Georgia and Courtney share sweet in the ratio 4:7. Courtney gets 24 sweets than Georgia. How many sweets do they both get?

Answer:

they are different numbers

Step-by-step explanation:

when you subtract 35-15 it comes out to 20 and the other one comes out to 17

Answer:

Running rate of Destiny is 15 kmph

Step-by-step explanation:

Running rate of Destiny is the speed at which Destiny is running.

It can be calculated by finding the difference in the distance covered to the difference in the time taken.

So,

Running rate = Difference in distance covered / Difference in time taken

Difference in distance covered = 5-3 = 2 km

Difference in time taken = 10:44 am - 10:36 am = 44 -36 minutes = 8 mins =8/60 hour = 2/15 hour

Running rate = 2/(2/15) kmph =(2*15)/2 = 15 kmph

∴Running rate of Destiny is 15 kmph

Answer:

Since AG = GC then AD must equal DC

2x -3 = x +2

x = 5

Step-by-step explanation:

I'm guessing 10 days, since you lost a bit more than half of the workers, and it would take longer for the job to get done.

Final answer:

To find the measure of angle K in the isosceles trapezoid JKLM, set the expressions for angle J and angle M equal to each other and solve for x. Substituting the value of x into one of the angle expressions will give the measure of angle K.

Explanation:

To find the measure of angle K in the isosceles trapezoid JKLM, we can use the fact that the opposite angles in an isosceles trapezoid are congruent. Since angle J and angle M are given in terms of x, we can set them equal to each other and solve for x:

17x + 7 = 11x + 13

Simplifying the equation, we get:

6x = 6

x = 1

Now that we have the value of x, we can substitute it back into one of the angle expressions to find the measure of angle K:

m∠K = 17(1) + 7 = 24 degrees

Answer:

C. 81[-4/3]^n-1

Step-by-step explanation:

The explicit formula for a geometric sequence is given by a_n = a * r^(n-1). Using the provided values of a2 = 108 and a5 = 256, we can establish two equations to solve for 'a' and 'r'. This results in two possible explicit formulas for the sequence.

In a geometric sequence, each term after the first is obtained by multiplying the previous term by a fixed, non-zero number called the common ratio. If we denote the first term of the sequence by 'a' and the common ratio by 'r', then the explicit formula of the sequence is: a_n = a * r^(n-1). Given that a2 = 108 (the second term is 108) and a5 = 256 (the fifth term is 256), we have two equations: a*r = 108 and a*r^4 = 256. Dividing the second equation by the square of the first equation, we get r^2 = 256/108^2 = 0.022. So, r is about +- 0.148. Substituting r into the first equation, we can solve for a. This gives us two possible explicit formulas for the sequence depending on whether we take the positive or negative value of r.

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Answer:

28%

Step-by-step explanation:

Percentage mark up = (new - original) / original  * 100 %

     new = 704

     original =  550                              

Substituting these values in

     Percentage mark up = (704 - 550) / 550  * 100 %

                                         =154/550 * 100%

                                         =.28*100%

                                            28%

[tex]\bf \begin{array}{ccll} cans&\$\\ \cline{1-2} 12&33\\ 5&x \end{array}\implies \cfrac{12}{5}=\cfrac{33}{x}\implies 12x=165 \\\\\\ x=\cfrac{165}{12}\implies x=13.75[/tex]

Answer:

$13.75

Step-by-step explanation:

Divide $33 by 12 to find out how much each can of nuts costs, which is $2.75. Now multiply that by 5 to get the cost of 5 cans of nuts. $13.75.

Answer:

see below  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

14% ÷ 12 (MONTHS IN THE YEAR) = 1.16666667

If rounding to the nearest 10th of a percent the answer is 1.2% increase per month.

Answer:

1.1%

Step-by-step explanation:

Annual rate: 14 % = [tex]\frac{14}{100}  = 0.14[/tex]

Monthly rate  = [tex](1 + r )^{\frac{1}{12} } - 1[/tex]

=   [tex](1 + 0.14 )^{\frac{1}{12} } - 1[/tex]

=   [tex](1.14 )^{\frac{1}{12} } - 1[/tex]

= 1.01097 - 1

= 0.01097

In percent it becomes: 0.01097 * 100 = 1.097%

Rounded to the nearest tenth: 1.1%

Answer:

[tex]a= \frac{-52-b}{4}[/tex]

Step-by-step explanation:

Rearrange the equation so b is the independent variable.

