The required Paola needs to use 18 cups of water.
To determine the number of cups of water Paola needs to use, we need to know the ratio of water to iced tea mix. Typically, a common ratio for making iced tea is 1 tablespoon of iced tea mix per 1 cup of water.
A ratio is a comparison of two quantities or values, typically expressed in the form of a fraction or with a colon (:). It shows the relative sizes or amounts of two or more things in relation to each other.
Given that Paola uses 18 tablespoons of iced tea mix, she would need an equal amount of cups of water.
Therefore, Paola needs to use 18 cups of water.
Learn more about ratios here:
https://brainly.com/question/31611425
#SPJ6
The following frequency table shows the number of players on the Russian Bears volleyball team that have been
injured for each match this year.
Number of injured players
Number of matches
Find the median number of injured players.
Help me please
The median of injured players in a match is found by arranging the number of injuries in each game in ascending order and identifying the middle value. The method slightly varies depending on whether the total number of matches is odd or even. The question lacks specifics for a detailed calculation.
Explanation:To find the median of injured players, you need to arrange the number of injured players in each match in ascending order and identify the middle value. However, your question doesn't provide the specifics of the frequency table for me to proceed with a step-by-step calculation. The median is found differently depending on whether there's an odd or even number of matches. If there's an odd number of matches, the median would be the value directly in the middle of the organized list. If it's an even number, you'd average the two middle values.
Learn more about Median here:https://brainly.com/question/28060453
#SPJ12
The students at Strawberry Lakes High were complaining that the $0.99 bags of chips from the vending machine are mostly air. The bags are 6.0 inches, by 1.0 inch, by 4.5 inches Eric put a ruler inside the bag before eating any chips and measured that there were 2.7 inches of chips a.) What is the percent of air in the bag? What is the cost per ounce of chips? ( 1 oz. = 8.1 cm^3)
Answer:
3.3 inches of air in the bag.
I don't know how to get the second part. Hope this helps! :)
What is the sum of of the odd numbers from 101 to 299?
Answer:
400
Step-by-step explanation:
maybe
i hope that helps
A manufacturer makes candles in the shape of right circular cylinders and right circular cones. Part A) One candle, in the shape of a cylinder, has a height of 7.5 inches and a diameter of 5 inches. What is the volume of the candle? round all answers to the nearest inch
Answer:
The volume of the candle is [tex]147\ in^{3}[/tex]
Step-by-step explanation:
we know that
The volume of a cylinder (candle) is equal to
[tex]V=\pi r^{2} h[/tex]
we have
[tex]r=5/2=2.5\ in[/tex] ----> the radius is half the diameter
[tex]h=7.5\ in[/tex]
substitute
[tex]V=\pi (2.5)^{2} (7.5)[/tex]
[tex]V=46.875\p\ in^{3}[/tex]
assume
[tex]\pi=3.14[/tex]
[tex]V=46.875(3.14)=147\ in^{3}[/tex]
Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face. She has a 70% chance of rolling a four. She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game. She wants to determine the probability that she rolls a four on three of her next five rolls.
Which simulation design has an appropriate device and a correct trial?
A) Using a fair coin let heads represent rolling a four and tails represent not rolling a four. Flip the coin five times.
B) Using a table of random digits select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.
C) Roll a fair die with a single digit between 1 and 6 on each face. Let four represent rolling a four and 1-3 and 5 and 6 represent not rolling a four. Roll the die five times.
D) Using a table of random digits select a digit between 1 and 6, ignoring digits 0, 7, 8, and 9. Let 4 represent rolling a four and 1-3 and 5 and 6 represent not rolling a four Select five digits.
Answer:
The answer is option B.
Step-by-step explanation:
Loretta is rolling an unfair 6 sided die with a single number between 1 and 6 on each face and she has a 70% chance of rolling a four.
She is playing a game with a friend and knows that if she rolls a four on three of her next five rolls she will lose the game.
