Manuel watered all the flowers at a business park. While watering, he noticed the daisies had been planted in groups of 11 and the lilies had been planted in groups of 12. If Manuel watered the same number of each flower, what is the minimum number of each that he must have watered?

Answer:

To find the length of AB, we can use the property that two tangents to a circle from the same external point are equal. This means that AB = AD. Substituting the given values, we get:

8x = x + 9

Solving for x, we get:

x = 1.5

Therefore, AB = 8x = 8(1.5) = 12.

To check our answer, we can use the Pythagorean theorem on triangle ABD, since AB is perpendicular to BD at the point of tangency. We have:

AB^2 + BD^2 = AD^2

Substituting the values, we get:

12^2 + BD^2 = (1.5 + 9)^2

Simplifying, we get:

BD^2 = 56.25

Taking the square root of both sides, we get:

BD = 7.5

Hence, the length of AB is 12 and the length of BD is 7.5.

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Answer: $51156

Step-by-step explanation:

a = b x p%

how much will the price increase

a = 49,000 x 4.4%

= 49,000 x 0.044

= $2156

price of next model

49,000 + 2156 = $51156

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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Answer:

39°

Step-by-step explanation:

Angle ABD and angle CBD are complementary angles which means they complete each other to 90°

so if CBD is 51 then ABD is 90 - 51 = 39°

Answer:

I could be wrong, but I think you got right in the beginning 107°, but go with your gut feeling. Wish you the very best <3

Answer: x=73 degrees, z=73 degrees, y=107 degrees

Step-by-step explanation:

y=107 degrees because y and 107 degrees are congruent angles

z=x because z and x are congruent angles

x+y=180 ==> x and y are supplementary angles that are placed on a straight line(the straight line is 180 degrees and is called a straight angle.)

x+107=180

x=73 degrees

z=x

z=73 degrees

Answer:

The step by step explanation isn't your problem but it is a way to see how to do your problem

Step-by-step explanation:

This is an exponential growth equation, therefore, it follow the standard form:

where y is the value of the house after a certain number of years,

a is the initial value of the house,

b is the growth rate, and

x is the year number.

We are going to make this easy on ourselves and call year 1985 year 0. Therefore, is year 1985 is year 0, then year 2005 is year 20, and year 2010 is year 25. We will make these the x coordinates in our coordinate pairs.

(0, 113000) and (20, 155000)

Filling into our standard form using the first coordinate pair will give us the initial value of the house at the start of our problem:

Anything raised to the 0 power is equal to 1, so

113000 = a(1) and

a = 113000

Now we will use that value of a along with the second pair of coordinates and solve for b, the growth rate you're looking for:

Start by dividing both sides by 113000 to get a decimal:

To solve for b, we have to undo that power of 20 by taking the 20th root of b. Because this is an equation, we have to take the 20th root of both sides:

The 20th root and the power of 20 undo each other so all we have left on the right is a b, and taking the 20th root on your calculator of the decimal on the left gives you:

b = 1.0159 which rounds to

b = 1.02 This is our growth rate.

Now we can use this growth rate and the value of a we found to write the model for our situation:

If we want to find the value of the house in the year 2010 (year 25 to us), we sub in a 25 for x and do the math:

Raise 1.02 to the 25th power and get:

y = 113000(1.640605994) and multiply to get a final value of

y = $185,388

Answer:

the area of the rectangle is 35.25 square meters.

Step-by-step explanation:

To find the area of a rectangle, we multiply the length by the width.

First, we need to convert the mixed numbers to improper fractions to make the multiplication easier:

4 and 2/4 = 4 + 2/4 = 16/4 + 2/4 = 18/4

7 and 5/6 = 7 + 5/6 = 42/6 + 5/6 = 47/6

Now we can multiply the length and width:

Area = (18/4) * (47/6)

Area = (9/2) * (47/6) (canceling the common factor of 2 between 18/4 and 6 in 47/6)

Area = (9 * 47) / (2 * 6)

Area = 423/12

Area = 35.25

Therefore, the area of the rectangle is 35.25 square meters.

Answer:

Step-by-step explanation:

This number line says that  we can take all values of x that are less than or equal to 2. That is, the solution is

                                  \(x\leq 2\)

NOTE: if the circle at 2 were not filled in then that would mean x<2 (2 would not be an accepted value of x)

Answer:

It is not a function.

Answer:

Step-by-step explanation:

total sum of Triangle's angles is 180 deg:

than: x = 180 -61-56 = 63

Answer:

63 degrees

Step-by-step explanation:

All three angles in a triangle is always 180, so 180-61-56=63 degrees

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The percentage population increase from 2001 to 2011 is 50%.

