The discount price of the lawn mower purchased by the store is $193.45.
What is the discount price?The first step is to determine the selling price of the lawn mower.
Selling price = ( 1 + 1.60) x $82.67 = 214.94
Now determine the price after the discount has been applied.
Discount price = (1 - 0.1) x 214.94 = $193.45
To learn more about how to calculate discounts, please check: https://brainly.com/question/26061308
I need help on this question
Answer:
Step-by-step explanation:
Find the arc length of the partial circle.
Answer in terms of π or use 3.14, and enter your answer as a decimal.
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
As we know :
Length of arc = Radius × Angle made by Arc at center [ in radians ]
[tex]\qquad \tt \dashrightarrow \: arc = radius \times angle \: \: ( in \: \: rad)[/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 9 \times { \pi}{} [/tex]
[tex]\qquad \tt \dashrightarrow \: arc = 9\pi \dfrac{ }{} \: \: units[/tex]
or
[tex]\qquad \tt \dashrightarrow \: arc = 9 \times 3.14 = 28.26 \: \: units\dfrac{ }{} \: \: [/tex]
Arc length
L=r[tex]\theta[/tex]L=9πL=28.3unitsDora is making invitations for her party. Dora needs to make invitations for 54 of her friends. On Friday you helped her make 1/2 of the invitations. How many did you make?
Answer:
[tex] \frac{1}{2} of \: the \: invitations = \frac{1}{2} \times 54 \\ = 27invitations[/tex]
you made 27 of the invitations
Your brother is twice as tall as your sister.
A player scored 5 less points than Rodger.
8 fewer than the sum of 14 and a number
Tom has 5 green cubes for every 3 yellow cubes. He has 16 cubes in total. Draw a diagram to represent please help me
10 green cubes and 6 yellow cubes
hope it helps...!!!
Expand & simplify
4
(
2
p
+
2
)
+
6
(
2
p
−
3
)
Answer:
The answer is 20p – 10 or 10(2p – 1)
Step-by-step explanation:
4(2p + 2) + 6(2p − 3)
8p + 8 + 12p – 18
20p – 10 or 10(2p – 1)
Step-by-step explanation: How many solutions does the system of equations below have?
y=
–4
9
−
4
5
y=
–4
9
−
4
5
Answer:
3
Step-by-step explanation:
X/3+7=12
Help :)
I need to write more to send it so…
Answer:
15
Step-by-step explanation:
To solve you have to get x by itself on one side.
x/3+7=12
First, you move the seven over.
x/3+7-7=12-7
Simplify.
x/3=5
Now to get x by itself you can multiply both sides by 3.
x/3*3=5*3
Simplify.
x=15
Answer:
x = 15
Step-by-step explanation:
x/3 + 3⋅7/3 = 12
x+3⋅7/3=12
x+21/3
X=15
Karly borrowed $6,200 from her parents for 4 years at an annual simple interest rate of 2.8%. How much interest will she pay if she pays the entire loan at the end of the fourth year?
Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.
Answer:
$724.11
Step-by-step explanation:
This requires the use of the growth formula.
Growth Formula:
[tex]y = a*(1+r)^x[/tex]
y = total/answer
a = starting value
r = rate (1.25 = 25%)
x = the amount of time (years/months)
Equation:
[tex]y = 6200 * (1+0.028)^4[/tex]
Solving:
y = $6924.11
$6924.11 - $6200 = total interest
$724.11
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$6200\\ r=rate\to 2.8\%\to \frac{2.8}{100}\dotfill &0.028\\ t=years\dotfill &4 \end{cases} \\\\\\ I = (6200)(0.028)(4)\implies I=694.4[/tex]
What is the perimeter of the triangle shown below, if side a = 6 cm and side b = 8 cm?
Answer:
The answer is 24 cm.
Step-by-step explanation:
Since we know two sides, we can find the third side. Using the pythagorean theorm, a^2 + b^2 = c^2, this gives us:
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
Square root of 100 = c
10 = c.
Hope this helps!
Hello! How to sketch the graph?
Answer:
Draw your y and x axis , the y axis is going to be a vertical line while the x axis is going to be a horizontal line
Create equations to solve for f and g
Answer:
Step-by-step explanation:
Pls Help Solve for x
X =
Answer:
the answer is 12
Step-by-step explanation:
it is what it is
Which expression is equivalent to √3+5/√3-5
The simplified form of the expression is [tex]\frac{14+5\sqrt{3}}{11}[/tex]
How to rationalize surd functions?
