Let's factor out
[tex]\\ \rm\Rrightarrow 64m^2-9n^2[/tex]
[tex]\\ \rm\Rrightarrow (8m)^2-(3n)^2[/tex]
Use the identity
(a+b)(a-b)=a^2-b^2[tex]\\ \rm\Rrightarrow (8m-3n)(8m+3n)[/tex]
Done
Natalie has a budget of $15,000 dollars to spend on tracking devices to study bison. A radio tracker costs $650 and a GPS tracker costs $1400. Natalie wants to buy at least 9 radio trackers and more than 3 GPS trackers. The following system of inequalities represents this situation, where x is the number of radio trackers and y is the number of GPS trackers. x ≥ 9 y > 3 650x + 1400y ≤ 15000
I think its Cheap GPS trackers can be purchased from stores such as Walmart or Target. They can also be purchased from electronics stores such as Best Buy.
Can someone please help me with this, I don't have much time!!!
Answer:
x=8.3 y=16.1
Step-by-step explanation:
87+12y+-7=180
29+9x+6=180
just add like terms then solve
please help someone dumb
Answer:
just look for a ratio to ration it out so it will be simple
Step-by-step explanation:
What is the answer?
Answer:
C
Step-by-step explanation:
Volume = 0.5 * Base * Height * Length
You have to multiply by 0.5 because it is a Triangular prism
base(b) = 4.1
Height (h) = 7.2
Length (l) = 3.5
Plug in the numbers to the equation below and you get 51.66
Hope this Helps! :)
An airplane travels at a speed of 582 miles per hour to reach its destination in 4 hours. Determine the duration of the flight, if the airplane travels at a speed of 388 miles per hour.
Answer: 6 Hours
Step-by-step explanation:
It takes 6 hours to reach the destination when traveling at 388 mph.
Speed is the ratio of total distance traveled to the total time taken It is given by:
Speed = distance/time
Given that it takes 4 hours to reach a destination when travelling at 582mph, hence the distance is:
582 = distance / 4
distance = 2328 miles
If travelling at 388 mph, the time is:
388 = 2328 / time
time = 6 hours
Hence it takes 6 hours to reach the destination when traveling at 388 mph.
Answer:
the answer is 6
Step-by-step explanation:
speed is the ratio of total distance traveled to the total time taken It is given by: speed = distance/time
given that it takes 4 hours to reach a destination when travelling at 582 mph, hence the distance is:
582 = distance / 4
distance = 2328 miles
if travelling at 388 mph, the time is:
388 = 2328 / time
time = 6 hours
If k(x) = 5x - 6, evaluate (k + k) (3).
As part of a survey, 75 people were asked to name their favorite sport. The results showed that 25 of the people named basketball as their favorite sport. What percentage of the people in the survey named basketball as their favorite sport?
Answer:
33.33 repeating
Step-by-step explanation:
because 75 divided by 25 is 3 so it is 1/3
Mia has 24 yards of ribbon. She gave 10 yards to her sister. Mia now wants to work on a project that requires 2 1/4 yards of ribbon per project. What is the greatest number of projects that Mia can complete with this ribbon?
Answer:
7.25
Step-by-step explanation:
What kind of triangle has sides that have length 4, 8, and 10? ( the triangle acute, right, or obtuse ?)
Answer:
acute because your a cutie
Step-by-step explanation:
A real estate agent believes that the value of houses in the neighborhood she works in has increased from last year. To test this claim, she selects random houses in this neighborhood and compares their estimated market value in the current year to their estimated market value in the previous year. Suppose that data were collected for a random sample of 8 houses, where each difference is calculated by subtracting the market value of the previous year from the market value of the current year. Assume that the values are normally distributed. The agent uses the alternative hypothesis Ha:μd>0. Using a test statistic of t≈7.496, which has 7 degrees of freedom, determine the range that contains the p-value.
Answer:
The range is [tex]-0.00007 < p-value < 0.00007[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 8
The null hypothesis is [tex]H_o : \mu_d = 0[/tex]
The alternative hypothesis is [tex]H_a : \mu_d > 0[/tex]
The test statistics is [tex]z \approx 7.496[/tex]
The degree of freedom is [tex]df = 7[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(Z > 7.496 )[/tex]
Generally from the t distribution table
(Reference -
danielsoper(dot)com(slash)statcalc(slash)calculator)
the value of [tex]P(Z > 7.496 )[/tex] at a degree of freedom 7 is
[tex]P(Z > 7.496 ) = t_{7.496 , 7 } =0.00007[/tex]
So the range that contains the p -value is
[tex]-0.00007 < p-value < 0.00007[/tex]
Solve for x. PLEASE HELP ME
Keisha collected a total of $ 108 selling cookies for her scout troop. If the cookies cost $4 per box, how many boxes did she sell?
Answer:
27
Step-by-step explanation:
108/4=27
PLS HELP WITH THIS QUESTION DONT UNDERSTAND
Answer:
x-int (-3, 0); y-int (3, 0)
Step-by-step explanation:
The x-intersect is where the points intersect the x-axis, while the y-intersect is where the points intersect the y-axis.
Helpppp!!!!!!! I will give brainliest and extra points!!! Be fast!!
:
Mary weighs n kg while her sister weighs 15 kg less. How many times is Mary heavier than her sister?