To get 'b' as a independent variable , we need to get 'a' alone

WE need to solve for 'a' so that 'a' depends on variable b and 'b' becomes independent variable

4a+b=−52

To get 'a' alone , subtract 'b' from both sides

4a = -52-b

Divide by 4 on both sides

[tex]a= \frac{-52-b}{4}[/tex]

Answer:

a=-13-1/4b

Step-by-step explanation:

I got it on khan academy I didn’t get what the guy before got but sorry if it’s wrong

Step-by-step explanation:

so for example lets say the fractions are 1/4 and 2/3

you would multiply them to make the eqution look like this-                 [tex]\frac{1}{4}[/tex]·[tex]\frac{2}{3}[/tex]

so then you would cross simplify, since 2 is a factor of 4 we will factor them out, so itll look like this=

[tex]\frac{1}{2}[/tex]·[tex]\frac{1}{3}[/tex]

then you multiply the denominator with denominato and numerator with numerator, so the answer is 1/6

Hello There!

To multiply fractions, you first want to line up the numerator and the denominator together so they line up with each other.

Next, you want to multiply across. This includes multiplying the numerators together and then multiplying the denominators together.

Finally, you want to find the greatest common factor but only if the fraction can be simplified.

That Is How To Multiply Fractions

Answer:

[tex]3\frac{1}{4}[/tex] divide by [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]3\frac{1}{4}[/tex] is a mixed fraction and it can be written as

[tex]\frac{3*4+1}{4}=\frac{13}{4}[/tex]

13/4 can be break into

[tex]\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{3}{4}+\frac{1}{4}[/tex]

[tex]\frac{13}{4}[/tex] can be divided into [tex]\frac{3}{4}[/tex] and it is left with

[tex]\frac{1}{4}[/tex]

[tex]3\frac{1}{4}[/tex] divide by [tex]\frac{3}{4}[/tex]

Answer: $9.75

Step-by-step explanation: I think this is how you do it. 20h=195 so you divide 195 by 20 to find our how much he gets an hour.

Answer:

9.75

Step-by-step explanation:

You have to divide the both by 20 since there is any like terms or anything to use, but you can use division on both sides since its 20h = 195.

20h   =    195

20            20

h       =     9.75

Answer:

∠CAT = 140°

Step-by-step explanation:

Since AB bisects ∠CAT then ∠BAT = ∠CAB, hence

5x + 20 = 2x + 50 ( subtract 2x from both sides )

3x + 20 = 50 ( subtract 20 from both sides )

3x = 30 ( divide both sides by 3 )

x = 10

∠CAT = ∠BAT + ∠CAB = 5x + 20 + 2x + 50 = 7x + 70

substitute x = 10 into the expression

∠CAT = (7 × 10) + 70 = 70 + 70 = 140°

With a principal of $5,000, an interest rate of 3.8%, over 22 years, Jackson's principal will grow to $11,535

Given: principal is $5000, interest rate is 3.8% and it is compounded continuously

To find: amount when Jackson is 40 years old

To solve this problem, we use the formula for continuous compounding interest:

[tex]A = P \times e^{rt}[/tex]

where:

A is the total amount of money

P is the principal

r is the annual interest rate (decimal form, so 3.8% becomes 0.038)

t is the time in years

Time here will be 22 years as Jackson deposited the money when he was 18 years old. So, the difference of 40 and 18 gives us 22 years.

Now we can find the total amount by plugging in the values:

[tex]A = 5000 \times e^{0.038 \times 22}\\[/tex]

[tex]A= 5000 \times e^{0.836}\\[/tex]

[tex]A= 5000 \times 2.307\\[/tex]

[tex]A = 11535[/tex]

Therefore, Jackson's account will have $11,535 when he is 40 years old.

Final answer:

To find the equation of the circle, we need the center coordinates and the radius. In this case, the center is (3, -2) and the circle passes through the point (0, 2). Using the distance formula, the radius is found to be 5. Therefore, the equation of the circle is [tex](x - 3)^2 + (y + 2)^2 = 5^2[/tex].

