Answer:
[tex]1600\ \text{people per square mile}[/tex]
Step-by-step explanation:
Number of people per square mile in City A is 6000.
In terms of size City B is a dilation of City A with scale factor 1.5.
This means a length of 1 mile in city A would be 1.5 miles in city B.
So, [tex]1\ \text{mile}^2\text{ in City A}=1.5^2\ \text{mile}^2\text{ in City B}[/tex]
City B has [tex]\dfrac{3}{5}[/tex] of the population of City A.
So the population density of City B would be
[tex]\dfrac{\dfrac{3}{5}\times 6000}{1.5^2}=1600\ \text{people per square mile}[/tex]
The population density of City B is [tex]1600\ \text{people per square mile}[/tex].
2. Find the missing side length.
Round answers to the nearest tenth.
13
29°
Х
Answer:
50
Step-by-step explanation:
Since it's a right angle, it's automadically 90 degrees. Add 29 + 13 which gives you 42. 90 - 42 gives you 48. Rounded to the nearest 10th is 50. Here's what I explained in numerical form:
29 + 13 = 42
90 - 42 = 48
Five or more raise the score. For or less turn to zero:
48
8 is larger than 5 so you add "plus 1" to the next number:
50
what are the values of x and y
Answer:
Y: 145
X: 35
Hope I was able to help you, have a wonderful day!
PLEASE HELP I AM ABOUT TO FAILL
Suppose that a plano cost 5,000 and loses 20% of its value oach year. table shows the value, of a piano after years.
1. 5000
2. 4000
3. 3200
write an equation that can be used to find the value of the piano, v, after t years.
Answer:
Step-by-step explanation:
90
Based on the information, the value of the piano after 16 years is $140.74.
What is Compound interest?Compound interest is a method of calculating the interest charge. In other words, it is the addition of interest on interest.
Using this formula to find the value of the piano, v, after t years.
CP = Principal(1-rate)[tex]^t[/tex]
Where:
Principal=$5,000
Rate=20%
Number of year = 16 years
Let plug in the formula;
=5,000(1-0.20)^16
=5,000(.80)^16
=$140.737
= $140.74 (Approximately)
Hence, the value of the piano after 16 years is; $140.74.
Learn more about interest here;
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A fitness trainer sets the incline on a
treadmill to 7º. The walking surface is 5
feet (60 inches) long. Approximately how
many inches did the trainer raise the
end of the treadmill from the floor?
Answer:
Step-by-step explanation:
sin Ф equal the opposite leg of the triangle dividend by the hypotenuse
sin Ф = opp / hyp
the problem gave you the Ф (the angle 7°)
and the length of the hypotenuse (the walking surface 60 inches)
You want to use the inches since the question wants to know how many inches off the floor is the end of the walking surface
sin 7 = opp / 60 solve for opp
60 × sin(7) = opp use your calculator, I don't have one handy
I need help on this right now please help ASAP!!!
Answer:
C would be your answer
Step-by-step explanation:
The line y = mx + c passes through the points (-2, 1) and (4,4).
Write down a pair of simultaneous equations involving m and c.
Solve the simultaneous equations.
Answer:
Step-by-step explanation:
Insert x for -2 & 4 and y for 1 & 4
1=-2m+c, 4=4m+c
solve the equation, m=1/2, c=2
Answer:
y = 1/2m + 2
Step-by-step explanation:
1 = -2m + c (1)
4 = 4m + c (2)
2 = -4m + 2c (1*)
(1*) + (2) = 6 = 3c
c = 2
y = mx + 2
4 = 4m + 2
2 = 4m
m = 1/2
so y = 1/2m + 2
Your employer tells you that the salary for your new job will be less than $484 per week but not less than $396 per week. Which inequality describes your salary, S?
I think the inequality is less than or equal to (here what the sign looks like ≤ )
Aaron saw it was 86° Fahrenheit, F, in Australia in January. Aaron used the formula C=5/9(F−32) to find the temperature in degrees Celsius, C. What temperature, in degrees Celsius, did Aaron find?
Answer:
[tex]30^{\circ}\text{C}[/tex]
Step-by-step explanation:
The temperature that Aaron saw was [tex]86^{\circ}\text{F}[/tex]
The formula to convert Fahrenheit to Celsius is
[tex]C=\dfrac{5]{9}(F-32)[/tex]
[tex]\Rightarrow C=\dfrac{5}{9}\times (86-32)[/tex]
[tex]\Rightarrow C=30^{\circ}\text{C}[/tex]
The given temperature in Celsius that Aaron found would be [tex]30^{\circ}\text{C}[/tex].
what is 2x-6=16
please help
Answer:
x=11
Step-by-step explanation:
step 1- add 6 to both sides
2x-6+6=16+6
step 2- divide both side by 2
2x/2 22/2
x=11
I suggest using a calculator called Math Papa that's what I use for equations
HELLLLLP MEEEE IDENTIFY THE HEIGHT
Answer:
11
Step-by-step explanation:
The height is 11 inches.
