Under her cell phone plan, Aubree pays a flat cost of $58.50 per month and $3 per gigabyte. She wants to keep her bill at $72.30 per month. How many gigabytes of data can she use while staying within her budget?
Answer:
Aubree can use 4.6 gigabytes of data while staying within her budget.
If the answer choices only use whole numbers, use 4 gigabytes, because it is the number of full gigabytes she can use.
Step-by-step explanation:
x= gigabyte
58.50 + 3x = 72.30
3x = 72.30-58.50
3x= 13.8
x= 4.6
The figure below shows a large rectangle with a small rectangle cut out of it.
What is the area?
Answer:
40 square units
Step-by-step explanation:
The question gives that both the large shape and the small missing shape are rectangles. The formula for the area of a rectangle is [tex]A=bh[/tex] where "A" is the "Area", "b" is the "base" (bottom edge), and "h" is the height (side edge).
For rectangles, opposite sides (example: top & bottom) have the same length, so the top of the missing rectangle must also be 3.
To find the area of the figure, we must find the difference (subtraction) between the large rectangle (without a hole out of it) and the rectangular hole.
[tex]A_{\text{figure}}=A_{\text{large rectangle without hole}}-A_{\text{hole}}\\A_{\text{figure}}=(7)(7)-(3)(3)\\A_{\text{figure}}=49-9\\A_{\text{figure}}=40[/tex]
So, the area of the figure is 40 square units.
Answer:
40
Step-by-step explanation:
We can make a big square by making a line at the top open edge (as shown in the image attached below). We will first solve for [tex]A_{2}[/tex] and then [tex]A_{1}[/tex], and then finally solving for out answer by subtracting [tex]A_{1}[/tex] from [tex]A_{2}[/tex] .
[tex]A_{2}[/tex] is a square with side lengths of 7, so the area is 7 * 7 = 49.
[tex]A_{1}[/tex] is a smaller square with side lengths of 3, so the area is 3 * 3 = 9.
[tex]A_{2} - A_{1} = 49 - 9 = 40[/tex]
∴ Our final answer is 40
Use trigonometry to find the height of the triangle. Then use the height to find the area. Round to the nearest hundredth
Answers:
height = 4.46 units
area = 26.73 square units
Both values are approximate
===========================================================
Explanation:
h = height of the triangle
Focus on the smaller triangle on the left.
Use the cosine ratio to find h
cos(angle) = adjacent/hypotenuse
cos(27) = h/5
h = 5*cos(27)
h = 4.4550326 approximately
Your calculator needs to be in degree mode.
We can now find the area of the overall largest triangle.
area = 0.5*base*height
area = 0.5*12*4.4550326
area = 26.7301956
area = 26.73
Answer with a step-by-step explanation:
1) First, let us find the height of the triangle.
For that let us use cos theta to find the triangle's height.
Let us use the below formula to find it.
cos Θ = Adjacent ÷ hypotenuseLet the height (adjacent ) be h.
Let us find it now.
cos Θ = Adjacent ÷ hypotenuse
cos 27° = h ÷ 5
0.8910 = h ÷ 5
0.8910 × 5 = h
4.455 = h
Therefore the height of the triangle is 4.455 units.
2) And now let us find the area of the triangle.
The formula to find the area of a triangle is:
Area = [tex]\frac{1}{2}[/tex] × base × heightLet us find it now.
A = [tex]\frac{1}{2}[/tex] × base × height
A = [tex]\frac{1}{2}[/tex] × 12 × 4.455
A = [tex]\frac{1}{2}[/tex] × 53.46
A = 26.73 units²
The World Health Organization lists the following overall literacy rates per 100 people for countries. Which answer choice includes all countries with literacy rates above 90%?
Answer:
The answer is D
Cuba, Poland, U.S., Argentina, Turkey, and Spain
Step-by-step explanation:
Basically, what it was asking, is what countries are over 90%? So, all you have to do - to put it simply - is just look at the countries that's numbers are greater than 90%
What is the value of x?
to
x = [? ]°
36°
Enter
I will give you 25 pts
The vale of x is 54°.
What is tangent?The tangent is defined as a line touching circles or an ellipse at only one point.
We have,
As, the tangent is perpendicular to the radius of the circle.
So, using Angle sum property in a triangle
x+90+36= 180
x+126 = 180
x= 54°
Hence, the value of x is 54°
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Skf theatre bought a movie license for rs. 1,500 per week. the cost of keeping the stuff and the hall is rs. 20,000 per month. if they charge rs. 10 per seat, then how many people would have to see the movie in the first four weeks in order for them to recoup the costs?
Answer:
21500
Step-by-step explanation:
21500 people would have to see the movie to recuperate their losses.
The number of people would have to see the movie is given by the equation A = 2600 people
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 ,
Let the number of people to see the movie in first four weeks be A
Now , the equation will be
The cost of movie license per week = ₹ 1500
The cost of movie license per month = 4 x ₹ 1500
The cost of movie license per month = ₹ 6000
And ,
The cost of keeping the stuff and hall for a month = ₹ 20,000
So ,
The cost of movie license and the hall for a month = 20,000 + 6000
The cost of movie license and the hall for a month = ₹26,000
The cost of charge of each seat = ₹ 10
So , the number of people to see the movie in the first four weeks in order for them to recoup the costs A = cost of movie license and the hall for a month / cost of charge of each seat
Substituting the values in the equation , we get
Number of people to see the movie in first four weeks A = 26000/10
Number of people to see the movie in first four weeks A = 2600 people
Hence , the number of people is 2600 people
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What is the slope of a line that is parallel to the line y 3/4x+2
Answer:
-4/3
Step-by-step explanation:
mtan × mline = -1
mtan× 3/4 = -1
mtan =-4/3
you are in charge of buying the soda and paper plates for a party. The soda costs $3 per case and the paper plates cost $4 per stack. you have no more than $25 to spend.
The inequalities that define the given conditions are,[tex]4x+3y \leq25[/tex].Option A is correct.
What is the definition of inequality?Inequality is a sort of equation in which the equal sign is missing. As we will see, inequality is defined as a statement regarding the relative magnitude of two claims.
Given data;
Soda costs = $3 per case
Paper plates = $4 per stac
The maximum amount of money you can spend is $25
x = the number of cases of soda
y = the number of stacks of paper plates.
The inequalities that define the given conditions are;
[tex]4x+3y \leq25[/tex]
Hence, option A is correct.
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if c = 10 then the value of a is…
5[tex]\sqrt{3}[/tex]
Step-by-step explanation:Special right triangles, such as the one shown, have unique equations that can be used to find missing sides.
30-60-90 Triangles
The angle measurements show us that this is a 30-60-90 triangle. This name refers to the 3 angle measurement. There are 2 types of special right triangles, 45-45-90 and 30-60-90. For most triangles, it would take the law of sine or cosine to find a missing side with only 1 side given. But, with special right triangles, we can use shortcuts to find a.
Formulas
For all 30-60-90 triangles, there are 3 sides: the hypotenuse (c), the long leg (a), and the short leg (b). The shortcuts for 30-60-90 triangles are based on the length of the short leg.
The formulas are as follows (the variables match the variable given in the figure):
c = 2bb = 0.5ca = b[tex]\sqrt{3}[/tex]Solving for a
So, to find a, we must first find b. Since b is equal to half of c, we can divide the value of c by 2.
10/2 = 5Thus, b = 5
Next, plug this value into the formula for b
a = 5[tex]\sqrt{3}[/tex]Answer:
Last option
Step-by-step explanation:
cos30° = a/10
a = 10cos30°
[tex]cos30=0.8660=\frac{\sqrt{3} }{2}[/tex]
[tex]a=10(\frac{\sqrt{3} }{2} )=5\sqrt{3}[/tex]
Hope this helps
The following clues will help us identify a shape:
The shape has no right angles.
The shape has no pairs of sides of equal length.
The shape is not a triangle.
it is a circle
PLEASE MARK THIS AS THE BRAINLYEIST ANSEWER
Which expression is equivalent to
(Q^5)^2
The correct value that equates to this expression is q¹⁰
.
To solve this expression, just:
eliminate the parentheses and multiply the exponents among themselves;[tex] \boxed{ \large \sf (a {}^{n} ) {}^{m} \rightarrow a {}^{n \times m} } \\ \\ [/tex]Resolution[tex]{ = \large \sf (q {}^{5} ) {}^{2} } [/tex]
[tex]{ = \large \sf q {}^{5 \times 2} } [/tex]
[tex] \pink{ \boxed{ = \large \sf q {}^{10} } } \\ [/tex]
Therefore, the answer will be q¹⁰
Answer:
Q¹⁰
Step-by-step explanation:
Given that,
(Q⁵)^2Solution:
Well,there is a law of exponents,which states that:
(a^b)^c = a^bcSame case is here as well.
Just multiply both powers given.
(Q⁵)²5*2 = 10
Q¹⁰Hence, the expression equivalent to (Q⁵)² is (Q)¹⁰
The volume of a box is 5x^3 + 20x^2 + 15x cm^3. If the height of the box is 5x cm, find the width and length of the box.
Answer:
The product of the Width and Length is x^2 + 4x + 3 cm^2.
Step-by-step explanation:
The volume of a box = 5x^3 + 20x^2 + 15x cm^3.
Volume of a Box = W*L*H [Width(W), Length(L), and Height(H)]
W*L*(5x) = 5x^3 + 20x^2 + 15x cm^3
W*L = (5x^3 + 20x^2 + 15x cm^3)/5x cm
W*L = x^2 + 4x + 3 cm^2
We know the area of the base of the box (W*L). It is x^2 + 4x + 3 cm^2.
To find the actual width and length, we need to know one of the variables, L or W. Without that, all we can say is that their product (W*L) is x^2 + 4x + 3 cm^2.
what is the correct arangement of 3-6x-2x^2+3x-6x^2+2
Answer:
-8x²-3x+5
Step-by-step explanation:
First, add like terms.
3-6x-2x²+3x-6x²+2=
= 5-3x-8x²
Put it in standard form. To put in standard form, put the exponent from greatest to least.
-8x²-3x+5.
Hope this helps!
If not, I am sorry.
The coordinates of the vertices of △ABC are A(−2,2), B(5,−3), and C(−4,−1). Identify the perimeter of △ABC. Round each side length to the nearest tenth before adding.
The perimeter of the triangle is 21.4 units
How to determine the perimeter?The points are given as:
A(−2,2), B(5,−3), and C(−4,−1)
Calculate the side lengths using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]
So, we have:
[tex]AB = \sqrt{(-2 -5)^2 + (2 + 3)^2} = 8.6[/tex]
[tex]AC = \sqrt{(-2 +4)^2 + (2 + 1)^2} = 3.6[/tex]
[tex]BC = \sqrt{(5+4)^2 + (-3 + 1)^2} = 9.2[/tex]
The perimeter is then calculated as:
P = AB + AC + BC
This gives
P = 8.6 + 3.6 + 9.2
Evaluate
P = 21.4
Hence, the perimeter of the triangle is 21.4 units
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Which of the following statements are true about the graph of f(x) = 6(x + 1)²-9?
Check all of the boxes that apply.
The vertex is (1, -9).
The graph opens upward.
The graph is obtained by shifting the graph of f(x) = 6(x + 1)² up 9 units.
The graph is narrower than the graph of f(x) = x².
The graph is the same as the graph of f(x) = 6x² + 12x-3.
RETRY
Angle QRS is bisected by ray RP. If angle QRP is 60 degrees, what would be the measure of angle QRS?
Answer:
6779
Step-by-step explanation:
69
this answer doesnt't answer my question
IT IS WRONG!!!!!!!!!
There is a bag filled with 3 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
answer this properly please
Given circle with radius of 5cm.
Find out
(a) diameter
(b) perimeter
(c) area
Answer:
(1) 10
(2) 10π
(3) 25π
Step-by-step explanation:
We are given the radius of the circle which is halfway through a circle. The radius of this circle is 5.
We are required to find the diameter, perimeter, and area using the given data we have been provided with.
Let's start:
#1: Diameter
To find diameter [tex]d[/tex] use formula:
[tex]d=2*r[/tex]
After substituting [tex]r=5[/tex] we have:
[tex]d=2*5\\d=10[/tex]
After calculating, we have found that the diameter of the circle is 10.
#2: Perimeter
The perimeter can also be known as the circumference of a circle as they both measure the outline.
To find circumference [tex]C[/tex] use formula:
[tex]C=2*r*\pi[/tex]
After substituting [tex]r=5[/tex] we have:
[tex]C=2*5*\pi[/tex]
[tex]C=10\pi[/tex]
Convert [tex]10\pi[/tex] to a decimal and round it to the nearest tenth and we have:
⇒ 31.4159265359
⇒ 31.4
After calculating, we have found that the perimeter (or circumference of the circle is 10π or 31.4 (Rounded to the nearest tenth in decimal form).
#3: Area
To find area [tex]A[/tex] use the formula:
[tex]A=r^2*\pi[/tex]
After substituting [tex]r=5[/tex] we have:
[tex]A=5^2*\pi \\A=25*\pi \\A=25\pi[/tex]
Convert [tex]25\pi[/tex] to a decimal and round it to the nearest tenth and we have:
⇒ 78.5398163397
⇒ 78.6
After calculating we have found that the area of the circle is either 25π or 78.6 (rounded to the nearest tenth).
After finding all the required information, we have now completed the answer.
Find the measure of one interior angle of a regular 21-gon.
A. 160
B. 162.9
C. 165.6
D. 165
Pls solve with working out. Ok thanks
Answer:
AB and CD have the same midpoint, therefore they bisect each other.
Step-by-step explanation:
Find the midpoint of AB. Then, find the midpoint of CD. They are the same. The segments bisect each other. See image.
PLEASE ANSWER ASAP ACTUALLY ANSWER PLEASE AS SOON AS YOU CAN PLEASE I NEED IT
Graph the quadratic equation. Zoom and pan your graph to establish an appropriate viewing window.
X^2 + 2x - 24 = 0
Step-by-step explanation:
x=4,-6
im pretty sure this is correct
If sin(theta) = 4/7, what is cos(theta)? PLEASE HELP!
Step-by-step explanation:
sin(theta)=4/7
cos(theta)=√1-sin²theta
=√1-(4/7)²
=√1-16/49
=√(49-16)/49
= √33/49
=(√33)/7
For her class, Mrs. Norman bought 31 student tickets and 32 adult tickets, which cost a total of $854. Mr. Horton spent $837, getting 31 student tickets and 31 adult tickets. What is the price for each type of ticket?
Answer:
Each student ticket costs $10, and each adult ticket costs $17.
Step-by-step explanation:
Let s represent the cost of a student ticket and a represent the cost of an adult ticket.
31s + 32a = 854
31s + 31a = 837
----------------------
a = 17
31s + 31(17) = 837
31s + 527 = 837
31s = 310, so s = 10
16
Select the correct answer from each drop-down menu.
4
Each participant tastes snack A and snack B and then chooses their favorite. Some participants have eaten snack A before and some have not
The results of the test are shown in a table. Using the data in a table, the company that makes snack A calculates probabilities related to a
random selected person.
Has Eaten Snack A
before
Prefers Snack A
144
2 Edmentum. All rights reserved.
Type here to search
Prefers Snack B
Has Not Eaten
108
Snack A before
Total
252
320
Complete the conclusions based on the data in the table.
92
O
228
Total
236
Given a person who has eaten snack A before, the customer will
Given a person who has not eaten snack A before, the customer will want to eat snack
Reset
336
572
Next
75°F Sunny A
ave & Exit
6:46 AM
6/30/2022
The conditional probability values are 0.57 and 0.43
Missing informationHas Eaten before Have not Total
Snack A 144 108 252
Snack B 92 228 320
Total 236 336 572
Using the data in a table, the company that makes snack A calculates probabilities related to a random selected person.
Given a person who has eaten snack A before, the customer will want to eat snack AGiven a person who has not eaten snack A before, the customer will want to eat snackHow to determine the probabilities?The required probabilities are conditional probabilities, and they are calculated using:
P(A | B) = P(A and B)/P(B)
Using the above formula, we have:
The probability that a customer eats snack A given that the customer has eaten snack A before, to be:
P = n(Have eaten snack A)/n(Snack A)
This gives
P = 144/252
Evaluate
P = 0.57
Also, we have:
The probability that a customer eats snack A given that the customer has not eaten snack A before, to be:
P = n(Have not eaten snack A)/n(Snack A)
This gives
P = 108/252
Evaluate
P = 0.43
Hence, the probabilities are 0.57 and 0.43
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someone please help me w this standard form question
Answer:
2.4 × 10⁶
Step-by-step explanation:
Given:
[tex]\sf x=3.8 \times 10^5[/tex][tex]\sf y=5.9 \times 10^4[/tex]To calculate the value of R, substitute the given values into the given formula:
[tex]\begin{aligned}\sf R & = \sf \dfrac{x^2}{y}\\\\ \implies \sf R& = \sf \dfrac{(3.8 \times 10^5)^2}{5.9 \times 10^4}\\\\& = \sf \dfrac{3.8^2 \times (10^5)^2}{5.9 \times 10^4}\\\\& = \sf \dfrac{14.44 \times 10^{10}}{5.9 \times 10^4}\\\\& = \sf \dfrac{14.44}{5.9} \times \dfrac{10^{10}}{10^4}\\\\& = \sf 2.4474... \times 10^{(10-4)}\\\\& = \sf 2.4474... \times 10^6\\\\\end{aligned}[/tex]
Therefore, the value of R to 1 decimal place is 2.4 × 10⁶
--------------------------------------------------------------------------
Exponent Rules used
[tex](a^b)^c=a^{bc}[/tex]
[tex]{a^b}{a^c}=a^{b-c}[/tex]
[tex]R = \frac{ {x}^{2} }{ y} \\ \\ R = \frac{ {(3.8 \times {10}^{5})}^{2} }{5.9 \times {10}^{4} } \\ \\ R = \frac{ ({3.8})^{2} \times ( { {10}^{5} )}^{2} }{5.9 \times {10}^{4} } \\ \\ R = \frac{14.44 \times {10}^{10} }{5.9 \times {10}^{4} } \\ \\ R = \frac{14.44 \times {10}^{10 - 4} }{5.9} \\ \\ R = 2.45 \times {10}^{6} [/tex]
What is the value of x
Enter your answer in the box
X= _ degrees
Answer:
x = 55 degrees
Step-by-step explanation:
The sum of the internal angles of a triangle results in 180°
x + 50° + 75° = 180°
x + 125° =180°
x = 180° - 125°
x = 55°
please help me ill give 10 points
Answer:
y=160
Step-by-step explanation:
y=90+14(x)
x=5
y=90+14(5)
y=90+70
y=160
Hope this helps!
If not, I am sorry.
Which equation best describes this line?
1. Identify your variables using let statements.
2. Determine the equations for the linear system.
3. Determine the solution to the linear system (point of intersection)
4. Explain the meaning of the solution using a therefore statement.
You own a catering company and are in charge of an engagement party. There are two dinners: a chicken dish, which costs $40, and a lobster dish, which costs $70. The 250 party guests have ordered their meals in advance, and the total cost to prepare the dinner is $13 570. How many of each type of dinner are you preparing?
The number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes
How to find the number of each type of dish.Let
x = number of chicken dish and y = number of lobster dishHow to determine the equations for the linear systemSince it cost $40 per dish for chicken dish, the total cost of chicken dish is 40x.
Also, since it cost $70 per dish for lobster dish, the total cost of lobster dish is 70y
So, the total cost of dish is T = 40x + 70y
Also, we know that the total cost of dish is $13,570.
So, 40x + 70y = 13570 (1)
Also, there are going to be 250 guest at the dinner and thus 250 dishes.
So, the total number of dishes is x + y = 250
So, x + y = 250 (2)
So, the equations of the linear system are
40x + 70y = 13570 (1)
x + y = 250 (2)
How to determine the solution for the linear systemSince
40x + 70y = 13570 (1)
x + y = 250 (2)
From (2), x = 250 - y
Substituting x into (1), we have
40x + 70y = 13570 (1)
40(250 - y) + 70y = 13570 (1)
10000 - 40y + 70y = 13570
30y = 13570 - 10000
30y = 3570
y = 3570/30
y = 119
Substituting y = 119 into x, we have
x = 250 - y
x = 250 - 119
x = 131
Therefore, the number of chicken dish is 131 dishes while the number of lobster dishes is 119 dishes
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i need the missing numbers
Answer:
Step-by-step explanation:
1) y = [tex]\frac{1}{3}[/tex]
2) x = [tex]\frac{1}{3}[/tex]
3) y = -3
4) x = [tex]\frac{-1}{-12}[/tex]
Answer:
11,3,3,12
Step-by-step explanation:
1st y= 11 because -2/3(-6)=4 4+7=11
1st x= 3 because -2/3(3)=-2 and -2+7 is 5
2nd y=-3 because -2/3(15)=-10 -10 +7=-3
2nd x=-12 because -2/3(-12)=8 8+7=15
