Answer:
Cost of 1 CD = x = £3
Cost of 1 DVD = y = £7
Step-by-step explanation:
Let us represent:
Cost of 1 CD = x
Cost of 1 DVD = y
i. Form a pair of simultaneous equations to represent these two sentences
2 CDs and 9 DVDs cost £69.
2x + 9y = 69.... Equation 1
2 CDs and 6 DVDs cost £48.
2x + 6y = 48..... Equation 2
ii. Solve the simultaneous equations to find the cost of 1 CD and 1 DVD.
Combining both equations together:
2x + 9y = 69.... Equation 1
2x + 6y = 48..... Equation 2
We substract Equation 2 from Equation 1
3y = 21
y = £7
Solving for x using Equation 1
2x + 9y = 69.... Equation 1
2x + 9 × 7 = 69
2x + 63 = 69
Collect like terms
2x = 69 - 63
2x = 6
x = 6/2
x = £3
Therefore,
Cost of 1 CD = x = £3
Cost of 1 DVD = y = £7
3. If x and y vary directly, and x = 60 when y = 5, what is the value of у when x = 36 ?
Answer:
y = 3
Step-by-step explanation:
Use the direct variation equation, y = kx
Plug in 60 as x and 5 as y, and solve for k
y = kx
5 = k(60)
1/12 = k
So, the equation is y = 1/12x
Plug in 36 as x and solve for y
y = 1/12x
y = 1/12(36)
y = 3
So, when x = 36, y = 3
is this quadrilateral a parallelogram?If yes, state the definition or theorem that justifies your answer.
Answer:
no the quadrilateral isn't a parallelogram
Step-by-step explanation:
For it to be a parallelogram, the opposite sides must be parallel to each other and in this case it's not.
3 numbers are in arithmetic progression their sum is15 and their product is 80 determine the 3 numbers
Answer:
2, 5, 8
Step-by-step explanation:
For starters, let us assume that the numbers are x-d, x, and x+d.
Where d is the common difference between terms.
This mean that we can say, from the question
x-d + x + x+d = 15
3x = 15,
x = 5,
This means that the terms are 5, 5-d and 5+d.
On the other hand,
(5-d) * 5 * (5+d) = 80
(5-d) * (5+d) = 80/5
(5-d) * (5+d) = 16
25 - d² = 16
d² = 9
d = + or - 3.
Finally, the three numbers will be 2, 5, and 8. On the flipside, their sum and product are 15 and 80.
A fitness center charges $3 per visit plus a monthly fee of $30. How much would it cost in one month if Ella has 18 visits?
$48
$54
$84
$90
Answer:
84$
Step-by-step explanation:
It says it costs $3 per visit and Ella went 18 times
So we can describe that as x represents the times she has visited, x=18, so 3(18)
now we just add $30 dollars since she only went in one month and $30 is the fee per month so that would be (3*18=) 54+30
which would then give you $84 dollars!
hope it helps!!
Answer:
C.) $84
Step-by-step explanation:
mr jones is painting a wall in his office. he has enough paint to cover 104 square feet . the wall he is painting is 12 feet wide and 9 feet long. Does he have enough paint to cover the wall
Answer:
no
Step-by-step explanation:
9x12=108
108 square feet so not enough paint.
needs more paint that covers 4 square feet
At which of the given values is the graph discontinuous? will report if links is put as an answer.
Answer:
A
Step-by-step explanation:
Jump discontinuity
What is an
equation of the line that passes through the points (-3,-2) and (3,6)?
Answer:
y = 4/3x + 2
Step-by-step explanation:
y2 - y1/ x2 - x1
6 - (-2)/ 3 - (-3)
= 8 / 6
= 4/3
y = 4/3x + b
6 = 4/3(3) + b
6 = 4 + b
2 = b
Please help!
Jackie purchases 100 bracelets from a wholesaler at $10 each and the cost totals $1,000. If
Jackie does a markup of 40%, what will the markup amount be? What will the price of each
bracelet be?
Using proportions, it is found that:
The markup amount is of $400.The price of each bracelet is of $14.What is a proportion?A proportion is a fraction of a total amount.
In this problem, the markup is of 40% over an amount of $1000, hence:
0.4 x $1000 = $400.
Considering the markup, 100 bracelets will be sold for $1,400, hence, the price of each bracelet will be given by:
$1,400/100 = $14.
More can be learned about proportions at https://brainly.com/question/24372153
Is this correct? Answer if you know the answer and correct me if I am wrong.
Answer: Is correct trust me.
Step-by-step explanation:
Can anyone help me with this math please I will give brainlist
Answer:
4.5 > 4.420
0.67 < 0.8
0.82 = 0.820
62.4 > 6.24
0.13, 0.3, 0.303, 0.32
0.08, 0.8, 0.82, 8.2
24.54, 24.4, 24.304, 24.24
6.5, 6.25, 6.05, 6.007
Step-by-step explanation:
The most useful way to compare fractions is to add extra zeros at the end.
For example, 0.67 ___ 0.80.
0.80 is obviously bigger than 0.67.
In 24.4, 24.54, 24.304, 24.24, you can add extra zeros as well.
24.400, 24.540, 24.304, 24.240 (This makes it much easier to group the numbers, whether from largest to smallest or smallest to larger).
**REMEMBER TO REMOVE THOSE ZEROS AFTER FINDING YOUR FINAL ANSWER**
be smart and help me please i can’t fail again i will give branliest
Answer:
28%
Step-by-step explanation:
12+34+7=2856
Then, 2856/100 to get the percentage.
