A recipe calls for 4c of flour. You have 20 c of flour. Let r represent the flour you when left after making the recipe. Is the remaining amount of flour 18c?

Answer:

The Area of the trapezium is \(60cm^2\)

Step-by-step explanation:

Given,

Height (h)= 8cm

Sum of the parallel sides (a+b)= 15cm

Area of trapezium = \(1/2*h*(a+b)\)

                              =\(1/2*8*15\)

                              =\(4*15\)

Area of trapezium=60cm^2

Answer: Area = 60 cm²

Step-by-step explanation:

To find the area of a trapezium we use the formula

Area of trapezium = 1/2 (sum of parallel sides) × height

∴ Area = 1/2 ×15 cm × 8 cm

           = 60 cm²

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answer: the range is 41.

to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.

then we subtract the minimum from the maximum.

59 - 100 = 41.

The least amount of paint that is needed to paint the walls of a room with a rectangular prism shape is 1. 8 gallons.

There would be two walls with 10 x 16 dimensions so the area is :

= 2 x 10 x 16

= 320 square feet

Two walls with 20 x 10 dimensions :

= 2 x 20 x 10

= 400 square feet

The total area is :

= 400 + 320

= 720 square feet

One gallon of paint can cover 400 square feet so the number of gallons needed is:

= 720 / 400

= 1. 8 gallons

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Full question is:

One gallon of paint covers 400 square feet. What is the least amount of paint needed to paint the walls of a room in the shape of a rectangular prism with a length of 20 feet, a width of 16 feet, and a height of 10 feet? Write your answer as a decimal.

Answer:

Step-by-step explanation:

The two angles at E that are enclosed by DE and CE (<DEC) and AE and BE (AEB) are vertically opposite. Therefore you have 2 sides and an included angle.

The Postulate  is SAS

Let that be x

\(\\ \sf\longmapsto x=48000-0.112(48000)\)

\(\\ \sf\longmapsto x=48000-5376\)

\(\\ \sf\longmapsto x=42624\$\)

Answer:

Decrease in price:  $5,376

Price of next model:  $42,624

Step-by-step explanation:

Decrease in Price

Find 11.2% of $48,000

First, convert 11.2% into a decimal:

⇒ 11.2% = 11.2/100 = 0.112

Multiply this by $48,000:

⇒ 0.112 × 48000 = $5376

Therefore, the decrease in price is $5,376

Price of next model

price of next model = current price - 11.2%

                                 = 48000 - 5376

                                 = $42,624

Therefore, the price of the next model is $42,624

Answer:

Moses got into the elevator at the 8th floor.

Step-by-step explanation:

Let's call the floor which Moses started at x. Going down decreases the floor number and going up increases the floor number. We then form the equation \(x-5+6-7=2\)  which is the same as \(x-8=0\) which means \(x=8\). Moses got in at the 8th floor.

Answer:

9754 and 5794

Step-by-step explanation:

Answer:

Largest - 9,754

Smallest - 4,579

Step-by-step explanation:

Answer: 87.5%

hope this helps! :)

Answer:

A

Step-by-step explanation: i just did the test

Answer:

(C) 12

Step-by-step explanation:

To solve this problem, we can use the following steps:

Find half of 80: 80/2 = 40

Add 20 to half of 80: 40 + 20 = 60

Find one fifth of the result: 60/5 = 12

Therefore, one fifth of twenty more than half of 80 is equal to 12. The correct answer is (C) 12.

Answer:

(C) 12

Step-by-step explanation:

What is one fifth of twenty more than half of 80

0.5 × 80 = 40

What is one fifth of twenty more than half of 80

40 + 20 = 60

What is one fifth of twenty more than half of 80

1/5 × 60 = 60/5 = 12

To find the number of temperatures in the set, we can divide the sum of the temperatures by the mean temperature.

Number of temperatures = Sum of temperatures / Mean temperature

In this case, the sum of temperatures is given as 2,516 and the mean temperature is given as 74 degrees Fahrenheit.

Number of temperatures = 2,516 / 74

Calculating the division:

Number of temperatures ≈ 34.05

Since we cannot have a fraction of a temperature, we need to round the result to the nearest whole number. Therefore, there are approximately 34 temperatures in the set.

Answer:

\(\frac{x}{30}=\frac{2.70}{10}\)

Step-by-step explanation:

The ratio of cost to ounces must be constant.

The cost of 30 ounces of organic blueberries will be;

⇒ x = $8.1

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The cost for 10 ounces of organic blueberries = $2.70.

Now,

Since, The cost for 10 ounces of organic blueberries is $2.70.

Hence, The cost for 1 ounces of organic blueberries = $2.70/10

                                                                                 = $0.27

So, The cost for 30 ounces of organic blueberries = 30 × $0.270

                                                                              = $8.1

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Answer:

\( { \boxed{ \blue{ \tt{last \: term : l = a + (n - 1)d}}}} \\ \\ { \boxed{ \green{ \tt{sum : s = \frac{n}{2} (2a + (n - 1)d}}}} \\ or\\ { \boxed{ \tt{ \red{sum : s = \frac{n}{2} (a + l)}}}} \\ { \bf{s \: is \: sum }} \\ { \bf{ l \: is \: last \: term}} \\{ \bf{ n \: is \: number \: of \: terms}} \\{ \bf{ d \: is \: common \: difference}} \\ \\ { \underline{ \blue{ \tt{becker \: jnr}}}}\)

Answer:

The answer is 0 lol.

Answer:

(8,5)

Step-by-step explanation:

Your X coordinate would determine how far right or left something would be on a plot. The more left, the lower the number, and the more right, the higher the number. Y coordinate controls the height. Therefore, the coordinates with the highest X value would be the answer.

Answer:

x=3

Step-by-step explanation:

Hey there!

In order to solve this equation, we must first distribute the 3

3x + 9 = -4x + 30

Now we combine like terms

7x = 21

Then we divide both sides by 7 to get x by itself

x = 21/7

x = 3

Answer: x=3

Step-by-step explanation:

To solve the given equation, it means to find the value of x. We want to use inverse properties to isolate x. The inverse properties are add/subtract and multiply/divide. Be sure to use the corresponding inverse operation.

3(x+3)=-4x+30                 [distribute]

3x+9=-4x+30                    [add both sides by 4x]

7x+9=30                            [subtract both sides by 9]

7x=21                                 [divide both sides by 7]

x=3

Therefore, we get x=3.

The functions are expressed as;

1. f and g are not inverse of each other. Option B

2. f and g are inverse of each other. Option A

A function is defined as equations or laws are used to show the relationship between two variables.

The variables are;

From the information given, we have that;

a.

f(x) = -2/x

g(x) = -2/x

To determine the composite function f(g(x), we have to substitute the value of g(x) as the value of x in the function f(x)

Then, we have;

f(g(x) = -2/-2/x)

divide the values

f(g(x) = -2(x)/-2

f(g(x) = x

Then, for the function g(f(x), we have;

g(f(x) = -2/-2/x

Divide the values

g(f(x) = x

2. f(x) = 6x - 3

g(x) = 6x + 3

f(g(x) = 6(6x + 3) -3

expand the bracket, we get;

f(g(x) = 36x + 15

g(f(x) = 6(6x - 3) + 3

Add the values

g(f(x) = 36x - 15

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Answer: x = 1, y = 7

Step-by-step explanation:

2(1) + 6(7) = 44

3(1) - 7 = -4

Answer:

64/100

Step-by-step explanation:

Answer: 16/25or64/100

Step-by-step explanation: 64/100 and divide it by 4 . To change a percent to a fraction, put the percentage over 100 (after removing the % sign) and simplify if necessary

The absolute value equation that has the solution set  is |x + 6| = 2

From the question, we have the following parameters that can be used in our computation:

Solution set = -4 and -8

The midpoint of the above solution is

c = (-4 - 8)/2

So, we have

c = -6

So, we have

|x + 6| = d

Using any of the points, we have

|-4 + 6| = d

Evaluate

d = 2

So, we have

|x + 6| = 2

Hence, the absolute value equation that has the solution set  is |x + 6| = 2

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Answer:

e

Step-by-step explanation:

a. The probability that a yellow disk will be selected is 1 out of 5.

b. It is **likely** that a yellow disk will be randomly selected from the bag.

a. The probability that a yellow disk will be selected can be calculated by;

P = 5 / 25

P = 1/5

The probability of randomly selecting a yellow disk is calculated by dividing the number of yellow disks by the total number of disks. In this case, there are 5 yellow disks and 25 total disks, so the probability is 5/25 = 1/5. This means that there is a 20% chance of randomly selecting a yellow disk.

b. The likelihood of randomly selecting a yellow disk is described as "likely" because the probability is greater than 1/10. A probability of 1/10 or less is considered "unlikely", while a probability of greater than 1/10 is considered "likely".

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Answer:

2hrs 30 mins

Step-by-step explanation:

if the buoy Is 12 up and 16 right than you can use Pythagorean theorem

a²+b²=c²

144+256=c²

400=c²

√400=√c²

20=c

20/8=2.5

2 hrs 30 mins

Answer:

-22=22

Step-by-step explanation:

3,5-5,7=

-22/22

The equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

To find the equation of the line passing through the midpoint R and the points P and Q, we first need to find the coordinates of the midpoint R. The midpoint coordinates can be found by taking the average of the x-coordinates and the average of the y-coordinates of P and Q.

The x-coordinate of the midpoint R is (3 + (-5)) / 2 = -1/2.

The y-coordinate of the midpoint R is (5 + 7) / 2 = 6.

So, the coordinates of the midpoint R are (-1/2, 6).

Next, we can use the two-point form of the equation of a line, which states that the equation of the line passing through points (x₁, y₁) and (x₂, y₂) is given by:

(y - y₁) = (y₂ - y₁) / (x₂ - x₁) \(\times\) (x - x₁)

Substituting the coordinates of R (-1/2, 6) and P (3, 5) into the equation, we have:

(y - 6) = (7 - 5) / (-5 - 3) \(\times\)(x - (-1/2))

Simplifying the equation:

(y - 6) = (2 / -8) \(\times\)(x + 1/2)

(y - 6) = -1/4 \(\times\)(x + 1/2)

4(y - 6) = -x - 1/2

Therefore, the equation of the line passing through R and PQ is 4(y - 6) = -x - 1/2.

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Answers:

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

Explanation:

The population of the country will be 796 million approximately in the year 2022.

To find when the population of the country will be 796 million, we can set the equation equal to 796 and solve for t:

\(A = 433.4e^{(0.032t)}\\796 = 433.4e^{(0.032t)}\)

Divide both sides by 433.4:

\(e^{(0.032t)} = 1.836\)

Take the natural logarithm of both sides:

\(ln(e^{(0.032t)}) = ln(1.836)\)

0.032t = 0.605

Divide both sides by 0.032:

t = 18.91

Therefore, the population of the country will be 796 million approximately 19 years after 2003. To find the year, we add 19 to 2003:

2003 + 19 = 2022

Therefore, the population of the country will be 796 million approximately in the year 2022.

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Answer:

The length of the arc ADB is (8/3)π ft and the area of the shaded region is 4.5 ft^2 - 4π ft^2.

Step-by-step explanation:

In the given circle with center O and radius 3 ft, let's consider the angle AOB, which is given as 160°. We need to find the length of the arc ADB and the area of the shaded region.

To find the length of the arc ADB, we can use the formula for the circumference of a circle and calculate the fraction of the total circumference represented by the angle AOB.

The circumference of a circle is given by 2πr, where r is the radius. In this case, the radius is 3 ft. Therefore, the total circumference is 2π(3) = 6π ft.

To find the length of the arc ADB, we calculate the fraction of the total circumference represented by the angle AOB. Since the angle AOB is 160° out of 360°, the length of the arc ADB is (160/360) * 6π ft = (4/9) * 6π ft = (8/3)π ft.

Next, to find the area of the shaded region, we need to subtract the area of the sector AOB from the area of triangle AOB. The area of the sector AOB is (160/360) * π * (3)^2 = (4/9) * 9π = 4π ft^2. The area of triangle AOB is (1/2) * 3 * 3 = 4.5 ft^2.

Therefore, the area of the shaded region is 4.5 ft^2 - 4π ft^2 = 4.5 ft^2 - 4π ft^2.

In summary, the length of the arc ADB is (8/3)π ft and the area of the shaded region is 4.5 ft^2 - 4π ft^2.

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