Answers
Step-by-step explanation:
line QS = RS
line KJ = half of line KC
Related Questions
Jaime has $2. 60 in dimes and nickels. The number of dimes is 14 more than the number of nickels. How many of each coin does he have?.
Answers
Dime is one-tenth of a dollar, while nickle is one-twentieth part of a dollar. Jaime has got 22 dimes and 4 nickle coin in this case.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For the given case, since number of dimes is given in terms of number of nickels, so lets assume that:
Number of nickle Jaime got = [tex]x[/tex]Number of dime Jaime got = 14 more than the number of nickle = [tex]14 +x[/tex]Since 1 nickle's cost = $0.05,
thus, x nickles' cost = [tex]x \times 0.05[/tex] (in dollars)
And as 1 dime's cost = $0.10,
thus, 14 + x dimes' cost = [tex]0.10 \times (14 + x)[/tex] (in dollars)
Total amount Jamie have = Amount by nickles + Amount by dimes
Total amount Jamie have = [tex]0.10(14+x) + 0.05x[/tex] (in dollars) = $2.60 (as given in the problem)
Thus, we get:
[tex]0.10 (14+x) + 0.05x = 2.60\\1.4 + 0.10x + 0.05x = 2.60\\\\\text{Subtracting 1.4 from both the sides}\\\\0.15x = 1.2\\\text{Dividing both the sides by 0.15}\\\\\dfrac{0.15x}{0.15} = \dfrac{1.2}{0.15}\\\\x = 8\\[/tex]
Thus, Jamie got x = 8 nickles.
And number of dimes he got = x + 14 = 8 + 14 = 22
Thus, Jaime has got 22 dimes and 4 nickle coin in this case.
Learn more about forming equations here:
https://brainly.com/question/11938672
Which of the following is equal to the fraction below?
Answers
Answer:
C
[tex] {( \frac{a}{b}) }^{n} = \frac{ {a}^{n} }{ {b}^{n} } \\ so \\ {( \frac{5}{9} )}^{8} = \frac{ {5}^{8} }{ {9}^{8} } [/tex]
I genuinely have no idea
Answers
Answer:
10/13/17
15/15/22
Step-by-step explanation:
I may of made some mistakes but I tried, I hope this helps you.
Which expressions are equivalent to 2 ln a 2 ln b - ln a? Check all that apply. Ln ab2 - ln a ln a 2 ln b ln a2 ln b2 - ln a 2 ln ab ln ab2.
Answers
Equivalent expressions are expressions with same simplified form. Equivalent expressions for the given expression are;
Expression 2: [tex]\ln(a) + 2\ln(b) = \ln(a) + \ln(b^2) = \ln(ab^2)[/tex]Expression 3: [tex]\ln(a^2) + \ln(b^2) - \ln(a) = \ln(a^2b^2/a) = \ln(ab^2)[/tex]Expression 5: [tex]\ln(ab^2)[/tex]What are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.
To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.
What is logarithm and some of its useful properties?When you raise a number with an exponent, there comes a result.
Lets say you get
[tex]a^b = c[/tex]
Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows
[tex]b = log_a(c)[/tex]
Some properties of logarithm are:
[tex]log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1\\\\ log_a(b) + log_b(c) = log_a(c)[/tex]
Log with base e = 2.71828.... is written as [tex]\ln(x)[/tex] simply.
The expression given is [tex]2\ln(a) + 2\ln(b) - \ln(a)[/tex]
We get its simplified form as
[tex]2\ln(a) + 2\ln(b) - \ln(a) = \ln(a) + \ln(b^2) = \ln(ab^2)[/tex]
Simplifying given expressions:
Expression 1: [tex]\ln(ab^2) - \ln(a) = \ln(ab^2/a) = \ln(b^2)[/tex]This isn't same as simplified form of original
. Thus , this expression is not equivalent to the given expression.
Expression 2: [tex]\ln(a) + 2\ln(b) = \ln(a) + \ln(b^2) = \ln(ab^2)[/tex]This is same as simplified form of original expression. Thus , this expression is equivalent to the given expression.
Expression 3: [tex]\ln(a^2) + \ln(b^2) - \ln(a) = \ln(a^2b^2/a) = \ln(ab^2)[/tex]This is same as simplified form of original expression. Thus , this expression is equivalent to the given expression.
Expression 4: [tex]2\ln(ab) = \ln((ab)^2) = \ln(a^2b^2)[/tex]This isn't same as simplified form of original expression. Thus , this expression is not equivalent to the given expression.
Expression 5: [tex]\ln(ab^2)[/tex]This is same as simplified form of original expression. Thus , this expression is equivalent to the given expression.