Given the surd function expressed as:
[tex]\frac{\sqrt{3} +5}{\sqrt{3} - 5 }[/tex]
Multiply by the conjugate of the denominator to have:
[tex]= \frac{\sqrt{3} +5}{\sqrt{3} - 5 } \times \frac{\sqrt{3} +5}{\sqrt{3} + 5 } \\=\frac{\sqrt{9}+5\sqrt{3}+5\sqrt{3}+25 }{3-25}[/tex]
Simplify the resulting expression
[tex]\\=\frac{3+10\sqrt{3}+25 }{-22}\\=\frac{28+10\sqrt{3}}{-22} \\= \frac{14+5\sqrt{3}}{11}[/tex]
Hence the simplified form of the expression is [tex]\frac{14+5\sqrt{3}}{11}[/tex]
Learn more on rationalization here: https://brainly.com/question/14261303
help meeeeeeeeeeeeeee!!!!!!! NO LINKS OR FILLES
Answer:
i think four but im prolly wrong
Step-by-step explanation:
A movie theater charges $10.50 per ticket and $5per bucket of popcorn. You never buy the popcorn because you think it's too expensive.
Is the total price you pay proportional to the number of tickets you buy?
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Yes they are proportional
Answer:
A- yes
Step-by-step explanation:
If you never buy the popcorn because you think that it is too expensive then the only thing you are paying for is the tickets therefore the price you pay is proportional to the number of tickets you buy.
HELP I NEED TO TURN IN TOMORROW
ken says that 9138 rounded to the nearest thousand is 9,100 because 3 is less than 5
what might be Ken's misunderstanding about rounding _________?
help ken correct his misunderstanding ______________________________?
Answer:
Ken's misunderstanding is that you have to round starting from the 1st number that is behind what your rounding to. In this case Ken needs to start from 1 and round instead of starting from 3. So you would round the 9,000 by looking at the 1 and seeing if you should round up or down. You want to round down because 1 is less than 5. If Ken rounds from 1 the real answer should be 9,000
Step-by-step explanation:
The sum of two numbers is eighteen. The total of three times the smaller and twice the
larger is 44. Set up and solve and algebraic equation to find the two numbers.
Answer:
x=8 y=10
Step-by-step explanation:
x+y =18 x=(18-y)
3(18-y) +2y =44
54-3y+2y =44
54-y =44
-y=-10
y=10
x+10=18
x=8
One angle of an isosceles triangle measures 74°. What measure is possible for the other two angles?
Answer:
Either 74° and 32°
or 53° and 53°
Step-by-step explanation:
An isosceles triangle has at least two congruent angles.
There are two possibilities in this problem.
1)
The 74° angle is one of the two congruent angles.
Then, one other angle measures also 74°.
The third angle measures 180° - 74° - 74° = 32°
2)
The 74° is not one of the two congruent angles.
Then the other two angles are congruent.
180° - 74° = 106°
The sum of the measures of the two congruent angles is 106°, so each of the two congruent angles measures 53°.
Answer:
Either 74° and 32°
or 53° and 53°
Which inequality statement describes the two numbers: -22 and a number 47 units to the right of -22?
Answer:
D) -22 < 25
Step-by-step explanation:
If the number is 47 units to the right, then the number will be larger than -22, because negative values get larger the closer they are to zero.
47 units right from -22 is the same as: -22 + 47, which equals 25.
So, we can conclude that -22 < 25 is the inequality.
hope this helps!
Find the area of the trapezoid.
8 cm
6 cm
13 cm
A. 78 cm2
B. 48 cm2
C. 63 cm
D. 104
Answer:
c; 63 square cm
Step-by-step explanation:
the area of a trapezoid can be described by the equation a = (1/2)(h)(b1 + b2)
this means the height times base 1 and base 2 added together divided by 2
(1/2)(6)(8 + 13) is the equation
this can become 3(21)
which is ultimitaly 63
Answer:
it's gonna be 63cm^2
Step-by-step explanation:
First, were gonna find the area of the rectangular portion, which is 8x6, which is 48cm^2
Next, well do the triangle part. So, we have to subtract 13-8 to get the width of the triangle.
Next, we have to find the area for the triangle. The formula is length x width / 2.
So, we have to multiply 6x5 to get 30.
Then, well divide it by 2, which will give us 15cm^2
Finally, we add the areas of rectangle and the triangle together. 15 + 48 is 63.
Bada-bing, bada-boom, we got 63cm^2 as our answer :)
For each number set in this assignment, give the mean, median, mode, and range. If one of these quantities does not exist in the set, then put "0". 47, 31, 84, 50, 68, 85, 67, 56
Answer:
Mean: 54
Median: 61.5
Mode: 0
Range: 54
Step-by-step explanation:
Mean: Add everything up and divide by the amount of numbers
(47 + 31 + 84 + 50 + 68 + 85 + 67 + 56 = 488/8 = 54)
Median: Put all numbers in order from smallest to largest, the middle number is the median. Since we have 2 middle numbers, we add both 67 and 67 together, then divide them by 2.
31, 47, 50, 56, 67, 68, 84, 85
(56 + 67 = 123/2 = 61.5
Mode: The mode is the number that appears most often in the set of given numbers.
(There are no numbers that appear more than once so the mode is 0)
Range: The range is the largest number subtracted by the smallest number.
(85 - 31 = 54)
ABC is a right triangle. Find the length of x, the altitude of ABC.
Answer:
b. [tex]6\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\frac{6}{x} =\frac{x}{18}[/tex]
[tex]x^{2} =[/tex][tex](6)(18)=108[/tex]
[tex]x=\sqrt{108} =\sqrt{(36)(3)} =6\sqrt{3}[/tex]
Hope this helps
The length of x, the altitude of triangle ABC is [tex]6\sqrt3[/tex]
How to determine the length of x, the altitude of ABC?From the given figure, we have the following equivalent ratio:
6 : x =x: 18
Express as fraction
6/x = x/18
Cross multiply
[tex]x^2 = 6 * 18[/tex]
Evaluate the product
[tex]x^2 = 108[/tex]
Take the square root of both sides
[tex]x = 6\sqrt3[/tex]
Hence, the length of x, the altitude of ABC is [tex]6\sqrt3[/tex]
Read more about right triangles at:
https://brainly.com/question/2437195
#SPJ2
This is a recipe that makes 30 chocolate chip cookies:
- 150g butter
- 160g sugar
- 225g plain flour
- 1 large egg
- 12 teaspoon bicarbonate of soda
- 200g chocolate chips
Miss Watson wants to make 25 cookies for her class.
How much plain flour will she need?
Step-by-step explanation:
30: 225 = 25: X
30/225= 25/X
30×X = 225×25
30X = 5625
X = 187.5
Charles begins finding the volume of a trapezoidal prism using the formula a = one-half(b1 b2)h to find the prism's base area. a = ((x 4) (x 2))x a = (2x 6)x a = (x 3)x a = x2 3x a trapezoidal prism is shown. the bases of the trapezoid have lengths of x 2 and x 4. the height of the trapezoid is x. the height of the prism is 2 x. which expression can be used to represent the volume of the trapezoidal prism? 2x3 6x2 x3 6x2 x3 3x2 2x3 3x2
The volume of the trapezoidal prism having side lengths x, (x+2), (x+4) and height of 2x is 2x³+6x² option first is correct.
What is volume?It is defined as a three-dimensional space enclosed by an object or thing.
We know the volume of the trapezoidal prism can be given:
[tex]\rm V=\frac{1}{2} (a+b)\times h \times L[/tex]
Where V = The volume of the trapezoidal prism:
Length of the trapezoid L = x
Top width a = (x+2)
Base width b = (x+4)
Height of the trapezoidal prism h = 2x
[tex]\rm V=\frac{1}{2} (x+2+x+4)\times 2x \times x[/tex]
[tex]\rm V=\frac{1}{2} (2x+6)2x^2\\\\\rm V= (2x+6)x^2\\\\\rm V= (2x^3+6x^2)[/tex]
Thus, the volume of the trapezoidal prism is [tex]\rm (2x^3+6x^2)[/tex]
Learn more about the volume here:
https://brainly.com/question/16788902
Answer:
A.
Step-by-step explanation:
right on edge
7/6 x 4/5 = in simplest form
Answer:
heyy do you still need help
Step-by-step explanation:
How do I graph n>8 on a number line.
Answer:
Math-Graphing Inequalities on a Number Line (the basics)
Step-by-step explanation:
there were 150 people in a parade last year. This year there are 20 people in the parade. What is the percent change of people in the parade from last year to this year?
Answer:
7.5
Step-by-step explanation:
The variable y is directly proportional to x. If y=3 when x=5, then what is y when x=20
Answer:
y=12
Step-by-step explanation:
y=k*x
3=5*k
k=3/5
y= (3/5)*x
y=(3/5)*20
y=12
The answer is C, but I don't understand why- can anyone tell me?
Answer:
It's C because we are adding a number on the x but here we skip 5 so it's 6, and on y we add 4 up but since we skipped 5 we add 8 and we get 24. 6, 24. You may say "but SpiritBear, 17 plus eight is 25" and that is true, but if you notice the lowest dot actually starts on 5, not 4 making C right.
Hope this helped and wasn't too confusing
