Answer:
14x + 23
Step-by-step explanation:
The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet.
The perimeter of a triangle: the sum of all of its sides.
5x + 9 + 2x + 14 + 7x
14x + 23
It's the expression of the perimeter of the triangle. Once you will be asked to find x, you'll probably be given the exact perimeter of the triangle.
You can buy jars of the same jam in two sizes.
Step-by-step explanation:
Large Jar 540g for 2.16
540/2.16 = 250
(Always divide by the smallest ratio)
= 250g per 1£
Small Jar 360g for 1.37
360/1.37=262.77g
= 262.77g per 1£
Small Jar is the best value for money, more grams, same price.
Phillip is going to a college where tuition is $7,000 per year. He has a scholarship that pays 75% of tuition. He has a grant that pays $1,500 per year. How much will he need to borrow to pay tuition each year?
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A coin is used to simulate the probability of parents having 1 boy and 1 girl if they have a total of two children. A head represents having a girl, and a tail represents having a boy. The coin is flipped twice for each trial. The first flip represents the first child, and the second flip represents the second child. The experiment was performed 12 times, and the results are recorded in the following table.
Trial First Flip Second Flip
1 H H
2 H T
3 T H
4 H T
5 T T
6 H H
7 T H
8 H T
9 H H
10 T T
11 T T
12 H H
Based on the simulation, what is the probability that parents will have 1 boy and 1 girl if they have a total of two children?
Enter your answer as a reduced fraction, like this: 3/14
From the table, it is found that there is a [tex]\frac{5}{12}[/tex] probability that parents will have 1 boy and 1 girl if they have a total of two children.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem, out of 12 experiments, 5 resulted in one of each, hence:
[tex]p = \frac{5}{12}[/tex]
There is a [tex]\frac{5}{12}[/tex] probability that parents will have 1 boy and 1 girl if they have a total of two children.
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Find the area of the regular polygon. Give the answer to the nearest tenth.
hexagon with a side of 6 in.
Answer:
[tex]\displaystyle 93,5\:in.^2 \approx A[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{3\sqrt{3}}{2}a^2 = A \hookrightarrow \frac{3\sqrt{3}}{2}6^2 = A \\ \frac{3\sqrt{3}}{2}[36] = A; 54\sqrt{3}\:[or\:93,530743609...] \\ \\ \boxed{93,5 \approx A}[/tex]
I am joyous to assist you at any time.
Find the MEAN of the following:
13, 19, 17, 10, 22, 14, 17
Mean: 16
To find the mean, we need to add up all the numbers in the set and then divide by the number of numbers we added.
1. 13 + 19 + 17 + 10 + 22 + 14 + 17 = 112
2. 112 / 7 = 16
3. The mean is 16.
Answer: 16.
Step-by-step explanation: To find the mean of any given data, you need to add all the data. The work is below:
13 + 19 + 17 + 10 + 22 + 14 + 17 = 112.
Now that we've added all the data, we have to divide the data by 7, because that's how many numbers that are in this data. The work is below:
112 / 7 = 16.
Therefore, the mean of this data is 16.
Hope this helps! :)
Find the diameter when the circumference is 47.1 in
C = pi x d
3,14 x d = 47,1
d = 15
number 13 ..........
Answer:
See below
Step-by-step explanation:
Scale it by -4/3 then shift it left by 3
scale by - 4/3 is the same as flipping the function about the x-axis
and scaling it by 4/3
if a dining room is 3 meters long in real life and is 1 centimeter long in the drawing, what scale factor does the drawing use?
Answer:
1:300
Step-by-step explanation:
table:
0 16
2 23
4 33
6 48
8 69
10 99
is this linear or exponential?
Answer:
exponential
Step-by-step explanation:
it is an exponential function
+7
+10
+15
+21
+30
What is the correct answer?
[tex] \huge\fbox\orange{ANSWER} [/tex]
[tex] \mathsf \purple{v = l \times w \times h}[/tex]
[tex] \mathsf \pink{v = 4.4 \times 2.9 \times 1}[/tex]
[tex] \mathsf \purple{v = 12.76 {yd}^{3} }[/tex]
12.76 cubic yards
one student we wrote the expression 17 * 102 as 17(100+2). then she simplified to get the expression 1700+34.
Answer:
Step-by-step explanation:
One student rewrote the expression 17 * 102 as 17(100 + 2). Then simplified to get the expression 1700 + 34.
a. Are the three expressions equivalent (17 * 102, 17(100 + 2), and 1700 + 34)?
Yes, they are.
Check your answer:
17 * 102 = 1734
17(100 + 2)
17(100) + 17 * 2
1700 + 34 = 1734
1700 + 34 = 1734
b. What property of numbers does this demonstrate?
This expression demonstrates the commutative and distributive properties of numbers.
Hope this helps!
Help please and thank you
20 possible points if anyone gets this correct
Answer:
13
Step-by-step explanation:
I counted the X's of 1-3 and got 13 in total.
(Let me know if that was correct) :)
Answer:
13 students
Step-by-step explanation:
To solve this you count the x's above 1, 2, and three.
I hope this helps!!
This is a map of a remote desert region. the government want to supply power to all villages in this region. edges
represent potential connection routes and existing roads. distances are in miles. the plan is to design an mst
system, where the power lines plug into the hub (the village with the most connections running through it).
which village is the hub?
yanu
ollsed
mai
The village that is the hub in the map will be the village that is the focal point and one with the most connections running through it.
What is a map?Your information is incomplete as the map isn't given. Therefore, an overview will be given. A map simply means a diagrammatic representation of an area.
In this case, the hub in the city will be the central part of the city. It's usually the focal point in an area.
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Find the value of x and y
Answer:
x=120
y=60
Step-by-step explanation:
i) y=60 [ corresponding angles]
ii) x + 60 = 180 [linear pair]
or, x = 180- 60
therefore, x is equal to 120
help pls asap i be grateful
Answer: number a
Step-by-step explanation:4 times 2 is 8 8 times 2 is 16
What number
comes next?
78.2; 78; 77.8; ...
Answer:
77.6
Step-by-step explanation:
Each number is subtracted by 0.2
Hope that helps!
A trapezoidal prism undergoes a dilation. The surface area of the pre-image is 35 m². The surface area of the image is 315 m². The height of the pre-image is 5. 8 m. What is the height of the image? Enter your answer as a decimal in the box. M.
The original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m
How does dilation affect length, area, and volume of an object?Suppose a figure (pre image) is dilated (dilated image) by scale factor of k.
So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:
L = k × M
where 'k' will be called as scale factor.
The linear things grow linearly like length, height etc.
The quantities which are squares or multiple of linear things twice grow by square of scale factor. Thus, we need to multiply or divide by k² to get each other corresponding quantity from their similar figures' quantities.
So area of first figure = k² × area of second figure
Similarly,
Volume of first figure = k³ × volume of second figure.
It is because we will need to multiply 3 linear quantities to get volume, which results in k getting multiplied 3 times, thus, cubed.
For this case, we're given that;
Surface area of pre-image = 35 m²Surface area of dilated image = 315 m²Height of pre-image = 5.8 mHeight of dilated image.Let the scale fator of dilation be k.
Then:
So area of pre-image = k² × area of dilated image
Thus, we get:
[tex]35 = k^2 \times 315\\\\k = \sqrt{\dfrac{35}{315}} = 1/3[/tex]
(took positive root as scaling is done by non-negative factors as only magnitude matters mostly)
Thus, we get:
Height of pre-image = (1/3) × Height of dilated image (say h)
[tex]5.8 = (1/3) \times h\\h = 3 \times 5.8 = 17.4 \rm \: m[/tex]
Thus, the original object is called pre-image, and its dilated version is called image. The height of the image for the considered case is 17.4 m
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The seventh-grade class is selling boxes of votive candles as a fundraiser. The first box purchased costs $14.00 , and each additional box costs $10.00 .
a. Is the relationship between the number of additional boxes of candles purchased and the total money spent linear?
Yes
Question 2
Explain your answer.
Answer:
b. C= 14+(10b)
c. C = 14+ ( 10 x 3) = 14+30 =44
Step-by-step explanation:
Hope this helps
4. Let f(x) = x2 - 81. Find f'(x). (1 point)
O
+ Vx+81
09x
w
1
x2 -81
81
Here we are given that ;
[tex]{:\implies \quad \sf f(x)=x^{2}-81}[/tex]
Differentiating both sides w.r.t.x ;
[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2}-81)}[/tex]
[tex]{:\implies \quad \sf f^{\prime}(x)=\dfrac{d}{dx}(x^{2})-\dfrac{d}{dx}(81)}[/tex]
[tex]{:\implies \quad \sf f^{\prime}(x)=2x^{2-1}-0}[/tex]
[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{f^{\prime}(x)=2x}}}[/tex]
This is the required answer
find the number that makes the ratio equivalent to 3:8 6:_
Answer:
6:16
Step-by-step explanation:
To find the answer you do 3x_=6 which the missing number is 2, so you do 8x2=16 because whatever you multiply the first number by you have to do the same to the second number in fractions, ratios, etc.
x/6 = 15/18
I NEED ASAP!!!
