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Degger [83]
3 years ago
6

Explain the the mistake in the student work

Mathematics
1 answer:
jeka943 years ago
3 0
He needed to divide instead of subtracting it on the last step.
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Adam has 16.45 kg of flour, and the uses 6.4 to make hot cross buns. The remaining flour is exactly enough to make 15 batches of
White raven [17]

Answer: 0.6kg of flour will be in each batch of scones.

Step-by-step explanation:

Adam has 16.45 kg of flour, and he used 6.4kg to make hot cross buns. This means that the remaining flour would be the total amount of flour that he had initially minus the the amount that he used to make hot cross buns. This is expressed as

16.5 - 6.4 = 10.05 kg

The remaining flour is exactly enough to make 15 batches of scones. This means that 10.05 kg of flour will be enough to make 15 batches of scones.

We want to determine how much flour, in kg, will be in each batch of scones. Let this amount of flour be xkg

If 10.05 kg of flour will be used to make 15 batches of scones. Then,

xkg of flour will be used to make 1 batch if stones

x = 10.05/15

x = 0.67

5 0
3 years ago
Read 2 more answers
In the accompanying diagram of right triangle ABC, the hypotenuse if AB, AC = 3, BC = 4, and AB = 5. Sin B is equal to
Trava [24]

Answer:sin(B)=\frac{3}{5}

Step-by-step explanation:

We are given that a triangle ABC is a Right Angled Triangle. The side AB is hypotenuse, so the angle opposite to side AB which will be angle C is a Right Angle (measures 90 degrees)

We have the side length of all 3 sides. Based on this information, we can construct a triangle with given measures. The triangle is shown in the attached image.

We have to find the value of Sin(B). Sin of an angle is defined as:

sin(\theta)=\frac{\text{Opposite Side}}{\text{Hypotenuse}}

The side opposite to angle B is AC with a length of 3 and hypotenuse is side AB with length 5. So Sin of angle B would be:

sin(B)=\frac{3}{5}

8 0
3 years ago
Can someone please explain how to get the answer I've watched multiple videos on implicit derivatives and I still cant figure it
Arisa [49]

We're given the implicit equation

x² + 2x + y² - 4y = 12

where "implicit" means that one of the variables is considered a function of the other. In this case, the variable y = y(x) depends on the value of the variable x - in other words, the possible values of y are implied by the value of x. We then say that this equation defines y as an implicit function of x.

We're also given the implicit derivative,

dy/dx = (-2x - 2)/(2y - 4)

which tells us the rate of change y as a function of both x and y. The value of dy/dx corresponds to the slope of the tangent line to the curve defined by the implicit equation above at some point (x, y).

The tangent line is horizontal when its slope is zero. This happens when

(-2x - 2)/(2y - 4) = 0

If y ≠ 2, then we can eliminate the denominator and we're left with

-2x - 2 = 0

Solve for x :

-2x = 2

x = -1

This tells us that the points on the curve with x-coordinate -1 have a tangent line to the curve that is horizontal.

The tangent line is vertical when its slope is undefined/infinite, or equivalently when the denominator of dy/dx is zero:

2y - 4 = 0

Solve for y :

2y = 4

y = 2

So any point on the curve with y-coordinate 2 will have a tangent line there that is vertical.

By completing the square in the implicit equation, we can easily identify where these points are located.

x² + 2x + y² - 4y = 12

x² + 2x + 1 + y² - 4y + 4 = 17

(x + 1)² + (y - 2)² = 17

This equation defines a circle centered at (-1, 2) with radius √17. When x = -1, we have

(y - 2)² = 17   ⇒   y = 2 ± √17

and when y = 2, we have

(x + 1)² = 17   ⇒   x = -1 ± √17

See the attached plot to see the circle and the tangents at these points.

7 0
2 years ago
One study found that the number of interest groups increased by what percentage between 1959 and 1995?
FrozenT [24]

Answer:

Percentage change in interest groups between 1959 (500) & 1995 (600) = 20%

Step-by-step explanation:

Percentage change = <u>Change ie (New - Old)  </u>  x 100

                                        Old value

Suppose -

Number of interest groups in 1959 = 500

Number of interest groups in 1995 = 600

Percentage change = [ (600 - 500) / 500 ] x 100

( 100 / 500 ) x 100 = 20%

6 0
3 years ago
What is -2/3 divided by 1/3
Dvinal [7]
-2/3 ÷ 1/3
=(-2 × 3) / (1 × 3)
= -6/3
= -2/1
<span>= -2</span>
4 0
3 years ago
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