Answer:
260 text
Step-by-step explanation:
First you're gonna want to subtract 17.50 form 56.50 and get 39.00 left over for text messages.
dividing 39 by .15 ([tex]\frac{39}{0.15}[/tex]) gives you 260
he can send 260 text per billing period
Answer:
She can sen a MAXIMUM of 260 texts
Step-by-step explanation
so lets start with the info we know
Her limit - $56.50
a flat rate (constant) - $17.50
and how much is cost PER text - $0.15
so we can make an inequality
56.50 ≤ .15x + 17.50
first, we would take away the constant
56.50-17.50 = 39
39 ≤ .15x
divide by .15
39/.15
leaving us with
260≤ X
Simplify the following rational expression
Answer:
= 5 (-2y+3) / -y+3
Step-by-step explanation:
If you need more help, you can look at this website called "symbolab".
There is a spinner with 11 equal areas, numbered 1 through 11. If the spinner is spun one time, what is the probability that the result is a multiple of 3 or a multiple of 2?
Answer:
result if 3 would be 3 I think I hope it helps have a good day
Answer:
7/11
Step-by-step explanation:
Eugene spent $6 on a magazine and some candy bars. If the magazine
cost $2 and each candy bar cost $2, then how many candy bars did he
buy?
Type an equation for the following pattern
Answer:
y = x + 2
Step-by-step explanation:
It looks like its adding 2 everytime.
y = x + 2
{y = x - 4
{Y = 6x - 10
Answer:
x = 6/5
y = -14/5
Step-by-step explanation:
y = x -4
y - x = -4
y = 6x -10
y - 6x = -10
y - x = -4
y - 6x = -10
_________--
5x = 6
x = 6/5
y - x = -4 | ×6 |
y - 6x = -10 | ×1 |
6y - 6x = -24
y - 6x = -10
__________--
5y = -14
y = -14/5
Find the percent increase. Round to the nearest percent. From 97 books to 120 books
Answer:
It's a 19 percent increase.
Step-by-step explanation:
Divide 97/120, then multiply it by 100. After that, you can subtract the answer by 100. The answer will be negative, so make it positive.
I need help! Idk what the answer is.
BRAINLIEST AWARDED TO FIRST CORRECT ANSWER NEED ASAP! AND 20 POINTS!! The table shows the cost for taxi rides of various distances. Which graph displays the same function?
Answer:
b because it cost u more for a certain distance
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options.
Answer:
its 4xy and 12x
( options B and C)
hope that helped :)
Answer:
its 4xy and 12x
Step-by-step explanation:
Donatello starts with a marble cube of side length $10.$ He then slices a pyramid off each corner, so that in the resulting polyhedron, all the edges have the same side length $s.$ Find $s.$ [asy] import three; size(7cm); unitsize(1 cm); currentprojection
The side length, s, of the resulting polyhedron is (20√3)/3 cm.
To find the value of s, the side length of the resulting polyhedron, we can analyze the original cube's corners and the pyramids that Donatello slices off. Each corner of the cube contributes one-eighth of a pyramid to the polyhedron. These pyramids are similar, and their base is an equilateral triangle with side length s/2, and the height is s/2.
Considering one of these pyramids, we can use the Pythagorean theorem to find its slant height (the side length of the original cube):
(s/2)^2 + (s/2)^2 + (s/2)^2 = 10^2
Simplifying:
3/4 * s^2 = 100
Now, solve for s:
s^2 = (4/3) * 100
s^2 = 400/3
s = √(400/3)
s = 20/√3
To rationalize the denominator, multiply by (√3/√3):
s = (20/√3) * (√3/√3)
s = (20√3)/3
So, the side length s of the resulting polyhedron is (20√3)/3 cm.
