Answer:
$12.40
Step-by-step explanation:
Answer:
$31.80
Step-by-step explanation:
First, find the sale price.
Normally you pay for 100% of the price. Since it is 25% off, you only pay for 75% of the price. (100%-25%=75%)
Therefore, we can multiply 75% and $40
75% * $40
Convert 75% to a decimal by dividing 75 by 100 or moving the decimal place 2 spots to the left.
75/100=0.75
75.0 --> 7.5 --> 0.75
0.75* $40
Multiply
$30
Now, find the price with tax.
You have to pay for 100% of the price, plus an additional 6% for the tax. Therefore, you are actually paying for 106% of the price (100% + 6% = 106%)
Therefore, we can multiply 106% and $30
106% * $30
Convert 106% to a decimal by dividing 106 by 100 or moving the decimal place 2 spots to the left.
106/100=1.06
106.0 --> 10.6 --> 1.06
1.06 * $30
Multiply
$31.8
Niko paid $31.80 for the game.
Which fraction is not equivalent to 7/8
Answer:
C. 15/16
Step-by-step explanation:
A. Divide by 3
B. Divide by 5
C. Can't divide by anything.
D. Divide by 4
Answer:
C
Step-by-step explanation:
21/24 = 7/8
35/40 = 7/8
7/8 ≠ 15/16
14/16 ≠ 15/16
28/32 = 7/8
I have the olaf needs a total of 3 cups of sugar to make 4 cakes. write and solve an equation to find the number of cups of sugar he needs for each cake. which number line shows of cups of sugar olaf needs for each cake, Wheres 3/4 cups?
Answer: 3/4 cups per cake.
Step-by-step explanation:
He needs 3 cups for 4 cakes.
Then, if you want to know the amount that he needs for each cake, you need to see the quotient between the number of cups and the number of cakes:
S = 3cups/4 cakes = (3/4) cups per cake.
In the number line, 3/4 will be:
0--I--I--(here)--1--I--I--I--2
A
The star makes a glide reflection according to the vector (5,0) and reflection line of y = 1. What are the coordinates of A?
Select one:
O a. (-4,0)
Ob.(2,-2)
OC. (-2, 4)
O d. (0,-2)
help plsssss! picture below!
Answer:
None
Step-by-step explanation:
If one angle is 95 degrees and other is an obtuse angle (greater than 90 degrees) Say 91 (Just 1 degree greater than 90). So, no triangle would be made because a triangle can never be made from 2 obtuse angles.
Ryan is X years old. Two times his age plus fifteen equals thirty-seven minus two. ( 2X + 15=37 - 2) Write an equation showing how old Ryan is. Solve it fi you can and show your work. 10X - 8 = 9X + 8 solve and show your work
Answer:
1) 10
2) 16
Step-by-step explanation:
1) 2x+15=37-2
2x+15=35
2x=35-15
2x=20
2 2
x=10
2)10x-8=9x+8
10x-9x=8+8
x=16
Hope this helps ❤
There is 9 questions. How many do you have to get wrong to get 80%?
Answer: 1
Step-by-step explanation:
If you get a 10/10 on something, it’s 100%. If you get a 9/10, it’s 90%. If you get a 9/9, it’s 100%. So, if you get 8/9, it’s roughly 90% but not exact. It’s actually 88.8%
Answer:
7 questions
Step-by-step explanation:
if 9 = 100%
? = 80%
if less more divides
80/100 ×9
4/5×9
36/5
7.2 which is approximately 7 questions
Helppp!!!! please!!!
78÷4 68÷7 98÷6
Answer me fast
Answer:
78/4=19.5, 68/7=9.71, 98/6=16.3
Step-by-step explanation:
#1 The area of a rectangular deck, in square meters, is given by the polynomial 40p^2 + 24p.
The deck is 8p meters wide
a) Find the polynomial that represents the length of the deck.
b) Find the polynomial that represents the perimeter of the deck.
#2 A cylinder has a volume of 200 mm^3 and a height of 17mm.
a) The volume formula for a cylinder is the equals v=(pi)r^2h. Isolate the variable for r in this formula.
b) using the equation where are you isolated r for part a, find the radius of the cylinder round your answer to the nearest hundredth.
PLEASE HELP even if you just answer #1 or #2 it would help i don’t have very much time.
Answer:
1.
a. 5p + 3
b. 26p + 6
2.
a r = (v ÷(pi)h)½
b. r = 3.74 to the nearest hundredth
Step-by-step explanation:
1.
Area of deck = 40p² + 24p
Width of deck = 8p
Area = length × width(breadth)
a. Area = length × width
40p² + 24p = length × 8p
Factorise out 8p from the left hand side
8p(5p + 3) = length × 8p
Divide both sides by 8p
5p + 3 = length
b Perimeter of deck = 2 (length + width)
"" = 2(5p+3 + 8p)
"" = 2 (13p + 3)
"" = 26p + 6
2.
Volume = 200 mm³
Height = 17mm
a. isolate the r in the equation v = (pi)r²h
v = (pi)r²h
Divide both sides by (pi)h
v ÷ (pi)h = r²
Take the square roots of both sides
(v ÷ (pi)h)½ = r
b. find r using your answer in a.
r = (v ÷ (pi)h)½
r = (200 ÷ ( 22/7 × 17))½
r = (200 ÷ 53.4286)
r = 3.7433
r = 3.74 to the nearest hundredth
simplify 1/2 -1/4+1 1/2
Answer: 1 3/4
Step-by-step explanation:
Step 1: Subtraction
1/4+1 1/2
Step 2: Addition
1 3/4
Hope it helps <3
Answer:
1 3/4
Step-by-step explanation:
Simplify 1/2 -1/4+1 1/2
1/2 - 1/4 + 1 1/2 =
= 2/4 - 1/4 + 1 2/4
= 1/4 + 1 2/4
= 1 3/4
If x∝y and x=24 when y = 8. Find x when y = 16
3 points
Answer:
x= 48
Step-by-step explanation:
x∝ y
x= ky
24= 8k
k= 3
Now solve for x
x= ky
x= 3x 26
x= 48
I hope it helped
The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis Foundation. This foundation was created to help ease the pain of HIV/AIDS in Africa. Lewis, a Canadian, works for the United Nations trying to determine ways to stop the spread of this deadly disease from crippling an entire continent. [ /6A] Choose a variable to represent the money earned during fundraising activities and the revenue generated for the foundation. [1A] Use these variables to create an equation that will determine the amount of money the foundation will receive. [1A] In their latest bake sale, the club raised $72. Calculate the amount the foundation will receive. [2A] At the end of the year, the World Issues Club mailed a cheque to the foundation for $850. How much money did they fundraise in total? [2A]
Answer:
y=0.6x
(a)$43.20
(b)$1416.67
Step-by-step explanation:
Let:
The amount raised during fundraising activities= mThe amount the foundation will receive =nThe club donates 60% to the foundation.
Therefore, the amount of money the foundation will receive
n=60% of m
n=0.6m
(a) If the club raised $72
m=$72
n=0.6*72
The amount of money the foundation will receive, n=$43.20
(b)If the foundation received a cheque of $850
n=$850
Therefore:
850=0.6m
m=850/0.6
m=$1416.67
The club raised $1416.67 in total for the year
Dustin is riding his bike from Logan, Utah to Jackson Hole, Wyoming in a bike race. He must ride at least 200 miles before he will complete the course. He has already biked 5634 miles. If he can bike roughly 1858 mph, how many more hours will it take him to finish biking at least 200 miles? Round your answer to the nearest whole number of hours.
Answer:
to the nearest hundreths or any one
Step-by-step explanation:
Shape s is below is exactly one quarter of solid sphere.The volume of the shape s is 1994πcm^2. Find the surface area of s.
Answer: 1035 cm^2
Step-by-step explanation:
Given that the shape s is exactly one quarter of solid sphere.
Where the volume of the shape s is 1994πcm^3.
