Answer:
1/1
Step-by-step explanation:
22/22 =1
A car wash detailed 144 cars in 4 hours. At what rate did the car wash detail cars in cars per hour?
Answer:
If this car wash took 4 hours to detail 144. 144/4 = 1/36 meaning that every hour they would detail 36 cars, we can double-check this and multiply 36 by 4 and we will get 144 meaning that this is true and that this car wash detailed 36 cars in an hour.
Hayden’s mom purchased a savings bond for Hayden. The value of this savings bond increases by 6% every year. One year after it was purchased, the value of the savings bond was $530. Find the value of the bond when Hayden’s mom purchased it. Explain your reasoning!
The new value would be the starting value x 1 + interest rate:
New value = starting value x 1.06
The new value is 530:
530 = starting value x 1.06
Find the starting value by dividing the new value by 1.06:
start value = 530/1.06
Start value = 500
Answer: $500.
explain reasoning: because the bond is only one year old you would multiply the value of the bond by the interest rate and add the interest amount to the bond to get $530.
70 points!!
Find the equation of the line.
Through (-8,11); perpendicular to y=9
The equation is:___
Answer:
x = -8
Step-by-step explanation:
If the line is perpendicular to y = 9 then it will be x = ?
Given the line passes through (-8, 11), then the x-coordinate is -8, so the equation will be x = -8
HEEEEEEEEEEEESEEEEEEEEEEELPPPP
Answer:
150x2/ [3] = 100
55 - [-22.5] x 2 = 100
84 x 4 - [6] = 330
200 + [8] - 10 = 198
Step-by-step explanation:
Hope this helps
Answer:
1. 3
2. 5
3. 6
4. 8
Step-by-step explanation:
I do not think BODMAS or BIDMAS applies in these questions otherwise it would be impossible
Ms. Wilson surveyed her class of 36 students about their favorite ice cream flavors.
• Two-thirds of the students preferred chocolate ice cream.
• One-fourth of the students preferred strawberry ice cream.
• The rest preferred vanilla ice cream.
How many students preferred vanilla ice cream?
Answer:
1 student.
Step-by-step explanation:
Two thirds of the students preferred chocolate ice cream:
2/3 of 36 is 24 students.
One fourth of the students preferred strawberry ice cream:
1/4 of 36 is 9.
9+24= 35
--------------------------------------------------------------------------------------
36-35=1
Only one student preferred vanilla ice-cream.
Answer:
1
Step-by-step explanation:
2/3 × 36
= 24 students preferred Choclate Ice cream
1/4 × 36
= 9 students prefer strawberry ice cream
total students who prefer Chocolate or Strawberry
9+24
=35
Remaining students
36-35
=1
only 1 student preferred vanilla ice cream
Look at the triangles shown below.
What is the value of b?
A)6
B)27T3
C)зVT3
D) 3V14
Answer:
[tex]b=3\sqrt{13}[/tex]
Step-by-step explanation:
Segment Addition Postulate:
[tex]\bar{PY}=\bar{MP}+\bar{MY}[/tex]
Substitute MP = 4, MY = 9 into PY = MP + MY:
[tex]\bar{PY}=4+9[/tex]
Calculate PY = 4 + 9:
[tex]\bar{PY}=13[/tex]
Representing same angles:
[tex]cos A = leg adjacent to <A/hypotenuse:
[tex]cos(Substitute DY = b, PY = 13 into cos (<DYP)=DY/PY:
[tex]cos(Substitute <DYP=<DYM into cos(<DYP)=b/13:
[tex]cos(cos A=leg adjacent to <A/hypotenuse:
[tex]cos\left(Substitute DY=b, MY=9, cos(<DYM)=b/13 into cos (<DYM)=MY/DY:
[tex]\frac{b}{13}=\frac{9}{b}[/tex]
Calculate b/13=9/b:
[tex]b=3\sqrt{13}[/tex]
I hope this helps you :)
The Smiths bought an apartment for $78,000. Assuming that the value of the apartment will increase in value 5% a year, how much will the apartment be worth in 6 years? Answer to the nearest penny.
The value of the apartment in 6 years is $104,527.46.
What is the future value of the apartment?The value of the apartment appreciates (increase in value) by 6% every year. The formula that can be used to determine the future value of the apartment is:
FV = P (1 + r)^n
Where:
FV = Future value P = Present value R = interest rate N = number of years$78,000(1.05)^6 = $104,527.46
To learn more about future value, please check: https://brainly.com/question/18760477
The worth of the apartment after 6 months is =$23,400
Simple interestThe original amount of the apartment(p) = $78,000
The rate of increase of the value of the apartment is(r)= 5%
Time(t) = 6years
But simple interest =
[tex]si = \: \frac{p \times t \times r}{100} [/tex]
[tex]si = \frac{78000 \times 6 \times 5}{100} [/tex]
[tex]si = \frac{2340000}{100} [/tex]
si = $23,400
Therefore, the worth of the apartment after 6 months is =$23,400
Learn more about simple interest here:
https://brainly.com/question/20690803
HELP PLEASE
Meredith borrows $12,560 and pays 2 percent simple interest each year for 4 years. What is the total amount of
interest that she will pay on the loan?
$25120
$1,004.80 $
$11,555.20
$13,564.80
Answer
$1,004.8
Step-by-step explanation:
hope this helps
[tex]~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$12560\\ r=rate\to 2\%\to \frac{2}{100}\dotfill &0.02\\ t=years\dotfill &4 \end{cases} \\\\\\ I = (12560)(0.02)(4)\implies I=1004.80[/tex]
Helppp pleaseee 10 points
Answer:
-10, -3, -2.0001, -2.1, -2, -7, -5,
order the numbers least to greatest.
Answer:
21/50 ,43.7%, 87/200,0.44
Step-by-step explanation:
Noah has collected $50 by selling lemonade and muffins. He sold $10 worth of muffins. He sold
each cup of lemonade for $2. How many cups of lemonade did he sell?
Answer:
5 cups of lemonade
Step-by-step:
Let's first make an equation from the question.
$10 = muffins (x)
$2 = cups of lemonade (y)
$10x + $2y = $50
x= 4
y= 5
Plug in the numbers:
$10(4) + $2(5) = $50
Seven more than three times a number is greater than thirty-four
Answer:
3x+7>34
Step-by-step explanation:
more than means+and the times means multiple
Mr Sire purchases a bicycle for $163.62. How much cash will he need to pay?
Answer:
$163.62
Step-by-step explanation:
$163.62
Answer:
$163.62
Step-by-step explanation:
Please mark me as brainliest
Need help finding the solution for this linear equation
Answer:
x = -3
y = 7
Step-by-step explanation:
4y + 2 = 30
x - 4y = -31
Simplify the first equation by subtracting 2 from both sides:
4y = 28
Divide both sides by 4
y=7
Plug 7 in for y to solve for x:
x - 4(7) = -31
x - 28 = -31
Add 28 to both sides
x=-3
(x,y)=(-3,7)
Hi can you Answer this plss I really need it ty in advanced!
Given:
[tex]X = {0,1,2,3,4} \\ Y = {2,4,6,8,10,12} \\ Z = {3,6,9,12,15}[/tex]
So,
[tex]X∪Y = (0,1,2,3,4) \: ∪ \: (2,4,6,8,10,12) \\ = > (0,1,2,3,4,6,8,10,12)[/tex]
[tex]X∩Z = (0,1,2,3,4) \: ∩ \: (3,6,9,12,15) \\ = > (3)[/tex]
[tex](X∪Y)∩Z = (0,1,2,3,4,6,8,10,13) ∩ (3,6,9,12,15) \\ = > (3,6)[/tex]
Using the generic set operations, we will see that:
1) X U Y = {0, 1, 2, 3, 4, 6, 8, 10, 12}2) X ∩ Z = {3}3) Z = {3, 6, 9, 12, 15}How to operate with sets?
For two given sets A and B, we define:
A ∪ B as the union of the two sets, this is the set that contains all the elements from both A and B.
A ∩ B is the intersection of A and B, this set contains only the common elements of A and B.
Now we want to complete the given table:
1) X U Y is the union of sets X and Y (we do not repeat elements) so this is equal to:
{0, 1, 2, 3, 4, 6, 8, 10, 12}
2) X ∩ Z is the intersection of X and Z, the only common element between these sets is 3, then:
X ∩ Z = {3}
3) (X U Y)∩ Z
Is the set of the common elements between:
X U Y = {0, 1, 2, 3, 4, 6, 8, 10, 12}
Z = {3, 6, 9, 12, 15}
The common ones are:
3, 6, and 12, then we have:
(X U Y)∩ Z = {3, 6, 12}
If you want to learn more about sets operations, you can read:
https://brainly.com/question/2166579
Struggling lol. Any help would be appreciated!
Answer:
Heptagon = 84 ft²
Octagon = 186 yd²
Triangle = 48√3 m²
Step-by-step explanation:
[tex]\textsf{area of a regular polygon}=\dfrac12ap[/tex]
where:
[tex]a[/tex] = length of apothem[tex]p[/tex] = perimeterHeptagon
a = 5.0 ft
p = 33.6 ft
⇒ area = 1/2 x 5.0 x 33.6 = 84 ft²
Octagon
a = 7.5 yd
p = 8 x 6.2 = 49.6 yd
⇒ area = 1/2 x 7.5 x 49.6 = 186 yd²
Triangle
Formula for the apothem of an equilateral triangle :
[tex]a=\dfrac{s}{2\sqrt{3}}[/tex] where [tex]s[/tex] = side length
a = 4, so:
[tex]4=\dfrac{s}{2\sqrt{3}}[/tex]
[tex]\implies 8\sqrt{3}=s[/tex]
Now we know the side length, we can calculate the perimeter (p):
p = 3 x 8√3 = 24√3
⇒ area = 1/2 x 4 x 24√3 = 48√3 m²
5:8 equal 42:56 true or false
Answer:
false
Step-by-step explanation:
42 is not divisible by 5
Answer:
False
Step-by-step explanation:
5 does not go into 42
PLEASE HELP ME I NEED TO DO THIS BY TODAY
Answer is median because aas you can see as the line if divided by its hald angle it equals a median angle.
find the area.
help pls
Answer:
81.6 inches squared
Step-by-step explanation:
The formula for calculating all parallelograms is Area+=base*height.
The height is given to you, 6.8, the base of the figure is also given, 12.
Now all you have to do is to multiply.
That would get you to 81.6.
(When asked for area of parallelogram, the length of any line other than the height and base is not needed)
hoped this helped!
2) A certain company charges $7.95 per square foot to lay patio. How much would
they charge to lay a 23 foot by 15 foot patio?
We are not sure what the error is here.
Answer:
The student only counted the shaded blocks
Step-by-step explanation:
[tex]3 \div \frac{1}{4} = 3 \times \frac{4}{1} = \frac{12}{1} = 12[/tex]
so it would be
[tex] \frac{3}{12} = \frac{1}{4} [/tex]
please help on the half circle one
Answer:
28.26
Step-by-step explanation:
Area of a circle is pi * radius squared
The diameter is 6, so the radius is 3
pi * 3^2 = 3.14 * 9 = 28.26
f(x) = 3x^2 - 9x + 2
What's the axis of symmetry?
What is the coordinate of the vertex?
axis of symmetry: x=1.5
vertex: (1.5,-4.75)
21 A container in the shape of a triangular prism is used to hold a slice of pizza. The dimensions
of the container are shown in the diagram.
