Whose orange juice mixture tastes stronger? Explain or show your reasoning.
Clare mixes 2 1/2 cups of water with 1/3 cup of orange juice concentrate.
Han mxes 1 2/3 cups of water with 1/4 cup of orange juice
Answer:Han's mixture tastes stronger
Step-by-step explanation: Han's mixture tastes stronger, because...
Han's uses 6 2/3 cups of water for every 1 cup of orange juice concentrate.
Clare uses 71/2 cups of water for every 1 cup of orange juice concentrate.
Answer:
Han's juice has 15% concentration which is larger and hence, his juice will be stronger.
Step-by-step explanation:
It is required to find that which juice is stronger. So, we need to find the juice with maximum fraction or percentage of juice out of both the cases.
In first case, Clare mixes [tex]2\dfrac{1}{2}=\dfrac{5}{2}[/tex] cups of water with [tex]\dfrac {1}{3}[/tex] cup of orange juice. So, the concentration of the juice will be,
[tex]\dfrac{1/3}{5/2}=\dfrac{2}{15}=13.33\%[/tex]
In the second case, Han mixes [tex]1\dfrac{2}{3}[/tex] cups of water with [tex]\dfrac{1}{4}[/tex] cup of orange juice.
So, the concentration of the juice will be,
[tex]\dfrac{1/4}{5/3}=\dfrac{3}{20}=15\%[/tex]
Therefore, out of the two cases, Han's juice has 15% concentration which is larger and hence, his juice will be stronger.
For more details, refer the link:
https://brainly.com/question/14780097?referrer=searchResults
98 points- Math help, PROBABILITY
For the members of a neighborhood meeting group, the probability of randomly selecting a member who likes to cook is 42%, the probability of randomly selecting a member who likes to sew is 23%, and the probability of randomly selecting a member who likes to both cook and sew is 7%.
What is the probability of randomly selecting a member who likes to cook or likes to sew?
For two events A and B,
[tex]P(A\cup B)=P(A)+P(B)-P(A\cap B)[/tex]
We're given all of the probabilities on the right hand side:
[tex]P(\text{cook OR sew})=P(\text{cook})+P(\text{sew})-P(\text{cook AND sew})[/tex]
[tex]\implies P(\text{cook OR sew})=42\%+23\%-7\%=58\%[/tex]
The keyword here is "or", this means it wants the probability of finding a person who likes to cook -- or a person who likes to sew.
We are given both of these probabilities, and to find the probability of finding someone who likes to do activity A OR activity B, we simply add the probability of activity A and activity B.
42 + 23 = 65% of members like to cook or like to sew.
Which of the following classifications is NOT correct?
(Chemistry Not Math Wrong Subject) -- Change Admin
Noble gases - 8 valence electrons
Halogens - 6 valence electrons
Transition metals - number of valence electrons varies
Alkali Rare Earth metals - 2 valence electrons
Answer:
Halogens - 6 valence electrons
Step-by-step explanation:
Valence electrons are the number of electrons present in the outermost shell of the atom.
Noble gases have 8 valence electrons which is the maximum and are stable. They are inert by nature since they don't have to combine with any other element to attain stability.
Halogens have 7 valence electrons. They are high electronegative and have great attraction for electrons so that they can attain stability by forming the octet.
The valence electrons in transition metals varies as a group of columns are named transition metals.
Alkali earth metals has two valence electrons.
Hence the incorrect statement here is
Halogens - 6 valence electrons
The amount of a radioactive isotope decays in half every year.the amount of the isotope can be modeled by f(x)=346(1/2)^x and f(1)=173 what does the 1/2 represent
Answer: 1/2 is the value b such that (b)^1 = 1/2, the fraction the isotope decays in one year.
Step-by-step explanation:
At the grocery store, Vanessa bought 1.02 pounds of ground beef, 1.6 pounds of tomatoes, and 1.2 pounds of chicken. How much did these three items weigh altogether?
Answer:
3.82 pounds.
Step-by-step explanation:
We have been given that at the grocery store, Vanessa bought 1.02 pounds of ground beef, 1.6 pounds of tomatoes, and 1.2 pounds of chicken.
To find the total weight of three items, let us add 1.02, 1.6 and 1.2.
[tex]\text{The total weight of three items}=1.02+1.6+1.2[/tex]
[tex]\text{The total weight of three items}=3.82[/tex]
Therefore, three items weigh 3.82 pounds altogether.
Final answer:
Vanessa bought a total of 2.82 pounds of food, calculated by adding the weight of the ground beef, tomatoes, and chicken she purchased.
