Answer:
Part A:
x > 13
Part B:
How to show this inequality on a number line is a closed circle on 13, going left of 13.
Step-by-step explanation:
Part A:
x represents the age of children who are allowed to operate the boat.
Our inequality is < because if you are of the age of 13 you are allowed to operate the boat,
the inequality x > 13 reads x (the age of children) is greater than or equal to 13
Part B:
How to describe inequalities on a number line;
Closed circle: less than or equal to - or - greater than or equal to ( < , > )
Open circle: less than - or - greater than ( < , > )
To the right of the number on the number line: greater than
To the left of the number on the number line: less than
Answer:
Part A
Let x = age of child (in years)
Given:
"Children under the age of 13 are not allowed to operate a boat"
Therefore, children should be 13 or older:
⇒ x ≥ 13
Part B
Place a closed circle at 13.
Shade to the right of the closed circle.
How many solutions exist for the given equation? 3(x 10) 6 = 3(x 12) zero one two infinitely many
The given equation 3(x+10)+6=3(x+12) has infinitely many solutions.
We have the following expression
[tex]3(x+10)+6=3(x+12)[/tex]
We must rewrite both sides of the equation.
For this, we use the distributive property.
What is the distributive property?
A (B + C) = AB + AC
We have then
3(x+10)+6=3(x+12)
Adding like terms we have
3x+30+6=3x+36
3x+36=3x+36
We observe that we have two equal equations.
Therefore, the equations intersect for any value of x.
Therefore, the equation has infinite solutions.
infinitely many solutions.
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Answer:
What is the distributive property?
A (B + C) = AB + AC
We have then
3(x+10)+6=3(x+12)
Adding like terms we have
3x+30+6=3x+36
3x+36=3x+36
We observe that we have two equal equations.
Therefore, the equations intersect for any value of x.
Therefore, the equation has infinite solutions.
infinitely many solutions.
Step-by-step explanation:
lesson 10.2 area of composite figures worksheet assigment
The composite figure includes a rectangle and trapezoid
The area of the composite figure is 810.5cm².
How to determine the area?From the complete question, we have the following parameters:
Shapes: Rectangle and trapezoid
The area of the rectangle is:
Area = Length × Width
So, we have:
Area = 15 × 23
Area = 345cm²
The area of the trapezium
Area = 0.5 × (a + b) ×h
So, we have:
Area = 0.5 × (15 + 34) × 19
Area = 0.5 × 49 × 19
Area = 465.5cm²
Add both areas to calculate the area of the composite figure
Total area = 345cm² + 465.5cm²
Total area = 810.5cm²
Hence, the area of the composite figure is 810.5cm².
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Samantha is creating concrete spheres for a weight-lifting competition. One of the spheres needs to have a weight of 350 pounds. Samantha knows that concrete weighs 150 pounds per cubic foot. What is the radius, in feet, of the sphere that Samantha will create?
Answer:200
Step-by-step explanation:
How much is the tax on a $30.00 shirt if the tax rate is 10%?
1. $3.00
2. $8.00
3. $15.00
1. $10.00
Answer:
3
Step-by-step explanation:
$30 dollars is the principal.
Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.
How is adding and
subtrading decimas
Similar tooro different
from adding and subtrocling
whole numbers
Calculate the circumference and area of this circle.
Simplify the expression –2(p 4)2 – 3 5p. what is the simplified expression in standard form? –2p2 – 11p – 35 2p2 21p 29 –2p2 13p 13 4p2 37p – 67
The simplified expression of the provided equation in standard form is -2p²-11p-35. Option 1 is the correct option.
What is the simplified form of an expression?Simplified form of an expression is the simplest way of expression the term, by applying the required operations of mathematics.
The expression which is need to be simplified is,
[tex]-2(p +4)^2 - 3 +5p[/tex]
First of all, open the brackets, using the formula of whole square,
[tex]-2(p^2 +16+8p) - 3 +5p\\-2p^2-32-16p-3+5p\\-2p^2-11p-35[/tex]
Hence, the simplified expression of the provided equation in standard form is -2p²-11p-35. Option 1 is the correct option.
Learn more about the simplified form here;
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Answer: A
Step-by-step explanation:
I did it on edge
Find the area of the parallelogram, I will give brainliest
15cm 8cm
[?] square centimeters
Answer:
120 cm^2
Step-by-step explanation:
15*8; You can basiclly move the left edge to fill in the right part and it will become a normal rectangle. Then you can just do lenght*width
Answer:
120 Square centimeters
Step-by-step explanation:
A = bh = 15×8 = 120
Can someone give a good explanation?
Answer:
$2.3
Step-by-step explanation:
they bought hot dogs for $6.35
and french fries for. $3.90. +
they got two mugs of tea $1.40
the tax fee. $1.05
=$12.7
:.,total amount $15.00-$12.7=$2.3 remaining
Jody has already hiked 4 kilometers. The trail is 12 kilometers long. She can hike 2.5 kilometers per hour. Which function will help Jody will help figure out how many more hour, h, she needs to hike?