Explanation:

To find the equation of a circle, we need the center coordinates and the radius. In this case, the center is (3, -2) and the circle passes through the point (0, 2). We can use the distance formula to find the radius, which is the distance between the center and the point on the circle.

Using the distance formula, [tex]d = \sqrt{((x2 - x1)^2 + (y2 - y1)^2)[/tex], we have:

[tex]d = \sqrt{((0 - 3)^2 + (2 - (-2))^2)} = \sqrt{((-3)^2 + (4)^2)} = \sqrt{(9 + 16)} = \sqrt{(25)} = 5[/tex]

So, the radius is 5. Therefore, the equation of the circle is

[tex](x - 3)^2 + (y + 2)^2 = 5^2[/tex]

To find the equation of the circle with center at (3, -2) and passing through the point (0, 2), use the standard form and calculate the radius. Then, the equation is (x - 3)² + (y + 2)² = 25.

To find the equation of a circle with center at (3, -2) and passing through the point (0, 2), we can use the standard form of the equation of a circle, which is:

(x - h)² + (y - k)² = r²

Here, (h, k) is the center of the circle, and r is the radius. Given the center (3, -2), we substitute h = 3 and k = -2:

(x - 3)² + (y + 2)² = r².

Next, we find the radius by calculating the distance between the center (3, -2) and the point (0, 2) using the distance formula:

r = [tex]\sqrt{(0 - 3)^2 + (2 + 2)^2}[/tex]

= √(9 + 16)
= √(25)
= 5.

With r = 5, we can now write the full equation of the circle:

(x - 3)² + (y + 2)² = 25

To summarize, the equation of the circle with center at (3, -2) and passing through the point (0, 2) is (x - 3)² + (y + 2)² = 25.

Answer:

0.8

Step-by-step explanation:

We can solve P(A or B) by using the following:

[tex]P(AorB)=P(A)+P(B)-P(AandB)[/tex]

Since we know P(A) = 0.6, P(B) = 0.3 and P(A and B) = 0.1 we obtain:

[tex]P(AorB)=0.6+0.3-0.1=0.8[/tex]

Answer: 0.8

Step-by-step explanation:

Answer:

Since you want me to answer 3 lb 1 oz - 1 lb 15 oz instead, the answer is 18 oz

Step-by-step explanation:

First, convert pounds and ounces to just ounces, then subtract the total ounces. Finally, convert back to pounds and ounces to get the result of 8 lb 1 oz minus 3 lb 6 oz, which is 4 lb 11 oz.

Subtracting Mixed Measurements

To find the result of 8 lb 1 oz − 3 lb 6 oz, follow these steps:

Convert everything to ounces for easier subtraction (since there are 16 ounces in a pound).

Subtract the ounces first, then subtract the pounds.

Step-by-Step Solution

Step 1: Convert to ounces
8 lb 1 oz = (8 × 16) + 1 = 128 + 1 = 129 ounces
3 lb 6 oz = (3 × 16) + 6 = 48 + 6 = 54 ounces

Step 2: Subtract the ounces
129 ounces - 54 ounces = 75 ounces

Step 3: Convert back to pounds and ounces
75 ounces = 4 lb 11 oz (since 75 ÷ 16 = 4 remainder 11)

Therefore, 8 lb 1 oz − 3 lb 6 oz = 4 lb 11 oz.

Answer:

see explanation

Step-by-step explanation:

given x² - 6x - 21 = 0 ( add 21 to both sides )

x² - 6x = 21

to complete the square

• add ( half the coefficient of the x-term)² to both sides

x² + 2 (- 3)x +9 = 21 + 9

(x - 3)² = 30 ( take the square root of both sides )

x - 3 = ± [tex]\sqrt{30}[/tex] ( add 3 to both sides )

x = 3 ± [tex]\sqrt{30}[/tex]

x = 3 - [tex]\sqrt{30}[/tex] = - 2.48 ( to 2 dec. places ) or

x = 3 + [tex]\sqrt{30}[/tex] = 8.48 ( to 2 dec. places )

Answer:

Linear  

Step-by-step explanation:

Each time x increases by one unit, y increases by three units.