Explanation:
To calculate the total weight of the ground beef, tomatoes, and chicken Vanessa bought, simply add up their weights:
Ground beef: 1.02 pounds
Tomatoes: 1.6 pounds
Chicken: 1.2 pounds
To find the sum, you can add these values together:
1.02 + 1.6 + 1.2 = 2.82 pounds
So, Vanessa bought a total of 2.82 pounds of food.
2) On a trip to the movies a family spent $35 on tickets, and another $25 on popcorn. They also spent $10 on drinks. The oldest son spent some money on candy. Altogether the family spent $76. How much did the oldest son spend on candy?
find the sum of the geometric series. 14-7+(7/2)-(7/4)+
Answer: B on edg
Step-by-step explanation:
28/3
You can find the rise by _ the Y-coordinate of the left point from the y-coordinate of the right point
Answer:
Subtracting
Step-by-step explanation:
We know that the slope of a line is given by the rise over run. where rise is vertical difference between two points and run is the horizontal distance between the points.
[tex]\text{if }(x_1,y_1) \text{ and }(x_2,y_2)\text{ are two points on a line, then the}\\\text{slope of the line is given by}\\\\\text{Slope, }m=\frac{y_2-y_1}{x_2-x_1}\\\\\text{since slope}=\frac{\text{Rise}}{\text{Run}}, \text{ so Rise}=y_2-y_1\\\\\text{so we can find the rise by subtracting the Y-coordinate of the left point }\\\text{from the y-coordinate of the right point}.[/tex]
Is the simplified form of 2√3 − 2√3 rational?
Yes
No
Answer:
Yes
Step-by-step explanation:
2√3 − 2√3 is equal to 0. So what we are trying to find out is if 0 is a rational number. 0 IS a ratinol number as it can be expressed as a fraction of integers.
Which graph represents the function? f(x)=(x+2)^2 if x<−1
|x|+1 if −1≤x≤1
−√x if x>1
Answer:
option B
Step-by-step explanation:
To get the graph of piecewise function
We make a table for each function
Plug in end points and make a table
First function f(x) = (x+2)^2 if x<-1
x <-1 so we pick number for x less than -1. Also we use -1 but we use open circle at x=-1
x y = (x+2)^2
-3 (-3+2)^2= 1
-2 (-2+2)^2 = 0
-1 (-1+2)^2 = 1
Now plot the table on graph
second function f(x) = |x| + 1 if -1<=x<=1
Make a table, we use -1, 0 and 1 because we have -1<=x<=1 (-1 and 1 are included)
x y=|x| +1
-1 |1| + 1 = 2
0 |0|+1 = 1
1 |1|+1= 2
Third function [tex]y=-\sqrt{x}[/tex] if x>1
We find out y when x=1 and make a open circle at x=1 because we have x>1
x [tex]y=-\sqrt{x}[/tex]
1 [tex]-\sqrt{1}=-1[/tex]
4 [tex]-\sqrt{4}=-2[/tex]
Plot all the point on the graph
Correct graph is attached below
will mark brainliest !!
how do you calculate acceleration
Answer:
You use F = m x a to solve for acceleration. You can change this formula around to solve for acceleration by dividing both sides by the mass, so: a = F ÷ m. To find the acceleration, simply divide the force by the mass of the object being accelerated.
HOPE IT HELPS
F= Force
A = Acceleration
M = Mass
Answer:
a=v/t
Step-by-step explanation:
to find acceleration divide change in velocity and change in time!
Hope this helps!!
Have a great day!
If Jennifer makes $12 per hour and works 48 hours each week. She gets paid holidays off and 1 week of paid vacation. How much money does Jennifer make each year? There are 52 weeks in a year.
Answer:
If you multiply (12 x 48), you figure out how much she makes in a week ($576 a week). Then if there is 52 weeks in a year, subtract the number of weeks she gets off from 52, and multiply that number by 576 to get how much she is paid in a year. What I got from this, is that she has 1 week off. So my answer is she gets paid $29,376 a year. I hope this helps!
Polygon P'Q'R'S'T' shown on the grid below is an image of polygon PQRST after dilation with a scale factor of 3, keeping the origin as the center of dilation: Two polygons are drawn on a coordinate grid. Polygon PQRST has vertices at P 0 and negative 3, Q 3 and negative 2, R 3 and 1, S 0 and 2, T negative 2 and 0. Polygon P prime Q prime R prime S prime T prime has vertices at P prime 0 and negative 9, Q prime 9 and negative 6, R prime 9 and 3, S prime 0 and 6, and T prime negative 6 and 0. Which statement about corresponding sides and angles of the two polygons is correct? The measures of angle Q and angle Q' are in the ratio 1:3. The length of side TS is equal to the length of side T'S'. The length of diagonal RT is equal to the length of diagonal R'T'. The lengths of side SR and side S'R' are in the ratio 1:3.
