Answer:
Step-by-step explanation:
Solving system of symultaneous equation:
Let the cost of one roll of plain wrapping pair = x
Let the cost of one shiny wrapping paper = y
Amanda:
Cost of 3 rolls of plain paper + cost of 3 rolls of shiny paper = $ 60
3*x + 3*y = 60
3x + 3y = 60 ------------------(I)
Molly:
Cost of 1 roll of plain paper + cost of 9 rolls of shiny paper = $ 132
x + 9y = 132 ---------------------(II)
x = 132 - 9y ---------------(III)
Substitute x = 132 -9y in equation (I)
3*(132-9y) + 3y = 60
3*132 - 3*9y + 3y = 60
396 - 27y + 3y = 60
Combine like terms
396 - 24y = 60
Subtract 396 from both sides
-24y = 60 - 396
-24y = -336
Divide both sides by (-24)
y = -336/(-24)
[tex]\sf \boxed{y=14}[/tex]
Now, substitue y = 14 in equation (III)
x = 132 - 9*14
= 132 - 126
[tex]\sf \boxed{x = 6}[/tex]
cost of one roll of plain wrapping paper = $ 6
Cost of one roll of shiny wrapping paper = $ 14
Explain what the acronym PEMDAS means and how you use it when evaluating expressions.
. Mrs. Rojas deposited $8000 into an account paying 4% interest annually. After 8 months Mrs. Rojas withdrew the $6000 plus interest. Altogether, how much money did Mrs. Rojas withdraw? What fraction of a year's interest was earned? 760
well, keeping in mind that a year has 12 months, that means that 8 months is 8/12 of a year, when Mrs Rojas pull her money out.
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\to \frac{8}{12}\dotfill &\frac{2}{3} \end{cases} \\\\\\ A=6000[1+(0.04)(\frac{2}{3})]\implies A=6000\left( \frac{77}{75} \right)\implies A=6160[/tex]
well, she put in 6000 bucks, got back 160 extra, that's the interest earned in the 8 months.
what if she had left her money for 1 whole year, then
[tex]~~~~~~ \textit{Simple Interest Earned Amount} \\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$6000\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &1 \end{cases} \\\\\\ A=6000[1+(0.04)(1)]\implies A=6240[/tex]
so had she left it in for a year, she'd have gotten 6240, namely 240 in interest, well, what fraction of a year's interest was earned? or worded differently, what fraction is 160(8 months) of 240(1 year)?
[tex]\cfrac{\stackrel{\textit{for 8 months}}{160}}{\underset{\textit{for 12 months}}{240}}\implies \cfrac{2}{3}[/tex]
A square is a polygon, so all polygon are squares true or false
Answer:
false
Step-by-step explanation:
polygons have more then 3 sides and are enclosed figures such as a pentagon may be classified as a polygon.
A population of 50 timber wolves was introduced into a forest in 2009. The population is expected to grow by the function p(t)=50e. 85t, where t is in years.
a) What will be the population in 2015? Show your work
Answer:
The population is expected to grow by the function p(t)=50e.85t, where t is in years.a) What will be the population in 2015?
Step-by-step explanation:
LES
Algebra 1 -Mock EOC
COUNT
3. Melissa and John get a combined monthly allowance of $300. Melissa's monthly allowance is
$20 more than half of John's monthly allowance. If x represents John's allowance, in dollars, which
equation is true?
A. x- (0.5x+20) = 300
B. x + (20+0.5x) = 300
C. x + 300=0.5x + 20
D. x + (0.5x20) = 300
Answer:
B. x-(0.5x+20)=300
Step-by-step explanation:
Because you add 20 to half of John's monthly allowance, and 0.5x is saying John's allowance divided by 2. Then you have Melissa's allowance, which then you add to John's allowance to get the total of $300 combined.
The equation that describes the situation would be; A. x-(0.5x+20)=300
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
We are given that Melissa and John get a combined monthly allowance of $300. Melissa's monthly allowance is $20 more than half of John's monthly allowance.
When x represents John's allowance, in dollars
Since we add 20 to half of John's monthly allowance, 0.5x is saying John's allowance is divided by 2.
Now we have Melissa's allowance, which then adds to John's allowance to get a total of $300 combined.
The equation becomes as;
x-(0.5x+20)=300
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If the solution to a linear system of equations is x=6 and y= 2 and you graphed the two equations, where would the two lines intersect? How do you know?
This is simply because the x coordinate is 6 and the y coordinate is 2.
The line x = 6 is a vertical line in which all points on it have an x coordinate of 6. It goes through 6 on the x axis.
The line y = 2 is horizontal where all points on it have a y coordinate of 2.
The vertical and horizontal lines intersect at (6,2)
Please help with this math problem!
Answer:
1st eq ans = (x-2) by (x+6) (x-1)
2nd eq ans = x by (x+6) (x+2)
What is the slope of the line that passes through the points (1,−7) and ( − 2 , − 7 )? Write your answer in simplest form.