She wants to determine the probability that she rolls a four on three of her next five rolls.
The simulation design that is helpful here is :
B) Using a table of random digits select a digit between 0 and 9. Let 0-6 represent rolling a four and 7-9 represent not rolling a four. Select five digits.
Compute the perimeter of the rectangle using the distance formula. (round to the nearest integer)
do you have a picture
use a percent proportion or equation to answer: 150% of what number is 24
Answer is 36
150 • 24= 3,600
3,600/100= 36
Can anyone help me please
Answer:
$35.64
Step-by-step explanation:
$5.78 + $19.87 + $24.99 = $50.64
$50.64 - $15 = $35.64
Answer:
35.64
Step-by-step explanation:
24.99 + 19.87 + 5.78 = 50.64
50.64 - 15= 35.64
The manger of a large store notices that there are 72 customers waiting to be check out, spread across 9 different check-out lines. Select all of the scenarios that would be proportional to what the manger saw.
72 divided by 9 = 8
Hope I helped
Help! This one right here I didn’t learn please
For this case we have to define trigonometric properties of rectangular triangles that, the sine of an angle is given by the leg opposite the angle on the hypotenuse of the triangle. So:
[tex]Sin (53) = \frac {x} {10}[/tex]
We clear x:
[tex]x = 10 * without (53)\\x = 10 * 0.79863551\\x = 7,986,351[/tex]
Rounding:
[tex]x = 8[/tex]
ANswer:
8.0
Answer:
x could be the opposite or adjacent side ( sin or cos ) but it will still give you the same answer
Step-by-step explanation:
sin Ф = opp/hyp
sin 53 = x/10
10 sin 53 = x
x = 7.99
cos Ф = adj/hyp
cos 37 = x/10
10 cos 37 = x
x = 7.99
A coffee shop has booths and counter seating. Each booth can
seat 4 people. Another 20 people can sit at the counter. Which
expression shows how many customers can be seated in the coffee
shop?
A) 200 – 4 B) 200 14 C) Ab-20 D) 4b + 20
Answer:
d
Step-by-step explanation:
4 times the number of booths and 20 people.
Factor 6x^4 - 5x^2 + 12x^2 - 10 by grouping. What is the resulting expression?
Answer:
[tex](6x^2 -5) (x^2 +2 )[/tex]
Step-by-step-explanation:
We are given the following expression and we are to factorize it by grouping:
[tex]6x^4 - 5x^2 + 12x^2 - 10[/tex]
We will group the first two terms and the last two terms to get:
[tex](6x^4 - 5x^2) + (12x^2 - 10)[/tex]
For the first group we need to factor out x^2 and for the second group we will factor out 2.
[tex]x^2(6x^2 - 5) + 2(6x^2 - 5) [/tex]
[tex](6x^2 -5) (x^2 +2 )[/tex]
What is two times the quantity of a number minus 12
Answer: B Or Option 2
Step-by-step explanation: Your Answer Will Be The Second Choice Have A Great Day!
(3x + 3)(x − 5)
I’m confused please help me!
3x^2 - 15x + 3x - 15
3x^2 - 12x -15
Answer: =3 x 2 − 12x −15
Step-by-step explanation:
=(3x + 3)(x+−5)
=(3x)(x) + (3x)(−5)+(3)(x)+(3)(−5)
=3x2 − 15x+ 3x − 15
Therefor, the answer is = 3x 2 − 12x − 15
* hopefully this helps:) Mark me the brainliest:)!!!
Having a hard time with this one.
answer for this question is 1/16
what is one half times negative 2
Answer:
the answer is -3 ihope your happy
Step-by-step explanation:
Answer:
the answer is -1
Step-by-step explanation:
o.5 x -2= -1
what is the surface area of this design ?
The surface area is 392in squared
decide whether each statement is possible or impossible for some angle theta. tan theata =-35.4 possible or impossible
Answer:
It is possible
Step-by-step explanation:
x = 1.5990374 + π n , for any integer n
What is the slope of the line described by the data in the table below?
A 2/5
B 2/3
C 5/4
D 5/2
Answer:
D
Step-by-step explanation:
General Equation: y = mx + b
You need two pieces of data to solve this.
When x = 1, y = 8
8 = 1x + b
When x = -1, y = 3
3 = - x + b
==================
8 = x + b
3 = -x + b If we add we get b so let's add.
11 =2b Divide by 2
11/2 = b
==================
y = mx + b
y = mx + 11/2 Now we can solve for m
3 = -m + 11/2 Subtract 11/2
3 - 11/2 = - m
- 2 1/2 = -m multiply by - 1
2 1/2 = m
m = 5/2
The answer is D
The answer to the problem is C
What is the angle measure of D?
52°
56°
74°
102°
Answer:
52°
Step-by-step explanation:
<D = 360 - (78+106 + 124)
<D = 360 - 308
<D = 52°
Answer:
52
Step-by-step explanation:
<106+ 78+ 124>= 308
360-308=52
HOPE THIS HELPS!!!
A student has three puzzles each puzzle has 1250 pieces what is the total number of pieces in the puzzle’s
The total number of pieces in the puzzle’s is 3,750 pieces.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
we have,
3 puzzle having 1250 pieces in each.
So, the total number of pieces are
= 1250 x 3
= 3,750 pieces
Learn more about Unitary Method here:
https://brainly.com/question/22056199
#SPJ2
Hannah measured the length, width, and height of her microwave in order to determine if it would fit in the space above her stove. Her measurements are shown below.
What is the volume of the microwave?
A. 1 9/16 cu ft.
B. 1 11/12 cu ft.
C. 1 3/4 cu ft.
D. 3 2/3 cu ft
Answer:
the answer is A. 1 9/16 cubic feet
Step-by-step explanation:
V = lwh
V = (5/3 ft) (5/4 ft) (3/4 ft)
V = 75/48 cu. ft.
V = 25/16 cu. ft.
V = 1 9/16 cu. ft
Plz help me with this
Answer: [tex]\bold{B)\quad y=4sin\bigg(\dfrac{3}{2}x+\dfrac{2\pi}{3}\bigg)}[/tex]
Step-by-step explanation:
A sin graph is a cosine graph shifted to the left [tex]\dfrac{\pi}{2}[/tex] units.
[tex]y=4cos\bigg(\dfrac{3}{2}x + \dfrac{\pi}{6}\bigg)\qquad \implies y=4sin\bigg(\dfrac{3}{2}x+\dfrac{\pi}{6}+\dfrac{\pi}{2}\bigg)\\\\\\.\qquad \qquad \qquad \qquad \qquad \implies y=4sin\bigg(\dfrac{3}{2}x+\dfrac{4\pi}{6}\bigg)\\\\\\.\qquad \qquad \qquad \qquad \quad \implies \large\boxed{y=4sin\bigg(\dfrac{3}{2}x+\dfrac{2\pi}{3}\bigg)}[/tex]
The answer to the first question.
Answer:?
Step-by-step explanation: what am I exactly reading it would better help if you typed it.