Answer:
D is the answer
Answer:
The correct option is 4. The lengths of side SR and side S'R' are in the ratio 1:3.
Step-by-step explanation:
The vertices of polygon are P(0,-3), Q(3,-2), R(3,1), S(0,2), T(-2,0).
The vertices of image are P'(0,-9), Q'(9,-6), R'(9,3), S'(0,6), T'(-6,0).
It is given that polygon P'Q'R'S'T' is the image of polygon PQRST after dilation with a scale factor of 3. It means both polygons are similar.
The corresponding angles of similar figure and same and the corresponding sides are proportional. It means the sides of image are three times of the corresponding sides of pre-image.
SR and S'R' are corresponding sides.
[tex]S'R'=3\times SR[/tex]
[tex]\frac{S'R'}{3}=SR[/tex]
[tex]\frac{1}{3}=\frac{SR}{S'R'}[/tex]
[tex]1:3=SR:S'R'[/tex]
The lengths of side SR and side S'R' are in the ratio 1:3.
Therefore the correct option is 4.
HELP!!!!! 50 POINTS!!
Given the function f(x) = 4(2)x, Section A is from x = 1 to x = 2 and Section B is from x = 3 to x = 4.
Part A: Find the average rate of change of each section.
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.
Basically here all you want to do it substitute the values x=1 and x=2 for the given function. Use your slope formula [tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex].
Do same for x=3 and x=4
You next divide plug in values in to this expression:
[tex]\frac{Slope of B}{Slope of A}[/tex]
What is the resulting equation when the expression for y in the second equation is substituted into the first equation?
3x + y = 1
y = 6 - 4x
A.-x + 6 = 1
B.x + 6 = 1
C.7x + 6 = 1
Answer: 3x + 6 -4x = 1
Simplify to -x + 6 = 1 because 3x - 4x = -1x
Victor needs 30 feet of rope. The rope he wants to buy is sold by the yard. He knows that there are 3 feet in 1 yard. How many yards should he buy
Can someone please answer these questions to help me understand? Please and thank you! Will mark as brainliest!!
QUESTION 1
If a function is continuous at [tex]x=a[/tex], then [tex]\lim_{x \to a}f(x)=f(a)[/tex]
Let us find the limit first,
[tex]\lim_{x \to 4} \frac{x-4}{x+5}[/tex]
As [tex]x \rightarrow 4[/tex], [tex]x-4 \rightarrow 0[/tex],[tex]x+5 \rightarrow 9[/tex] and [tex]f(x) \rightarrow \frac{0}{9}=0[/tex]
[tex]\therefore \lim_{x \to 4} \frac{x-4}{x+5}=0[/tex]
Let us now find the functional value at [tex]x=4[/tex]
[tex]f(4)=\frac{4-4}{4+5} =\frac{0}{9}=0[/tex]
Since
[tex]\lim_{x \to 4} f(x)=\frac{x-4}{x+5}=f(4)[/tex], the function is continuous at [tex]a=4[/tex].
QUESTION 2
The correct answer is table 2. See attachment.
In this table the values of x approaches zero from both sides.
This can help us determine if the one sided limits are approaching the same value.
As we are getting closer and closer to zero from both sides, the function is approaching 2.
The values are also very close to zero unlike those in table 4.
The correct answer is B
QUESTION 3
We want to evaluate;
[tex]\lim_{x \to 1} \frac{x^3+5x^2+3x-9}{x-1}[/tex]
using the properties of limits.
A direct evaluation gives [tex]\frac{1^3+5(1)^2+3(1)-9}{1-1}=\frac{0}{0}[/tex].
This indeterminate form suggests that, we simplify the function first.
We factor to obtain,
[tex]\lim_{x \to 1} \frac{(x-1)(x+3)^2}{x-1}[/tex]
We cancel common factors to get,
[tex]\lim_{x \to 1} (x+3)^2[/tex]
[tex]=(1+3)^2=16[/tex]
The correct answer is D
QUESTION 4
We can see from the table that as x approaches [tex]-2[/tex] from both sides, the function approaches [tex]-4[/tex]
Hence the limit is [tex]-4[/tex].
