Two other examples of linear relationships are changes of units and finding the total cost for buying a given item x times.
Other examples of linear relationships?
Two examples of linear relationships that are useful are:
Changes of units:
These ones are used to change between units that measure the same thing. For example, between kilometers and meters.
We know that:
1km = 1000m
So if we have a distance in kilometers x, the distance in meters y is given by:
y = 1000*x
This is a linear relationship.
Another example can be for costs, if we know that a single item costs a given quantity, let's say "a", then if we buy x of these items the total cost will be:
y = a*x
This is a linear relationship.
So linear relationships appear a lot in our life, and is really important to learn how to work with them.
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The diameter of a circle is 36 millimeters. What is the circle's area? Use 3.14 for .
Answer:1017.36[tex]ml^{2}[/tex]
Step-by-step explanation:
Diameter= 36ml
radius=diameter/2
R=36 ÷2
R=18ml
Area=π[tex]r^{2}[/tex]
Area=3.14 x [tex]18^{2}[/tex]
Area=1017.36[tex]ml^{2}[/tex]
Answer:
Step-by-step explanation:
She says that the coffee cup fountain actually holds about 400 gallons of coffee.
The newscaster claims that if the coffee fountain really broke, the 400 gallons of coffee would cover the
equivalent of half a city block.
You look up some information.
• One gallon of water covers about 13.8 square feet.
• Near the mall, an average city block is about 300 feet by 300 feet.
Assume the fountain holds 400 gallons of coffee. Using the information given, determine whether the
newscaster's claim is correct.
• Construct an argument that supports or refutes the newscaster's claim.
Include mathematics to support your argument.
https://www.perfection-events.com/content/back-basics-coffee-essentials
Since the area 400 gallons will cover, 5520 square feet is less than the area of half a city block which is 45000 square feet, the Newscasters claim is wrong.
What is the area of the city block?The area of the city block is calculated from the product of the dimensions provided:
The city block is in form of a square, hence it's area = side × side
Dimension of city block = 300 feet by 300 feet.
Area of city block = 90000 square feet
Half of area of city block = 45000 square feet
1 gallon covers 13.8 square feet
400 gallons will cover = 400 × 13.8 = 5520 square feet
The area 400 gallons of coffee will cover is less than 45000 square feet.
Therefore, the news caster's claim is wrong.
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anyone know the answer to this
Answer: The bottom three: [tex]\frac{48}{-17}[/tex], [tex]\frac{-48}{17}[/tex], and -2 [tex]\frac{14}{17}[/tex]
Step-by-step explanation:
The first option is not because the numerator and denominator are flipped.
The second option is not because this one is positive while the one given is negative.
The third option is equivalent.
The fourth option is equivalent.
The fifth option is equivalent because - 48 / 17 = -2 [tex]\frac{14}{17}[/tex] when turned into a mixed number.
Answer:
[tex]\frac{48}{-17}, \frac{-48}{17}, -2\frac{14}{17}[/tex] (the last 3 options)
Step-by-step explanation:
As long as the negative is in either the numerator or the denominator (if it is in both then it is positive because the negatives cancel out), the entire fraction will be negative, so both [tex]\frac{48}{-17}[/tex] and [tex]\frac{-48}{17}[/tex] work as answers. The last option is just a simplified version of the fraction.
Leyla is redecorating her living room. The room is in the shape of a right rectangular prism. The dimensions of the room are 15 feet in length by 10 feet in width by 8 feet in height.
She plans to cover the floor with hardwood. The cost of the hardwood is $3 per square foot. She plans to cover the walls and the ceiling with paint. Each container of paint costs $30 and can cover 275 ft².
What is the total cost of the hardwood flooring and paint needed for this room?
Drag and drop the responses to correctly complete these sentences.
Answer:
Total floor: 150 sq ft = $450
Wall and Ceiling: 550 sq ft = $60
Total cost $510
Step-by-step explanation:
Floor: 15 sq ft * 10 sq ft (L * W) = 150 sq ft
150 sq ft * $3 = $450
Walls: 2(H * L) = 2(8*15) = 240 sq ft
2(H * W) = 2(8*10) = 160
Total walls sq ft = 400 sq ft
Ceiling is same as floor = 150 sq ft
Total sq ft painted = 550 sq ft
550 sq ft / 275 sq ft (covered per paint) = 2 paints = $60
$450 floor + $60 paint = $ 510
Answer:
$510
Step-by-step explanation:
The floor of the room measures 15 ft in length and 10 ft in width.
The area of the floor is length × width = 15 ft × 10 ft = 150 ft².
