A farmer sells 7.7 kilograms of apples and pears at the farmer's market.
1
4
of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?

Answer:

The total of this whole angle, which is represented by ∠ABD, measures 64°.

We are given that apart of this angle, ∠CBD measures 30°, so that'd mean that the other part of this angle, ∠ABC, would measure 34°.

This is because both angles ABC and CBD combined would equal a total of 64°.

So we set up the equation;

30 + x = 64

-30       -30

x = 34°, therefore ∠ABC = 34°.

Answer:

m∠ABC = 34°

Step-by-step explanation:

Given:

m∠ABD = 64°

m∠CBD = 30°

BC is the angle bisector of ∠ABD, which means that an angle is cut in half into two equal pieces. The line divides an angle into two angles.

∠ABC + ∠CBD = ∠ABD

m∠ABC = m∠ABD - m∠CBD

m∠ABC = 64° - 30°

m∠ABC = 34°

hope this helps!! p.s. i really need brainliest :)

Check the picture below.

the lengths of the corresponding horizontal lines is the same on each figure, 4 and 1.

the slope in red is the same for both figures, and the slope in yellow is the same on each figure, meaning the slanted sides on each figure is also the same length.

so the lengths in each figure is the same and the angles are also the same, so the shapes are congruent, and since they're congruent the scale factor will simply be 1 to 1 or 1:1, since neither is smaller or larger than the other.

Answer:

8x

Step-by-step explanation:

The drawing of the air hockey table is 1/8th the size of the actual air hockey table so the scale factor the drawing uses is 8x

Answer:

  51 milligrams

Step-by-step explanation:

Exponential growth or decay can be modeled by the equation ...

  y = a·b^(x/c)

where 'a' is the initial value, 'b' is the "growth factor", and 'c' is the time period over which that growth factor applies. The time period units for 'c' and x need to be the same.

In this problem, we're told the initial value is a = 190 mg, and the value decays to 95 mg in 19 hours. This tells us the "growth factor" is ...

  b = 95/190 = 1/2

  c = 19 hours

Then, for x in hours the remaining amount can be modeled by ...

  y = 190·(1/2)^(x/19)

__

After 36 hours, we have x=36, so the remaining amount is ...

  y = 190·(1/2)^(36/19) ≈ 51.095 . . . . milligrams

About 51 mg will remain after 36 hours.

Answer:

a) (x=6); b) (x= -5.5)

Step-by-step explanation:

find the midpoint of each of the pairs of coordinates.

((x1 + x2)/2 , (y1 +y2)/2)

Find mid points

#1

[tex]\\ \rm\rightarrowtail (\dfrac{3+9}{2},\dfrac{2+2}{2})[/tex]

[tex]\\ \rm\rightarrowtail (\dfrac{12}{2},\dfrac{4}{2}[/tex]

[tex]\\ \rm\rightarrowtail (6,4)[/tex]

We know x is fixed

So Axis of symmetry=x=6

#2

[tex]\\ \rm\rightarrowtail (\dfrac{-11}{3},2)[/tex]

[tex]\\ \rm\rightarrowtail (-5.5,2)[/tex]

Axis of symmetry

Step-by-step explanation:

Pythagoras theorem

16²=7²+a²

a²=16²-7²

a²= 256 -49

a²=207

a=√207

a=14.38

a≈14.4 in. (approx)

Answer:

Step-by-step explanation:

As it is a right angle triangle, we can use Pythagorean theorem to find a

base² + altitude² = hypotenuse²

7² + a² = 16²

49 + a² = 256

       a² = 256 - 49

       a² = 207

     a = √207

a = 14.4 in

Answer:

If you are only given the perimter, then you can only find the side lengths of a square

Step-by-step explanation:

e.g. say perimeter = 16

16 / 4 = 4 so each length is 4.

Answer:

1/8

Step-by-step explanation:

So he had 1/4 of a candy box and he ate 1/2 of it. 1/2 of 1/4 is 1/8 because 1/4 × 1/2 =1/8

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

Explanation:

4+1 = 5 in base 10

But in base 5, the digit "5" does not exist.

The only digits in base five are: 0, 1, 2, 3, 4

This is similar to how in base ten, the digits span from 0 to 9 with the digit "10" not being a thing (rather it's the combination of the digits "1" and "0" put together).

----------------

Anyways let's go back to base 5.

Instead of writing 4+1 = 5, we'd write 4+1 = 10 in base 5. The first digit rolls back to a 0 and we involve a second digit of 1.

Think how 9+1 = 10 in base 10.

Similarly,

44+1 = 100 in base 5

444+1 = 1000 in base 5

4444+1 = 10000 in base 5

and so on.

----------------

Here are the first few numbers in base 5, when counting up by 1 each time.

