Ivan purchased one bookmark and 7 books for a total of $82.00. The price of the bookmark was $2.20 and each book cost the same amount.
What was the cost of one book in dollars and cents?
Answer:
$11.40
Step-by-step explanation:
Subtract the bookmark from the total amount
82.00 - 2.20 = 79.80
Divide the answer by how many books you purchased
79.80/7
= ($11.40)
Solve the system of equations: y = 2x – 3 y = x2 – 3 A. (0, –3) and (2, 1) B. (0, 3) and (2, 0) C. (–1, –5) and (4, 5) D. (3, 6) and (–3, 6)
Answer:
A. (0,-3) the other possible anser is (2,1) but that's not an option
I’m literally dy!ng pls help
Answer:
Option c, G(x) = 12x
Step-by-step explanation:
Vertical stretch occurs when a base graph is multiplied by a certain factor that is greater than 1
In the equation f(x) = mx, the m is acting as the vertical stretch or compression of the identity function.
- f(x) = x by m vertically stretches the graph of f by a factor of m units if
m > 1
- vertically compresses the graph of f by a factor of m units if
0 < m < 1.
This means the larger the absolute value of m, the steeper the slope.
Answer:
Here, the parent should pass through the origin, which is through the coordinate (0,0).
The only function that passes through this (0,0) point and is vertically stretched is only valid is:
y = 12x
A computer generates 50 integers from 1 to 8 at random. The results are recorded in this table.
Outcome 1 2 3 4 5 6 7 8
Number of times outcome occurred
5 8 9 7 4 6 5 6
What is the experimental probability of the computer generating a 2 or a 4?
12%
15%
22%
30%
The experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.
What is probability?It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
A computer generates 50 integers from 1 to 8 at random.
Total number of outcomes = 5+8+9+7+4+6+5+6 = 50
Computer generating a 2 = 8
Computer generating a 4 = 7
P(computer generating a 2) = 8/50
P(computer generating a 4) = 7/50
P(computer generating a 2 or a 4) = 8/50 + 7/50 = 15/50 or
= 0.3×100
= 30%
Thus, the experimental probability of the computer generating a 2 or a 4 is 30% option fourth is correct.
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Help with these 10th grade geometry angle problems? I'm desperate and my teacher won't help me. Please also explain how you got your answer. Thank you.
Answer: 60
Step-by-step explanation:
See
m<COB and m<EOD are opposite anglesHence they are equal in measure.Hence
m<COB=60°
which number line shows -4 , 1,1 and 2 correctly plotted
Answer:
C
Step-by-step explanation:
The number line in option C contains the points -4, -1, 1 and 2 correctly plotted.
the answer is c :) lol it's the correct one I think
A store owner puts in an order for product x and product y for a total of 4,000 units. it costs $0.10 per item to ship of product x and $0.04 per item to ship product y. if the total shipping cost is $352, which system of equations can be used to determine how much of product x and product y the store owner bought? startlayout enlarged left-brace 1st row x y = 4,000 2nd row 10 x 4 y = 352 endlayout startlayout enlarged left-brace 1st row 10 x 4 y = 4,000 2nd row x y = 352 endlayout startlayout enlarged left-brace 1st row x y = 4,000 2ndrow 0.1 x 0.04 y = 352 endlayout startlayout enlarged left-brace 1st row 0.1 x 0.04 y = 4,000 2nd row x y = 352 endlayout
The system of equations can be used to determine how much of product x and product y the store owner bought is x + y = 4,000
0.10x + 0.04y = 352
Simultaneous equationproduct xProduct yTotal units of x and y = 4,000 unitsCost of shipping each product x = $0.10Cost of shipping each product y = $0.04Total cost of shipping = $352The equation:
x + y = 4,000
0.10x + 0.04y = 352
Therefore, the system of equations can be used to determine how much of product x and product y the store owner bought is x + y = 4,000
0.10x + 0.04y = 352
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Answer:
C
Step-by-step explanation:
Let U = {1,2,3,4,5,6,7,8,9,10}
Let A = {2,4,6,8,10}
Let B = {1,3,4,6,9}
Determine (A - B)'
Answer:
A-B = {2,8,10]
this is the correct answer
i hope my answer was helpful to you
Ciara bought four burgers.
She paid with a £20 note and got £6 change.
a
How much did each burger cost?
£3.50 for each burger
3.50×4= 14 left over is 6 from the 20 pound note
A ring is reduced to £840. This is a saving of 40% of the original price. What was the original price
The answer is 1400, good luck
Q2 - Distance and average speed
Use the graph to work out
the following correct to 1 dp:
Answer:
See below ~
Step-by-step explanation:
Part 1 - Acceleration when t = 3
Acceleration is constant during the time period t = 0 to t = 4a = change in velocity / change in timea = 22 - 11 / 4 - 0a = 11/4a = 2.75 m/s²Part 2 - Deceleration when t = 12
Deceleration is constant during the time period t = 8 to t = 15Distance covered in the time period = 1/2 x 7 x 22 = 77 mv² - u² = 2aS0 - 484 = 2(77) × aa = -484/154a ≈ -3.14 m/s²Part 3 - Total Distance Covered
Area under the graph gives distanceFrom t = 0 to t = 4S = 1/2 x 11 x 4 + 11 x 4S = 22 + 44 = 66 m2. From t = 4 to t = 8
S = 22 x 4 = 88 m3. From t = 8 to t = 15
77m (found in Part 2)Total distance = 66 + 88 + 77 = 231 m
Part 4 - Average Speed
Avg. Speed (t = 0 to t =4)66/4 = 16.5 m/s2. Avg. Speed (t = 4 to t = 8)
88/4 = 22 m/s3. Avg. Speed (t = 8 to t = 15)
77/7 = 11 m/sAverage Speed = 16.5 + 22 + 11 / 3
49.5/316.5 m/sFind the area of the figure. (Sides meet at right angles.)
Answer:
44ft^2
Step-by-step explanation:
Break the shape into 3 rectangles, two 3 by 2's and one 4 by 8. (Get 4 by subtracting 3 from 7 for the left and right most side)
3 x 2 = 6 ft^2
since there's two rectangles you end up 6 + 6 so you get 12 ft^2
then 4 x 8 = 32 ft^2
add 32 and 12, get 44 ft^2
Can someone help me with this?
Answer:
88.0 in^3 to nearest tenth.
Step-by-step explanation:
The radius = 1/2 diameter
= 11/2 * 4 = 2 ins,
The Volume = πr^2 h
= π * 2^2 * 7
= 87.96 in^3.
Answer:
87.9 in³ OR 88.0 in³
Step-by-step explanation:
Concepts
The volume of a cylinder is [tex]\pi r^2h[/tex], where r = radius and h = height.
The radius is twice the diameter.
Application
We are given the diameter as 4 inches, so the radius is 2 inches. The height of the cylinder is 7 inches. Now, we just apply our aforementioned formula and plug in its values of r and h. Since I don't know if you're using pi as 3.14 or just using the exact value of pi, I have provided two different answers at the top.
Solution
1:
[tex]3.14*2^2*7[/tex] [tex]3.14*4*7[/tex] [tex]3.14*28[/tex] [tex]87.92[/tex] [tex]87.9[/tex]2:
[tex]\pi *2^2*7[/tex] [tex]\pi *4*7[/tex] [tex]28\pi[/tex] [tex]87.9645943005...[/tex] [tex]88.0[/tex]A rectangular banner has a perimeter of 192 inches and a length of 60 inches.
What is the width of the banner? please answer!
width= area /length
width= 192/60
Width= 3.2 inches
Answer:
36 is the width.
Step-by-step explanation:
A rectangle has four sides.
So the equation should be:
60+60+?+?= 192.
In order to cancel out the two 60s, you subtract it from 192.
So,
?+?=72.
The sides opposite of a rectangle is congruent, thus,
72/2=36.
The width of the rectangular banner is 36, and to check the answer you just plug all the digits in.
60+60+36+36=192.
Hopefully this helped!
please help me I will give brainliest
Answer:
potential to kinetic energy
Which function is described by the value in the table
Answer:
second one
Step-by-step explanation:
Jermaine is throwing a surprise party for his mom. He has a photograph of her he wants to enlarge it to life size! The print shop charges by the square inch of poster paper. His mom 3 inches tall in the photo, but is actually 66 inches tall. If the area of the photo is 15 square inches, which of the following proportions could be used to determine how much paper jermaine will pay for where x is the area of the poster?
The area of the poster will be 0.68 m². The number of unit squares that cover the surface of a closed-form is the figure's area.
What is the area?The space filled by a flat form or the surface of an item is known as the area. Square centimeters and other similar units are used to measure area.
Given data;
Height of mom in the photo = 3 inches
Real size of photo=66 inches
Area of the photo = 15 square inches
Where x is the area of the poster, the following proportions might be used to predict how much paper Jermaine will pay for:
Area = width × length
[tex]\frac{Real \ size }{Photo \ size} =\frac{Real \ area}{Photo \ area } \\\\ \frac{66}{3} =\frac{15}{x} \\\ x=0.68 \ m^2[/tex]
Hence,the area of the poster will be 0.68 m².
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i chose x=3 , x=-4 which was wrong the correct answer is x=1 , x=-2
can someone please explain how to get that answer
Answer:
vertical asymptotes is x = -2 and x = 1
Step-by-step explanation:
For rational functions, the vertical asymptotes are the undefined points, also known as the zeros of the denominator (below the line), of the simplified function.
This means [tex]-4x^{2} - 4x + 8[/tex] is equal to zero than solve
*image below*
Hope it helps :)
Let me know if you have any questions or anymore help lmk, happy to help with any school work!!
We are give with the function:
[tex]{\quad \qquad \longrightarrow f(x)=\dfrac{x^{2}+x-12}{-4x^{2}-4x+8}}[/tex]
Vertical asymptotes are the points, where the function is not defined, so the denominator must be equal to 0 for making f(x) not defined
[tex]{:\implies \quad \sf -4x^{2}-4x+8=0}[/tex]
Dividing both sides by -4, we have;
[tex]{:\implies \quad \sf x^{2}+x-2=0}[/tex]
Can be further written as:
[tex]{:\implies \quad \sf x^{2}-x+2x-2=0}[/tex]
[tex]{:\implies \quad \sf x(x-1)+2(x-1)=0}[/tex]
[tex]{:\implies \quad \sf (x-1)(x+2)=0}[/tex]
Using zero product rule, Equating both multiplicants to 0, we have:
[tex]{:\implies \quad \boxed{\bf{x=1\quad or\quad -2}}}[/tex]
This is the required answer
What is the solution to the system of equations?
x-2y = 19
x + 3y = 14
(1.-17) (17.-1)
(-17, 1)
(-1.17)
Answer:
(17,-1)
Step-by-step explanation:
The solution in the image
Solve. x2+5x−10=0 Enter your answers, as exact values, in the boxes
.x = or x =
Answer:
x=1.531128874 or x=-6.531128874
Step-by-step explanation:
I will mark brainlist to whoever answers first
Answer:
its D
Step-by-step explanation:
i did the math ez
Answer:
C) ∠V , ∠U , ∠W
Step-by-step explanation:
The smallest angle is opposite to the smallest side.
Sides in ascending order: WU < VW < UV
Angles in ascending order: ∠V < ∠U < ∠WIf you blend 2 scoops of chocolate ice cream with 1 cup of milk, you get a milkshake with a stronger chocolate flavor than if you blended 3 scoops of chocolate ice cream with 2 cups of milk. Explain or show why.
Answer:
This is less chocolate ice cream per cup of milk than in the first mixture (2 scoops of chocolate ice cream per cup of milk), so the first mixture has stronger chocolate flavor. 2 scoops of chocolate ice cream with 1 cup of milk will taste the same as 4 scoops of chocolate ice cream with 2 cups of milk.
Step-by-step explanation:
Answer:
If you did 3 scoops of ice-cream and 2 cups of milk you would have 2times the amount of milk and only 1 1/2 times the amount of ice-cream then if you did 1 cup of milk and 2 scoops of ice-cream.
Step-by-step explanation:
To solve this question, we will have to use the aspect of mathematics that is referred to as rates or proportions.
In the first mix, what we have is that we are going to mix 2 scoops of chocolate ice cream with 1 cup of milk. What is noticeable here is that we have 2 scoops of chocolate per 1 cup of milk or there is a 2 to 1 ratio of chocolate ice cream to cup of milk.