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The side length of the resulting polyhedron after slicing off corner pyramids is [tex]\( \frac{10}{3} \).[/tex]
Of course, here's the solution in LaTeX:
To find the side length ( s ), we can break down the process step by step:
1. Start with a cube of side length ( 10 ).
2. Slice off a pyramid from each corner.
Since all the edges of the resulting polyhedron have the same length, let's find the side length of the pyramid. Consider one of the corner pyramids:
- It has a square base, with side length ( x , which is also equal to the side length of the cube.
- It has four congruent triangular faces.
If we draw a cross-section through the pyramid and the cube, we'll see that the cross-section of the pyramid is an isosceles right triangle with legs of length ( x ).
Given this, we can use Pythagoras' theorem to find the height of the pyramid. The hypotenuse of the right triangle is ( x ), and the legs are each x ). So, we have:
[tex]\[ x^2 = x^2 + x^2 + h^2 \][/tex]
Solving for \( h \), the height of the pyramid, we get:
[tex]\[ h = \sqrt{x^2 - x^2} = \sqrt{x^2 - \left(\frac{x}{\sqrt{2}}\right)^2} \]\[ h = \sqrt{x^2 - \frac{x^2}{2}} = \sqrt{\frac{x^2}{2}} = \frac{x}{\sqrt{2}} \][/tex]
Now, we know that the height of the pyramid is [tex]\( \frac{x}{\sqrt{2}} \).[/tex]
When we remove the corner pyramid, the remaining shape is a pentagonal pyramid with a square base. This means the side length of the square base of the remaining polyhedron is [tex]\( 10 - 2x \).[/tex]
The height of this pentagonal pyramid is the same as the height of the corner pyramid, which is [tex]\( \frac{x}{\sqrt{2}} \).[/tex]
So, we can set up an equation for the height of the remaining pyramid:
[tex]\[ 10 - 2x = \sqrt{2} \cdot \frac{x}{\sqrt{2}} \]\[ 10 - 2x = x \][/tex]
Solving for \( x \):
[tex]\[ 10 = 3x \]\[ x = \frac{10}{3} \][/tex]
So, the side length [tex]\( s \) of the polyhedron after slicing off the corner pyramids is \( \boxed{\frac{10}{3}} \).[/tex]
You walk 1/3 miles to a clothing store. Then you walk another 1/4 miles to a shoe store. How many miles have you walked in all?
answer as a fraction in simplest form.
-2x^2+6x-3=0 with the quadratic formula
someone plz help
Answer:
a = -2 b = 6 c = -3
x = -6 +- sq root (6^2 -4 * -2 *-3) / 2 * -2
x1 = [-6 + sq root (36 - 24)] / -4
x1 = [-6 + sq root (36 - 24)] / -4
x1 = (-6 + sq root (12) ) / -4
x1 = (-6 + 3.4641016151 ) / -4
x1 = -2.5358983849 / -4
x1 = 0.6339745962
x2 = (-6 - sq root (12) ) / -4
x2 = (-6 - sq root (12) ) / -4
x2= (-6 - 3.4641016151 ) / -4
x2 = - 9.4641016151 / -4
x2 = 2.3660254038
Step-by-step explanation:
Autumn creates bracelets as a hobby and is planning to start selling them online for $10 per bracelet. Autumn has already sold 5 custom bracelets. Her bracelets are so popular that she expects to sell every bracelet that she makes. Write an equation for the amount of money Autumn makes. If Autumn makes and additional 24 bracelets, how much money will she make?
Answer:
(24*10)+50=290
Step-by-step explanation:
a) The equation for the amount of money Autumn makes is y = 10x , where x is the number of bracelets she sells and y is the total amount
b) The amount Autumn makes is $ 290
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
a)
Let the number of bracelets Autumn sells be = x
Let the cost of one bracelet be = $ 10
Now , the equation will be
So , the cost of x number of bracelets y = number of bracelets x cost of one bracelet
The cost of x number of bracelets y = 10x
So , the equation is y = 10x
b)
The equation is y = 10x
The cost of 5 bracelets = 10 x 5
= $ 50
Now , the cost of 24 bracelets = 24 x 10
= $ 240
So , the total amount Autumn makes = cost of 5 bracelets + cost of 24 bracelets
The total amount Autumn makes = 240 + 50
= $ 290
Hence ,
a) The equation for the amount of money Autumn makes is y = 10x , where x is the number of bracelets she sells and y is the total amount
b) The amount Autumn makes is $ 290
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how many points appear in the figure
John is driving around town. When he reaches the gas station, he notes that he has traveled 10 miles. He reaches home 2 hours later and notes that he has traveled 30 miles.