The formula for volume of a sphere is
V = 4/3πr^3
The volume will be divided by 4 since the given solid is exactly quarter of solid sphere. Then equate it to the given value
1994π = 4/3πr^3 × 1/4
The π will cancel out
1994 = r^3/3
Cross multiply
5982 = r^3
r = cube root of 5982
r = 18.2 cm
The surface area of a sphere is
A = 4πr^2
Substitute r in the formula
A = 4× π × 18.2^2
A = 4141
Since the shape is exactly one quarter of solid sphere. Divide the answer by 4
A = 4141/4
A = 1035.3 cm^2
The surface area of s is therefore 1035.3 cm^2
The surface area of the shape s is approximately 329.53 cm².
Important information:
Shape s is exactly one-quarter of a solid sphere.The volume of the shape s is 1994π cm².Sphere:Volume of a sphere is:
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
The volume of one-quarter of a solid sphere is 1994π cm².
[tex]1994\pi=\dfrac{1}{4}\times \dfrac{4}{3}\pi r^3[/tex]
[tex]1994\pi=\dfrac{1}{3}\pi r^3[/tex]
[tex]\dfrac{1994\pi\times 3}{\pi}=r^3[/tex]
[tex]5982=r^3[/tex]
Taking cube root on both sides, we get
[tex]\sqrt[3]{5982}=r[/tex]
[tex]r\approx 18.153[/tex]
Surface area of a sphere is:
[tex]S=4\pi r^2[/tex]
Surface area of one quarter of solid sphere is:
[tex]S=\pi r^2[/tex]
[tex]S=\pi (18.153)^2[/tex]
[tex]S=329.5314\pi[/tex]
[tex]S\approx 329.53\pi[/tex]
Therefore, the surface area of the shape s is 329.53 cm².
Find out more about 'Sphere' here:
https://brainly.com/question/16415229
James is contemplating an investment opportunity represented by the function A(t)=P(1.06)t, where P is the initial amount of the investment, and t is the time in years. If James invests $5000, what is the average rate of change in dollars per year (rounded to the nearest dollar) between years 15 and 20?
Answer:
Average rate of change in dollars per year between years 15 to 20 is:
$5300 per year.
Step-by-step explanation:
Given that:
Initial Investment, P = $5000
Formula:
[tex]A(t) = P(1.06)t[/tex]
To find: If James invests $5000,
average rate of change in dollars per year (rounded to the nearest dollar) between years 15 and 20=?
Solution:
First of all, let us find out A(15) and A(20):
Putting t = 15 first,
[tex]A(15) = 5000(1.06)\times 15 ....... (1)[/tex]
Putting t = 20,
[tex]A(20) = 5000(1.06)\times 20 ....... (2)[/tex]
Average rate of change / year is defined as:
[tex]\dfrac{\text{Change in value of A}}{\text{Number of years}}[/tex]
So, required rate of change:
[tex]\dfrac{A(20)-A(15)}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times 20-5000 \times 1.06 \times 15}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times (20-15)}{5}\\\Rightarrow \dfrac{5000 \times 1.06 \times 5}{5}\\\Rightarrow 5000 \times 1.06\\\Rightarrow \$5300\ per \ year[/tex]
So, the answer is:
Average rate of change in dollars per year between years 15 to 20 is:
$5300 per year.
Solve for j : j/-2+7=-12 j=?
Answer:
[tex]\huge\boxed{j=38}[/tex]
Step-by-step explanation:
[tex]\dfrac{j}{-2}+7=-12\qquad\text{subtract 7 from both sides}\\\\\dfrac{j}{-2}+7-7=-12-7\\\\\dfrac{j}{-2}=-19\qquad\text{multiply both sides by (-2)}\\\\(-2)\!\!\!\!\!\!\!\diagup\cdot\dfrac{j}{-2\!\!\!\!\!\diagup}=(-2)(-19)\\\\j=38[/tex]
Answer: j = 38
Step-by-step explanation: First isolate j/-2 by subtracting
7 from both sides of the equation.
That gives you j/-2 = -19.
From here, since j is being divided by -2, multiply
both sides of the equation by -2 so j = 38.
6,666,666×666,666 /1+2+3+4+5+6+5+4+3+2+1 − 777,777×777,777/1+2+3+4+5+6+7+6+5+4+3+2+1
Answer:
111111 [tex]\times[/tex] 1111110 is the simple expression.
Step-by-step explanation:
The expression to be solved:
[tex]\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1} - \dfrac{777,777\times777,777}{1+2+3+4+5+6+7+6+5+4+3+2+1}[/tex]
First of all, let us solve the first term:
[tex]\dfrac{6,666,666\times666,666 }{1+2+3+4+5+6+5+4+3+2+1}\\\Rightarrow \dfrac{6666666\times666666 }{36}\\\Rightarrow \dfrac{6666666\times666666 }{6\times 6}\\\Rightarrow 1111111\times 111111[/tex]
Now, the right term:
[tex]\dfrac{777777\times777777}{1+2+3+4+5+6+7+6+5+4+3+2+1}\\\Rightarrow \dfrac{777777\times777777}{49}\\\Rightarrow \dfrac{777777\times777777}{7 \times 7}\\\Rightarrow 111111 \times 111111[/tex]
So, the expression to be solved becomes:
[tex]1111111\times 111111-111111\times 111111\\\Rightarrow 111111(1111111-1)\\\Rightarrow 111111\times 1111110[/tex]
Just tell me the steps, not the answer please. This diagram shows the aerial view of a playground. What is the area of the playground to the nearest square yard? Use the value = 3.14.
Area of the circle = π * (35 yd)^2
Let A be the area of the sector subtended by a central angle measuring 80º. Then
A / (π * (35 yd)^2) = 80º / 360º ==> A = 2450π/9 yd^2 ≈ 854.78 yd^2
Subtract from A the area of the triangle, whose base has length 45 yd and with height 25 yd:
A - 1/2 * (45 yd) * (25 yd) ≈ 292.28 yd^2
This is the area of the missing circular segment.
Then the area of the playground is equal to the area of the circle minus this area,
π * (35 yd)^2 - 292.28 yd^2 ≈ 3554 yd^2
I need help with finding the surface area of the prism
Answer:May be 12
Step-by-step explanation:
Answer: The surface area of the rectangular prism is 114 cm^2.
Step-by-step explanation:
1) Formula: A = 2wl + 2lh + 2hw
( W=width, l= length, h=height)
2) Plug it in: A=2(3)(8) + 2(8)(3) + 2(3)(3)
3) A= 2( 24) + 2(24) + 2(9)
4) A= 48+ 48+ 18= 114
Numa caixa ha 8 bolas verdes ,5 bolas vermelhas e 2 bolas azuis. Tira se ao acaso uma bola da caixa. Calcula a probabilidade da bola saida ser: verde ; vermelho; azul : verde ou azul; nao verde
Responda:
P (verde) = 8/15
P (vermelho) = 1/3
P (azul)). 2/15
P (verde ou azul) = 2/3
P (não verde) = 7/15
Explicação passo a passo:
Dado o seguinte:
Número de bolas verdes = 8
Número de bolas vermelhas = 5
Número de bolas azuis = 2
N (verde) = 8
N (vermelho) = 5
N (azul) = 2
Portanto, número total de bolas;
N (total) = 8 + 5 + 2 = 15
Probabilidade = número de resultados requeridos / Total de resultados possíveis
1.) Probabilidade de escolher uma bola verde:
P (verde) = número de bolas verdes / número total de bolas
P (verde) = 8/15
2.) Probabilidade de pegar uma bola vermelha: P (vermelho) = número de bolas vermelhas / número total de bolas
P (vermelho) = 5/15 = 1/3
3) Probabilidade de pegar uma bola azul:
P (azul) = número de bolas azuis / número total de bolas
P (azul) = 2/15
4) probabilidade de verde ou azul:
P (verde ou azul) = P (verde) + p (azul)
P (verde ou azul) = 15/8 + 2/15 = 10/15 = 2/3
P (não verde) = 1 - P (verde)
P (não verde) = 1-8/15
P (não verde) = 7/15
To solve the equation, Lorie applies the distributive property, combines like terms, then applies the addition and subtraction properties of equality to isolate the variable term on one side of the equation and the constant term on the other side. What are the possible coefficients of x after Lorie has completed these steps? 10 (one-half x + 2) minus 5 = 3 (x minus 6) + 1
The value of x after completing the steps is -16
Given the equation solved by Lorie expressed as":
[tex]10(0.5x+2) - 5=3(x-6)+1[/tex]
Expand the bracket using the distributive law as shown:
5x + 20 - 5 = 3x - 18 + 1
Collect the like terms:
5x - 3x = -18 + 1 - 20 + 5
Simplify by adding and subtracting
2x = -32
Divide both sides by 2:
2x/2 = -32/2
x = -16
Hence the value of x after completing the steps is -16
Learn more on equations here: https://brainly.com/question/22688504
Select the correct answer. The table shows the altitudes of four different cities. What is the correct way to arrange the altitudes in decreasing order? City Altitude (feet) Snowvale 13 Highbridge 58 Westsilver -51 Springmoor -35 A. 58, 13, -35, -51 B. -51, -35, 13, 58 C. -35, -51, 13, 58 D. 58, 13, -51, -35
Answer:
58>13>-35>-51, so A is correct.