0, 1, 2, 3, 4,

10, 11, 12, 13, 14,

20, 21, 22, 23, 24,

30, 31, 32, 33, 34,

40, 41, 42, 43, 44,

100, 101, 102, 103, ...

Notice each new row is when the pattern changes from what someone would expect in base 10. This is solely because the digit "5" isn't available in base 5.

Answer:

$69.50

Step-by-step explanation:

As it was marked down 20%, this means the sale price would be 100-20=80%.  

When                   80%  ---- cost $55.60      

Therefore when 100% ---- cost = $55.60 * 100/80

So when we solve this, we get the final ans $69.50                                  

Answer:

6

Step-by-step explanation:

A=(bh)/2

a=(4*3)/2

a=12/2

a=6

Answer: 12 units 2

Step-by-step explanation:base times hight

Answer:

{ - 2 , 8 }

Step-by-step explanation:

[tex]log_{4}[/tex] ( x² - 6x ) = 2

4² = ( x² - 6x )

x² - 6x - 16 = 0

- 6 = - 8 + 2

- 16 = - 8 * 2

( x - 8 )( x + 2 ) = 0 ⇒ [tex]x_{1}[/tex] = - 2 , [tex]x_{2}[/tex] = 8

{ - 2 , 8 }

Answer:

35

area of traingle b xh/2 5x4/2 - 10

area of square lxl - 5x5 -25

add- 35

Answer:

The answer would be 35.

Step-by-step explanation:

The area of the shape would be 35 square centimeters because if we divide the shape into 3 different shapes, a square on the bottom and 2 triangles at the top, we can multiply the square's length and width to get an area of 25. Next, we'll multiply the 2 triangles length of 4 with the width of 5 to get a total area of 20 from both of them, we'll then divide the area of 20 by 2 to get 10. Now add 20 and 10 to get 35.

The impact of a paleolithic diet on cardiovascular markers in patients with diabetes is that it increases the concentration of certain fats in the blood.

It should be noted that diabetes simply means a condition when the blood glucose is too high.

In this case, the impact of a paleolithic diet on cardiovascular markers in patients with diabetes is that it increases the concentration of certain fats in the blood. It's simply a risk factor for heart diseases.

Learn more about diabetes on:

https://brainly.com/question/504794

a) The determination of the standard quota for the Dagonal district is 40.57%.

b) 1. The standard divisor is 267.19 (4,275/16).

2. The standard, lower, and upper quotas for the four districts are as follow:

                                North         South           East         West      

Standard quota     18.36%       26.32%     45.61%       9.71%

Lower quota             18%          26%            45%            9%

Upper quota             18%          26%            46%           10%

The quota method of apportionment is the use of the standard divisor to round off standard quotas, according to some agreed ground norms.

When the standard quota is rounded down to an integer, it gives the lower quota, and rounding up gives the upper quota.

The standard divisor is calculated as the total population divided by the total number of seats.

The standard divisor gives the average number of people represented by a Board or seat member.

Data and Calculations:

Residents of Hamilton, NY = 73,465

Board Trustee Members = 12

                              Basel         Heights       Dagonal      Total

Population            13,244         30, 415        29,806    73,465

Proportion            18.03%        41.40%         40.57%      100%

Allocation of Board

Seats                         2                  5                 5               12

Number of seats = 16 seats

                              North         South         East         West      Total

Population               785           1,125         1,950        415       4,275

Proportion            18.36%       26.32%     45.61%       9.71%    100%

Allocation of Board

Seats                        3                 4                7              2          16

Learn more about the quota system at https://brainly.com/question/12105335

Answer:

Volume of Prism = 1/2×h×l×b

I think the formula will help you.

There is no Height, I think question is incomplete

Answer:

54 kg

Step-by-step explanation:

We need to multiply!!

6 x 9 = 54

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

To find the volume of a rectangular prism, multiply the length, width, and height. The unit for measuring the volume of a rectangular prism is cubic units, i.e., cm3, mm3, in3, m3, etc.

Step-by-step explanation:

hope it helps

Answer:

A 1 PM

Step-by-step explanation:

Becasue it grows by an hour and a half each time

Answer: Easy. A. 1 pm.

.

Answer:

[tex]2x^3 +x^2 -5x+9 -\frac{17}{x+2}[/tex]

Step-by-step explanation:

See picture for explanation

The composite function combines the palm tree and the seed functions

The composite function is t(d) = 60d + 20

The functions are given as:

Number of palm trees: t(s) = 3s + 20

Number of seeds: s(d) = 20d

The composite function that represents the number of palm trees Carlos can expect to grow over a certain number of days is represented as:

t(s(d))

This is calculated as:

t(s(d)) = 3s(d) + 20

Substitute s(d) = 20d

t(s(d)) = 3 * 20d + 20

Evaluate the product

t(s(d)) = 60d + 20

Rewrite as:

t(d) = 60d + 20

Hence, the composite function is t(d) = 60d + 20

Read more about composite functions at:

https://brainly.com/question/10687170

Answer:

1426

Step-by-step explanation:

this question has been asked before and answered incorrectly but people corrected them in the comments.

