Eric has a total of 31 coins in his collection. This is seven more than six times the number of quarters in the collection. How many quarters does he have?

Answer:

318.20.

Step-by-step explanation:

I think that's right 1/4 off 370

Answer:

V=201.06 ft²

Step-by-step explanation:

V=\(\pi\)r²h

V=\(\pi\)2²16

V=64\(\pi\)

V=201.06

Answer:201.06  

Step-by-step explanation:

2^2 = 4(pie) x 16

Answer:

-2b+12

Step-by-step explanation:

Answer:

-2b+12

Step-by-step explanation:

-2b-4(b+3)-4b

-2b+4b+12-4b

-2b+12

Answer:

8

Step-by-step explanation:

think about this: which number has the bigger distance from 0 on a number line.

-4  -3  -2  -1  0  1  2  3  4  5  6  7  8

You can see the distance between -4 and 8. Because 8 is eight spaces away from zero, and -4 is 4 spaces away from zero, we can see that 8 is bigger

The 8 is greater than -4. The difference between the two numbers is 12, and 8 is a positive number, while -4 is a negative number, solidifying that 8 is the larger value.

To compare the numbers -4 and 8, we can use the number line or basic numerical comparison. On the number line, -4 is to the left of 8, indicating that 8 is greater. Additionally, we can verify this by subtracting -4 from 8, which gives us 12 (8 - (-4) = 12). Since 12 is positive, 8 is indeed greater than -4.

In numerical comparison, when a positive number is compared to a negative number, the positive number is always greater. This is because negative numbers are "less than" zero, and positive numbers are "greater than" zero.

In conclusion, 8 is greater than -4. The difference between the two numbers is 12, and 8 is a positive number, while -4 is a negative number, solidifying that 8 is the larger value.

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Answer:

Each small bag cost $8.5

Step-by-step explanation:

25-4=21

239.75-61.25=178.5

178.5/21=8.5

Charge on each sphere is -3.4 × 10⁻⁹ C.

According to Coulomb’s law, the force F between two charged bodies, having charges q1 and q2 and separated by a distance r, is given by

F = (k |q1 q2|) / r² where k is a constant equal to 8.99 × 10^9 N m²/C²

Given:F1 = F2 = 0.0360 N; k = 8.99 × 10^9 N m²/C²; r = 24.3 cm = 0.243 m

Let q be the charge on each sphere.

Because both spheres have equal amounts of charge, the force acting on each sphere is the same.

Hence, F = F1 = F2(q²) = F * r² / (k) = (0.0360 N) * (0.243 m)² / (8.99 × 10^9 N m²/C²)

Charge on each sphere is -3.4 × 10⁻⁹ C.

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Option 1 is correct, The point will be on 10 for the cost $240.

=> 0—————————-10—————————-20

By multiplying the data οbtained with such a nanοsectiοn variable whilst alsο twο that used the unitary methοd , the jοb can be finished. In essence, this mean that whenever a desired item appears, the specified entity is set οr the cοlοur space οf bοth prοductiοn runs is skipped. A varying fee οf Inr ($1.01) might have been necessary fοr fοrty pens.

Here,

Greg wants tο cοllect enοugh cash tο spend $210 οn a new bicycle. He needs tο make an extra $150 because he already has $60. He needs tο mοw the fοllοwing lawns in οrder tο make his $15 per lawn:

=> 150 ÷ 15 = 10 acres

Greg must mοw at least 10 yards in οrder tο accοmplish his οbjective. The number line shοwing hοw many fields he can mοw is as fοllοws:

=> 0—————————-10—————————-20

The number οf lawns he can mοw tο reach his οbjective is represented by any value οn this number line larger than οr equal tο 10. He will, fοr instance, be cοmpensated:

=> 12 × $15 = $180

He already has $60, sο after adding this, he will have:

=> $60 + $180 = $240

which will cοver the cοst οf the new mοtοrbike.

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The value of the Boyce’s home in 2020 can be calculated using the given information. The initial value of the house in 2007 was $196,000. The average annual rate of appreciation is 1.3%. We need to calculate the value of the house in 2020.

Therefore, we need to calculate the number of years from 2007 to 2020 which is 13 years.The formula for the future value of an investment or property with a fixed annual interest rate is given by;FV = PV x (1 + r)n whereFV = future valuePV = present value or initial value of the propertyr = annual interest raten = number of years.

So, using the formula above, the future value of the house in 2020 can be calculated as;FV = $196,000 x (1 + 0.013)13FV = $196,000 x (1.013)13FV = $ 249,389.29 Therefore, the value of the Boyce’s home in 2020 was $249,389.29.

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The 90th percentile of the thermometer readings is approximately 1.282 degrees Celsius.

To find the 90th percentile of the thermometer readings, which are normally distributed with a mean of 0 degrees and a standard deviation of 1 degree Celsius, follow these steps:

1. Look up the z-score corresponding to the 90th percentile in a standard normal distribution table or use a calculator. The z-score for the 90th percentile is approximately 1.282.

2. Since the mean (µ) is 0 and the standard deviation (σ) is 1, use the z-score formula to find the temperature reading at the 90th percentile:

X = µ + z × σ.

3. Substitute the values:

X = 0 + 1.282 × 1.

4. Calculate the result:

X ≈ 1.282 degrees Celsius.

Thus, the 90th percentile of the thermometer readings is approximately 1.282 degrees Celsius.

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The angle measure of each corresponding angle is 102 degrees

An equation is an expression that shows how numbers and variables are related to each other using mathematical operations.

The corresponding angle theory states that if a transversal cross a parallel line, the corresponding angles formed are congruent.

Hence:

3x + 21 = 6x - 60   (corresponding angles are congruent)

3x = 81

x = 27

3x + 21 = 3(27) + 21 = 102 degrees

The angle is 102 degrees

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Answer:

$74.36 sorry all i got

Step-by-step explanation:

First, we need to determine the sales price of the skateboard. The formula for find the discounted prices is:

Where:

is the sales price of the item: what we are solving for in this part of the problem.

is the regular price of the item: $79.16 for this problem.

is the discount rate: 12% for this problem. "Percent" or "%" means "out of 100" or "per 100", Therefore 12% can be written as  

12

100

Substituting and calculating  

gives

79.16

79.16

12

100

79.16

949.92

100

79.16

9.4992

69.6608

69.66

rounded to the nearest cent.

Now we can find the total price of the item with tax included. The formula for this is

#t = p + (p * r)

Where, this time:

is the total price: what we are solving for in this problem.

is the price of the item: it is the sales price of the item for this problem which is $69.66

is the tax rate: 6.75% or, using the same rule as in the formula above:  

6.75

100

Substituting and calculating  

gives:

69.66

69.66

6.75

100

69.66

470.205

100

69.66

4.70205

74.36205

74.36

rounded to the nearest cent.

Noah would pay a total cost (with the discount and after tax) of $74.36

The surface area of a sphere is 314.16 square units.

A sphere is a 3 dimensional figure, which is made up of all points in the space, which lie at a constant distance called the radius, from a fixed point called the center of the sphere.

For the given situation,

The radius of the sphere,r =  5 units

The formula of the surface area of a sphere is

\(A=4\pi r^{2}\)

On substituting the above values,

⇒ \(A=4(3.14)(5)^{2}\)                [∵ π = 3.14]

⇒ \(A=(4)(3.14)(25)\)

⇒ \(A=314.16\)

Hence we can conclude that the surface area of a sphere is 314.16 square units.

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Answer:

5

Step-by-step explanation:

Answer:

x = 75°

Reason:

m∠EFG and m∠ABC are supplementary angles

The probability that at least one of your lights is​ defective is .

The probability of precisely x successes on n repeated trials is known as a binomial probability, and X can only have two possible outcomes.

\(P(X=x)=^nC_rp^x(1-p)^{n-r}\)

Where \(^nC_r\) is the number of different combinations of x objects from a set of n elements and p is the probability.

Now, here 6% lights did not work, so

p=6/100=0.06

n=5

Now, finding the probability that at least one of your lights is​ defective. Either one bulb is defective or no one is defective.

\(P(X=0)+P(x\geq 1)=1\\P(x\geq 1)=1-P(X=0)\)

Now, finding probability of no defective,

\(P(X=0)=^5C_00.06^0(1-0.06)^{5}\\=0.7339\\P(X\geq 1)=1-0.7339\\=0.2661\)

Now, finding the percentage probability,

\(0.2661\times100=26.61\)%

Therefore, the probability that at least one of your lights is​ defective is 26.61%.

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The given question is incomplete here is the complete question:

You purchased a​ five-pack of new light bulbs that were recalled because 6​% of the lights did not work. What is the probability that at least one of your lights is​ defective?.

Answer:

d) 35 degrees

Step-by-step explanation:

60 = 4x-80

4x = 140

x = 35

Answer:

c

Step-by-step explanation yes

At 9:30 a.m., the boat's bearing from Charleston, South Carolina is 13°E, and the distance from Charleston is approximately 255 nautical miles.

To determine the boat's bearing and distance from Charleston, South Carolina at 9:30 a.m., we can break down the given information and calculate the necessary components.

1. Time Elapsed: From 1:00 a.m. to 9:30 a.m., the boat has been traveling for 8 hours and 30 minutes.

2. Initial Speed and Course: From 1:00 a.m. to 6:30 a.m., the boat is heading due east at an average speed of 30 knots. This means it has traveled a distance of 30 knots/hour × 5.5 hours = 165 nautical miles.

3. Change in Course: At 6:30 a.m., the boat changes its course to N13°E. This means it starts moving in a direction that is 13 degrees east of north.

