Three sisters went shopping for Mother’s Day. Each sister bought a gift for their mom. Maggie spent 3 times as much as Karen. Karen spent half as much as Jasmine. All together, they spent $60. Then, solve your equation to determine how much each sister spent on their gift.

Answer:

Option B

Step-by-step explanation:

step 1

Find the measure of angle A

Remember that the sum of the interior angles of a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

substitute the given values

∠A+23.4°+90°=180°

∠A+23.4°+90°=180°-113.4°=66.6°

step 2

Find the length of side BC (a)

Applying the law of sines

c/sin(C)=a/sin(A)

3.3/sin(90)=a/sin(66.6)

a=3.3*sin(66.6)/sin(90)

a=3.0 mm

step 3

Find the length side AC (b)

Applying the law of sines

c/sin(C)=b/sin(B)

3.3/sin(90)=b/sin(23.4)

b=3.3*sin(23.4)/sin(90)

b=1.3 mm

The area watered by the sprinkler is 1117.0 sq. feet. The sprinkler sprays in a circular direction with an angle of 80° and a radius of 40 feet.

Given that,

The sprinkler sprays over a distance of 40 feet i.e., r = 40 feet

The sprinkler rotates at an angle of 80°

So, the area watered by the sprinkler is

= [tex]\frac{80}{360}[/tex] × π × r²

= 0.22 × π × (40)²

= 1117.0 sq. feet

Therefore, the area is 1117.0 sq. feet.

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The area watered by the sprinkler is approximately [tex]\(286.48\)[/tex] square feet, calculated from [tex]\(A = \frac{8100}{9\pi}\).[/tex]

Step 1:

Recognize that the sprinkler's watered area forms a sector of a circle.

Step 2:

Calculate the radius [tex](\(r\))[/tex] of the circle using the formula for the arc length: [tex]\(s = r\theta\)[/tex], where [tex]\(s\)[/tex] is the arc length and [tex]\(\theta\)[/tex] is the angle in radians.

Step 3:

Convert the given angle of 80 degrees to radians: [tex]\(80^\circ \times \frac{\pi}{180} = \frac{4\pi}{9}\)[/tex] radians.

Step 4:

Substitute the given arc length [tex]\(s = 40\)[/tex] feet and angle [tex]\(\theta = \frac{4\pi}{9}\)[/tex] into the formula to find [tex]\(r\): \(40 = r \times \frac{4\pi}{9}\).[/tex]

Step 5:

Solve for [tex]\(r\): \(r = \frac{40 \times 9}{4\pi} = \frac{90}{\pi}\)[/tex] feet.

Step 6:

Calculate the area [tex](\(A\))[/tex] of the sector using the formula: [tex]\(A = \frac{1}{2} r^2 \theta\).[/tex]

Step 7:

Substitute the values of [tex]\(r\)[/tex] and [tex]\(\theta\)[/tex] into the formula: [tex]\(A = \frac{1}{2} \times \left(\frac{90}{\pi}\right)^2 \times \frac{4\pi}{9}\)[/tex].

Step 8:

Simplify the expression to find the area: [tex]\(A = \frac{8100}{9\pi} \approx 286.48\)[/tex] square feet.

Therefore, the area watered by the sprinkler is approximately [tex]\(286.48\)[/tex] square feet.

========================================================

Explanation:

There are 6 red marbles out of 10+6+3 = 19 total. So 6/19 is the probability of picking one red marble. If that marble is not replaced, then we have 6-1 = 5 red marbles left out of 19-1 = 18 total. The probability of picking another red is 5/18

We have 6/19 as the probability of picking red the first time, then 5/18 as the probability of picking another red marble. The first marble is not put back, and that marble is not replaced.

--------------------------

In terms of math notation, we can say

A = event of picking red on the first selection

B = event of picking red on the second selection

P(A) = 6/19

P(B|A) = 5/18

P(A and B) = P(A)*P(B|A)

P(A and B) = 6/19 * 5/18

Answer:

Add the two equations together to eliminate y

Step-by-step explanation:

X+y=3

4x-y=7

I would use elimination since one equation has +y and one equation has -y

Add the two equations together

X+y=3

4x-y=7

-------------------

5x = 10

if you multiply the number of necklaces sold by 4 for all 4 values in the first column of the table then you should get the value in the second column of the table

Table {4} represents the correct function that represents the profit function.

