6 and 3/4 cups of fruit salad was made. They ate 1/3 of the salad. How much fruit salad did they eat?

Answer:

Hope this helps you

The value of the missing side using Sine rule is 7.42

compute the value of third angle :

180 - (60+80) = 40°

From Sine rule :

a/sinA = b/sinB

let a = missing side

a/sin40= 10/sin60

cross multiply

a* sin60 = 10 * sin40

a = 6.4278/sin60

a = 7.42

Therefore, the value of the missing side is 7.42

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Answer: 16,200,000

Step-by-step explanation: divide both numbers

The future value of her deposit would be in 5 years.

The total amount needed to start a cupcake cafe venture

= $9,000

Deposit per year = $1,800

Therefore, if $1,800 = 1 year

$9,000 = X

\(x = \frac{9000}{1800} \)

\(x = 5\)

Therefore in 5 years, Jamie Lee would be able to start her cupcake café venture.

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Answer:If you wish to know the equation for finding the circumference, it's quite simple actually. the equation is: 2πr. it's best to write down important equation if you cant remember them very well.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is 63ft

Answer:

2/5 or 0.4.

Step-by-step explanation:

6/15 = 2/5

In accordance with the exponential model, the current forest area is equal to 2801.149 square kilometers after six years.  

According with statement, the forest area decreases exponentially in time. Then, the exponential model is defined by following model:

n(x) = n' · (1 - r)ˣ

Where:

If we know that n' = 4400 km², r = 0.0725 and x = 6 yr, then the current forest area is:

n(6) = 4400 · (1 - 0.0725)⁶

n(6) = 2801.149

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Answer:

A.) 0.0426

B) 0.073121

C.) 0.96958

D.) 1.2 seconds

E.) 1.689 < x < 6.785

Step-by-step explanation:

Given a normal distribution :

Mean download time (m) = 4.237 seconds

Standard deviation (s) = 1.3 seconds

A.) Probability that download time is less than 2 seconds :

P(x < 2)

Obtain standardized score (Z) :

Z = (x - m) / s

Z = (2 - 4.237) / 1.3

Z = −1.720769

P(Z < - 1.7208) = 0.0426 (Z probability calculator)

B.) Between 1.5 and 2.5 seconds :

1.5 < z < 2.5

((x - m) / s) < z <((x - m) / s)

((1.5 - 4.237) / 1.3) < z < ((2.5 - 4.237) / 1.3)

−2.105384 < z < −1.336153

P(Z < - 2.10538) = 0.017629

P(Z −1.336153) = 0.09075

0.09075 - 0.017629 = 0.073121

C.) Above 1.8 seconds

P(x > 1.8)

Obtain standardized score (Z) :

Z = (x - m) / s

Z = (1.8 - 4.237) / 1.3

Z = −1.874615

P(Z > −1.874615) = 0.96958 (Z probability calculator)

D.) 99% of the download times are slower (higher) than how many seconds?

P(Z > x) = 99% = 0.99

Z value corresponds to -2.326

Z = (x - m) / s

-2.326 = (x - 4.237) / 1.3

-2.326 * 1.3 = x - 4.237

−3.0238 = x - 4.237

−3.0238 + 4.237 = x

x = 1.2132

x = 1.2 seconds

E. 95% of the download times are between what two values, symmetrically distributed around the mean?

For symmetric distribution around the mean ;

P(-Z<x<Z) = 0.95

Corresponds to a z value of 1.96

-1.96 * 1.3 = x - 4.237

-2.548 = x - 4.237

x = - 2.548 + 4.237

x = 1.689

1.96 * 1.3 = x - 4.237

2.548 = x - 4.237

x = 2.548 + 4.237

x = 6.785

1.689 < x < 6.785

Answer:

7x-21

Solution:

7 times x and 7 times negative 3

Answer:

\(\huge\boxed{\sf{7x-21}}\)

Step-by-step explanation:

Hello.

