Answer:
x= number of songs bought
y= number of movies bought
1.75*x + 2.5*y = 45
x + y = 20
Step-by-step explanation:
Giving the following information:
Robert spent $45 buying songs and movies at an online store that charges 1.75 for each song and $2.50 for each movie he purchased a total of 20 songs and movies combined.
We need to establish a system of equations that represents this situation.
x= number of songs bought
y= number of movies bought
1.75*x + 2.5*y = 45
x + y = 20
Now, we can determine the x and y:
x= 20 - y
Substitute x:
1.75*(20 - y) + 2.5y = 45
35 - 1.75y + 2.5y = 45
0.75y = 10
y= 13
x= 20 - 13
x= 7
Prove:
1.75*7 + 2.5*13 = 45
7 + 13 = 20
Find the area of the shaded region. Round your answer to the nearest hundredth.
6 m
IT T
24 m
The area is about
square meters
The area of the shaded region in the circle to the nearest hundredth is 1695.60 meter squared.
Area of a circle
area = πr²
where
r = radius of the circleThe area of the shaded portion is the difference of the area of the large and small circle.
Therefore,
area of the large circle = πr²
area of the large circle = 3.14 × 24²
area of the large circle = 3.14 × 576
area of the large circle = 1808.64 m²
Therefore,
area of the small circle = 3.14 × 6²
area of the small circle = 3.14 × 36
area of the small circle = 113.04 m²
The area of the shaded region = 1808.64 - 113.04 = 1695.6 m²
learn more on area here: https://brainly.com/question/16761235
Solve the following inequalities and sketch a
graph of each solution.
a 7 - 2x 54
b 4r + 16x - 8
c-3x + 5 > 0
Answer:
Step-by-step explanation:
A= - 101
B = 4( r + 4x - 2 )
C = x < 5/3
I hope this helps. Best of luck.
confused with preimeter
To find the perimeter of a shape, you need to add up the measurements of all the sides to find it. I hope this helps. Let me know if you need some help with some perimeter problems :)
7. A location of a wall mural is being marked off as shown below.
2x + 1
3x + 5
Which expression represents the area covered by the wall mural?
please help asap !
Answer:
I know this answer won't help now but it's 6x2 + 13x + 5
which is C
Step-by-step explanation:
The expression represents the area covered by the wall mural is - [tex]6x^2+13x+5[/tex]
"Area"Given :
Dimensions are (2x + 1) and (3x + 5).
To find the area we multiply them.
Area=[tex](2x+1)(3x+5)\\
Area=6x^2+10x+3x+5\\
Area=6x^2+13x+5[/tex]
Learn more about "cosine":
: https://brainly.com/question/1594198
What is x in the equation 5^{3-2x} = 5^{-x}
A) x = 3
B) x = 1
C) x = -1
D) x = -3
Answer:
The answer is A) x equals 3
What does 6(4c-2) simplify as?
Help pleas
Step-by-step explanation:
[tex]\tt{ 6(4c-2) }[/tex]
[tex]\tt{ 24c-12 }[/tex]
Simplify (4/5)^-2. Show your work!
PLEASE HELP ASAP! 40 POINTS!
Answer: (16/25)
Step-by-step explanation: That's -(4/5) x -(4/5) = (16/25). It's that answer because a negative times a negative equals a positive. The exponent in the problem is telling you to multiply -4/5 times itself 2 times.
Please help 30 points
The number of lattes sold daily by two coffee shops is shown in the table.
Shop A Shop B
55 45
52 42
56 57
48 48
57 11
30 10
45 46
41 43
Based on these data, is it better to describe the centers of distribution in terms of the mean or the median? Explain.
Mean for both coffee shops because the data distribution is symmetric
Median for both coffee shops because the data distribution is not symmetric
Mean for shop B because the data distribution is symmetric; median for shop A because the data distribution is not symmetric
Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric
Answer: correct option is mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric
Step-by-step explanation:
According to the given data the correct statement is Mean for shop A because the data distribution is symmetric; median for shop B because the data distribution is not symmetric.
Note that the two values of Shop B (10 and 11) are alot lower than the other values.
Thus the correct option is Mean for shop A and Median for shop B.
what expression is equivalent to 2m (32m + 1) + 3 (53 - 2)
Answer:
64m2+2m+255
Step-by-step explanation:
Austin Moore has been working in a factory for 28 years. He is preparing to retire. His pension is calculated on the average of his last 3 years’ salaries where he earned $48,592, $47,590, and $47,710. His employer will give him 1.8% of that average for each year he worked. Calculate his pension.
Answer:24,173.856
Step-by-step explanation: you calculate the average of the last 3 years then find 1.8% of that number and then multiple by 28 years to find his total pension
Answer:
★ The answer is 24,173.856
Step-by-step explanation:
Hope you have a great day
Calculate the volume of the following shape.
8cm
20cm

Answer:
Volume of Cylinder =
[tex]\pi {r}^{2} h[/tex]
So :
Step-by-step explanation:
[tex]volume = 3.14 \times ( {8}^{2} ) \times 20 = 3.14 \times 64 \times 20 = 4019.2[/tex]
Answer:
Volume = 4021.24 cm ^3
Step-by-step explanation:
V = πr2h = π·82·20 = 4021.2386 cm ^3
Here is a Floor plan of a house. What is the approximate area of the home, including the balcony? Explain/show your thinking.