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is that Sara sells beaded necklaces she makes a profit of 4 dollars every necklace she sells.

Assume that she sells {x} necklaces in total. So, we can write the function for Sara's profit as -

y = 4x

We can see that table {4} is represented by the profit function.

Therefore, table {4} represents the correct function that represents the profit function.

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Answer:

0.625 is a decimal and 62.5/100 or 62.5% is the percentage for 10/16.

Step-by-step explanation:

Please mark brainliest and have a great day!

[tex]\text{Hey there!}[/tex]

[tex]\frac{10}{16}=10\div16= 0.625[/tex]

[tex]\boxed{\boxed{\text{Answer: 0.625}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Heyyyyyyy

C is the answer

I had the same ques

L m a o

Answer:

C) A number line with an open circle on −8, shading to the left, and a closed circle on 9, shading to the right

Step-by-step explanation:

Given compound inequality,

x − 3 < −11 or x + 5 greater than or equal to 14.

⇒ x − 3 < −11 or x + 5 ≥ 14.

⇒ x < - 11 + 3 or x ≥ 14 - 5

⇒ x < -8 or x ≥ 9

Thus, the possible values of x are all real numbers less than -8 excluding -8 and all real numbers greater than 9 including 9,

That is, x ∈ (-∞, -8 ) ∪ [ 9, ∞ )

In the number line the numbers are arranged in ascending order from left to right also in the interval the excluded number is represented by open circle and included number is represented by closed circle.

Hence, correct option is,

A number line with an open circle on −8, shading to the left, and a closed circle on 9, shading to the right

Step-by-step explanation:

75.99 ×.0625=4.749

75.99+4.75(because I rounded)=

$80.74 total cost incase you have another step

75.99 ×.0625 = 4.749

I rounded to get 4.75.

75.99 + 4.75 = $80.74

$80.74 - $75.99 = $4.75

Answer: $4.75

1/2, 3/8, 5/16, 9/12, and 30/64. Hope this helped!

Answer: 1/2, 9/12, 3/8, 5/16, 15/32

Step-by-step explanation:

(divide 3) 9/12 (divide 3)

                =3/4

(divide 2)30/64 (divide 2)

              =15/32

Answer:

Distributive law of multiplication

Step-by-step explanation:

Answer:

Step-by-step explanation

A: No it is not the inverse law of multiplication which has something to do with division.

B: is your answer.

C: It is not the commutative Law. An example of that would be a*b =b*a

D: Identity of multiplication is 1.

Answer:

Step-by-step explanation:

2/3 yard          2 yd

--------------- = ---------------- = 1/6 yd / piece

4 pieces        12 pieces

Alternatively:  Use inches:

 24 inches

------------------ = 6 inches/piece   = 1/6 yd / piece

 4 pieces

The greatest possible error for a measurement of 10 1/8 oz is ± 1/16 oz, considering that 1/8 oz is the smallest visible increment on the measuring scale.

The greatest possible error in a measurement refers to the smallest unit that the measuring instrument can discern. In the case of the measurement 10 1/8 oz, we consider the precision of the measuring tool used.

If the smallest division the scale can measure to is 1/8 oz, then the greatest possible error in this case would be ± 1/16 oz. This is because 1/8 oz is the smallest increment visible on the scale, and the actual measurement could be halfway between two increments.

The concept of greatest possible error is critical in determining the accuracy and precision of a measurement. It helps to understand how reliable a given measurement is.

For example, when taking several measurements of the same quantity, like the weight of grocery items, there is often a small variation. This variation is a normal part of measuring and can be due to the limitations of the measuring tool or the person taking the measurement.

Final answer:

The greatest possible error for the measurement of 10 1/8 oz is +/- 1/16 oz, which accounts for the uncertainty of the least precise digit in the measurement.

Explanation:

When considering the greatest possible error for a measurement, it's important to understand that this refers to the uncertainty associated with the least precise digit of the measurement. For a measurement like 10 1/8 ounces, if we are using a standard measuring device that has graduations for every 1/8 of an ounce, then the greatest possible error is half of the smallest unit measured, which in this case is 1/16 of an ounce.

The reason for this is because when a measurement falls between two lines or markings, the measurer must estimate the value to the nearest possible marking. If the measurement is exactly on a line, or marking, there is no need to estimate, but if it is not, then the convention is to record the number to the nearest marking and recognize that there's a potential error up to half the distance to the next marking. So, for the given measurement of 10 1/8 ounces, the greatest possible error would be +/- 1/16 of an ounce.

Answer:

- 768

Step-by-step explanation:

Substitute n = 8 into the explicit formula, that is

[tex]a_{8}[/tex] = 6 × [tex](-2)^{7}[/tex] = 6 × - 128 = - 768

Answer:

Option 1 [tex]-2a+2c[/tex]

Step-by-step explanation:

To find :  Take [tex]4a - 3b + 2c[/tex] from [tex]2a - 3b + 4c[/tex].

Solution :

The equation [tex]4a - 3b + 2c[/tex] ....(1)

[tex]2a - 3b + 4c[/tex] ....(2)

Taking (1) from (2) means subtracting equitation (2) from (1),

i.e [tex]=(2a - 3b + 4c)-(4a - 3b + 2c)[/tex]

[tex]=2a - 3b + 4c-4a+3b-2c[/tex]

[tex]=-2a+2c[/tex]

So, Taking  [tex]4a - 3b + 2c[/tex] from [tex]2a - 3b + 4c[/tex] is [tex]-2a+2c[/tex]

Therefore, Option 1 is correct.

Martha should start planning early for her college expenses by seeking advice from school counselors, creating a budget, and researching financial aid such as grants, scholarships, and loans. She should be proactive in understanding the costs associated with her post-graduation lifestyle and utilize tools like the Reality Check to create a comprehensive plan.

Martha can take several important steps to ensure she has money to pay for college, which she should start thinking about as she enters high school. These steps include:

Additionally, she should consider exploring different post-secondary options like college, trade schools, or military service, all of which can influence the type and amount of financial planning needed.

Talking to parents and using resources like the Jumpstart Coalition's Reality Check will help Martha gain insights into the cost of her desired lifestyle post-graduation and plan accordingly to ensure she can afford her education and future expenses.

Answer: (4.5, 6.5) is your solution

Step-by-step explanation:

You need either the x term or the y term to be the same in both equations so you can eliminate them...

8x=2y+5

6x=2y+14

Now you can subtract the two equations...

2x=9

Divide 9 by 2....

x=4.5 or 4 1/2

Plug in x into one of the original equations to find y...

13.5=y+7

Subtract 7 from 13.5...

6.5=y

Final answer:

Kevin can safely take sacks weighing up to 308.33 pounds each in the elevator, provided he takes six sacks at a time and the elevator's capacity is 2,000 pounds with Kevin weighing 150 pounds.

Explanation:

The student's question is asking for the maximum weight of each sack of grain that Kevin can deliver on the elevator, given the elevator's weight capacity and the additional weight of Kevin himself. To answer this question, we need to consider the weight that the elevator can hold minus Kevin's weight, and then determine how much weight is left for the sacks of grain.

The elevator has a capacity of 2,000 pounds, and Kevin weighs 150 pounds. This means the total weight that the elevator can carry in addition to Kevin is:

2000 pounds (elevator capacity) - 150 pounds (Kevin's weight) = 1850 pounds (available for sacks)

If Kevin needs to deliver six sacks at a time, we can divide the total available weight by six to find the maximum weight for each sack:

1850 pounds / 6 sacks = approximately 308.33 pounds per sack

Therefore, the weight of each sack must be 308.33 pounds or less for Kevin to safely use the elevator without exceeding its capacity.

Answer:

20

Step-by-step explanation:

100% - 20% = 80%.

80% of 25 = 25 x 0.8 = 20

When the number 25 is decreased by 20%, the result is 20.

To find the result when the number $25 is decreased by 20%, we need to calculate 20% of 25 and subtract that from 25.

20% of 25 is (20/100) x 25 = 5.

Subtracting 5 from 25, we get the result as 20.

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Answer:

9 hr

Step-by-step explanation:

vary directly means you should think about a constant being multiply to one variable to get another variable.

So we have E=kH

where E=earnings and H=hours and k is the constant of proportionality

So they give us when H=7 we have E=77 giving us 77=k(7) which means the constant of proportionality is 11

So that means no matter what the E and H are k is 11

So we have the equation is E=11H

Replace E with 99 and solve for H

99=11(H)

So H=9

9 hours

Answer:

$ 0.30

Step-by-step explanation:

Given:

Average daily balance = $20

Daily period rate = 0.05%

Number of days in a cycle = 30 days

The formula to calculate the monthly Finance Charge is:

Monthly finance charge = Balance x APR x (Number of days)/365

We are given the Daily period Rate which is calculated as:

Daily period rate = APR/365

Therefore, we can write the above equation as:

Monthly finance charge = Balance x Daily Periodic Rate x Number of days

Using the given values, we get:

Monthly finance charge = 20 x 0.0005 x 30 = $ 0.30

Therefore, the monthly finance charge would be $ 0.30

Answer:

The answer is $0.30 or 30 cents

Step-by-step explanation:

From the question Given, we recall the following statement

The monthly finance charge if the average daily balance =$20

The daily periodic rate is =0.05%

The number of days in the cycle is =30

We solve for the monthly finance charge

We apply  the monthly Finance Charge formula:

Monthly finance charge = Balance x APR x (Number of days)/365

Thus,

20 x  0.05% = 0.01

0.01 x 30 days = 0.30  

Therefore the monthly finance charge is = $0.30 or 30cents or 30¢

Answer:

It's between C and D. I would say it's D.

Step-by-step explanation:

Hope my answer has helped you!

By: Syrenity Holford

Answer:

x = 2

Step-by-step explanation:

Given

1 + x = 7 - 2x ( add 2x to both sides )

1 + 3x = 7 ( subtract 1 from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

Answer:

-2 + i

Step-by-step explanation:

v = -3i

w = 2 - 4i

v - w =

= -3i - (2 - 4i)

= -3i - 2 + 4i

= -2 + i

The given value of  v = -3i and w = 2-4i, so v-w = -2 + i.

Given: v = -3i, w = 2-4i

To find: v - w

Solution:

Substitute the values of v and w into the expression v - w.

v - w = -3i - (2-4i)

v - w = -3i - 2 + 4i

v - w = -2 + i

Answer:

14 cm²

Step-by-step explanation:

Using the formula given to calculate the area

with b = 7 and h = 4, then

A = [tex]\frac{1}{2}[/tex] × 7 × 4 = 0.5 × 28 = 14 cm²

Answer:

[tex]\large\boxed{f^{-1}(x)=\dfrac{3x+51}{2}=\dfrac{3}{2}x+\dfrac{51}{2}}[/tex]

Step-by-step explanation:

[tex]f(x)=\dfrac{2x}{3}-17\to y=\dfrac{2x}{3}-17\\\\\text{exchange x to y and vice versa:}\\\\x=\dfrac{2y}{3}-17\\\\\text{solve fro y:}\\\\\dfrac{2y}{3}-17=x\qquad\text{add 17 to both sides}\\\\\dfrac{2y}{3}=x+17\qquad\text{multiply both sides by 3}\\\\2y=3x+51\qquad\text{divide both sides by 2}\\\\y=\dfrac{3x+51}{2}=\dfrac{3}{2}x+\dfrac{51}{2}[/tex]

Answer:

a = -2 and b=4 and c = -4

Step-by-step explanation:

the center is : A(1 ; -2)

B(1 ; 1) in this circle so ; AB= r  (  ridus)...r =3

note :

an equation of the circle Center at the A(1,-2) and ridus : r is :

(x-1)² +(y+2)² = 3²  

x²-2x+1  +y²+4y +4-9 =0

x²+y² -2x+4y -4 = 0   so : a = -2 and b=4 and c = -4

Answer:

z = [tex]\frac{y-x}{3y-x}[/tex]

Step-by-step explanation:

2x+6yz=2xz+2y  (rearrange so that z is on one side)

6yz - 2xz = 2y - 2x   (divide both sides by 2)

3yz - xz = y - x   (factor our z from LHS)

z (3y - x) = y - x

z = [tex]\frac{y-x}{3y-x}[/tex]

[tex]|\Omega|=16\cdot15=240\\|A|=4\cdot3=12\\\\P(A)=\dfrac{12}{240}=\dfrac{1}{20}=5\%[/tex]

Answer:

it is 21 because 9+10=19+2=21-10=11+10=21 its magic

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

9 + 10 = 19

It is impossible for it to be 21.

10

9

----

1 9

Hope this helps.

Alice.

Answer:

V=4/3 πr3

I belive it is.

Answer:

V=121.5pi cm^2

Step-by-step explanation:

V=(4/3)*pi*r^3

V=(4/3)*pi*91.125

V=121.5pi cm^2