Answer:

Y2-Y1

____

X2-X1

To FIND SLOPE. YOU DIVED THE DIFFERENCE OF THE Y- COORDINATES OF 2 POINTS ON LINE BY THE DIFFERENCE OF THE X- COORDINATES OF THOSE SAME 2 POINTS.

I THINK IT IS HELPFUL FOR YOU.?

Applying the tangent ratio, the distance of the worm from the base of the tree is: 24.2 ft.

Tangent ratio is part of the Trigonometry ratios, which is expressed as, tan ∅ = opposite side / adjacent side in a right triangle.

The information given would form a right triangle, where:

Applying the tangent ratio, we would have:

tan 30 = 14/x

x = 14/tan 30

x = 24.2 ft.

Therefore, applying the tangent ratio, the distance of the worm from the base of the tree is: 24.2 ft.

Learn more about tangent ratio on:

https://brainly.com/question/14169279

Answer:

c.  0.219

Step-by-step explanation:

If the coin is fair, then the probability of flipping a head is 1/2 = 0.5

Therefore, we can model this as a binomial distribution:

X ~ B(n, p) where n is the number of events and p is the probability of success

Given:

X ~ B(8, 0.5)

Using a calculator:

P(X = 5) = 0.21875 = 0.219 (3 dp)

Using the formula:

[tex]\sf P(X=x)=\dfrac{n!}{(n-x)!x!}p^x(1-p)^{n-x}[/tex]

(where n is the number of events, x is the number of desired successes and p is the probability of success)

[tex]\sf \implies P(X=5)=\dfrac{8!}{(8-5)!5!}0.5^5(1-0.5)^{8-5}[/tex]

[tex]\sf \implies P(X=5)=\dfrac{8!}{3!5!}0.5^50.5^3[/tex]

[tex]\sf \implies P(X=5)=56 \cdot 0.5^8[/tex]

[tex]\sf \implies P(X=5)=56 \cdot \dfrac{1}{256}[/tex]

[tex]\sf \implies P(X=5)=\dfrac{7}{32}[/tex]

[tex]\sf \implies P(X=5)=0.21875[/tex]

A) The transformations can be a vertical translation and an horizontal translation.

B) K = 8 and K' = 16

C) g(x) = f(x + 8)

    g(x) = f(x) + 16.

A ) By looking at the graph, we see that g(x) can be a translation to the left by K units or up by K' units.

B) In the case the translation is to the left, we can see that it the graph is moved 8 units, so K = 8.

In the case that the translation is up, we can see that it is for 16 units, so we have k' = 16.

C) How to write the equations?

An horizontal translation is written as:

g(x) = f(x + K).

Because the translation is to the left, we have that K is positive, then in our case we have:

g(x) = f(x + 8).

For the vertical translation the formula is:

g(x) = f(x) + K'

In our case, we have:

g(x) = f(x) + 16

If you want to learn more about transformations, you can read:

https://brainly.com/question/4289712

Answer:The transformations can be a vertical translation and an horizontal translation.B) K = 8 and K' = 16C) g(x) = f(x + 8)    g(x) = f(x) + 16.Which type of transformation could be used?A ) By looking at the graph, we see that g(x) can be a translation to the left by K units or up by K' units.B) In the case the translation is to the left, we can see that it the graph is moved 8 units, so K = 8.In the case that the translation is up, we can see that it is for 16 units, so we have k' = 16.C) How to write the equations?An horizontal translation is written as:g(x) = f(x + K).Because the translation is to the left, we have that K is positive, then in our case we have:g(x) = f(x + 8).For the vertical translation the formula is:g(x) = f(x) + K'In our case, we have:g(x) = f(x) + 16

Step-by-step explanation:

Answer:

16.

Step-by-step explanation:

Multiply 20 and 4/5 to get the result of who is going.

20 * (4/5)

(20*4)/5

80/5

16

16 friends will be going to the party.

Answer:

16 friends

Step-by-step explanation:

Out of 20 friends, 4/5 are going to the party. How many friends are going to the party?

4/5 * 20 or 20 * 4/5

[tex]\frac{4}{5}*20\\\\ \frac{4}{5} *\frac{20}{1} < ==reduce\\\\\frac{4}{1}* \frac{4}{1}\\\\\frac{16}{1} \\\\16[/tex]

Therefore, 16 friends are going to the party.

Hope this helps!

✿————✦————✿

Answer: A

[tex]62=\frac{12(1.04^{12}-1) }{1.04-1}[/tex]

✿————✦————✿