PLEASE HELP
Square tiles measuring 4 inch on each side will be used to tile a 1-foot by 1-foot area. How many of these tiles are needed?
Answer:9
Step-by-step explanation:
4 inches fits into 12 inches three times. Three rows multiplied by three columns equals 12.
Hope that helps!
what is 4 1/2 plus 6 2/5
Answer:
10.9
Step-by-step explanation:
4 1/2 plus 6 2/5=10.9
Answer: 10.9
Step-by-step explanation:
How does 0.07/2.8 equal the same answer as 7/280?
Answer:
4.065
Step-by-step explanation:
40.6 divide by 5 so answer is 4.065
Answer:
Step-by-step explanation:
0.07/2.8 = 0.025
7/280 = 0.025
Yes they are same because their answer is same
Nadia sells earthworms to fishermen. She charges 75 cents for a dozen worms. Yesterday she sold 48 worms. How much money did she make?
Answer:
I believe she sold 3 dollars
Step-by-step explanation:
if this helps please give me a crown
Answer:
$3.00
HOPE THIS HELPS :)
A coach records the ages of the players on two of her teams. Which statement about the ages of the students is true? A The range of ages is the same for both teams.The range of ages is the same for both teams. B The mode(s) of the ages is the same for both teams.The mode(s) of the ages is the same for both teams. C The mean age of the players on the volleyball team is less than the mean age of the players on the baseball team.The mean age of the players on the volleyball team is less than the mean age of the players on the baseball team. D The median age of the players on the volleyball team is greater than the median age of the players on the basketball team.
Answer:
Bro u need to put in the graph or the chart or something
Step-by-step explanation:
Help
Help
Help
Help. Help help help help help help help help
The difference of two numbers is 22 and their is 76 find the numbers
Answer:
27
Step-by-step explanation:
a 76 le quitas la diferencia de 22 y da 54 que lo divides entre 2 y da 27 por lo que 27+27=54+22=76
answer this and don’t answer if you are not smart
Answer:
60 degrees
Step-by-step explanation:
This is a complementary angle, so the equation to use is 30+x=90.
To find out what x is, we have to use the Subtraction Property of Equality.
30+x=90
-30 -30
x=60
Can someone plz help me find the missing side using sin or cos and rounding it to the nearest tenth
Answer:
65.73
Step-by-step explanation:
use the law of sines
a/Sin A = b /Sin B
36/sin 84 = 33/sin x
sin x = (33(sin 84))/36
x = 65.73
Vickie and Amy made $23.10 together selling cookies. Vickie made twice as much as Amy. How much did Vickie make? PLSS Help! giving brainliest!!
Answer:
amy made 5.775 while vickie made 17.325
Step-by-step explanation:
i dunno
in the figure below, all lines intersect at point M. what is the measure of
Answer:
m∠GML= 65°
Step-by-step explanation:
m∠GML= 180°-(m∠GMH+m∠HMI)
= 180°-(85°+30°)
=180°-115°
m∠GML= 65
--------------------------
hope it helps...
have a great day!!
If all lines intersect at point M then the measure of GML is 65 degrees
What is Coordinate Geometry?A coordinate geometry is a branch of geometry where the position of the points on the plane is defined with the help of an ordered pair of numbers also known as coordinates.
We know that the vertical angles are equal
And the sum of angles on a line are 180 degrees
So 85+30+x=180
115+x=180
Subtract 115 from both sides
x=180-115
=65 degrees
Hence, if all lines intersect at point M then the measure of GML is 65 degrees
To learn more on Coordinate Geometry click:
brainly.com/question/27326241
#SPJ2
Can you please help!!
1) Find the missing side. Give your
answer in simplest radical form.
Answer:
x = 4√5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Leg a = 8
Leg b = 4
Hypotenuse c = x
Step 2: Solve for x
Substitute in variables [Pythagorean Theorem]: 8² + 4² = x²Evaluate exponents: 64 + 16 = x²Add: 80 = x²[Equality Property] Square root both sides: √80 = xRewrite: x = √80Simplify: x = 4√5Nora needs 5 and 1/2 cups of flour for a cookie recipe she is making for a large party. So far she has scooped 1 1/2 cups and 1 3/4 cups of flour into her bowl. How many more cups of flour does she need?
HELP ME PLS
GIVING BRAINLIEST
Explanation:
The max is 2 ounces, as shown by the X mark at the very far right side. The min amount is 1 ounce, shown by the other endpoint. Subtracting the two leads to the range of max-min = 2-1 = 1 ounce. The range helps us determine how spread out the data set is.
Can I get help with this please?
simplify 3/x-1 + 1/x-2
Answer:
4-3x over x or 4-3x/x
I'm not sure. but I hope it can help you:))
help pls! I will mark u brainliest if its correct. but pls dont put one of those links.. ty
This is a rectangular prism,
Here length = 16 m
Width = 6 m
Height = 3 m
Surface area of rectangular prism = 2( bl + lh + hb )
Where,
b – base length of the rectangular prism.
l – base width of the rectangular prism.
h – height of the rectangular prism.
Putting these values, surface area = 2(16×6 + 16×3+ 3×6)
= 2( 96+48+18) = 2×162 = 324m
hope you get it well :)
Is y= x +4 a linear fraction or nonlinear fraction
Answer:
Linear as it would be a straight line.
Step-by-step explanation:
If you move up one and to the left one you would have a straight line touching the y-intercept 4.
Point c has the coordinate -7 and d has the coordinate 6 on a number line. What is the distance between c and d
Answer:
7
Step-by-step explanation:
