Answer:
Angela eats more cake
Angela ate 1/8 more cake
1/4 of the chocolate
3/8 of the Vanilla
no more Strawberry
Step-by-step explanation:
Angela: 4/8 + 2/8 + 4/8 = 10/8 = 1 1/4
David: 2/8 + 3/8 +4/8 = 9/8 = 1 1/8
Chocolate: 4/8 + 2/8 = 6/8, 8/8 - 6/8 = 2/8 or 1/4
Vanilla: 2/8 + 3/8 = 5/8, 8/8 - 5/8 = 3/8
Strawberry: 4/8 + 4/8 = 8/8, 8/8 - 8/8 = 0
Final answer:
Angela ate more cake than David by 0.125 of a cake after calculating fractions consumed by each. The remaining amounts of cake are 1/4 of chocolate, 3/8 of vanilla, and none of the strawberry cake is left.
Explanation:
To find out who eats more cake, Angela or David, we need to calculate the fractions of each cake they consumed. Firstly, we can simplify the fractions of the cake Angela and David ate by converting them to have the same denominator or to represent them as decimals. The total amount of each cake consumed needs to be added up individually for Angela and David.
Angela's Cake Consumption:
Chocolate Cake: 4/8 (simplified to 1/2 or 0.5)
Vanilla Cake: 2/8 (simplified to 1/4 or 0.25)
Strawberry Cake: 2/4 (simplified to 1/2 or 0.5)
Total cake eaten by Angela = 0.5 (chocolate) + 0.25 (vanilla) + 0.5 (strawberry) = 1.25
David's Cake Consumption:
Chocolate Cake: 1/4 (or 0.25)
Vanilla Cake: 3/8 (simplified to 0.375)
Strawberry Cake: 1/2 (or 0.5)
Total cake eaten by David = 0.25 (chocolate) + 0.375 (vanilla) + 0.5 (strawberry) = 1.125
Angela ate more cake than David by 0.125 of a cake.
Amount of Each Cake Left:
Chocolate Cake: 1 - (0.5 + 0.25) = 1/4 or 0.25 left
Vanilla Cake: 1 - (0.25 + 0.375) = 3/8 or 0.375 left
Strawberry Cake: 1 - (0.5 + 0.5) = 0 left
***PLEASE HELP*** I will give you 20 Brainly points
What is the approximate surface area of the sphere?
Answer:
Option B 451.9 km^2
Step-by-step explanation:
Which triangle defined by the given points on the coordinate plane is similar to the triangle illustrated?
A)
(-9,-8)(-9,0)(2.-8)
b
(-9.-8)(-9. 1)(2, -8)
c
(-9.-8)(-9,0)(3.-8)
D)
(-9.-8)(-9. 1)(3. -8)
Factor Completely: 3x squared+ 15x - 72
Answer:
actor Completely: 3x squared+ 15x - 72
3x²+15x-72
(x+5) (5x-24)
Step-by-step explanation:
Someone pls help me with this question I’ll mark as brainliest
Answer:
A.
Step-by-step explanation:
The ball height goes from 3 to 7 in 2 seconds.
7-3=4
4/2 is 2.
Therefore A. is correct.
I WILL BE GIVING 15 points and 5 stars and thanks. Please answer quickly. A housewares company wants to add a new size of mug to its collection of available products. Its original mug design has a height of 120 millimeters and a diameter of 96 millimeters, and the new mug will have a height of 100 millimeters, as shown. If the company wants the new mug to be geometrically similar to the original mug, what should the diameter of the new mug be?
a = 81 mm
b = 80 mm
c = 76 mm
d = 72 mm
Answer:
b 80 mm i think because removed 20 mm
Answer:
c
Step-by-step explanation:
if your taking 20 mm from hight you have to take 20 from the diameter
10−y=2.301
please find y
Answer:
y = 7.699
Step-by-step explanation:
10−y=2.301
subtract 10 from both sides
10-10−y=2.301-10
-y =-7.699
Multiply each side by -1
y = 7.699
Suppose cheese costs $22 per kilogram. Ella buys a 75-gram piece of cheese and Ali buys a 250-gram piece of cheese.
How much more did Ali pay for his cheese?
$1.10
$3.85
$7.15
$11.00
The amount of more did Ali pay for his cheese is $3.85.
Calculation of more amount payment:Since Suppose cheese costs $22 per kilogram. Ella buys a 75-gram piece of cheese and Ali buys a 250-gram piece of cheese.
[tex]= (22\times 250) - (22 \times 75)\\\\[/tex]
= $5,500 - $1,650
= $3,850
So it should be like $3.85
hence, The amount of more did Ali pay for his cheese is $3.85.
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Use the original price and the markup to find the retail price.
Original price: $42; Markup: 7.5%
Answer:
$45.15
Step-by-step explanation:
When you are dealing with questions with percents in them—like this one—you have to turn the percent into a decimal. To make 7.5% into a decimal, you move the decimal point 2 spaces to the left. So, 7.5% is also 0.075.
Now, we have to use this formula for these types of questions:
x + x(y)= the price with tax (or markup)
So, we can substitute the variables.
42+42(0.075)=the retail price
42(0.075)=3.15
42+3.15=45.15
So, the retail price will be $45.15
If the initial population of panda was 100 and grew to 125 after the first year, which of the following functions best models the population of pandas P with respect to the number of years t if the population growth of pandas is considered to be linear?
A. P= 25t + 100
B.P= 100(1.25)^t
C. P= 100(1.2)^t
D.P= 20t^2 + 5t +100
Hi,
if growth continue to the same rate, meaning +25% more every year, then B is the answer :
100 (1.25)^t
The correct function that models the linear growth of the panda population is P = 25t + 100 as it correctly shows the yearly growth of 25 pandas from an initial population of 100.
Explanation:The student is given that the initial population of pandas was 100, and after one year, it has increased by 25 to 125. As the question specifies a linear growth for the pandas' population, the model that would best fit this would be a linear function. The growth per year is 25 pandas, which becomes the slope of our linear function. The initial population is the y-intercept, which is the value of P when t = 0. Thus, the correct function that models this scenario is P = 25t + 100.
Option A correctly represents the linear population growth, while the other options represent exponential or quadratic growth, and thus are not suitable models for this particular case of linear growth.
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-12x-14=-62
-12x = ?
Answer: No solution
Step-by-step explanation: -12x-14=-62-12x
You would have to simplify the -12x but you can't so this would be a no solution.
Answer:
No solution
Step-by-step explanation:
what is the vertex of the parabola
1. (-1,0)
2. (0,-3)
3. (1,-4)
4. (3,0)
solve for x in the diagram in the pic
Answer:
x=34
Step-by-step explanation:
The angle measure of a straight line is 180 degrees.
So if you add up all of the angles to make an equation, you get 2x + 112=180.
Then solve.
2x + 112=180
-112
2x=68
x=34
Curtis rides his bike 9 miles one way then turns around and rides back. On the return trip, his speed is increased 20% because the wind is at his back. Let s be his speed in miles per hour riding against the wind. What is an expression that represents his total time in hours riding there and back?
Answer:
The expression that represents the total time of his route is "time = 16.5/s".
Step-by-step explanation:
Curti's ride has two parts, the first one which was made at a speed of "s" and the second one where his speed was 20% higher, therefore "1.2s". The total time to complete this course is the sum of the times for each part, since the average speed is given by:
time = distance/speed
Then the total time for the track is:
time = 9/s + 9/(1.2s)
Using LMC:
time = (1.2*9 + 9)/1.2s = (10.8 + 9)/1.2s = 19.8/(1.2s) = 16.5/s
The expression that represents the total time of his route is "time = 16.5/s".
XY and BD are parallel lines.
X is a point on AB and C is a point on BD.
XB = XC.
a) Complete this sentence.
Angle XBC = 55⁰ because
b) Work out angle BXC.
Give a reason for each angle you work out.
Answer:
Hey i got the top one its AXY and XBC ar corresponding angles
Step-by-step explanation:
help it helps you ,i will look and try to do the bottom one aswell, kan you mark me the brainlist pls.
Final answer:
Angle XBC equals 55° because of the Alternate Interior Angles Theorem applied to the parallel lines XY and BD. Angle BXC in triangle XBC is worked out to be 70° due to the Angle Sum Property of a triangle, considering triangle XBC is isosceles with XB equal to XC.
Explanation:
Angle Measurements in Parallel Lines and Triangles
When considering XY and BD as parallel lines, and points X on AB and C on BD such that XB = XC, we can analyze the angles formed using the properties of parallel lines and triangles.
a) Angle XBC = 55° because of the Alternate Interior Angles Theorem, which states that when two parallel lines are crossed by a transversal, the alternate interior angles are congruent. Since XY and BD are parallel, and AB is a transversal, angle XBC is congruent to the alternate interior angle on the opposite side, which must also measure 55°.
b) To work out angle BXC, consider triangle XBC which is isosceles given that XB = XC. Since angle XBC is 55° and triangle XBC has two equal sides (XB and XC), the base angles (XBC and XCB) are equal. So angle XCB is also 55°. The sum of all angles in a triangle is 180°, so angle BXC = 180° - (55° + 55°) which equals 70°.