The Distributive property states that

a(b+c)=ab+ac

Where

a, b, and c = variables/constants

Now, simplify the expression:

7(x-3)

Multiply x and 3 times 7 and subtract the products:

7x-21

I hope it helps & have an outstanding day.

\(\boxed{imperturbability}\)

The other endpoint of a line segment JK is K(- 6, 31).

The formula for midpoint \(x_m\) = (x₁ + x₂)/2 and \(y_m\) = (y₁ + y₂)/2.

Where x₁, y₁, and x₂, y₂ are the endpoint of the line.

Given, The midpoint of JK is point L at (-1, 8) and One endpoint is J(4, - 15).

Assuming the other endpoint(K) to be (x₂, y₂).

∴ - 1 = (4 + x₂)/2.

- 2 = 4 + x₂.

x₂ = - 6.

And,

8 = (- 15 +  y₂)/2.

16 = - 15 +  y₂.

y₂ = 31.

So, K(- 6, 31).

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Answer:

  $0.49 per soda

Step-by-step explanation:

The cost per soda is found by dividing the cost by the number of sodas.

__

  $5.86/(12 sodas) = $0.48833.../soda ≈ $0.49/soda

The unit rate is $0.49 per soda.

Answer:

He would need to buy 39 more. 25 plus 36 is 61. 100 minus 61 is 39. therefore, he needs to buy 39 more i hope this helped if it did could i have brainliest thanks!

Answer:

-0.8

Step-by-step explanation:

-4.2 + - (0.6) /6

-4.2 - 0.6 / 6

-4.8/6

-0.8

The ship started at the Position 0.14 units.

To determine the starting position of the ship, we can consider the distance sailed to the left and the distance to the treasure.

Given that you sailed 0.055 units to the left and found the treasure at 0.085 units, we can represent this situation mathematically as follows:

Starting position + Distance sailed to the left = Distance to the treasure

Let's assign a variable, "x," to represent the starting position of the ship.

The equation becomes:

x - 0.055 = 0.085

To find the value of x, we can solve this equation by isolating x on one side:

x = 0.085 + 0.055

x = 0.14

Therefore, the ship started at the position 0.14 units.

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Answer:

Imani traveled faster because her distance surpassed Linda's distance after the fourth hour.

Step-by-step explanation:

1. Understand the slope:

      Ok, so the slope basically tells us how fast Imani and Linda traveled, so if we solve for the slope we know how fast Imani and Linda traveled.

2. Find Linda's slope:

      - Take any two points: (0,10) and (1, 65).

      Slope = (y1 - y2)/(x1 - x2)

                = (65-10)/(1-0)

                   = 55

    Since the slope is 55, we know her speed is 55 miles per hour.

2. Find Imani's slope:

      - Take any two points: (0,0) and (1, 60).

      Slope = (y1 - y2)/(x1 - x2)

                = (60-0)/(1-0)

                   = 60

    Since the slope is 60, we know her speed is 60 miles per hour.  

3. Compare: Since 60>55, we know Imani traveled faster. If we look at options, we can see there's only one answer which shows that Imani traveled faster, so that must be the answer.

Linda travelled faster than Imani. Therefore, option A and B are correct options.

The coordinates from the given graph are (2, 120) and (4, 240).

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

Slope with (2, 120) and (4, 240) is

Slope (y2-y1)/(x2-x1)

= (240-120)/(4-2)

= 120/2

= 60

Put m=60 and (x, y)=(2, 120) in y=mx+c, we get

120=60(2)+c

c=0

So, equation is y=60x

Put x=0, 1, 2, 3 and 4, we get

y= 0, 60, 120, 180, 240

(0, 0), (1, 60), (2, 120), (3, 180) and (4, 240)

Linda travelled faster than Imani. Therefore, option A and B are correct options.

