Answer:
7.2 miles
Step-by-step explanation:
See comment for complete question.
Let:
[tex](x,y) \to Havertville[/tex]
Northtown will be represented as:
[tex](x+6,y+4)[/tex] --- i.e 6 units right and 4 units up
The distance both is calculated using:
[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
This gives:
[tex]d = \sqrt{(x - (x + 6))^2 + (y -( y + 4))^2}[/tex]
Remove brackets
[tex]d = \sqrt{(x - x - 6)^2 + (y - y - 4)^2}[/tex]
Evaluate like terms
[tex]d = \sqrt{(-6)^2 + (-4)^2}[/tex]
[tex]d = \sqrt{36 + 16}[/tex]
[tex]d = \sqrt{52}[/tex]
[tex]d = 7.2\ units[/tex] -- approximated
From the question, we understand that:
[tex]1\ unit = \ mile[/tex]
So:
[tex]d = 7.2\ miles[/tex]
A playground has two sandboxes. Each sandbox is in the shape of a right prism. The first sandbox has a square base with a side length of 8 feet. What is the area, in square feet, of the base of the first sandbox? Show or explain how you got your answer. Help
Answer:
64 ft²
Step-by-step explanation:
A prism is a three dimensional shape with two identical shapes facing each other known as bases. A right prism is a three dimensional solid with a polygon as its base and vertical sides which are perpendicular to the base.
Given that the first sandbox is a right prism a square base, hence this is a square prism (that is a cube).
Since the side length of the square base is 8 ft, hence the area of the base of the first sandbox is:
Area of the base = length * length = 8 ft * 8 ft = 64 ft²
i will give brainliest!! please help me, i appreciate it !!
Answer:
-4050
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
Identify
6x²y³ - 2x + 10
x = 5
y = -3
Step 2: Evaluate
Substitute in variables: 6(5)²(-3)³ - 2(5) + 10Exponents: 6(25)(-27) - 2(5) + 10Multiply: -4050 - 10 + 10Add: -4050An article is bought for Rs 8600 and is sold at a profit of 20 %. Find its selling price.
Selling price = 8600 + Profit
Selling price = 8600 + ( 8600 × 20/100 )
Selling price = 8600 + ( 86 × 20 )
Selling price = 8600 + 1720
Selling price = Rs 10,320
Of six Kokomuka (Hebe Elliptica) seedlings, four have survived the winter.
What percentage of the seedlings survived?
Answer:
66.7%
Step-by-step explanation:
The number of seedlings planted is 6, while the number of seedlings that survived the winter is 4. Therefore the percentage of seedlings that survived can be gotten using the formula:
Percentage of seedlings survived = (survived seedlings / total seedlings planted) * 100%
Therefore substituting values gives:
Percentage of seedlings survived = (4 / 6) * 100% = 66.7%
Given the equation ab= c where a=2.
Select an equation that is equivalent.
A. ax2=c
B. bx2=c
C. cxa= b
D. b x C = a
PLEASE HELP 30 POINT AND BRAINLIEST
Answer:
first is 2 second is 3
Step-by-step explanation:
what multiples to -52 but also adds to 24
Answer:
-2 and 26
Step-by-step explanation:
-2*26=-52
-2+26=24
(PLEASE HELP) 17. Jon read 3/8 of a book the
first day. 1/3 the second day.
and 1/4 the third day. On the
fourth day he finished the book.
What part of the book did Jon
read on the fourth day?
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
24 is a common multiple so ill just use that as a denominator:
3/8 = 9/24
1/3 = 8/24
1/4 = 6/24
so then adding those up:
[tex]\frac{9}{24}[/tex] + [tex]\frac{8}{24}[/tex] + [tex]\frac{6}{24}[/tex] = [tex]\frac{23}{24}[/tex]
then whats left is 1/24 left to read, which cant be simplified so [tex]\frac{1}{24}[/tex]
Answer:
[tex]\frac{1}{24}[/tex]
Step-by-step explanation:
Let x be the part of the book he read on fourth day.
[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1[/tex]
[tex]LCM \ of \ 8, 3 , 4 = 24.\ Therefore , \\\\[/tex]
[tex]\frac{3}{8} + \frac{1}{3} + \frac{1}{4} + x = 1\\\\\frac{9 + 8 + 6 + 24x}{24} = 1\\\\23 + 24x = 24\\24x = 1\\x = \frac{1}{24}[/tex]
[tex]On\ the\ fourth\ day\ he\ read\ \frac{1}{24} \ of\ the\ book\ to\ finish\ it.[/tex]
On a map, the distance between two towns is 12 centimeters. If 3 centimeters represents 90 miles, what is the actual distance between the cities in miles?
A. 7/24
B. 24/7
C. 24/25
D. 7/25
Answer:
d
Step-by-step explanation:
please help!!!!!! i will mark brainliest!
Answer:
d
Step-by-step explanation:
please help!! i need help asap <33
Answer:
9
Step-by-step explanation:
2) La expresión 7∙7∙7∙7 es igual a:
a) 47
b) 4+7
c) 47
d) 74
Answer:
d) 7⁴
Step-by-step explanation:
7 ∙ 7 ∙ 7 ∙ 7
cuatro sietes = siete elevado a cuatro
d) 7⁴
The Martinez family picked 3 lb of apples. Ana picked for those apples,
How many pounds of apples did Ana pick?
Answer:
C. 7/8
Step-by-step explanation:
The Martinez family picked 3 and one-half pounds of apples. Ana picked one-fourth of those apples. How many pounds of apples did Ana pick?
options
A. 1/4
B. 3/4
C. 7/8
D. 1 1/4
E. 3 1/8
Total apples the Martinez family picked = 3 1/2 pounds
Ana picked one-fourth of those apples.
Number of apples Ana picked = 1/4 × 3 1/2 pounds
= 1/4 × 7/2 pounds
= (1 * 7) / (4 * 2) pounds
= 7/8 pounds
Ana picked 7/8 pounds of apples
READ THE IMAGE WILL GIVE BRIANLIENSTAINERSTALIN
Question 5 options:
9
5
3
12
the table shows some of the solutions for an inequality related to the line shown in the graph. which inequality describes the solution set?
Answer:
Option B
Step-by-step explanation:
By plotting the points given in the table,
All points lie below the dark red line.
Let the equation of the line is,
y - y' = m(x - x')
Here, m = Slope of the line
(x', y') is a point lying on the given line.
Slope of the line passing through two points (-1, 3) and (0, 1) = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m = [tex]\frac{3-1}{-1-0}[/tex]
m = -2
Therefore, equation of the line passing through (0, 1),
y - 1 = -2(x - 0)
y = -2x + 1
Since all the points given in the table lie below the dark red line so the solution are will be,
y ≤ -2x + 1
Option B will be the correct option.
Jackie has 54 fewer beads then sally. If B stands for the number of beats Jackie has, write an expression that represents the number of beats Sally has?
Answer:
B+54
Step-by-step explanation:
If Jackie has B beads, and Sally has 54 more than that, then you are adding 54 to B
Write the regression line equation for the following data.
X 43 21
25 42 57 59 33
Y 99 65 79 75 87 81
92
A) 0.53x - 3.58
B) 0.31x + 70.21
70.21 +0.31%
D) -3.58 +0.53x
Answer:
B) y = 0.31x + 70.21
Step-by-step explanation:
Put the data into 2 lists and use the LinReg feature on the TI-84 to get your regression equation.
Now that you know how long it will take to buy your house from Assignment 4 and how much you need to save for retirement given different start times in your life (Assignment 5), you will now determine the time you will start saving for retirement. Add the savings time it takes to buy your house (2 years or the months you calculated, whichever is greater) to the age 22. By using the new budget from assignment 4, determine if you can afford the savings it takes from assignment 5 to retire with $1,000,000 based on your new age after buying your house. If you cannot, you have a choice, change your budget, or retire will less money.
For your answer, tell me your age, if you can afford in your budget to retire with $1,000,000. If you can, write your budget with the retirement savings added in. If you cannot, write that you cannot afford it and tell me if you are going to change your budget to afford it or simply retire with less money. Then write your budget with what savings you can afford. Remember, retiring with less money does not mean that you will have a smaller retirement income, it just means that you will pass on less than a million dollars to your children.
Answer:
You have to answer this yourself because i believe this quesstion is directed to you and your teacher want's to know your answer
Step-by-step explanation:
30 Points I NEED HELP ASAP MATH PROBLEM 7th Grade
Answer:
-45 =x
Step-by-step explanation:
1/5(4x-2.5) = 5(.4x+10) +3 1/2
Change all to decimal form
.2(4x-2.5) = 5(.4x+10) +3.5
Distribute
.8x - .5 = 2x +50 + 3.5
Combine like terms
.8x - .5 = 2x +53.5
Subtract .8x from each side
.8x-.8x - .5 = 2x-.8x +53.5
-.5 = 1.2x +53.5
Subtract 53.5 from each side
-.5 -53.5 = 1.2x +53.5-53.5
-54 = 1.2x
Divide each side by 1.2
-54/1.2 = 1.2x /1.2
-45 =x
Determine the length of the radius of the circumscribed circle to the right triangle with the legs 7 cm and 4cm.Round your answer to the nearest hundredth
Answer:
4.03cm
Step-by-step explanation:
Note that the diameter of the circumscribed circle to the right triangle is the hypotenuse of the triangle.
To get the diameter, we will use the pythagoras theorem as shown;
d² = 7² + 4²
d² = 49 + 16
d² = 65
d = √65
d = 8.0622577
Since radius = d/2
radius = 8.0622577/2
radius = 4.0311288
Hence the radius of the circumscribed circle to the nearest hundredth is 4.03cm
Which statement is correct?
Answer:
Fresh water is evenly distributed throughout the earth.
Step-by-step explanation:
Freshwater exists on Earth's surface in lakes, rivers, and ice, as well as below the surface as groundwater.
Hope this answer helps you :)
Have a great day
Mark brainliest
NEED ANSWER ASAP
The point A(7,-8) is reflected over the point (4, -5) and its image is point B. What are the coordinates of point B?
Answer:
point B (1 , -2)
Step-by-step explanation:
__________________
What is the area of this triangle?
reduce 50/80 to the simplest terms in fractions
Answer:
5/8
hope this helps
have a good day :)
Step-by-step explanation:
A circle of radius 1 is inside a circle of radius 5. The smaller circle is rotated clockwise
on the larger circle without slipping until it arrives back at its starting point P. How
many revolutions (turns) will the small circle make? Be careful. The answer is not 5.
9514 1404 393
Answer:
4
Step-by-step explanation:
Consider the arcs PQ and P'Q. When turns are made without slipping, these have the same measure. The length of arc PQ is ...
PQ = CP·θ
The length of arc P'Q is ...
P'Q = O₂Q·(∠PO₂Q)
Segment O₂A is parallel to CP, so angle AO₂Q is θ. Then ∠PO₂Q = θ+α, where α is the angle by which P' has rotated counterclockwise from A.
We are given that ...
CP = 5, O₂Q = 1
Using the above relations, we can write ...
5θ = 1(θ+α)
α = 4θ
That is, for every full turn θ = 2π, the smaller circle makes turns totalling 4(2π) = 8π, or 4 full turns.
The small circle makes 4 revolutions to arrive at its starting point.
find the circumference of a circle with a radius of 2.5 cm
17. Jing has $800 to deposit into two different savings accounts.
•She will deposit $600 into an account that earns simple interest annually at a rate
of 2.75%.
•She will deposit $200 into an account that earns 2.5% interest compounded
annually.
Jing will not make any additional withdrawals or deposits. Which amount is closest
to the total balance of the two accounts at the end of 3 years?
Answer:
$864.88
Step-by-step explanation:
(1. $600 + $49.50 = $649.50
(2. $200 + $15.38 = $215.38
$649.50 + $215.38 = $864.88
A = $864.88
How do this I can’t do it?
Answer:
scale factor = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
The scale factor is the ratio of corresponding sides, scaled copy to original
scale factor = [tex]\frac{3}{9}[/tex] = [tex]\frac{1}{3}[/tex]
Need the answer please help
the answer is -7, -5 its the answer check it