Here is the solution...
1) [tex]\sqrt[3]{135} \\[/tex]
Solution
We can rewrite [tex]\sqrt[3]{135} = \sqrt[3]{27} *\sqrt[3]{5}[/tex]
Here, [tex]\sqrt[3]{27} = 3[/tex]
Now substitute the value, we get
[tex]\sqrt[3]{135} = 3 \sqrt[3]{5}[/tex]
The answer is [tex]3\sqrt[3]{5}[/tex]
2) [tex]-5\sqrt[3]{40}
Solution
[tex]-5\sqrt[3]{40} = -5\sqrt[3]{8} *\sqrt[3]{5}[/tex]
Here [tex]\sqrt[3]{8} = \sqrt[3]{2^{3} } = 2\\[/tex]
Therefore, we get [tex]-5*2\sqrt[3]{5} = -10 \sqrt[3]{5}[/tex]
The answer is-10 \sqrt[3]{5}[/tex]
2) [tex]2\sqrt[3]{5} * 4\sqrt[3]{8}[/tex]
Solution
[tex]\sqrt[3]{8} = 2[/tex]
Now plug in the above in the given expression, we get
[tex]2\sqrt[3]{5} * 4*2 = 16\sqrt[3]{5}[/tex] {2*4*2 = 16]
The answer is [tex]16\sqrt[3]{5}[/tex]
round to the nearest hundredth 3.2649
The answer is 3.26 :D :D :D :D
The answer to rounding the number 3.2649 to the nearest hundredth is 3.26. You need to consider the digit in the thousandths place to determine if you round up or down.
Explanation:To round the number 3.2649 to the nearest hundredth, you will need to look at the digit in the thousandths place, which is 4 in this case. In rounding, if the digit is 5 or more, you round up, else you round down. Here it is 4, it's less than 5, so we round down. So, the number 3.2649 when rounded to the nearest hundredth is 3.26.
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D-I are the measurements of the lengths of the sides of triangles. Identify the types of triangles.
d. 45 cm 61 cm 60 cm
e. 30 cm, 31cm, 30 cm
f. 4 cm, 5ft, 4 cm
g. 89mm, 89mm, 89mm
h. 9 in, 5in, 3 in
i. 22cm, 22cm, 22in
The types of triangles are:
d. Scalene
e. Isosceles
f. Isosceles
g. Equilateral
h. Scalene
i. Equilateral
Here's the type of triangle for each set of measurements:
d. 45 cm, 61 cm, 60 cm:
All sides are different lengths.
Therefore, this is a scalene triangle
e. 30 cm, 31cm, 30 cm:
Two sides have equal lengths (30 cm).
This is an isosceles triangle
f. 4 cm, 5ft, 4 cm:
We need to convert feet to the same unit as cm for comparison.
1ft = 12 inches = 2.54 cm
5ft = 5 * 2.54 cm ≈ 12.7 cm
We have two sides with equal length (4 cm) and one different length (12.7 cm).
This is also an isosceles triangle
g. 89mm, 89mm, 89mm:
All three sides have the same length.
This is an equilateral triangle, a special type of isosceles triangle where all sides are equal.
h. 9 in, 5in, 3 in:
All sides have different lengths.
This is a scalene triangle
i. 22cm, 22cm, 22in:
We need to convert inches to centimeters for comparison.
22in = 22 * 2.54 cm ≈ 55.88 cm
Comparing the converted lengths, we see all sides have equal lengths.
This is an equilateral triangle
How much of an alloy that is 10% copper should be mixed with 600 ounces of an alloy that is 60% copper in order to get an alloy that is 20% copper?
Answer:
1800 oz.
Step-by-step explanation:
There are already 600 ounces of alloy of nickel.
Of this 600 oz, 50% is pure i.e. copper content = 600(0.5) = 300 oz
Now available is
Copper Other metals
300 300
Let x oz of 10% copper is added.
Then new alloy will have 300+0.1x oz copper in total of 600+x oz.
Percentage pure = [tex]\frac{300+0.1x}{600+x} =20%[/tex]
Simplify to get
[tex]\frac{300+0.1x}{600+x} =\frac{20}{100} \\\\Cross multiply:\\20(600+x) =100(300+0.1x)\\12000+20x =30000+10x\\10x = 18000\\x = 1800[/tex]
Hence answer is 1800 oz should be added.