Answer:
2.5h + 4 = 12 is your equation
2.5h = 12 - 4
2.5h = 8
h = 8 / 2.5
h = 3.2 hrs
Step-by-step explanation:
Answer:
2.5h + 4 = 12 is your equation
2.5h = 12 - 4
2.5h = 8
h = 8 / 2.5
h = 3.2 hrs
Which equation describes this line?
Answer:
y=2x+4
Step-by-step explanation:
**Your line isn't clearly shown on point with the grid**
If you want this in the slope-intercept form then here it is:
Slope-intercept formula: y=mx+b
Your coordinates: (-3,2) and (1,10)
To find the slope (which is the "m" in the formula) you need to do this formula:
y2 - y1 / x2 - x1 =
(The 2's and 1's should be subscript)
10-2/1-(-3) = 8/4
8/4=2
The slope should be 2
Formula right now: y=2x+b
You need to find the y-intercept:
That should be a point on the y-axis.
(0,n) **N is used for a variable since we don't have a number yet.
In your coordinate plane, (0,4) is your y-intercept.
When writing the y-intercept in the formula don't write a coordinate write the "y"
Formula: y=2x+4
need some help with the question in the image
Cheers
2,700 yan po ang answer hehe tama yan
Cindy puts two different-sized weights on a scale. One size weighs 2 ounces and the other size weighs 5 ounces. All of the weights on the scale
weigh 50 ounces combined.
Create an equation to model a possible number of 2-ounceweights, x, and 5-ounce weights, y, that are on the scale
Answer: 2x+5y=50
Step-by-step explanation:
x=number of 2-ounce weights
y=number of 5-ounce weights
Because of this you will write the total weight (50) is equal to __. On the other end you will multiply the possible number of 2-ounce weights to 2 because this will give you the weight for the 2 ounce. The same is done for the 5-ounce weights. Once you combine both of them you would get the total weight. Which is why 2x+5y=50 is the answer.
Which equation has the solutions x = startfraction negative 3 plus-or-minus startroot 3 endroot i over 2 endfraction? 2x2 6x 9 = 0 x2 3x 12 = 0 x2 3x 3 = 0 2x2 6x 3 = 0
The quadratic equation which matches given solution is x² + 3x + 3 = 0. Then the correct option is C.
What is a quadratic equation?It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.
We know that the formula
[tex]\rm x = \dfrac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The solutions are given below.
[tex]\rm x = \dfrac{-3 \pm \sqrt3 \iota }{2}[/tex]
Then
1) 2x² + 6x + 9 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-6\pm 6\iota}{4}\\\\x = \dfrac{-3\pm 3 \iota}{2}[/tex]
2) x² + 3x + 12 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-3\pm \sqrt{39}\iota}{2}[/tex]
3) x² + 3x + 3 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-3\pm \sqrt3\iota}{2}[/tex]
4) 2x² + 6x + 3 = 0, the zeroes of the equation will be
[tex]\rm x = \dfrac{-6\pm 2\sqrt{3}}{4}\\\\x = \dfrac{-3\pm \sqrt3 }{2}[/tex]
More about the quadratic equation link is given below.
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Dana has 8 baseball cards, 10 football cards, 4 hockey cards, and 14 basketball cards. All the cards are the same size and shape. Dana will select one card at random.
What is the probability that the care selected will be a hockey card?
A. 1/9
B. 1/8
C. 1/4
D. 1/3
Answer:
A. 1/9
Step-by-step explanation:
In order to find probability, you need to add up the total number of cards Dana has.
14 + 10 + 8 + 4 = 36
Then set up a fraction representing probability.
4 hockey cards
---------------------
36 total cards
Simplify
1
---
9
This means that Dana has a 1 out of 9 chance of getting a hockey card.
☆anvipatel77☆
•Expert•
Brainly Community Contributor
A company makes several sizes of phones. For each size, the ratio of the height of the screen to its width is 18:9. Write an equation that shows how to find the height in inches of any of the company's phone screens based on the screen's width in inches. Show your work.
The equation which shows how to find the height in inches of based on the screen's width is; h=2w
What is the screen's height in terms of the screen's width?According to the taks content!
The ratio of the height of the screen to its width is 18:9.
On this note, it follows that;
h/w = 18/9
By making the h the subject of the formula;
h = 18w/9
h = 2w.
Read more on ratios;
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what two numbers add to make -25 but multiply to make 150
Math problem 50 points
Answer:
Start with 1st one
Step-by-step explanation:
1-1st one
2-3rd one
3-7th one
4-2nd one
5-6th one
6-4th one
7-5th one
8-8th one
Answer: u said 50
Step-by-step explanation: acd
How do geometric functions differ from algebraic functions?
Answer:
Geometric function deals with points, lines, varied-dimensional objects and shapes, surfaces, and solids in mathematics Whiles Algebra uses variables, in the forms of letters and symbols, to act as numbers or quantities in equations and formulas.
José is driving on a highway. The equation d
55t relates the
number of miles d and the amount of time in hours t. About how
many hours does José spend driving 100 mi?
Answer:
it takes José an 1.18181818 hours
Step-by-step explanation:
since d is miles you replace the d in the equation with 100
so: 100=55t
divide both sides by 55
1.18181818=t
III NNNNEEEEEEED HHHEEEEEEELLLLLPPPPP!
Answer:
27 units
Step-by-step explanation:
To find the volume you do length x width x height. 3 x 3 x 3 is 27.
I NEEED HELP PLEASEE
Answer:
D
Step-by-step explanation:
Additive Inverse Property is the idea that you are adding the same number but positives and negatives of it. So, the correct answer is D.
Hope that helps!
4.321 - 41
Please help me
answer is given above..........
What is TU???? 24 points
Answer:
4
Step-by-step explanation:
Here we know that T is the midpoint of SU.
Therefore, we know ST and TU are equal.
Setting their values equal, we get:
x+3 = 4x
Then we isolate x by subracting x from both sides:
3=3x
Finally we divide by 3:
1=x
Now we can solve for TU:
4x= 4(1) = 4
39 The table shows a linear relationship between x and y.
X
y
96
-20
60
-12
-6
33
-2
15
What is the rate of change of y with respect to x?
А
9
2
을
B
2
9
.
с
2
9
IN
9
2
Answer:
For B it is A92B but for a
Step-by-step explanation:
I got it right on my test!
Gabrielle's emerald ring has a diameter of 14 millimeters. What is the ring's radius?
millimeters
Answer:
7 mm
Step-by-step explanation:
Formula
Radius = 1/2 x DiameterSolving
Diameter = 14 mmRadius = 1/2 x 14 mmRadius = 7 mmLucas owns a car dealership in Brazil that is having a big sale for the next 3 days. Lucas's car dealership will
lose revenue if it rains because potential customers will stay at home. There is a 50% chance of rain each
of the next 3 days independent of the other days. The table below shows Lucas's potential revenue for his dealership's big sale depending on how many days it rains. What is Lucas's car dealerships' expected revenue over the next 3 days?
Lucas's car dealerships' expected revenue over the next 3 days is $6800
How to determine the expected revenue?The expected revenue is calculated using the following formula of expected value
[tex]E(x) = \sum x * P(x)[/tex]
The data elements on the table are represented as:
Days Revenue
0 3000
1 1800
2 1300
3 800
So, we have:
E(x) = 0 * 3000 + 1 * 1800 + 2 * 1300 + 3 * 800
Evaluate the sum of the products
E(x) = 6800
Hence, Lucas's expected revenue is $6800
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#SPJ1
i really need help before 7 am
Answer:
A. is 2.
B. is 5.
C. is 1.
D. is 4.
E. is 6.
F. is 3.
Explaination for my answer
Its bascially just rearrange to make x =
"pyramid = 4
prism = 3
prism = 3
= 3
Wprism
What is the volume of this solid?
O A. 63
O B. 10
O c. 27
O D. 39
Answer:
Find the cube's volume first (because it's the simplest figure) by using the formula;
(Formula for vol. of cube)
V = [tex]s^{3}[/tex]
Where 's' stands for one side of the cube raised to the power of three.
or
V = w · l · h
Where 'w' stands for the width, 'l' stands for the length, and 'h' stands for the height.
Plug in the values you know since they literally give it to you (I'll be using the formula [tex]s^{3}[/tex]);
V = [tex]s^{3}[/tex]
V = 3^3 → (The symbol ' ^ ' means to the power of.)
V = 27, is the volume of the cube.
Now we find the volume of the pyramid using the formula;
(Formula for vol. of pyramid)
V = (l · w · h) · 1/3
Where 'l' means the length, 'w' the width, and 'h' the height whereas the 1/3 is just dividing the product of those three by 3.
Plug in the values you know using both the lengths from the cube and pyramid.
What we know of the dimensions for the cube:Length = 3
Width = 3
Height = 3(we won't use)
What we know of the dimensions for the pyramid:Height = 4
Use these to figure out the volume for the pyramid.
V = (l · w · h) · 1/3
V = (3 · 3 · 4) · 1/3
V = 36 · 1/3
V = 36/3
V = 12, is the volume of the pyramid.
Add your volumes:-
27(cube vol.) + 12(pyramid vol.)
= 39 is the volume for this whole solid, your answer is D.
Use the quadratic formula to solve the equation: 3x2−6x+1=0
Answer:
3x2-6x+1=0= 7/6
Step-by-step explanation:
3x2-6x+1=0
-6x=-7
than divide each term in -6x=-7 by -6 and simplify
x= 7/6
Answer:
x = 1.816 and 0.1835
Step-by-step explanation:
See attachment.