Answer: A quarter turn
Step-by-step explanation:
A pre-paid cell phone company charges $19.5 as a monthly access fee and $0.16 per minute of calling time.
Express the monthly cost C in terms of minutes of call time.
What will the monthly cost be if you make 367 minutes of calls this month? $
The monthly cost C expressed in terms of minutes of call is: C=19.5+0.16x
The monthly cost if you make 367 minutes of call is $78.22
How the monthly cost modeled?
The monthly cost is modeled using the straight-line equation which comprises of the monthly access fee, which is the fixed charge and the variable charge per minute of $0.16
C=19.5+0.16x
x is the number of minutes of call time
monthly cost when x is 367 minutes
monthly cost=19.5+(0.16*367)
monthly cost=19.5+58.72
monthly cost=$78.22
Find out more about monthly cost on:https://brainly.com/question/17217473
#SPJ1
2. Three times the sum of a number and 4 is 21
less than the number times 6. Find the number
Answer:
11
Step-by-step explanation:
Given two expressions involving the same unknown number, you want to find the number.
Setup3(x +4) . . . . three times the sum of a number and 4
6x -21 . . . . 21 less than the number times 6
These two expressions have the same value, so we can write the equation ...
3(x +4) = 6x -21
SolutionEliminating parentheses, we have ...
3x +12 = 6x -21
33 = 3x . . . . . . . . add 21-3x
11 = x . . . . . . . . . divide by 3
The number is 11.
find the nth term of a sequence for 1,7.13,19
Answer:
6n - 5
Step-by-step explanation:
We find the jump between every 2 terms :
7 - 1 = 6
13 - 7 = 6
19 - 13 = 6
Now we know this will be the co-efficient of n and the 0th term will be added to the term :
1 - 6 = -5
So our final answer will be 6n + (- 5 ) = 6n - 5
Hope this helped and have a good day
James said that he would need 25 red beads to make 75 bracelets. Is he correct? How did he get that answer?
Answer:
He is wrong.
Step-by-step explanation:
Usually a bracelet has at least 5 beads, so with 25 beads the maximum is 5 bracelet.
-7 ≤ g + 8 + 2g ≤ 2
Simplify
2
g
−
(
8
−
g
)
.
Tap for more steps...
3
g
−
8
=
7
g
−
10
Move all terms containing
g
to the left side of the equation.
Tap for more steps...
−
4
g
−
8
=
−
10
Move all terms not containing
g
to the right side of the equation.
Tap for more steps...
−
4
g
=
−
2
Divide each term in
−
4
g
=
−
2
by
−
4
and simplify.
Tap for more steps...
g
=
1
2
The result can be shown in multiple forms.
Exact Form:
g
=
1
2
Decimal Form:
g
=
0.5
Calculate the product of given fractions. Write your answer in lowest terms.
3/4 X 9/15.
Answer:
[tex] \frac{9}{20} [/tex]
Step-by-step explanation:
[tex] \frac{3}{4} \times \frac{9}{15} [/tex]
The denominator 15 will be divided by the numerator 3 giving :
[tex] \frac{1}{4} \times \frac{9}{5} \\ = \frac{1 \times 9}{4 \times 5} [/tex]
Final answer:
[tex] \frac{9}{20} \: or \: 0.45[/tex]
A couch and coffee table cost a total of 1212 . The cost of the couch is two times the cost of the coffee table. Find the cost of each item.
Answer:
x + 2x = 1161
3x = 1161
x = 1161/3 = 387
2x = 2(387) = 774
cost of coffee table: $387
cost of couch: $774
Step-by-step explanation:
The integer 5 makes which of the following equations false?
A: 3m + 4 = 6m
B: −5(t − 7) = 10
C: 17 = 4x − 3
D: t + 9 = 14
Answer:
a) 3m + 4 = 6m is false.
Step-by-step explanation:
A) 3m + 4 = 6m
→ 3(6) + 4 = 6(5)
→ 18 + 4 = 30
→ [ 22 ≠ 30 ]
So, the equation is false.
B) -5(t - 7) = 10
→ -5(5 - 7) = 10
→ -5 × -2 = 10
→ [ 10 = 10 ]
So, the equation is true.
C) 17 = 4x - 3
→ 17 = 4(5) - 3
→ 17 = 20 - 3
→ [ 17 = 17 ]
So, the equation is true.
D) t + 9 = 14
→ 5 + 9 = 14
→ [ 14 = 14 ]
So, the equation is true.
Tim earns $18 cleaning a home. How many homes did he clean, if he made 90 dollars?
Answer:
[tex]x = 5[/tex]
Step-by-step explanation:
From the given:
$18 ——→ 1 home
$90 ——→ x home
Cross multiply the above and make x the subject of formula.
[tex]18x = 90[/tex]
Now, divide both sides by 18 to find the value of x.
[tex] \frac{18x}{18} = \frac{90}{18} [/tex]
Therefore:
Tim made $90 from cleaning 5 homes.
Solve (x - 5)² = 3.
O A. x = 8 and x = −2
OB. x=5± √3
OC. x = 3+√5
O D. x=-5±√√3³
Answer:
B. x=5±√3
Step-by-step explanation:
Let's solve your equation step-by-step.
(x−5)²=3
Step 1: Simplify both sides of the equation.
x²−10x+25=3
Step 2: Subtract 3 from both sides.
x²−10x+25−3=3−3
x²−10x+22=0
For this equation: a=1, b=-10, c=22
1x²+−10x+22=0
Step 3: Use quadratic formula with a=1, b=-10, c=22.
x=−b±√b²−4ac/2a
x=−(−10)±√(−10)²−4(1)(22)/2(1)
x=10±√12/2
x=5+√3 or x=5−√3
Determine whether C_ ,C , both or neither can be replaced in the blank to make the statement true
Answer:
I don't understand what you're trying to ask?
Step-by-step explanation:
Which of the following represents an INEFFICIENT point of production?
a. Point A
b. Point B
c. Point D
d. None
e. Point C
The point that represents an INEFFICIENT point of production is point A.
The correct answer is an option (a)
In this question we have been given a graph of Skateboards vs. Bikes.
We need to find the point that represents an INEFFICIENT point of production.
Inefficient production means the economy can be producing more goods without using any additional resources.
In given production possibility curve, an INEFFICIENT point of production is point A.
Therefore, the point that represents an INEFFICIENT point of production is point A.
The correct answer is an option (a)
Learn more about the inefficient point of production here:
https://brainly.com/question/13184928
#SPJ1
A water park has pools, slides, and rides that, in total, make use of 6.9 × 105 gallons
of water. They plan to add a ride that would make use of an additional 85, 000
gallons of water. Use scientific notation to express the total gallons of water made use
of in the park after the new ride is installed.
Answer:
x10 gallons
Answer:
x10 gallons
Step-by-step explanation:
you said it
=. Given function f(x)=x² − 3x+2, find f(x+h)-f(x) over
h
and simplify could someone please help on this ? Thanks !
which is true about the degree of the sum and diffrence of the polynomials 3x^5y-2x^3y^4-7xy^3 and -8x^5y+2x^3y^4+xy^3?
The degree of the sum of the polynomials is 6 while the degree of the difference of the polynomial is 7.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A polynomial's degree is the highest exponent of a variable in a polynomial equation.
Given the polynomial 3x⁵y - 2x³y⁴ - 7xy³ and -8x⁵y + 2x³y⁴ + xy³
The sum of the polynomials = (3x⁵y - 2x³y⁴ - 7xy³) + (-8x⁵y + 2x³y⁴ + xy³) = -5x⁵y - 6xy³
The difference of the polynomials = (3x⁵y - 2x³y⁴ - 7xy³) - (-8x⁵y + 2x³y⁴ + xy³) = 11x⁵y - 4x³y⁴ - 8xy³
The degree of the sum of the polynomials is 6 while the degree of the difference of the polynomial is 7.
Find out more on equation at: https://brainly.com/question/13763238
#SPJ1
The scale of a map is 1:500 000.
The area of a lake on the map is 12cm".
Calculate the actual area of the lake in km?.
The scale of a map is 1:500 000. The actual area of the lake in km is 3x10¹² km².
What is meant by the scaling on the map?The ratio between a distance on a map and its actual distance on the ground is known as the map's scale. Since scale must vary throughout a map due to the curvature of the Earth's surface, this straightforward idea is made more difficult.
• If 1 centimeter on a map corresponds to 500 000 km on the earth, then 1 cm2 would be equivalent to 1 cm² = (500000km) 2
=25×10¹⁰ km²
• The lake's exact area may now be determined by multiplying 12 cm² by 25 × 10¹⁰ km² (3 × 10¹² km²)
As a result, the distance between the towns is 0.000344 cm on the map, while the lake's real area is 3x10¹² km².
To learn more about scaling on the map from given link
https://brainly.com/question/569190
#SPJ1
help please i need help i will give crowns
Answer:40 carrots
Step-by-step explanation:
2x8=16 and there's 16 so there for 5x8=40
hope this helps :)
The football cheerleaders consist of 16 members. The cheerleading coach places the cheerleaders in rows. Each row has the same number of members. Find the possible row arrangements. What is the answer?
The possible row arrangements for the football cheerleaders are (4×4) or (8×2).
What is termed as factorization?When you factorize a number, you divide it into smaller numbers that, when multiplied together, offer you the original number. Factorization occurs when you divide a number in with its factors or divisors. For example, the factorization of a number 12 could be 3 times 4.For the given expression.
The total of football cheerleaders = 16.
Each row consists of same number of cheerleaders.
For, this find the factors of 16;
16 = 2×2×2×2
The possible combinations for getting 16 is;
either (4×4) and (8×2).
This can be written as;
There are four rows such that each row contains 4 cheerleaders;
4×4 = 16
Or, they could be arranged as 2 rows with 8 cheerleaders or 8 rows with 2 cheerleaders in each, both are correct.
This can be written as two rows of 8; 8×2 = 16
To know more about factorization, here
https://brainly.com/question/25829061
#SPJ9
The teeth on this key are busted.
Now they must be readjusted.
The code is CSHDG.
what is factorization?when you break a number down into smaller numbers that, multiplied together, give you that original number.
Given:
G: x² +2x -8 / 2x³ -24x² +64x
=(x+10)(x-8)/ 2x(x-4)(x-8)
=x+ 10/ 2x(x-4)
D: 6x³ + 42x²/2x² + 26x +84
=6x²(x+7)/2(x+7)(x+6)
=3x²/(x+6)
C: x³ -x²-42x/2x² -20x + 42
=x(x-7)(x+6)/(x-3)(x-7)
x(x+6)/(x-3)
S:2x² -10x +48 /8x+ 64
=2(x+8)(x-3)/8(x+8)
H: 3x² -39x + 90/ x²-3x-90
=3 (x-3)(x-10)/(x+7)(x-10)
=3(x-3)/(x+7)
Hence, the matching code is CSHDG.
Learn more more about factorization here:
https://brainly.com/question/20293447
#SPJ1
The complete question is attached below.
Graph y = x² + 1 by plotting the points for x = -1,0, 1 and drawing the curve.
Provide your answer below:
Answer: The points are
(-1,2)
(0,1)
(1,2)
The graph is below
=========================================================
Explanation:
The idea is to replace x with the values mentioned (one at a time) and find the paired y value
For example, if x = -1, then...
y = x² + 1
y = (-1)² + 1
y = 1 + 1
y = 2
So (-1,2) is one point on the parabola. Follow similar steps to find the other points (0,1) and (1,2)
I used GeoGebra to make the graph shown below.
Could someone please explain this to me step-by-step?
[tex]( \frac{6d}{d {}^{4} } ) {}^{ - 2} \\ [/tex]
Take the reciprocal of the inside to get rid of the negative exponent.
note: reciprocal=flip it over
[tex]( \frac{6d}{d {}^{4} } ) {}^{ - 2} = ( \frac{d {}^{4} }{6d} ) {}^{2} \\ [/tex]
Step 2Before we continue we can notice that the inside is reducible since we have d's in the numerator and the denominator.
note: d=d^1
Using the Law of Exponents:[tex] \frac{a {}^{m} }{a {}^{n} } = a {}^{m - n} \\ [/tex]
[tex]( \frac{d {}^{4} }{6d} ) {}^{2} =( \frac{1}{6} \times \frac{d {}^{4} }{d}) = ( \frac{d {}^{4 - 1} }{6} ) {}^{2} = ( \frac{d {}^{3} }{6} ) {}^{2} \\ [/tex]
Step 3[tex]note \: that \\ ( \frac{ \omega}{ \eta} ) {}^{x} = \frac{ \omega {}^{x} }{ \eta {}^{x} } [/tex]
[tex]( \frac{d {}^{3} }{6} ) {}^{2} = \frac{(d {}^{3}) {}^{2} }{6 {}^{2} } = \frac{d {}^{3 \times 2} }{36} = \frac{d {}^{6} }{36} \\ [/tex]
What is the classification for this polynomial?.
-3m²n²
you factor the problem,
your answer:
-1x3xmxmxnxn
Can you come up with two variables that are related in your view and determine which variable is the dependent variable and which one is the independent variable?
One example can be:
"Amount of sugar that you put in your coffee and the calories of that coffee."
Where:
independent variable = amount of sugar.dependent variable = amount of calories.How to identify two related variables?
Any two quantities that are related in any way are related variables.
Some examples are:
Time driving your car at constant speed and the distance that you travel in that time. Time that you put food in the oven and the temperature of the food when you take it out.Amount of sugar that you put in your coffee and the calories of that coffee.etc...
The independent variable is the one that we can control, and the dependent variable is the one that changes in response to the independent one.
In the last example, the independent variable is the amount of sugar that you put in your coffee because you decide how many spoons you want.
And the dependent variable is the amount of calories in that coffee, that will depend on how much sugar you put there.
If you want to learn more about variables:
https://brainly.com/question/25223322
#SPJ1
In September 2016, the cost of gasoline in Berlin was around 1.29 euros per liter. What would the equivalent cost be in U.S. dollars per gallon? 1 U.S. dollar ≈ 0.896 euros 1 gallon ≈ 3.785 liters
Answer:
3.89
Step-by-step explanation:
What company has the absolute advantage when it comes to producing phones?
a. Gonzalez and Bros. Inc
b. The G company Inc
c. they both do
d. neither
(Option a) Gonzalez and Bros . Inc has the absolute advantage when it comes to producing phones.
Absolute advantage theory
Adam Smith, an economist from the 18th century, introduced the idea of absolute advantage in his book The Wealth of Nations to explain how nations might profit from trade by specializing in producing and exporting the things that they can manufacture more successfully than other nations.
On the other hand, low-cost manufactured items are produced and exported by China, Thailand, and Vietnam. These three nations enjoy a distinct advantage as a result of their significantly reduced unit labor costs.
Here, option a Gonzales and Bros. Inc has the absolute advantage when it comes to producing phones.
Learn more about absolute advantage here:
brainly.com/question/13221821
#SPJ1
Graph the function f(x)=-x^ 2+2
Answer:
just plot it nicely
Step-by-step explanation:
hope this help
What is a scale factor
Answer:
Scale factor is a ratio between an object and a new object, which is said to be the same object but in a new size or form.
How you solve this? This is chemistry 127
Find the missing side length.
Assume that all intersecting sides meet at right angles.
Be sure to include the correct unit in your answer.
?
10 cm
6 cm
11 cm
5 cm
14 cm
Answer:
4 cm
Step-by-step explanation:
14 - 10 = 4
4cm
Step-by-step explanation:
10-14=4 hope it helps
use the product rule to simplify the following expression
13
√x
We have been provided with this exponential equation y= 13√x + 13√[tex]x^{7}[/tex]
The product rule for solving the exponential powers is [tex]x^{n}[/tex] × [tex]x^{m}[/tex]= [tex]x^{n+m}[/tex]
, which means if the base is same and the variables are multiplied then the powers of the bases get added.
By using the product rule in the given exponential problem, it can be written as:
y = 13 √x ×√[tex]x^{7}[/tex]
y =13 √[tex]x^{1+7}[/tex]
y =13 √[tex]x^{8}[/tex]
Roots means the power of the base is half
y =13 [tex]x^{4}[/tex]
Correct question is Use the product rule to simplify the following expression
y= 13√x + 13√[tex]x^{7}[/tex]
To know more about exponential equation - https://brainly.com/question/23729449?referrer=searchResults
#SPJ9
