Answer:
a) $8.80
b) 40%
Step-by-step explanation:
Part (a)
Given:
Original price = $22Discounted price = $13.20Original price - discounted price
= $22 - $13.20
= $8.80
Part (b)
percentage = (amount discounted ÷ original price) x 100
= (8.80 ÷ 22) x 100
= 40%
Tracy bought 5 trays of plants for 105
Answer:
21?
Step-by-step explanation:
just divide 105 by 5?
the full question wasn't here so I just guessed what u were trying to say
The slope-intercept form of the equation of a line that passes through point (-2, -13) is y = 5x - 3. What is the point-
slope form of the equation for this line?
O y- 13 = 5(%- 2)
O y + 13 = 5(x + 2)
O y- 2 = 5(x- 13)
O y + 2 = 5(x+ 13)
[tex]y = \stackrel{\stackrel{m}{\downarrow }}{5}x-3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
well, what's the equation of a line whose slope is 5 and passes through (-2 , -13) ?
[tex](\stackrel{x_1}{-2}~,~\stackrel{y_1}{-13})\qquad \qquad \stackrel{slope}{m}\implies 5 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-13)}=\stackrel{m}{5}(x-\stackrel{x_1}{(-2)})\implies y+13=5(x+2)[/tex]
Find f(g(x)) simplify completely f(x)= 5x+11 g(x)= 3x+2
Answer:
f(g(x)) = 5(3x + 7)
Step-by-step explanation:
f(x) = 5x + 11g(x) = 3x + 2Solving f(g(x))
f(g(x))f(3x + 2)f(3x + 2) = 5(3x + 2) + 11f(3x + 2) = 15x + 10 + 11f(3x + 2) = 15x + 21f(3x + 2) = 5(3x + 7)f(g(x)) = 5(3x + 7)Answer:
[tex]f(g(x)) = 3(5x + 7)[/tex]
Step-by-step explanation:
Step 1: State the eqautions
[tex]f(x) = 5x + 11[/tex]
[tex]g(x) = 3x + 2[/tex]
Step 2: Insert the equation and solve
[tex]f(g(x)) = 5(g(x)) + 11[/tex]
[tex]f(3x + 2) = 5(3x + 2) + 11[/tex]
[tex]f(3x + 2) = 15x + 10 + 11[/tex]
[tex]f(3x + 2) = 15x + 21[/tex]
[tex]f(g(x)) = 15x + 21[/tex]
Step 3: Simplify completely
[tex]f(g(x)) = 15x + 21[/tex]
[tex]f(g(x)) = 3(5x + 7)[/tex]
Answer: [tex]f(g(x)) = 3(5x + 7)[/tex]
Find the unknown side
length. Round to the
nearest tenth. 9 in and 7 in
Please explain how to solve.
Answer:
The missing side length is 5.7
Step-by-step explanation:
Using the pythagoream theorem you can find the missing side length of a right triangle.
The formula is [tex]a^{2} + b^{2} = c^{2}[/tex] where a and b are the lengths of the triangle legs and c is the hypotenuse.
So yours would be:
[tex]7^{2} + x^{2} = 9^{2}[/tex]
Square the numbers:
[tex]49 + b^{2} = 81[/tex]
Isolate b:
[tex]b^{2} = 32[/tex]
Square root both sides:
[tex]b=\sqrt{32}[/tex]
Simplify:
[tex]\sqrt{32} = 5.7[/tex]
What is the area of a triangle with a length of 12 inches and a height of 4 inches?
Answer:
If you mean the base of the triange being 12 then the answer 24[tex]inch^{2}[/tex]
Step-by-step explanation:
[tex]A = \frac{h_{b}b }{2}[/tex]
so
[tex]A = \frac{(4) (12)}{2}[/tex]
=[tex]24inch^{2}[/tex]
If you roll an 8. 5-by-11-inch piece of paper into a cylinder by bringing the two longer sides together, you get a tall, thin cylinder. If you roll an 8. 5-by-11-inch piece of paper into a cylinder by bringing the two shorter sides together, you get a short, fat cylinder. Which of the two cylinders has the greater volume?
The cylinder which would have the greater volume is that in which the two shorter sides together, you get a short, fat cylinder.