Now in the second mix, we are mixing 3 scoops of chocolate with 2 scoops of milk. What we have here is a ratio of 3 to 2. This means that we are having a ratio of 1.5 to 1 of the number of scoops of chocolate ice cream to number of cups of milk.
Looking at this, we can deduce that a 2 to 1 ratio is a greater value compared to a 1.5 to 1 ratio. This is the reason why we are having a stronger chocolate flavor in the first mix than the chocolate flavor in the second mix
The cost $C$ (in dollars) of making a square window with a side length of $n$ inches is represented by $C=\frac{n^2}{5}+175$
. A window costs $355. What is the side length (in feet) of the window?
The side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.
What is a mathematical model?A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.
The cost (in dollars) of making a square window with a side length is C. the length of side of the window is n.
The model, which represent the cost of window in dollar, is,
C=(n²/5)+175
A window costs $355. Thus, C=355. Put this value in above model as,
355=(n²/5)+175
355-175=(n²/5)
180 x 5=n²
n=√(900)
n=30
Hence, the side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.
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Which of the following expressions represents three times the sum of p and 8?
A.
3p + 8
B.
3(p + 8)
C.
3(p - 8)
D.
8(p + 3)
Which is equivalent to cos-1(0)? give your answer in radians.
If cos90 is equivalent to zero, hence the cos inverse of 0 is 90 degrees which is equivalent to pi/2 in radians
Inverse of trigonometry functionInverse of a function are the opposite of the function. Given the inverse of cosine function as shown:
[tex]cos^{-1}x[/tex]
If x = 0, hence;
[tex]cos^{-1}{0[/tex]
If cos90 is equivalent to zero, hence the cos inverse of 0 is 90 degrees which is equivalent to pi/2 in radians
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What is the range for the set of data? 6, 7, 10, 12, 12, 13 11 7 6 13
Answer:
7
Step-by-step explanation:
the range is the difference between the highest and lowest value in a data set.
13 is the highest in the distribution
6 is the lowest in the distribution
13-6=7
Give brainliest, please!
Hope this helps :)
Compared to if she had bought no items on sale, by what percent was jan’s total grocery bill discounted? round to two decimal places. a. 15.85% b. 16.50% c. 16.65% d. 17.50%
The total percentage by which Jan's groceries were discounted is 16.65% approximately. (Option C). See the attached and the explanation below.
How was the total percentage discount arrived at?Step 1 - Reverse engineer, the figures to get the original prices first.
You can do this by dividing the discounted prices by the result that you get when you remove the decimal version of the discounted percentage from number one. For Chicken that would be 8.47/(1-0.85) = $9.96 (Original price.)Step 2 - Sum up all the discounted prices as well as the Original prices then find the difference.
This comes to 22.47 - 18.72 = $3.75Step 3 - Divide the difference by the original price to get the percentage difference
$3.75/$22.47 = 16.68% (Nearest answer is Option C)
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8. Use the compound-interest formula to find the account balance A, where P is principal, r is interest rate, n is number of compounding periods per year, t is time, in years, and A is account balance.
Answer:
Step-by-step explanation:
[tex]P = 56,150(1 + \frac{0.095}{4})^{ 4(2.5)[/tex]
≈ $71005
Find the ratio of the trig function indicated.
Answer:
[tex]\huge\boxed{\bf\:Ratio = 4:5}[/tex]
Step-by-step explanation:
We have a right angled triangle given.
At first, let's note that, sin θ = oppposite side of the triangle / hypotenuse of the triangle.
Now, in the given triangle, from the view of ∠θ,
Opposite side of the triangle = 8 Hypotenuse = 10Then,
[tex]\sin \theta = \mathrm{\frac{opposite \: side}{hypotenuse}}\\\sin\theta = \frac{8}{10}\\\sin\theta = \frac{4}{5}\\\\\\\Longrightarrow \boxed{\mathrm{Ratio = 4:5}}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
PLEASEEEEEE HELPPPPIE WELPIEEE
Answer:
A
Step-by-step explanation:
Answer:
The answer would be A. Hope this Helps! :)
Step-by-step explanation:
