Answer 868 miles
Step by step
Given: The scale from a map to actual distance is 2.5 cm to 620 miles. If the distance on the map between Chicago and Boston is about 3.5 cm. Hence, the approximate distance between Chicago and Boston = 868 miles.
If the distance on the map between Chicago and Boston is about 3.5 cm.
Then, the actual distance between them = 3.5\times 248 \text{ miles}=868 \text{ miles}
Hence, the approximate distance between Chicago and Boston = 868 miles.
i.e. 1 cm on map = 620/2.5 miles = 248 miles
Answer:868 miles
Step-by-step explanation: 1cm=620/2.5 = 248
distance is about 3.5
3.5x 248=868
Set up and evaluate the optimization problems. (Enter your answers as comma-separated lists.) Find two positive integers such that their sum is 14, and the sum of their squares is minimized. Find two positive integers such that their sum is 14, and the sum of their squares is maximized.
Answer and Step-by-step explanation:
Let x and y be two positive integers and their sum is 14:
X + y = 14
And the sum of square of this number is:
f = x2 + y2
= x2+ (14 – x)2
Differentiate with respect to x, we get:
F’(x) = [ x2 + (14 – x)2]’ = 0
2x + 2(14-x)(-1) = 0
2x +( 28 – 2x)(-1) = 0
2x – 28 +2x = 0
2x + 2x = 28
4x = 28
X = 7
Hence, y = 14 – x = 14 -7 = 7
Now taking second derivative test:
F”(x) > 0
For x = y = 7,f reaches its maximum value:
(7)2 + (7)2 = 49 + 49
= 98
F at endpoints x Є [ 0, 14]
F(0) = 02 + (14 – 0)2
= 196
F(14) = (14)2 + (14 – 14)2
= 196
Hence the sum of squares of these numbers is minimum when x = y = 7
And maximum when numbers are 0 and 14.
How do you solve
C= 3 - 17
Answer: C = -14
Step-by-step explanation: 3 - 17 = -14
PLEASE HELP ITS FOR A GRADE!!!
69% of Americans have $1,000 or less in a savings account, leaving them
vulnerable to common expense spikes such as a major car repair or a job loss.
What savings strategies have proven to be most effective?
Find the number of different ways that an instructor can choose 6 students from a class of 25 students for a field trip.
Answer:
177100
Step-by-step explanation:
I just used the combinations formula.
c(n,r) = (n over r) = n over (r(n-r)
help meh match the following.
Answer:
1. 2rs = the 4th blank
2. 18rst = the 1st blank
3. 25ab = the last blank
4. 30abc = the second blank
5. 45abr = the 3rd blank
Step-by-step explanation:
Please mark brainliest.
Answer:
See below.
Step-by-step explanation:
Multiply out the numbers on each line to the right and see which line on hte left they correspond to.
1. 2rs = 2 * r * s
2. 18rst = 2 * 3 * 3 * r * s * t
3. 25ab = 5 * 5 * a * b
4. 30abc = 2 * 3 * 5 * a * b * c
5. 45abr = 3 * 3 * 5 * a * b * r
A farm stand sells oranges in 3-lb bags for $3.75. What equation represents
the cost, c, for p pounds of oranges?
Answer:
.
Step-by-step explanation:
Which equation below would be perpendicular to the line x = 5?
Answer:Any equation that when solved will be y=(number)
Step-by-step explanation:
Well you didn't add any "equations below" so I can't help too much bite you need to solve the equations they listed and the result of the equation must be y=(number), there cannot be any other variable in the equation when simplified if that makes sense. Sorry i can't help more.
Paying 12$ to whoever can answer this question i created. MUST BE CORRECT
Answer:
x = 10
I used the Interior Angles of a Triangle Rule --The sum of all 3 interior angles in a triangle is always 180°.
(3x + 28) + (5x - 18) + 90° = 180°
Now i can get rid of the parentheses and combine like terms.
3x + 5x + 28 - 18 + 90 = 180
8x + 10 + 90 = 180
8x + 100 = 180
Then i subtract 100 from both sides to isolate x.
8x + 100 - 100 = 180 - 100
8x = 80
Then, i divide both sides by 8 to find x.
8x ÷ 8 = 80 ÷ 8
x = 10
. My Question is The Cost of Admission to the Zoo is 14.75 for each Adult, and 6.25 of 2 Adults and 1 child plan to spend the day at the zoo. How much does all the admission for the entire Family Cost?
Answer:
35.75
Step-by-step explanation:
Hope this helps. :)
Answer: $35.75
Step-by-step explanation:
2 adults $29.50 one child $6.95 In total they will be paying $35.75
Kevin bought 3 dvds for 45.99 how much would 7 dvds cost?