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The equivalent expression is 5 - 3x/2. Option D

Algebraic expressions are described as expressions that are made up of variables, their coefficients, factors and constants.

these algebraic expressions are also composed of mathematical operations. These operations includes;

From the information given, we have that;

1/ 4(8 - 6x + 12)

expand the bracket, we have;

Add the like terms

1/4(20 - 6x)

now, multiply the values, we have;

20 - 6x/4

Divide by the denominator

5 - 3x/2

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The complete question:

Simply the expression:

1/ 4(8 - 6x + 12)

Step-by-step explanation:

if you are not sure check 3/4 into the equation

Answer:

yes

Step-by-step explanation:

doubling one dimension increases the the volume of the surface

Answer:

yes he is correct.

Step-by-step explanation:

GivenDimension of the toolbox is suppose the length of the box is doubled, then a new length will be So, the volume of the box becomesIt can also be written asi.e. the volume of the toolbox is doubled. Therefore, Andrea is correct.

Answer: $385.50

Step-by-step explanation: 25,700x1.5% = 385.50

Answer:

no solution

Step-by-step explanation:

to solve this we should first distribute

3 - 4x + 10 < -4x - 2 (fyi you need to multiply the negatives into the parenthesis)

and then you combine like terms

13 < -2

because 13 is always greater than -2, this statement will never be true

Answer:

Step-by-step explanation:

This inequality is false hence no solution

Answer:

To simplify the expression (a÷b)³×(b÷c)×(c÷a)³ when a=3, b=a², c=a³, we can substitute the given values and perform the calculations.

Substituting the values of a, b, and c:

a = 3

b = a² = 3² = 9

c = a³ = 3³ = 27

Now let's simplify the expression:

(a÷b)³×(b÷c)×(c÷a)³

(3÷9)³×(9÷27)×(27÷3)³

Simplifying each term:

(3÷9) = 1/3

(9÷27) = 1/3

(27÷3) = 9

Now we can substitute the simplified values back into the expression:

(1/3)³×(1/3)×9

Simplifying further:

(1/27)×(1/3)×9

1/9

Therefore, the simplified expression is 1/9.

The correct answer is: O Yes, distance and angle measure are preserved.

When a triangle ABC is reflected across the line y = x, the pre-image and image are congruent.

This is because the line y = x is the perpendicular bisector of the segment joining each corresponding point of the pre-image and image.

Reflection across the line y = x is a type of transformation known as an isometry, which preserves both distance and angle measure.

Here's why:

Distance preservation:

When a point is reflected across the line y = x, the distance between the original point and its reflection remains the same.

This holds true for all corresponding points of the triangle.

Therefore, the distance between any two corresponding points in the pre-image and image triangle will be equal, resulting in distance preservation.

Angle preservation: When a line segment is reflected across the line y = x, the angle between the line segment and the line y = x is preserved. This means that the corresponding angles in the pre-image and image triangle will be congruent.

Since both distance and angle measure are preserved during reflection across the line y = x, the pre-image and image triangles are congruent.

It's important to note that congruence under reflection across a line holds only when the line of reflection is the same for both the pre-image and image.

If the line of reflection were different, the triangles would not be congruent.

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Answer:

C. where the start point is on (3,0) and goes up and to the right

Step-by-step explanation:

y= √x−3

Swap sides so that all variable terms are on the left hand side.

√x−3 =y

Square both sides of the equation.

x−3=y^2

Add 3 to both sides of the equation.

x−3−(−3)=y^2 −(−3)

Subtracting −3 from itself leaves 0.

x=y^2 −(−3)

Subtract −3 from y^2.

x=y^2 +3

Answer: 17/24

Step-by-step explanation:

let x be the fertilizer used in the flower bed

to find how much he has left

1 3/8 - x = 2/3

the fraction 1 3/8 we can write as 11/8

11/8 - x = 2/3

11/8 -2/3= x

we need the common denominator between 8 and 3, which is 24

33/24-16/24=17/24

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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Answer:

18

Step-by-step explanation:

If you multiply negative numbers together they will cancel out and become positive. So -3 x (-6) is 18.

Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522

Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.

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Answer:

Step-by-step explanation

1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.

Now let's check if this result is correct:

1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.

So we have shown that each family paid **Rs 13,522** for the trip

Answer:

I think its C

Step-by-step explanation: