a gram is equevalint to 0.0353 ounces one ounce is how may grams round to the nearest tenth

Answer:

x=29°

Step-by-step explanation:

The sign above means congruent meaning the shapes are of the same shape and sizes.

The triangles are oppositely congruent meaning angle D= angle A and angle E= angle B.

So if C is 48 and D is 74, 48+74= 122. 180-122=58

Angle E is 58. According to the second statement above angle A will then be 74 and C will still be 48

74+48+2x= 180

2x=58

x=58/2 = 29°

Answer:

y = (3/2)x + 2

Step-by-step explanation:

The slope-intercept form of the equation of a line is:

y = mx + b

m = slope, and (x, y) can be substituted by the coordinates of the given point.

8 = (3/2)(4) + b

8 = 6 + b

b = 2

y = (3/2)x + 2

Answer: £535

Step-by-step explanation:

Herr is the complete question:

Tim and three friends go on holiday together for a week.

The 4 friends will share the costs of the holiday equally,

Here are the costs of the holiday.

£1280 for 4 return plane tickets

£640 for the villa

£220 for hire of a car for the week

Work out how much Tim has to pay for his share of the costs.

Firstly, we have to calculate the total cost of the holiday. This will be:

= £1280 + £640 + £220

= £2140

We are also told that they will share the costs equally. Since there are 4 people, Tim will have to pay:

= £2140 ÷ 4

= £535

Tim will pay £535

Answer:

6/1 x 1/2 = 6/2 = 3/1

6 x 1 = 6

1 x 2 = 2

= 6/2 = -3/1

hope this helps pls mark brainliest

Answer:

100 =x

Step-by-step explanation:

We want the same ratio

70       x

----- = ---------

84          120

Using cross products

70*120 = 84x

Divide each side by 84

70*120/84 = x

100 =x

Answer: 100 people

Step-by-step explanation:

So if we know that 70 out of 80 prefer pro football in ht north then we could set up a proportion to solve how many will prefer pro football in the south over the total of 120.

[tex]\frac{70}{84} = \frac{x}{120}[/tex]   =?

84x = 8400

x= 100  

Now we could say that a 100 people has to prefer professional football .

Answer:

The correct option is;

A. a shaded region below a solid boundary line

Step-by-step explanation:

The parameters given are;

The equation, y ≤ 2x - 1

We compare the above equation with the equation for a straight line, y = m·x + c to get

The slope m = 2

The y-intercept c = -1

Therefore, we have;

The graph of an inequality of a y value which is less than or equal to a function is represented by a solid line having the shaded region, which shows the area that satisfies the inequality, shaded below the line

Which gives the correct option as A. A shaded region below a solid boundary line.

Answer:

C

Step-by-step explanation:

The y-intercept is where the line passes through the y-axis

On this graph, we can see this is at the point (0, 2)

Answer:

(0,2)

Step-by-step explanation:

The y intercept is where the graph crosses the y axis ( where x =0)

The graph crosses at y=2

(0,2)

Answer:

At the end of ten days, the size of population B is 256 times that of population A

Step-by-step explanation:

We work under the premise that population A and B start both with the same number of individuals. Let's call such initial population [tex]N_0[/tex]

Now, we write the exponential expression that describes population A as a function of days (t) for the first 6 days:

[tex]N_A=N_0\,(2)^t[/tex]

which represents the starting point with [tex]N_0[/tex] individuals on day zero, doubling after one day (t= 1), and keeping on doubling the following days for 6 days.

So at the end of 6 days, population A would have the following number of individuals:

[tex]N_A=N_0\,(2)^6\\N_A=N_0\,(64)\\N_A=64\,N_0[/tex]

That is 64 times the starting number of individuals.

After this, the population stops growing and starts reducing to one-half each day. This behavior can be represented by:

[tex]N_A=64\,N_0\,(\frac{1}{2} )^t[/tex]

therefore after 4 days in this pattern, this culture has the following number of organisms:

[tex]N_A=64\,N_0\,(\frac{1}{2} )^4\\N_A=64\,N_0\,(\frac{1}{16} )\\N_A=4\,N_0[/tex]

which is now just four times what the culture started with.

Now, on the other hand, population B grows doubling each day without interruption, so at the end of 10 days its size is given by:

[tex]N_B=N_0\,(2)^t\\N_B=N_0\,(2)^10\\N_B=N_0\1024\\N_B=1024\,N_0[/tex]

that is it has 1024 times the initial number of organisms.

So if we compare both populations at day 10:

[tex]\frac{N_B}{N_A} =\frac{1024\/N_0}{4\,N_0} =256[/tex]

Therefore, at the end of ten days, population B is 256 times the size of population A

Answer:

After 10 days, population B has grown to be 256 times the size of population A.

Step-by-step explanation:

Answer:

Hope it helps....!!!!!

Step-by-step explanation:

AB = c = 38

BC = a = 29

AC = b

Angle ABC = 63 degrees

Solving for AC   "b":

Cosine rule: c^2 = a^2 * b^2 -2ab * cos C

38^2 = 29^2 * b^2 - (2* 29) * b * (cos 38)

1444 = 841 * b^2 - 58 * b * 0.955

(1444 + 58)/0.955 = b^2 * b

1572.77486911 = b^3

11.62935 = b

11.63 = b (rounded to two decimal places)

Now solving for angle A:

Sine rule: a/sinA = b/sinB

29/sinA = 11.63/sin(63)

sinA/29 = sin(63)/11.63

sin A = (sin(63)/11.63) * 29

sin A = 0.41731

A = sin^-1 (0.41731)

A = 24 degrees 39 minutes 53 seconds

Now solving for angle C:

Sine rule: c/sinC = b/sinB

38/sinC = 11.63/sin(63)

sinC/38 = sin(63)/11.63

sin C = (sin(63)/11.63) * 38

sin C = 0.54682

C = sin^-1 (0.54682)

C = 33 degrees 8 minutes 56 seconds

Answer:

1. (x +1)(x - 1)

2. (x+5)(x-5)

3. (x+12)(x-12)

4. (x+14)(x-14)

5. (x+5)(x-7)

Step-by-step explanation:

The first 4 expressions can be factored with the difference of squares type of factoring.

For #5, the odd one out is (x+5)(x-7) because it isn't a factor of any of the standard form equations, while the others are

Answer:

b.21

Step-by-step explanation:

increass by +2,+3,+4,+5,+6

Answer:

21

Step-by-step explanation:

NEXT NUMBER= 21

Answer:

Exterior Angle = 36 degrees

Step-by-step explanation:

Each interior angle of a regular decagon measures 144 degrees.

=> We'll subtract 144 from 180 to get the measure of the exterior angle.

=> Exterior Angle = 180-144

=> Exterior Angle = 36 degrees

Answer:

u^2 +7u -8=0  where u = 3x+2

Step-by-step explanation:

(3x+2)^2 + 7(3x+2) - 8=0

Let 3x+2 = u

u^2 +7u -8=0

Answer:

The expression of the probability that Paul does not win a raffle expressed as  a combined single fraction is [tex]\dfrac{b-a}{b}[/tex]

Step-by-step explanation:

Given that the probability that Paul wins a raffle is given by the expression a/b, we have;

The probability that Paul wins a raffle. p(x) = a/b

Therefore, the probability that Paul does not win a raffle, p'(x) = 1 - a/b

To express the probability that Paul does not win a raffle as a combined single fraction, we have;

[tex]p'(x) = 1 -\dfrac{a}{b} = \dfrac{b-a}{b}[/tex]

The expression of the probability that Paul does not win a raffle expressed as  a combined single fraction = [tex]\dfrac{b-a}{b}[/tex]

Answer:   8m^10n^10

Thats the answer i hope i was helpful!

Answer:

5/6x - 1/3 > 4/3

Multiply through by 6 you will get

5x - 2 > 8

5x > 8 +2

5x > 10

= x > 2

{ x : x > 2 }

Hope this helps.

Answer:

C x > 2

Step-by-step explanation:

Took the quiz

Answer:

18

Step-by-step explanation:

2 congruent triangles, their respective sides are congruent so:

Answer:

1.8 miles

Step-by-step explanation:

you add 70 and 80 then u divide 270 by 150 which is 1.8

hope this helps

Answer: y = 6

Step-by-step explanation:if x = -30 then -2 x = 60 so 60 - 42 = 18 divide that by 3 and you get y.

Answer:

As Sophie has just taken the medicine, the quantity of drug present in her body is 500mg

Amount left from 1st dose = 4.5/100 × 500 = 22.5mg

Amount of Drug after 2nd dose = Amount left from 1st dose + 2nd dose taken.

Amount of Drug after 2nd dose = 22.5mg + 500mg

Amount of Drug after 2nd dose = 522.5mg

Amount left from 2nd dose = 4.5/100 × 522.5 = 23.513 mg

Amount of Drug after 3rd dose = Amount left from 2nd dose + 3rd dose taken.

Amount of Drug after 3rd dose = 23.513mg + 500mg

Amount of Drug after 3rd dose = 523.513 mg

Amount left from 3rd dose = 4.5/100 × 523.513 = 23.558mg

Amount of Drug after 4rth dose = Amount left from 3rd dose + 4rth dose taken.

Amount of Drug after 4rth dose = 23.558mg + 500mg

Amount of Drug after 4rth dose = 523.558 mg

The pattern formed above can be written in the form of sum of finite geometric series:

Sₙ = 500 + 500(0.045) +500(0.045)² + ........................500(0.045)ⁿ

Sₙ = 500(1 + 0.045 + 0.045² ........................0.045ⁿ)

Where

Sₙ = Sum till nth term

a = 500

r = 0.045

As Sophia takes medicines 2 times a day, she takes medicine 20 times in 10 days. So substitute n=20 in the formula for the sum of finite geometric series

[tex]S_n=a\frac{(1-r^n)}{1-r}\\S_{20}=500(\frac{1-0.045^{20}}{1-0.045})\\S_{20}=523.5602~\text{mg}[/tex]

Greatest amount of antibiotic present = 523.5602 mg

This amount is almost constant after 3rd dose, so it will occur after every dose after 3rd dose

After 1st dose = 500mg

After 2nd dose = 522,5mg

After 3rd dose = 523.513 mg

After the the amount left in the body almost remains constant.

Which means that after each dose, the amount in body is maximum, at the end of the 12 hours, the amount reduces to 4.5%, which reaches almost the same maximum after taking another dose.

Answer: $8859

Step-by-step explanation:

Let value after 10 years be y

y = 45000 (0.85)^10

y = 45000 (0.2)

y = 8859

Answer: -11

Explanation: rise over run, y/x!!

Answer:

x = -5/2

Step-by-step explanation:

4−(2x+4)=5

Distribute the minus sign

4 - 2x -4 = 5

-2x =5

Divide by -2

-2x/-2 = 5/-2

x = -5/2

Answer:

x=-5/2

Step-by-step:

First we multiply -(2x+4) = -2x -4

Now the equation is 4-2x-4 = 5

Combine like terms.

4-4=0

-2x = 5

Divide both sides by -2

Therefore your answer is -5/2

Hope this helps!

Answer:

35 cm

Step-by-step explanation:

As shown in the image attached, the A large rectangle is made by joining three identical small rectangles,

The width of one small rectangle is x cm and the length of one small rectangle is 2x cm. Therefore the perimeter of the small rectangle is given as:

2(length + width) = Perimeter

2(2x + x) = 21

2(3x) = 21

6x = 21

x = 21/6 = 3.5 cm

x = 3.5 cm

From the image attached, the width of the large rectangle is 2x (x + x) and the length is 3x (2x + x). Therefore, the perimeter of the large rectangle is:

2(length + width) = Perimeter

2(3x + 2x) = Perimeter

Perimeter = 2(5x)

Perimeter = 10x

Perimeter = 10(3.5)

Perimeter = 35 cm

Answer:

Point C.

Step-by-step explanation:

When the x-value is negative, the point is moving left. In this case, the point is moving left 1.

When the y-value is positive, the point is moving up. In this case, the point is moving up 3.

Only Point C fits the description.

Answer:

point c

Step-by-step explanation:

hope i helped c:

Answer:

-5

Step-by-step explanation:

The coefficient is a numerical value multiplied with a variable.

2 - 5x - 4 + 8

-5x - 4 + 8 + 2

-5x + 6

The number multiplied with x is -5.

-5 is the coefficient.

Answer:

-5x+6

Step-by-step explanation:

Coefficient is -5 and 6,

Answer:

Rotation

Step-by-step explanation:

Reflection can also be done to map Triangle  DEF onto Triangle D'EF'

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.

Triangle DEF was rotated about point E to form triangle D'E'F'. Reflection can also be done to map Triangle  DEF onto Triangle D'EF'

Find out more on transformation at: https://brainly.com/question/1620969