The reason that angle BXC is 70° is due to the Angle Sum Property of a triangle, which is the sum of angles in a triangle is always 180°.
In a population of 1,000 students, 50 were asked by
random sampling what their plans were after graduation
from high school. Their responses are shown in the table
Using proportional reasoning, make a prediction about
how many students you would expect to have plans to
attend college
Intention after
Graduation
Number of
Students
50
1000
27
College
Job
27,000 = 50
13
Military
No plans
About
would have plans ao attewel college
Intro
Answer:540
Step-by-step explanation:
I got it right
Answer:540
Step-by-step explanation:
i got it right on edgen uity
A square napkin is folded in half on the diagonal and placed on the diameter of a round plate
(see diagram below).
If the folded napkin spans the plate and the plate has an 18-inch diameter, what is the area of
the space on the plate that is NOT covered by the napkin? Leave your answer in terms of .
Answer:
The area of the space on the plate that is not covered by the napkin is[tex]81(\pi-1)\ in^2[/tex]
Step-by-step explanation:
step 1
Find the area of the plate
The area of a circle is given by the formula
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=18/2=9\ in[/tex] ---> the radius is half the diameter
substitute
[tex]A=\pi (9)^{2}\\A=81\pi\ in^2[/tex]
step 2
Find the area of the square napkin folded (is a half of the area of the square napkin)
we know that
The diagonal of the square is the same that the diameter of the plate
Applying Pythagorean theorem
[tex]D^2=2b^2[/tex]
where
b is the length side of the square
we have
[tex]D=18\ in[/tex]
substitute
[tex]18^2=2b^2[/tex]
solve for b^2
[tex]b^2=162\ in^2[/tex] -----> is the area of the square
Divide by 2
[tex]162/2=81\ in^2[/tex]
step 3
Find the area of the space on the plate that is NOT covered by the napkin
we know that
The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate
so
[tex]A=(81\pi-81)\ in^2[/tex]
simplify
[tex]A=81(\pi-1)\ in^2[/tex]
Use the drop-down menus to justify Marlena's work in
each step of the process.
Step 1:
Step 2:
Step 3:
addition property of equality
multiplication property of equality
combined like terms
Answer: additional prop
subtraction prop
division prop
Step-by-step explanation:
Ronnie's Rentals
charges $25 plus $15 per hour to rent a
chain saw. David rented a chain saw for
5 hours. Write an expression to show how
you could calculate the total amount
David paid.
Answer:
15x5+25=x
Step-by-step explanation:
15 times 5 plus 25 = total amount paid
The angle θ=π3 is in standard position and has a terminal side that coincides with the graph of a proportional relationship represented by y=kx.
a. Find the constant of proportionality, k.
b. Write an ordered pair that lies on the graph of y=kx.
Part a
theta = pi/3
sin(pi/3) = sqrt(3)/2
cos(pi/3) = 1/3
tan(angle) = opposite/adjacent = rise/run = slope
tan(pi/3) = sin(pi/3)/cos(pi/3) = (sqrt(3)/2)/(1/2) = sqrt(3)
The value of k is k = sqrt(3)This is also the slope the line y = kx because it is in the form y = mx+b with m = sqrt(3) and b = 0.
===============================================
Part b
Pick any value you want for x, and plug it in to find the paired value of y
if x = 0, then y = 0 because
y = sqrt(3)*x = sqrt(3)*0 = 0
So (0,0) is one ordered pair on the line---------
If x = 1, then y = sqrt(3), since,
y = sqrt(3)*x = sqrt(3)*1 = sqrt(3)
We can say ( 1, sqrt(3) ) is another ordered pair---------
If x = sqrt(3), then,
y = sqrt(3)*x = sqrt(3)*sqrt(3) = sqrt(3*3) = sqrt(9) = 3
Therefore, ( sqrt(3), 3 ) is another ordered pairThere are infinitely many ordered pairs on this line.an 8-pound bag of potatoes costs $18 at this price how much would 15 pounds cost?
