Write a real-world problem involving perimeter that goes with the number sentence 2 x 18+ 2 x 15 = 66.
The real-world problem involving perimeter is that the perimeter of a rectangle of length 18 units and width 15 units is 66 units
How to determine the real-world problem
From the question, we have the following parameters that can be used in our computation:
2 x 18 + 2 x 15 = 66
The perimeter of a rectangle can be calculated using
Perimeter = 2 x Length + 2 x Width
Using the above as a guide, we have the following:
Perimeter = 66Length = 18Width = 15Read more about perimeter at
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1) Jaiden mixed 6 cups chocolate chips with 8 cups of granola to make trail mix. To represent the relationship between chocolate chips, c, and granola, g, needed to keep the makeup of the trail mix the same, Jaiden wrote the equation c= ly What number should be placed in the box?
We know that c represents the number of chocolate chips and g represents the granola. We also know that the equation that represents this relation is:
\(c=kg\)Plugging the values we know into the equation we have:
\(6=8k\)solving for k we have:
\(k=\frac{6}{8}=\frac{3}{4}\)Therefore the number in the box is 3/4 (.75 in decimal form).
Ellie fills her car with 14.297 gallons of gas. Alivia fills her car with 14.209 gallons of gas.write an inequality statement comparing the two gas purchase.
Answer:
Ellie is gas.
Step-by-step explanation:
Inequality statement: Ellie is not equal to gas, yet she is all about gas.
A stainless steel cylinder has a diameter of 9 cm and a height of 19 cm. What is the approximate volume of the container?
A 536 cm3
B 1,074 cm3
C 1,209 cm3
D 4,835 cm3
THERE IS NO PICTURE
Answer:
I think the answer is C. 1209 cm^3
Step-by-step explanation:
volume of a cylinder= πr^r2xh
radius = 1/2xdiameter
r = 1/2× 9
r = 4.5cm
height. = 19cm
volume of the cylinder = 22/7 x (4.5)^2 x 19
= 1208.73cm^3
= 1209 cm^3 ( to the nearest whole number)
In triangle ABC, AB = 6, BC = 8, and angle ABC = 90 degrees. Find the area of triangle ABC.
Answer:
24
Step-by-step explanation:
The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.
6 x 8 = 48
48 / 2 = 24
Please Solve (c-3)^2=100
Answer:
BODMAS RULE
(c-3)²=100
c²-6c+9=100
c²-6c=100-9
c²-6c=91
c²-6c-91=0
then factories
2
3250 m + 1,662 km =
Answer:
1,665.25 km
Step-by-step explanation:
Johnny has 3 spring jackets, 2 winter jackets, and 7 running jackets, what is the total number of jackets that Johnny owns?
Answer:
12
Step-by-step explanation:
3+2+7=12
Hope this helps! Please give brainliest!
What equation is graphed?
10
8
6
SK
-10-8-8/ 2 4 6 8 10
-8
-10
16
9
=1
=1
po
first off, let's take a peek at the picture above
hmmm the hyperbola is opening sideways, that means it has a horizontal traverse axis, it also means that the positive fraction will be the one with the "x" variable in it.
now, the length of the horizontal traverse axis is 4 units, from vertex to vertex, that means the "a" component of the hyperbola is half that or 2 units, and 2² = 4, with a center at the origin.
\(\textit{hyperbolas, horizontal traverse axis } \\\\ \cfrac{(x- h)^2}{ a^2}-\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2} \end{cases} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(x- 0)^2}{ 2^2}-\cfrac{(y- 0)^2}{ (\sqrt{3})^2}=1\implies {\Large \begin{array}{llll} \cfrac{x^2}{4}-\cfrac{y^2}{3}=1 \end{array}}\)
for a graph of a quadratic i have x intercepts that are x=12 and x =35 do i have enough information to find the y-coordinate of the vertext and why
Answer:
No... provided no other information or no graph is provided.
Step-by-step explanation:
You can find the x-coordinate of the vertex which can be calculated using the two given x-intercepts. Using the symmetry of the parabola, it would just mean the vertex should lay midway between the x's. So the x-coordinate of the vertex is (12+35)/2=47/2.
However, we do not have enough information about the relationship between x and y to find the y-coordinate of the vertex.
All we are given is y=a(x-12)(x-35) (where a is real number) since we know the relationship is quadratic, and the zeros are 12 & 35.