Plot the line for the equation on the graph. y−4=−14(x−5)
Answer:
Where do I plot it
Step-by-step explanation:
Answer:
Answer: Hopefully this helps other people! :) I got it right on the test!
Which ordered pair is a solution of the equation Y=- 7X +2
Answer:
neither
Step-by-step explanation:
The number of employees of a company decreased from 225 to 189. Find the percent decrease
The number of employees at the company decreased by 16%. This was calculated by first finding the decrease in number of employees (36) and then calculating this as a percentage of the original number of employees.
Explanation:To find the percent decrease in the number of employees at the company, you need to follow these steps:
First determine how many employees there has been a decrease by subtracting the final number of employees from the original number. So 225 - 189 = 36.Next, calculate the percentage that this decrease represents out of the original number. You do this by dividing the decrease by the original number and then multiplying the result by 100 to get a percentage. So (36/225) * 100 = 16%.So the number of employees at the company decreased by 16%.
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what is the mean of 5,10,15,20,25
5+10+15+20+25=75
75/5=15
15 is the mean
5+10+15+20+25=75
Your mean will be 75
Then divide by 5 = 15
Your answer will be 15
Olivia ordered cupcakes and a layer cake. Together she paid $52. She paid $12 more on the layer cake than on the cupcakes. What was the price of each?
Hey there!!
The total cost is $52.
She paid $12 more for the layer cake than the cupcake.
Let's take the price of the cupcake as $x. Then, the price of the layer cake would be $12 + x
The sum of these would result in $52.
... x + x + 12 = 52
... 2x + 12 = 52
... 2x = 52 - 12
... 2x = 40
... x = 20
Hence, the price of the cupcake is $20 and the price of the layer cake is $32.
Hope my answer helps!!
Find the difference between x+5 and 2x+3
Answer:
The difference between the given expressions would be [tex]x - 2[/tex]
Step-by-step explanation:
Given phrase,
Difference between x+5 and 2x+3,
[tex]( 2x + 3 ) - (x + 5)[/tex]
[tex]=2x + 3 - x - 5[/tex] ( By distributive property )
[tex]=x - 2[/tex] ( By combining like terms )
Hence, the required difference would be [tex]x-2[/tex]
2x+5y=35 x=-10-15y. what value of x satisfies the system of equations?
Which line is a graph of the equation: 2x + 5y = –10? Number graph ranging from negative five to five on the x axis and negative six to two on the y axis. Four lines are drawn in blue on the graph. Lines a and c have a positive slope and are parallel to each other. Lines b and d have a negative slope and are parallel to each other. Lines a and b intersect at (zero, two), and lines c and d intersect at (zero, negative two). A. line a B. line b C. line c D. line d
First we find the slope of the given line by using slope intercept form.
Converting the equation into slope intercept form
[tex] 5y=-2x-10[/tex]
Divide both side by 5 we get
[tex] y==-\frac{2}{5}-2[/tex]
On comparing with [tex] y=mx+c[/tex]
We get slope [tex] m=-\frac{2}{5}[/tex]
as the slope of line is negative therefore the line will either "b" or "d"
As line "b" pass from (0,2)
On putting it in given equation we get
[tex] 2(0)+5(2)=10[/tex]
Which is not equL to RHS of the line
Therefore b is not the given line
Now putting point (0,-2)
We get [tex] 0+5(-2)=-10[/tex]
Satisfy the equation and line "d" pass from it
There the give equationis of line "d"
Answer:the answer is line D
Step-by-step explanation:took the test and got it right
Need help with number 60 plz. Multi-step math :)
Problem 60)
Solution
Part 1
Joy earns $8 per hour. She earns $128 per month.
The number of hours worked in each month = 128/8 = 16 hours.
She works 16 hours each month in order to earn $128.
Part 2
After six months she gets a $2 per hour raise.
Now her earning per become $10.
She works 16 hours each month.
Joy earning per month = 16*10 = $160.
Hope you will understand the solution. Thank you :)
Pls help forgot to do this
The surface area of a rectangular prism is the sum of the areas of its faces added together. From the picture, we can see that the prism is constructed of 4 faces that measure 7 cm by 9 cm and 2 faces that measure 7 cm by 7 cm.
The area of one 7 cm by 9 cm face is 63 cm². Together, all four of the faces add up to 252 cm².
The area of one 7 cm by 7 cm face is 49 cm². Together, the two faces add up to 98 cm².
Using these areas, we can say that the total surface area of the prism would be 252 cm² added to 98 cm², or 350 cm².
Simplify 3m^2(10+m) PLEASE HELP
3m^2 (10+m)
Use FOIL
3m^2*m=3m^3
3m^2*10= 30m^2
Answer: 3m^3 + 10m^2
Solution :
Given expression [tex]3m^{2}(10+m)[/tex]
To simplify this expression, first we need to know about the Distributive property.
Distributive Property: [tex]a\times(b+c)=(a\times b)+(a\times c)[/tex]
Given expression [tex]3m^{2}(10+m)[/tex]
Applying Distributive property on this expression -
[tex]\Rightarrow 3m^{2}(10+m)=(3m^{2}\times10)+(3m^{2}\times m)[/tex]
[tex]= 30m^{2}+3m^{3}[/tex]
Simplified form of [tex]3m^{2}(10+m)[/tex] is [tex]30m^{2}+3m^{3}[/tex]
12y+d=−19y+t
Solve for y
Hi!
Solve for d.
[tex]12y+d=-19y+t[/tex]
Subtract by 12y from both sides.
[tex]12y+d-12y=-19y+t-12y[/tex]
[tex]Answer---> d=-31y+t[/tex]
Solve for y.
Add 19y from both sides.
[tex]d+12y+19y=t-19y+19y[/tex]
[tex]d+31y=t[/tex]
Add d from both sides
[tex]d+31y+-d=t+-d[/tex]
[tex]31y=-d+t[/tex]
Divide by 31 from both sides.
[tex]\frac{31y}{31}=\frac{-d+t}{31}[/tex]
[tex]Answer ----> y=\frac{-1}{31} d+\frac{1}{31}t[/tex]
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
I need help with the question above in the picture
First you would need to simplify.
4³=64
100/24=4
5 ^0= 1 (anything to the power of 0 is 1)
So your equation now looks like 64 * 4 - 1
Your answer would be 255.
PEMDAS: Parentheses, Exponents, Multiplication & Division, Addition & Subtraction. This is the order that operations are to be performed.
First, Parentheses
4³ * [tex](\frac{100}{25})[/tex] - 5⁰
= 4³ * 4 - 5⁰
Next, Exponents
4³ * 4 - 5⁰
= 64 * 4 - 1
Then, Multiplication & Division
64 * 4 - 1
= 256 - 1
Last step, Addition & Subtraction
256 - 1
= 255
Answer: 255
Y - 3 = 4(x + 12) slope and y intercept
The y-intercept will be (0,51)
In case, if you want the x-intercept it will be (-51/4,0)
If you roll a die, what is the probability that a one will appear on top
you will have a 1 in 6 chance to roll a 1 on a die
A standard Die has 6 sides.
The probability of any number being on top is 1/6.
The probability of having a one on top would be 1/6.
A bookstore manager marks down the price of older hardcover books,which originally sell for b dollars,by 46 percent. What is the markdown as a decimal. Write an expression for the sale price of the hardcover book. What is the same price of a hardcover book for which the original retail price was $29.00? If you buy the book in part c, how much do you save by paying the sale price?
We are given original selling price of book = $b.
Price is marked down by 46%.
46% can be written as 46/100 in decimals it would be 0.46.
Therefore, markdown as a decimal is 0.46
Now, markdown is 0.46 of original price = 0.46b
Therefore, new price after marked down can be written by expression =
b - 0.46b = 0.56b.
Therefore, the expression for the sale price of the hardcover book is 0.56b.If original retail price was = $29.00.
The sale price would be 0.56b = 29*0.56 = $15.66.
Total saving = 29-15.66 = $13.34.
Therefore, you save $13.34 by paying the sale price $15.66.
Where does 56 come from ?
which fraction is not equivalent 30\48
The answer is C. 20/38
The number a times 10 to the power of negative 2 is about 8 times greater than b times 10 to the power of negative 3. Find the correct value of a and b.
A. a = 3.1 and b = 2.5
B. a = 2.5 and b = 3.1
C. a = 2 and b = 1.2
D. a = 1.2 and b = 2
Answer:
c
Step-by-step explanation:
The correct values of a and b are a = 3.1 and b = 2.5, which corresponds to option A.
To solve the question, we need to set up an equation using the information given. Here's a step-by-step explanation:
a * 10^-2 = 8 * b * 10^-3Divide both sides by 10^-3 to simplify the equation: a * 10 = 8 * bPlugging in the values for a and b from option A, we get 3.1 * 10 = 8 * 2.5, which is true.Therefore, a = 3.1 and b = 2.5, matching option A.In a recent year the total sales at a restaurant a bar $350,000 worth in at restaurant be. Total sales at the two stores were $575 million. What were the sales for the year at each store?
Subtract the difference from the total:
575,000,000 - 350,000 = 574, 650, 000
Divide the difference by 2:
574, 650, 000 / 2 = 287,325,000
That is the lower one, then add the difference for the higher one:
Restaurant A = $287,325,000 + $350,000 = $287, 675,000
Restaurant B = $287,325,000
Evaluate the expression when x = 2
If ƒ( x )= 2 x 2 + 3, then ƒ( x - 1)= 2 x 2 + 4 x + 5.
True or False
The value of function f(x - 1) = 2x² + 4x + 5 is not true.
Here,
The function is given as;
f (x) = 2x² + 3
And, f(x - 1) = 2x² + 4x + 5
We have to check the value of f(x - 1) is true or not.
What is substitution method?
To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Now,
The function is;
f (x) = 2x² + 3
To determine the value of f (x - 1), we can put (x -1) in place of x as;
f (x) = 2x² + 3
f (x - 1) = 2(x - 1)² + 3
f (x - 1) = 2(x² + 1 - 2x) + 3
f (x - 1) = 2x² + 2 - 4x + 3
f (x - 1) = 2x² - 4x + 5
Hence, The value of function f(x - 1) = 2x² + 4x + 5 is not true.
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Solve the system by the substitution method.
X+Y=-3
Y=-4x
x = 1, y = - 4
substitute y = - 4x into the other equation
x - 4x = - 3
- 3x = - 3 ( divide both sides by - 3 )
x = 1
substitute x = 1 into y = - 4x ⇒ y = - 4
Benito saves $6 out of every $20 he earns. He earned $90 one month. How much did he save?
Set up a proportion:
6/20 = x/90
Meaning 6 saved over 20 and x saved over 90
Cross multiply
540 = 20x
x = 27
He saved $27
How to solve |3x-6|<30
[tex]|3x-6|<30 \\\\|x-2|<10\\\\x-2<10 \wedge x-2>-10\\\\x<12 \wedge x>-8\\\\x\in(-8,12)[/tex]
[tex]Solution, solve\:for\:x,\:\left|3x-6\right|<30\quad :\quad -8<x<12[/tex]
[tex]Steps:[/tex]
[tex]|f\left(x\right)|<a\quad \Rightarrow \:f\left(x\right)<a\quad \mathrm{and}\quad \:f\left(x\right)>-a, 3x-6<30\quad \quad \mathrm{and}\quad \:\quad \:3x-6>-30[/tex]
[tex]3x-6<30\quad :\quad x<12[/tex]
[tex]3x-6>-30\quad :\quad x>-8[/tex]
[tex]\mathrm{Combine\:the\:ranges}, -8<x<12[/tex]
The correct answer is -8<x<12
What is the least common denominator for the fractions 1/3 and 2/9
the LCD of the two is 9 what you do is this so 1/3,2/9 is simple its 1/3 2/3 1 then lets try the 2/9 2/9 4/9 6/9 and keep doing that until they both reach the SAME number.
The LCD (Least common denominator) is 9,
For the denominators (3, 9) the least common multiple (LCM) is 9.
Therefore, the least common denominator (LCD) is 9.
Hope This Helps :D
18.A ________ change occurred when a metal changed Color because it reacted with another substance.
The answer is a chemicl change.
A chemical change occured when a metal changed color because it reacted with another substance.
Mr. McKay spent $2.60 for a box of crackers and then divided them evenly between the s students in his class. Write an expression for the cost of the crackers for each student. Find the cost for s=20 students
$2.60 was spent on a box of crackers. s = 20 students.
Let's have C be the cost of crackers for each student. To find the cost, we divide the total amount of money (2.60) by the number of students (20)
C = 2.6/20
C = 0.13
The cost of the crackers for each student in Mr. McKay's class, if divided evenly, would be $0.13 when there are 20 students.
Explanation:Mr. McKay's expenditure on the box of crackers can be written as an arithmetic expression where the total cost is divided by the number of students. This expression is 2.6 / s. By substituting the given number of students (s=20), we find that the cost of the crackers for each student is 2.6 / 20 = $0.13. Therefore, each student should pay $0.13 if the cost of the crackers is to be divided evenly among them.
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