Samir, who has six different fruit trees growing in his yard, kept track of how many pieces of fruit he picked this year.

Oranges
5%
Persimmons
15%
Apricots
35%
Plums
15%
Apples
15%
Lemons
15%
Pieces of fruit picked


Samir picked a total of 100 pieces of fruit. How many lemons did he pick?

lemons

Step-by-step explanation:

1) Ans 3

2) Ans 6

3) Ans 4

4) Ans 1/5

5) Ans 1/23

If 32 superscript 2 c baseline = 8 superscript c 7 is the given expression then the value of c is 3.

The exponents of a number are defined as the representation of a number that shows how many times a number is multiplied by itself.

The given equation is 32 superscript 2 c baseline = 8 superscript c 7

[tex]32^{2c} = 8^{c+7}[/tex]

Write the expression in exponents form as

[tex](2^5)^{2c} = (2^3)^{c+7}[/tex]

[tex](2)^{10c} = (2)^{3c+21}[/tex]

Comparing the base,

10c = 3c + 21

10c - 3c = 21

7c = 21

c = 21/ 7

c = 3

Therefore, the value of c is 3.

Learn more about exponents;

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Answer: The Slope Is 3/4

Step-by-step explanation:

y = 3/4x + 2

This is given in slope intercept form y = mx+b where m is the slope

Parallel lines have the same slope

The slope is 3/4y = 3/4x + 2

Answer:

x is - 7

Step-by-step explanation:

Answer:

(6,4)

Step-by-step explanation:

First we must cross out the -2x and 2x since they're both opposites of each other and thus they cancel each other out.

Now we have:

3y = 0

2y = 20

So next we add the 3 and 2 to get 5y, and then we add 20 and 0 to get 20.

So now we have:

5y = 20

And so we'll simply divide by 5 on both sides, and the answer is y = 4.

Now normally we would plug 4 back in to one of the equations to solve for x, but since only one of the answer choices has 4 in the y position, we can already tell that (6,4) is the answer.

Hope this helps you. Sorry if it doesn't though.

w = 231 - 46

hope it helps...!!

Answer:

185

Step-by-step explanation:

[tex]x + 46 = 231 \\ x = 231 - 46 \\ x = 185[/tex]

By the vertical angle theorem, the two angles '5y + 12' and '82' are equal

    ⇒ [tex]5y + 12 = 82[/tex]

        [tex]5y = 70\\y = 14[/tex]

Thus x = 14

Hope that helps!

p.s. Definition of Vertical Angle Theorem: angles that are opposite each other and formed by two intersecting straight lines, are congruent

p.s. Diagram for what is Vertical Angle Theorem:

Answer:

y = 14

Step-by-step explanation:

82° = (5y + 12)°

5y = 82 - 12

5y = 70

y = 14

    {calculate carefully{

Recall some identities:

tan(x) = sin(x) / cos(x)

cos(x + y) = cos(x) cos(y) - sin(x) sin(y)

cos(x - y) = cos(x) cos(y) + sin(x) sin(y)

sin(x - y) = sin(x) cos(y) - cos(x) sin(y)

This means we have

• cos²(90° - x) = [cos(90°) cos(x) + sin(90°) sin(x)]²

… = sin²(x)

• tan(180° - x) = sin(180° - x) / cos(180° - x)

… = [sin(180°) cos(x) - cos(180°) sin(x)] / [cos(180°) cos(x) + sin(180°) sin(x)]

… = sin(x) / (-cos(x))

… = -tan(x)

(and we also get sin(180° - x) = sin(x))

• cos(180° + x) = cos(180°) cos(x) - sin(180°) sin(x)

… = -cos(x)

So, the given expression reduces to

sin²(x) (-tan(x)) (-cos(x)) / sin(x) = sin²(x)

since tan(x) and cos(x)/sin(x) = 1/tan(x) will cancel.

Answer:

Option 2

Step-by-step explanation:

Divide the co efficient of 'x' by 2 and the square the result.

14 ÷2 = 7

7² = 49

To make it a perfect trinomial, 49 should be added

x² +14x + 49 = x² + 2*x *7  + 7²        {Compare with a²+ 2ab + b² = (a +b)²}

                   = (x +7)²

Answer:

4%

Step-by-step explanation:

You can use the formula below to find the simple interest rate.

Simple interest = P r t / 100

Here,

P ⇒ Principle ⇒ $ 5000

r ⇒ rate ⇒ ??

t ⇒ time ⇒ 6 years

simple interest ⇒ $ 1200

Let us find it now.

Simple interest = P r t / 100

1200 = 5000 × r × 6 / 100

1200 × 100 = 30000r

120000 = 30000 r

Divide both sides by r.

