Answer:
y = 12x
Step-by-step explanation:
Note the relationship
x = 3 : y = 36 , that is 36 = 12 × 3
x = 4 : y = 48, that is 48 = 12 × 4
x = 5 : y = 60 , that is 60 = 12 × 5
x = 6 : y = 72 , that is 72 = 12 × 6
The value of y is obtained by multiplying corresponding x value by 12
Then
x = 7 → y = 12 × 7 = 84
in general for any x
y = 12x
Cellular phone service that charges per-minute will charge $15 for 70 minutes. How much would 1077 minutes cost?
Answer:
$5026
Step-by-step explanation:
if you divide 70 by 15 you get 4.66666667
then multiply 4.6666667 by 1077 and you get 5026
Sheldon and Leonard our partners in a business Sheldon makes two dollars in profit for every five dollar that Leonard makes. If together they make a profit of $28 on the first item they sell how much profit does Sheldon make
Answer:
Sheldon makes $8 profitStep-by-step explanation:
The fraction of the profit that belongs to Sheldon is ...
Sheldon / Leonard = 2 / 5
Sheldon / Total = 2 / (2 + 5) = 2/7
Then Sheldon's portion of the $28 profit is ...
Sheldon's profit = 2/7 × $28 = $8
Sheldon makes $8 profit on the first item they sell.
what is the measure of angle W?
Answer:
really to easy
so
x=35
w=81
t=70
c=151
Step-by-step explanation:
In the figure, one exterior angle is drawn at each vertex of the triangle. Explain how to find the sum of the measures of these three exterior angles.
Explanation:
Here's one way:
At vertex A, draw the vertical angle to the given angle 4. That is, extend AC, rather than AB to show the exterior angle at that vertex.
Now, collapse triangle to one with zero area, so that vertices A, B, C lie on top of each other. You can do this using a dilation scale factor f such that f→0.
The result is that the exterior angles divide the circular space around point ABC into three parts that sum to 360°. Essentially, we have copied each of the exterior angles to the same vertex.
The sum of the measures of the exterior angles is 360°.
_____
Additional comment
This identical approach can be used to show the sum of exterior angles around any convex polygon is always 360°.
maria's garden measures 14 feet by 16 feet and has a perimeter of 60 feet. Musharraf's garden measures 10 yards by 4 yards. What is the difference between the two perimeters?
The difference between the two perimeters is 32 yards.
Maria's garden measures 14 feet by 16 feet and has a perimeter of 60 feet.
Musharraf's garden measures 10 yards by 4 yards. The perimeter will be:
= 2(10 + 4)
= 2 × 14
= 28 yards
The difference will be:
= 60 - 28
= 32 yards.
What is the domain of the function
y = √x
Answer:
[tex]0\leq x<\infty[/tex]
Step-by-step explanation:
The function [tex]y=\sqrt{x}[/tex] is not defined for negative numbers in the domain as they produce non-real results. Therefore, all positive numbers including 0 are included in the domain, so the domain of the function would be [tex]0\leq x<\infty[/tex].
I've attached a diagram to help you visualize the domain.
Use the diagram to answer the question that follows.
What is the image of C under the translation described by the translation rule (x, y) + (x +4,
y - 10)?
D
B
E
A
Answer:
B
Step-by-step explanation:
So we are at C:
We need to find the dilation:
First we add 4 to x (meaning we move the point C 4 points to the right)
Then we need to subtract 10 to y (meaning we move the point C 10 points downwards)
This will give you your point:
Which is B
Hope this helps!
[tex]41 \times 28 - 36 \div 32 + 17 \times 21 - 18 = [/tex]
answere please
Answer:
The answer is 1485.875.
Step-by-step explanation:
[tex]\large{\tt{\underline{\underline{\pink{SOLUTION:}}}}}[/tex]
To solve the above equation we will follow the BODMAS rule.
[tex]\blue\star[/tex] BODMAS is an order of mathematic operations.[tex]\blue\star[/tex] BODMAS rule is to be followed while solving expressions in mathematics.It stands for :
[tex]\purple\star[/tex] B = bracket[tex]\purple\star[/tex] O = order of power[tex]\purple\star[/tex] D = division[tex]\purple\star[/tex] M = multiplication[tex]\purple\star[/tex] A = addition[tex]\purple\star[/tex] S = subtractionSolving this question by bodmas rule :
[tex]\begin{gathered}\quad{\sf{ = 41 \times 28 - 36 \div 32 + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - \dfrac{36}{32} + 17 \times 21 - 18}}\\\\\quad{\sf{ = 41 \times 28 - 1.125+ 17 \times 21 - 18}}\\\\\quad{\sf{ = 1148 - 1.125+ 357 - 18}}\\\\\quad{\sf{ = (1148+ 357) - (1.125 + 18)}}\\\\\quad{\sf{ = (1505) - (19.125)}}\\\\\quad{\sf{ = 1505- 19.125}}\\\\\quad{\sf{ = 1485.875}}\end{gathered}[/tex]
Hence, the answer is 1485.875.