Answer:
n= 15
Step-by-step explanation:
128,955 round to the nearest ten thousand
Answer:
128,955 rounds to 130000 i believe
Step-by-step explanation:
1/3 times pi times three cubed times nine
Answer:
254.469004941
Step-by-step explanation:
Determine the Future Value (FV) of your account, after 2 years, if you invest $7580 in an account that pays a simple interest of 6%.
8489.6
Step-by-step explanation:We know that:
[tex]T=2\\ P=7580\\ R=6\ percent[/tex]
Substitute into formula
[tex]T=2\\ P=7580\ into\ formula\\ R=6\ percent\\ F=P+prt\\ F=7580+7580rt[/tex]
Calculate
[tex]7580\times(1+0.06\times2)[/tex]
Calculate the product or quotient
[tex]7580\times(1+0.12)[/tex]
Calculate the sum or difference
[tex]7580\times1.12[/tex]
Calculate the product or quotient
[tex]8489.6[/tex]
I hope this helps you
:)
which of the following should not be used as a guideline for making a purchase
A. you budgeted for it
b. you can afford it
c. you need it
d. you want it
Answer: d.) You want it
Step-by-step explanation:
People want a lot of things that they don't really need, can't afford, and haven't budgeted for.
That how they build debt that may take years to pay off!
Answer:
Which of the following should not be used as a guideline for making a purchase?
a. ) You budgeted for it.
b. ) You can afford it.
c.) You need it.
d. ) You want it. <<<---CorrectStep-by-step explanation:
Edge 2021
Find the value of each of the following.Increase 60 by 35 percent
Answer:
the new value is 81.
Step-by-step explanation:
Answer:
81
Step-by-step explanation: its kind of hard to explain but thats the answer:)
What is the result when the number 43 is decreased by 2.6%?
Answer:
41.882
Step-by-step explanation:
43 x 2.6% is 1.118, and when you subtract that from 43, you get 41.882.
Answer:
41.882
Step-by-step explanation:
43*97.4% = 41.882
Suppose y varies directly as x, and y=8 when x=2 find when x=21
Mark has $16 more than Becca. Represent how much money Mark has
Answer:
ok so.... how much does money Becca have? however much that is add 16 to it and that should be the amount of money mark has.
Step-by-step explanation:
Did I graph this correctly?
Answer:
no you did not graph it correctly
Step-by-step explanation:
put the line straight down 4 on the right side
If y = 20 inches, z = 21 inches, and h = 11 inches, what is the area of the object?
Answer:
1742 inches squared
Step-by-step explanation:
Surface Area = 2×(20×21 + 20×11 + 21×11) = 1742 inches2
A congressional committee of 2 Republicans and 2 Democrats is to be formed. How many ways can the committee be formed if there are 11 Republicans and 9 Democrats to select from?
maybe you have to do 2*11 and 2*9
least common denominator
-7/x and-5/6x^2
Answer:
6x^2
Step-by-step explanation:
The LCD of x and 6x^2 is 6x^2
x2 − 15x = −50 A) x = 3, x = 5 B) x = 5, x = 10 C) x = 3, x = −5 D) x = −5, x = −10
Answer:
x = 10 or x = 5 thus: B is the answer
Step-by-step explanation:
Solve for x over the real numbers:
x^2 - 15 x = -50
Add 225/4 to both sides:
x^2 - 15 x + 225/4 = 25/4
Write the left-hand side as a square:
(x - 15/2)^2 = 25/4
Take the square root of both sides:
x - 15/2 = 5/2 or x - 15/2 = -5/2
Add 15/2 to both sides:
x = 10 or x - 15/2 = -5/2
Add 15/2 to both sides:
Answer: x = 10 or x = 5
You are making gluten-free baked goods for a bake sale. One type of gluten-free flour costs $7 for a 3-pound bag. You can spend at most $28. Let n be the number of 3-pound bags of gluten-free flour you can buy. Write an inequality that represents the situation.
Answer:
Step-by-step explanation:
The answer to your question is 7n ≤ 28
Data
Cost of 1 bag = $7
The maximum amount of money spent = $28
n = number of 3-pound bags
Process
- We know that the amount spent must be at most = $28, so we use the symbol ≤.
- The money spend is the price of one bag times the number of bags bought.
- Then the inequality is
7n ≤ 28
can someone please help me
Answer: X=6 AB= 52
Step-by-step explanation:
7x + 10 = 9x -2 (because the sides are equal) & solve.
subtract the 7x on both sides.
10 = 2x -2
add 2 on both sides
12 = 2x
divide by 2
x = 6
Answer:
x = 4
AB = 52
Step-by-step explanation:
The dashes on the line segments AB and BD mean that they are equal in length.
⇒ 7x + 10 = 9x - 2
Add 2 to both sides:
⇒ 7x + 10 + 2 = 9x - 2 + 2
⇒ 7x + 12 = 9x
Subtract 7x from both sides:
⇒ 7x + 12 - 7x = 9x - 7x
⇒ 12 = 2x
Divide both sides by 2:
⇒ 12 ÷ 2 = 2x ÷ 2
⇒ 6 = x
⇒ x = 6
Substitute x=6 into the expression for AB to find the length of AB:
⇒ AB = 7(6) + 10
⇒ AB = 42 + 10
⇒ AB = 52
8. A cent is 0.01 of a dollar
Answer:
Yes
Step-by-step explanation:
A dollar = 100 cents
1 cent : 100 cents
= 1/100
= 0.01