4. Time Since Course Change: From 6:30 a.m. to 9:30 a.m., the boat has been traveling for 3 hours.

To determine the boat's bearing from Charleston, we need to consider its course change. Starting from due east, the boat turns 13 degrees east of north. Therefore, the boat's bearing at 9:30 a.m. is 13 degrees east of north.

To calculate the distance from Charleston, we need to determine the additional distance the boat has traveled from 6:30 a.m. to 9:30 a.m. We can use the boat's average speed during this time, which is 30 knots, and multiply it by the time elapsed, which is 3 hours:

Additional distance = 30 knots/hour × 3 hours = 90 nautical miles.

Adding this additional distance to the distance already traveled (165 nautical miles), we get the total distance from Charleston to be:

Total distance = 165 nautical miles + 90 nautical miles = 255 nautical miles.

Therefore, at 9:30 a.m., the boat's bearing from Charleston, South Carolina is 13°E, and the distance from Charleston is approximately 255 nautical miles.

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The result of completing the square for the equation -6x² - 582 = −60x will be (x - 5)² = - 72.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

The equation is given below.

-6x² - 582 = −60x

Simplify the equation, then we have

-6x² - 582 = −60x

-6(x² + 97) = - 60x

x² + 97 = 10x

x² - 10x = - 97

x² - 10 + 25 = 25 - 97

(x - 5)² = - 72

The result of completing the square for the equation -6x² - 582 = −60x will be (x - 5)² = - 72.

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Answer: p + 5 = new amount

Step-by-step explanation:

You have to write it the way it's read

she has p = current coins

she found 5 more, ( +5 )

write that down and you get p + 5 = new amount

hope this helps

plz mark brainleist

Answer:

50 mins

Step-by-step explanation:

\(\frac{5}{6}\)×1 hour= \(\frac{5}{6}\)×60 minutes

The 60 and the 6 reduce to 10 and 1.

5×10 minutes = 50 minutes.

Answer:

50 minutes

hope this helps. :)

Answer:

1

Step-by-step explanation:

cutei mo boy Chad bleehhh

Answer:

false

Step-by-step explanation:

Answer:

TRUEE

Step-by-step explanation:

If t = 2

\(3t - 4 = 2\)

\(3(2) - 4 = 2\)

\(6 - 4 = 2\)

\(2 = 2\)

Answer:B. C. D. 62°. 1240. 236°. 2480. 6 A minor arc of OP is. 2. If a circle has a diameter of ... Choose the true statement. F a point of tangency. G a tangent line. H a chord ... none of these. 8. 10. A. B. C. D. 19.3 ft. 28.3 ft. 8.9 ft. 17.9 ft. 18. Short Answer.

Step-by-step explanation:

Answer:

41 students

Step-by-step explanation:

We're trying to find what 20% of 205 is so:

We start by converting 20% to a fraction :

20% = 1/5

Then we have

20% of 205 = 1/5 x 205 = 1/5 x 205/1 = 205/5

Notice that 205 was rewritten as the fraction 205/1, and that to multiply two fractions together, you simply multiply the numerators and denominators.

In order to find the simplest form of 205/5 we cancel out the greatest common divisor of 205 and 5, which is 5:

205/5 = 41/1  

So there are 41 5th graders

Mean and standard deviation is more affected by extreme observations.

Mean is the summation of all the values divided by the total number of values. It is also called as average. Median is the middle value.Standard deviation is the dispersion of a dataset relative to its mean. In case of extreme items arithmetic mean is affected very much. For this reason, it no longer remains representative of the distribution. As standard deviation is the positive square root of the arithmetic mean of the square of deviations of all given values, it is also affected by extreme items. As median is a partition value, it is not affected by extreme items.

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Answer:

more money by 25 dollars

Step-by-step explanation:

Spent:

20 *3 = 60

Made:

17*5 =85

-60+85 = 25

Het made 25 dollars over the period

Answer:

If Miguel spent $20 a day for 3 days that's $60 spent.

If he makes $17 a day for 5 days that's $85.

So that means that he ended up with more money than he started with.

he ended up with $25 more than what he started with.

Hope it helps!

The parent function of a quadratic equation is f(x) = x². The function that is transformed to the right and down from the parent function with a minimum is given by f(x) = a(x - h)² + k.

The equation has the same shape as the parent quadratic function. However, it is shifted up, down, left, or right, depending on the values of  a, h, and k.

For a parabola to have a minimum value, the value of a must be positive. If a is negative, the parabola will have a maximum value.To find the vertex of the parabola in this form, we use the vertex form of a quadratic equation:f(x) = a(x - h)² + k, where(h, k) is the vertex of the parabola.The vertex is the point where the parabola changes direction. It is the minimum or maximum point of the parabola. In this case, the parabola is transformed to the right and down from the parent function, f(x) = x². Therefore, h > 0 and k < 0.

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