By definition, the slope or gradient of a line describes its steepness, incline, or grade.
Slope (m) = ΔY/ΔX= 0
ΔX = 2 – 1 = 1
ΔY = -7 – -7 = 0
Equation of the line:
y = 0x – 7
When x=0, y = -7
Determine the interval(s) on which the given function is decreasing.
Polynomial going up from the left and passing through the point negative 1 comma 0 and going to a relative maximum at the point 0 comma 5 and then going down to a relative minimum at the point 1 comma 4 and then going up to the right
(–∞, –1) ∪ (1, ∞)
(–1, ∞)
(–∞, 0) ∪ (1, ∞)
(0, 1)
Answer:
(d) (0, 1)
Step-by-step explanation:
The function is "decreasing" where it is "going down."
Your problem statement describes the decreasing interval as being between the relative maximum at (0, 5) and the relative minimum at (1, 4).
The interval of decrease is (0, 1).
1. Let f =( (1,2) ,(2,3) ,(2,3), (5,6), (7,8) )
a.find domain and range of f
b.evaluate f (2) and f (5)
Step-by-step explanation:
Domain=1,2,5,7
Range=2,3,6,8
f(2)=3
f(5)=6
Explain how you can know whether a system of linear equations will have no solution.
A system of linear equations has one solution when the graphs intersect at a point. No solution. A system of linear equations has no solution when the graphs are parallel.
write in arithmetic series in summation notation
6+12+18+24+30
Edulastic
Full explanation please
*will give brainlist if able to :)
Answer:
50 degrees
Step-by-step explanation:
If AB is congruent to BC, then angles BAC and BCA are congruent.
Angle DCB+ angle BCA= 180 degrees
180 degrees- 115 degrees= 65 degrees
It means that angles BCA and BAC (which are congruent) are equal 65 degrees.
Sum of angles i side a triangle is 180 degrees so:
180 degrees- 2*65 degrees= 180 degrees- 130 degrees= 50 degrees
The angle ABC is equal to 50 degrees.
What is the length of the missing leg? If necessary, round to the nearest tenth
For all x, (2x + 1)^2= ?
Answer:not sure but it’s either a b c d e maybe don’t hold me to that
Step-by-step explanation:♀️♂️♀️♂️♀️♂️♂️♀️♀️
Answer: hii :)
E. 4x2+4x+1
Step-by-step explanation:
Expand the expression.
Hopefully this helps you!
- Matthew
please help me with this graphing worksheet
Answer:
240
Step-by-step explanation:
Suppose that the heights of 4-year old boys are normally distributed with a mean of 103cm and a standard deviation of 4. 5. Half of all 4-year olds are shorter than:
Answer:
103 cm
Step-by-step explanation:
Half are above and half are below the mean
Can anyone help me out??
A researcher is working with two variables measured at the interval level. Which statistical tool should the researcher use
The researcher should use regression analysis, as a statistical tool, because the researcher is working with two variables measured.
Regression analysis
Regression analysis is the most widely used statistical tool that can be used to find out the relation between a set of variables. Thus, from its results, it is possible to analyze the trend or make predictions. In a regression analysis, it is considered the relationships between two or more variables and it is very similar to correlation.
Like the researcher is working with two variables measured at the interval level. The researcher should use regression analysis.
Read more about the regression analysis here:
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Find the cost of 20cm at 75 per m
Answer:
20cm = 0.2 m
The cost
= 0.2 x 75
= $15
Emma is an artist and has created 7 paintings. She plans to paint 3 additional paintings each week. What statements are true of this scenario? Check all that apply.
Answer:
The dependent variable is the total number of paintings; The total number of paintings depends on the number of weeks that have passed; and This scenario is a function because for each week that passes, there will be exactly one total number of paintings.
Step-by-step explanation:
Use the answer to "check all that apply"
What is the area of the composite figure?
Will mark brainlyest!!
Answer:
(a) 88 m²
Step-by-step explanation:
The area of a composite figure can be found by decomposing it into figures whose areas are easy to calculate. This figure can be decomposed any of several ways (as is often the case).
Drawing a vertical line down from the top-edge vertex, we can divide the figure into a trapezoid on the left and a rectangle on the right.
__
TrapezoidThe trapezoid will have (vertical) bases of 4 m and 6 m, and a height of (16-8) = 8 m. Its area is ...
A = 1/2(b1 +b2)h = 1/2(4 +6)(8) = 40 m²
RectangleThe rectangle on the right is 8 m wide and 6 m high, so its area is ...
A = LW = (8 m)(6 m) = 48 m²
TotalThe total area is ...
trapezoid area + rectangle area = 40 m² +48 m² = 88 m²
The area of the composite figure is 88 m².