To calculate the percentage population increase from 2001 to 2011, you need the population figures for both years. Let's assume the population in 2001 was 100,000 and in 2011 it was 150,000.

The formula to calculate the percentage increase is:

Percentage Increase = ((New Value - Old Value) / Old Value) * 100

Plugging in the values:

Percentage Increase = ((150,000 - 100,000) / 100,000) * 100 = (50,000 / 100,000) * 100 = 0.5 * 100 = 50%

Therefore, the percentage population increase from 2001 to 2011 is 50%.

Please note that the actual population figures for the respective years need to be used in the calculation to obtain an accurate result. The example above is for illustrative purposes.

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Answer:

47.5%

Step-by-step explanation:

39/82 = .475 = 47.5%

Answer:

39 is  47.56% of 82

Step-by-step explanation:

82 is 100% since it is our output value.

divide 39 by 82 to get the answer in decimal form:

39 / 82 = 0.4756

Then  multiplied the answer from the first step by one hundred to get the answer as a percentage

0.4756 * 100 = 47.56%

Answer:

the answer is here

plz mark as brainlist

Step-by-step explanation:

-2x-10=8

-2x=8+10

X= -18/2

hence X= -9

Answer:

Step-by-step explanation:

First, |x| = x when x >= 0 and |-x| = x when x < 0.

So,there are two ways to solve this equation -2|x + 5| = 8.

In the 1st case, let's assume (x + 5) >= 0

=> |x + 5| = x + 5

=> -2(x + 5) = 8

=> x + 5 = 8 / -2 = -4

=> x = -4 - 5 = -9

In the 2nd case, let's assume (x + 5) < 0

=> |x + 5| = -(x + 5) = -x - 5

=> -2 (-x -5) = 8

=> (-x -5) = -4

=> -x = 1

=> x = -1

These are the 2 solutions by solving the math in two different ways.

I hope this helps.

Let me if you have any more questions.

The decimal number -3.3 repeating is greater than the decimal number -3.5 repeating.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

The numbers are given below.

- 10/3 and \(- 3 {\dfrac{\bar{5}}{10}}\)

Simplify the expression, then we have

- 10/3 = -3.33....

\(- 3 {\dfrac{\bar{5}}{10}} = -3.\bar5 = -3.55....\)

The decimal number - 3.3 rehashing is more noteworthy than the decimal number - 3.5 rehashing.

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Answer:

Z= 0.08

Or

Z= 2/25

Step-by-step explanation:

100(z-0.2)=-10(5z+0.8)​

Opening all the bracket

100z - 20= -50z - 8

Collecting like terms, and at Same time adding up this like terms

100z +50z = -8+20

150z= 12

Dividing bith sides of the equation by 150 to look for the value of z

(150/150)(z)=12/150

Z= 0.08

Or

Z= 2/25

Answer:

A 1,296

B 1,369

36 answer

Weare told that the growth is linear. Since the initial population is 3 , we have the following point on the plane represented by number of beetler on the vertical axis, and number of weeks in the horizontal axis:

(0, 3) (week zero we had 3 beetles)

SInce after 8 weeks there were 67 beetles, then the next point is:

(8, 67)

Now, with these two points we find the slope of the segment that joins them with the formula:

slope = (y2 - y1) / (x2 - x1)

in our case:

slope = (67 - 3) / (8 - 0)= 64/8 = 8

so the slope of the line is 8, and its y-intercept is 3 (point at which the line crosses the y axis (0,3) as found above:

Then the equation that represents the beetle population is:

Population = 8 x + 3

where x represents the number of weeks. Therefore for the population to grow to eacj 187 beetles, we have to solve for x in the equation:

187 = 8 x + 3

subtract 3 from both sides

187 - 3 = 8 x

184 = 8 x

divide by 8 to isolate x

184 / 8 = x

x = 23

so, it takes a total of 23 weeks, for the population to reach 187 beetles.

Answer:

x=0, y=0

Step-by-step explanation:

① Label the 2 given equations.

x -2y= 0 -----(1)

3x +y= 0 -----(2)

② Make x the subject of formula in equation (1).

From (1): x= 2y -----(3)

③ Substitute equation (3) into (2):

3(2y) +y= 0

Expand:

6y +y= 0

Simplify:

7y= 0

y= 0

④ Find x.

Subst. y=0 into (3):

x= 2(0)

x= 0

The surface area of a cylinder is 284m² and it's volume is 366.9m³

To find the surface area and volume of a cylinder, we need to know the radius (r) and height (h) of the cylinder. The formulas for the surface area (A) and volume (V) of a cylinder are as follows:

From the given question, the data are;

a. The surface area of the cylinder is;

SA = 2π(4)² + 2π(4)(7.3)

SA = 283.999≈284m²

b. The volume of the cylinder is

v = πr²h

v = π(4)²(7.3)

v = 366.9m³

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Answer:

89.4

Step-by-step explanation:

Okay well if  149=100% and there is a 40% we just have to find 60% and to do that we just multiply 149 by 0.60 to get 89.4

149*0.60=89.6

The perfect square in this problem is given and factored as follows:

x² + x + 0.25 = (x + 5)².

The perfect square of the sum of two terms is given by the notable product presented as follows:

(x + a)² = x² + 2ax + a².

In the context of this problem, the expression is given as follows:

x² + x +

Then the coefficient a is obtained comparing the above function to the standard function as follows:

x² + x = x² + 2ax.

Then:

2a = 1

a = 0.5.

Hence the final term of the expression is given as follows:

a² = 0.5² = 0.25.

Thus the complete expression is:

x² + x + 0.25.

And the factored expression is of:

(x + 0.5)².

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The congruence for two figures can be stated using the sign of congruence which is ≅.

According to the question,

We have the following information:

We need to write a statement to show congruence.

We know that the symbol ≅ is used to state the fact that the two figures are congruent or in other words it can be said that their corresponding sides and angles are congruent.

For example, if we write ΔABC ≅ ΔDEF then it means that these two triangles are congruent.

Hence, the congruence for two figures can be stated using the sign of congruence which is ≅.

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Step-by-step explanation:

Expanded notation may be defined as the way of expressing a number by exhibiting its value of each of the digit.

In an expanded notation, the number is always represented as a summation of each of the digit times its place value, while in the expanded form, an addition is used between the place value numbers.

A number containing zero can be written in the expanded form as for example,

509,300

Since digit 5 is 100,000th place, 9 is in 1,000th place and the digit 3 is 100th place, the number can be written as --

5 x 100,000 + 9 x 1,000 + 3 x 100

The inverse of the function f(x) = x + 4 is given as f⁻¹(x) = x - 4

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by ‘f’ or ‘F’, then the inverse function is denoted by f-1 or F-1.

In this problem, the function given is f(x) = x + 4;

We can find the inverse of the function as;

y = x + 4;

Let's switch the variables by replacing x as y and y as x;

x = y + 4

Solving for y;

y = x - 4

f⁻¹(x) = x - 4

The graph of the function is attached below

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Answer:

\left(3+i\right)y\left(3-i\right)=10y

Step-by-step explanation:

\left(3+i\right)y\left(3-i\right)

\left(3+i\right)\left(3-i\right)y

=y\cdot \:10

=10y

Answer:

D)

Step-by-step explanation:

Since we see the whole angle is 90° and it's split into two smaller angles, 7x° and 11x°, then we can conclude that 7x°+11x°=90°

*And x=5

Answer:

D)

Step-by-step explanation:

Since we see the whole angle is 90° and it's split into two smaller angles, 7x° and 11x°, then we can conclude that 7x°+11x°=90°

*And x=5

Answer:

126 points

Step-by-step explanation:

The measures of angle 4 (m<4) and angle 7 (m<7) are 42° and 96°, respectively.

To find the measures of angles 4 and 7, we need to apply some geometric principles. Since the top and bottom pieces of the crib are parallel to each other, we can use the property of alternate interior angles.

Angle 4 (m<4) is formed by a transversal (the line connecting the top and bottom pieces of the crib) intersecting two parallel lines. Given that angle m<2 is 42°, we know that angle 4 is congruent to angle 2. Therefore, m<4 = m<2 = 42°.

Angle 7 (m<7) is formed by a transversal intersecting two parallel lines as well. However, in this case, angle 7 is an exterior angle, which is equal to the sum of the two remote interior angles. The remote interior angles are angles 2 and 4. We know that m<2 = 42° (as given) and m<4 = m<2 = 42° (as explained above). Therefore, the sum of angles 2 and 4 is 42° + 42° = 84°. Since angle 7 is an exterior angle, it is equal to 180° minus the sum of the remote interior angles. Thus, m<7 = 180° - 84° = 96°.

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Answer:

p(-2) = 13 not a factor

Step-by-step explanation:

because is you use :

x+2=0

x= -2

then p(+2) = 13 if an factor it must be equal to 0

Answer:

They are not

Step-by-step explanation:

    We can see that 14 / 2 = 7, so we can check for the other side by dividing both sides of the ratio by 2:

15:14

\/

7.5:7 ≠ 8:7

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather