Answer:
x=65
y=32
Step-by-step explanation:
2x+x-15=180
combine like terms
3x-15=180
add 15 to both sides
3x=195
divide both sides by 3
x=65
now y's
4y+y+20=180
combine like terms
5y+20=180
subtract 20 from both sides
5y=160
divide both sides by 5
y=32
Answer:
x = 65
y = 32
Step-by-step explanation:
2x + (x - 15) = 180
2x + x - 15
3x - 15 = 180
+15 +15
-------------------
3x = 195
÷3 ÷3
----------------
x = 65
4y + (y + 20) = 180
4y + y + 20 =180
5y + 20 = 180
-20 -20
---------------------
5y = 160
÷5 ÷5
---------------
y = 32
2x + (x - 15) + 4y + (y + 20) = 360
2(65) + (65 - 15) + 4(32) + (32 + 20) = 360
130 + 50 + 128 + 52 = 360
180 + 180 = 360
360 = 360
I hope this helps!
Select the correct answer from the drop-down menu.
The solution set for 6a²-a-5=0 is
(2,-5/6)
{2,-12/5)
{-1,-5/6)
(1.-5/6)
Answer:
{1, -5/6}
Step-by-step explanation:
(6a+5)(a-1) = 0
6a+5 = 0 (or) a-1 = 0
a = -5/6 (or) a = 1
is 0.49 a rational or irrational number?
(please explain how you know this)
Answer:
Rational
Step-by-step explanation:
there are very few irrational numbers, such as
[tex] \sqrt{2} [/tex]
or π
most of irrational numbers have a lot of decimal digits. And also numbers with 2 decimal digits are all rational because you can write them as
[tex] \frac{49}{100} [/tex]
Stella went shopping for a new camera because of a sale. The store was offering a 20% discount. If the price on the tag was $23, what would be the price after the discount but before tax, to the nearest dollar and cent?
The price after the discount but before tax, to the nearest dollar and cent, is $18.4.
Given Information:
Price on the tag = $23
Amount of Discount =20%
A % or Percentage is a figure or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). A % lacks dimensions and has no associated unit of measurement.
Percentage Formula =[tex]\frac{value}{Total value} *100[/tex]
Calculating the discount,
There is a 20 % discount on the camera
So, the amount of discount by using the percentage formula = [tex]\frac{20*23}{100} = 4.6[/tex]
Hence, the amount of discount is $4.6
Subtracting the discount to calculate the price after the discount =
Initial Price - Discount amount = $23-$4.6 = $18.4
Thus, the price after the discount is $18.4
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Michael is going on a 3150 mile drive. He needs to stop for gas every 320 miles. How many times will he need to stop?
Which is the graph of g(x)?
Which graph
Answer:
Option D.
Step-by-step explanation:
We are given with three function.
Plug in x=-2 in first functionf(x)= 3 so f(-2) = 3Plug in x=-2 in second function.
◄) Add.
8/11+6/11+6/11+7/15
Answer:
[tex]\frac{377}{165}[/tex] or 2 [tex]\frac{47}{165}[/tex]
Step-by-step explanation:
Pls, Help Right Now For 10!!!!!!!
Answer:
9
01000101010101010101011101010110110101011010
10101010101010110101101010101011011001010101
10101010100101010101010101101101101010101010
a wire of length 38 m is divided into two pieces and each piece is bent into a square. how should this be done in order to minimize the sum of the areas of the two squares? (give your answer in the form of a comma separated list of the lengths of the two pieces.)
The lengths of the two pieces of a wire will be 19,19.
Define square.A square is a closed, two-dimensional object with four equal sides and four vertices. On either side, it has parallel sides.
The square of a square's side determines its area.
Given data -
Length of a wire = 38 m
As the wire is divided into two pieces,
Let the length of two pieces of wire be x and y m respectively.
As per given data, x + y = 38
Therefore, y = 38 - x
As each piece is bent into a square, area of squares will be
[tex](x/4)^{2}[/tex] and [tex](y/4)^{2}[/tex]
Therefore, the sum of areas of two squares will be A = [tex](x/4)^{2}[/tex] + [tex](y/4)^{2}[/tex]
A = [tex]x^{2}[/tex]/16 + [tex]y^{2}[/tex]/16
A = [tex]x^{2}[/tex]/16 + [tex](38-x)^{2}[/tex]/16
By differentiating, we will get
A' = [tex]\frac{2x}{16}[/tex] - [tex]\frac{2(38-x)}{16}[/tex]
In order to minimize the the sum of the areas of the two squares, we will take A' = 0
0 = x - (38 - x)
2x = 38
x = 19
Therefore y = 19
The length of two pieces of a wire should be 19 m each.
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Zane is making chew toys for his puppy. He uses 2/5 yd of rope to make one toy, Zane has 2 yd of rope to use. What model can show how many 2/5 s fit into 2yd?
Answer:
5
Explanation:
When we divide A by B, we are calculating how many Bs fit into A. So, if we want to know how many 2/5s fit into 2 yds, we need to divide 2 by 2/5. So:
[tex]\frac{2}{\frac{2}{5}}=\frac{\frac{2}{1}}{\frac{2}{5}}=\frac{2\times5}{1\times2}=\frac{10}{2}=5[/tex]So, 2 yds of rope can be divide into 5 ropes of 2/5 yd.
These marbles are placed in a bag and two
of them are randomly drawn.
What is the
probability of drawing two pink
marbles if the first one is NOT placed back
into the bag before the second draw?
Give your answer as a rational number, reduced to
simplest terms.
Hint: Multiply the probability of the 1st Event by the
probability of the 2nd Event to
get your answer.
Enter
If the first marble is not reinserted into the bag before the second draw, there is 1/15 probability of drawing two pink marbles.
What are dependent events?When the result of one event affects the result of another, two events are said to be dependent. The likelihood of two connected events is the sum of the probabilities of the occurrences X and Y that happen after X.
It is given that there are two yellow, three pink and 5 blue marbles.
So, in the first draw, the probability of drawing pink marble is the ratio of the number of pink marbles to the total number of marbles in the bag.
[tex]p_1=\frac{3}{10}[/tex]
Now, in the second draw, the probability of drawing pink marbles will be affected as it is not kept back. So, in the second draw, the probability of drawing pink marble is the ratio of the number of remaining pink marbles to the remaining number of marbles in the bag.
[tex]p_2=\frac{2}{9}[/tex]
Given that both occurrences occur concurrently, multiply the likelihood of the first event by the probability of the second event.
[tex]p=p_1\times p_2\\\\=\frac{3}{10}\times\frac{2}{9}\\\\ =\frac{1}{15}[/tex]
So, If the first marble is not reinserted into the bag before the second draw, there is 1/15 probability of drawing two pink marbles.
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Please help me solve
2/3|4v+6|-2<10
Answer:
-6<v<3
Step-by-step explanation:
hope this helps
24 students in a class took an algebra test
If 18 students passed the test, what percent passed
Answer:
only 75% of the class or students passed the algebra test
Answer: 75%
Step-by-step explanation: The equation for percentages is: part = percent • whole.
We can use our given values and plug them into the equation to solve for our percent.
In this problem, the “part” is 18, and our “whole” is 24, since the whole class has 24 people, and part of the class (18) passed.
P = % • W
18 = % • 24
(to solve for %, we have to get isolate it, or get rid of the • 24. We use division, the opposite operation, to cancel our • 24.)
18 = % • 24
÷24 ÷24
0.75 = %
Since percents are out of 100, we have to multiply 0.75 by 100.
0.75 • 100 = 75%
I hope this helped!
Claire drove 204 miles in 4 hours. If she continued at the same rate, how far would she travel in 13 hours?
Answer:
15 hours
Step-by-step explanation:Easy math
Answer:
663
Step-by-step explanation:
Good luck on this
Find the LCM of 6, 24 and 32
Answer:
96
Step-by-step explanation:
izzes
The radius of a circle is 4 centimeters. What is the area of a sector bounded by a 45° arc?
45⁰
The area of the sector is 6.28 cm².
What is a sector?A sector is referred to as a component of a circle made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radii of the circle at its ends. A slice of pizza or a pie can be used as an analogy for the shape of a circle's sector.So, the area of the sector:
The formula for the area of the sector: θ/360 πr²Where θ is 45° and r is 4cm.Now, substitute the values in the formula as follows:
θ/360 πr²45/360 π4²1/8 π16π2(Let π be 3.14)
π2 = 6.28Therefore, the area of the sector is 6.28 cm².
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16047 divide by 60
4620 divide by 250
52080 divide by 15
brainleiest
Answer:
1) 267.45
2) 18.48
3) 3472
what is the quotient of 3.7x10^3 and 1.4x10^6 in scientific notation
What is The sum of two consecutive even integers divided by four is 1895
Answer:
I don't understand what the question is asking, so just see if you can get something from what I wrote below.
Step-by-step explanation:
Call the first number x and the next one x+2.
(x+ (x+2))/4 = 1895
Multiply by 4 on both sides...
x+(x+2) = 7580
Simplify on the left side...
2x+2 = 7580
2x = 7578
Divide by 2...
x = 3,789
x+2 = 3791
What does (1,12) mean in this situation
Write an expression equivalent to \frac{9^5}{9^3} in the form of b^n.
The expression that is equivalent to \frac{9^5}{9^3} is 9^2.
What is an expression?It should be noted that an expression is simply used to shoe the relationship between the variables that are illustrated.
In this case the given expression is 9^5 / 9^3. It should be noted that when dividing powers, we have to subtract them. Therefore, 5 - 3 = 2.
The value will be:
= 9^5 / 9^3
9^2
The expression is 9^2.
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What is a x? Show your work
Answer:
a value that is not yet shown
Step-by-step explanation:
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show me the standard algorithm for 546 divided by 13
The value of the quotient expression 546 ÷ 13 is 42
How to evaluate the expressions?The expression is given as
546 divided by 13
Rewrite the expression as
546 ÷ 13
By the standard algorithm, we have
The expression can be solved using a calculator and with the use of standard algorithm i.e. partial decomposition
By the rule of partial decomposition, we have
a ÷ b = (c ÷ d) ÷ b
Where
a = c + d
Next, we expand the expression as follows:
546 ÷ 13 = (520 + 26) ÷ 13
Remove the brackets
So, we have
546 ÷ 13 = 520 ÷ 13 + 26 ÷ 13
Evaluate the quotients
So, we have
546 ÷ 13 = 40 + 2
Evaluate the sum
So, we have
546 ÷ 13 = 42
Hence, the solution of 546 ÷ 13 is 42
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Victoria is studying the population of the town of Oak Hills for a class project. Based on census data, she found that the equation p = 660n + 14,400 can be used to estimate the population, p, of Oak Hills n years after the year 1900. What will be the estimated population of Oak Hills in the year 2100?
A. 3,012,000
B. 146,400
C. 15,300
D. 132,000
Answer:
Step-by-step explanation:
2100 - 1900 = 200
660(200) + 14,400
p = 146400
146,400 people
The answer is B
Sam counted 12 liters of hand sanitizer in the storage cabinet . He fills the seven of the examination rooms as follows : 350 mL , 600 mL , 475 mL, 580 720 , and 500 mL .a)How many total milliliters did sam use to fill the dispensers?B) After filling the dispensers, how many liters of sanitizer remain in the storage cabinet?
a) To know the total millilites that sam use to fil the dispenser, we will have to add all the seven amount filled as shown;
Total (in milliliters) = 350 mL + 600 mL + 475 mL + 580mL + 720mL + 500 mL
Total (in milliliters) = 3225mL
Hence the total milliliters that sam use to fill the dispensers is 3225millilitres
b) The amount liters of sanitizer remaining will be 12litres - 3225mL
Convert 3225mL to litres
3225mL = 3225/1000 Litres
3225mL = 3.225litres
The amount liters of sanitizer remaining = 12 - 3.225
The amount liters of sanitizer remaining = 8.775litres
in a sale , normal prices are reduced by 17%. the normal price of a washing machine is reduced by £42.50. work out the sales price of the washing machine
The sales price of washing machine is 250.
What is sales price?The price at which something sells or is offered for sale after having its price lowered is known as sales price.
A sale price is the reduced cost at which goods or services are offered for sale. Typically, this price is provided for a brief period of time in an effort to boost sales during a slow period or get rid of extra inventory.
The promotional price is indicated as a percentage off of the standard list price.
Let x be the sales price of washing machine, then as per given
17% of x = 42.5
(17/100) * x =42.5
x = 250
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Nerissa has 5 pink bows, 1 blue bow, and 4 purple bows in a box. She will randomly choose 1 bow from the box.
What is the probability Nerissa will choose a purple bow?
1/2
2/5
1/10
3/5
Answer: 2/5 is
Step-by-step explanation: 2/5 is equal to 40% and there is 10 bows
Erin loves to play sports. In all, she has earned 3 tennis trophies, 4 basketball trophies, 7 soccer trophies, and 1 volleyball trophy.
What is the ratio of Erin's tennis trophies to all of her trophies?
A) 3:4
B) 3:7
C) 3:12
D) 3:15
Step-by-step explanation:
option D is correct..
can we become friends???
use the commutative law of multiplication to rewrite 146 x 48
Step-by-step explanation:
146 × 48 = 48 × 146
due to the commutative law of multiplication the sequence of the operands of a multiplication does not matter.
a × b = b × a
this bases on the fact that a multiplication is nothing else than a special kind of addition
a × b = add a b times; or add b a times.
and as already the addition follows the commutative law
a + b = b + a
so, does then the multiplication.
Find the domain and range: y=(x-5)/(2x+4)
The most appropriate choice for function and domain and range of a function will be given by -
Domain of y = [tex]\mathbb{R} -[/tex] {[tex]-\frac{1}{2}[/tex]}
Range = [tex]\mathbb{R}-[/tex]{[tex]\frac{1}{2}[/tex]}
What is a function and domain and range of a function?
A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.
There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.
The set of values for which the function is defined is the domain of the function and the values obtained on substituting the values of domain in the function is the range of the function.
y = [tex]\frac{x -5}{2x + 4}\\[/tex]
For domain of y
y is not defined if 2x +4 = 0
y is not defined if [tex]x = -\frac{1}{2}[/tex]
Domain of y = [tex]\mathbb{R} -[/tex] {[tex]-\frac{1}{2}[/tex]}
For range of y
let [tex]\frac{x -5}{2x + 4}\\[/tex] = z
[tex]x - 5 = z(2x +4)\\x - 5 = 2zx + 4z\\x - 2zx = 4z + 5\\x(1 - 2z) = 4z + 5\\x = \frac{4z + 5}{1 - 2z}[/tex]
If y = [tex]\frac{1}{2}[/tex]
[tex]\frac{x-5}{2x + 4} = \frac{1}{2}\\2x - 10 = 2x + 8\\-10 = 8\\[/tex]
Not possible
[tex]\frac{1}{2}[/tex] is not in the range of y
Range = [tex]\mathbb{R}-[/tex]{[tex]\frac{1}{2}[/tex]}
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What is the fractional equivalent of the repeating decimal n = 0.1515... ? Answer the questions to find out.
1. How many repeating digits does the number represented by n have? (2 points)
ill give 100 points and maybe brainlist
The fractional equivalent of the repeating decimal n = 0.1515... is 5/33, with two repeating digits.
What is a fractional equivalent?A fractional equivalent is a fraction that shares the same equivalent value with a decimal.
For instance, the equivalent fraction of 0.1515 is 303/2000. But for a repeating decimal like 0.1515..., the equivalent fraction is 5/33.
When numbers or values are said to be equivalent, it means that they are equal.
By their nature, repeating decimals continue endlessly.
Let x = 0.1515... equation 1
100x = 15.1515... equation 2
Subtract equation 1 from equation 2:
100x = 15.1515...
x = 0.1515...
99x = 15
x = 15/99
x = 5/33
Thus, n = 0.1515... as a repeating decimal or 5/33 as a fraction.
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