The hardwood costs $3/ft².
The cost of the hardwood is: $3/ft² × 150 ft² = $450
The area of the walls is the lateral surface area of the rectangular prism.
The lateral surface area of the rectangular prism is the perimeter of the base times the height.
perimeter of the base = 15 ft + 15 ft + 10 ft + 10 ft = 50 ft
height = 8 ft
lateral area = total area of the walls = perimeter × height = 50 ft × 8 ft = 400 ft²
The paint costs $30/(275 ft²).
She needs to paint 400 ft².
400 ft² / 275 ft² = 1.45
She needs 1.45 containers of paint, but she must buy full containers of paint, so she must buy 2 containers since 1 container is not enough.
Cost of paint: 2 × $30 = 60
Total cost of hardwood and paint = $450 + $60 = $510
Six coins are tossed simultaneously what is the probability of getting exactly 4 heads
The probability of getting exactly 4 heads is 0.23.
What is the probability?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event.
Let p represents the probability of getting head in a toss of a fair coin, so
[tex]\rm P=\dfrac{1}{2}\\\\q=1-p\\\\q=1-\dfrac{1}{2}\\\\q=\dfrac{1}{2}[/tex]
Let X denote the random variable representing the number of heads in 6 tosses of a coin.
The probability of getting r sixes in n tosses of a fair is given by,
Probability of getting 4 heads :
[tex]\rm P(X=3)=^6C_4\times \left ( \dfrac{1}{2} \right )^4 \times \left ( \dfrac{1}{2} \right )^{6-4}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \left ( \dfrac{1}{2} \right )^{2}\\\\P(X=3)=15 \times \dfrac{1}{16} \times \dfrac{1}{4}\\\\= 0.23[/tex]
Hence, the probability of getting exactly 4 heads is 0.23.
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#SPJ4
find the value of x
[tex]\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2 \qquad \begin{cases} c=\stackrel{hypotenuse}{11 + x}\\ a=\stackrel{adjacent}{x}\\ b=\stackrel{opposite}{17}\\ \end{cases}\implies (11+x)^2=x^2+17^2 \\\\\\ (11+x)(11+x)=x^2+17^2\implies \stackrel{F~O~I~L}{121+22x+x^2}~~ = ~~x^2+289 \\\\\\ 121+22x=289\implies 22x=168\implies x=\cfrac{168}{22}\implies x=\cfrac{84}{11}\implies x=7\frac{7}{11}[/tex]
A number is selected at random from {1, 2, 3} three times probability that 1 is selected at least once?
The probability that one is selected is the likelihood
The probability that one is selected at least once is 0.704
How to calculate the probability?The sample space is given as:
S = {1,2,3}
The probability that 1 is not selected at all is:
P'(None) = 2/3
The probability that one is selected at least once is calculated using the following complement rule
P(At least once) = 1 - P(None)^3
This gives
P(At least once) = 1 -(2/3)^3
Evaluate
P(At least once) = 0.704
Hence, the probability that one is selected at least once is 0.704
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4. The width of a rectangle is (2x - 2) and
its length has a measure of (2x + 2).
a. What is the perimeter of the rectangle?
[tex]p = 2(l + w)[/tex]
[tex]p = 2(2x - 2 + 2x + 2)[/tex]
[tex]p = 2(4x)[/tex]
[tex]p = 8x[/tex]
change 1.77 tones to kilograms
Answer:
1770
Step-by-step explanation:
multiply the mass value by 1000
that is the easy way
which is larger 0.849 or 1.08
Answer:
the answer to this question is 1.08
Question 7 (1 point)
Which polynomial is equivalent to x2 + 3x ?
O a
-
-
Ob
-
-3 (22 – 2x) + 4x (x + 3) - 12x
3 (22 + 2x) - 4x (x - 3) + 3x
-3 (x2 + 2x) + 4x (x + 3) - 3x
3(x2 - 2x - 4x (x - 3) + 12x
ос
Od
-
-
-
Answer:
c
Step-by-step explanation:
Jax is surveying the number of children in restaurants. One restaurant has 7 children and a total of 42 customers. The next restaurant has 60 customers. Based on his survey, how many can he predict will be children?
A. 25
B. 10
C. 360
D. 5
Answer:
B is the correct answer
Step-by-step explanation:
42/7 = 6
60/6 =10
10788 divided by 31 what it the answer
Answer:
348
Step-by-step explanation:
hope this helps
PLEASE HELP ASAP NO LINKS
Henry has a part-time job selling computers. He works 6.5 hours each day,
• The function p(x) = 65 + 25x models his daily earnings, where x is the number
sells during the day.