10.8 in.
7.2 in.
1.5 in.
PIZZA
9 in.
What is the volume of the container in cubic inches?
The volume of the triangular prism is 58.32 in³
Volume
Volume is the amount of space occupied by a three dimensional object.
The volume of a triangular prism is given by:
V = Area of triangle * height
Area of triangle = (1/2) * 10.8 * 7.2 = 38.88 in²
Volume of prism = 38.88 * 1.5 = 58.32 in³
The volume of the triangular prism is 58.32 in³
Find out more on Volume at: https://brainly.com/question/1972490
Answer:
58.32in3
Step-by-step explanation:
i did the test
They are asking for the value of x
Answer:
the value of X is 70
Step-by-step explanation:
45 + 2x - 5 = 180
combine common stuff (45 and -5)
40 + 2x = 180
-40 -40
2x=140
/2 /2
x = 70
A rectangle has a
perimeter of (12x +
8y). If one side of
the rectangle is (4x
– 2y), write an
expression of the
other side
Answer:
3x + 6y
Step-by-step explanation:
so the perimeter is 12x + 8y and a side is 4x-2y so that means that side and the side across is 8x-4y so you put it all to one side to get 6x +12y then divide that by 2 to find 1 side so the side is 3x + 6y
What is the area of the shaded part of the figure if x=8 ft? Use 3.14 to approximate π. A square with side lengths x feet. A quarter circle with radius x feet is cut out of the square. x=8 ft Area of a quarter circle =14 πx2 CLEAR CHECK ft2
The area of the shaded part of the figure is; 114.3ft²
Area of a quarter circle and a squareFrom the task content:
It follows that the area of the shaded portion of the figure is the sum of the area of the square and the quarter circle.The area of the square is;
A(square) = x² = 8² = 64ft².The area of the quarter circle is;
A(quarter circle) = (1/4)πx² = 1/4×22/7 × 8²A(quarter circle) = 50.3ft².
Ultimately, the area of the shaded part of the figure is; 50.3ft² + 64ft² = 114.3ft².
Read more on area of quarter circles;
https://brainly.com/question/2193853
Answer:
13.76
Step-by-step explanation:
I got it right :)
Find the volume if the cylinder. Round your answer to the nearest tenth.
࿐αɴѕωєя࿐
12.6 ft³
Step-by-step explanation:
h = 1 ft
r = 2 ft
π = 3.14
V of cylinder = πr²h
= 3.14 × 2² × 1
= 12.56
= 12.6 ft³
Hope it helps ⚜
8
5. At the class party, each student will be given a container filled with 8 ounces of juice. There are
25 students in the class. How many ounces of juice does the teacher need to buy?
Answer:
Since there is 25 students and 8 ounces there you have to do 25 times 8 which equals 200
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?
Enter your answer as a number, like this: 42
Answer:
Rate of change per year = $5300
Step-by-step explanation:
Step 1: Substitute the variable P for the invested amount
1. A(t) = 5000(1.06)t
2. A(t) = (5300)t
Step 2: Substitute the variable t for the first 15 years
1. A(15) = (5300)(15)
2. A(15) = 79,500
Step 3: Substitute the variable t for the 20 years
1. A(20) = (5300)(20)
2. A(20) = 106,000
Step 4: Find your two ordered pairs and relation
First ordered pair: (15, 79,500)
Second ordered pair: (20, 106,000)
Relation: {(15, 79,500), (20, 106,000)}
Step 5: Find the slope or rate of change between 15 and 20 years
Let (y₁, x₁) = (15, 79,500)
Let (y₂, x₂) = (20, 106,000)
1. Use the slope expression: y₂ - y₁/x₂ - x₁
2. Substitute the correct values into the expression:
106,000 - 79,500/20 - 15
3. Simplify: 26500/5 = 5300
4. Hence, the rate of change in dollars per year is $5300