Step-by-step explanation:
Altitude of Snowvale: 13
Altitude of Highbridge: 58
Altitude of Westsilver: -51
Altitude of Springmoor: -35
Decreasing order means from greatest to least.
Obviously, positive numbers are greater than negative numbers, so we put the positive numbers first. 58>13>-35>-51.
(Note that with negatives, a greater number is a number closer to zero!)
Answer:
A
Step-by-step explanation:
The altitudes have to be arranged in decreasing order.
58 > 13 > -35 > -51
Question 8: Please help. Line f has a slope of −63, and line g has a slope of −84.
What can be determined about distinct lines f and g?
Answer:
The answer is given below
Step-by-step explanation:
The slope of a line is the gradient of the line and is the ratio of the vertical change (change in y) to horizontal change (change in x) between two points. The slope of a line determines its steepness and direction.
A positive slope means the line slants from the right downward while a negative slope means the line slant upwards to the left. The greater the slope of for a positive slope the greater the steepness while for a negative slope the lesser the slope the greater the steepness.
Line f has a slope of −63, and line g has a slope of −84. Since both lines have negative slope, the line slant upwards to the left. The slope of line g is smaller than that of line f, therefore line g is more steeper than line f.
Please answer this question now in two minutes
Answer: x=6, y=20
Step-by-step explanation:
Since ΔBCD and ΔTUS are congruent triangles, we can set the sides equal to each other.
y=2y-20 [subtract both sides by 2y]
-y=-20 [divide both sides by -1]
y=20
--------------------------------------------------------------------------------------
3x+32=9x-4 [add both sides by 4, and subtract both sides by 3x]
36=6x [divide both sides by 6]
x=6
Question 6(Multiple Choice Worth 3 points) (03.05 MC) Find the domain for the rational function f of x equals quantity x plus 1 end quantity divided by quantity x minus 2 end quantity. (−[infinity], 2) (2, [infinity]) (−[infinity], −2) (−2, [infinity]) (−[infinity], 1) (1, [infinity]) (−[infinity], −1) (−1, [infinity])
Answer:
(A)[tex](-\infty, 2)(2, \infty)[/tex]
(−[infinity], 2) (2, [infinity])
Step-by-step explanation:
Given the rational function, f(x) such that:
[tex]f(x)=\dfrac{x+1}{x-2}[/tex]
The domain of the function are the values of x for which f(x) is defined.
A rational function is undefined when its denominator equals zero.
Denominator of f(x)=x-2
x-2=0
x=2
Therefore, f(x) is undefined at x=2.
The domain of f(x) is all therefore all real numbers excluding 2.
This is written in set notation as:
[tex](-\infty, 2)(2, \infty)[/tex]
The correct option is A.
Answer: A (-infinity,2) (2,infinity)
Step-by-step explanation:
An inverse variation includes the point (5,10). Which point would also belong in this inverse variation?
Answer: A. (10, 5)
Step-by-step explanation:
Inverse variation means xy = k
Given: x = 5, y = 10 --> k = 5(10) = 50
A. 10(5) = 50 This works!
B. -5(10) = -50
C. -10(5) = -50
D. 5(-10) = -50
The only option that results in k = 50 is option A.
Determine whether the statement is true or false. If it is false, rewrite it as a true statement. A population is the collection of some outcomes, responses, measurements, or counts that are of interest.
Answer:
False
Step-by-step explanation:
This is false because a population represents all and not some. A population is the collection of all outcomes, responses, measurements, or counts that are of interest. It is not a collection of 'some' outcomes. It is a collection of 'all' outcomes.
A population data set is a set which contains all the items or elements of a specified group or data set. It is a complete list of all the possible data values.
The sample of a population are drawn out of a population. They are A subset of a population.
Will get lots of points!! Thank you!! Trigonometry
Answer:
Angle B = 75 degrees
AC = 35.7
BC = 9.6
Step-by-step explanation:
Angle A = 15 degrees (given)
Angle C = 90 degrees (given)
c = 37 (given)
Angle B = 90-15 = 75 degrees
AC = AB cos(A) = 37 cos(15) = 35.7
BC = AB sin(A) = 37 sin(15) = 9.6
help me pls!! Ill so grateful!! TYSM!
Answer:
Hey there!
We want to change the equation for each line into slope intercept form, or y=mx+b form.
Luckily, the first one is already in slope intercept form.
The second line can be converted to: y=-3/4x-7/4.
The third line can be converted to: -8y=-6x+4, or y=3/4x-1/2
Line one and line two are neither perpendicular or parallel.
Line one and line three are perpendicular.
Lines two and three are neither perpendicular or parallel.
This is because parallel lines have same slope, and perpendicular lines have opposite reciprocal slopes.
Hope this helps :)
Answer:
Line 1 and Line 2: Neither
Line 1 and Line 3: Perpendicular
Line 2 and Line 3: Neither
Step-by-step explanation:
To make the answering process easier, begin by converting each formula into the format y = mx +b:
Line 1: y = -4/3x + 1 (already in format)
Line 2:
-4y = 3x + 7
Divide all terms by -4:
y = -3/4x - 7/4
Line 3:
6x - 8y = 4
Subtract both sides by 6x:
-8y = -6x + 4
Divide all terms by -8:
y = 3/4x - 1/2
We can determine the relationships of the lines:
Line 1 and Line 2: Neither. They do not have the same slope, and they are not opposite reciprocals of each other.
Line 1 and Line 3: Perpendicular. The slopes of each line are opposite reciprocals: (-4/3 and 3/4)
Line 2 and Line 3: Neither. The slopes are the same but one is negative.
How do you find the MAD? The MEAN ABSOLUTE DEVIATION
Step-by-step explanation:
Start with the average. (of your data set)
Find how much each data value deviates from the average (difference of average and data value).
Take the absolute value of each difference.
Add all of these absolute values.
Divide by the total number of data values.
How to find the MAD (Mean Absolute Deviation):
Let's use these numbers to figure out the MAD:
[tex]5, 2, 1, 3[/tex]
1. First thing you want to do is add the numbers together:
[tex]5+2+1+3=11[/tex]
2. Second thing you want to do is divide it by 4 because there are 4 numbers in the data set:
[tex]\frac{11}{4} =2.75[/tex]
3. Third thing you want to do is subtract the data set from 2.75:
[tex]5-2.75=2.25\\2.75-2=0.75\\2.75-1=1.75\\3-2.75=0.25[/tex]
4. Fourth thing you want to do is add all the differences:
[tex]2.25+0.75+1.75+0.25=5[/tex]
5. Last thing you want to do is now divide the sum (5) by 4 again:
[tex]\frac{5}{4}= 1.25[/tex]
So, the answer (MAD) would be 1.25
That's how you find the MAD to any data set in steps.
Hope this helped!
I know I'm 2 years late btw, you've probably already mastered this subject, sorry!
- June 7, 2022 (6/7/22)