Answer:
I am pretty sure the answer would be $107.31. Sorry if I'm wrong.
Step-by-step explanation:
First you take the total of the 3 DVD's (45.99) and you divide that by 3 (number of DVD's) to get 15.33 which is called the unit price. Then, you take your unit price and multiply that by how many items you are going to buy.
45.99 / 3 = 15.33
15.33 x 7 = 107.31
The ratio of 12 to 15 is ____ the ratio value of 7 to 5
A) less than
B) greater than
Answer:
a
Step-by-step explanation:
7*2=14
5*2= 10
it would be (a) because 14 is greater than 12
Answer:
Step-by-step explanation:
⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️⬆️
HELP 25 Points CALC multiple choice
h(n)=-15•6^n complete the recursive formula
h(1)=
h(n)=h(n-1)•
ILL MARK BRAINLIEST
Answer:
h(1)= -90 h(n)=h(n-1) ⋅ 6
Step-by-step explanation:
Im smart :D
Suppose you draw a card from a deck. Remember that a deck of cards contains 52 cards. What is the
probability that you draw a three or a face card (jack, king, or queen)? There are 12 possible chances of
drawing a face card and 4 chances of drawing a three.
Answer:
there's a 1/13 chance it will be a three
PLEASE HELPP‼️‼️ write in factored form g(x)= x^3 - 4x^2 - x + 22
Answer:
[tex]g\left(x\right)=x^3\:-\:4x^2\:-\:x\:+\:22[/tex] in the factored form will be:
[tex]g\left(x\right)=x^3-4x^2-x+22=\:\left(x+2\right)\left(x^2-6x+11\right)[/tex]Step-by-step explanation:
Given the function
[tex]g\left(x\right)=x^3\:-\:4x^2\:-\:x\:+\:22[/tex]
Use the rational root theorem.
[tex]a_0=22,\:\quad a_n=1[/tex]
[tex]\mathrm{The\:dividers\:of\:}a_0:\quad 1,\:2,\:11,\:22,\:\quad \mathrm{The\:dividers\:of\:}a_n:\quad 1[/tex]
[tex]\mathrm{Therefore,\:check\:the\:following\:rational\:numbers:\quad }\pm \frac{1,\:2,\:11,\:22}{1}[/tex]
[tex]-\frac{2}{1}\mathrm{\:is\:a\:root\:of\:the\:expression,\:so\:factor\:out\:}x+2[/tex]
[tex]=\left(x+2\right)\frac{x^3-4x^2-x+22}{x+2}[/tex]
as
[tex]\frac{x^3-4x^2-x+22}{x+2}=x^2-6x+11[/tex] ∵ [tex]x^3-4x^2-x+22=\left(x+2\right)\left(x^2-6x+11\right)[/tex]
so the expression becomes
[tex]x^3\:-\:4x^2\:-\:x\:+\:22=\left(x+2\right)\left(x^2-6x+11\right)[/tex]
Therefore,
[tex]g\left(x\right)=x^3\:-\:4x^2\:-\:x\:+\:22[/tex] in the factored form will be:
[tex]g\left(x\right)=x^3-4x^2-x+22=\:\left(x+2\right)\left(x^2-6x+11\right)[/tex]
Alligators captured in Florida are found to have a mean length of 2 meters and a standard deviation of 0.35 meters. The lengths of alligators are believed to be approximately normally distributed. What is the approximate length of an alligator at the 67th percentile of alligator lengths?
a. 2.01 meters.
b. 2.44 meters.
c. 2.21 meters.
d. 2.15 meters.
e. 2.09 meters.
Answer:
The correct option is (d). 2.15 meters.
Step-by-step explanation:
According to the given scenario, the approximate length of an alligator at the 67th percentile is as follows:
The length of an alligator is [tex]X \sim N(2,0.35)[/tex] .
Let us assume the [tex]P_{67}[/tex] be the 67th percentile
[tex]P(X <P67) = 0.67\\\\P(Z < \frac{P_{67 - 2 }}{0.35} ) = 0.67\\\\\emptyset (\frac{P_{67 - 2 }}{0.35} ) = 0.67\\\\ (\frac{P_{67 - 2 }}{0.35} ) = \emptyset^{-1 (0.67)\\\\[/tex]
[tex]\frac{P_{67 - 2 }}{0.35} = 0.44\\\\P_{67} = 2.154[/tex]
Hence, the correct option is (d). 2.15 meters
The hockey team team won 8 out of their 14 games, At the same rate how many games should they expect to win out of 84?
Answer:
48 Games
Step-by-step explanation:
8/14 = 0.57142857142
84 x 0.57142857142 = 48 games
Hope that helps have a lovely night!
Solve:
|11x + 10| = 22
A. x= -11/32 or x= 11/12
B. x= -32/11 or x= 12/11
C. x= -10/11 or x= 10/11
D. x= 12/11 or x= 32/11
Answer:
D. x=12/11 or x=32/11.
Answer:
D) x=12/11 or x=32/11.
Step-by-step explanation:
because i just know math
191 Oa 1 Ob.(-9) Oc. 9 Od 9
Answer:
OD
hope this help thank me if did
Step-by-step explanation:
There are 8 triangles and 12 circles. What is the simplest ratio of triangles to circles?
Answer:
8:12
Step-by-step explanation:
Answer:
8/12=2/3
Step-by-step explanation:
simplest ratio of triangles to circles=8/12
=2/3
the is the quotient of 1 2/3 ÷ 1/9?
Answer: 5/27 0r 0.185185
Step-by-step explanation:
Hopes this helps!
what is m and b in 3y-6x=-12
I have a rectangular garden. I usually grow cucumbers in 2/3 of my garden, but I want to take 3/4 of the cucumber section to grow
radishes. After I make this change, how much of my whole garden will
be radishes?
Answer:
[tex]\frac{1}{2}[/tex] of the garden will be radishes.
Step-by-step explanation:
Given a rectangular garden which grows cucumbers in [tex]\frac{2}{3}[/tex] of the garden.
[tex]\frac{3}{4}[/tex] of the cucumber section to grow radishes.
To find:
How much of the whole garden will be radishes?
Solution:
Let the total area of the garden = [tex]x[/tex] sq units
Then as per our assumption, total area to grow cucumbers:
[tex]\frac{2x}{3}[/tex] sq units
Cucumber area to grow radishes = [tex]\frac{3}{4}[/tex] of cucumber area
[tex]= \dfrac{3}{4}\times \dfrac{2x}{3}\\\Rightarrow \dfrac{x}{2}\ sq\ units[/tex]
Fraction of whole garden to grow radishes = Area to grow radishes divided by whole area of garden
[tex]\Rightarrow \dfrac{\frac{x}{2}}{x}\\\\\Rightarrow \bold{\dfrac{1}{2}}[/tex]
Therefore, [tex]\frac{1}{2}[/tex] of the garden will be radishes.
(3w^2 + 7W + 2) + (w^2 + 2W + 8)
Answer:
4w^2+9w+10
Step-by-step explanation:
(3w^2+7w+10+w^2+2W
Combine like terms
4w^2+7w+10+2w
Combine like terms
4w^2+9w+10
Answer:
4w^2+9w+10
Step-by-step explanation:
An isosceles right-angled triangle is shown.
The area of the triangle is 200 cm?.
Work out the value of x.
Answer:
[tex]\boxed{x=4}[/tex]
Step-by-step explanation:
Area of triangle = 0.5 × Base × Height
→ Substitute in the values
200 = 0.5 × 5x × 5x
→ Simplify
200 = 12.5x²
→ Divide both sides by 12.5
16 = x²
→ Square root both sides
4 = x ∴ x = 4
Answer:
Step-by-step explanation:
if 4 oranges make 1 cup of juice then how much will 6 oranges make
Answer:
1 and 1/2 cups
Step-by-step explanation:
4 oranges = 1 cup
6 oranges / 4 oranges in a cup = 1 1/2 cups
If 4 oranges make 1 cup of juice, then that means 1 orange makes 1/4 cup of juice.
So we know that each orange makes 1/4 cup of juice. We need to find how much juice 6 oranges will make. To do that, multiply 1/4 by 6.
1/4 times 6 equals 6/4 or 1 and 1/2.
6 oranges will make 1 and 1/2 cups of juice.
The Ratio of green house to White House’s on Winthrop street is equal to 2 to 3.There are 60 White House’s on Winthrop Street.How many green houses are there?
Answer:20
Step-by-step explanation:
find mode of following
stem | leaves
4. 8
5 0,16
6 2,2,4
7 3,5
Answer:
62.
Step-by-step explanation:
A mode is a number that appears most frequently on a set of data. As you can see, there is a double of 62 while the rest is not repeated, so 62 is the mode.
1.) A small container holds 75% as much as a large container.If the small
container holds 36 units, how much does the large hold? Show your work
on either the double number line, the table, or using a tape diagram.
Answer: The large container holds 48 units
Step-by-step explanation:
36/3=12=25%
25%*4=100%
12*4=48