3) is given by
Distance = √(-3 - 9)² + (4 + 1)²
Distance = √(-12)² + (5)²
Distance = √144 + 25
Distance = √169
Distance = 13 square units.
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it costs $14 to enter the state fair. in one day 812 people entered the fair during the 11 hours it was open. how much money was collected on that day?
If admission fee per person for the state fair is $14, and 812 people visited the fair during the 11 hours it was open, then a total amount of $11368 was collected on this day.
As per the question statement, admission fee per person for the state fair is $14, and 812 people visited the fair during the 11 hours it was open.
We are required to calculate total amount of money was collected on this day.
To solve this question, we simply have to multiply the admission fee per person, with the number of visitors in that particular day, to obtain our desired answer.
Hence, [$(14 * 812) = $11368] was collected during the 11 hours the fair was open on this day.
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Suppose a shipment of 150 electronic components contains 4 defective components. To determine whether the
shipment should be accepted, a quality-control engineer randomly selects 4 of the components and tests them. If 1 or
more of the components is defective, the shipment is rejected. What is the probability that the shipment is rejected?
The probability that the shipment will be rejected is 2/75.
What is probability?The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a proposition to be true. A number between 0 and 1 is the probability of an event, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes its certainty. Simply put, probability measures how likely something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. is the study of events subject to probability.So, the probability that the shipment is rejected:
Probability formula: P(E) = Favourable events/Total events.Where favorable events are 4 and total events are 150.Now, substitute the values in the formula and solve as follows:
P(E) = Favourable events/Total eventsP(E) = 4/150P(E) = 2/75Therefore the probability that the shipment will be rejected is 2/75.
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There are 8 players on a little league basketball team. They are practicing their free throws by having each playershoot 2 free throws.The table below shows the result of each player's free throws. "X" represents a missed free throw, and "0"represents a made free throw.Drag the bars to make a relative frequency plot that shows the proportion for each possible number of freethrows made by a player.
Relative frequency = (number of times an event occurs)/(Total numer of outcomes)
Player X 0 RFof 2 missed throws RF of 1 missed throw RF of no missed throw
2 0 0.125 0 0
0 2 0 0 0.125
1 1 0 0.0625 0
1 1 0 0.0625 0
0 2 0 0 0.125
1 1 0 0.0625 0
1 1 0 0.0625 0
0 2 0 0 0.125
I need helppp I’ll give Brainliest this is geometry btw
SOMEONE HELP?!!!!
By using the fact that the two triangles are equivalent, we will find that the value of n must be 18.4
How to find the length of n?Here we can see that the horizontal line divides the triangle in such a way that the left and right sides are divided in two halfs. (we can see this because both parts have the same symbol on them)
Also both of these triangles are equivalent, so:
if x is the measure of each part in the right side we can write the equivalent relation
11.3/x = (n + 4.2)/(2x)
Now wen solve this for n:
(11.3/x)*2x = (n + 4.2)
22.6 = n + 4.2
22.6 - 4.2 = n
18.4 = n
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Find the equation of each line in slope intercept form
Answer:
The equation is y = 1/2x +4
two hot air balloons are traveling along the same path from a town beginning from different locations at the same time. Henrys balloon begins 15 miles from town and is 29 miles from the town in 2 hours. The distance of tashas Balloon from the town is represented by the function y= 6x + 10
Henry's balloon was faster as according to the graph of both the equations y = 7x +15 and y = 6x + 10. The line of Henry's balloon is more inclined toward the y-axis which reflects it is moving faster.
In 2 hours, Henry's balloon went 14 miles from 29 to 15, 29 - 15 = 14 miles.
So the balloon's speed was 14 miles per 2 hours = 7 miles per hour, 14 miles per 2 hours = 7 miles per hour.
His position might be represented by the equation y = 7x +15.
The rate of change is 9, while the beginning value is 15.
When compared to Tasha's location function, her balloon began 10 miles from town and proceeded at a speed of 6 miles per hour.
As a result, the equation is y = 6x + 10.
The green line reflects, y = 7x +15
with coordinates (0,15), (1,22), (2,29)...till infinity.
And the blue line reflects, y = 6x + 10
with coordinates (0,10), (1,16), (2,22)...till infinity.
The green line is more inclined towards the y-axis which makes the fact clear that it is moving faster than the blue line.
As a result, Henry's balloons began their journey further out of town and traveled faster.
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Write the next three terms of each of the following sequences.
-67, -75, -83,
Answer:
- 91, - 99, - 107
Step-by-step explanation:
there is a common difference between consecutive terms , that is
- 75 - (- 67) = - 75 + 67 = - 8
- 83 - (- 75) = - 83 + 75 = - 8
thus to find the next 3 terms subtract 8 from the previous term
- 83 - 8 = - 91
- 91 - 8 = - 99
- 99 - 8 = - 107
the next 3 terms are - 91 , - 99 , - 107
