Jamal reads for 1/2 hour on Monday and 1/3 hour on Tuesday.how much more did he read on Monday than on Tuesday?​

The ratio of the strawberries to the blueberries is 32 strawberries: 30 blueberries (option d).

Ratio expresses the relationship between two or more numbers. It shows the frequency of the number of times that one value is contained within other value(s). The sign that is used to represent ratio is :.

The ratio of strawberries to blueberries - total number of strawberries : total number of blueberries.

(8 x 4) : 30

32 : 30

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Answer: A. 8 strawberries: 30 blueberries

Step-by-step explanation:

Starting at the centre, we draw an arrow pointing in the direction of the vector [0, 3] to create the final vector.

A vector is a number with both magnitude (or length) and direction in mathematics. Force, velocity, and acceleration are examples of physical variables that can have a direction and are represented by vectors. An arrow is commonly used to graphically represent a vector, with the direction of the arrow showing the vector's magnitude and the length of the arrow indicating its magnitude. A vector is frequently indicated in mathematical notation by a bold character or an arrow above a letter, such as v or v. In order to create new vectors, vectors can be multiplied by scalars and combined together.

given

By adding the three vectors together, we can determine the final vector based on the provided vectors.

Resultant vector equals the sum of vectors AB, BC, and CD.

R is written as: A, B, and C in a vector.

As written in a matrix:

R = [3 1] + [-2 3] + [-1 -1]

R = [3-2-1, 1+3-1]

R = [0, 3]

Therefore, [0, 3] is the final vector.

Starting at the centre, we draw an arrow pointing in the direction of the vector [0, 3] to create the final vector.

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1. The percentage of maize flour is given as 16.7 %

2. The common ratio of the GP is r = 1.5.

1. We have to set up equation

60x + 90(1 - x) = 85

60x + 90 - 90x = 85

now we have to solve for the value of x

-30x = -5

x = 5 / 30

x = 0.167

Hence percentage of maize flour is given as 16.7 %

2. a + ar = 20 (1)

ar + ar^2 = 30 (2)

We can rearrange equation (1) to get an expression for a:

a = 20 / (1 + r)

Now, we can substitute a into equation (2) to get an equation only in terms of r:

\(20r / (1 + r) + 20r^2 / (1 + r) = 30\\20r + 20r^2 = 30(1 + r)\\20r + 20r^2 = 30 + 30r\\20r^2 - 10r - 30 = 0\\2r^2 - r - 3 = 0\)

Solving this quadratic equation, we get:

We have two solutions, r = 1.5 and r = -1. But since the GP is increasing, we discard the negative solution. Therefore, the common ratio of the GP is r = 1.5.

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The simplified form of -20/2(7 2/3) is -230/3.

To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.

First, let's convert the mixed number 7 2/3 to an improper fraction.

7 2/3 = (7 * 3 + 2) / 3 = 23/3

Now, let's substitute the value back into the expression:

-20/2 * (23/3)

Next, we simplify the multiplication:

-10 * (23/3)

To multiply a fraction by a whole number, we multiply the numerator by the whole number:

-10 * 23 / 3

Now, we perform the multiplication:

-230 / 3

Therefore, the simplified form of -20/2(7 2/3) is -230/3.

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The total cost for the catering company that offers the better deal is $447.24

Which catering company offers the best deal?

The catering company with best deal is the one whose total cost, food cost and delivery cost is lower compared to the other catering company since they both would serve the same number of employees and provide the same number of utensils

Total cost of the first catering company=$419.99+$27.25

Total cost of the first catering company=$447.24

Total cost of the second catering company=$405.50+$49.99

Total cost of the second catering company=$455.49

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The regression equation is Y = 95.0 + 0.84X.The regression line is a mathematical model that is used to predict the value of a dependent variable (Y) based on the value of an independent variable (X).

In this case, the regression line is used to predict Y from X using the following data: X = 10, 20, 30, 40, 50, 60 and Y = 111, 109, 110, 94, 92, 93. By using a regression analysis tool such as StatKey, we can calculate the regression equation that best fits this data. The regression equation is Y = 95.0 + 0.84X, where 95.0 is the intercept and 0.84 is the slope. This equation can be used to make predictions about the value of Y for a given value of X. The rounded answer for the intercept is 95.0 and the rounded answer for the slope is 0.84.

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The angle between the two tangents drawn from an external point to a circle and the angle subtended by the line segment joining the points of the contact at the Centre are supplymentary,

So,

15.) let the unknown angle be x

=》x + 55° = 180°

=》x = 180° - 55°

=》

\( \boxed{x = 125°}\)

16. let the unknown angle be n

=》n + 80° = 180°

=》n = 180° - 80°

=》

\( \boxed{n = 100°}\)

9514 1404 393

Answer:

  15)  125°

  16  100°

Step-by-step explanation:

The short arc where two tangents intersect a circle, and the angle where the tangents meet are supplementary.

__

15) ? = 180° -55° = 125°

16) ? = 180° - 80° = 100°

_____

Additional comment

The quadrilateral formed by the tangents and the radii to the points of tangency has a total interior angle measure of 360°. The angles where the radii meet the tangents are 90°, so the sum of the external angle and the central angle is 360° -90° -90° = 180°. That is, the external angle and the central angle are supplementary.

Answer:

I'm not really sure but I think its 6:36

Step-by-step explanation:

12 quarters + 18 nickels + 6 dimes = 36 coins in total

6 dimes in total

6:36

Answer:

Option B

Step-by-step explanation:

704 cubic centimeters

The expression is given a single trigonometry function with no fractions is \(csc^2x.sinx.tanx\) value is sec x

Given,

The expression is given a single trigonometry function with no fractions.

\(csc^2x.sinx.tanx\)

To Simplify the above expression:

Now, According to the question:

\(csc^2x.sinx.tanx\)

Transform the expression using the reciprocal identity:

\((\frac{1}{sinx})^2\) × sin x × tan x

Transform the expression using the quotient identity

\((\frac{1}{sinx})^2 . sinx .\frac{sinx}{cosx}\)

Simplify using the exponent rule with same exponent \((ab)^n = a^n .b^n\)

\((\frac{1}{sinx})^2 . sinx .\frac{sinx}{cosx}\)

Reduce the expression to the lowest

= 1/cos x

Transform the expression using the reciprocal identity:

= sec x

Hence, The expression is given a single trigonometry function with no fractions is \(csc^2x.sinx.tanx\) value is sec x

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Answer:

M = 84 , r = 32

Step-by-step explanation:

Given M is directly proportional to r then the equation relating them is

M = kr ← k is the constant of proportion

To find k use the condition when r = 2, M = 14 , then

14 = 2k ( divide both sides by 2 )

7 = k

M = 7r ← equation of proportion

(a)

When r = 12

M = 7 × 12 = 84

(b)

When M = 224 , then

224 = 7r ( divide both sides by 7 )

32 = r

Given data:

The side of the first triangle is x= 12 meter.

The side of the second triangle is y=8 meter.

The perimeter of the first triangle is P= 48 meter.

The expression for the ratio of the similar triangle,

The expression for the area is,

Thus, the perimeter of the smaller triangle is 32 m, and the area of the smaller triangle is 80 square-meter.

The reference angle for the angle with the measure 2x/3 is 54⁰

You should understand that a reference angle is the acute angle to a given angle.

The given angle is 2x/3

We should understand that since the angle has the variable x

= x + 2x/3 = 90⁰

Simplifying the fraction to have

(3x+2x)/3 = 90

Cross and multiply we have 5x=270⁰

Making x the subject

x= 270/5

x=54⁰

Therefore, the reference angle with the measure 2x/3 is = 54⁰

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Answer:

Step-by-step explanation:

25x+10y=15
9x+6y=3

dividing the first equation by 5, you get 5x+2y=2
dividing the second equation by 3, you get 3x+2y=1

to find the y intercept, substitute 0 for x
5(0) + 2y = 2 ; y =1 (intercept at 0,1)
3(0) + 2y = 1 ; y = 1/2 (intercept at 0,1/2)

to find the x intercept, subtitutue 0 for y
5x + 2(0) = 2; x = 2/5 (intercept at 2/5. 0)
3x + 2(0) = 1; x = 1/3 (intercept at 1/3, 0)

to find slope,
5x+2y =2
2y = -5x +2
y = -5/2x + 1
slope = -5/2

3x+2y=1  
2y = -3x + 1 |
y= -3/2x +1/2
slope = -3/2

The percentage increase in pay, you have to receive in order to gain your original salary again will be 8.70%.

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol 'percent' is used to symbolize it.

You decide to work fewer hours per week, which results in an 8% decrease in your pay.

Then the percentage increase in pay you have to receive in order to gain your original salary again will be

The decrease in salary is 8%

Assume the original salary to be $100.

Then the decreased salary = 100  (1 - 8%) = 100  92% = $92

To attain the former wage of $100, we must find the percentage increase in the lowered salary. We expect an X percent rise in the reduced compensation.

Then we have

92 * (1 + X%) = 100

       (1 + X%) = 100 / 92

       (1 + X%) = 1.08695652174

              X% = 0.086956

              X% = 8.6956%

              X% = 8.70%

Thus, the decreased salary will have to be increased by 8.70%

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The cost of each sandwich, given the number that was sold and the profit made was  $15.

Let S be the price of a sandwich and A be the price of a salad.

From the lunch sale, we know:

14 S + 14 A = $280

From the evening sale, we know:

42S + 154 A = $ 1400

Simplify the first equation by dividing through by 14:

S + A = $20

Solving this equation for S gives:

S = $20 - A

Substitute this equation into the second equation:

42 ( $20 - A ) + 154 A = $1400

$ 840 - 42 A + 154 A = $1400

112A = $560

A = $5

Substitute A = $5 into the first equation:

S + $5 = $20

S = $15

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The mean of a probability distribution can be found by applying the formula:

By replacing the given values, we obtain:

The answer is 1.7

To find the probability that Naomi selects both white balls, we need to consider the total number of possible outcomes and the number of favorable outcomes.

Total number of outcomes:

Naomi selects 2 balls without replacement, so the total number of outcomes is the number of ways she can choose 2 balls out of the total number of balls in the bag. This can be calculated using combinations:

Total outcomes = C(20, 2) = (20!)/(2!(20-2)!) = (20 * 19)/(2 * 1) = 190

Number of favorable outcomes:

Naomi needs to select 2 white balls. There are 2 white balls in the bag, so the number of favorable outcomes is the number of ways she can choose 2 white balls out of the 2 white balls in the bag:

Favorable outcomes = C(2, 2) = 1

Probability = Favorable outcomes / Total outcomes = 1/190

Therefore, the correct answer is (G) 1/190.

Answer:

x = ~2.17 (rounded)

Step-by-step explanation:

First, combine like terms (terms with the same amount of the same variable):

5x + 1 + 18x + 11 = 62

(5x + 18x) + (1 + 11) = 62

(23x) + (12) = 62

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.

PEMDAS is the order of operation, &  =

Parenthesis

Exponents (& Roots)

Multiplication

Division

Addition

Subtraction

First, subtract 12 from both sides:

23x + 12 (-12) = 62 (-12)

23x = 62 - 12

23x = 50

Divide 23 from both sides to isolate the variable, x:

(23x)/23 = (50)/23

x = 50/23 = 2 4/23 = ~2.17 (rounded to the nearest hundredths).

Answer:

x= -2.17 (rounded to nearest hundredth)

Step-by-step explanation:

5x + 1 + 18x + 11 = 62

     -1            -11      -12

subtract 1 and 11 from both sides which leaves you with:

5x + 18x = 50

add 5x and 18x and you get:

23x = 50

now divide both sides by 23 and get:

x=-2.17

Answer: Base and Height

Step-by-step explanation: You would multiply the base and height. Since it is not a triangle you wouldn't divide it by 2

\(\dfrac{1}{22}\:\dfrac{\text{in}}{\text{hr}}\)

Step-by-step explanation:

The amount of time from 10pm to 7am is 9 hours. However, the time indicated is 7:10am. Since there are 60 minutes in an hour, 10 min is equal to 1/6 of an hour. Therefore, the total time that the water level of the pool decreased is \(9\frac{1}{6}\) hours or \(\frac{55}{6}\) hours. To find the rate at which the water level decreased, we divide the change in the water (in inches) by the time it took to reach that level. So we write

rate of change \(= \dfrac{\text{change\:in\:height}}{\text{change\:in\:time}}\)

\(\:\:\:\:\:\:\:= \dfrac{\frac{5}{12}\:\text{in}}{\frac{55}{6}\:\text{hrs}}\)

\(\:\:\:\:\:\:\:=\dfrac{5}{12}\cdot\dfrac{6}{55}\:\dfrac{\text{in}}{\text{hr}}\)

\(\:\:\:\:\:\:\:= \frac{1}{22}\:\dfrac{\text{in}}{\text{hr}}\)

Answer:

-10

+12

Step-by-step explanation:

-2 * +5   =  -10

-4 * -3  =   +12

Answer:

(-2) x (5) = -10

When multiplying by a negative and a positive the answer will be negative

(-4) x (-3) = 12

When you are multiplying by two negatives: The negatives cancel making it a positive

Answer:

12√3 inches or 20.785 inches.

Step-by-step explanation:

A regular hexagon can be defined as a polygon with 6 sides.

The formula for the perimeter of a regular hexagon =

6 × the length of the sides of the hexagon.

From the above question, we are told that there is an inscribed circle I'm the hexagon with a diameter of 4√3 inches long

Step 1

Find the radius of the circle

Radius of the circle = 4√3/2 = 2√3 inches

Step 2

The radius of the inscribed circle = Length of one of the sides of a regular hexagon.

Hence, the perimeter of the regular hexagon = 6 × 2√3

= 12√3 inches

= 20.784609691 inches.

Approximately 20.785 inches

The equation of the line perpendicular to the given line passing through the point   \((-2, 3)\) is  \(y = -3/2 x + 15/2\) , which is not one of the options provided.

To find the equation of a line parallel to a given line, we need to use the fact that parallel lines have the same slope.

The given line has a slope of  \(2/3,\)so the parallel line we're looking for will also have a slope of \(2/3\). Using the point-slope form of a line, we can write:

\(y - y_{1} = m(x - x_{1} )\)

where m is the slope and \((x_{1} , y_{1} )\) is the given point. Substituting the values we have:

\(y - 3 = (2/3)(x - (-2))\)

\(y - 3 = 2/3 x + 4/3\)

\(y = 2/3 x + 13/3\)

So the equation of the line parallel to the given line passing through the point  \(t (-2, 3) is y = 2/3 x + 13/3\), which is option A.

To find the equation of a line perpendicular to a given line, we need to use the fact that perpendicular lines have slopes that are negative reciprocals of each other.

The given line has a slope of 2/3, so the perpendicular line we're looking for will have a slope of -3/2. Using the point-slope form of a line again, we can write:

\(y - y_{1} = m(x - x_{1} )\)

where m is the slope and  \((x_{1} , y_{1} )\) is the given point. Substituting the values we have:

\(y - 3 = (-3/2)(x - (-2))\)

\(y - 3 = -3/2 x - 9/2\)

\(y = -3/2 x + 15/2\)

Therefore,  the equation of the line perpendicular to the given line passing through the point \((-2, 3) is y = -3/2 x + 15/2,\) which is not one of the options provided.

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