Thus, equivalent expressions for the given expression are;
Expression 2: [tex]\ln(a) + 2\ln(b) = \ln(a) + \ln(b^2) = \ln(ab^2)[/tex]Expression 3: [tex]\ln(a^2) + \ln(b^2) - \ln(a) = \ln(a^2b^2/a) = \ln(ab^2)[/tex]Expression 5: [tex]\ln(ab^2)[/tex]Learn more about equivalent expressions here:
https://brainly.com/question/10628562
Answer:
B,C, and E is correct. Next answer is C and D.
Step-by-step explanation:
1. Daniel is working on a project for his math class. He is working with the rational
parent function. He wants to write a rule that will make the graph vertically
stretched, reflect it over the x-axis, and shift the graph down. Which of the
following would meet Daniel's needs?
Answers
Using translation concepts, it is found that the function that would meet Daniel's needs is:
g(x) = -cf(x) - b, c > 1, b > 0
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is f(x).
The transformations are as follows:
Vertical stretch, hence the function has to be multiplied by a constant c that is greater than 1, that is, [tex]g(x) = cf(x), c > 1[/tex].Reflection over the x-axis, hence the function is multiplied by -1, that is, [tex]g(x) = -cf(x), c > 1[/tex].Shift down, hence a constant b is subtracted from the graph, that is, [tex]g(x) = -cf(x) - b, c > 1, b > 0[/tex].You can learn more about translation concepts at https://brainly.com/question/21197885
WILL GIVE BRAINLIEST FOR HELP
(5x3−2x2+3x−8)-(3x2−4x−1) and then the result of that minus 4x − x2 + 5
Answers
Answer:
-15x^5 + 26x^4 - 12x^3 + 35x^2 - 33x - 3
Step-by-step explanation:
(5x^3 - 2x^2 + 3x - 8) + (-3x^2 + 4x + 1)
do foil but with extra terms
-15x^5 + 20x^4 + 5x^3
+6x^4 - 8x^3 - 2x^2
-9x^3 + 12x^2 + 3x
+ 24x^2 - 32x - 8
combine like terms
(-15x^5 + 26x^4 - 12x^3 + 34x^2 - 29x - 8) - (4x - x^2 + 5) or -4x + x^2 - 5
-15x^5 + 26x^4 - 12x^3 + 35x^2 - 33x - 3
Answer:
[tex]x^3-4x^2+3x-12[/tex]
Step-by-step explanation:
[tex](5x^3-2x^2+3x-8)-(3x^2-4x-1)\\\implies 5x^3-2x^2+3x-8-3x^2+4x+1\\\implies 5x^3-5x^2+7x-7[/tex]
[tex](x^3-5x^2+7x-7)-(4x-x^2+5)\\\implies x^3-5x^2+7x-7-4x+x^2-5\\\implies x^3-4x^2+3x-12[/tex]
What is the equation of the line that passes through the points (6,6) and (9,8)?
Answers
Answer:
[tex]y=\frac{2}{3}x+2[/tex]
Step-by-step explanation:
The equation for a line is:
y=mx+b
m=slope
b=y-intercept
x,y=(x,y) coordinate pair
Start by finding the slope. The equation for slope is...
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the given coordinates into the equation
[tex]Slope=\frac{8-6}{9-6}=\frac{2}{3}[/tex]
Now, we can use the slope and an x,y coordinate pair to find the y-intercept...
y=mx+b
6=2/3(6)+b
6=12/3+b
6=4+b
Subtract 4 from both sides
b=2
Therefore the equation is...
[tex]y=\frac{2}{3}x+2[/tex]
what is the area of this trapezoid. Enter your answer in the box.
Answers
Answer:
[tex]352\ ft ^2[/tex]
Step-by-step explanation:
The formula for the area of a trapezoid is:
[tex]A=\frac{b_1+b_2}{2}*h[/tex]
In this case [tex]b_1 b_2[/tex] represent the two bases of the trapezoid.