See attachment
The correct answer is option A
9/25 ddivided by 729/1000
Answer:
40/81
Step-by-step explanation:
9/25 ÷ 729/1000
We can use copy dot flip
9/25 * 1000/729
I will rewrite to make the math easier
9/729 * 1000/25
9 goes into 729 81 times
1/81 * 1000/25
25 goes into 1000 40 times
1/81 * 40/1
40/81
In Sakura's garden, for every 55 red flowers, there are 1010 yellow flowers. There are a total of 7575 yellow and red flowers in her garden. How many red flowers are in Sakura's garden?
Answer:
The answer is 25
Step-by-step explanation:
Therefore, there are 25 red flowers in Sakura’s garden1.
We know that for every 55 red flowers, there are 1010 yellow flowers.
The total number of flowers in the garden is 7575 (which includes both red and yellow flowers).
Let’s use the variable (x) to represent the number of red flowers in the garden. We can set up the following ratio:
[tex][ \frac{{\text{{Red flowers}}}}{{\text{{Total flowers}}}} = \frac{{55}}{{55 + 1010}} ][/tex]
Solving for (x):
[tex][ \frac{{\text{{Red flowers}}}}{{7575}} = \frac{{55}}{{55 + 1010}} ][/tex]
Cross-multiplying:
[tex][ 55 \cdot 7575 = 55x + 1010x ][/tex]
Simplifying:
[tex][ 7575 = 55x + 1010x ][/tex]
Combining like terms:
[tex][ 7575 = 1065x ][/tex]
Solving for (x):
[tex][ x = \frac{{7575}}{{1065}} = 25 ][/tex]
The sum of two numbers is 46 and the difference is 10 . What are the numbers?
Answer: 28 and 18
Step-by-step explanation:
I used the guess and test strategy to find that:
28 - 10 = 18
28 + 18 = 46
Brady rode his bike 70 miles in 4 hours he rode at an average speed of 17 mph for t hours and at an averege rate of speed of 22 mph for the rest on the time how long did brady ride at the lower speed
i think it will be 5 minutes
The snake habitat at the nature center is made by connecting two terrariums. The first terrarium is 40\text { cm}40 cm long, 25\text { cm}25 cm wide, and 20\text { cm}20 cm high. The second terrarium is 25\text { cm}25 cm long, 30\text { cm}30 cm wide, and 20\text { cm}20 cm high. How many cubic centimeters of space do the snakes have in their habitat?
Answer:
Snakes have 35000 cm³ space in their habitat.
Step-by-step explanation:
First Terrarium has the dimensions of (length×width×height) =(40×25×20)=Volume of Terrarium(V1)
V1 = 20000 cm³
Similarly volume V2 of the second terrarium = (25×30×20) cm³
V2=15000 cm³
Therefore total space for the snakes V1+V2 =20000+15000 cm³
=35000 cm³
Carter drink 15.75 gallons of water in 4 weeks he drank the same amount of water each day estimate how many gallons he drank in one day
Answer:
Carol drank 0.5625 gallon of water in one day.
Step-by-step explanation:
Carter drink 15.75 gallons of water in 4 weeks. Each week consists of 7 days, then there are [tex]4\cdot 7=28[/tex] days in for weeks.
If he drank the same amount of water each day, then he drank in one day
[tex]15.75:28=0.5625[/tex] gallon of water.
Find the value of x to the nearest tenth.I will mark the brainlest
Answer:
1.6 = x
Step-by-step explanation:
For right angles, tan x = opposite/adjacent
tan 37 = x / 2.1
Multiply 2.1 on each side.
2.1 tan 37 = x
1.58246 =x
Rounding to the nearest tenth
Sam can prepare 20 wall paintings in four weeks.How much time will he need to prepare 80 wall paintings
Note how 80 is four times 20. So, 4*4=16. Sam can prepare 80 wall paints in 16 weeks.
please help me as soon as u can!!
Urgent
thankssss
Q2 Answer: Experimental = 60%, difference = 10%
Step-by-step explanation:
The prime numbers between 1 and 8 are: 2, 3, 5, and 7.
Theoretical: [tex]\dfrac{4(prime)}{8(total)} = 50\%[/tex]
Experimental: [tex]\dfrac{12(prime)}{20(total)} = 60\%[/tex]
Experimental - Theoretical
= 60% - 50%
= 10%
Problem 1
To find the sample mean, we simply add up all the 40 items and then divide by 40
I will add up the values row by row, and then add up the subtotals to get the grand total
row1: 39+31+38+40+29 = 177
row2: 32+33+39+35+32 = 171
row3: 32+27+30+31+27 = 147
row4: 30+29+34+36+25 = 154
row5: 30+32+38+35+40 = 175
row6: 29+32+31+26+26 = 144
row7: 32+26+30+40+32 = 160
row8: 39+37+25+29+34 = 164
Add up the subtotals: 177+171+147+154+175+144+160+164 = 1292
Divide this over 40: 1292/40 = 32.2
So the sample mean is therefore 32.2
-----------------------
To find the proportion of defective items, we count the number of times a value less than 26 shows up. That happens exactly two times. The first in row 4 (at the end of this row) is where a 25 shows up. Another copy of 25 shows up in row 8 (bottom row). There are no other values that are less than 26.
Divide this count (2) over the total sample size (40) and we get 2/40 = 1/20 = 0.05
-----------------------
In summary, 32.2 will go in the first box while 0.05 will go in the second box.
========================================
Problem 2
There are 4 values we want (2,3,5,7) out of 8 total (1,2,3,4,5,6,7,8) so 4/8 = 0.50 = 50% is the theoretical probability
This is the list of values given to us (I broke it up to help make the numbers more readable)
3, 4, 5, 2, 7
1, 3, 7, 2, 6
2, 1, 7, 3, 6
1, 8, 3, 5, 6
Of that list, the primes {3, 5, 2, 7, 3, 7, 2, 2, 7, 3, 3, 5} show up. There are 12 primes in this list out of 20. So the experimental probability is 12/20 = 3/5 = 0.60 = 60%
Therefore, the answer that goes in the "experimental probability" box is 60. The answer that goes in the second box is not 50%. I think your teacher is aiming for "10" to go in the second box because 60% is 10 percentage points higher than 50% (which was the theoretical probability found earlier)
-----------------------
In summary, 60 will go in the first box while 10 will go in the second box.
a positive number is 5 times less than another positive number. Six times the lesser number plus 3 times the greater is 3. Find the two positive numbers
Answer:
One number is [tex]\frac{5}{7}[/tex] and the other number is [tex]\frac{1}{7}[/tex]
Step-by-step explanation:
Let x be the smaller number and y be the bigger number.
x = x
y = 5x
6x + 3y = 3
6x + (3 * 5x) = 3
6x + 15x = 3
(÷3)
2x + 5x = 1
7x = 1
x = [tex]\frac{1}{7}[/tex]
6x + 3y = 3
6([tex]\frac{1}{7}[/tex]) + 3y = 3
[tex]\frac{6}{7}[/tex] + 3y = 3
3y = 3 - [tex]\frac{6}{7}[/tex]
3y = [tex]\frac{15}{7}[/tex]
Divide both sides by 3 to get 1y:
y = [tex]\frac{5}{7}[/tex]
So one number is [tex]\frac{5}{7}[/tex] and the other number is [tex]\frac{1}{7}[/tex]
Christian reads 14 book every 23 week. How many books does Christian read per week?
hurryy plesssss help me
Answer:
0.609 / week ( to nearest thousandth)
or you can state it as 60.9% of a book per week
Step-by-step explanation:
That would be 14/23 = 0.609 / week
find the area of a rectangle whose vertices are (2,2),(-3,2),(2,8), and (-3,8)
Answer:
Area of rectangle = 30 units
Step-by-step explanation:
vertices are (2,2),(-3,2),(2,8), and (-3,8)
Let find the distance between (2,2) and (2,8). because they have same x values. that would be our width
distance = [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_2)^2}[/tex]
D = [tex]\sqrt{(2-2)^2 + (8-2)^2}=\sqrt(6^2) = 6[/tex]
Width = 6
Now we find distance between (2,2) and (-3,2) because they have same y values, that would be our length
distance = [tex]\sqrt{(x_2-x_1)^2 + (y_2-y_2)^2}[/tex]
D = [tex]\sqrt{(-3-2)^2 + (2-2)^2}=\sqrt(-5^2) = \sqrt(25)= 5[/tex]
length = 5
Area of rectangle = length * width = 5*6 = 30
A rectangle has a perimeter of 76 cm and length 31 cm what is its width
The formula for the perimeter of a rectangle is P = 2L + 2W
you are given P (perimeter) and l (length.
Replace the letters withe the given information and solve for width:
76 = 2(31) +2W
Simplify:
76 = 62 + 2w
Subtract 62 from both sides:
14 = 2w
Divide both sides by 2:
W = 14/2
W = 7 cm
The width is 7 cm.