Answer:
see explanation
Step-by-step explanation:
Given
5x² - 4 - 8x
To find the zeros equate to zero and rearrange into standard form, that is
5x² - 8x - 4 = 0 ← in standard form
To factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 5 × - 4 = - 20 and sum = - 8
The factors are - 10 and + 2
Use these factors to split the x- term
5x² - 10x + 2x - 4 = 0 ( factor the first/second and third/fourth terms )
5x(x - 2) + 2(x - 2) = 0 ← factor out (x - 2) from each term
(x - 2)(5x + 2) = 0
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
5x + 2 = 0 ⇒ 5x = - 2 ⇒ x = - [tex]\frac{2}{5}[/tex]
-----------------------------------------------------------------------------
The sum of the zeros = - [tex]\frac{b}{a}[/tex]
The product of the zeros = [tex]\frac{c}{a}[/tex]
with a = 5, b = - 8 and c = - 4
The sum = 2 - [tex]\frac{2}{5}[/tex] = [tex]\frac{8}{5}[/tex]
and - [tex]\frac{b}{a}[/tex] = - [tex]\frac{-8}{5}[/tex] = [tex]\frac{8}{5}[/tex]
Thus verified
The product = 2 × - [tex]\frac{2}{5}[/tex] = - [tex]\frac{4}{5}[/tex]
and [tex]\frac{c}{a}[/tex] = [tex]\frac{-4}{5}[/tex] = - [tex]\frac{4}{5}[/tex]
Thus verified
Use the formula d=rt to find the distance traveled by a car driving at an average speed of 65 miles per hour for 4.5 hours. How far would you travel? A. 144.5 miles B. 292.5 miles C. 325 miles D. 487 miles
B: 292.5; multiply 65x4.5
Using the formula d = rt, the distance traveled by a car moving at 65 miles per hour for 4.5 hours is calculated to be 292.5 miles.
Calculating Distance Traveled
To calculate the distance traveled by a car, we can use the formula d = rt, where d represents distance, r represents average speed (rate), and t represents time.
Given: average speed r = 65 miles/hour, time t = 4.5 hours.
Find: distance d.
We use the formula to solve for d:
d = (65 miles/hour)(4.5 hours) = 292.5 miles
Therefore, the car would travel a distance of 292.5 miles at an average speed of 65 miles per hour over 4.5 hours.
Please help me! 20 points!
A wooden block in the shape of a cube has a side length of 0.3 meter and has a mass of 18.954 kilograms.
What is the density of the block?
_______ kg/m³
Answer:
We first have to find the volume of the cube: (0.3 * 0.3 * 0.3) we then get 0.027, then we plug in the numbers for the density formula. D = 18.954/0.027 will give us 702.
The density of the wooden block in the shape of a cube with the given side length and mass is 702kg/m³.
What is the density of the block?
Density is expressed mathematically as;
p = m / v
Where m is mass and v is volume.
Given the data in the question;
Mass of the cube wood block m = 18.954kgside length a = 0.3mDensity p = ?First, we calculate the volume of the cube wood block.
Volume of a cube v = a³
v = ( 0.3m )³
v = 0.027m³
Now, we determine the density.
p = m / v
p = 18.954kg / 0.027m³
p = 702kg/m³
Therefore, the density of the wooden block in the shape of a cube with the given side length and mass is 702kg/m³.
Learn more about density here: https://brainly.com/question/952755
#SPJ2
The equation of line 1 is 3x−2y=5, and the equation of line 2 is x+2y=7. What is the point of intersection of the two lines?
A. (3,2)
B. (2,3)
C. (5,5)
D. (5,1)
Answer:
(3, 2)
Step-by-step explanation:
This is a system of equations so I'll solve it using the 'Addition method'.
3x - 2y = 5 | x + 2y = 7
Add the two equations together to get:
4x = 12
x = 3
Then we solve for y using the 2nd expression because it's easier.
3 + 2y = 7
2y = 4
y = 2
The point of intersection of the two lines 3x-2y=5 and x+2y=7 is found to be (3,2) by solving the system of equations simultaneously, making option A the correct answer.
To find the point of intersection of the two lines represented by the equations 3x−2y=5, and x+2y=7, we need to solve these equations together. This involves finding a common solution for x and y that satisfies both equations simultaneously.
Steps to Find the Intersection
Rewrite each equation in standard form if necessary. The equations are already in standard form.Solve one of the equations for one of the variables. Let’s solve the second equation for x: x = 7 - 2y.Substitute the expression for x from step 2 into the first equation: 3(7 - 2y) - 2y = 5.Simplify and solve for y: 21 - 6y - 2y = 5, which simplifies to -8y = -16. Solving for y gives y = 2.Substitute the value of y back into one of the original equations to solve for x. Using the second equation: x + 2(2) = 7, simplifying gives x = 3.Therefore, the point of intersection of the two lines is (3,2), which corresponds to option A.