If d represents the distance and t represents the time, in hours, John has traveled since the gas station, which of the following equations can be used to model this situation?
A. d = 10t - 10
B. d=20 + 10 t
C. d= 10t + 10
D. d= 10t + 40
Answer:
C. d = 10t + 10
Step-by-step explanation:
If d represents the distance, you know that the equation on the other side has to have +10 included in it because this was stated in the problem (he has traveled 10 miles). C is the only option with +10, but if you'd like a further explanation on the 10t part... by the end of his trip, he has traveled 30 miles total. Subtract the 10 he initially traveled before arriving at the gas station, and he has traveled 20 miles in two hours. 20 (miles) / 2 (hours) = 10, so after the gas station, he traveled at an average speed of 10 mph. We now know that he traveled 10 miles, plus another 10 miles for every additional hour (t) he travels after that. This gives us d = 10t + 10.
How many times smaller is the volume of a cylinder if the diameter is multiplied by 1/2
Calculating the volume of a cylinder the radius is squared,
If the radius was 8 when 8 is squared you get 64
If the radius is multiplied by 1/2 the radius would become 4, 4 squared is 16
16 / 64 = 1/4
The volume would be 1/4 the original volume, so it would be 4 times smaller.
Final answer:
Halving the diameter of a cylinder makes its volume four times smaller, because the volume depends on the square of the radius, and reducing the diameter by half means the radius is also halved.
Explanation:
When the diameter of a cylinder is multiplied by 1/2, the radius of the cylinder is also reduced to half its original size. To understand the impact on the volume, we examine the volume formula for a cylinder: V = (pi = 3.1416) times r^2 times h, where V is the volume, r is the radius, and h is the height. If both the diameter and radius are reduced by half, the volume of the cylinder will be reduced by a factor of 1/2^2 for the radius squared part of the formula.
Volume is directly proportional to the square of the radius, so taking the original volume formula V =
times (original radius)^2 times h and then applying the radius reduction, we get the new volume V' =
times (1/2 times original radius)^2 times h = 1/4 times original volume. Therefore, the volume of the cylinder becomes four times smaller when the diameter (and thus radius) is halved.
What is the slope of the line that passes through the points (-1, -10)(−1,−10) and (-1, -2) ?(−1,−2)? Write your answer in simplest form.
Answer:
undefined
Step-by-step explanation:
We can find the slope of the line using
m = (y2-y1)/(x2-x1)
= (-2 - -10)/(-1 - -1)
= (-2+10)/(-1+1)
= 8/0
When we have a 0 in the denominator the slope is undefined
(1 point) Suppose F⃗ (x,y)=⟨2y,−sin(y)⟩ and C is the circle of radius 3 centered at the origin oriented counterclockwise. (a) Find a vector parametric equation r⃗ (t) for the circle C that starts at the point (3,0) and travels around the circle once counterclockwise for 0≤t≤2π.