Which cylinder has the greater volume between the two?It follows from the task content that the cylinder is made from the same paper dimensions.
On this note, it follows that when the shorter sides are joined, the longer side represents the height of the cylinder formed.
Consequently, the shorter cylinder has the greater volume.
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Which expression is equal to
Answer:
[tex]\cfrac{\left(x+8\right)\left(x-8\right)}{x^2+13}[/tex]
Step-by-step explanation:
[tex]\cfrac{x+8}{x+2}\cdot \cfrac{\left(x+2\right)\left(x-8\right)}{x^2+13}[/tex]
[tex]\cfrac{\left(x+8\right)\left(x+2\right)\left(x-8\right)}{\left(x+2\right)\left(x^2+13\right)}[/tex]
[tex]\cfrac{\left(x+8\right)\left(x-8\right)}{x^2+13}[/tex]
nia increased her class average by 3% she now has 92% in her math class
hint: what had nia's average been?
please help me
Answer:
see below
Step-by-step explanation:
1.03 * x = 92 x = prior percentage
92 / 1.03 = x = 89.32
She HAD a 89.32 percentage score
increasing this score 3% reults in a score of 92
SOMEONE HELP ME FAST!!!!!!!!!!!
A bag contains 9 tiles, one for each letter in the word HAPPINESS. You
choose a tile at random. What is the probability that you choose a tile with
the letter S? What is the probability that you choose a tile with a letter other
than P?
Answer:
shown below
Step-by-step explanation:
9 different possible tiles to choose, but there are duplicates of two types of tiles. Out of 9 tiles, two of them are S. Therefore, the probability you choose an S is 2/9 (however much percent that is).
You'd reverse the math for letters other than P:
Out of 9 tiles, two of them are P. 9 minus 2 is seven. Seven out of 9 characters are not the letter P. Therefore, the probability you choose any letter other than P is 7/9 (however much percent that is).
Jose has as many baseball cards as his brother who has x baseball cards
Jose and his brother each have x baseball cards
hope it really helps...!!!
A whole is divided into 10 equal parts.
Answer these questions.
(a) How much of a whole is 100%?
(b) How much of a whole is 10%?
Answer:
All of it, ad 10%
Step-by-step explanation:
100% is all of it and 10% is 1/10 of it :]
a. (0,2) (-4,2) (0,0)
b. (2,0) (2,-4) (0,0)
c. (0,2) (-4,2) (0,0)
d. (0,2) (4,2) (0,0)
Answer:
A. (0,2) (4,2) (0,0)
b. (-2,0) (-2,-4) (0,0)
c. (0,2) (4,2) (0,0)
d. (0,2) (-4,2) (0,0)
These pointed are reflected into y-axis.
The drawing will take time to be drawn, that's why i only have written the points.
I hope my answer helps you.
3,162.9 diveded 1.2 please give me the answer i need help
Answer:
2635.75 or 2635 3/4
used a calculator
This equation can be used to find b, the number of dollars Mrs. Colton earned as a sales bonus last week. b = 429 (39 × 9) What was the amount of Mrs. Colton’s bonus?
(2/5)(10)+8 What is the expression below
Answer: hii
✓ 12
Step-by-step explanation:
Simplify the expression.
Hopfully this helps you
-Matthew :)
how fast was the car going in miles per hour if the skid mark is 24 feet long
Answer:The vehicle speed at the start of the skid is approximately 20.75 mph
imagine if i got it right lol funny poop right?
haha
PLSSS HELP IF YOU TURLY KNOW THISS
Answer: So therefore your answer would be 7 3/4
Step-by-step explanation: Okay so sun's you are trying to increase the recipe by four times That means you need to do what the recipe calls for four times and times what the recipe calls for by four or how many times larger you want to make it. So first we would do 3/4 X 4 = 12/16 And then from there we need to simplify And for this I'm pretty for sure lol We are going to divide the top by three and then the bottom by four. So then it goes back to 3/4 and seven cups I'm pretty sure.
which one does it equal to? what break 80 into two equal pieces?
Answer:
Subtracting a negative number from a negative number – a minus sign followed by a negative sign, turns the two signs into a plus sign. So, instead of subtracting a negative, you are adding a positive. Basically, - (-4) becomes +4, and then you add the numbers. For example, say we have the problem -2 - –4.
