Answer:
Part a) The number of boxes needed will be 4
part b) The fraction of the box that is empty is [tex]\frac{1}{2}[/tex]
Part c) Are needed 2 cupcakes to fill the last box
Step-by-step explanation:
Part a) How many boxes will be needed for Polly to bring all the cupcakes to the party?
To find out the number of boxes needed, divide the total number of cupcakes by 4 (maximum number of cupcakes that fit in each box).
so
[tex]\frac{14}{4}=3.5\ box[/tex]
Round up
The number of boxes needed will be 4
Part b) If the bakery completely fills as many boxes as possible, what fraction of the last box is empty?
we know that
The maximum number of cupcakes per box is 4
The first three boxes have 4 cupcakes
The last box has
[tex]14-3(4)=2\ cupcakes[/tex]
The fraction of the box that is empty is equal to the number of cupcakes missing to fill the box divided by the cupcake capacity of the box
[tex]\frac{2}{4}=\frac{1}{2}[/tex]
Part c) How many more cupcakes are needed to fill this box
Subtract the number of cupcakes in the box from the cupcake capacity of the box
The last box has 2 cupcakes
The cupcake capacity of the box is 4
so
[tex]4-2=2\ cupcakes[/tex]
therefore
Are needed 2 cupcakes to fill the last box
dachelle does pushups every morning. she does 3 sets of pushups, 7 days a week. How many pushups does dachelle do in one week?
Answer:
21
Step-by-step explanation:
If she does 3 pushups every morning, than you need to multiply 3x7
3 sets of 8 pushups a day (can't forget that information!! its critical the the problem!!!) 7 days a week
3*8 = 24
24*7 = 168
168 pushups a week
[tex]y = \frac{1}{2} + \frac{w}{3} [/tex]
express w in terms of y
Answer: [tex]\bold{w=\dfrac{6y-3}{2}}[/tex]
Step-by-step explanation:
Isolate w by performing the following steps
Multiply by 6 on both sides to clear the denominatorSubtract 3 from both sidesDivide both sides by 2[tex]y=\dfrac{1}{2}+\dfrac{w}{3}\\\\\\6\bigg[y=\dfrac{1}{2}+\dfrac{w}{3}\bigg]\quad \implies \quad 6y=3+2w\\\\\\6y-3=3-3+2w\quad \implies \quad 6y-3=2w\\\\\\\dfrac{6y-3}{2}=\dfrac{2w}{2}\quad \implies \quad \large\boxed{\dfrac{6y-3}{2}=w}[/tex]
Polygon ABCD is translated to create polygon A'B'CD'. Point A is located at(1,
5), and point A'is located at (-2, 3). Which expression defines the
transformation of any point (x, y) to (x,y) on the polygons?
x'= x-3
y'= y - 2
X'=x-2
y'=y-3
Ox'= x-1
y'=y-8
x = x + 3
y = y'+2
Answer:
the answer is
x′ = x − 3
y′ = y − 2
Step-by-step explanation:
Answer:
x′ = x − 3
y′ = y − 2
Sample Answer for Edmentum and Plato users
Like and Rate!
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times the measure of the first angle. The third angle is 16 more than the second. Let x, y, and z represent the measures of the first, second, and third angles, respectively. Find the measures of the three angles.
X measures 30°, Y measures 67°, and Z measures 83°.
Since the sum of the measures of the angles of a triangle is 180, and the sum of the measures of the second and third angles is five times the measure of the first angle, and the third angle is 16 more than the second, for find the measures of the three angles, the following calculation must be performed, posing linear equations:
X + Y + Z = 180 Y + Z = 5X Z = Y + 16
X + 5X = 180 6X = 180 X = 180/6 X = 30
Y + Y + 16 = 5 x 30 2Y + 16 = 150 2Y = 150 - 16 Y = 134/2 Y = 67
Z = 67 + 16 Z = 83
Therefore, X measures 30 °, Y measures 67 °, and Z measures 83 °.
Learn more in https://brainly.com/question/15161714
Let x, y, and z represent the measures of the first, second, and third angles of the triangle. We can create a system of equations to find the values of x, y, and z. Solving this system, we find that x = 28, y = 32, and z = 48.
Explanation:Let's use x, y, and z to represent the measures of the first, second, and third angles, respectively.
The sum of the measures of the second and third angles is five times the measure of the first angle, so we have the equation y + z = 5x.
The third angle is 16 more than the second, so z = y + 16.
Since the sum of the measures of the angles of a triangle is 180, we have the equation x + y + z = 180.
Now we can solve these equations to find the measures of the three angles.
Substituting z = y + 16 into the equation y + z = 5x, we get y + y + 16 = 5x, which simplifies to 2y + 16 = 5x.
Substituting z = y + 16 into the equation x + y + z = 180, we get x + y + y + 16 = 180, which simplifies to x + 2y + 16 = 180.
Now we have a system of equations:
2y + 16 = 5x
x + 2y + 16 = 180
Solving this system, we find that x = 28, y = 32, and z = 48.
Learn more about Triangle angles#SPJ3
What is the solution to 2(3x + 6) = 3(2x - 6)?
Answer:
The statement is false. 12 ≠ -18
Step-by-step explanation:
2(3x + 6) = 3(2x - 6)
6x + 12 = 6x - 18
-6x -6x
12 ≠ -18
The graph shows how the length of Julia's essay depends on the number of hours she spends writing. Write an equation that relates the total pages written (y) to the number of hours spent writing (x). Answer format: y=kx k must be written in the format 0.10 *
Answer:
Step-by-step explanation: Would the answer be y=0.80x because the x=10 and y=8??
Answer:
[tex]y=0.80x[/tex]
Step-by-step explanation:
Let x represent number of hours spent writing and y represent total pages written.
We have been given a graph that represents how the length of Julia's essay depends on the number of hours she spends writing.
First of all, we will find slope of the line using point (0,0) and (5,4).
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{4-0}{5-0}[/tex]
[tex]m=\frac{4}{5}[/tex]
[tex]m=0.80[/tex]
Now, we will substitute the slope in the slope-intercept form of equation [tex]y=mx+b[/tex], where,
m = Slope,
b = The y-intercept.
We can see that y-intercept is 0.
Therefore, our required equation would be [tex]y=0.80x[/tex].
What is the value of a in the equation 3 a plus b equals 54, when b equals 9?
Answer:
a = 15
Step-by-step explanation:
Given
3a + b = 54 ← substitute b = 9
3a + 9 = 54 ( subtract 9 from both sides )
3a = 45 ( divide both sides by 3 )
a = 15
An equation is formed when two equal expressions. The value of a in the equation 3a+b=54, when b equals 9 is 15.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given statement "3 a plus b equals 54" in terms of the equation can be written as,
3a + b = 54
Given an equation 3a+b=54. Also, the value of b in the given equation is 9. Therefore, the value of a in the given equation can be written as,
3a + 9 = 54
Subtract 9 from both sides of the equation,
3a + 9 - 9 = 54 - 9
3a = 45
Divide both the sides of the equation by a,
3a/3 = 45/3
a = 15
Hence, the value of a in the equation 3a+b=54, when b equals 9 is 15.
Learn more about Equation:
https://brainly.com/question/2263981
#SPJ6
8. Which animal is closest to sea level?
Shark -7
Sea Lion -10
Seagull 24
Turtle -6
Turtle is closest to the sea level.
What is number line ?In which horizontal straight line, we represent integer numbers from low value to high, from left to right, is called number line.
Zero is in the middle of that line.
If we consider the number line, then in the left side of zero, we have all the negative values, where .... < -5< -4< -3< -2< -1< 0
And in the right side of zero, we have all the positive values, where 0<1<2<3<4<5 and so on....
Which animal is closest to sea level ?We know that, Level zero is called the sea level.
So, if we assume number line in vertical way, then the zero will be the sea level.
Here, if we arrange levels of animals from low to high, we get,
Sea lion(-10)<Shark(-7)<Turtle(-6)<0 <Seagull(+24)
We see that, zero is in between -6 & 24
The distance between 0 & -6 is 6 units whereas between 0 & 24 is 24 units.
So, Turtle is closest to sea level.
Learn more about number line here :
https://brainly.com/question/12399107
#SPJ2
Sea Lion has the lowest value indicating its proximity to sea level. Hence, the correct option is second.
Sea Lion is the animal closest to sea level with a value of -10. This means it is approximately 10 meters below sea level. In comparison, the Shark has a value of -7, the Turtle has a value of -6, and the Seagull has a value of 24, making the Sea Lion the closest to sea level.
Evaluate the expression. 7⋅4+6−12÷4
The brain has been shut down, send help.
Answer:
4 is the answer
Step-by-step explanation:
Parenthesis
Exponents
Multiply
Division
Add
Subtract
or PEMDAS
Find Each Difference 125 - ( -114 )
Answer:
125-(-114)=239
Step-by-step explanation:
Change the subtraction to addition and change the negative in the second number to a positive (it's the opposite). Then add them. 125+114=239
CAN EXPLAIN FURTHER
simplify
[tex]3 (3w - 4x) + \frac{25x - 5}{ 5 } [/tex]
Answer:
9w−7x−1
Step-by-step explanation:
Simplify the expression.
