For a large order, Mr. Magoo made 3/8 kg of fudge in his bakery. He then got 1/6 kg from his sister’s bakery. If he needs a total of 1 1/2 kg, how much more fudge does he need to make? Put your answer in fraction form. Example: Mr. Magoo needs to make #/# more fudge.


(PS: Please show your work)

Answer:

The rate of temperatures in Celsius each hour

Step-by-step explanation:

Answer:

\(A= 35.8\)

Step-by-step explanation:

Given

\(sin(53.2) = cos(A)\)

Required

Find A

In trigonometry

\(sin(\alpha) = cos(\theta)\)

Then

\(\alpha + \theta = 90\)

So, this gives:

\(54.2 + A= 90\)

Make A the subject

\(A= 90-54.2\)

\(A= 35.8\)

Answer: 178 1/4 or 713/4

Step-by-step explanation:

178.25 = 178+0.25 = 178+25/100

gcd(25,100) = 25

178.25 = 178+(25/25)/(100/25) = 178+1/4 = 713/4

Answer:

54

Step-by-step explanation:

\( \frac{1}{2}base \times height\)

\( \frac{1}{2} 12 \times 9\)

54

According to the angles between intersecting secant and tangent, the value of

angle DF is 52 degrees

angle PQR = 49 degrees

The value of angle DF is solved using the angles of intersecting secant out side the circle

The theorem give the formula in the form

44 = 1/2 (140 - DF)

88 = 140 - DF

DF = 140 - 88

DF = 52 degrees

Using intersection of tangents, for the second figure

exterior angle = 1/2 (major arc - minor arc)

major arc = 360 - 131 = 229

PQR = 1/2 (229 - 131)

PQR = 49 degrees

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The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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The school bus will take 5.34 seconds to travel 95.1 m if the bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

Any equation of the form \(\rm ax^2+bx+c=0\) where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

\(\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}\)

We have:

A school bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

From the second equation of motion:

\(\rm s = u + \dfrac{1}{2}at^2\)

We have given:

s = 95.1 m

u = 26.8 m/s

a = 4.73 m/s²

\(\rm 95.1 = 26.8 + \dfrac{1}{2}(4.73)t^2\)

The above equation is a quadratic equation:

After simplification:

\(\rm \dfrac{4.73}{2}t^2=68.3\)

\(\rm t^2=28.879\)

t = 5.373 seconds ≈ 5.34 seconds

Thus, the school bus will take 5.34 seconds to travel 95.1 m if the bus is moving 26.8 m/s on flat ground when it begins to accelerate at 4.73 m/s².

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Answer:

It is the last one.

Step-by-step explanation:

first one:4 and 10 is not prime, but still equal 80

So, turn 4 and 10 into prime numbers

1. 10=2x5

2.4=2x2

3. 80's prime factorzation: 2x2x2x2x5

Answer: A≈527.79m²

Step-by-step explanation:

HOPE THIS HELPS

Answer:

B.) 84m3

Step-by-step explanation:

V = 1/3 pi r2 h

1/3 × 22/7 × 4 × 4 × 5

84m3

The number of students who participated in the survey, based on the histogram showing the number of hours students watch television on the weekend, is 125.

A histogram is a pictorial or graphical representation of categorical data, proportional to the frequency of a variable and whose width is equal to the class interval.

The number of students who watched between 0 - 4 hours = 20

The number of students who watched between 5 - 9 hours = 40

The number of students who watched between 10 - 14 hours = 30

The number of students who watched between 15 - 19 hours = 20

The number of students who watched between 20 - 24 hours = 15

The total number of students who participated = 125

Thus, using the histogram, the total number of students who participated in the survey was 125.

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The equation which represents the relationship between X values and Y values can be found by deriving the equation of line using slope intercept form. The equation of line is 3x - 5y = 25.

How to find equation of line using slope intercept form?

Equation of line using slope intercept form is y = mx + b

where m is slope of the line and b is y-intercept

The slope intercept can be used to form equation of line using two points on the line.

According to the given question:

The two points which lie on the line are (x, y) = (5, -2) and (x', y') = (0, -5)

Slope of the line m = y' - y/x' - x

                               = (-5 +2)/(0 - 5)

                               = 3/5

Now y intercept b = y - mx

                              = -2 - (3/5. 5)

                              = -5

Therefore the required equation of line is y = 3/5x - 5

On simplifying further 3x - 5y = 25

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The length of ST is equal to 8 units.

Data;

The segment of a line is basically a straight line from one point to another.

The line segment is SU and the mid-point is TU

solving this mathematically,

\(SU = TU + ST\)

Substitute the values into the equation

\(su = tu + st\\18 = 10 + st\\st = 18 - 10\\st = 8\)

From the calculation above, the length of ST is 8.

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Answer:

B

Step-by-step explanation:

Maria has $5.00 more than José

Maria, M

Jose, j

M = j + $5

j + M = $37.50

j + j + $5 = $37.50

The amount of money José has is $16.25.

An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

Maria has $5.00 more than José.

Together they have. $37.50.

Let, the amount of money José has be x.

Based on the given conditions, formulate:

\(\rm 5+2\times x=37.50\\\\5+2x=37.50\\\\2x=37.50-5\\\\2x=32.50\\\\x=\dfrac{32.50}{2}\\\\x= 16.25\)

Hence, the amount of money José has is $16.25.

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Answer:

\(3\sqrt{22}\)

Step-by-step explanation:

The product of roots with the same index is equal to the root of the product \(3\sqrt{11*2}\)

Multiply

Answer:

Step-by-Step Explanation:

Sarah:

1 Box = 2 Balls

There are 2 boxes which is 4.

Mel:

1 Box = 3 Balls

There are 2 boxes so  3 + 3 = 6

so 6-4 = 2

Therefore, Mel has 2 more balls than Sarah has.

The members of the given set in this problem are given as follows:

X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}

The union and intersection sets of multiple sets are defined as follows:

The intersection of the sets Y and Z for this problem is given as follows:

Y ∩ Z = {0, 6, 23, 26}

(which are the elements that belong to both of the sets).

The union of the above set with the set X is given as follows:

X U (Y ∩ Z) = {p, q, r, 0, 6, 21, 22, 23, 26}

(elements that belong to at least one of the sets).

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Answer:

B.I (x) and h (x) are inverse function

B

Answer:

90 degree angle i think

Step-by-step explanation:

Hope this helps you

9514 1404 393

Answer:

  b = 90°

Step-by-step explanation:

Angles a, b, c total 180°, and angles a and c are complementary, meaning they total 90°. The measure of angle b is ...

  b = 180° -90°

  b = 90°

__

All of the angle measures are ...

  a = 90° -c = 90° -56° = 34°

  b = 180° -90° = 90°

  c = given = 56°

  d = given = 124°

  e = c = 56°

The linear function that models the situation is given as follows:

d = 0.85t.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The constant ratio for this problem is given as follows:

k = 0.83, as each division of d by t has a result of 0.83.

Hence the equation is given as follows:

d = 0.83t.

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Answer:

2 1/8 mph.

Step-by-step explanation:

Distance= time x speed

Same way, Distance divided by time=speed.

In this situation, just divide 5 2/3 by 2 2/3.

Hope this helps!

Answer:

1/3

Step-by-step explanation:

1/3

Step-by-step explanation:

1/6 ÷ 1/2

Copy dot flip

1/6 * 2/1

Multiply

2/6

Reduce

1/3

Answer:

50

Step-by-step explanation:

We know that the sum of the angles of a triangle is 180

HCA + CAH + AHB = 180

80+ CAH + 90 = 180

Combine like terms

170 + HAC = 180

HAC= 180-170

HAC = 10

We also know that HCA + ACB is a straight line so it adds to 180

HCA + ACB = 180

80+ACB = 180

ACB = 180-80

ACB = 100

Since ACB is isosceles the base angles have the same measure so CAB = ABC

We know that the sum of the angles of a triangle is 180

CAB + ABC + ACB = 180

Replacing ABC with CAB

CAB + CAB + 100 = 180

2CAB + 100 =180

2 CAB = 180-100

2 CAB = 80

Divide by 2

CAB = 80/2

CAB = 40

Now find HAB

HAB = HAC + CAB

        = 10 + 40

         = 50