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
B
Step-by-step explanation:
subtract 4 from 9 to get 5 and then since both fractions have 12 on bottom, you can subtract 3 form 7 to get 4
since 4*3 is 12, you can factor 12 to become 3 and 4 becomes 1
Can you see a hypercube?
Answer:
you would use your eyes
Step-by-step explanation:
There is no other way to see a hypercube. this question does not even make sense, lol.
Sydney took a trip to a relative’s house for Thanksgiving. She drove 65 miles per hour for 1. 5 hours and 55 miles per hour for 3. 5 hours. What was the total distance in miles that she traveled during this time?
Answer: 290 miles
Step-by-step explanation:
Distance = speed × time
(65 × 1.5) + ( 55 × 3.5)
97.5 + 192.5
Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
Lamar is comparing the cost of a fresh lobster dinner at two different restaurants. The first restaurant charges $35 for the meal, plus $4 per kilogram for the lobster he picks. At the second restaurant, Lamar would pay $3 per kilogram for the lobster, in addition to $44 for the meal. Lamar realizes that, in theory, dinner at both restaurants could cost the same amount if the lobster had a certain weight. How much would Lamar pay for his dinner? What is the weight?
Dinner would cost $__ at either restaurant if Lamar's lobster weighed __ kilograms.
Answer:
The weight : 9 pound
Lamar would pay for his dinner : $71
Step-by-step explanation:
Let x represent the weight of the lobster
the cost of the dinner at restaurant 1 is 4x + 35
the cost of the dinner at restaurant 2 is 3x + 44
Now ,we have to solve the equation :
4x + 35 = 3x + 44
-3x - 35 -3x - 35 -> trying to get all x terms on one side. other just #
4x - 3x = 44 - 35
⇔ 1x = 9
⇔ x = 9
In this case Lamar would pay the same amount for his dinner at any restaurant:
the price = 4×(9)+35 = 71
= 3×(9)+44 = 71.
Hope this helps, Let me know if you have any question/concerns !
Have a nice rest of your day :)
What’s the answer to this problem?
Answer:
Step-by-step explanation:
LA (Lateral area) = P (perimeter of the base) x h (distance between bases)
LA = 3 x 2
LA = 6
SA (surface area) = LA (Lateral area) + (2 x B (Area of the base))
SA = 6 + (2 x 0.25)
SA = 6.5m²
Answer:
7
Step-by-step explanation:
if you imagine the shape in your head, there would be 3 rectangles and 2 triangles.
so if you want the surface area of the entire shape, you have to add the areas of each of these sides
the area of 1 triangle is (1*1)/2 = 0.5
the area of 1 rectangle is more complicated:
you would have to work out the rectangles height, which is the hypotenuse of the triangle. so you use Pythagoras, and you get 1 (if you don't know how to do this search up Pythagoras theorem)
so now you can get the area of the rectangle: 1*2 = 2
3 rectangles : 2*3 = 6
2 triangles : 0.5 * 2 = 1
6+1 = 7
tbh I'm not sure if you need to do all of this since it does say "estimate" but I'm not sure how you would estimate it.
What is the sine ratio b2
keeping in mind that a rhombus is also a parallelogram, namely a quadrilateral with parallel opposite sides, however, a rhombus sides are all the same length, and its diagonals meet at right-angles, Check the picture below.
The ratio of the required trigonometric function sin b₂° as per the given measurement of the quadrilateral is equal to 39/ 50.
Let us consider quadrilateral ABCD be rhombus.
Using the properties of the rhombus,
All the sides are congruent to each other.
Here, AB = 5 cm
This implies,
AB = BC = CD = AD = 5 cm
And Intersection of the diagonal is point 'O'.
In rhombus diagonals bisects each other at 90 degrees.
Measure of angle BOC = 90 degrees.
Triangle BOC is right angled triangle.
OC = 3.9 cm
sin b₂° = opposite side / hypotenuse
= OC / BC
= 3.9 / 5
= 0.78
= 78 / 100
= 39 / 50
Therefore, the ratio of the function sin b₂° is equal to 39 / 50.
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pls help!!!!!!!
20-27
Answer:
The probabilities would be 4/11 and 7/11 respectively.
Step-by-step explanation:
1) Total length of the given word i.e. Mathematics = 11
2) Number of vowels in the given word = 4 i.e. a,e,a,i
3) Number of consonants in the given word = 7 i.e. m,t,h,m,t,c,s
4) The probability of choosing a vowel would be 4/11 = 0.3636..
5) The probability of choosing a consonant would be 7/11 = 0.6363...
Step-by-step explanation:
Joe's Gym charges $20 per month with a $60 membership fee. Kim’s gym
charges an initial fee of $45 and $25 per month. Which a cheaper for 1
year?
How much cheaper?
Answer: Kim's gym
Step-by-step explanation:
$60 + $20 = $80$45 + $25 = $70