Answer:
it is easy figure it out
Step-by-step explanation:
Write a parallel lines and perpendicular lines in the given figure .
Answer:
parrallel lines : p and q, a and b,j and k | perpendicular lines : p and a, q and a, p and b, q and b
Step-by-step explanation:
Parallel lines are lines that can go on and on forever, and never meet !
Perpendicular lines are two lines meet at a 90° angle,, to form a right angle !
How many 3 or 8 are in 5 over 4
Please help
Answer:
[tex]3 \frac{1}{3}[/tex]
Hope this helps.
Step-by-step explanation:
five more than three times a number is 26 what is the number
Answer:
The required number is 7
Step-by-step explanation:
Let a number = x
We are given the condition: five more than three times a number is 26
We need to find the number.
Writing the condition in mathematical form:
five more than three times a number is 26: [tex]3x+5=26[/tex]
Now, solving this equation we can find x, the number
[tex]3x+5=26\\[/tex]
Subtract 5 from both sides
[tex]3x+5-5=26-5\\3x=21[/tex]
Divide both sides by 3
[tex]\frac{3x}{3}=\frac{21}{3}\\x=7[/tex]
So, we get: x = 7
The required number is 7
What is the probability that a number selected from the numbers (1, 2, 3,........,15) is a
multiple of 4?
Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?
Answer:
Options A, B, C and D
Step-by-step explanation:
This question is not complete; here is the complete question.
Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?
A. 24
B. 36
C. 180
D. 240
E. 1656
Cost of one candy = 69 cents
Since, cost of 24 candies = Cost of one candy × Number of candies
= 69 × 24
For partial product,
69 × 24 = (60 + 9)(20 + 4)
= 60(20 + 4) + 9(20 + 4)
= 60×20 + 60×4 + 9×20 + 9×4
= 1200 + 240 + 180 + 36
= 1656
Therefore, Options A, B, C and D are not possible partial products.
CAN SOMEONE PLEASE HELP ME???!!!
Answer:
D. The graph has a positive rate of change
Step-by-step explanation:
The graph's slope, or rate of change, is positive, which means that D is your answer.
Solve k−7≤0. Graph the solution
Answer:
k ≤ 7
Step-by-step explanation:
ZHFJ is complementary with which other angle?
A349
Ав
56°
689
34° ]
124°
ZDEC
ZAEB
ZGFH
ZBEC
Answer:
BEC°
Step-by-step explanation:
complementary means "to add up to 90°"
90° - 34° = 56°
the Z confused me for a bit, then figured out you tried to type in the angle sign.
What is the answer of this q ❓
Answer:
68Step-by-step explanation:
lets mijdkdefbdhnrr
5 cm 2 cm 2 cm 5 cm What is the perimeter of the shape?
Answer:
14 cm
All you have to do is add the four sides up and you're good to go! :)
Answer:
The answer is 14
Step-by-step explanation:
perimeter - means to add . You add all the sides
area - means multiplication . You multiply the two numbers on the bottom so for an example is this was area the answer would've been (A-10)
you answered 6 out of 11 questions on your test. what is your score?
Answer:
54
Step-by-step explanation:
.......................
Answer:
54
Step-by-step explanation:
Identify the function graphed.
Answer:
its B, A, C
Step-by-step explanation:
correct on edge
Find the x- and y-intercepts of 4x-9y=-12
1/4 of ... is 1/5
What is the ...
Answer:
4/5
Step-by-step explanation:
Just multiply 1/5 times 4, because that's the reciprocal of 1/4
Help me find the measure of each numbered angle please!
Answer:
Hope this helps
Step-by-step explanation:
yo I need help asap would really appreciate, solve photo attached please also pls tell me how you did it
Answer:
The average rate of change is 4.
Step-by-step explanation:
Average rate of change is simply a fancy way of saying "find the slope".
So for slope, we use (y2-y1)/(x2-x1).
(3-(-13))/(2-(-2))
16/4
4
In a school, 2/3 of the students study a language.
Of those who study a language 2/5 study French
Find the ratio of students who study French to students who do not study French.
Give your answer in its simplest form.
Answer:
4 : 11
Step-by-step explanation:
Given that:
Fraction of language students = 2/3
Number of students who study French :
2/5 of 2/3
2/5 * 2/3 = 4 /15
Those who do not study French :
Total fraction of entire student :
1 - 4/ 15
(15 - 4) / 15
11/15
Ratio of French to non-french
4/15 : 11/15
4/15 ÷ 11/15
4/15 * 15/ 11
4 / 11
4 : 11
The points A, B and C have position vectors OA = 6,2, OB = 3,4 and OC = 12, -2 respectively.
Express the vector:
a) BA
b) BC
Answer:(a) BA = (-3,2) (b) BC = (-9,6)
Step-by-step explanation: (a) Vector BA = position vector of B - position vector of A = vector OB - vector OA = (3-6) i + (4-2) j = -3i+2j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-3,2). (b) Vector BC = position vector of B - position vector of C = vector OB - vector OC = (3-12) i + (4-(-2)) j = -9i+6j [i, j are unit vectors along x and y-axis respectively]. Also vector BA=(-9,6).
