Answer:
15,625
Step-by-step explanation:
5×5×5×5×5×5 = 15,625
The table shows the number of cell phone towers a
company will build as the number of its customers
increases. Complete a and b below.
Cell Phone Towers
Customers (thousands) Towers
5.25
273
6.25
325
7.25
377
9.25
481
a. Is the relationship between number of towers and number of customers proportional? Explain.
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
OA. No. The ratios of towers to customers are not all equivalent.
B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of
Answer:
The correct option is;
B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of 52 Towers/(Thousand customers)
Step-by-step explanation:
The given data can be presented as follows;
Cell Phone Towers
Customer (thousands) [tex]{}[/tex] Towers
1) 5.25 [tex]{}[/tex] 273
2) 6.25 [tex]{}[/tex] 325
3) 7.25 [tex]{}[/tex] 377
4) 9.25 [tex]{}[/tex] 481
From the given data, we have the ratio Towers/Customer (thousands) given as follows;
For 1), we have;
273 Towers/(5.25 thousands customers) = 52 Towers/(Thousand customer)
For 2), we have;
325 Towers/(6.25 thousands customers) = 52 Towers/(Thousand customer)
For 3), we have;
377 Towers/(7.25 thousands customers) = 52 Towers/(Thousand customer)
For 4), we have;
481 Towers/(9.25 thousands customers) = 52 Towers/(Thousand customer)
Therefore, the ratios of towers to customers (thousands) all have the same equivalent unit rate of 52 Towers/(thousand customers).
Write the system of equations that best represent this graph in any form and find the
solution.
Answer:
Step-by-step explanation:
Each system is written in slope intercept form which is
y = mx + b
m is the slope and b is the y intercept.
The one for the green line is
y = x + 4
The red line is
y = x + 2
Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
-5
-4
-3
-2
+
4
-1
0
+
5
1
2
3
-5
-4
-3
-2
-1
+
1
+
2
0
3
4
5
+
-5
-4
-3
-2
-1
+
1
+
2
+
3
+
4
O
5
o
-5
-4
-3
-2
+
1
-1
0
2
2
3
3
4
st
5
Answer:
Option 2 is correct .
Step-by-step explanation:
A inequality is given to us , and we need to find the solution set for it. The given inequality is :-
⇒ 3(8 - 4x) < 6(x - 5)
⇒ 24 - 12x < 6x - 30
⇒ 24 +30 < 6x + 12x
⇒ 54 < 18x
⇒ x > 54/18
⇒ x > 3
This means that x can have all values Greater than 3 . Hence x can have all real numbers greater than 3 . Hence the Solution set will be x ∈ ( 3, ∞ ) . From the number lines given in the option second option is correct .
The solution set is x ∈ ( 3 , ∞ ) .And the second option is correct.I have also attached the graph . The red area shows the possible values of x.
The solution is : Option 2 is correct .
What is inequality?An inequality is a relation which makes a non-equal comparison between two numbers or mathematical expressions.
here, we have,
A inequality is given to us , and we need to find the solution set for it. The given inequality is :-
⇒ 3(8 - 4x) < 6(x - 5)
⇒ 24 - 12x < 6x - 30
⇒ 24 +30 < 6x + 12x
⇒ 54 < 18x
⇒ x > 54/18
⇒ x > 3
This means that x can have all values Greater than 3 . Hence x can have all real numbers greater than 3 .
Hence the Solution set will be x ∈ ( 3, ∞ ) . From the number lines given in the option second option is correct .
The solution set is x ∈ ( 3 , ∞ ) .And the second option is correct.
Here, attached the graph . The red area shows the possible values of x.
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Which algebraic expression could represent the phrase below
Answer:
B: n - 5
Step-by-step explanation:
It said a number n, which is a variable.
Decreased means subtracting by 5.
So the answer would be: n - 5
1/2x + 7 =
Plz help to know the answer to this plz
Answer: For multiplying is 3.5 and for adding is 7.5
Step-by-step explanation: because if you do 1/2 + 7 all you have to do is add the 7/1 and you would add it but if its multiplying your asking it would be 3.5
Anthony Tedesco sold his used mountain bike and accessories for $132. If he received 5 times as much money for the bike as he did for the accessories, find how much money he received for the bike.
Answer:
Amount he sold used mountain bike = $110
Amount he sold his used accessories = $22
Step-by-step explanation:
Amount he sold used mountain bike = x
Amount he sold his used accessories = y
Total amount = $132
If he received 5 times as much money for the bike as he did for the accessories
x = 5y
Total = mountain bike + accessories
132 = x + y
.
132 = 5y + y
132 = 6y
y = 132 / 6
= $22
y = $22
x = 5y
= 5 × 22
= 110
x = $110
x = $110; y = $22
Ahmed collects x kilograms of recycling. Kimaya collects 2/5 more than that. Write an equation that describes the relationship between the two quantities.
Answer: y=2/5x
Step-by-step explanation:
Y times x 2/5 which would be the answer
The equation that describes Ahmed collects x kilograms of recycling and Kimaya collects 2/5 more than that is {x + (2/5)x} kilograms.
What is a fraction?A fraction is written in the form of p/q, where q ≠ 0.
Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.
Given, Ahmed collects x kilograms of recycling and Kimaya collects 2/5 more than that.
∴ The equation that describes this scenario is,
= {x + (2/5)x}.
= (5x + 2)/5 kilograms.
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5 workers can repair the road in 9 hours. How long will it take 3
workers to do the same repairs? hours
Need just the answr please
Answer:
need to work out how long it would take 1 person first.
9 X 5 = 45
1 person will take 45 hours
45/3= 15 hours
Plz help will give brainest
Answer:
3
Step-by-step explanation:
Area of a triangle equals bh/2. Therefore, the base which is 5.25 *3 = 15.75. 15.75/2 = 7 and 7/8.
which set of numbers could be the size lengths of a right triangle
Answer:
a
Step-by-step explanation:
3x4=12
12/2=6
3,4,6
Just help with the question ignore everything below
Answer:$1.50 or a dollar and 50 cents
Step-by-step explanation:pls mark me brainliest
Answer:
$1.5 per container
Step-by-step explanation:
First, subtract the cost of the chips from the total purchase cost. This equals 4.5. Then, divide 4.5 by 3 to find the cost of each individual container of milk. You get 1.5. This means that each container was $1.50. Hope this helps :)
Determine whether lines L and m are parallel. Explain your reasoning.
Answer:
Parallel
Step-by-step explanation:
Since, exterior Alternate angles are congruent.
PLEASE HELP
The figure shows a 12ft by 15ft rectangle divided into four rectangular parts. EXPLAIN whether the rectangles in each pair are similar.
13. rectangle A and the original rectangle
14. rectangle C and rectangle B
15. the original rectangle and rectangle D
Answer:
3ft
Step-by-step explanation:
Rectangle C is not similar to rectangle B. The measures of the corresponding angles are equal and the corresponding side lengths are not proportional.
can somebody please help me with question number 2 ?
Answer:
75 Degrees
Step-by-step explanation:
We know that all the angles of a triangle add up to 180.
We also know the each angle of triangle DEF in terms of variables
All we have to do is add the 3 angles which equal a total of 180 Degrees.
Angle D+E+F = 180 Degrees
(5+x) + (6+4x) + (4x) = 180
9x + 11 = 180
9x = 169
x = 18.8 Degrees
Angle F is 4x so it is 4(18.8) = 75 Degrees
This is what i got, I"m not sure what else im supposed to solve for. The multiple choice doesnt make sense.
Who walks faster if hichman walks 84 feet in 7 seconds or Brittany who walks 110 feet in 20 Second
Answer:
Hichman will walk faster.
Step-by-step explanation:
Hichman walks 84 feet in 7 seconds and Brittany walks 110 feet in 20 Second.
We need to say who walks faster.
For Hichman,
Distance, d = 84 feet and time, t = 7 s
Speed,
[tex]v_H=\dfrac{d}{t}\\\\v_H=\dfrac{84}{7}\\\\=12\ ft/s[/tex]
For Brittany,
Distance, d = 110 feet and time, t = 20 s
Speed,
[tex]v_B=\dfrac{d}{t}\\\\v_B=\dfrac{110}{20}\\\\=5.5\ ft/s[/tex]
It can be seen that speed of Hichman is 12 ft/s and the speed of Brittany is 5.5 ft/s. It is clear that the speed of Hichman is more than that of Brittany. Hence, Hichman will walk faster.
simplify please
(if you cant read my handwriting then here 9y-2(5y-2)+1)
Answer:
-y + 5
Step-by-step explanation:
9y - 2(5y - 2) + 1 = 9y - 10y + 4 + 1
= -y + 5
Answer:
-y+5
Step-by-step explanation:
9y-2(5y-2)+1
=9y-10y+4+1
=-y+5
A water hose had filled up 1
⁄3
of a pool after 1
⁄5
of an hour. At this rate, how
many hours would it take to fill the pool?
Answer:
3 theirs out of 5
Step-by-step explanation:
I'm pretty surep
Please answer please please answer
Big Jim's Pencil Shop can manufacture 240 pencils in 10 minutes. At this rate, how many pencils can Big Jim's Pencil Shop produce in 30 minutes?
Answer:
720
Step-by-step explanation:
240 x 3 = 720 pencils
Answer:
answer is 720 I hope it's helps you
What is the value of y?
Enter your answer in the box.
Round your final answer to the nearest whole number.
Answer:
I hope this helps! The answer is 9. I solved this by using “sin” to find y.
Step-by-step explanation:
picture help meeee pleaseeeeeeeee
Answer:
first three terms are 3, 6, 9 and the 10th one is 30
Step-by-step explanation:
Answer:
3, 12, 27 and 300
Step-by-step explanation:
To find the first 3 terms, substitute n = 1, 2, 3 into the n th term formula
3(1)² = 3 × 1 = 3
3(2)² = 3 × 4 = 12
3(3)² = 3 × 9 = 27
The first 3 terms are 3, 12, 27
Substitute n = 10 into formula for 10 th term
3(10)² = 3 × 100 = 300
Willow has 3/4 of a gallon of milk left that has an expiration date in 6 days. If she splits the milk equally among her next 6 bowls of cereal, how much milk will she use in each bowl
Answer:
[tex]\dfrac{1}{8}\ \text{gallons}[/tex]
Step-by-step explanation:
Amount of milk remaining is [tex]\dfrac{3}{4}\ \text{gallons}[/tex]
Number of bowls is [tex]6[/tex].
So, each bowl will contain
[tex]\dfrac{\dfrac{3}{4}}{6}[/tex]
[tex]=\dfrac{3}{4}\times \dfrac{1}{6}[/tex]
[tex]=\dfrac{3}{24}[/tex]
[tex]=\dfrac{1}{8}\ \text{gallons}[/tex]
Hence, each bowl will have [tex]\dfrac{1}{8}\ \text{gallons}[/tex] of milk.
Tom went bowling with $27 to spend. He rented shoes for $5.75 and paid $4.25 for each game.
what is the equation of the blue line?
The answer y = 3x-7 / y = 3(x-4)+5 is wrong
Answer:
y = 4x -3
Step-by-step explanation:
Here, we want to get the equation of the blue line
As we can see, the y-intercept is -3
So we have the equation as;
y = mx -3
To get the value of m which is the slope , we check for any point on the line
That would be;
(1,1)
Let us have this substituted;
1 = m(1) - 3
1 = m -3
m = 1 + 3
m = 4
so the equation of the straight line is;
y = 4x -3
What is the slope of the line?
Answer:
-2/3
Step-by-step explanation:
Visibly we can see the line passes through (0,3) and (3,1)
The equation for slope is [tex]\frac{y_{1}-y_{2}}{x_{1}-x_{2}} = \frac{3-1}{0-3}= \frac{-2}{3}[/tex]
I hope this helps! :)
Answer:
Slope = -2/3
Step-by-step explanation:
Rise over run, pick one point of intersection
Go up 2, go to the left until you reach another point of intersection, which is 3 units.
3 1/3+(-2 1/4)+1 5/6
ONG PLS HELP WITH THIS ILL GIVE BRAINLIEST
Answer:
B
Step-by-step explanation:
The slope(m) is 2 because every time it goes left, it goes up by 2.
The y-intercept(b) is -1 because the line crosses the y-axis at (0, -1)
m=2, b=-1
What makes headlines? (Geojoke answer) (this is for trigonometric ratios)
Answer:
Corduroy Pillow
Step-by-step explanation:
Corduroy is a fabric which makes a cord pattern, and if added to a pillow will make "head lines".
Express 18^1/3 in simplest radical form
Answer:
Step-by-step explanation:
18^1/3
=18/3
18/3=6
Answer- 6
Answer:
[tex] \sqrt[3]{18} [/tex]
Step-by-step explanation:
[tex]a^{\frac{1}{n}} = \sqrt[n]{a}[/tex]
[tex] 18^{\frac{1}{3}} = \sqrt[3]{18} [/tex]
George wants to invest $3,250. American Bank offers a simple interest rate of 4%, while Liberty Savings offers an interest rate of 3.75% compounded annually. How much more in interest will George earn after 8 years if he invests with Liberty Savings rather than American Bank? $4,363.03
Answer:
$4,363.03
i hope i actually get this right because im doing a test right now in math class
Using the interest formulas, it is found that George will earn $158 more in interest if he invests with Liberty Savings rather than American Bank.
Simple Interest:
[tex]E = Pit[/tex]
In which:
P is the principal, which is the amount invested.i is the interest rate, as a decimal.t is the time, in years.For American Bank, we have that [tex]P = 3250, r = 0.04, t = 8[/tex], hence:
[tex]E = Pit = 3250(0.04)(8) = 1040[/tex]
Compound interest:
[tex]E = P[(1 + r)^t - 1][/tex]
For Liberty Savings, we have that [tex]r = 0.0375[/tex], hence:
[tex]E = P[(1 + r)^t - 1] = 3250[(1.04)^8 - 1] = 1198[/tex]
1198 - 1040 = 158.
He will earn $158 more in interest if he invests with Liberty Savings rather than American Bank.
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