A pentagon has angles that measure 70 degrees 100 degrees 120 degrees 140 degrees and h. What is h
Answer:
h = 110°
Step-by-step explanation:
1) A pentagon has 5 sides that sum up to 540°. We know it is 540° because of this formula that is used to find the sum of the interior angles of any polygons. n is the number of sides.
= (n - 2) x 180
= (5 - 2) x 180
= 3 x 180
= 540°
2) We can now set up an equation.
70 + 100 + 120 + 140 + h = 540
430 + h = 540
h = 540 - 430
h = 110°
For what value of x does 34* – 27x-3?
O-9
0 -3
O 3
O 9
?
-9 the first option
When x = - 9, I get same value of 6.7 x 10^-18 to 1 d.p
Hope this helps!
The value of x that satisfies the given equation is -9.
The correct option is (A).
What is an equation?A declaration that two expressions with variables or integers are equal. In essence, equations are questions, and attempts to systematically identify the solutions to these questions have been the driving forces behind the making of mathematics.
As per the given data:
We are given an equation, and we have to find the value of x that satisfies the equation.
We can use the following rule of exponents to find the result of the given equation:
(i) [tex](a^m)^n = a^{m \times n}[/tex]
(ii) [tex]a^m = a^n[/tex] then m = n
For the given equation:
[tex]3^{4x} = 27^{x - 3}\\3^{4x} = 3^{3(x - 3)}\\3^{4x} = 3^{3x - 9}[/tex]
4x = 3x - 9
4x - 3x = -9
x = -9
Hence, the value of x that satisfies the given equation is -9.
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Given the formula, find the first five terms and the 10th term of each
sequence.
a n = -4 × 2 n-1
Can you teach me this?
Then I will try the next?
Given formula: [tex]\sf A_n= -4(2)^{n-1}[/tex]
simplify substitute the number of term by replacing n
Find first five terms:
[tex]\sf A_1= -4(2)^{1-1}[/tex] ⇒ [tex]\sf A_1= -4[/tex]
[tex]\sf A_2= -4(2)^{2-1}[/tex] ⇒ [tex]\sf A_2= -8[/tex]
[tex]\sf A_3= -4(2)^{3-1}[/tex] ⇒ [tex]\sf A_3= -16[/tex]
[tex]\sf A_4= -4(2)^{4-1}[/tex]⇒ [tex]\sf A_4= -32[/tex]
[tex]\sf A_5= -4(2)^{5-1}[/tex]⇒ [tex]\sf A_5= -64[/tex]
Tenth term:
[tex]\sf A_{10}= -4(2)^{10-1}[/tex] ⇒ [tex]\sf A_{10}= -2048[/tex]
Answer:
[tex]\sf a_1=-4\\a_2=-12\\a_3=-20\\a_4=-28\\a_5=-36\\a_{10}=-76[/tex]
Step-by-step explanation:
[tex]\textsf{Given sequence}: \sf a_n=-4(2n-1)[/tex]
This formula is for the nth term of the sequence.
Therefore, to find any term of the sequence, substitute the position of the term you wish to find as n.