Help me thank you!!!!
Answer:
Step-by-step explanation:
<1 = <5 Corresponding angles.
<5 + <6 = 180° Angles making up the same straight line are supplementary.
<1 + <6 = 180° <1 and <5 are equal.
<6 = 180° - <1 If we know <1 we can easily find six. It is <1s supplement.
If my bill is $160 and they’re going to takeoff 25% of the total bill how much money will I give them
$40 will be taken off the bill and you will be paying a total of $120.
Multiply 160 by .25 to find the amount taken off ($40), and then subtract from the total to find the amount that you will be paying ($120).
Have a great day!
Answer:
You will pay $120
Step-by-step explanation:
There are many methods in solving this percentage equation, but this is by far my favorite. Here is how it works.
1.Take 160, the original amount. 160
2.Then take the percent amount .25
and convert into decimal. ---------------------
3. Multiply the numbers 40.00
4. Subtract the product from 160
original amount, 160. - 40
--------------------
$120
That is how I would get my answer. I am very sorry if the formatting messes up, but it is this basic problem: 160*.25=40.00 then 160-40=120
Andrew rounded the number 672 726 to the nearest hundred thousand he wrote 672 000 find and correct his mistake
Answer:700000
Step-by-step explanation:
The number of zeros for hundred thousand is five .Thus100,000
So you start by counting the zeros from the right hand side of the figure 672000 to the left till your counting reach 5.
So wen you get to the fifth zero check the number that it falls on . Thus 7 will be that number,And since it's greater than 5 you add 1 to the prefix of the 7 which is 6 to be become 6+1=7 , hence the answer is 700000 to the nearest hundred thousand.
Answer:
700 000
Step-by-step explanation:
Andrew rounded the number 672 726 to the nearest hundred thousand.
Hth TH Th H T O
↓ ↓ ↓ ↓ ↓ ↓
6 7 2 7 2 6
now round the number to nearest hundred thousand.
hundred thousand digit in 672726 is 7
If rounding number is greater than equal to 5 then next number increase by 1.
If rounding number is less than 5 then next number does not change.
here rounding number is 7 > 5
So, next digit 6 change to 7
Rounded number = 700 000
672 726 → 700 000
Andrew did
672 726 → 672 000
Mistake: Rounded to thousand instead of hundred thousand
Correct rounded number = 700 000
How do fraction tiles help me subtract unlike fractions?
Answer:
Step-by-step explanation:
They let you see how one fraction compares to another for one. Say you had 2/5 and 3/7 it may be tricky to tell which is bigger, but having the tiles will let you see that 3/7 is slightly bigger. And there are many many more complicated examples. So if you know which is bigger you will know subtracting the smaller one will keep it positive, while if you subtract the larger from the smaller one it will be negative.
Also, you can then find equivalent tiles. In the example I gave you would be able to see 2/5 = 14/35 and 3/7 = 15/35. Which are like fractions you can subtract simply.
Final answer:
Fraction tiles are a useful tool for subtracting unlike fractions by helping you visualize the process and find a common denominator, making the subtraction of different sized pieces understandable and accurate.
Explanation:
Fraction tiles are a visual and intuitive tool to help you understand how to subtract unlike fractions. When subtracting fractions with different denominators (unlike fractions), you cannot simply subtract the numerators because they represent different sized pieces. Fraction tiles help by providing a visual representation of different fractions and showing how they can be combined or separated into equivalent amounts with a common denominator.
To subtract unlike fractions effectively using your intuition and fraction tiles, first make sure that each fraction is represented by tiles that are all of the same size, which represent the common denominator. Once you have the common denominator for both fractions, you can easily remove the number of tiles corresponding to the smaller fraction from the larger one. The remaining tiles will show you the difference between the two fractions.
This approach will guide you in constructing the right rules for subtraction. Remember, the denominators in a fraction tell us how many equal parts the whole is divided into, while the numerators tell us how many parts we have. By using fraction tiles and aligning them to a common denominator, our intuition helps us understand the process mathematically, giving us confidence in the rules of subtracting fractions.
URGENT: WILL MARK BRAINLIEST
Use a table to compress the function y = f(x) vertically by a factor of 1/4. Identify the graph of the function and its transformation.
Answer:
I think its A because with B and C your reflecting it across the y-axis and its asking to reflect it over the x-axis while D, is a reflection and a translation
Hope I helped :)
One line passes through the points (-6,0) and (-4,6) another line passes through the points (5,-2) and (8,7)
Is it parallel , perpendicular , or neither
Answer:
Parallel
Step-by-step explanation:
-y₁ + y₂\-x₁ + x₂ = m
[tex] \frac{2 + 7}{ -5 + 8} = \frac{9}{3} = 3[/tex]
[tex] \frac{0 + 6}{6 - 4} = \frac{6}{2} = 3[/tex]
Both rate of changes [slopes] result in three, therefore both lines are parallel.
I am joyous to assist you anytime.
Lines can be parallel, perpendicular or neither
Both lines are neither perpendicular nor parallel
The first line passes through (-6,0) and (-4,6)
The slope (m1) of the first line is:
[tex]m_1 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m_1 = \frac{6-0}{-4--6}[/tex]
[tex]m_1 = \frac{6}{2}[/tex]
[tex]m_1 = 3[/tex]
The second line passes through (5,-2) and (8,7)
The slope (m2) of the second line is:
[tex]m_2 = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
So, we have:
[tex]m_2 = \frac{7--2}{8-5}[/tex]
[tex]m_2 = \frac{5}{3}[/tex]
If [tex]m_1 = m_2[/tex], then the lines are parallelIf [tex]m_1 = -\frac{1}m_2[/tex], then the lines are perpendicularNone of the above conditions is true.
Hence, the lines are neither perpendicular nor parallel
Read more about perpendicular and parallel lines at:
https://brainly.com/question/12731518
Theresa has $50 In her wallet. The bills are worth either $5 or $1. If there are
18 bills total, how many does she have of each type?
Answer:
There are 8, 5$ bills. And there are 10, 1$ bills.
Step-by-step explanation:
1 - 5
2 - 10
3 - 15
4 - 20
5 - 21
6 - 22
7 - 23
8 - 24
9 - 25
10 - 30
11 - 35
12 - 40
13 - 45
14 - 46
15 - 47
16 - 48
17 - 49
18 - 50
blem 5: James reads a 200-page book. 'On Monday he reads page 13 through page 31, next day he
reads page 47, Wednesday he decides to skip all remaining odd pages and just reads all
other even pages.
How many pages are still left James does not read yet?.
Answer:
103
Step-by-step explanation:
Unread pages = (a) 1 - 12; (b) 32 - 46; (c) odd numbered pages from 48 - 200
The number of pages in each range is:
(a) n₁ = 12 - 1 + 1 = 12
(b) n₂ = 46 - 32 + 1 = 15
(c) n₃ = 200 - 48 + 1 =153
Half the pages are odd-numbered.
153/2 = 76½.
200 and 48 are both even so there are more even-numbered pages in the range.
There are 77 even-numbered and 76 odd-numbered pages.
The total of unread pages is
12 + 15 + 76 = 103
Yung bought $4.60 worth of bubble gum. Each piece of gum cost $0.10. How many pieces of bubble gum did Yung buy?
Answer:
46 pieces
Step-by-step explanation:
We get n (number of pieces) as follows
n = (4.6 $) / (0.1 $/piece) = 46 pieces
Answer:
Yung bought 46 pieces of bubble gum for $4.6
Explanation:
We are given that each piece of gum cost $0.1 and that he spent $4.6 on gums
To get the number of gums he bought, we will simply use cross multiplication as follows:
1 piece .........................> 0.1
x pieces ......................> 4.6
Therefore:
[tex]x = \frac{4.6*1}{0.1}= 46[/tex] pieces of gum
Hope this helps :)
Shannon and Kelly spent $135 on gift certificates for their friends during the holidays. If this amount is 5/7 their total spending money, how much spending money did they originally have? Set up an equation and solve.
Answer:
$189
Step-by-step explanation:
Let their total amount of spending money be x
given that $135 they spent is 5/7 of their total spending money,
mathematically:
135 = (5/7) x (multiply both sides by 7)
135 (7) = 5x
945 = 5x
5x = 945 (divide both sides by 5)
x = 945 / 5
x = 189
Shannon and Kelly originally had $189 as their spending money.
Explanation:Let x be the original amount of spending money.
According to the problem, Shannon and Kelly spent $135 on gift certificates, which is 5/7 of the total spending money.
This can be represented by the equation: 5/7 * x = $135.
To solve for x, we can multiply both sides of the equation by 7/5 to get x = $135 * 7/5 = $189.
Therefore, Shannon and Kelly originally had $189 as their spending money.
Learn more about Finding the original spending money here:https://brainly.com/question/35706345
#SPJ2
Which linear inequality is represented by the graph?
Answer: postive
Step-by-step explanation:
A lemonade recipe calls for 2 caps of sugar and 3 caps of water.how many cups of sugar are needed when using 12 cups of water
Answer:
8 Cups of Sugar.
Step-by-step explanation:
3x4=12 cups of water.