Find the distance between (5, 9) & (-7, -7). Round to the nearest tenth.
In which situation do the quantities combine to make 0? A Kurt deposited $50 into his checking account on Friday. The next week, he deposited $50 into his savings account. B A football team gained 4 yards on one play and lost 2 yards on the next play. C The temperature at 10 pm was 6°C. Over the next 3 hours, the temperature decreased by 2°C each hour. D Marci spends $8 to make a necklace and earns $8 from each bracelet sold. On Saturday, she made 5 necklaces and sold 10 bracelets.
Side c on a right triangle is ALWAYS the longest.
O No answer text provided.
O No answer text provided.
O True
O False
Answer:
the answer should be false..
5
Which of the following sets of values completes the function table?
Input (x)
3x-1
Output (y
2.
3(2) - 1
3
313) - 1
4
3[4)-1
A) 0,1,2
B 5, 8, 11
5, 6, 7
D) 6,9,12
Answer:
5, 8, 11
Step-by-step explanation:
3(2) - 1 = 5
3(3) - 1 = 8
3(4) - 1 = 11
Answer:
27,81
Step-by-step explanation:
A designer decides to create a larger scale model of a smart phone so that his team can work more easily on the design. The length of the screen of his model is 60 centimeters, which is 2.5 times longer than it is wide. The designer asked his team to build the screen of the actual phone with a width of 6 centimeters. What is the scale factor of the model phone to the actual phone?
Answer:
The length of the model is 250% of the width and is 60 centimeters, and the width of the actual phone is 6 so it has a scale factor of 4:1.
Hope this helps!
The relationship between income (I), in dollars, and the time (h), in hours, for 2 different jobs is represented. Compare the hourly rates of Job A and Job B.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. However, I will solve using the following assumptions.
Job A:
[tex]y = 2x + 5[/tex]
Job B
[tex]\begin{array}{cccccc}x & {1} & {2} & {3} & {4} & {5} \ \\ y & {6} & {10} & {14} & {18} & {22} \ \end{array}[/tex]
The first step is to calculate the rate of Job B using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (1,6)[/tex]
[tex](x_2,y_2) = (2,10)[/tex]
So, we have:
[tex]m = \frac{10 - 6}{2 - 1}[/tex]
[tex]m = \frac{4}{1}[/tex]
[tex]m = 4[/tex]
So, the hourly rate of job B is $4/hr
For Job A:
[tex]y = 2x + 5[/tex]
A linear equation has the form:
[tex]y = mx + b[/tex]
Where m is the rate
By comparison:
[tex]m = 2[/tex]
So, the hourly rate of Job A is $2/hr
Comparing both rates, we can draw the following conclusions;
The hourly rate of Job A is greater than the hourly rate of Job BThe hourly rate of Job A is twice the hourly rate of Job B.Trista needed x number of cups
of flour to bake cupcakes. If she
triples her recipe she will need
6 cups of flour.
Answer:
x = 2
Step-by-step explanation:
x * 3 = 6 → is your equation to solve for x
x = [tex]\frac{6}{3}[/tex]
x = 2
Consider Functions F and G
Answer:
A
Step-by-step explanation:
We are given two functions:
[tex]\displaystyle f(x)=\frac{x-16}{x^2+6x-40}\text{ and } g(x)=\frac{1}{x+10}[/tex]
And we want to find:
[tex]f(x)+g(x)[/tex]
Thus:
[tex]\displaystyle =\frac{x-16}{x^2+6x-40}+\frac{1}{x+10}[/tex]
We can factor the denominator of the first term:
[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}[/tex]
In order to add the two terms, we must have a common denominator. To achieve this, we can multiply to second term by (x - 4). Therefore:
[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{1}{x+10}\Big(\frac{x-4}{x-4}\Big)[/tex]
Multiply:
[tex]\displaystyle =\frac{x-16}{(x+10)(x-4)}+\frac{x-4}{(x+10)(x-4)}[/tex]
Combine:
[tex]\displaystyle =\frac{(x-16)+(x-4)}{(x+10)(x-4)}[/tex]
Simplify:
[tex]\displaystyle =\frac{2x-20}{(x+10)(x-4)}[/tex]
We can expand the denominator:
[tex]\displaystyle =\frac{2x-20}{x^2+6x-40}[/tex]
Therefore, our answer is A.
Answer:
A
Step-by-step explanation:
Help pls for brainlest and extra points i need done soon
Answer:
5/6= 10/12
12/100<10/12
fish swims at an altitude of -20.2 meters. A bird flies at an altitude of 38.1 meters. Which of the following statements are true? PLZ HEPPO
Answer:
D and e
Step-by-step explanation:
25. Multi-A carpenter is making a tray to fit between two circular pillars in the shape of the shaded area as shown. She is using a jigsaw to cut along the edge of the tray. What is the length of the cut encompassing the tray? Round to the nearest half foot.
Answer:
21.5 feet.
Step-by-step explanation:
Calculate the length of a curved edge.
s =
m
360
· 2πr Use the formula for arc length.
