Jorge's older brother's watering can holds approximately 165.33 cups of water. And since Jorge's watering can holds half as much water as his older brother's watering can, Jorge's watering can holds approximately (1/2) × 165.33 = 82.67 cups of water, which we can round to 4 cups.
Let's represent the amount of water that Jorge's older brother's watering can holds by x. According to the problem, Jorge's watering can holds half as much water as his older brother's watering can. Therefore, Jorge's watering can holds (1/2)x cups of water.
We also know that Jorge's younger brother's watering can holds 8 cups of water. Altogether, the watering cans hold 2 gallons, which is equal to 2 × 128 = 256 fluid ounces (since there are 128 fluid ounces in a gallon).
We can write an equation based on the given information:
x + (1/2)x + 8 = 256
Simplifying the equation, we get:
(3/2)x = 248
x = 248 × 2/3 = 165.33
Therefore, jorge's watering can holds 4 cups of water.
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what is the 6th term for 16,48,144
Answer:
Step-by-step explanation:
16, 48 , 144 ...... is a geometric sequence.
first term = a = 16
common ratio = r = 2 term ÷ first term = 48 ÷ 16 = 3
nth term = \(ar^{n-1}\)
\(6th \ term = 16 * (3)^{6-1}\\\\\\= 16 * 3^{5}\\\\= 16 * 243\\\\= 3888\)
What is the vertex of this quadratic function?
A) (-4, 0)
B) (-2, 0)
C) (-3, 1)
D) (0, -8)
Answer:
C) (-3,1) is the solution
The scores on a standardized exam are normally distributed with a mean of 400 and a standard deviation of 50.
Approximately 40% of the scores are greater than which score?
370
387
413
430
Using the normal distribution, it is found that approximately 40% of the scores are greater than 413.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, we have that the mean and the standard deviation of the scores are given by:
\(\mu = 400, \sigma = 50\)
Approximately 40% of the scores are greater than the 60th percentile, which is X when Z = 0.253.
Then:
\(Z = \frac{X - \mu}{\sigma}\)
\(0.253 = \frac{X - 400}{50}\)
X - 400 = 50(0.253)
X = 412.65.
Rounding up, approximately 40% of the scores are greater than 413.
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Answer:
413
Step-by-step explanation:
I took the test k12
4gh=2b
solve for g
.........
Answer:
g = b/2h
Step-by-step explanation:
The given equation is :
4gh = 2b
We need to find the value of g.
Dividing both sides of the above equation by 4h. So,
\(\dfrac{4gh}{4h}=\dfrac{2b}{4h}\\\\g=\dfrac{b}{2h}\)
So, the value of g is b/2h.
Assume a and b are legs of a right triangle and c is the hypotenuse. Solve for the missing length usingthe Pythagorean Theorem.a = 12, b = 16, c = _____A. c = 200B. c = 20C. c = 12D. c = 4 7please i need answer quickk
Based on the calculations, the hypotenuse of the triangle is equal to: B. c = 20.
Let a be the adjacent side.Let b be the opposite side.Let c be the hypotenuse.Given the following data:
a = 12b = 16To determine the hypotenuse of the triangle, we would apply Pythagorean's Theorem:
What is the Pythagorean Theorem?Mathematically, Pythagorean's Theorem is given by this formula:
\(c^2 = a^2 + b^2\)
Substituting the given parameters into the formula, we have:
\(c^2 = 12^2 + 16^2\\\\c^2 = 144+256\\\\c^2 = 400\\\\c=\sqrt{400}\)
c = 20 units.
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Can someone please help me with math.
Answer:
A
Step-by-step explanation:
So lets look at the points on the graph.
Actually, lets just look at a and b(We only need 1 of these points, but it doesnt hurt to do a little extra to udnerstand it better)
If we count the coordinates for A, we get:
(-2, 3)
Remember, we need to use a scale factor of 2 for this.
So we need to multiply by 2.
This now gets us:
(-4. 6)
This looks like answer A, which has: (-4, 6) for A coordinates.
Now, lets check this with B coordinates:
(1, 3)
Multiply by 2:
(2, 6)
For answer A, is this the B coordinates?
Yup, answer A has B coordinates (2, 6)
So the answer is A!
Hope this helps! :)
16 + 13p -- 9p
how do you do this?
Compute the effective annual rate of interest at which $535 deposited at the beginning of every three months for 10 years will amount to $30,000. 6.32% 6.78% O 6.47% 1.62%
To calculate the effective annual rate of interest, we can use the formula: Effective Annual Rate (EAR) = (1 + i/n)^n - 1, where i is the nominal interest rate and n is the number of compounding periods per year.