So we could have many possible y-coordinates for our vertex since we don't know the value of a in our equation and we can plug in our x-coordinate for our vertex to find them all.
y=a(47/2-12)(47/2-35)
I'm just going to put everything to right of a in calculator:
y=-529/4 ×a
So that's all the possible y-coordinates for the vertex.
The depth of a local lake averages 38 ft, which is represented as |−38|. In February, it measured 6 ft deep, or |−6|, and in July, it was 25 ft deep, or |−25|. What is the difference between the depths in February and July?
A32 feet
B 31 feet
C 19 feet
D 13 feet
The difference between the depths in February and July is 31 feet.
How to measure depth?The method of measuring depth depends on what we are trying to measure the depth of. Here are some general methods for measuring different types of depth:
Depth of water: The depth of water can be measured using a sounding device such as a sonar or a simple depth gauge. A sonar uses sound waves to determine the distance from the water's surface to the bottom. A depth gauge is a simple device that measures the distance from the surface of the water to the bottom using a weight and a line.
Depth of a hole: The depth of a hole can be measured using a tape measure or a ruler. Simply insert the measuring device into the hole and measure the distance from the top of the hole to the bottom.
Depth of a trench: The depth of a trench can be measured using a measuring tape or a surveyor's level. Place the measuring device at the edge of the trench and measure the distance from the top of the trench to the bottom.
Depth of a pool: The depth of a pool can be measured using a pool depth marker or by using a measuring tape. A depth marker is usually located on the side of the pool and indicates the depth at various points. Alternatively, you can use a measuring tape to measure the distance from the surface of the water to the bottom of the pool.
Depth of a well: The depth of a well can be measured using a well sounder or a tape measure. A well sounder is a device that sends a signal down the well and measures the time it takes for the signal to bounce back. The time it takes is then used to calculate the depth of the well. Alternatively, a tape measure can be used to measure the distance from the surface of the water to the bottom.
Given, In February, it measured 6 ft deep, or |−6| and in July, it was 25 ft deep, or |−25|.
The difference between the depths in February and July is:
|−6| − |−25| = 6 − (−25) = 6 + 25 = 31
Therefore, the correct choice is B) 31 feet.
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I WILL GIVE BRAINLIEST PLS HELP ME ASAP
Using the new scale and starting from the origin, where will point A be?
Answer:
6,6
Step-by-step explanation:
Answer:
the current scale would be 33 and the new scale is 66
Step-by-step explanation:
HELP QUICK!!
Write the equation of the circle graphed below.
The equation of the circle graphed in the considered image is of radius 4 units and centered on (x,y) = (5,0) is: (x-5)^2 + y^2 = 16
What is the equation of a circle with radius r units, centered at (x,y) ?If a circle O has radius of r units length and that it has got its center positioned at \((h, k)\) point of the coordinate plane, then, its equation is given as:
\((x-h)^2 + (y-k)^2 = r^2\)
For this case, from the graph given, we see that the radius of the circle is of 4 units (the center is on 5, and circumference touches on 9, the difference is 4 units, which corresponds to the length of the considered circle's radius).
Also, the circle is centered on the x-axis at value 5, and as y is 0 on x-axis,the coordinate of its center is (h,k) = (5,0)
Thus, the equation of this circle is:
\((x-h)^2 + (y-k)^2 = r^2\\(x-5)^2 + (y-0)^2 = 4^2\\(x-5)^2 + y^2 = 16\)
Thus, the equation of the circle graphed in the considered image is of radius 4 units and centered on (x,y) = (5,0) is: (x-5)^2 + y^2 = 16
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A particle moves along the x-axis so that at time t≥0t\ge 0t≥0 its position is given by x(t)=−t3+6t2−9t+42.x(t)=-t^3+6t^2-9t+42.x(t)=−t3+6t2−9t+42. Determine the total distance traveled by the particle from 0≤t≤4.0\le t \le 4.0≤t≤4.
Answer: 4 units
Step-by-step explanation:
The given position function: \(x(t)=-t^3+6t^2-9t+42.\), where t≥0.
To determine: Total distance traveled by the particle from 0≤ t ≤ 4.0.