The table represents a linear function of x.

Answer:

4 > −3

Step-by-step explanation:

To find a number to the right of -3, it must be bigger than -3

The open part of the inequality faces the bigger number.

4 is bigger than -3

4>-3

Answer:

sin theta  = 3/5

cos theta = 4/5

tan theta = 3/4

Step-by-step explanation:

sin = opposite / hypotenuse

cos = adjacent / hypotenuse

tan = opposite / adjacent

sin theta = 18/ 30 = 3/5

cos theta = 24/30 = 4/5

tan theta = 18/24 = 3/4

Answer:

[tex]sin \theta = \frac{3}{5} = 0.6\\\\ cos \theta = \frac{4}{5} = 0.8\\\\tan \theta = \frac{3}{4} = 0.75\\[/tex]

Step-by-step explanation:

Use SOHCAHTOA for reference

[tex]sin = \frac{opposite}{hypotenuse} \\\\cos = \frac{adjacent}{hypotenuse} \\\\tan = \frac{opposite}{adjacent}[/tex]

[tex]sin \theta = \frac{18}{30} = \frac{3}{5} = 0.6\\\\cos \theta = \frac{24}{30} = \frac{4}{5} = 0.8\\\\tan \theta = \frac{18}{24} = \frac{3}{4} = 0.75[/tex]

Answer:

As you did not provide any "next steps", I would do it this way:

2q - 4 = 20 // add 4 to both sides

2q = 24 // divide both sides by 2

q = 12

Answer:

2q-4=20

Step-by-step explanation:

Answer:

30% of the meat on the platter is ham.

Step-by-step explanation:

90 slices = 100%

10% = 9 slices

90 - 63 = 27 slices (this is the amount of ham)

10% x 3 = 30% = 27 slices of ham

Answer:

27 slices of ham which is about 30% of the meat.

Step-by-step explanation:

In this problem we have given

no. of slices of meat=90

no of slices of turkey's meat=63

Percent of ham in platter=?

No of ham slices= Total slices -turkey slices

=90 - 63

= 27 slices

therefore no of ham slices=27

percent of ham slices=Ham slicesx100/total slices

=27x100/90%

=30%

Therefore  percent of ham's in patter=30%

Answer:x<=(20)/(a)

Step-by-step explanation:

Answer:

The correct answer option is A. x2 – 3x + 15.

Step-by-step explanation:

We are given the following expression and we are supposed to simplify it:

[tex]7x^2+6x-9x-6x^2+15[/tex]

Before solving it, a good idea will be to arrange all the like terms together in their decreasing power and write the expression as:

[tex]7x^2-6x^2+6x-9x+15[/tex]

Simplifying it to get:

[tex]x^2-3x+15[/tex]

Therefore, the first option A is the correct answer x2 – 3x + 15.

Answer:

A. [tex]x^{2} - 3x +15[/tex]

Step-by-step explanation:

Given:

7x^2 + 6x – 9x – 6x^2 + 15.

On combining the x^2, and "x" terms we get,

= (7x^2 – 6x^2) + (6x – 9x)  + 15

Now, here simple addition of integers takes places

=  x^ - 3x + 15

Answer:

D

Step-by-step explanation:

The quadratic formula is

[tex]x=\frac{-b+\sqrt{b^2-4ac} }{2a}[/tex].

It is important because while some quadratics are factorable and can be solved not all are. The formula will solve all quadratic equations and can also give both real and imaginary solutions.  Using the formula will require less work than finding the factors if factorable. We will substitute a=2, b=16 and c=-9.

[tex]x=\frac{-b+/-\sqrt{b^2-4ac} }{2a}\\x=\frac{-(16)+/-\sqrt{(16)^2-4(2)(-9)} }{2(2)}\\x=\frac{-16+/-\sqrt{256+72} }{4}[/tex]

We will now simplify and solve.

[tex]x=\frac{-16+/-\sqrt{328}}{4}\\x=-4+/-\sqrt{\frac{328}{16}}\\x=-4+/-\sqrt{\frac{41*8}{2*8}}\\x=-4+/-\sqrt{\frac{41}{2}}[/tex]