We can plug in the given lengths into the equation:
[tex]A=\frac{13+31}{2}*16=\frac{44}{2}*16=22*16=352\ ft^2[/tex]
Answer:
352 ft
Step-by-step explanation:
to do area of a trapezoid you do: (a+b) *h/ 2
a would be 13 b would b 31 and h would be 16 : (13+31) * 16/2
now you will have 44*16/2
now you have 704/2
your final answer is 352
1/3 rd part of the length of a bamboo is coloured in red and 1/5th part of it is coloured green and the remaing is 14m is coloured in yellow. lets find the length f the bamboo (step by step)
Answers
[tex]\bold{\huge{\blue{\underline{ Solution }}}}[/tex]
[tex]\bold{\underline{ Given :- }}[/tex]
1/3rd part of the length of a bamboo is coloured with red and 1/5th part of it is coloured with green and the remaining is 14m is coloured with yellow.[tex]\bold{\underline{ To \: Find :- }}[/tex]
We have to find the total length of the bamboo[tex]\bold{\underline{ Let's \: Begin :- }}[/tex]
Let the total length of bamboo be x
According to the question,
[tex]\sf{\dfrac{ 1}{3}}{\sf{x +}}{\sf{\dfrac{ 1}{5}}}{\sf{x + 14 = x }}[/tex]
[tex]\sf{\dfrac{ 1}{3}}{\sf{x + }}{\sf{\dfrac{1}{5}}}{\sf{x = x - 14 }}[/tex]
[tex]\sf{\dfrac{5x + 3x}{15}}{\sf{ = x - 14 }}[/tex]
[tex]\sf{ 5x + 3x = 15( x - 14 )}[/tex]
[tex]\sf{ 8x = 15x - 210 }[/tex]
[tex]\sf{ 210 = 15x - 8x}[/tex]
[tex]\sf{ 7x = 210 }[/tex]
[tex]\sf{ x = }{\sf{\dfrac{ 210}{7}}}[/tex]
[tex]\sf{\red{x = 30\: m}}[/tex]
Hence, The total length of the bamboo is 30m.
Dale uses a calculator to figure out the total cost of a $23 aquarium. Including sales tax, the total is $23.23. What is the sales tax percentage?
Answers
well, we know the aquarium is 23 bucks, the total is 23.23 or namely the tax is 0.23.
if we take 23 to be the 100%, whas is 0.23 off of it in percentage?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 23&100\\ 0.23&x \end{array}\implies \cfrac{23}{0.23}=\cfrac{100}{x}\implies 23x=23\implies x=\cfrac{23}{23}\implies x=\stackrel{\%}{1}[/tex]
What is 5/12 as the product of a whole number and a fraction
Answers
Answer:
0.4 is the whole number 5/12 is the fraction
Step-by-step explanation:
I am struggling with this could anyone help me also brainly thinks im in highschool but im in middleschool could someone help
Answers
Answer:
YES ..i can
Step-by-step explanation:
1: say to brainly that you are in middle school
2: if brainly didnot hear.give slap
3: sorryyyy
function f(x) = (x +2)(x + 6) is shown
What is true about the domain and range of the function?
The domain is all real numbers, and the range is all real numbers greater than or equal to –4.
The domain is all real numbers greater than or equal to
–4, and the range is all real numbers.
The domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.
The domain is all real numbers greater than or equal to
–4, and the range is all real numbers such that –6 ≤ x ≤ –2.
Answers
Answer:
2nd one
Step-by-step explanation:
I just need the points
I NEED EXTREME HELP GUYSSSS
Answers
Answer:
-18
Step-by-step explanation:
-5/4(12) + -3 = -18
Simplify each expression. Type your answer into the box. (8 – 4)2 x |4 – 8| =
Answers
Answer:
-32
Step-by-step explanation:
First you have to solve the numbers in the parenthesis which would be (8-4)= 4 then there is a 2 that you have to multiply which would be 4x2=8, then you have to solve the other parenthesis (4-8)=-4 so then you end up with 8x-4 which equals -32
Answer:
-8
Step-by-step explanation:
Keith correctly determined the area of this parallelogram by adding the areas of the triangles and rectangle. How did Keith determine the area? Enter your answer by filling in the boxes. Keith determined that the area of the rectangle is m² and that the area of each triangle is m². He added the areas of the two triangles and the rectangle for a total area of m².
Answers
Answer:
Keith determined that the area of the rectangle is 56 m²
and that the area of each triangle is 14 m². He
added the areas of the two triangles and the rectangle for a total
area of 84 m².
The area of the parallelogram will be the area of two triangles and a rectangle
Area of a parallelogramA parallelogram is a two dimensional shape with equal opposite sides.
The opposite sides of a parallelogram are congruent. In order to find the area of the parallelogram!l, the formula of a parallelogram can be applied or the shape divided into 3 parts.
The 3 is made up of 2 triangles and a rectangle to have;
Area of the parallelogram = area of the two triangles + area of rectangle.
Learn more on parallelogram here: https://brainly.com/question/17028028
Simplify 12(A - B).
12 A - 12 B
12 A - B
12 AB
Answers
Answer
It is C.
