Frank, mary and seth shared some sweets in the ratio 4;5;7
Seth got 18 more sweets than frank
work oout the total number of sweets they shared

Answer:100,000,000

Step-by-step explanation:

1,000,000 x 100 = 100,000,000

The sale price of the backpack is $25.5, the sale price of the soccer ball is $13.005, and the sale price of one jacket is 17.918.

Given:

The sale price of every item in a store is 85 percent of its regular price.

1. The regular price of a backpack is $30.

Then, the sale price = 85% of (the regular price of a backpack )

= 0.85  x ($30)

= $25.5

Hence, the sales price of the backpack = $25.5

2. The regular price of a soccer ball is = $15.30

The sale price of the soccer ball is 85% of its regular price.

Therefore, the sale price = 85% of $15.30

= $13.005

So, the sale price of the soccer ball is $13.005.

3. The regular price of a jacket is $21. 08

The sale price of a jacket is 85% of its regular price.

Therefore, the sale price = 85% of $21. 08

= $17.918

So, the sale price of a jacket is $17.918.

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Answer:

f(x) represents the total expense and x represents the amount of peaches.

Step-by-step explanation:

yeah

Answer:

X represents the number of peaches Julie bought. And FX represents the total cost of peaches and a quart of orange juice.

Step-by-step explanation:

Answer:

E

Step-by-step explanation:

Its simple

a. The slope is 0.068.

b. For every $1 million increase in gross revenue, there is an estimated increase of $68,000 in profit per equity partner.

c. The standard error of the estimate is 9.66.

d. The predicted profit per equity partner for a firm with a gross revenue of $675 million is $45,960.

a. The slope is 0.068. This means that for every $1 million increase in gross revenue, there is an estimated increase in profit per equity partner of $68,000. This suggests that there is a positive relationship between gross revenue and profit per equity partner.

b. The standard error of the estimate is 9.66. This shows that the estimated slope is likely to be within 9.66 of the true slope.

c. For a firm with a gross revenue of $675 million, the predicted profit per equity partner is $45,960. This value is determined by multiplying the gross revenue by the slope and adding the intercept.

d. In conclusion, the slope shows that an increase in gross revenue will increase the profit per equity partner, and the standard error of the estimate indicates that the estimated slope is likely to be within 9.66 of the true slope. The predicted profit per equity partner for a firm with a gross revenue of $675 million is $45,960

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The number of sales a promoter can expect if he spends $10,000 in advertising is $80,000 that is option B.

While going through a word problem like this, read it a few times to comprehend the context without focusing too much on the numbers..... Something along the lines of....

"If a promoter spends money on advertising, he will get more customers."

Short sentences should be used to summarise the content.

$10,000 is spent by the promoter.

"For every $100 spent, 20 new customers are drawn."

"Tickets are $40."

In one calculation this would be:

Using ratio of,

income/expenditure = 800/100 = income/10,000

= 10000 x 20 x 40 / 100

= 80,000

Therefore, the value of sale increase should be $80,000.

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Answer: C=0

Step-by-step explanation:

expand \(5\left(2c-3\right)\) : \(10c-15\)

expand \(3\left(3c\:-\:5\right)\) : \(9c-15\)

\(10c-15=9c-15\)

add 15 on both sides

\(10c-15+15=9c-15+15\)

simplify

\(10c=9c\)

\(\mathrm{Subtract\:}9c\mathrm{\:from\:both\:sides}\)

\(10c-9c=9c-9c\)

simplify

\(c=0\\\)

Answer:

C=0

Step-by-step explanation:

Hope it helps.

Answer:

  30 cm³

Step-by-step explanation:

You want the volume of a small pyramid similar to a larger one of volume 810 cm³ if the scale factor is 1/3.

The scale factor for volume is the cube of the scale factor of the linear dimensions:

  volume scale factor = (1/3)³ = 1/27

The volume of the smaller pyramid is that of the larger pyramid multiplied by the volume scale factor:

  (810 cm³) × (1/27) = 30 cm³

The volume of the smaller pyramid is 30 cm³.

In a chi-square test, the  influence of the difference between fe and fo to the outcome is: "the larger the difference, the larger the value of chi-square and the lower the likelihood of rejecting the null hypothesis." (option b)

In a chi-square test, the test statistic (chi-square) measures the difference between the observed frequencies (fe) and the expected frequencies (fo) under the null hypothesis. The larger the difference between fe and fo, the larger the value of chi-square.

When the chi-square value is larger, it indicates a larger discrepancy between the observed and expected frequencies. This suggests that the data deviates more from what would be expected under the null hypothesis.

In a chi-square test, we compare the chi-square value to a critical value to determine whether to reject or fail to reject the null hypothesis. A larger chi-square value makes it less likely to reject the null hypothesis because it indicates a smaller likelihood of the observed data being due to chance.

Therefore, the correct answer is option b.

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Joe's Bamboo Hut Kitchen and Seafood, Patong: See 5 unbiased reviews of Joe's Bamboo Hut Kitchen and ... Traditional Thai food with an amazing variety including fresh seafood all at an extremely affordable price and .

Given :

Roberto invested a total of $10,000, part at 6% and part at 9%.

To Find :

How much did he invest in the higher interest account if the total interest earned in one year was $810 .

Solution :

Let , x amount is invested in 6% interest .

Therefore , 10000-x amount is invested in 9% interest .

Now , total interest is $810 .

We know , simple interest is given by :

\(I=\dfrac{PRt}{100}\)

So ,

\(\dfrac{x(1)(6)}{100}+\dfrac{(10000-x)(1)(9)}{100}=810\\\)

Solving above equation , we get :

\(x=\$3000\) .

Therefore , investment on higher i.e 9 % is 10000-3000 = $7000 .

Hence , this is the required solution .

The probability that the entire surface can be painted is 0.7486.

The probability formula is:

For instance, when we flip a coin, there are just two possible results:

Z score is given by:

From the Z table:

Therefore, the probability of painting the full surface is 0.7486.

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Answer:

m=5

Step-by-step explanation:

c=30m+50

c=20m+100

substitute

20m+100=30m+50

like terms

100-50=30m-20m

50=10m

m=5

Answer:

m = 5

Step-by-step explanation:

We know that c = c.

Since c is also equal to 30m+50 and 20m+100, 30m+50 = 20m+100 is just saying c = c. Then we solve that equation:

30m+50 = 20m+100

Same to both sides

10m = 50

divide by 10

m = 5

Let me know if you have any questions

Answer:

The green box

Step-by-step explanation:

1.26 > 1.026

This is because the tenths value of 1.26 is greater than the tenths value of 1.026.

Answer:

The green box would be your answer.

Step-by-step explanation:

When you look at the decimals place, the Red boxes decimal place has a 0 infront of the 26 making it a smaller decimal.

Answer:

34x+y=3

Step-by-step explanation:

Standard Form: ax+by=c.

y=-34x+3

y-(-34x)=3

y+34x=3

34x+y=3

Answer:

D. 33.49

Step-by-step explanation:

The value of x is 33.49°.

A triangle with one of its angles measuring 90° is known as a right triangle.

Given a right triangle with a hypotenuse of length 58 and a leg of length 32.

Use the sine rule:

(sin90°) / 58 = (sinx) / 32

sinx = 32/58

x = sin⁻¹ ( 32/58)

x = 33.49°

Hence, the value of x is 33.49°.

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The Clara took 15.5 minutes more than usual to reach the farmers' market today, given that she walked leisurely.

Clara usually takes 22 minutes to walk briskly to the farmers' market. However, today she walked leisurely and it took her 6.5 minutes to reach the market. We need to find how much more time she took than usual to reach the market.

To find the difference in time, we need to subtract the usual time from the time she took today:

Time taken today - Usual time = Difference in time

Substituting the given values:

6.5 minutes - 22 minutes = Difference in time

Simplifying the expression:

-15.5 minutes = Difference in time.

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Answer : The length of QT is 19.

Step-by-step explanation :

As we are given:

Length of RT = 11

Length of RS = 8

As we are given that R is the mid-point of line QS. That means,

Length of RS = Length of QR = 8

Now we have to calculate the length of ST.

Length of ST = Length of RT - Length of RS

Length of ST = 11 - 8

Length of ST = 3

Now we have to calculate the length of QT.

Length of QT = Length of QR + Length of RS + Length of ST

Length of QT = 8 + 8 + 3

Length of QT = 19

Therefore, the length of QT is 19.

Answer:

10 just find the difference between the two

Step-by-step explanation:

16-6=10

Wangmo have 6 years of teaching experience.

Two algebraic expressions having same value and symbol '=' in between are called as an equation.

Let Wangmo has x years of experience.

Jigsel has 6 more years of teaching experience than Wangmo.

So, Jigsel has x + 6 years of experience.

According to the question,

the two of them have 16 years of teaching experience altogether.

That means,

we have the equation,

(x+6) + x = 16

2x = 16 -6

2x = 10

x = 10/2

x = 5

Therefore, Wangmo has 6 years of experience.

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The new vertices of the rectangle after dilation are: P'(72, 72), Q'(72, -72), R'(-72, -72), and S'(-72, 72).