A is a quadrilateral with two sets of parallel sides and 4 right
angles
Answer:
If you are asking for the type of quadrilateral, then it could be a rectangle or a square.
Is y= x^2-1 a linear equation?
Answer:
no
Step-by-step explanation:
it involves a square, which when graphed, generates a curve
Answer:
NO
Step-by-step explanation:
Step 1: Determine if linear
No, since the x term is squared, that produces the bend that makes a parabola. If the x term is not squared is just by itself, that is a linear equation.
Answer: NO
Graph Below
What is the quotient of the division?
742 ÷ 7 = ?
Answer:
106
Step-by-step explanation:
700/7 = 100
42/7 = 6 + 100 = 106
Answer:
742÷7= 106
Step-by-step explanation:
are there whole numbers that are not rational numbers.
What is the equation of the parabola that has its vertex at (7,6) and contains the
point (6,8)?
C A) y = 2x2 - 28x + 52
C B) y= 2x2 - 14x + 104
C) y= 2x2 - 28x+ 104
r D) y = x2 - 144+52
The solution is Option C.
The equation of the parabola is y = 2x² - 28x + 104
What is a Parabola?A Parabola, open curve, a conic section produced by the intersection of a right circular cone and a plane parallel to an element of the cone. A parabola is a plane curve generated by a point moving so that its distance from a fixed point is equal to its distance from a fixed line
The equation of the parabola is given by
( x - h )² = 4p ( y - k )
y = a ( x - h )² + k
where ( h , k ) is the vertex and ( h , k + p ) is the focus
y is the directrix and y = k – p
The equation of the parabola is also given by the equation
y = ax² + bx + c
where a , b , and c are the three coefficients and the parabola is uniquely identified
Given data ,
Let the vertex of the parabola be ( h , k ) = ( 7 , 6 )
Now , the point P ( 6 , 8 ) lies on the parabola
The equation of the parabola is given by
y = a ( x - h )² + k
Substituting the values in the equation , we get
y = a ( x - 7 )² + 6
8 = a ( 6 - 7 )² + 6
Subtracting 6 on both sides of the equation , we get
2 = a ( 1 )
So , the value of a = 2
Now , the equation of parabola is
y = 2 ( x - 7 )² + 6
On simplifying the equation , we get
y = 2 ( x² - 14x + 49 ) + 6
y = 2x² - 28x + 98 + 6
y = 2x² - 28x + 104
Hence , the equation of parabola is y = 2x² - 28x + 104
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What is the mean for the data set?
{39, 43, 46, 86, 22, 39, 75}
Drag and drop the correct answer into the box.
mean ASAP
Alex’s printer can print 8 photos in 12 minutes.
Khalil’s printer can print 24 photos in 1 hour.
Which process could you use to help determine how much longer it will take Khalil’s printer to print 120 photos than Alex’s?
Select all that apply.
Answer:
what are your options for select all that apply
Step-by-step explanation:
Answer:
what are the options for the answer ?
Step-by-step explanation:
2 box plots. The number line goes from 60 to 79. For the swim team, the whiskers range from 64 to 74, and the box ranges from 71 to 73. A line divides the box at 72. For the wrestling team, the whiskers range from 65 to 72, and the box ranges from 66 to 71. A line divides the box at 69.
The box plots represent heights of students on two sports teams.
What is the IQR for the swim team?
What is the IQR for the wrestling team?
Answer:
For the first question "What is the IQR for the swim team?" the answer should be the number 2. And for the second question "What is the IQR for the wrestling team?" the answer should be the number 5Step-by-step explanation:
answer :
1. the IQR for the swim team is 2.
2. the IQR for the wrestling team is 5.
The box plots show the average wind speeds, in miles per hour, for various cities in two different countries
Average Wind Speeds of Cities in Country A
Average Wind Speeds of Cities in Country B
Which statement compares the median wind speeds for the data in the two box plots?
The median wind speed for country A is greater than the median wind speed for country B.
The median wind speed for country B is greater than the median wind speed for country A
The median wind speed for country A is about 7 miles per hour, and the median wind speed for country B is about 9
miles phour
Answer:
B
Step-by-step explanation:
Te assembly started at 3:02pm. It ended at
3:58pm. How long was the assembly?
Answer:
The assembly was 56 minutes long
Step-by-step explanation:
Answer: The assembly lasted 56 minutes.
Step-by-step explanation:
If you just pay attention to the minutes (2 and 58 respectively), you can subtract the original amount from the end amount.
58-2=56