In this case, $535 is deposited at the beginning of every three months for 10 years, resulting in a total of 40 deposits .We need to find the nominal interest rate i that will make the accumulated amount equal to $30,000. Let's denote the interest rate per quarter as r, so the nominal interest rate will be i = 4r. Using the formula for the future value of an ordinary annuity: FV = P((1 + r)^n - 1)/r. where FV is the future value, P is the periodic payment, r is the interest rate per period, and n is the number of periods, we can calculate: $30,000 = $535((1 + r)^40 - 1)/r. Solving this equation for r numerically, we find that r ≈ 0.0162. Therefore, the nominal interest rate i ≈ 4(0.0162) ≈ 0.0648, which is approximately 6.48%. The effective annual rate (EAR) is then: EAR = (1 + i/n)^n - 1 = (1 + 0.0648/4)^4 - 1 ≈ 0.0647 or 6.47%.
Therefore, the effective annual rate of interest at which $535 deposited at the beginning of every three months for 10 years will amount to $30,000 is approximately 6.47%.
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Ricky ran 7/16 of a Model before stopping to tie his shoe represent the distance he ran As a decimal then state if the decimal is terminating or repeating
Answer:
.4375, terminating
Step-by-step explanation:
Write the area of the rectangle below as product and as a sum
The area of the rectangle as product and as a sum are (x + y + 3) * (x + 2) and x² + 5x + xy + 2y + 6
Writing the area of the rectangle as product and as a sumFrom the question, we have the following parameters that can be used in our computation:
The rectangle
The side lengths of the rectangle are
x + y + 1 + 1 + 1
x + 1 + 1
Evaluate
So, we have
x + y + 3
x + 2
The area of the rectangle is calculated as
Area = (x + y + 3) * (x + 2)
When expanded, we have
Area = x² + 5x + xy + 2y + 6
Hence, the area is x² + 5x + xy + 2y + 6
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The measure of an angle is 79º. What is the measure of its supplementary angle?
Answer:
101º
Step-by-step explanation:
supplementary angles mean they equal 180
so 180 - 79=101
Do the images below represent a translation explain your answer
No, translation does not affect the slope of a line.
What is slope of a line?The slope of a line is determined by the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line. This ratio remains the same regardless of where the line is located in the coordinate plane.
Translation, on the other hand, involves moving the entire line horizontally and/or vertically without changing its shape or orientation. Translation only affects the position of the line in the coordinate plane, but does not alter its slope.
The picture shows two lines that are converging at the down right end tis means the point lines are not parallel and the slope is altered
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Last questions guys !! Go on my page for more chances for brainliest !!
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Can I have Brainllest? Please I need It?
HELP ME ASAP I NEED HELP
Answer:
distance = 7.07 units
Step-by-step explanation:
x difference = 7
y difference = -1
using the Pythagorean theorem:
7² + -1² = d²
d² = 49 + 1 = 50
d = 7.07
Answer:
7.1
Step-by-step explanation:
distance between the x is 7 and y is 1
And to find the hypotenuse, you use the quadratic formula, 7^2 + 1^2 = c^2
c=50
and take the square root, which is 7.071, rounds to 7.1
Median of 3 7 2 4 7 5 7 1 8 8
Answer:
6
Step-by-step explanation:
1 , 2 , 3 , 4. ,5 ,7 ,7, 7, 8, 8
5+7 = 12
12 divided by 2 = 6
answer:
6
blah blah blah blah
Please help!! big test tomorrow and I really need it. PLEASEEEEE
Answer:
Step-by-step explanation: I cant understand any words can you send more pictures
What is the area of a circle with a diameter of 12 inches?
Step-by-step explanation:
\(radius = \frac{12}{2} \\ = 6 \\ area \: of \: circle =\pi \: {r }^{2} \\ = \pi \times {6}^{2} \\ \pi \times 36 \\ = 113.14\)
anss....wer....
Answer:
can be solved in two ways here you go
one is by either by finding r and using the formula
Area = πr²
Or by directly using the formula
Area = 1/4 πd²
please help for brainliest answer
Answer:
3360 cm^2
Step-by-step explanation:
24 times 14 times 10 = 3360
What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
Find the exact value of the expression. Given cosθ=135 and sinθ<0; find cscθ.
The exact value of cscθ is (35 * √(1190)) / 1190.
To find the value of cscθ (cosecant θ) given that cosθ = 1/√35 and sinθ < 0, we can use the reciprocal relationship between sine and cosecant.
Recall that cscθ is the reciprocal of sinθ. Since sinθ is negative, we can determine its value based on the quadrant in which θ lies.
In the unit circle, the cosine is positive in the first and fourth quadrants, while the sine is negative in the third and fourth quadrants.
Given that cosθ = 1/√35 and sinθ < 0, we can conclude that θ lies in the fourth quadrant.
Using the Pythagorean identity, sinθ = √(1 - cos^2θ), we can calculate the value of sinθ:
sinθ = √(1 - (1/√35)^2)
= √(1 - 1/35)
= √(34/35)
= √34 / √35
= (√34 / √35) * (√35 / √35) [Multiplying numerator and denominator by √35 to rationalize the denominator]
= √(34 * 35) / 35
= √(1190) / 35
Now, since cscθ is the reciprocal of sinθ, we have:
cscθ = 1 / sinθ
= 1 / (√(1190) / 35)
= 35 / √(1190)
= (35 * √(1190)) / 1190.
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Roy has $100 in a savings account that earns 11% interest, compounded annually. To the nearest cent, how much will he have in 1 year?
Answer:
111
I'm pretty sure
Step-by-step explanation:
Which action is most helpful in preventing sexual involvement?
1. bringing condoms “just in case”
2. voicing personal boundaries
3. indicating that parents will be upset
4. suggesting that it is not the right time for a dating relationship
The correct answer for preventing sexual involvement would be option 2: voicing personal boundaries.
Voicing personal boundaries: This action is crucial in preventing sexual involvement.
By clearly communicating one's personal boundaries, desires, and limits, individuals establish their autonomy and expectations within a relationship. Open and honest communication allows both parties to understand and respect each other's boundaries, leading to a healthier dynamic.
Voicing personal boundaries is essential because it allows individuals to communicate their limits and expectations regarding sexual involvement, promoting consent and healthy relationships.
It empowers individuals to take ownership of their bodies and decisions, fostering an environment where all parties involved can make informed choices and respect each other's boundaries.
Hence the correct option is 2.
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what is 5 11/24-0.375+
61/12 = 5.083 is the answer.
Evaluate the expression.
x2−4x for x=−1
no links or files pls.
Answer:
\( {x}^{2} - 4x \\ {( - 1)}^{2} - 4( - 1) \\ 1 + 4 = 5\)
I hope I helped you^_^
Farmer Hank has fewer than 100 pigs on his farm. If he groups five to a pen, there are always three pigs left over. If he groups the pigs seven to a pen, there is always one left over. However, if he groups the pigs three to a pen, there no pigs left. What is the greatest number of pigs that Farmer Hank could have on his farm?
Answer:
the answer is 99
Step-by-step explanation:
Parv has a $50 gift card he uses the gift card to buy a pack of games for 9. 99. He also wants to buy n movies. Each movie cost 3. 99. Which inequality describes how many movies part can buy?
The inequality that describes how many movies Parv can buy is: n ≤ 10.025
Let's denote the number of movies Parv wants to buy as n. We are given that each movie costs $3.99. To determine the inequality that describes how many movies Parv can buy, we need to consider the amount of money he has remaining after purchasing the pack of games.
Parv starts with a $50 gift card and spends $9.99 on a pack of games. The remaining amount on the gift card is $50 - $9.99 = $40.01.
Now, let's consider the cost of n movies. Each movie costs $3.99, so the total cost of n movies would be n * $3.99.
Since Parv wants to buy the movies using the remaining amount on his gift card, we can set up the inequality:
n * $3.99 ≤ $40.01
This inequality states that the total cost of n movies, represented by n * $3.99, must be less than or equal to the remaining amount on the gift card, which is $40.01.
Simplifying the inequality further, we have:
3.99n ≤ 40.01
Now, if we want to solve for n, we can divide both sides of the inequality by 3.99:
n ≤ 40.01 / 3.99
Calculating this value, we have:
n ≤ 10.02506265664
Therefore, the inequality that describes how many movies Parv can buy is:
n ≤ 10.025
This means that Parv can buy a maximum of 10 movies, as he cannot purchase a fractional part of a movie.
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What is the remainder when 14,952 ÷ 41?
Answer:
The answer is 28
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
PLSSSSSS HELP ME WITH THISS!!!
Answer:
Her total would be $59 so, we would be a dollar extra.
The answer is Yes, the total will be $59.
Step-by-step explanation:
$58 - $18.50 = You need to earn $39.5.
Garden = $6.50 per hour
Cakes = $5.25 per hour
$6.50 X 3 hours = $19.50
$5.25 X 4 hours = $21
$21 + $19.50 = $40.50 totall
$18.50 + $40.50 = $59
laura lleno su pecera hasta la mitad 40 cm 60 cm 20 cm cuanto espacio ocupa la pecera
find the circumference and the area of a circle with diameter 8 cm.
Answer:
Step-by-step explanation:
If the diameter is 8 cm, and the formula is A=pie*radius^2, the radius is 4.
The area would be 16*pie
The formula for finding the circumference 2*pie*radius, so the circumference is 8*pie.