Answer:
The required vector parametric equation is given as:
r(t) = <3cost, 3sint>
For 0 ≤ t ≤ 2π
Step-by-step explanation:
Given that
f(x, y) = <2y, -sin(y)>
Since C is a cirlce centered at the origin (0, 0), with radius r = 3, it takes the form
(x - 0)² + (y - 0)² = r²
Which is
x² + y² = 9
Because
cos²β + sin²β = 1
and we want to find a vector parametric equations r(t) for the circle C that starts at the point (3, 0), we can write
x = 3cosβ
y = 3sinβ
So that
x² + y² = 3²cos²β + 3²sin²β
= 9(cos²β + sin²β) = 9
That is
x² + y² = 9
The vector parametric equation r(t) is therefore given as
r(t) = <x(t), y(t)>
= <3cost, 3sint>
For 0 ≤ t ≤ 2π
The vector parametric equation for the circle C that starts at the point (3,0) and travels around the circle once counterclockwise for 0≤t≤2π is:
[tex]r(t) = <3cost, 3sint>[/tex]
We have
[tex]f(x, y) = <2y, -sin(y)>[/tex]
As C is a circle centered at the origin (0, 0), with radius r = 3,
So, equation is:
[tex](x - 0)^2 + (y - 0)^2 = r^2[/tex]
[tex]x^2+ y^2 = 9[/tex]
As, cos²β + sin²β = 1
Take ,
x = 3cosβ
y = 3sinβ
Then
[tex]x^2 + y^2 = 3^2cos^2\beta + 3^2sin^2\beta\\= 9(cos^2\beta + sin^2\beta) \\= 9\\x^2 + y^2 = 9[/tex]
The vector parametric equation r(t) is therefore given as
[tex]r(t) = <x(t), y(t)>[/tex]
[tex]= <3cost, 3sint>[/tex]
For 0 ≤ t ≤ 2π
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Find the area of the irregular polygon.
8 ft
4 ft
12 ft
Answer:
120
Step-by-step explanation:
you multiply base times height of the rectangle to get 96 then you do 1/2 bh for the triangle to get 24 and then you add them to get 120
The area of the irregular polygon is 120ft^2
We are given that;
The figure with triangle on top and rectangular base
Height of triangle=4ft
Base* height= 12*8
Now,
Area of triangle= 1/2 * base * height
=1/2 * 12 * 4
=24
Area of rectangle= 12 * 8
=96
Total area= 24+96
=120
Therefore, by the given polygon answer will be 120ft^2.
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if a = 10 , than a2 =
Step-by-step explanation:
if a = 10
a² = 10²= 100
Hope it will help :)
Answer:
a^2 = 100
a * 2 = 20
Step-by-step explanation:
If a = 10 , than a2 =
a^2 = 100 because 10 ^2 = 10 * 10 = 100
a * 2 = 10 * 2 = 20
Monkey at the zoo eat 4 cups of food every day elephants eat 76 times as much which equation and solution represent the number of cups of food elephants eat per day ?
Answer:
X = 76*4
= 304 cups of food
Step-by-step explanation:
Given:
Monkey eat 4 cups of food / day Elephants eat 76 times as much as Monkey does / daySo Let X is the number of cups of food that elephants eat per day, we have the equation:
X = 76*4
= 304 cups of food
Hope it will find you well.
answer??
ill give a brainliest
Answer:
r=7
Step-by-step explanation:
-30=12-6r
We move all terms to the left:
-30-(12-6r)=0
We add all the numbers together, and all the variables
-(-6r+12)-30=0
We get rid of parentheses
6r-12-30=0
We add all the numbers together, and all the variables
6r-42=0
We move all terms containing r to the left, all other terms to the right
6r=42
r=42/6
r=7
Answer:
-3 = r OR r = -3
Step-by-step explanation:
-30 = 12 - 6r
30+12 = -18 12+12 = (cancels out left with just 6r)
-18/6r = -3
-3 = r
Hope this helped :)
10•f(7)+9•g(-1)? What’s the answerrr
Answer:
= 70f - 9g
Step-by-step explanation:
1. Remove parentheses
2. Multiply the numbers
3. Multiply the numbers
Answer:
-1
Step-by-step explanation:
What’s the answer to this ?
Answer:
16 ^3/4 = 8
Step-by-step explanation:
distribute the exponential fraction.
can someone help me please? Thanks!
do you guys mind helping ?
Answer:
m = -7
Step-by-step explanation:
1) expand: 2/9m-16/9=2/3m+4/3
2) add 16/9 to both sides:
2/9m-16/9+16/9=2/3m+4/3+16/9
3) simplify: 2/9m=28/9+2/3m
4) subtract 2/3 m from both sides:
2/9m-2/3m= 28/9+2/3m-2/3m
5) simplify: -4/9m=28/9
6) m=-7
Which expression is the result of factoring the expression below by taking out its greatest common factor? 16x^2-8x=
Answer:
8x(2x - 1)
Step-by-step explanation:
Step 1: Write expression
16x² - 8x
Step 2: Find GCF
We can factor and 8 out of both terms and also an x out of both terms.
GCF = 8x
Step 3: Factor
8x(2x - 1)
To factor the expression [tex]16x^2[/tex] - 8x, the greatest common factor is 8x, resulting in the factored expression 8x(2x - 1).
To factor the expression [tex]16x^2[/tex] - 8x by taking out the greatest common factor (GCF), we first identify the largest factor that divides both coefficients. Here, 8 is the GCF of 16 and 8, and since both terms also include a factor of x, the GCF is 8x. We then divide each term by 8x to find the factored expression:
[tex]16x^2[/tex] ÷ 8x = 2x
-8x ÷ 8x = -1
So, the expression factored by its greatest common factor is 8x(2x - 1).
Edward and Tiffany were comparing the distance they ran over a week. If Edward ran
11.90 miles and Tiffany ran 7.9 miles, how far did they run total?
Answer:
18.9 miles
Step-by-step explanation:
11.90 + 7.9 = 18.9
-1 3/5 divided by (- 2/3)
Answer:
2 2/5
Step-by-step explanation:
-1 3/5 ÷ -2/3
First change the mixed number to an improper fraction
1 3/5 = (5*1 +3)/5 = 8/5
-8/5 ÷ -2/3
Copy dot flip
-8/5 * -3/2
Multiply the numerators then the denominators
24/10
Dividing the top and bottom by 2
12/5
Changing this back to a mixed number
10/5 +2/5
2 + 2/5
2 2/5
Pls mark Brainliest.
Answer:
12/5 or 2 2/5 is the answer.
Step-by-step explanation:
-1 3/5 divided by -2/3.
First, we must turn the mixed fraction into an improper fraction so we are able to perform operations without the hassle of an extra whole.
-1 3/5 = -8/5
Now let's divide. Division is the same as multiplying the dividend by the reciprocal of the divisor. The divisor is the latter, or the number we are dividing the other number by, i.e. -2/3.
The reciprocal of -2/3 is -3/2.
Now let's multiply.
-8/5 * -3/2 = 24/10, which simplifies into 12/5.
12/5 or 2 2/5 is the answer.
If the figure below is a regular polygon, find the value of x.
Answer:
Sum of the interior angles of a regular polygon is given by = (n-2)180°
where n is the no. of sides.
In the above figure, n= 10
Therefore, sum of the interior angles = (10-2)×180°
= 8×180°
= 1440°
Measure of each angle = 1440/10= 144°
Therefore, 10x+4=144
=> 10x= 140
=> x= 14
For the given figure the value of x is 14
Given a regular polygon
A regular polygon is a polygon which has all sides equal and each side subtends equal interior angle at the center.
According to the figure
We are given a regular polygon with 10 sides
The angle subtended at the center is given as
(10x + 4)°
[tex]\rm The\; Sum \; of \; Interior\; angles = \bold {(n-2) \times 180\textdegree} ......(1) \\Where n = Number \; of \; sides \;of\; a \;polygon[/tex]
The Sum of interior angles = ( 10-2) [tex]\times 180\textdegree[/tex]= 1440°
So the angle subtended by one side at the center is given as follows
1440°/ 10 = 144°
Since the angle subtended at the center = 144° = (10x + 4)°
so by solving this we can get
140 = 10x
x = 14
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