[tex]\rule{300}{2.5}[/tex]
Researchers claim that 90% of people are left handed. Suppose the researchers' claim is true. Mrs. Reyes has a Statistics class with 30 students. What is the probability that exactly 25 of them are left handed?
Answer:
10.23% to the nearest hundredth.
Step-by-step explanation:
This is a Binomial Probability Distribution.
If exactly 25 are left handed then exactly 5 are right handed.
So (probability that exactly 25 are left handed)
= 30C5*(0.1)^5(0.9)^25
= 0.1023047706
= 10.23%.
The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
This problem involves the binomial probability distribution, where we have a fixed number of trials (30 students in this case), and each trial has two possible outcomes (left-handed or not left-handed).
The probability of success (a student being left-handed) is 0.9, based on the researchers' claim.
The probability of a failure (a student not being left-handed) is 1 - 0.9 = 0.1.
We want to find the probability that exactly 25 students out of 30 are left-handed.
This can be calculated using the binomial probability formula:
[tex]P(X = k) = ^nC_ kp^k (1 - p)^{n-k}[/tex]
where:
n = 30 (the number of trials)
k = 25 (the number of successes we want)
p = 0.9 (the probability of success in each trial)
Plugging in the values, we get:
[tex]P(X = 25) = ^{30}C_ {25}~ 0.9^{25} ~0.1^5[/tex]
Using a calculator or statistical software, we can find that:
P(X = 25) ≈ 0.2031
Therefore,
The probability that exactly 25 students out of 30 are left-handed, assuming the researchers' claim is true, is approximately 0.2031, or about 20.31%.
Learn more about probability here:
https://brainly.com/question/14099682
#SPJ2
Two skateboarders start a race at the same time skateboarder A travels at a steady rate of 15 feet per second skateboarder B travels at a steady rate of 22 feet per second after 4 minutes how much farther will skateboarder B have traveled?
Answer:
Step-by-step explanation:
Relative speed can play a major role in creating distance between two bodies. If the relative speed between two bodies is 0, then both the bodies are moving in the same direction with a similar speed. Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.
Skateboarder A travels at a steady rate of 15 feet per second.
Skateboarder B travels at a steady rate of 22 feet per second.
We need to determine that after 4 minutes, how much farther will Skateboarder B have traveled.
The formula for finding the distance travelled by anybody is represented below
Time is given that is 4 minutes which means 240 seconds.
Thus,
Distance travelled by skateboarder A
Distance travelled by skateboarder B.
Therefore, the separation of the distance between both the skateboarders is 5280 - 3600 = 1680.
Thus, After 4 minutes, 1680 feet farther will Skateboarder B have traveled.
Answer as a each as an algebraic expression.
Answer:
is saying the half of q is 9 so you have to find out the value of q and when you find out the value for example x=18 the half of 18 is 9 I don't know if you undertand my explication
Step-by-step explanation:
18 the half of 18 is 9 because 9+9=18
Please help me.........
Answer:
8/15
Step-by-step explanation:
hope this helps!!! :D
Answer: 8/15
Step-by-step explanation: Tangent is opposite/adjacent
The hypotenuse, the longest side of a triangle which is 17. The adjacent side is the second longest which is 15. And the opposite is the shortest or the base of a triangle which is 8.
For the future, remember these:
Sin = opposite/hypotenuse
Cos = adjacent/hypotenuse
Tan = opposite/adjacent
Therefore, tan is 8/15.
Hope this helps.
Please help!! markup and markdown word problems.
1. Kathy buys a bicycle after a 30% markdown. The original price was $490.00. What did she pay?
2. Emily buys a toaster during the sale for 10% off. If Ellen pays &36, what was the original price?
Answer:
1) $343
2) $40
Step-by-step explanation:
1) Kathy paid (100 - 30)% of 490
so we can multiply 490 by 70%
490 x .7 = 343
2) let 'x' = original price
if she's saving 10% (or .10) then she's paying 90% (or .90)
.9x = 36
x = 36/.9
x = 40
3a + 5b - 4a + 2b = *
7a
23ab
a + b
-a + 7b
Answer:
-a + 7b
Step-by-step explanation:
This problem is asking you to simplify the equation.