Step-by-step explanation:
because you must multiply the 12 to both the A and the B. Hope this helps. Good luck!
a man brought 10 bags for Rs 5000. He sold 7 bags at Rs 550 wash and remaining at the rate of cost price.Find his profit percent
Answers
Answer:
7%
Explanation:
cost of 10 bag is rs 5000.
then cost of one bag is 500.
he sold 7 bag for rs550 each then total =550×7
= 3850
again, he sold rest 3bag at cost price =500 ×3
=1500
then ,. profit percentage; s.p- c.p/5000×100
350/5000×100
= 7%
a to the third power - c + b, when a=3,b=6, c=8
Answers
Answer:
25
Step-by-step explanation:
Let's plug the given values into the expression:
[tex]a^3-c+b[/tex]
[tex]3^3-8+6[/tex]
Simplify:
[tex]27-8+6[/tex]
[tex]19+6[/tex]
[tex]25[/tex]
Please help! I would appreciate it!
-10x-1=-51
PLEASE show your steps!
Answers
Answer:
x = 5
Step-by-step explanation:
-10x - 1 = -51
add 1 to each side
-10x = -50
divide each side by -10
x = 5
(6x-4)•(5x-3)
find area and perimeter in feet
Answers
*IMPORTANT* This < means up words i just don't know how to write it
Answer:
30 x < 2 - 38x + 12
Step-by-step explanation:
1- Multiply
2- Calculate
Multiply
3- Collect like terms
Here are scores for two softball teams for seven innings. Each team's total score is the sum of the numbers in its row. Rosie's Riveters beat The Susan Bees by how many runs?
Answers
Answer:
The Susans Bees lost by 3 points.Step-by-step explanation:
Rosie's Riveters has 13 points in all.
The Susans Bees have 10 points in all.
13 - 10 = 3.
John is planning to invest in the stock market. He will deposit $20 every month into his savings account, plus his dad likes the idea and will give him a starting capital of $100 towards his goal. Which equation can be used to find y, John's total savings after x months?
Answers
Answer:
100+20x I think
Step-by-step explanation:
he starts at 100 then he adds 20 a month and the x would represent the number of months.
giving 10 points and brainliest to the best correct answer, and explain it please.
Answers
Answer:
200,000 x 1.09^14 =668345.4054
So, 668,345
Hope this helps!
Tammy is saving money in a bank that charges a fee if the account is inactive for an extended period of time. The equation y=2000(0.64)^x represents the value, , of one account that was left inactive for a period of years. Which statement below is true?
A. 0.64 is the percent of money in the account after years
B. 2000 is the -intercept, it is the amount of money in the account initially
C.0.64 is the percent of money in the account initially
D.2000 is the -intercept, it is the amount of money in the account after years
The size of a certain cell is 4.75 x 10^-7m.Another cell is 1.2 x 10^4times larger. How large is the larger cell in scientific notation?
A. 5.7 x 10-^3
B. 4.95 x 10-^11
C. 4.95 x 10-^28
D. 5.7 x 10^3
Use elimination, substitution or graphing to solve for the following system of equations: y=1/2x "-4"
x+4y=4
What is the end behavior of the function shown in the graph above?
A. As x approaches 0 , y approaches 15 .
As y approaches 0 , x approaches 25 .
B.As x approaches infinity symbol , y approaches 0 .
As y approaches infinity symbol , x approaches -infinity .
C. As x approaches infinity symbol , y approaches 0 .
As y approaches infinity , x approaches - infinity .
D. As x approaches infinity, y approaches 0.
As y approaches infinity x approaches infinity.
Find the average rate of change for the function f(x)=3.2 + 25Using the intervals of x=2 to x=6
Show ALL your work to receive credit
Answers
2000 is the y-intercept, it is the amount of money in the account initially.
Exponential functionAn exponential function is in the form:
y = abˣ
where a is the initial value of y, b is the multiplier, y, x are variables.
Let y represent the amount in the bank after x years.
Given the function y=2000(0.64)ˣ
Hence:
a = 2000, b = 0.64
0.64 = 1 + x
x = -0.36 (36% decrease)
2000 is the y-intercept, it is the amount of money in the account initially.
Find out more on Exponential function at: https://brainly.com/question/12940982
what is 3m+8s=126 answer
Answers
S= 9
What you have to do is just try random number’s
Which system of equations has exactly one solution? O 2x - 4y = 8 X+y = 7 3x+y=-1 6x+2y = -2 3x + 3y = 3 -6x-6y=3 О 3x-2y = 4 -3x+2y = 4
Answers
Answer:
3x+y=-1
6x+2y=-2
Step-by-step explanation:
x=(-1-y)/3
Graph the first six terms of a sequence where aj = 4 and r = 2.
Answers
Answer:
trangle?
Step-by-step explanation:
The answer is in the image
Please help, is this right? I’ll mark as brainliest.
Answers
Answer:
yes
Step-by-step explanation:
At the ice cream shop, there are 11 shakes sold for every 6 malts. What is the ratio of malts to shakes?
Answers
Answer:
Step-by-step explanation:
The question reads malts to shakes. You must keep it that way.
Malts / shakes = 6/11