To find the algebraic representation of the dilation, we need to use the formula for dilation: (x', y') = (kx, ky), where (x, y) are the original coordinates, (x', y') are the new coordinates after dilation, and k is the scale factor.
In this case, the center of dilation is the origin (0, 0) and the scale factor is 12. We can apply the formula to each vertex of the rectangle to find the new coordinates after dilation:
Vertex P(6, 6):
x' = 12 × 6

= 72
y' = 12 × 6

= 72
Vertex Q(6, -6):
x' = 12 × 6

= 72
y' = 12 × -6

= -72
Vertex R(-6, -6):
x' = 12 × -6

= -72
y' = 12 × -6

= -72
Vertex S(-6, 6):
x' = 12 × -6

= -72
y' = 12 × 6

= 72
The algebraic representation of the dilation is:
P'(x', y') = (12x, 12y)
Q'(x', y') = (12x, -12y)
R'(x', y') = (-12x, -12y)
S'(x', y') = (-12x, 12y)
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Answer:

i dont either :)

Step-by-step explanation:

Answer: 3x^2-5x

5x^2-15xy

Step-by-step explanation:

Answer:

3x² - 5x & 5x² - 15 xy

Step-by-step explanation:

1) x(3x - 5)

x × 3x - x × 5 (take the brackets out)

3x² - 5x.

2) 5x (x - 3y)

5x × x - 5x × 3y (take the brackets out)

5x² - 15 xy

Answer:

The y intercept is 1

Step-by-step explanation:

The line crosses the y axis at 1

Answer:

y-intercept = 1

Step-by-step explanation:

The y-intercept is where the line crosses on the y-axis

The whole equation to this problem is (y=\(\frac{1}{3}\) + 1)

Answer:

x=4.875

y=-0.25

Step-by-step explanation:

4x – 2y = 10

2x-y=10

y=2x-10

4x + 6y = 18

2x+3(2x-10)=9

8x=39

x=4.875

y=2(4.875)-10

y=-0.25

a) The probability of picking at least one green marble is given as follows: 5/9, option D.

b) The expected number of repetitions with the same color is given as follows: 150 repetitions.

A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.

The number of outcomes in this problem is given as follows:

9.

The number of outcomes in which at least one green was picked is:

5.

Hence the probability is of:

p = 5/9.

3 outcomes had the same color, (G,G), (O,O) and (B,B), hence the probability is given as follows:

p = 3/9

p = 1/3

Out of 450 repetitions, the amount is given as follows:

E(X) =  1/3 x 450 = 150 repetitions.

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The area of a square can be found by using the following expression:

where "A" is the area and "l" is the length of each side of the square. The square on this problem has an area of 9 cm², so we can find the sides by replacing A for 9 on the expression above.

To solve it we need to take the square root on both sides of the equation.

Each side of the square has a length of 3 cm, so the sides are 3 cm x 3 cm.

Given that a rectangle ABCD, where AB = 4, side BC that AP 3 and P lies on diagonal AC such 3/2. We have to find the distance PB.Solution:In the given rectangle ABCD,AB = 4Therefore,

AD = BC = 4 [because opposite sides of a rectangle are equal]P lies on diagonal AC and AP = 3We have to find PBWe will use the Pythagorean theorem and properties of similar triangles to find the distance PB.From triangle APD,

Using Pythagorean theorem,PD2 = AD2 + AP2 = 42 + 32 = 16 + 9 = 25PD = √25 = 5From triangle ABC,Using Pythagorean theorem,AC2 = AB2 + BC2 = 42 + BC2BC2 = AC2 - AB2= (3/2)2 - 42= 9/4 - 16= - 55/4 [As, the value inside the square root can't be negative, Therefore PB can't exist, and we can say that PB is imaginary or it doesn't exist]Hence, the distance PB is imaginary or it doesn't exist.

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Answer

You can simplify this as

2

(

1

+

√

3

i

This is not needed, but I like to work with easier terms. Next, you remember that

z

=

r

(

cos

(

θ

)

+

i

sin

(

θ

)

)

.

r

is called the modulus of

z

and it is defined as

√

x

2

+

y

2

=

|

z

|

. Yes, that's the same symbol for the absolute value, but in complex numbers, it defines the modulus. (This has to do with metric spaces)

Hence,

r

=

2

Now, to find

θ

which is also called the argument of z, you use

tan

−

1

(

√

3

1

)

=

π

3

The proof of this lies in basic trigonometry, but it is more easily seen from Euler's Formula and unit vectors.

Now, not forgetting the

−

2

at the beginning, we get:

−

2

(

1

+

√

3

i

)

=

−

4

(

cos

(

π

3

)

+

i

sin

(

π

3

)

)

Answer:

Below

Step-by-step explanation:

Find the MAGNITUDE  (r)   ( using pyhagorean theorem)

  sqrt ( 2^2 + (-2sqrt3)^2 ) = sqrt (4 + 12) =   4

  Find the angle formed  as  arctan ( -2/sqrt3 / 2) =

                                                  -60 degrees (or 300 degrees)

                                                        r      θ

then the polar coordinates are      4 , -60°

Transformation of coordinates :

Cartesian (x, y) =====>   Polar (r, θ)

r = √(x2+y2)         θ = tan−1 (y/x)