Find the surface area of the square pyramid. Round your answer to the nearest hundredth
Answer:
175.415
Step-by-step explanation:
surface area of square pyramid is given by:
Area= s^2 + 2(s)(l)
where s is the base and l is the slant height
in given problem, slant height l is not given, so by using Pythagoras theorem finding l:
c^2= a^2 + b^2
= 8^2 + 4^2
= 48.49
c = 6.96348
Now putting values of s=8 and l= 6.96 in first formula
Area= 8^2 + 2(8)(6.96)
= 64 + 111.41
= 175.415
!
Select the correct answer.
To prepare for a triathlon, Amanda starts from position A and rides her bike along a straight road for 12 miles to reach position B. At B, she turns left and rides along another straight road for 15 miles to reach position C. At C, she turns left again and rides 20 miles along a straight road to return to A. In , what are m∠A, m∠B, and m∠C, respectively?
A.
48.35°, 94.94°, 36.71°
B.
35.41°, 67.87°, 76.72°
C.
51.05°, 70.66°, 58.29°
D.
15.97°, 81.89°, 82.14°
Answer:
A. 48.35°, 94.94°, 36.71°
Step-by-step explanation:
Given,
ABC is a triangle,
In which AB = 12 miles, BC = 15 miles and AC = 20 miles,
By the cosine law,
[tex]BC^2 = AC^2 +AB^2 -2\times AC\times AB\times cos A[/tex]
[tex]2(AC)(AB)cos A=AC^2+AB^2-BC^2[/tex]
[tex]\implies cos A = \frac{AC^2+AB^2-BC^2}{2(AC)(AB)}----(1)[/tex]
Similarly,
[tex]cos B = \frac{BC^2+AB^2-AC^2}{2(BC)(AB)}----(2)[/tex]
[tex]cos C = \frac{BC^2+AC^2-AB^2}{2(AC)(BC)}----(3)[/tex]
By substituting the values in equation (1),
[tex]cos A=\frac{20^2+12^2-15^2}{2(20(12)}=0.66458[/tex]
[tex]\implies m\angle A\approx 48.35^{\circ}[/tex]
Similarly, from equation (2) and (3),
[tex]m\angle B\approx 94.94^{\circ}[/tex]
[tex]m\angle C\approx 36.71^{\circ}[/tex]
Hence, Option 'A' is correct.
Which situation is represented by the inequality?
5.00 + 1.00r ≤ 16.00
A) Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $1.00, and each ride costs an additional $5.00. What is r, the minimum number of rides he can go on?
B) Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $5.00, and each ride costs an additional $1.00. What is r, the minimum number of rides he can go on?
C) Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $1.00, and each ride costs an additional $5.00. What is r, the maximum number of rides he can go on?
D) Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $5.00, and each ride costs an additional $1.00. What is r, the maximum number of rides he can go on?
Answer:
Option D. The maximum number of rides is 11
Step-by-step explanation:
Let
r -----> the number of rides
we have
[tex]5.00+1.00r \leq 16.00[/tex]
Solve for r
[tex]1.00r \leq 16.00-5.00[/tex]
[tex]1.00r \leq 11.00[/tex]
[tex]r \leq 11.00[/tex]
The maximum number of rides is 11
therefore
Tom can spend at most $16.00 at the carnival
The price of admission to the carnival is $5.00
Each ride costs an additional $1.00
The maximum number of rides is 11
Answer:
The answer is D
Step-by-step explanation:
Tom wants to attend the town carnival. Suppose he can spend at most $16.00 at the carnival. The price of admission to the carnival is $5.00, and each ride costs an additional $1.00. What is r, the maximum number of rides he can go on?