In a marketplace, a box of peaches can be purchased for $78.95 per box. One box contains 50 peaches. How much would you have to pay to buy 9 peaches?
(Hint: Convert 9 peaches into dollars.)
Round your answer to the nearest hundredth. Do not type the units ($) in the space below.

Answer:

14.0008 grams of 27% and 7.9992 grams of 52%

Step-by-step explanation:

We know that in the end we want 22 grams of 36.09% copper, meaning in the end we want 36.09% of the 22 grams to be copper. This means we can multiply 36.09% by 22 to see how much copper we want in the end.

To find out how much of each alloy to use, we can multiply the percentage of copper in the alloy be a variable x, which will be how much of that alloy we use. For the other alloy, we can multiply the percentage by (22-x) grams as we know in the end we want 22 grams and if x+y=22, than y would equal 22-x, and in this case this simplifies it to only use a single variable.

Now finally, making the equation we get 27x+52(22-x)=36.09(22). We can solve this and get 27x+1144-52x=793.98, then combine like terms and get -25x+1144=793.98. Next you have to subtract 1144 from both sides to get -25x=-350.02. Dividing both sides by -25 we get x=14.0008. This is how many grams of 27% copper was used. Now we can subtract this from 22 to get how much 52% copper was used, and we get 22-14.0008=7.9992 grams of 52% copper.

The sides of the regular hexagon ABCDEF can be posed as a. If so, the area of ABCDEF should be 6 times the are of the interior angle in the hexagon, considering there are 6 equilateral triangle that can fit in this regular hexagon,

Area =  6( a * a * sin 60 ) / 2,

Area = ( About ) 2.6 sq units

Now applying cosine for triangle ABC -

AC^2 = AB^2 + BC^2 – ( 2*AB*BC*cos 120 ),

a^2 + a^2 – ( 2a^2 * ( - 0.5 ) ) = a^2 + a^2+a^2 =3a^2,

AC = a√3

The area of ABC should thus be the following -

( a√3 * a√3 * sin 60 )/2 = 1.299038106 sq units

As you can see, the area of ABC is half the area of ABCDEF, thus the ratio of the area of ABC to ABCDEF is 1 : 2

Answer:

3.5 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

in x²+y²+2gx+2fy+c=0

center=(-g,-f)

radius=√((-g)²+(-f)²-c)

if center is not changed ,then c will change .

Here only coefficients of  E will change.

Answer:

23.14

Step-by-step explanation:

Solve for the area of the figure by dividing it up into parts.  You can divide into a half-circle and a triangle

Half-Circle

The diameter is 6.  This means that the radius is 3.  Use the formula for area of a circle.  Divide the answer by two since you only have a half-circle.

A = πr²

A = π(3)²

A = 9π

A = 28.274

28.274/2 = 14.137

Triangle

The base is 3 and the height 6.  Use the formula for area of a triangle.

A = 1/2bh

A = 1/2(6)(3)

A = 3(3)

A = 9

Add the two areas together.

14.137 + 9 = 23.137 ≈ 23.14

The area is 23.14.

Answer:

Step-by-step explanation:

The figure consists of a semi circle and a triangle

Area of the figure = Area of semi circle + Area of triangle

Area of semi circle is 1/2πr²

where r is the radius

radius = diameter/2

radius = 6/2 = 3

Area of semi circle is

1/2π(3)²

1/2×9π

14.14 sq. units

Area of a triangle is 1/2×b×h

h is the height

b is the base

h is 6

b is 3

Area of triangle is

1/2×3×6

9 sq. units

Area of figure is

14.14 + 9

= 23.14

Which is 23 sq. units to the nearest hundredth

Hope this helps you.

Answer:

Parallel!

Step-by-step explanation:

If you put these points on a graph and connect the dots to be two lines, they are perfectly side to side :)

Answer:

log (3)           log (x)  

---------    +      ---------

    2                     2

Step-by-step explanation:

a. distribute to get → log (3)           log (x)  

                                  ---------    +      ---------

                                     2                     2

Hope this helped! :)

log√(3x) can be written in the expanded form as [tex]\frac{1}{2}[/tex] [log (3) + log (x)].

A logarithm is simply the opposite function of the exponentiation.

It is the exponent to which a number or value is raised to get some other number.

That is, if c = aˣ, then we can write it as x =logₐ c.

We know that,

√a can be written as (a) ^(1/2).

Similarly,

log√(3x) = log (3x)^(1/2)

Now, we have a rule for logarithms that, log aᵇ = b log a.

So,

log√(3x) = log (3x)^(1/2)

              = [tex]\frac{1}{2}[/tex] log (3x)

Using the multiplication rule of logarithms, log (ab) = log (a) + log(b),

              = [tex]\frac{1}{2}[/tex] [log (3) + log (x)]

Hence the expanded form is [tex]\frac{1}{2}[/tex] [log (3) + log (x)].

Learn more about Logarithms here :

https://brainly.com/question/29291192

#SPJ2

Answer:

65

Step-by-step explanation:

45, 50, 52, 58, 62, 68, 72, 78, 81, 95

62 + 68 = 130/2 = 65

The median is 65

Answer:

The median of the data is 65

Step-by-step explanation:

I did it on edge and got it right

Responda:

13 gramas

Explicação passo a passo:

Answer:

a. The distribution of the sample means is normal with mean 190 mm and standard deviation 1.1031 mm.

b. The probability that the average hand length is less than 189 is P(M<189)=0.1823.

c. The third quartile for the average adult male hand length for this sample size is M_75=190.7440.

d. The assumption of normality is not necessary as the sampling distribution will tend to have a bell shaped independently of the population distribution.

Step-by-step explanation:

We have a normal distribution, with mean 190 and standard deviation 7.4.

We take samples of size n=45 from this population.

Then, the sample means will have a distribution with the following parameters:

[tex]\mu_s=\mu=190\\\\ \sigma_s=\dfrac{\sigma}{\sqrt{n}}=\dfrac{7.4}{\sqrt{45}}=\dfrac{7.4}{6.7082}=1.1031[/tex]

The probability that the sample mean is less than 189 can be calculated as:

[tex]z=\dfrac{M-\mu}{\sigma/\sqrt{n}}=\dfrac{189-190}{7.4/\sqrt{45}}=\dfrac{-1}{1.1031}=-0.9065\\\\\\P(M<189)=P(z<-0.9065)=0.1823[/tex]

The third quartile represents the value of the sample where 75% of the data is to the left of this value. It means that:

[tex]P(M<M^*)=0.75[/tex]

The third quartile corresponds to a z-value of z*=0.6745.

[tex]P(z<z^*)=0.75[/tex]

Then, we can calculate the sample mean for the third quartile as:

[tex]M=\mu_s+z^*\sigma_s=190+0.6745\cdot 1.1031=190+0.7440=190.7440[/tex]

The assumption of normality is not necessary as the sampling distribution will tend to have a bell shaped independently of the population distribution.

Answer:

T < -25

Step-by-step explanation:

Was correct on TTM

Answer:

R= sqrt 445

Y = 19

Step-by-step explanation:

Radius is the square root of 445

Find y

So, First step is to substitute what you have

-9^2 + y^2 = 445

 81 + y^2 = 445

-81               -81

y^2 =364

Y is about 19

Let me know if I'm incorrect

Hope this helps :)

Answer: 25 units

Step-by-step explanation:

Simply do 40(UN)-15(CN) to get 25(UC)

Hope it helps <3

Answer:

Option D is the correct option

Solution,

Here,

UN = 40

CN = 15

Now,

UN = UC + CN

plugging the values,

40 = UC + 15

-UC = 15 - 40

-UC = -25

The difference sign (-) will be cancelled in both sides:

UC = 25

hope this helps...

Good luck on your assignment..

Answer:

Common denominator - 42

Step-by-step explanation:

6 - 6, 12, 18, 24, 30, 36, 42

7 - 7, 14, 21, 28, 35, 42

Hope this helps! :)

Answer:

33

Step-by-step explanation:

2/5x40=16

40-16=24

24+9=33

33 marbles

2/5 is .4

Multiply .4 by 40 to get 16

Subtract 16 from 40 to get 24

Add 9 to 24 to get 33

Hope it helps <3

(If it does, please mark brainliest, only need 1 more to get rank up :) )

Answer:  B) contain the points E and F

Step-by-step explanation:

Dilation of 2 means to multiply both the x- and y-coordinates by 2

see image below

The only option that is true that E'F' contains points E and F

Answer:

  contains the points E and F

Step-by-step explanation:

The center of dilation is an invariant point. It doesn't move, regardless of the dilation factor.

Likewise, any line through the center of dilation will not move. It is not rotated or translated by dilation--it simply is stretched (or compressed) along its length. It is still an infinite line, and it still goes through all of the points it went through before dilation.

The line through the center of dilation that contains points E and F, after dilation, ...

  contains the points E and F.

Answer:

40x - 16

Step-by-step explanation:

(see attached for reference)

By utilizing the distributive property:

4(10x -4)

= (10x)(4) -4 (4)

= 40x - 16

Answer:

4x10x= 40x           -4x4=-16         40xtimes-4<-----------thats your answer

Step-by-step explanation:

Answer:

[tex]d \approx 2.2[/tex]

Step-by-step explanation:

It is the same process as in previous problems.

Once the origin is the point (0, 0):

[tex]d=\sqrt{(x_{1}-x_{2})^2 + (y_{1}-y_{2})^2}[/tex]

[tex]d=\sqrt{(2-0)^2 + (-1-0)^2}[/tex]

[tex]d=\sqrt{2^2 + (-1)^2}[/tex]

[tex]d=\sqrt{5}[/tex]

[tex]d \approx 2.2[/tex]

Answer:

2.2

Step-by-step explanation:

The distance formula

[tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex] with

[tex]x_1=0\\y_1=0\\x_2=2\\y_2=-1[/tex]

[tex]\sqrt{(0-2)^2+(0-(-1))^2}=\sqrt{2^2+1^2}=\sqrt{5}[/tex]

[tex]\sqrt{5} =2.2360...=2.2[/tex]

Answer: G = (19) × (26) × (16)

Step-by-step explanation:

The isomorphism classes of Abelian groups of order 12 are Z₄ ⊕ Z₃ and Z₂ ⊕ Z₂ ⊕ Z₃

SO Let us calculate the orders of some of the elements of G

We have

4² = 16,

4³ = 64

    = 19,

and

4^4 = 19.4

      = 76

      = 31.

furthermore,

4^5 = 31.4

       = 124

       = 34

and

4^6 = 34.4

      = 136

      = 1

Hence, 4 and 34 each have order 6, 16 and 31 each have order 3, and 19 has order 2.

Next, we calculate

11² = 121

    = 31

and

11³ = 11.3

    = 341

    = 26

this is the calculation needed.

26² = 11^6

      = 31³

       = 1

since we already showed that 31 has order 3. This means that 26 has order 2

Since G has two distinct elements of order 2, it cannot be isomorphic to . We conclude

that G = Z₂ ⊕ Z₂ ⊕ Z₃

Finally, we will express as an internal direct product.

The previous calculations show that

(19) = { 1, 19 }

and (26) = { 1, 26 }

are cyclic subgroups of G of order 2 with trivial intersection. We have

(19) × (26) = { 1, 19, 26, 44 }

since

(16) = { 1, 19, 26, 44 }

has trivial intersection with (19) × (26),  conclude that

G = (19) × (26) × (19)

Answer:

5 5/12

Step-by-step explanation:

you find the common denominator which is 12

2 6/12

8/12

2 3/12

now u add them all

hope this helps

Answer:

5 5/12 cups

Step-by-step explanation:

Answer:

[tex] c = 77.6 [/tex]

Step-by-step explanation:

You may have entered the measure of a side as the measure of an angle.

[tex] \dfrac{\sin A}{a} = \dfrac{\sin C}{c} [/tex]

[tex] \dfrac{\sin 75^\circ}{150} = \dfrac{\sin 30^\circ}{c} [/tex]

[tex] c\sin 75^\circ = 150 \sin 30^\circ [/tex]

[tex] c = \dfrac{150 \sin 30^\circ}{\sin 75^\circ} [/tex]

[tex] c = 77.6 [/tex]

You are correct. Good job!

Answer:

given,

selling price (sp)=rs 5 ×30

=rs 150

now, gain %=20%

cost price (cp)=

[tex] \frac{sp \times 100}{100 + gain\%} [/tex]

[tex] = \frac{150 \times 100}{100 + 20} [/tex]

therefore cp= rs125

now,

again in 2nd case

sp= rs 27×5

therefore sp=rs 135

and cp= rs125

now, sp>cp so,

[tex]gain\% = \frac{sp - cp}{cp} \times 100\%[/tex]

or, gain=

[tex] = \frac{135 - 125}{125} \times 100\%[/tex]

therefore gain %= 8%.... is answer

hope it helps..

Answer:

  f(x) = –x^2 – 12x – 36

Step-by-step explanation:

The parent function, x^2, touches the x-axis at x=0. Translating it 6 units left replaces x with x-(-6) = x+6, so the function is ...

  f(x) = (x+6)^2 = x^2 +12x +36

Reflecting the graph across the x-axis doesn't change the x-intercept, so Heather could be writing ...

  f(x) = -x^2 -12x -36

It's D.

I have to have at least 20 characters.

Answer:

The suitcase originally weighed 44kg.

Step-by-step explanation:

1- 0.25= 0.75 (multiplier)

33÷0.75=44

The suitcase originally weighed 44kg

Answer:

[tex] {1000}^{m} \div {100}^{n} \\ \\ {10}^{3m} \div {10}^{2n} [/tex]

Since they have the same base and are dividing we subtract the exponents

That's

[tex] {10}^{3m - 2n} [/tex]

So

Hope this helps you

Answer:

[tex]\boxed{ z = 3m-2n}[/tex]

Step-by-step explanation:

=> [tex]1000^m / 100^n[/tex]

=> [tex](10)^{3m} / (10)^{2n}[/tex]

Using rule of exponents [tex]a^m/a^n = a^{m-n}[/tex]

=> [tex]10 ^{3m-2n}[/tex]

Comparing it with [tex]10^z[/tex], we get

=> z = 3m-2n

[tex]\text{We need to find how much the store will sell a GPS navigation system}\\\\\text{We know that the store paid \$56 for it}\\\\\text{We also know that they will mark up the price by 25\%}\\\\\text{We can find 25\% of 56}\\\\56\cdot0.25=14\\\\\text{We can now add that to the original price to get the price the store}\\\text{will sell it for}\\\\56+14=70\\\\\boxed{\$70}[/tex]