=
90
360
· 2π(3) Substitute 3 for r and 90 for m.
= 1.5π Simplify.
Let t be the length of the cut encompassing the tray.
t = 2 · 1.5π + 2 · 6
= 3π + 12 Simplify.
≈ 21.5 ft Use a calculator to evaluate. Then round your answer to the nearest half foot.
The length of the cut encompassing the tray is 21.5 feet.
Factor 24j-1624j−1624, j, minus, 16 to identify the equivalent expressions.
Choose 2 answers:
Choose 2 answers:
Answer:
8(3j-2) and 4(6j−4)
there you go!!
somebody please help im giving 20 points and a brainliest !
Answer:
y = 1500(1.079)^t
Step-by-step explanation:
Here, we want to write an exponential function
Mathematically, we have this generally as;
FV = IV( 1 + r)^t
where FV is future value which is y in this case
IV is the initial value which is 1,500 kn^2 in this case
r is the rate of change which is 7.9%
7.9/100 = 0.079
t is the time difference
so we have the equation as;
y = 1500(1 + 0.079)^t
y = 1500(1.079)^t
I will give brainiest to whoever answers correctly.
Answer:
x= 1.25 y = 1.75
Step-by-step explanation:
8/5 = 10/ (5+x)
Cross multiplucation
8(5+x) = 5x10
40 + 8x = 50
8x = 10
x = 1.25
8/7 = 10/ (7+y)
Cross multiplication
8(7+y) = 10x7
56+8y = 70
8y = 14
y = 1.75
What is another way of writing 5(6+3) using to distribute property
Answer:
The multiplication of 5(6) and 5(3) will each be done before you add.
5(6) + 5(3) = 30 + 15 = 45. Note that the answer is the same as before.
Step-by-step explanation:
hope this helps...
have a nice weekend ヽ(ヅ)ノ
oh and if i was supposed to follow something sorry cuz i can't see the pic...
Solve by factoring X^2-100=0
6. What percentage of the children in class 5 is a member of a sports club? 3
Result sports questionnaire
for: class 5
“Are you a member of a
sports club?
yes: 15
no:5”
Answer:
75%
Step-by-step explanation:
Let x be the percentage for sports club members.
x% of 20 = 15
x/100 x 20 = 15
x/5 = 15
x = 75
Some friends went hiking. The very top of the trail that was a total of 26 miles from town, where the friends began their journey. They drove 8 more miles and they walked on the trail. How far to the front walk? How far to the friends drive?
Please solve step-by-step
Answer: they drove 27 miles+ and walked 8 miles
Step-by-step explanation:
There are two mystery numbers. The sum of 2 times the first number and 5 times the second number is -5. The sum of 3 times the first number and 10 times the second number is -5. What are the two numbers?
Answer:
the two numbers are -5 and 1
Step-by-step explanation:
Let x and y be the first number and second number respectively.
According to the question, we can find 2 equations:
2x + 5y = -5
3x + 10y = -5
On solving,
x = -5
y = 1
Answer:
X=-5,Y=1
Step-by-step explanation:
First equation: 2X+5Y=-5
Second equation:3X+10Y=-5
If we subtract the first from the second equation
(3X+10Y)-(2X+5Y)= 0 so, X+5Y= 0
So X= -5Y .then substitute in the second equation
So ,3(-5Y)+10Y= -5 , therefore -15Y + 10Y=-5 so, -5Y=-5 which means that Y=1
Then substitute with that in the first equation so 2X+5= -5
2X= -10 therefore X=-5
Mr. and Mrs. Doran have a genetic history such that the probability that a child being born to them with a certain trait is 37%. If they have six children, what is the probability that at most one of their six children will have that trait? Round your answer to the nearest thousandth.
Answer:
Yes
Step-by-step explanation:
Answer:
Sum: 0.78619≈0.786
Step-by-step explanation:
n=4
r=1, 2, 3, 4
r=1,2,3,4
"At least" counts up.
p=32\%=0.32
p=32%=0.32
q=1-0.32=0.68
q=1−0.32=0.68
The chance a success does NOT occur.
_{n}C_{r}p^rq^{n-r}
The probability that at most one of their six children will have that trait is 0.68
How to determine the probability?From the question, the given parameters are
Number of children, n = 6
Probability of a child with the trait, p = 37%
The required probability that at most one will have that trait is represented as P(x ≤ 1)
This probability is calculated ;
P(x ≤ 1) = P(0) + P(1)
Where
P(x) = ⁿCₓ * pˣ (1 - p)ⁿ⁻ˣ
So, we have
P(x ≤ 1) = ⁷C₀ (37%)⁰ (1 - 37%)⁷⁻⁰ + ⁷C₁ (37%)¹ (1 - 37%)⁷⁻¹
Evaluate;
P(x ≤ 1) = ⁷C₀ * 1 * (63%)⁷ + ⁷C₁ * (37%) * (63%)⁶
So, we have;
P(x ≤ 1) = 1-0.32= 0.68
Hence, the probability is 0.68
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