For example, to find the 10th term, substitute n = 10 into the formula:
[tex]\begin{aligned}\sf a_{10} & =-4[2(10)-1)]\\ & = -4(20-1)\\ & = -4(19)\\ & = -76\end{aligned}[/tex]
To find the first 5 terms, substitute n = 1 through n = 5 into the formula:
[tex]\sf a_1=-4[2(1)-1]=-4(2-1)=-4(1)=-4[/tex]
[tex]\sf a_2=-4[2(2)-1]=-4(4-1)=-4(3)=-12[/tex]
[tex]\sf a_3=-4[2(3)-1]=-4(6-1)=-4(5)=-20[/tex]
[tex]\sf a_4=-4[2(4)-1]=-4(8-1)=-4(7)=-28[/tex]
[tex]\sf a_5=-4[2(5)-1]=-4(10-1)=-4(9)=-36[/tex]
‼️DUE TODAY‼️ SOMEONE PLEASE HELP I HAVE TO SHOW WORK ON THIS AND ITS DUE TODAY
Answer And Step-by-step explanation:
1. b + 59 = 90
90 - 59 =b
⇒ b = 31
3. 29 + b = 90
90 - 29 = b
⇒ b = 61
5. 23 + b = 90
90 - 23 = b
⇒ b = 67
7. 32 + b = 90
90 - 32 = b
⇒ b = 58
18. 88 + b = 180
180 - 88 = 92
⇒ b = 92
20. 96 + b =180
180 - 96 = b
⇒ b = 84
22. 73 + b = 180
180 - 73 = b
⇒ b = 107
24. 91 + b = 180
180 - 91 = b
⇒ b = 89
please help me...asap
Answer:
The last option
Step-by-step explanation:
There are 42 species in the sample
the proportions are:
frogs = 18/42 = 3/7
lizards = 18/42 = 3/7
worms = 6/42 = 1/7
The number of frogs and lizards is the same and exceeds that of worms
The only option that meets these proportions is the last
Hope this helps
help me please quick
I NEED HELP PLSSS SHOW YOUR WORK SHOW YOUR WORK
The following table represents the annual sales of a bakery for the last 7 years since the grand opening
The table is a linear regression model, and the equation of the regression model is y = 0.24x + 0.77
The scatter plot that represents the tableSee attachment for the required scatter plot
The best model of the scatter plotFrom the attached scatter plot, we can see that the points are almost on a straight line
Hence, the best model that fits the scatter plot is a linear model
The equation of the regression modelUsing a graphing calculator, we have the following calculation summary:
Sum of x = 28Sum of y = 12.1Mean X = 4Mean Y = 1.7286Sum of squares (SSX) = 28Sum of products (SP) = 6.7b = SP/SSX = 6.7/28 = 0.23929a = MY - bMX = 1.73 - (0.24*4) = 0.77143The regression equation is represented as:
y = bx + a
So, we have:
y = 0.23929x + 0.77143
Approximate
y = 0.24x + 0.77
Hence, the equation of the regression model is y = 0.24x + 0.77
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Who made an error?
The correct scale factor= ?
Answer:
reggie made an error
the correct scale factor is 2/3
Step-by-step explanation:
we want to get from A to A', B to B', and ultimately C to C'
to get there, we must multiply each value in each point by the scale factor.
let's start out with reggie's scale factor. he multiplies each value in C by 3/2 to get to C'. we can try this out with one point, e.g. A
for A: 3/2 * (-12, -6) = (-18, -9). this is not A' = (-8, -4)! thus, 3/2 cannot be the scale factor
now, onto hillary's scale factor of 2/3
for A: 2/3 * (-12, -6) = (-8, -4). this is A'! thus, hillary is correct and reggie made an error
the correct scale factor is thus hillary's: 2/3
need help will give brainlist
Answer:
2nd option
Step-by-step explanation:
[tex]\frac{x+1}{x(x-1)}[/tex] ÷ [tex]\frac{4}{3(x-1)}[/tex]
leave the first fraction, change division to multiplication, turn the second fraction upside down , that is
= [tex]\frac{x+1}{x(x-1)}[/tex] × [tex]\frac{3(x-1)}{4}[/tex] ← cancel (x - 1) on numerator / denominator
= [tex]\frac{x+1}{x}[/tex] × [tex]\frac{3}{4}[/tex]
= [tex]\frac{3(x+1)}{4x}[/tex]
= [tex]\frac{3x+3}{4x}[/tex]
The set {3, x, 2, 1} has a range of 2. What is the value of x?
Answer:
x = 1 or x = 2 or x = 3Step-by-step explanation:
The range = 2 = (greatest number in the set) - (lowest number in the set)
→ If we took x < 1 then the range would be 3 - x > 3 - 1 then 3 - x > 2 which is impossible ,therefore x could not be less than 1
→ If we took x > 3 then the range would be x - 1 > 3 - 1 then x - 1 > 2 which is impossible ,therefore x could not be higher than 3
Conclusion:1 ≤ x ≤ 3
then
x = 1 or x = 2 or x = 3
Help Tell whether the angels are adjacent or vertical then find the value of x
Answer:
vertical
7x+x+20=180
8x=180-20
8x=160
x=160÷8
x=20°