In order to do this, we will combine like terms (like terms are terms that share the same variable and/or exponent).
So we will combine 3a and -4a to get -1a or just -a, and now we'll combine 5b and 2b to get 7b.
So all together we have -a + 7b.
Hope this helps you :)
[tex]\\ \sf\Rrightarrow 3a+5b-4a+2b[/tex]
[tex]\\ \sf\Rrightarrow 3a-4a+5b+2b[/tex]
[tex]\\ \sf\Rrightarrow (3-4)a+(5+2)b[/tex]
[tex]\\ \sf\Rrightarrow -a+7b[/tex]
[tex]\\ \sf\Rrightarrow 7b-a[/tex]
the two polygons are similar. Write a proportion and solve for x
SHOW WORK PLEASE
Answer:
Answer: 2.5
Step-by-step explanation:
It seems as if everything is divided by two so 5/2 is 2.5
What is the domain and range of this graph??
Answer: D: (-∞, ∞)
R: (-∞, ∞)
Step-by-step explanation:
Since the end points are arrows and have no set stopping point we can assume the answer is all real numbers, also known as infinity
275 gallon oil tank costs $400 to fill. How much would it cost to fill a 180 gallon oil tank?
Answer:
$261.82 per 180 gallon of oil tank.
Step-by-step explanation:
set a proportion;
400 x
------ = -----
275 180
180/275 = 0.6545454545454 x 400
= 261.81818181816
round the the nearest hundredth
A carpet cleaning company charges $55 per hour. Is the relationship a proportional relationship? Explain. Complete the table.A. Yes it has a constant rate change.B. Yes it has a constant rate of change.C. No it does not have a constant rate of change.
Answer:C
Step-by-step explanation:
sarah got a 80% on her pre algebra final exam. if there were 75 questions total how many did sarah get correc? How many did she get wrong? what percent did she get wrong?
HELP PLS
Answer: Sarah got 60 questions correct, 15 questions wrong, and she got 20% of the questions wrong.
Step-by-step explanation:
First, let's solve for how many questions Sarah got correct.
80% as a fraction can be simplified as [tex]\frac{8}{10}[/tex]. To find how many questions Sarah answered correctly, we can set up a proprtional relationship as follows:
[tex]\frac{8}{10}=\frac{?}{75}[/tex]
Next, after we cross multiply, 8 X 75 = 600, and 600 ÷ 10 = 60
So, Sarah got 60 out of 75 questions correct.
To find how many she missed, we can simply subtract 60 from 75 to get 15.
So, Sarah got 15 out of 75 questions wrong.
Finally, to find the percentage of the questions that Sarah got wrong, we can use the 15 out of 75 incorrect questions that we found earlier to create a percentage.
15 ÷ 75 = 0.2
0.2 X 100 = 20
So, Sarah got 20% of the questions wrong.
May I please receive help?
Answer:
4.8 feet
Step-by-step explanation:
a² + b² = c²
a² + 11² = 12²
a² + 121 = 144
a² = 23
a = [tex]\sqrt{23}[/tex]
a, or the height of the kite ≈ 4.8
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Given that f(x) = x² + 5x, evaluate f(-2).If g(x)=2x + 1, find g(a + h)- g(a).
[tex]\\ \sf\longmapsto f(x)=x^2+5x[/tex]
[tex]\\ \sf\longmapsto f(-2)=(-2)^2+5(-2)[/tex]
[tex]\\ \sf\longmapsto f(-2)=4-10[/tex]
[tex]\\ \sf\longmapsto f(-2)=-6[/tex]
.#2
[tex]\\ \sf\longmapsto g(x)=2x+1[/tex]
[tex]\\ \sf\longmapsto g(a)=2a+1[/tex]
[tex]\\ \sf\longmapsto g(a+h)=2(a+h)+1[/tex]
.Now
[tex]\\ \sf\longmapsto g(a+h)-g(a)[/tex]
[tex]\\ \sf\longmapsto 2(a+h)+1-2a-1[/tex]
[tex]\\ \sf\longmapsto 2a+2h+1-2a-1[/tex]
[tex]\\ \sf\longmapsto 2h[/tex]
what is a2? ai + 1=ai +1 a0=0 ?
If a₀ = 0, and [tex]a_{i + 1} = a_i + 1[/tex], then
a₁ = a₀ + 1 = 0 + 1 ⇒ a₁ = 1
and
a₂ = a₁ + 1 = 1 + 1 ⇒ a₂ = 2
i hope it helped you :P
it was easyy!!!
In a school hall 2/5 of the chairs are red 3/7
are blue and the rest are yellow
If there are 24 yellow chairs, how many chairs are blue?
Answer:
60
Step-by-step explanation:
We can use 5·7 = 35 as a common denominator for these fractions. This tells us the fraction of red chairs is 2/5 = 14/35, and the fraction of blue chairs is 3/7 = 15/35. The rest of the (35 -14 -15)/35 = 6/35 chairs are yellow. This means the ratio of chair colors is ...
red : blue : yellow = 14 : 15 : 6
Multiplying this by 4 will give 24 yellow chairs:
4·14 : 4·15 : 4·6 = 56 : 60 : 24 . . . . red : blue : yellow chairs.
60 chairs are blue.
David has a loyalty card good for a 19% discount at his local hardware store. What would his total in dollars and cents be, after the discount and before tax, if the total cost of all the items he wants to buy is $32? Round to the nearest cent.
Discounts are used to reduce the original price of an item.
David will pay $25 and 92 cents for an item of $32, before tax
The discount (d) is given as:
[tex]d =19\%[/tex]
The price (p) of the item is given as:
[tex]p = \$32[/tex]
So, the amount (A) paid before tax is calculated using:
[tex]A = p \times (1 - d)[/tex]
Substitute known values
[tex]A = \$32 \times (1 - 19\%)[/tex]
Express percentage as decimal
[tex]A = \$32 \times (1 - 0.19)[/tex]
Subtract 0.19 from 1
[tex]A = \$32 \times 0.81[/tex]
Multiply 32 and 0.81
[tex]A = \$25.92[/tex]
Hence, David will pay $25 and 92 cents for an item of $32, before tax
Read more about discounts at:
https://brainly.com/question/11538623
can someone help me with this
can y’all help me with this ?
Answer: (8, -2)
Step-by-step explanation:
the corner of the triangle which is Q when reflected would end up at (8, -2)
Answer:
(8, -2)
Step-by-step explanation:
Point Q is on (8,2).
The rule for a reflection over the x -axis is:
(x,y) -->(x,−y)
Notice how the sign of 'y' is changed. This means that point Q' would be (8, -2).
[tex]Q(8,2)\rightarrow Q'(8,-2)[/tex]
Hope this helps.
Answer 1 and 2 seriously please.
Answer:
Step-by-step explanation:
1
(x+3)+(x-1)+(x+1) = 90°
3x + 3 = 90°
3x = 90 - 3
3x = 87
x = 87/3
x = 29°
2
x + (x+104) = 180°
2x + 104 = 180°
2x = 180 - 104
2x = 76
x = 76/2
x = 38°
2(5 - 8x) -13 = 9(1 - x) -12
2 (5 - 8x) - 13 = 9 (1 - x) - 12
10 - 16x - 13 = 9 - 9x - 12
10 - 13 - 16x = 9 - 12 - 9x
- 3 - 16x = - 3 - 9x
- 3 + 3 = - 9x + 16x
0 = 7x
0/7 = x
0 = x
_____
Hope it helps ⚜
Answer:
x = 0Step-by-step explanation:
2(5 - 8x) - 13 = 9(1 - x) -12 => 10 - 16x - 13 = 9 - 9x - 12=> -3 - 16x = -3 - 9x=> 0 = 16x - 9x=> 0 = 7x => x = 0Conclusion:
Therefore, the answer is 'x = 0'
!! Hoped this helped !!
[tex]BrainiacUser1357[/tex]
let f(x)=5x+5 find f(-1)
I need your help with this. please help me
[tex]f(x) = 5x+5\\\\f(-1) = 5(-1) +5 = -5+5=0[/tex]
In the table adam recorded the miles he travled each day while traveling from Florida to California. Calculate the average rate of change between day 4 and day 6.
Table:
End of day Distance
1 383
2 682
3 1132
4 1503
5 1906
6 2196
Answers: A) 231 Miles
B) 290 Miles
C) 347 Miles
D) 440 Miles
Hi!
To calculate the rate of change between days 4 and 6, we simply take those points, (4, 1503) and (6, 2196) and use the equation in the picture below:
Now, when we plug it in the equation, it looks like this:
[tex]\frac{2196-1503}{6-4} = \frac{693}{2} = 346.5[/tex]
Therefore, your answer is 346.5 or, rounded, 347.
Meaning, your answer is C
Hope this helps and have a great day! :D