X/6 = 15/18
Cross multiply:
18x = 15 times 6
18x = 90
Divide both sides by 18
X = 5
5/6 = 15/18
Answer:
X= 5Step-by-step explanation:
X= 15 x6
18
X= 5I guess it is correct
stay safeThe students in a class collected data on the number of minutes some of them spend
brushing their teeth every day. That data is shown in the dot plot below.
What was the median number of minutes students brushed
their teeth?
Answer:
2.5
Step-by-step explanation:
BASED ON GIVEN DATA:
⇒ 2 STUDENTS SPENT 2.5 (2 1/2) MINUTES
⇒ 1 STUDENT SPENT 3 MINUTES
⇒ 1 STUDENT SPENT 4.5 MINUTES
THE MOST COMMON AMOUNT OF TIME TAKEN IS 2.5 MINUTES BECAUSE OF THE 2 STUDENTS.
Answer: 0.5 minutes
Step-by-step explanation:
Precal unit 4 sample work-
I need help converting the polar to rectangular. I already solved just needing to convert it.
Thank you!
Answer:
(3√26, 0)
Step-by-step explanation:
Finish your work by evaluating the sine and cosine. The imaginary part corresponds to the y-coordinate in (x, y) form.
3√26(cos(360°) +i·sin(360°)) = 3√26(1 +0i)
In rectangular form, that is ...
(3√26, 0)
Each regular polygon has radii and apothem as shown. Find the measure of
each numbered angle.
Answer:
How can i unsubscribe brainly?
Answer:
Step-by-step explanation:
m∠1 = 360° ÷ 8 = 45°
m∠2 = 45° ÷ 2 = 22.5°
m∠3 = ( 180° - 45° ) ÷ 2 = 67.5°
Please help
brainliest for correct answer
x + y = 6
y = 6 - x
substitute the x values to find the value of y
x ║ -2 ║ -1 ║ 0 ║ 1 ║ 2 ║ 3
========================
y ║ 8 ║ 7 ║ 6 ║ 5 ║ 4 ║ 3
Graph:
Write 0.5 repeating as a fraction
Answer: 5/9
Step-by-step explanation: I took a test on this ;)
please help! pleaseeeeee
Step-by-step explanation:
First you do pie then you will get 616 then you divide 616 by 2 and youll get 308 then yoi do it again and youll get 154
The costs for a new publishing company can be classified as fixed costs, such as rent and insurance, or variable costs, such as materials and labor. Fixed costs are constant, while variable costs change as the number of items produced changes. The graph shows the weekly variable costs based on the number of books produced.
a. If weekly fixed costs are $300, sketch a graph showing total expenses for the week.
b. Find the total cost of producing 75 books in a week.
Answer:
a) As weekly costs are fixed at $300, we simply need to shift the function up 300 units. (the new function is shown in blue on the attached graph).
b) Reading from the (blue) graph, the total cost of producing 75 books in a week is $600.
fixed cost + variable cost = $300 + $300 = $600
Find the measure of angle M in the paralellogram. ANSWER QUICK PLS, LOTS OF POINTS, WILL GIVE BRAINLIEST WILL REPORT!!
Opposite angles are equal in parallelogram
7x-4=5x+127x-5x=12+42x=16x=8<M:-
7(8)-456-452°x=8. The steps are in the attachment.
A rectangular prism has a total surface area of $56. $ Also, the sum of all the edges of the prism is $60. $ Find the length of the diagonal joining one corner of the prism to the opposite corner
Length of the diagonal of rectangular prism is equals to 13units.
What is rectangular prism?
" Rectangular prism is a three dimensional figure which has six faces in rectangular shape."
Formula used
Total surface area of the rectangular prism = 2(l b + b h +l h)
Sum of all the edges of the prism = 4 (l +b + h)
length of the diagonal of the prism = √l² + b² + h²
l = length of the prism
b = width of the prism
h = height of the prism
According to the question,
Given,
Total surface area of the rectangular prism = 56 units
⇒2(l b + b h +l h) = 56
Sum of all the edges of the prism = 60 units
⇒4(l + b + h) = 60
Divide both the side by 4 we get,
(l + b + h) = 60 / 4
⇒(l + b + h) = 15 ____(1)
Squaring both the side of (1) we get,
(l + b + h)² = (15)²
⇒l² + b² + h² + 2 (l b + b h +l h) = 225
Substitute the value of total surface area to get length of the diagonal,
l² + b² + h² + 56 = 225
⇒l² + b² + h² = 225 - 56
⇒l² + b² + h² = 169
⇒√l² + b² + h² = √169
⇒√l² + b² + h² = 13
Hence, length of the diagonal of rectangular prism is equals to 13units.
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