At t=0,
\(x(0)=-(0)^3+6(0)^2-9(0)+42=42\\\)
At, t=4,
\(x(4)=-(4)^3+6(4)^2-9(4)+42\\\\=-64+6(16)-36+42=38\)
Total distance traveled by the particle from 0≤ t ≤ 4.0 = |42-38| units
= 4 units
Hence, the distance traveled by the particle from 0≤t≤4.0 is 4 units.
y-5=-3(x+2) convert this equation to standard form
Answer: 3x+y=1
Step-by-step explanation:
Which of the following values is a solution to the inequality (x+5)/3 < 2x?Question 2 options:x = –5x = 13x = –1x = 3
Answer
x = 3
Explanation
Given inequality:
\(\frac{x+5}{3}<2x\)Multiply both sides of the inequality by 3 in order to clear fraction:
\(\begin{gathered} \frac{x+5}{3}\times3<2x\times3 \\ =x+5<6x \end{gathered}\)Combine the like terms
\(\begin{gathered} x+5<6x \\ x-6x<-5 \\ -5x<-5 \end{gathered}\)Divide both sides by -5. Note the < will change to >
\(\begin{gathered} \frac{-5x}{-5}>\frac{-5}{-5} \\ x>1 \end{gathered}\)This implies the values of x must be greater than 1, i.e. in terms of whole number, x = 2, x = 3, x = 4, ......... could be any of the solutions.
Hence,
\(x=3\text{ is a solution to the inequality}\)Write the explicit formula for the arithmetic sequence below. 14, 9, 4, -1, ...
Step-by-step explanation:
To find the next term or number, we'll need to keep subtracting 5. So the formula is: n-5
(PLEASE HELP ALL MY POINTS) What is the best way to describe the center of the data represented in this line plot?
Select from the drop-down menus to correctly complete the statement.
The
mean or median
is
1.5 inch or 1 inch or 1.8 inches or 2 inches
Answer:
Review. The mean and the median can be calculated to help you find the “center” of a data set. The mean is the best estimate for the actual data set, but the median is the best measurement when a data set contains several outliers or extreme values.
Step-by-step explanation:
bye
Answer:
the mean is 1.8, the median is 1
Step-by-step explanation:
pls simplify these two problems:
Answer:
Step-by-step explanation:
1 )
\(\frac{2}{5}( \frac{5x}{4} - \frac{10}{3})-\frac{4x}{3} \\\frac{x}{2} - \frac{4}{3} - \frac{4x}{3}\\ \frac{-5x}{6}-\frac{4}{3}\)
2 )
\(\frac{17x}{8}+\frac{3x}{4}+\frac{1}{6}-\frac{7x}{12}+\frac{17}{3}\\ \frac{51x}{24}+\frac{18x}{24}-\frac{14x}{24}+\frac{35}{6}\\\frac{55x}{24}+\frac{35}{6}\)
For the graph, name the parent function and write an equation of the graph.
This is a transformation of the parent square root function, and it can be written as:
f(x) = √(-x + 4) - 2
Which is the parent function graphed?
It is ratter easy to identify the shape of the general square root function:
f(x) = √x
The only difference is that now it opens to the left, and it starts at the point (4, -2)
Then:
The sign of the x must be negative.
And with the known vertex we can write the equation:
f(x) = √(-x + 4) - 2
That is the graphed function.
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Find out the coordinates
Bookwork code: A99
The table shows the hair colours of the
students in a sports team.
Hair colour
Black
Blonde
Brown
Frequency
1
< Back
a) What fraction of the students have brown
hair? Give your answer in its simplest form.
b) How many sections on this pie chart
would you shade to show the students with
brown hair?
4
2
Scroll down
Watch video
Answer >
A fraction of the students who have brown hair is equal to 1/7.
You should shade only one (1) section on the pie chart to show the number of students with brown hair.
What is a pie chart?In Mathematics, a pie chart can be defined as a type of graph that is used for the graphical representation of the proportion relationship between each part or unit to a whole, especially by dividing a circle into various sectors or sections.
Based on the information provided in the table (see attachment), we can logically deduce the following parameters about the various hair color;
Number of brown hair = 1 brown hair.
Number of blonde hair = 4 blonde hair.
Number of black hair = 2 black hair.
Therefore, the total number of hairs is equal to 7 hairs.
For the fraction of students with brown hair, we have;
Fraction = 1/7.
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In 5-card poker, the number of outcomes favorable to an event E is given in the table. Find the
probability of being dealt four of a kind or a a straight.
The probability of being dealt four of a kind or a straight is
(Round to 6 decimal places.)
Event E
Royal flush
Straight flush
Four of a kind
Full house
Flush
Straight
Three of a kind
Two pairs
One pair
No pair
Total
# of Outcomes Favorable to E
4
36
624
3744
5108
10,200
54,912
123,552
1,098,240
1,302,540
2,598,960
The probability of being dealt four of a kind or a straight is 0.00416 or 0.416%.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
In 5-card poker, find the probability of being dealt the following hand. Refer to the table.
From the table:
Total number of outcomes = 2598960
Total number of favorable outcomes = 624 + 10200 = 10824
The probability of being dealt four of a kind or a straight
P = 10824/2598960
P = 0.00416
In percentage:
P = 0.416%
Thus, the probability of being dealt four of a kind or a straight is 0.00416 or 0.416%.
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davey read 58 pages on saturday and p pages on
The value of p is 15
What is the 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.
Given here: Davey reads 58 pages on Saturday and on rest of the days p pages per day
Therefore everyday he reads 58+p pages per day
If he reads for 10 days and he reads a total 1408 pages then we have
In a week there is one Saturday
thus
9p+58=1408
9p=1350
p=15
Thus on the other days p is equal to 15 pages per day.
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The complete question is Davey reads 58 pages on Saturday and p pages on other days and on a span of 10 days he reads 1408 pages. Find the value of p.
Given the point with Cartesian coordinates, (−7√3/2,7/2), find the polar coordinates of the point.
Select the correct answer below:
(7,4π/3)
(7,11π/6)
(3,4π/3)
(3,5π/6)
(3,11π/6)
(7,5π/6)
Answer: the last option is correct
Step-by-step explanation:Using the formulas for converting Cartesian coordinates to polar coordinates:
r = √(x^2 + y^2)
θ = atan2(y, x)
where x and y are the Cartesian coordinates, r is the distance from the origin to the point, and θ is the angle between the positive x-axis and the line connecting the origin to the point.
Given the Cartesian coordinates (x, y) = (-7√3/2, 7/2), we can substitute these values into the formulas:
r = √((-7√3/2)^2 + (7/2)^2)
θ = atan2(7/2, -7√3/2)
Simplifying the expressions:
r = √(147/4 + 49/4) = √(196/4) = √49 = 7
θ = atan2(7/2, -7√3/2)
Using a calculator or reference table to find the arctangent of 7/2 divided by -7√3/2, we get:
θ ≈ 5π/6
So the correct answer is: (7, 5π/6), which is option (6).
Pamelas age is 3 times Jiris age. The sum of their ages is 96. What is Jiris age?
Answer:
32
(32 x 3 ) 96
(96 divided by 3) 96
Step-by-step explanation:
tell me if this isnt right and report it, i want u to get it right. :)
Answer:
Jiri is 24 years old.
Step-by-step explanation:
Let "J" represent Jiri's age.
We could use "P" to represent Pamela's age, but that wouldn't help us in solving this problem.
However, we do know that Pamela's age is 3 times Jiri's age, so we can write Pamela's age to be 3J (3 times Jiri's age.)
We also know that the sum of their ages is 96.
Thus, we have: Jiri's Age + Pamela's Age = 96 years of age.
And: J + 3J = 96
Simplifying, we obtain: 4J = 96
Divide by 4 on both sides: J = 24
1. Holly, Tyler, and their parents go shopping for some items to update their 3 bedrooms. They have exactly $400 that they can spend. They have the following items in their cart: 3 packages of curtains, 3 gallons of paint, and 3 lamp shades. Complete the following to find out if they have enough money to purchase these items and, if they do, how much they will have left over.
(a) If a package of curtains cost $21.50, what is the cost of the 3 packages of curtains in the cart?
(b) If a gallon of paint costs $7.96, what is the cost of the 3 gallons of paint in the cart?
(c) If a lamp shade costs $14.99, what is the cost of the 3 lamp shades in the cart?
(d) Find the total cost of all the items in the cart. Then, find the amount of money the family has left, if any, from the $400.
Answer:
3 x 21.50= 64.50
3 x 7.96= 23.88
3 x 14.99= 44.97
Altogether equals 133.35
400-133.35= 266.65
Answer:
3 x 21.50= 64.50
3 x 7.96= 23.88
3 x 14.99= 44.97
Altogether equals 133.35
400-133.35= 266.65
A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 2.5 in. A branch of the military requires women's heights to be between 58 in and 80 in.
a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall?
b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements?
Answer:
(A)
Step-by-step explanation:
The survey follows of women's height a normal distribution.
The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.
The new height requirements would be 57.7 to 68.6 inches
The given parameters are:
\mathbf{\mu = 63.5}μ=63.5 --- mean
\mathbf{\sigma = 2.5}σ=2.5 --- standard deviation
(a) Percentage of women between 58 and 80 inches
This means that: x = 58 and x = 80
When x = 58, the z-score is:
\mathbf{z= \frac{x - \mu}{\sigma}}z=
σ
x−μ
This gives
\mathbf{z_1= \frac{58 - 63.5}{2.5}}z
1
=
2.5
58−63.5
\mathbf{z_1= \frac{-5.5}{2.5}}z
1
=
2.5
−5.5
\mathbf{z_1= -2.2}z
1
=−2.2
When x = 80, the z-score is:
\mathbf{z_2= \frac{80 - 63.5}{2.5}}z
2
=
2.5
80−63.5
\mathbf{z_2= \frac{16.5}{2.5}}z
2
=
2.5
16.5
\mathbf{z_2= 6.6}z
2
=6.6
So, the percentage of women is:
\mathbf{p = P(z < z_2) - P(z < z_1)}p=P(z<z
2
)−P(z<z
1
)
Substitute known values
\mathbf{p = P(z < 6.6) - P(z < -2.2)}p=P(z<6.6)−P(z<−2.2)
Using the p-value table, we have:
\mathbf{p = 0.9999982 - 0.0139034}p=0.9999982−0.0139034
\mathbf{p = 0.9860948}p=0.9860948
Express as percentage
\mathbf{p = 0.9860948 \times 100\%}p=0.9860948×100%
\mathbf{p = 98.60948\%}p=98.60948%
Approximate
\mathbf{p = 98.61\%}p=98.61%
This means that:
The height of 98.51% of women that meet the height requirement are between 58 inches and 80 inches.
So, many women (outside this range) would be denied the opportunity, because they are either too short or too tall.
(b) Change of requirement
Shortest = 1%
Tallest = 2%
If the tallest is 2%, then the upper end of the shortest range is 98% (i.e. 100% - 2%).
So, we have:
Shortest = 1% to 98%
This means that:
The p values are: 1% to 98%
Using the z-score table
When p = 1%, z = -2.32635
When p = 98%, z = 2.05375
Next, we calculate the x values from \mathbf{z= \frac{x - \mu}{\sigma}}z=
σ
x−μ
Substitute \mathbf{z = -2.32635}z=−2.32635
\mathbf{-2.32635 = \frac{x - 63.5}{2.5}}−2.32635=
2.5
x−63.5
Multiply through by 2.5
\mathbf{-2.32635 \times 2.5= x - 63.5}−2.32635×2.5=x−63.5
Make x the subject
\mathbf{x = -2.32635 \times 2.5 + 63.5}x=−2.32635×2.5+63.5
\mathbf{x = 57.684125}x=57.684125
Approximate
\mathbf{x = 57.7}x=57.7
Similarly, substitute \mathbf{z = 2.05375}z=2.05375 in \mathbf{z= \frac{x - \mu}{\sigma}}z=
σ
x−μ
\mathbf{2.05375= \frac{x - 63.5}{2.5}}2.05375=
2.5
x−63.5
Multiply through by 2.5
\mathbf{2.05375\times 2.5= x - 63.5}2.05375×2.5=x−63.5
Make x the subject
\mathbf{x= 2.05375\times 2.5 + 63.5}x=2.05375×2.5+63.5
\mathbf{x= 68.634375}x=68.634375
Approximate
\mathbf{x= 68.6}x=68.6
Hence, the new height requirements would be 57.7 to 68.6 inches
Simplify XY/YZ ??????
Answer:
X/Z
Step-by-step explanation:
xy/yz
the y on the top and at the bottom can be removed because y/y = 1
and 1 x X/Z = X/Z
number key to answer 13-15
The values of 13 to 15. in Roman numerals will be XIII, XIV and XV.
Based on the information, Casey's humbugers cost 90 cents each.
What are Roman numerals?Roman numerals are a system of numbers that date back to ancient Rome and were widely used to write numbers in Europe until the Late Middle Ages.
The symbols used in a system of number notation based on the pre-Roman Roman system are known as Roman numerals. The letters I, V, X, L, C, D, and M stand for 1, 5, 10, 50, 100, 500, and 1,000, respectively.
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