2x4=8 cups of sugar
what is the value of x?
enter your answer in the box
Hey!
--------------------------------
Polygon: Heptagon
Vertices: 7
Sum of angles: 900°
--------------------------------
Solution:
158 + 120 + 139 + 121 + 125 + 126 = 789
900 - 789 = 111°
--------------------------------
Answer:
x = 111°
--------------------------------
Hope This Helped! Good Luck!
Annette, Barb, and Carlita work in a clothing shop. One day the three had combined sales of $1480. Annette sold $120 more than Barb. Barb and Carlita combined sold $280 more than Annette. Write and solve a linear system to find out how much did each person sold.
Answer:
The quantity sold by Annette was $600
The quantity sold by Barb was $480
The quantity sold by Carlita was $400
Step-by-step explanation:
Let
x ----> quantity sold by Annette
y ---> quantity sold by Barb
z ---> quantity sold by Carlita
we know that
[tex]x+y+z=1,480[/tex] ----> equation A
[tex]x=y+120[/tex] ----> equation B
[tex]y+z=x+280[/tex] ----> equation C
substitute equation C in equation A and solve for x
[tex]x+(x+280)=1,480[/tex]
[tex]2x=1,480-280[/tex]
[tex]2x=1,200[/tex]
[tex]x=\$600[/tex]
Find the value of y
[tex]x=y+120[/tex]
[tex]600=y+120[/tex]
[tex]y=600-120=\$480[/tex]
Find the value of z
[tex]x+y+z=1,480[/tex]
[tex]600+480+z=1,480[/tex]
[tex]1,080+z=1,480[/tex]
[tex]z=\$400[/tex]
therefore
The quantity sold by Annette was $600
The quantity sold by Barb was $480
The quantity sold by Carlita was $400
The solution involves setting up a system of three linear equations based on the given problem. By solving these equations methodically, we find that Barb, Annette, and Carlita sold $400, $520, and $560 of clothing respectively.
Explanation:The problem involves setting up and solving a system of linear equations. Here's how we approach it:
Let's denote Barb's sales as B, Annette's sales as A, and Carlita's sales as C.The total sales are given to be $1480, so we have our first equation as A + B + C = 1480.The problem states that Annette sold $120 more than Barb. This gives us another equation: A = B + 120.It is also said that Barb and Carlita combined sold $280 more than Annette, hence the third equation: B + C = A + 280.Now we have a system of three equations which we can solve step-by-step. Firstly, substitute A from the second equation into the first and third one, providing us with two new equations: B + 120 + B + C = 1480 and B + C = B + 120 + 280. These simplify to 2B + C = 1360 and B = 400. Substituting B = 400 into the equation 2B + C = 1360 gives C = 560.Last, we substitute B = 400 into the second equation A = B + 120, which simplifies to A = 520.So, Barb sold $400 of clothing, Carlita sold $560, and Annette sold $520.
Learn more about System of Linear Equations here:https://brainly.com/question/20379472
#SPJ11
Dr.Imos plants a vegetable garden each year.He plants one fourth of his garden in corn.and one half of his garden in tomatoes,He buys 240 seeds.If he pays $0.05 per seed for all vegetables he plants, how much does he spend on seeds? use S.O.L.V.E
Answer: $12
Step-by-step explanation:
0.05 x 240 = $12
Hope this helps!
The number 392 is what percent of 560? I need help with this math problem
Its 70%
392/560 = 0.7
0.7 * 100 = 70%
What is 23.65 rounded to the nearest one
Answer:24
Step-by-step explanation:
any thing that is 5 and above rouned up
Answer:
24
Step-by-step explanation:
you look at 3, look at the right and you have to round up so its 24
does commutative property apply to subtraction
explain :
Answer:
No
Step-by-step explanation:
Commutative property does not apply on subtraction i.e.
[tex]a - b \neq b - a[/tex]
for example-
for two numbers 3 and 2
[tex]3 - 2 = 1\\[/tex] and
[tex]2 - 3 = -1[/tex]
∴[tex]2 - 3 = 3 - 2[/tex]
If u varies directly with v, with k=0.6, what is the value of u when v=7.8?
a. u = 13
b. u = 0.77
c. u = 0.468
d. u = 4.68
[tex]\bf \qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \stackrel{\textit{"u" varies directly with "v"}}{u=kv}\qquad \textit{we know that } \begin{cases} k=0.6\\ v=7.8 \end{cases} \\\\\\ u=(0.6)(7.8)\implies u=4.68[/tex]