4 = r

Therefore, the interest rate is 4%

Step-by-step explanation:

hope you have a great day going so far today

Answer:

l = 14 inches , b = 6 inches

Step-by-step explanation:

multiply length l and breadth b by the scale factor , then

new length = [tex]\frac{2}{5}[/tex] × 35 = 2 × 7 = 14 inches

new breadth = [tex]\frac{2}{5}[/tex] × 15 = 2 × 3 = 6 imches

The polynomial a(x) = -18x² - 6x + 12 is the dividend of the polynomial division

The quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12

The polynomial functions are given as:

a(x) = -18x² - 6x + 12

b(x) = 3x³ + 9x - 1

The quotient equation is given as:

a(x)/b(x) = q(x) + r(x)/b(x)

Since the degree of the dividend a(x) is less than the degree of the divisor b(x), then it means that the value of the quotient q(x) is:

q(x) = 0

And the remainder r(x) is:

r(x) = a(x)

Substitute known values

r(x) = -18x² - 6x + 12

Hence, the quotient q(x) is 0 and the remainder r(x) is -18x² - 6x + 12

Read more about polynomial division at:

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Answer:

22.5

Step-by-step explanation:

Radius = Circumference/(2*PI)

Answer:

C

Step-by-step explanation:

3(7x)=21x

-2(4-x)= -8+2x

21x-8+2x=23x-8

Answer:

diameter = 400 m

Step-by-step explanation:

Perimeter of circle = pi * d

 400 pi                  = pi * d

d = 400 meters  

Answer:

63

Step-by-step explanation:

Using the formula attached, we can setup the equation:

[tex]211 + (38 - 1) - 4[/tex]

Then using a calculator you can solve

The required 38th term of the given arithmetic sequence is 63.

Arithmetic progression is the series of numbers that have common differences between adjacent values

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

here,
Given sequence,
211,207,203,...
First term, a = 211
Common difference, d = 207 - 211 = -4

Now.
Nth term of an arithmetic progression,
Nth term = a + (n -1)d
Nth term of given sequence
Nth term = 211 - (n - 1)4

Now, put n = 38
38th term = 211 - (38 - 1)4
38th term = 211 - [37](4)
38th term = 211 - 148 = 63

Thus, the required 38th term of the given arithmetic sequence is 63.

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#SPJ2

Answer:

193

Step-by-step explanation:

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

3+1 can be simplified to 4

6 times 9 is 54

(4)(54)-23

216-23

193

Answer:

x = 1.79 to x = 3

Step-by-step explanation:

I think this is correct because the linear function grows at a constant rate so the point where the exponential function's line starts going up faster means that the growth rate is increasing. At the point (1.79,7.17) is when both lines intersect but the exponential function is growing at a faster rate than the linear function.

Answer:

x = 1.79 to x = 3

Step-by-step explanation:

Answer:

y=-x²+3x+5.

Step-by-step explanation:

1) the common view of the quadratic function is y=ax²+bx+c, where a, b and c - numbers;

2) according to the equation above, it needed to substitute the given coordinates and to make up the system of the equations:

point (0;5): c=5;

poit(1;7): a+b+5=7 ('c' is already known, 5);

point(-2;-5): 4a-2b+5=-5 (c=5);

3) to solve the system:

[tex]\left \{ {{a+b+5=7} \atop {4a-2b+5=-5}} \right. \ = > \ \left \{ {{a=-1} \atop {b=3}} \right.[/tex]

4) finally, if a=-1, b=3 and c=5, then

y=-x²+3x+5.

Answer:

c. one-tailed

Step-by-step explanation:

i think its this because i say so now trust :)

Answer:

have you missed out any option cause i doeant match with any of your options

Answer:

144° or 36°- depends on what you are asking.

Step-by-step explanation:

Since there are 190° in a straight line and there is 36° on one side. I then substracted 190-36 to get 144°.

If you are asking for the missing side of the triangle then the answer is 36° since this triangle is an equilateral triangle.

The simulation tool to use is (d) a bag containing 12 chips in three different colors, with four of each color

From the question, we have the following parameter:

Group, n = 3

The probability of selecting a group is:

p = 1/3

This means that the simulation tool to select must have a probability value of 1/3

From the question, the option (d) has a probability of 1/3

This is so because, we have:

So, the probability of selecting each color is 4/12 or 1/3

Hence, the simulation tool to use is (d)

Read more about probability at:

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Answer:

a bag containing 12 chips in three different colors, with four of each color

and i think

a six-sided number cube

Step-by-step explanation:

plato?

Answer:

20 minutes

Step-by-step explanation:

Answer:

Tanya misses the class for 20 minutes

Step-by-step explanation:

11:50  to 12: 00        ⇒  10 minutes

12:00 to 12: 10         ⇒ 10 minutes  

                                     20 minutes

Answer:

The answer to this is D $27,822.53

Step-by-step explanation:

Answer:

27,822.53

Step-by-step explanation:

(x+2)/3 = (3x-2)/6

6(x+2) = 3(3x-2)

6x+12 = 9x-6

12+6 = 9x-6x

18 = 3x

x = 6

Answer:

I`m not really sure what i`s asking to solve but here`s my best answer.

5x + 3 - 5.70 = 2x + 10y + 3.60

3x + 3 - 5.70 = 10y + 3.60

3x + 3 = 10y + 9.30

3x = 10y + 6.30

^^^That`s the most it can be simplified without any new fractions or decimals

3x = 10y + 6.30

x = 3.33y + 2.10

^^^That`s the most it can be simplified to solve for x.