• Henry sells 3 to 10 computers per day.
Which interval contains all of the values in the range of the function
(A) 3 5 p(x) S 10
(В
10 s p(x) S 185
C
75 s p(x) S 250
D) 140 S P(x) S 315
function : p(x) = 65 + 25(x)
for 3 sells
p(3) = 65 + 25(3)p(3) = 140for 10 sells
p(10) = 65 + 25(10)p(10) = 315So,
140 ≤ p(x) ≤ 315
Answer:
D) 140 ≤ p(x) ≤ 315
Step-by-step explanation:
Domain
Henry sells 3 to 10 computers per day3 ≤ x ≤ 10Range
To find the range, input the values of the domain of the functionp(3) = 65 + 25(3)p(3) = 65 + 75 = 140p(10) = 65 + 25(10) p(10) = 65 + 250 = 315Range ⇒ 140 ≤ p(x) ≤ 315What is the correct answer?
Answer:
2.38 yds^3
Step-by-step explanation:
Volume of a box = width x length x height
Now we multiply!!
? = 1 x 1.7 x 1.4
1 x 1.7 x 1.4 = 2.38
Have an amazing day!!
Please rate and mark brainliest!!
[tex] \huge\fbox\orange{ANSWER} [/tex]
[tex] \mathsf \purple{v = l \times w \times h}[/tex]
[tex] \mathsf \pink{v = 1.7 \times 1 \times 1.4}[/tex]
[tex] \mathsf \purple{v = 2.38 {yd}^{3} }[/tex]
2.38 cubic yards
20 points, A right rectangular prism is 9.5 inches long, 4 yards wide and 3 yards tall what is its volume?
Answer:
114
Step-by-step explanation:
You first have to do L x W x H
which will be 9.5 x 4 x 3
that gives you 114
which is the answer 114!!
I'm hopeless at these pls help
Answer:
x = -14 I hope this helps :)
The present ages of Tina and Mina are in the ratio of 4:5 if the sum of their ages after three years would be 33 years find their present age
Answer:
Tina is 12 and MIna is 15
Step-by-step explanation:
Age problems can often be worked by backing out any of the changes in age so as to match the conditions specified at a given time.
Here, the ratio is given for now. The sum of the two ages is 6 years less now than it will be after 3 years, so is now 33 -6 = 27.
The sum of ratio units now is 4+5 = 9, so each ratio unit stands for 27/9 = 3 years of age. The ratio of current ages is ...
3×4 : 3×5 = 12 : 15
Tina is 12 and MIna is 15.
_____
Check
After 3 years, their ages will be 15 and 18, which will total 33.
You randomly draw a marble out of a bag containing 4 green marbles, 6 blue marbles, 8 yellow marbles, and 2 red marbles. Find the probability of drawing a marble that is not yellow.
Answer:
The probability is [tex] \frac{3}{5} [/tex]Step-by-step explanation:
Green marbles = 4
Blue marbles = 6
Yellow marbles = 8
Red marbles = 2
[tex]4 + 6 + 8 + 2 = 20 \: marbles[/tex]
The probability of drawing marble not yellow:
[tex]4 + 6 + 2 = 12 \\ \frac{12}{20} = \frac{3}{5} [/tex]
Brainliest please.
I need the green box with question mark I can’t get the second part
Answer:
-14
Step-by-step explanation:
-8 = 3/2 x 4 + ?
-8 = 6 + ?
-8 - 6 = -14
Your answer will be -14.
Have an amaizng day!!
Please rate and mark brainliest!!
please answer this i need help
Answer:
X=70⁰
Step-by-step explanation:
Angle X and the angle that is 70⁰ , are corresponding angles. Corresponding angles are the pairs of angles that are found in the same relative position on different intersections.
Answer:
x=70
Step-by-step explanation:
Angle X and 70⁰ are corresponding angles.
Given that lines b and c are parallel, select all that apply.
Which pairs of angles are congruent?
3 and 7
2 and 8
3 and 5
1 and 4
Answer:
3 and 7
1 and 4
Step-by-step explanation:
[3 and 7]
These two angles are prooved congruent by corresponding angles
[1 and 4]
These two angles are prooved congruent by opposite vertical angles.
pick correct anser for 10 points !!!
Answer:
[D] a/b < d
Step-by-step explanation:
a = -1.25
b = 1
c = 0.5
d = 1.25
Now Solve the statement:
a/d > c
substitute
-1.25/1.25 which is -1
-1 > 0.5
Thus, this is false
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
c < ab
substitute
0.5 < (-1.25)(1)
0.5 < -1.25
Thus, this is false.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a > bc
-1.25 > (1)(0.5)
Hence,
-1.25 > 0.5
Thus, this is false
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
a/b < d
-1.25/1 < 1.25
-1.25 < 1.25
Thus, this is true
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Hence, Answer is [D] a/b < d
[RevyBreeze]
The ratio of passenger cars to cargo cars in
the rail yard is 7:35. If there are 105 cargo
cars, how many cars are there altogether?
Answer:
126
Step-by-step explanation:
the number of cargo cars is represented by the 35 part of the ratio , then
105 ÷ 35 = 3 ← value of 1 part of the ratio , then
passenger cars = 7 × 3 = 21
total cars = 105 + 21 = 126
can anyone help me with this problem? Please it would be great.
Find the missing side of the triangle.
Answer:
[tex]\displaystyle 45 = x[/tex]
Step-by-step explanation:
Use the Pythagorean Theorem to define the hypotenuse:
[tex]\displaystyle a^2 + b^2 = c^2 \\ \\ 36^2 + 27^2 = x^2 \hookrightarrow 1296 + 729 = x^2 \hookrightarrow \sqrt{2025} = \sqrt{x^2} \\ \\ \boxed{45 = x}[/tex]
I am joyous to assist you at any time.
How many words have i written
Answer:
6
Step-by-step explanation:
Can you help me solve for #1 please?
Answer:
x = 15
It is a Pythagorean triple.
Step-by-step explanation:
1.
a² + b² = c²
9² + 12² = x²
81 + 144 = x²
x² = 225
x = 15
The three numbers, 9, 12, 15 do form a Pythagorean triple since they are integers.
Jasmine is trying to replace the flooring in her rectangular bedroom. When she measured the width and length of the floor, she found that the length is 5 ft. longer than the width. If the perimeter of the room is 50 ft., how much flooring will she need to replace the existing flooring in her room?
By finding the area of the rectangle, we will see that she will need 150 ft^2 of flooring.
How to get the area of the rectangle?
For a rectangle of length L and width W, the area is:
A = L*W
And the perimeter is:
P = 2*(L + W).
In this case, we know that the length is 5ft longer than the width, so we can write:
L = W + 5ft
We also know that the perimeter is 50ft, so we can write:
P = 50ft = 2*(W + 5ft + W)
50ft = 4*W + 10ft
40ft/4 = W = 10ft
So the width is 10 ft, and then the length will be:
L = 10ft + 5ft = 15ft
So the area of the rectangle is:
A = 10ft*15ft = 150 ft^2
She will need 150 ft^2 of flooring.
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A farmer has a total of 23 pigs and chickens. The 23 animals have a total
of 60 legs. How many pigs and how many chickens does the farmer have?
Answer:
7 pigs, 16 chickens
Step-by-step explanation:
p= pigs, c= chickens, legs= 60, number of pigs & chickens= 23
System of Equations:
Equation 1: [tex]p+c=23[/tex] would be [tex]23-p=c[/tex]Equation 2: [tex]4p+2c=60[/tex] for the legsThen, use substitution & solve:
[tex]4p+2(23-p)=54\\4p+46-2p=54\\4p-2p=8\\2p=8\\p=7[/tex]Now, plug [tex]p=7[/tex] back into [tex]23-p=c[/tex] to get c
[tex]23-p=c\\23-7=c\\c=16[/tex]Answer: 7 pigs, 16 chickens or [tex]p=7[/tex] and [tex]c=16[/tex]
To check your work, plug those solutions back into the system.------
(I hope that helps & good luck! <3)
if a:b =2:3 write b as a fraction of a
Answer:
given ,
[tex]\fbox{a:b = 2:3}[/tex]
According to Question ,
we've to write b as a fraction of a.
thus , we know that
[tex]a:b = \frac{a}{b} \\ \\ \dashrightarrow{2:3 = \frac{2}{3} } [/tex]
now to represent b as a fraction of a ,
we'll have to consider the ratio as b : a
which means ,
[tex]b:a = inverse \: of \: a:b \\ \dashrightarrow{ b:a = \frac{b}{a} = \frac{3}{2} }[/tex]
_____________________________
_____________________________
hope helpful :D
Answer:
b = [tex]\frac{3}{2}[/tex] a
Step-by-step explanation:
express the ratios in fractional form
[tex]\frac{a}{b}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )
2b = 3a ( divide both sides by 2 )
b = [tex]\frac{3}{2}[/tex] a